TSTP Solution File: LCL650+1.005 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : LCL650+1.005 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n021.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 04:57:23 EDT 2022
% Result : Theorem 6.13s 4.14s
% Output : Proof 6.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL650+1.005 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34 % Computer : n021.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 22:59:28 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 6.13/4.14 % SZS status Theorem
% 6.13/4.14 % SZS output start Proof
% 6.13/4.14 tff(p1_type, type, (
% 6.13/4.14 p1: $i > $o)).
% 6.13/4.14 tff(tptp_fun_X_47_type, type, (
% 6.13/4.14 tptp_fun_X_47: $i)).
% 6.13/4.14 tff(p15_type, type, (
% 6.13/4.14 p15: $i > $o)).
% 6.13/4.14 tff(r1_type, type, (
% 6.13/4.14 r1: ( $i * $i ) > $o)).
% 6.13/4.14 tff(tptp_fun_Y_46_type, type, (
% 6.13/4.14 tptp_fun_Y_46: $i)).
% 6.13/4.14 tff(tptp_fun_X_45_type, type, (
% 6.13/4.14 tptp_fun_X_45: $i)).
% 6.13/4.14 tff(tptp_fun_Y_44_type, type, (
% 6.13/4.14 tptp_fun_Y_44: $i)).
% 6.13/4.14 tff(tptp_fun_X_43_type, type, (
% 6.13/4.14 tptp_fun_X_43: $i)).
% 6.13/4.14 tff(tptp_fun_Y_42_type, type, (
% 6.13/4.14 tptp_fun_Y_42: $i)).
% 6.13/4.14 tff(tptp_fun_X_41_type, type, (
% 6.13/4.14 tptp_fun_X_41: $i)).
% 6.13/4.14 tff(tptp_fun_Y_40_type, type, (
% 6.13/4.14 tptp_fun_Y_40: $i)).
% 6.13/4.14 tff(tptp_fun_X_39_type, type, (
% 6.13/4.14 tptp_fun_X_39: $i)).
% 6.13/4.14 tff(tptp_fun_Y_38_type, type, (
% 6.13/4.14 tptp_fun_Y_38: $i)).
% 6.13/4.14 tff(tptp_fun_X_37_type, type, (
% 6.13/4.14 tptp_fun_X_37: $i)).
% 6.13/4.14 tff(tptp_fun_Y_36_type, type, (
% 6.13/4.14 tptp_fun_Y_36: $i)).
% 6.13/4.14 tff(tptp_fun_X_35_type, type, (
% 6.13/4.14 tptp_fun_X_35: $i)).
% 6.13/4.14 tff(tptp_fun_Y_34_type, type, (
% 6.13/4.14 tptp_fun_Y_34: $i)).
% 6.13/4.14 tff(tptp_fun_X_33_type, type, (
% 6.13/4.14 tptp_fun_X_33: $i)).
% 6.13/4.14 tff(tptp_fun_Y_32_type, type, (
% 6.13/4.14 tptp_fun_Y_32: $i)).
% 6.13/4.14 tff(p2_type, type, (
% 6.13/4.14 p2: $i > $o)).
% 6.13/4.14 tff(p3_type, type, (
% 6.13/4.14 p3: $i > $o)).
% 6.13/4.14 tff(tptp_fun_Y_31_type, type, (
% 6.13/4.14 tptp_fun_Y_31: $i > $i)).
% 6.13/4.14 tff(p4_type, type, (
% 6.13/4.14 p4: $i > $o)).
% 6.13/4.14 tff(tptp_fun_X_30_type, type, (
% 6.13/4.14 tptp_fun_X_30: $i > $i)).
% 6.13/4.14 tff(p5_type, type, (
% 6.13/4.14 p5: $i > $o)).
% 6.13/4.14 tff(tptp_fun_Y_29_type, type, (
% 6.13/4.14 tptp_fun_Y_29: $i > $i)).
% 6.13/4.14 tff(p6_type, type, (
% 6.13/4.14 p6: $i > $o)).
% 6.13/4.14 tff(tptp_fun_X_28_type, type, (
% 6.13/4.14 tptp_fun_X_28: $i > $i)).
% 6.13/4.14 tff(p7_type, type, (
% 6.13/4.14 p7: $i > $o)).
% 6.13/4.14 tff(tptp_fun_Y_27_type, type, (
% 6.13/4.14 tptp_fun_Y_27: $i > $i)).
% 6.13/4.14 tff(p8_type, type, (
% 6.13/4.14 p8: $i > $o)).
% 6.13/4.14 tff(tptp_fun_X_26_type, type, (
% 6.13/4.14 tptp_fun_X_26: $i > $i)).
% 6.13/4.14 tff(p9_type, type, (
% 6.13/4.14 p9: $i > $o)).
% 6.13/4.14 tff(tptp_fun_Y_25_type, type, (
% 6.13/4.14 tptp_fun_Y_25: $i > $i)).
% 6.13/4.14 tff(p10_type, type, (
% 6.13/4.14 p10: $i > $o)).
% 6.13/4.14 tff(tptp_fun_X_24_type, type, (
% 6.13/4.14 tptp_fun_X_24: $i > $i)).
% 6.13/4.14 tff(p11_type, type, (
% 6.13/4.14 p11: $i > $o)).
% 6.13/4.14 tff(tptp_fun_Y_23_type, type, (
% 6.13/4.14 tptp_fun_Y_23: $i > $i)).
% 6.13/4.14 tff(p12_type, type, (
% 6.13/4.14 p12: $i > $o)).
% 6.13/4.14 tff(tptp_fun_X_22_type, type, (
% 6.13/4.14 tptp_fun_X_22: $i > $i)).
% 6.13/4.14 tff(p13_type, type, (
% 6.13/4.14 p13: $i > $o)).
% 6.13/4.14 tff(tptp_fun_Y_21_type, type, (
% 6.13/4.14 tptp_fun_Y_21: $i > $i)).
% 6.13/4.14 tff(p14_type, type, (
% 6.13/4.14 p14: $i > $o)).
% 6.13/4.14 tff(tptp_fun_X_20_type, type, (
% 6.13/4.14 tptp_fun_X_20: $i > $i)).
% 6.13/4.14 tff(tptp_fun_Y_19_type, type, (
% 6.13/4.14 tptp_fun_Y_19: $i > $i)).
% 6.13/4.14 tff(tptp_fun_X_18_type, type, (
% 6.13/4.14 tptp_fun_X_18: $i > $i)).
% 6.13/4.14 tff(p16_type, type, (
% 6.13/4.14 p16: $i > $o)).
% 6.13/4.14 tff(tptp_fun_X_0_type, type, (
% 6.13/4.14 tptp_fun_X_0: $i)).
% 6.13/4.14 tff(tptp_fun_X_17_type, type, (
% 6.13/4.14 tptp_fun_X_17: $i)).
% 6.13/4.14 tff(p18_type, type, (
% 6.13/4.14 p18: $i > $o)).
% 6.13/4.14 tff(p20_type, type, (
% 6.13/4.14 p20: $i > $o)).
% 6.13/4.14 tff(p22_type, type, (
% 6.13/4.14 p22: $i > $o)).
% 6.13/4.14 tff(p24_type, type, (
% 6.13/4.14 p24: $i > $o)).
% 6.13/4.14 tff(p26_type, type, (
% 6.13/4.14 p26: $i > $o)).
% 6.13/4.14 tff(p28_type, type, (
% 6.13/4.14 p28: $i > $o)).
% 6.13/4.14 tff(p30_type, type, (
% 6.13/4.14 p30: $i > $o)).
% 6.13/4.14 tff(p32_type, type, (
% 6.13/4.14 p32: $i > $o)).
% 6.13/4.14 tff(tptp_fun_Y_16_type, type, (
% 6.13/4.14 tptp_fun_Y_16: $i)).
% 6.13/4.14 tff(tptp_fun_X_15_type, type, (
% 6.13/4.14 tptp_fun_X_15: $i)).
% 6.13/4.14 tff(tptp_fun_Y_14_type, type, (
% 6.13/4.14 tptp_fun_Y_14: $i)).
% 6.13/4.14 tff(tptp_fun_X_13_type, type, (
% 6.13/4.14 tptp_fun_X_13: $i)).
% 6.13/4.14 tff(tptp_fun_Y_12_type, type, (
% 6.13/4.14 tptp_fun_Y_12: $i)).
% 6.13/4.14 tff(tptp_fun_X_11_type, type, (
% 6.13/4.14 tptp_fun_X_11: $i)).
% 6.13/4.14 tff(tptp_fun_Y_10_type, type, (
% 6.13/4.14 tptp_fun_Y_10: $i)).
% 6.13/4.14 tff(tptp_fun_X_9_type, type, (
% 6.13/4.14 tptp_fun_X_9: $i)).
% 6.13/4.14 tff(tptp_fun_Y_8_type, type, (
% 6.13/4.14 tptp_fun_Y_8: $i)).
% 6.13/4.14 tff(tptp_fun_X_7_type, type, (
% 6.13/4.14 tptp_fun_X_7: $i)).
% 6.13/4.14 tff(tptp_fun_Y_6_type, type, (
% 6.13/4.14 tptp_fun_Y_6: $i)).
% 6.13/4.14 tff(tptp_fun_X_5_type, type, (
% 6.13/4.14 tptp_fun_X_5: $i)).
% 6.13/4.14 tff(tptp_fun_Y_4_type, type, (
% 6.13/4.14 tptp_fun_Y_4: $i)).
% 6.13/4.14 tff(tptp_fun_X_3_type, type, (
% 6.13/4.14 tptp_fun_X_3: $i)).
% 6.13/4.14 tff(tptp_fun_Y_2_type, type, (
% 6.13/4.14 tptp_fun_Y_2: $i)).
% 6.13/4.14 tff(p17_type, type, (
% 6.13/4.14 p17: $i > $o)).
% 6.13/4.14 tff(tptp_fun_Y_1_type, type, (
% 6.13/4.14 tptp_fun_Y_1: $i)).
% 6.13/4.14 tff(1,assumption,((~((~p1(X!47)) | (~p15(X!47)))) | (~(p15(X!47) | p1(X!47)))), introduced(assumption)).
% 6.13/4.14 tff(2,assumption,(~![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))), introduced(assumption)).
% 6.13/4.14 tff(3,plain,
% 6.13/4.14 (((~((~r1(X!0, Y!1)) | p17(Y!1))) & (r1(X!0, Y!2) & r1(Y!2, X!3) & r1(X!3, Y!4) & r1(Y!4, X!5) & r1(X!5, Y!6) & r1(Y!6, X!7) & r1(X!7, Y!8) & r1(Y!8, X!9) & r1(X!9, Y!10) & r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17)))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((~((~r1(Y, tptp_fun_X_18(Y))) | p16(tptp_fun_X_18(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p1(X) & p15(X)) | ((~p15(X)) & (~p1(X)))))))))))))))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_19(X))) | p15(tptp_fun_Y_19(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p15(X) & p14(X)) | ((~p14(X)) & (~p15(X))))))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p14(X) & p13(X)) | ((~p13(X)) & (~p14(X)))))))))))))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p13(X) & p12(X)) | ((~p12(X)) & (~p13(X))))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p12(X) & p11(X)) | ((~p11(X)) & (~p12(X)))))))))))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p11(X) & p10(X)) | ((~p10(X)) & (~p11(X))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p10(X) & p9(X)) | ((~p9(X)) & (~p10(X)))))))))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p9(X) & p8(X)) | ((~p8(X)) & (~p9(X))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p8(X) & p7(X)) | ((~p7(X)) & (~p8(X)))))))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p7(X) & p6(X)) | ((~p6(X)) & (~p7(X))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p6(X) & p5(X)) | ((~p5(X)) & (~p6(X)))))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p5(X) & p4(X)) | ((~p4(X)) & (~p5(X))))))))) & ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p4(X) & p3(X)) | ((~p3(X)) & (~p4(X)))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p3(X) & p2(X)) | ((~p2(X)) & (~p3(X))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p2(X) & p1(X)) | ((~p1(X)) & (~p2(X))))))))))))))))))))))))))))))))))) & (r1(X!0, Y!32) & r1(Y!32, X!33) & r1(X!33, Y!34) & r1(Y!34, X!35) & r1(X!35, Y!36) & r1(Y!36, X!37) & r1(X!37, Y!38) & r1(Y!38, X!39) & r1(X!39, Y!40) & r1(Y!40, X!41) & r1(X!41, Y!42) & r1(Y!42, X!43) & r1(X!43, Y!44) & r1(Y!44, X!45) & r1(X!45, Y!46) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))))) <=> ((~((~r1(X!0, Y!1)) | p17(Y!1))) & r1(X!0, Y!2) & r1(Y!2, X!3) & r1(X!3, Y!4) & r1(Y!4, X!5) & r1(X!5, Y!6) & r1(Y!6, X!7) & r1(X!7, Y!8) & r1(Y!8, X!9) & r1(X!9, Y!10) & r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((~((~r1(Y, tptp_fun_X_18(Y))) | p16(tptp_fun_X_18(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p1(X) & p15(X)) | ((~p15(X)) & (~p1(X)))))))))))))))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_19(X))) | p15(tptp_fun_Y_19(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p15(X) & p14(X)) | ((~p14(X)) & (~p15(X))))))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p14(X) & p13(X)) | ((~p13(X)) & (~p14(X)))))))))))))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p13(X) & p12(X)) | ((~p12(X)) & (~p13(X))))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p12(X) & p11(X)) | ((~p11(X)) & (~p12(X)))))))))))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p11(X) & p10(X)) | ((~p10(X)) & (~p11(X))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p10(X) & p9(X)) | ((~p9(X)) & (~p10(X)))))))))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p9(X) & p8(X)) | ((~p8(X)) & (~p9(X))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p8(X) & p7(X)) | ((~p7(X)) & (~p8(X)))))))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p7(X) & p6(X)) | ((~p6(X)) & (~p7(X))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p6(X) & p5(X)) | ((~p5(X)) & (~p6(X)))))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p5(X) & p4(X)) | ((~p4(X)) & (~p5(X))))))))) & ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p4(X) & p3(X)) | ((~p3(X)) & (~p4(X)))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p3(X) & p2(X)) | ((~p2(X)) & (~p3(X))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p2(X) & p1(X)) | ((~p1(X)) & (~p2(X))))))))))))))))))))))))))))))))))) & r1(X!0, Y!32) & r1(Y!32, X!33) & r1(X!33, Y!34) & r1(Y!34, X!35) & r1(X!35, Y!36) & r1(Y!36, X!37) & r1(X!37, Y!38) & r1(Y!38, X!39) & r1(X!39, Y!40) & r1(Y!40, X!41) & r1(X!41, Y!42) & r1(Y!42, X!43) & r1(X!43, Y!44) & r1(Y!44, X!45) & r1(X!45, Y!46) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))))),
% 6.13/4.15 inference(rewrite,[status(thm)],[])).
% 6.13/4.15 tff(4,plain,
% 6.13/4.15 ((r1(X!0, Y!32) & (r1(Y!32, X!33) & r1(X!33, Y!34) & r1(Y!34, X!35) & r1(X!35, Y!36) & r1(Y!36, X!37) & r1(X!37, Y!38) & r1(Y!38, X!39) & r1(X!39, Y!40) & r1(Y!40, X!41) & r1(X!41, Y!42) & r1(Y!42, X!43) & r1(X!43, Y!44) & r1(Y!44, X!45) & r1(X!45, Y!46) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))))) <=> (r1(X!0, Y!32) & r1(Y!32, X!33) & r1(X!33, Y!34) & r1(Y!34, X!35) & r1(X!35, Y!36) & r1(Y!36, X!37) & r1(X!37, Y!38) & r1(Y!38, X!39) & r1(X!39, Y!40) & r1(Y!40, X!41) & r1(X!41, Y!42) & r1(Y!42, X!43) & r1(X!43, Y!44) & r1(Y!44, X!45) & r1(X!45, Y!46) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))))),
% 6.13/4.15 inference(rewrite,[status(thm)],[])).
% 6.13/4.15 tff(5,plain,
% 6.13/4.15 ((r1(Y!32, X!33) & (r1(X!33, Y!34) & r1(Y!34, X!35) & r1(X!35, Y!36) & r1(Y!36, X!37) & r1(X!37, Y!38) & r1(Y!38, X!39) & r1(X!39, Y!40) & r1(Y!40, X!41) & r1(X!41, Y!42) & r1(Y!42, X!43) & r1(X!43, Y!44) & r1(Y!44, X!45) & r1(X!45, Y!46) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))))) <=> (r1(Y!32, X!33) & r1(X!33, Y!34) & r1(Y!34, X!35) & r1(X!35, Y!36) & r1(Y!36, X!37) & r1(X!37, Y!38) & r1(Y!38, X!39) & r1(X!39, Y!40) & r1(Y!40, X!41) & r1(X!41, Y!42) & r1(Y!42, X!43) & r1(X!43, Y!44) & r1(Y!44, X!45) & r1(X!45, Y!46) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))))),
% 6.13/4.15 inference(rewrite,[status(thm)],[])).
% 6.13/4.15 tff(6,plain,
% 6.13/4.15 ((r1(X!33, Y!34) & (r1(Y!34, X!35) & r1(X!35, Y!36) & r1(Y!36, X!37) & r1(X!37, Y!38) & r1(Y!38, X!39) & r1(X!39, Y!40) & r1(Y!40, X!41) & r1(X!41, Y!42) & r1(Y!42, X!43) & r1(X!43, Y!44) & r1(Y!44, X!45) & r1(X!45, Y!46) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))))) <=> (r1(X!33, Y!34) & r1(Y!34, X!35) & r1(X!35, Y!36) & r1(Y!36, X!37) & r1(X!37, Y!38) & r1(Y!38, X!39) & r1(X!39, Y!40) & r1(Y!40, X!41) & r1(X!41, Y!42) & r1(Y!42, X!43) & r1(X!43, Y!44) & r1(Y!44, X!45) & r1(X!45, Y!46) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))))),
% 6.13/4.15 inference(rewrite,[status(thm)],[])).
% 6.13/4.15 tff(7,plain,
% 6.13/4.15 ((r1(Y!34, X!35) & (r1(X!35, Y!36) & r1(Y!36, X!37) & r1(X!37, Y!38) & r1(Y!38, X!39) & r1(X!39, Y!40) & r1(Y!40, X!41) & r1(X!41, Y!42) & r1(Y!42, X!43) & r1(X!43, Y!44) & r1(Y!44, X!45) & r1(X!45, Y!46) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))))) <=> (r1(Y!34, X!35) & r1(X!35, Y!36) & r1(Y!36, X!37) & r1(X!37, Y!38) & r1(Y!38, X!39) & r1(X!39, Y!40) & r1(Y!40, X!41) & r1(X!41, Y!42) & r1(Y!42, X!43) & r1(X!43, Y!44) & r1(Y!44, X!45) & r1(X!45, Y!46) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))))),
% 6.13/4.15 inference(rewrite,[status(thm)],[])).
% 6.13/4.15 tff(8,plain,
% 6.13/4.15 ((r1(X!35, Y!36) & (r1(Y!36, X!37) & r1(X!37, Y!38) & r1(Y!38, X!39) & r1(X!39, Y!40) & r1(Y!40, X!41) & r1(X!41, Y!42) & r1(Y!42, X!43) & r1(X!43, Y!44) & r1(Y!44, X!45) & r1(X!45, Y!46) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))))) <=> (r1(X!35, Y!36) & r1(Y!36, X!37) & r1(X!37, Y!38) & r1(Y!38, X!39) & r1(X!39, Y!40) & r1(Y!40, X!41) & r1(X!41, Y!42) & r1(Y!42, X!43) & r1(X!43, Y!44) & r1(Y!44, X!45) & r1(X!45, Y!46) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))))),
% 6.13/4.15 inference(rewrite,[status(thm)],[])).
% 6.13/4.15 tff(9,plain,
% 6.13/4.15 ((r1(Y!36, X!37) & (r1(X!37, Y!38) & r1(Y!38, X!39) & r1(X!39, Y!40) & r1(Y!40, X!41) & r1(X!41, Y!42) & r1(Y!42, X!43) & r1(X!43, Y!44) & r1(Y!44, X!45) & r1(X!45, Y!46) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))))) <=> (r1(Y!36, X!37) & r1(X!37, Y!38) & r1(Y!38, X!39) & r1(X!39, Y!40) & r1(Y!40, X!41) & r1(X!41, Y!42) & r1(Y!42, X!43) & r1(X!43, Y!44) & r1(Y!44, X!45) & r1(X!45, Y!46) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))))),
% 6.13/4.15 inference(rewrite,[status(thm)],[])).
% 6.13/4.15 tff(10,plain,
% 6.13/4.15 ((r1(X!37, Y!38) & (r1(Y!38, X!39) & r1(X!39, Y!40) & r1(Y!40, X!41) & r1(X!41, Y!42) & r1(Y!42, X!43) & r1(X!43, Y!44) & r1(Y!44, X!45) & r1(X!45, Y!46) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))))) <=> (r1(X!37, Y!38) & r1(Y!38, X!39) & r1(X!39, Y!40) & r1(Y!40, X!41) & r1(X!41, Y!42) & r1(Y!42, X!43) & r1(X!43, Y!44) & r1(Y!44, X!45) & r1(X!45, Y!46) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))))),
% 6.13/4.15 inference(rewrite,[status(thm)],[])).
% 6.13/4.15 tff(11,plain,
% 6.13/4.15 ((r1(Y!38, X!39) & (r1(X!39, Y!40) & r1(Y!40, X!41) & r1(X!41, Y!42) & r1(Y!42, X!43) & r1(X!43, Y!44) & r1(Y!44, X!45) & r1(X!45, Y!46) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))))) <=> (r1(Y!38, X!39) & r1(X!39, Y!40) & r1(Y!40, X!41) & r1(X!41, Y!42) & r1(Y!42, X!43) & r1(X!43, Y!44) & r1(Y!44, X!45) & r1(X!45, Y!46) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))))),
% 6.13/4.15 inference(rewrite,[status(thm)],[])).
% 6.13/4.15 tff(12,plain,
% 6.13/4.15 ((r1(X!39, Y!40) & (r1(Y!40, X!41) & r1(X!41, Y!42) & r1(Y!42, X!43) & r1(X!43, Y!44) & r1(Y!44, X!45) & r1(X!45, Y!46) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))))) <=> (r1(X!39, Y!40) & r1(Y!40, X!41) & r1(X!41, Y!42) & r1(Y!42, X!43) & r1(X!43, Y!44) & r1(Y!44, X!45) & r1(X!45, Y!46) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))))),
% 6.13/4.15 inference(rewrite,[status(thm)],[])).
% 6.13/4.15 tff(13,plain,
% 6.13/4.15 ((r1(Y!40, X!41) & (r1(X!41, Y!42) & r1(Y!42, X!43) & r1(X!43, Y!44) & r1(Y!44, X!45) & r1(X!45, Y!46) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))))) <=> (r1(Y!40, X!41) & r1(X!41, Y!42) & r1(Y!42, X!43) & r1(X!43, Y!44) & r1(Y!44, X!45) & r1(X!45, Y!46) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))))),
% 6.13/4.15 inference(rewrite,[status(thm)],[])).
% 6.13/4.15 tff(14,plain,
% 6.13/4.15 ((r1(X!41, Y!42) & (r1(Y!42, X!43) & r1(X!43, Y!44) & r1(Y!44, X!45) & r1(X!45, Y!46) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))))) <=> (r1(X!41, Y!42) & r1(Y!42, X!43) & r1(X!43, Y!44) & r1(Y!44, X!45) & r1(X!45, Y!46) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))))),
% 6.13/4.15 inference(rewrite,[status(thm)],[])).
% 6.13/4.15 tff(15,plain,
% 6.13/4.15 ((r1(Y!42, X!43) & (r1(X!43, Y!44) & r1(Y!44, X!45) & r1(X!45, Y!46) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))))) <=> (r1(Y!42, X!43) & r1(X!43, Y!44) & r1(Y!44, X!45) & r1(X!45, Y!46) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))))),
% 6.13/4.15 inference(rewrite,[status(thm)],[])).
% 6.13/4.15 tff(16,plain,
% 6.13/4.15 ((r1(X!43, Y!44) & (r1(Y!44, X!45) & r1(X!45, Y!46) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))))) <=> (r1(X!43, Y!44) & r1(Y!44, X!45) & r1(X!45, Y!46) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))))),
% 6.13/4.15 inference(rewrite,[status(thm)],[])).
% 6.13/4.15 tff(17,plain,
% 6.13/4.15 ((r1(Y!44, X!45) & (r1(X!45, Y!46) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))))) <=> (r1(Y!44, X!45) & r1(X!45, Y!46) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))))),
% 6.13/4.15 inference(rewrite,[status(thm)],[])).
% 6.13/4.15 tff(18,plain,
% 6.13/4.15 (((~(~r1(X!45, Y!46))) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47))))) <=> (r1(X!45, Y!46) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))))),
% 6.13/4.15 inference(rewrite,[status(thm)],[])).
% 6.13/4.15 tff(19,plain,
% 6.13/4.15 ((~(~r1(Y!44, X!45))) <=> r1(Y!44, X!45)),
% 6.13/4.15 inference(rewrite,[status(thm)],[])).
% 6.13/4.15 tff(20,plain,
% 6.13/4.15 (((~(~r1(Y!44, X!45))) & ((~(~r1(X!45, Y!46))) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))))) <=> (r1(Y!44, X!45) & (r1(X!45, Y!46) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47))))))),
% 6.13/4.15 inference(monotonicity,[status(thm)],[19, 18])).
% 6.13/4.15 tff(21,plain,
% 6.13/4.15 (((~(~r1(Y!44, X!45))) & ((~(~r1(X!45, Y!46))) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))))) <=> (r1(Y!44, X!45) & r1(X!45, Y!46) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))))),
% 6.13/4.15 inference(transitivity,[status(thm)],[20, 17])).
% 6.13/4.15 tff(22,plain,
% 6.13/4.15 ((~(~r1(X!43, Y!44))) <=> r1(X!43, Y!44)),
% 6.13/4.15 inference(rewrite,[status(thm)],[])).
% 6.13/4.15 tff(23,plain,
% 6.13/4.15 (((~(~r1(X!43, Y!44))) & ((~(~r1(Y!44, X!45))) & ((~(~r1(X!45, Y!46))) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47))))))) <=> (r1(X!43, Y!44) & (r1(Y!44, X!45) & r1(X!45, Y!46) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47))))))),
% 6.13/4.15 inference(monotonicity,[status(thm)],[22, 21])).
% 6.13/4.15 tff(24,plain,
% 6.13/4.15 (((~(~r1(X!43, Y!44))) & ((~(~r1(Y!44, X!45))) & ((~(~r1(X!45, Y!46))) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47))))))) <=> (r1(X!43, Y!44) & r1(Y!44, X!45) & r1(X!45, Y!46) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))))),
% 6.13/4.15 inference(transitivity,[status(thm)],[23, 16])).
% 6.13/4.15 tff(25,plain,
% 6.13/4.15 ((~(~r1(Y!42, X!43))) <=> r1(Y!42, X!43)),
% 6.13/4.15 inference(rewrite,[status(thm)],[])).
% 6.13/4.15 tff(26,plain,
% 6.13/4.15 (((~(~r1(Y!42, X!43))) & ((~(~r1(X!43, Y!44))) & ((~(~r1(Y!44, X!45))) & ((~(~r1(X!45, Y!46))) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))))))) <=> (r1(Y!42, X!43) & (r1(X!43, Y!44) & r1(Y!44, X!45) & r1(X!45, Y!46) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47))))))),
% 6.13/4.15 inference(monotonicity,[status(thm)],[25, 24])).
% 6.13/4.15 tff(27,plain,
% 6.13/4.15 (((~(~r1(Y!42, X!43))) & ((~(~r1(X!43, Y!44))) & ((~(~r1(Y!44, X!45))) & ((~(~r1(X!45, Y!46))) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))))))) <=> (r1(Y!42, X!43) & r1(X!43, Y!44) & r1(Y!44, X!45) & r1(X!45, Y!46) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))))),
% 6.13/4.15 inference(transitivity,[status(thm)],[26, 15])).
% 6.13/4.15 tff(28,plain,
% 6.13/4.15 ((~(~r1(X!41, Y!42))) <=> r1(X!41, Y!42)),
% 6.13/4.15 inference(rewrite,[status(thm)],[])).
% 6.13/4.15 tff(29,plain,
% 6.13/4.15 (((~(~r1(X!41, Y!42))) & ((~(~r1(Y!42, X!43))) & ((~(~r1(X!43, Y!44))) & ((~(~r1(Y!44, X!45))) & ((~(~r1(X!45, Y!46))) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47))))))))) <=> (r1(X!41, Y!42) & (r1(Y!42, X!43) & r1(X!43, Y!44) & r1(Y!44, X!45) & r1(X!45, Y!46) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47))))))),
% 6.13/4.16 inference(monotonicity,[status(thm)],[28, 27])).
% 6.13/4.16 tff(30,plain,
% 6.13/4.16 (((~(~r1(X!41, Y!42))) & ((~(~r1(Y!42, X!43))) & ((~(~r1(X!43, Y!44))) & ((~(~r1(Y!44, X!45))) & ((~(~r1(X!45, Y!46))) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47))))))))) <=> (r1(X!41, Y!42) & r1(Y!42, X!43) & r1(X!43, Y!44) & r1(Y!44, X!45) & r1(X!45, Y!46) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))))),
% 6.13/4.16 inference(transitivity,[status(thm)],[29, 14])).
% 6.13/4.16 tff(31,plain,
% 6.13/4.16 ((~(~r1(Y!40, X!41))) <=> r1(Y!40, X!41)),
% 6.13/4.16 inference(rewrite,[status(thm)],[])).
% 6.13/4.16 tff(32,plain,
% 6.13/4.16 (((~(~r1(Y!40, X!41))) & ((~(~r1(X!41, Y!42))) & ((~(~r1(Y!42, X!43))) & ((~(~r1(X!43, Y!44))) & ((~(~r1(Y!44, X!45))) & ((~(~r1(X!45, Y!46))) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))))))))) <=> (r1(Y!40, X!41) & (r1(X!41, Y!42) & r1(Y!42, X!43) & r1(X!43, Y!44) & r1(Y!44, X!45) & r1(X!45, Y!46) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47))))))),
% 6.13/4.16 inference(monotonicity,[status(thm)],[31, 30])).
% 6.13/4.16 tff(33,plain,
% 6.13/4.16 (((~(~r1(Y!40, X!41))) & ((~(~r1(X!41, Y!42))) & ((~(~r1(Y!42, X!43))) & ((~(~r1(X!43, Y!44))) & ((~(~r1(Y!44, X!45))) & ((~(~r1(X!45, Y!46))) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))))))))) <=> (r1(Y!40, X!41) & r1(X!41, Y!42) & r1(Y!42, X!43) & r1(X!43, Y!44) & r1(Y!44, X!45) & r1(X!45, Y!46) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))))),
% 6.13/4.16 inference(transitivity,[status(thm)],[32, 13])).
% 6.13/4.16 tff(34,plain,
% 6.13/4.16 ((~(~r1(X!39, Y!40))) <=> r1(X!39, Y!40)),
% 6.13/4.16 inference(rewrite,[status(thm)],[])).
% 6.13/4.16 tff(35,plain,
% 6.13/4.16 (((~(~r1(X!39, Y!40))) & ((~(~r1(Y!40, X!41))) & ((~(~r1(X!41, Y!42))) & ((~(~r1(Y!42, X!43))) & ((~(~r1(X!43, Y!44))) & ((~(~r1(Y!44, X!45))) & ((~(~r1(X!45, Y!46))) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47))))))))))) <=> (r1(X!39, Y!40) & (r1(Y!40, X!41) & r1(X!41, Y!42) & r1(Y!42, X!43) & r1(X!43, Y!44) & r1(Y!44, X!45) & r1(X!45, Y!46) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47))))))),
% 6.13/4.16 inference(monotonicity,[status(thm)],[34, 33])).
% 6.13/4.16 tff(36,plain,
% 6.13/4.16 (((~(~r1(X!39, Y!40))) & ((~(~r1(Y!40, X!41))) & ((~(~r1(X!41, Y!42))) & ((~(~r1(Y!42, X!43))) & ((~(~r1(X!43, Y!44))) & ((~(~r1(Y!44, X!45))) & ((~(~r1(X!45, Y!46))) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47))))))))))) <=> (r1(X!39, Y!40) & r1(Y!40, X!41) & r1(X!41, Y!42) & r1(Y!42, X!43) & r1(X!43, Y!44) & r1(Y!44, X!45) & r1(X!45, Y!46) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))))),
% 6.13/4.16 inference(transitivity,[status(thm)],[35, 12])).
% 6.13/4.16 tff(37,plain,
% 6.13/4.16 ((~(~r1(Y!38, X!39))) <=> r1(Y!38, X!39)),
% 6.13/4.16 inference(rewrite,[status(thm)],[])).
% 6.13/4.16 tff(38,plain,
% 6.13/4.16 (((~(~r1(Y!38, X!39))) & ((~(~r1(X!39, Y!40))) & ((~(~r1(Y!40, X!41))) & ((~(~r1(X!41, Y!42))) & ((~(~r1(Y!42, X!43))) & ((~(~r1(X!43, Y!44))) & ((~(~r1(Y!44, X!45))) & ((~(~r1(X!45, Y!46))) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))))))))))) <=> (r1(Y!38, X!39) & (r1(X!39, Y!40) & r1(Y!40, X!41) & r1(X!41, Y!42) & r1(Y!42, X!43) & r1(X!43, Y!44) & r1(Y!44, X!45) & r1(X!45, Y!46) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47))))))),
% 6.13/4.16 inference(monotonicity,[status(thm)],[37, 36])).
% 6.13/4.16 tff(39,plain,
% 6.13/4.16 (((~(~r1(Y!38, X!39))) & ((~(~r1(X!39, Y!40))) & ((~(~r1(Y!40, X!41))) & ((~(~r1(X!41, Y!42))) & ((~(~r1(Y!42, X!43))) & ((~(~r1(X!43, Y!44))) & ((~(~r1(Y!44, X!45))) & ((~(~r1(X!45, Y!46))) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))))))))))) <=> (r1(Y!38, X!39) & r1(X!39, Y!40) & r1(Y!40, X!41) & r1(X!41, Y!42) & r1(Y!42, X!43) & r1(X!43, Y!44) & r1(Y!44, X!45) & r1(X!45, Y!46) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))))),
% 6.13/4.16 inference(transitivity,[status(thm)],[38, 11])).
% 6.13/4.16 tff(40,plain,
% 6.13/4.16 ((~(~r1(X!37, Y!38))) <=> r1(X!37, Y!38)),
% 6.13/4.16 inference(rewrite,[status(thm)],[])).
% 6.13/4.16 tff(41,plain,
% 6.13/4.16 (((~(~r1(X!37, Y!38))) & ((~(~r1(Y!38, X!39))) & ((~(~r1(X!39, Y!40))) & ((~(~r1(Y!40, X!41))) & ((~(~r1(X!41, Y!42))) & ((~(~r1(Y!42, X!43))) & ((~(~r1(X!43, Y!44))) & ((~(~r1(Y!44, X!45))) & ((~(~r1(X!45, Y!46))) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47))))))))))))) <=> (r1(X!37, Y!38) & (r1(Y!38, X!39) & r1(X!39, Y!40) & r1(Y!40, X!41) & r1(X!41, Y!42) & r1(Y!42, X!43) & r1(X!43, Y!44) & r1(Y!44, X!45) & r1(X!45, Y!46) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47))))))),
% 6.13/4.16 inference(monotonicity,[status(thm)],[40, 39])).
% 6.13/4.16 tff(42,plain,
% 6.13/4.16 (((~(~r1(X!37, Y!38))) & ((~(~r1(Y!38, X!39))) & ((~(~r1(X!39, Y!40))) & ((~(~r1(Y!40, X!41))) & ((~(~r1(X!41, Y!42))) & ((~(~r1(Y!42, X!43))) & ((~(~r1(X!43, Y!44))) & ((~(~r1(Y!44, X!45))) & ((~(~r1(X!45, Y!46))) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47))))))))))))) <=> (r1(X!37, Y!38) & r1(Y!38, X!39) & r1(X!39, Y!40) & r1(Y!40, X!41) & r1(X!41, Y!42) & r1(Y!42, X!43) & r1(X!43, Y!44) & r1(Y!44, X!45) & r1(X!45, Y!46) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))))),
% 6.13/4.16 inference(transitivity,[status(thm)],[41, 10])).
% 6.13/4.16 tff(43,plain,
% 6.13/4.16 ((~(~r1(Y!36, X!37))) <=> r1(Y!36, X!37)),
% 6.13/4.16 inference(rewrite,[status(thm)],[])).
% 6.13/4.16 tff(44,plain,
% 6.13/4.16 (((~(~r1(Y!36, X!37))) & ((~(~r1(X!37, Y!38))) & ((~(~r1(Y!38, X!39))) & ((~(~r1(X!39, Y!40))) & ((~(~r1(Y!40, X!41))) & ((~(~r1(X!41, Y!42))) & ((~(~r1(Y!42, X!43))) & ((~(~r1(X!43, Y!44))) & ((~(~r1(Y!44, X!45))) & ((~(~r1(X!45, Y!46))) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))))))))))))) <=> (r1(Y!36, X!37) & (r1(X!37, Y!38) & r1(Y!38, X!39) & r1(X!39, Y!40) & r1(Y!40, X!41) & r1(X!41, Y!42) & r1(Y!42, X!43) & r1(X!43, Y!44) & r1(Y!44, X!45) & r1(X!45, Y!46) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47))))))),
% 6.15/4.16 inference(monotonicity,[status(thm)],[43, 42])).
% 6.15/4.16 tff(45,plain,
% 6.15/4.16 (((~(~r1(Y!36, X!37))) & ((~(~r1(X!37, Y!38))) & ((~(~r1(Y!38, X!39))) & ((~(~r1(X!39, Y!40))) & ((~(~r1(Y!40, X!41))) & ((~(~r1(X!41, Y!42))) & ((~(~r1(Y!42, X!43))) & ((~(~r1(X!43, Y!44))) & ((~(~r1(Y!44, X!45))) & ((~(~r1(X!45, Y!46))) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))))))))))))) <=> (r1(Y!36, X!37) & r1(X!37, Y!38) & r1(Y!38, X!39) & r1(X!39, Y!40) & r1(Y!40, X!41) & r1(X!41, Y!42) & r1(Y!42, X!43) & r1(X!43, Y!44) & r1(Y!44, X!45) & r1(X!45, Y!46) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))))),
% 6.15/4.16 inference(transitivity,[status(thm)],[44, 9])).
% 6.15/4.16 tff(46,plain,
% 6.15/4.16 ((~(~r1(X!35, Y!36))) <=> r1(X!35, Y!36)),
% 6.15/4.16 inference(rewrite,[status(thm)],[])).
% 6.15/4.16 tff(47,plain,
% 6.15/4.16 (((~(~r1(X!35, Y!36))) & ((~(~r1(Y!36, X!37))) & ((~(~r1(X!37, Y!38))) & ((~(~r1(Y!38, X!39))) & ((~(~r1(X!39, Y!40))) & ((~(~r1(Y!40, X!41))) & ((~(~r1(X!41, Y!42))) & ((~(~r1(Y!42, X!43))) & ((~(~r1(X!43, Y!44))) & ((~(~r1(Y!44, X!45))) & ((~(~r1(X!45, Y!46))) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47))))))))))))))) <=> (r1(X!35, Y!36) & (r1(Y!36, X!37) & r1(X!37, Y!38) & r1(Y!38, X!39) & r1(X!39, Y!40) & r1(Y!40, X!41) & r1(X!41, Y!42) & r1(Y!42, X!43) & r1(X!43, Y!44) & r1(Y!44, X!45) & r1(X!45, Y!46) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47))))))),
% 6.15/4.16 inference(monotonicity,[status(thm)],[46, 45])).
% 6.15/4.16 tff(48,plain,
% 6.15/4.16 (((~(~r1(X!35, Y!36))) & ((~(~r1(Y!36, X!37))) & ((~(~r1(X!37, Y!38))) & ((~(~r1(Y!38, X!39))) & ((~(~r1(X!39, Y!40))) & ((~(~r1(Y!40, X!41))) & ((~(~r1(X!41, Y!42))) & ((~(~r1(Y!42, X!43))) & ((~(~r1(X!43, Y!44))) & ((~(~r1(Y!44, X!45))) & ((~(~r1(X!45, Y!46))) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47))))))))))))))) <=> (r1(X!35, Y!36) & r1(Y!36, X!37) & r1(X!37, Y!38) & r1(Y!38, X!39) & r1(X!39, Y!40) & r1(Y!40, X!41) & r1(X!41, Y!42) & r1(Y!42, X!43) & r1(X!43, Y!44) & r1(Y!44, X!45) & r1(X!45, Y!46) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))))),
% 6.15/4.16 inference(transitivity,[status(thm)],[47, 8])).
% 6.15/4.16 tff(49,plain,
% 6.15/4.16 ((~(~r1(Y!34, X!35))) <=> r1(Y!34, X!35)),
% 6.15/4.16 inference(rewrite,[status(thm)],[])).
% 6.15/4.16 tff(50,plain,
% 6.15/4.16 (((~(~r1(Y!34, X!35))) & ((~(~r1(X!35, Y!36))) & ((~(~r1(Y!36, X!37))) & ((~(~r1(X!37, Y!38))) & ((~(~r1(Y!38, X!39))) & ((~(~r1(X!39, Y!40))) & ((~(~r1(Y!40, X!41))) & ((~(~r1(X!41, Y!42))) & ((~(~r1(Y!42, X!43))) & ((~(~r1(X!43, Y!44))) & ((~(~r1(Y!44, X!45))) & ((~(~r1(X!45, Y!46))) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))))))))))))))) <=> (r1(Y!34, X!35) & (r1(X!35, Y!36) & r1(Y!36, X!37) & r1(X!37, Y!38) & r1(Y!38, X!39) & r1(X!39, Y!40) & r1(Y!40, X!41) & r1(X!41, Y!42) & r1(Y!42, X!43) & r1(X!43, Y!44) & r1(Y!44, X!45) & r1(X!45, Y!46) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47))))))),
% 6.15/4.17 inference(monotonicity,[status(thm)],[49, 48])).
% 6.15/4.17 tff(51,plain,
% 6.15/4.17 (((~(~r1(Y!34, X!35))) & ((~(~r1(X!35, Y!36))) & ((~(~r1(Y!36, X!37))) & ((~(~r1(X!37, Y!38))) & ((~(~r1(Y!38, X!39))) & ((~(~r1(X!39, Y!40))) & ((~(~r1(Y!40, X!41))) & ((~(~r1(X!41, Y!42))) & ((~(~r1(Y!42, X!43))) & ((~(~r1(X!43, Y!44))) & ((~(~r1(Y!44, X!45))) & ((~(~r1(X!45, Y!46))) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))))))))))))))) <=> (r1(Y!34, X!35) & r1(X!35, Y!36) & r1(Y!36, X!37) & r1(X!37, Y!38) & r1(Y!38, X!39) & r1(X!39, Y!40) & r1(Y!40, X!41) & r1(X!41, Y!42) & r1(Y!42, X!43) & r1(X!43, Y!44) & r1(Y!44, X!45) & r1(X!45, Y!46) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))))),
% 6.15/4.17 inference(transitivity,[status(thm)],[50, 7])).
% 6.15/4.17 tff(52,plain,
% 6.15/4.17 ((~(~r1(X!33, Y!34))) <=> r1(X!33, Y!34)),
% 6.15/4.17 inference(rewrite,[status(thm)],[])).
% 6.15/4.17 tff(53,plain,
% 6.15/4.17 (((~(~r1(X!33, Y!34))) & ((~(~r1(Y!34, X!35))) & ((~(~r1(X!35, Y!36))) & ((~(~r1(Y!36, X!37))) & ((~(~r1(X!37, Y!38))) & ((~(~r1(Y!38, X!39))) & ((~(~r1(X!39, Y!40))) & ((~(~r1(Y!40, X!41))) & ((~(~r1(X!41, Y!42))) & ((~(~r1(Y!42, X!43))) & ((~(~r1(X!43, Y!44))) & ((~(~r1(Y!44, X!45))) & ((~(~r1(X!45, Y!46))) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47))))))))))))))))) <=> (r1(X!33, Y!34) & (r1(Y!34, X!35) & r1(X!35, Y!36) & r1(Y!36, X!37) & r1(X!37, Y!38) & r1(Y!38, X!39) & r1(X!39, Y!40) & r1(Y!40, X!41) & r1(X!41, Y!42) & r1(Y!42, X!43) & r1(X!43, Y!44) & r1(Y!44, X!45) & r1(X!45, Y!46) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47))))))),
% 6.15/4.17 inference(monotonicity,[status(thm)],[52, 51])).
% 6.15/4.17 tff(54,plain,
% 6.15/4.17 (((~(~r1(X!33, Y!34))) & ((~(~r1(Y!34, X!35))) & ((~(~r1(X!35, Y!36))) & ((~(~r1(Y!36, X!37))) & ((~(~r1(X!37, Y!38))) & ((~(~r1(Y!38, X!39))) & ((~(~r1(X!39, Y!40))) & ((~(~r1(Y!40, X!41))) & ((~(~r1(X!41, Y!42))) & ((~(~r1(Y!42, X!43))) & ((~(~r1(X!43, Y!44))) & ((~(~r1(Y!44, X!45))) & ((~(~r1(X!45, Y!46))) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47))))))))))))))))) <=> (r1(X!33, Y!34) & r1(Y!34, X!35) & r1(X!35, Y!36) & r1(Y!36, X!37) & r1(X!37, Y!38) & r1(Y!38, X!39) & r1(X!39, Y!40) & r1(Y!40, X!41) & r1(X!41, Y!42) & r1(Y!42, X!43) & r1(X!43, Y!44) & r1(Y!44, X!45) & r1(X!45, Y!46) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))))),
% 6.15/4.17 inference(transitivity,[status(thm)],[53, 6])).
% 6.15/4.17 tff(55,plain,
% 6.15/4.17 ((~(~r1(Y!32, X!33))) <=> r1(Y!32, X!33)),
% 6.15/4.17 inference(rewrite,[status(thm)],[])).
% 6.15/4.17 tff(56,plain,
% 6.15/4.17 (((~(~r1(Y!32, X!33))) & ((~(~r1(X!33, Y!34))) & ((~(~r1(Y!34, X!35))) & ((~(~r1(X!35, Y!36))) & ((~(~r1(Y!36, X!37))) & ((~(~r1(X!37, Y!38))) & ((~(~r1(Y!38, X!39))) & ((~(~r1(X!39, Y!40))) & ((~(~r1(Y!40, X!41))) & ((~(~r1(X!41, Y!42))) & ((~(~r1(Y!42, X!43))) & ((~(~r1(X!43, Y!44))) & ((~(~r1(Y!44, X!45))) & ((~(~r1(X!45, Y!46))) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))))))))))))))))) <=> (r1(Y!32, X!33) & (r1(X!33, Y!34) & r1(Y!34, X!35) & r1(X!35, Y!36) & r1(Y!36, X!37) & r1(X!37, Y!38) & r1(Y!38, X!39) & r1(X!39, Y!40) & r1(Y!40, X!41) & r1(X!41, Y!42) & r1(Y!42, X!43) & r1(X!43, Y!44) & r1(Y!44, X!45) & r1(X!45, Y!46) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47))))))),
% 6.15/4.17 inference(monotonicity,[status(thm)],[55, 54])).
% 6.15/4.17 tff(57,plain,
% 6.15/4.17 (((~(~r1(Y!32, X!33))) & ((~(~r1(X!33, Y!34))) & ((~(~r1(Y!34, X!35))) & ((~(~r1(X!35, Y!36))) & ((~(~r1(Y!36, X!37))) & ((~(~r1(X!37, Y!38))) & ((~(~r1(Y!38, X!39))) & ((~(~r1(X!39, Y!40))) & ((~(~r1(Y!40, X!41))) & ((~(~r1(X!41, Y!42))) & ((~(~r1(Y!42, X!43))) & ((~(~r1(X!43, Y!44))) & ((~(~r1(Y!44, X!45))) & ((~(~r1(X!45, Y!46))) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))))))))))))))))) <=> (r1(Y!32, X!33) & r1(X!33, Y!34) & r1(Y!34, X!35) & r1(X!35, Y!36) & r1(Y!36, X!37) & r1(X!37, Y!38) & r1(Y!38, X!39) & r1(X!39, Y!40) & r1(Y!40, X!41) & r1(X!41, Y!42) & r1(Y!42, X!43) & r1(X!43, Y!44) & r1(Y!44, X!45) & r1(X!45, Y!46) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))))),
% 6.15/4.17 inference(transitivity,[status(thm)],[56, 5])).
% 6.15/4.17 tff(58,plain,
% 6.15/4.17 ((~(~r1(X!0, Y!32))) <=> r1(X!0, Y!32)),
% 6.15/4.17 inference(rewrite,[status(thm)],[])).
% 6.15/4.17 tff(59,plain,
% 6.15/4.17 (((~(~r1(X!0, Y!32))) & ((~(~r1(Y!32, X!33))) & ((~(~r1(X!33, Y!34))) & ((~(~r1(Y!34, X!35))) & ((~(~r1(X!35, Y!36))) & ((~(~r1(Y!36, X!37))) & ((~(~r1(X!37, Y!38))) & ((~(~r1(Y!38, X!39))) & ((~(~r1(X!39, Y!40))) & ((~(~r1(Y!40, X!41))) & ((~(~r1(X!41, Y!42))) & ((~(~r1(Y!42, X!43))) & ((~(~r1(X!43, Y!44))) & ((~(~r1(Y!44, X!45))) & ((~(~r1(X!45, Y!46))) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47))))))))))))))))))) <=> (r1(X!0, Y!32) & (r1(Y!32, X!33) & r1(X!33, Y!34) & r1(Y!34, X!35) & r1(X!35, Y!36) & r1(Y!36, X!37) & r1(X!37, Y!38) & r1(Y!38, X!39) & r1(X!39, Y!40) & r1(Y!40, X!41) & r1(X!41, Y!42) & r1(Y!42, X!43) & r1(X!43, Y!44) & r1(Y!44, X!45) & r1(X!45, Y!46) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47))))))),
% 6.15/4.17 inference(monotonicity,[status(thm)],[58, 57])).
% 6.15/4.17 tff(60,plain,
% 6.15/4.17 (((~(~r1(X!0, Y!32))) & ((~(~r1(Y!32, X!33))) & ((~(~r1(X!33, Y!34))) & ((~(~r1(Y!34, X!35))) & ((~(~r1(X!35, Y!36))) & ((~(~r1(Y!36, X!37))) & ((~(~r1(X!37, Y!38))) & ((~(~r1(Y!38, X!39))) & ((~(~r1(X!39, Y!40))) & ((~(~r1(Y!40, X!41))) & ((~(~r1(X!41, Y!42))) & ((~(~r1(Y!42, X!43))) & ((~(~r1(X!43, Y!44))) & ((~(~r1(Y!44, X!45))) & ((~(~r1(X!45, Y!46))) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47))))))))))))))))))) <=> (r1(X!0, Y!32) & r1(Y!32, X!33) & r1(X!33, Y!34) & r1(Y!34, X!35) & r1(X!35, Y!36) & r1(Y!36, X!37) & r1(X!37, Y!38) & r1(Y!38, X!39) & r1(X!39, Y!40) & r1(Y!40, X!41) & r1(X!41, Y!42) & r1(Y!42, X!43) & r1(X!43, Y!44) & r1(Y!44, X!45) & r1(X!45, Y!46) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))))),
% 6.15/4.17 inference(transitivity,[status(thm)],[59, 4])).
% 6.15/4.17 tff(61,plain,
% 6.15/4.17 ((r1(X!0, Y!2) & (r1(Y!2, X!3) & r1(X!3, Y!4) & r1(Y!4, X!5) & r1(X!5, Y!6) & r1(Y!6, X!7) & r1(X!7, Y!8) & r1(Y!8, X!9) & r1(X!9, Y!10) & r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17))))))) <=> (r1(X!0, Y!2) & r1(Y!2, X!3) & r1(X!3, Y!4) & r1(Y!4, X!5) & r1(X!5, Y!6) & r1(Y!6, X!7) & r1(X!7, Y!8) & r1(Y!8, X!9) & r1(X!9, Y!10) & r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17))))))),
% 6.15/4.17 inference(rewrite,[status(thm)],[])).
% 6.15/4.17 tff(62,plain,
% 6.15/4.17 ((r1(Y!2, X!3) & (r1(X!3, Y!4) & r1(Y!4, X!5) & r1(X!5, Y!6) & r1(Y!6, X!7) & r1(X!7, Y!8) & r1(Y!8, X!9) & r1(X!9, Y!10) & r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17))))))) <=> (r1(Y!2, X!3) & r1(X!3, Y!4) & r1(Y!4, X!5) & r1(X!5, Y!6) & r1(Y!6, X!7) & r1(X!7, Y!8) & r1(Y!8, X!9) & r1(X!9, Y!10) & r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17))))))),
% 6.15/4.17 inference(rewrite,[status(thm)],[])).
% 6.15/4.17 tff(63,plain,
% 6.15/4.17 ((r1(X!3, Y!4) & (r1(Y!4, X!5) & r1(X!5, Y!6) & r1(Y!6, X!7) & r1(X!7, Y!8) & r1(Y!8, X!9) & r1(X!9, Y!10) & r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17))))))) <=> (r1(X!3, Y!4) & r1(Y!4, X!5) & r1(X!5, Y!6) & r1(Y!6, X!7) & r1(X!7, Y!8) & r1(Y!8, X!9) & r1(X!9, Y!10) & r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17))))))),
% 6.15/4.17 inference(rewrite,[status(thm)],[])).
% 6.15/4.17 tff(64,plain,
% 6.15/4.17 ((r1(Y!4, X!5) & (r1(X!5, Y!6) & r1(Y!6, X!7) & r1(X!7, Y!8) & r1(Y!8, X!9) & r1(X!9, Y!10) & r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17))))))) <=> (r1(Y!4, X!5) & r1(X!5, Y!6) & r1(Y!6, X!7) & r1(X!7, Y!8) & r1(Y!8, X!9) & r1(X!9, Y!10) & r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17))))))),
% 6.15/4.18 inference(rewrite,[status(thm)],[])).
% 6.15/4.18 tff(65,plain,
% 6.15/4.18 ((r1(X!5, Y!6) & (r1(Y!6, X!7) & r1(X!7, Y!8) & r1(Y!8, X!9) & r1(X!9, Y!10) & r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17))))))) <=> (r1(X!5, Y!6) & r1(Y!6, X!7) & r1(X!7, Y!8) & r1(Y!8, X!9) & r1(X!9, Y!10) & r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17))))))),
% 6.15/4.18 inference(rewrite,[status(thm)],[])).
% 6.15/4.18 tff(66,plain,
% 6.15/4.18 ((r1(Y!6, X!7) & (r1(X!7, Y!8) & r1(Y!8, X!9) & r1(X!9, Y!10) & r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17))))))) <=> (r1(Y!6, X!7) & r1(X!7, Y!8) & r1(Y!8, X!9) & r1(X!9, Y!10) & r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17))))))),
% 6.15/4.18 inference(rewrite,[status(thm)],[])).
% 6.15/4.18 tff(67,plain,
% 6.15/4.18 ((r1(X!7, Y!8) & (r1(Y!8, X!9) & r1(X!9, Y!10) & r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17))))))) <=> (r1(X!7, Y!8) & r1(Y!8, X!9) & r1(X!9, Y!10) & r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17))))))),
% 6.15/4.18 inference(rewrite,[status(thm)],[])).
% 6.15/4.18 tff(68,plain,
% 6.15/4.18 ((r1(Y!8, X!9) & (r1(X!9, Y!10) & r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17))))))) <=> (r1(Y!8, X!9) & r1(X!9, Y!10) & r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17))))))),
% 6.15/4.18 inference(rewrite,[status(thm)],[])).
% 6.15/4.18 tff(69,plain,
% 6.15/4.18 ((r1(X!9, Y!10) & (r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17))))))) <=> (r1(X!9, Y!10) & r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17))))))),
% 6.15/4.18 inference(rewrite,[status(thm)],[])).
% 6.15/4.18 tff(70,plain,
% 6.15/4.18 ((r1(Y!10, X!11) & (r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17))))))) <=> (r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17))))))),
% 6.15/4.18 inference(rewrite,[status(thm)],[])).
% 6.15/4.18 tff(71,plain,
% 6.15/4.18 ((r1(X!11, Y!12) & (r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17))))))) <=> (r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17))))))),
% 6.15/4.18 inference(rewrite,[status(thm)],[])).
% 6.15/4.18 tff(72,plain,
% 6.15/4.18 ((r1(Y!12, X!13) & (r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17))))))) <=> (r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17))))))),
% 6.15/4.18 inference(rewrite,[status(thm)],[])).
% 6.15/4.18 tff(73,plain,
% 6.15/4.18 ((r1(X!13, Y!14) & (r1(Y!14, X!15) & r1(X!15, Y!16) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17))))))) <=> (r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17))))))),
% 6.15/4.18 inference(rewrite,[status(thm)],[])).
% 6.15/4.18 tff(74,plain,
% 6.15/4.18 ((r1(Y!14, X!15) & (r1(X!15, Y!16) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17))))))) <=> (r1(Y!14, X!15) & r1(X!15, Y!16) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17))))))),
% 6.15/4.18 inference(rewrite,[status(thm)],[])).
% 6.15/4.18 tff(75,plain,
% 6.15/4.18 (((~(~r1(X!15, Y!16))) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17)))))) <=> (r1(X!15, Y!16) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17))))))),
% 6.15/4.18 inference(rewrite,[status(thm)],[])).
% 6.15/4.18 tff(76,plain,
% 6.15/4.18 ((~(~r1(Y!14, X!15))) <=> r1(Y!14, X!15)),
% 6.15/4.18 inference(rewrite,[status(thm)],[])).
% 6.15/4.18 tff(77,plain,
% 6.15/4.18 (((~(~r1(Y!14, X!15))) & ((~(~r1(X!15, Y!16))) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17))))))) <=> (r1(Y!14, X!15) & (r1(X!15, Y!16) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17)))))))),
% 6.15/4.18 inference(monotonicity,[status(thm)],[76, 75])).
% 6.15/4.18 tff(78,plain,
% 6.15/4.18 (((~(~r1(Y!14, X!15))) & ((~(~r1(X!15, Y!16))) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17))))))) <=> (r1(Y!14, X!15) & r1(X!15, Y!16) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17))))))),
% 6.15/4.18 inference(transitivity,[status(thm)],[77, 74])).
% 6.15/4.18 tff(79,plain,
% 6.15/4.18 ((~(~r1(X!13, Y!14))) <=> r1(X!13, Y!14)),
% 6.15/4.18 inference(rewrite,[status(thm)],[])).
% 6.15/4.18 tff(80,plain,
% 6.15/4.18 (((~(~r1(X!13, Y!14))) & ((~(~r1(Y!14, X!15))) & ((~(~r1(X!15, Y!16))) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17)))))))) <=> (r1(X!13, Y!14) & (r1(Y!14, X!15) & r1(X!15, Y!16) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17)))))))),
% 6.15/4.18 inference(monotonicity,[status(thm)],[79, 78])).
% 6.15/4.18 tff(81,plain,
% 6.15/4.18 (((~(~r1(X!13, Y!14))) & ((~(~r1(Y!14, X!15))) & ((~(~r1(X!15, Y!16))) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17)))))))) <=> (r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17))))))),
% 6.15/4.18 inference(transitivity,[status(thm)],[80, 73])).
% 6.15/4.18 tff(82,plain,
% 6.15/4.18 ((~(~r1(Y!12, X!13))) <=> r1(Y!12, X!13)),
% 6.15/4.18 inference(rewrite,[status(thm)],[])).
% 6.15/4.18 tff(83,plain,
% 6.15/4.18 (((~(~r1(Y!12, X!13))) & ((~(~r1(X!13, Y!14))) & ((~(~r1(Y!14, X!15))) & ((~(~r1(X!15, Y!16))) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17))))))))) <=> (r1(Y!12, X!13) & (r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17)))))))),
% 6.15/4.18 inference(monotonicity,[status(thm)],[82, 81])).
% 6.15/4.18 tff(84,plain,
% 6.15/4.18 (((~(~r1(Y!12, X!13))) & ((~(~r1(X!13, Y!14))) & ((~(~r1(Y!14, X!15))) & ((~(~r1(X!15, Y!16))) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17))))))))) <=> (r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17))))))),
% 6.15/4.18 inference(transitivity,[status(thm)],[83, 72])).
% 6.15/4.18 tff(85,plain,
% 6.15/4.18 ((~(~r1(X!11, Y!12))) <=> r1(X!11, Y!12)),
% 6.15/4.18 inference(rewrite,[status(thm)],[])).
% 6.15/4.18 tff(86,plain,
% 6.15/4.18 (((~(~r1(X!11, Y!12))) & ((~(~r1(Y!12, X!13))) & ((~(~r1(X!13, Y!14))) & ((~(~r1(Y!14, X!15))) & ((~(~r1(X!15, Y!16))) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17)))))))))) <=> (r1(X!11, Y!12) & (r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17)))))))),
% 6.15/4.18 inference(monotonicity,[status(thm)],[85, 84])).
% 6.15/4.18 tff(87,plain,
% 6.15/4.18 (((~(~r1(X!11, Y!12))) & ((~(~r1(Y!12, X!13))) & ((~(~r1(X!13, Y!14))) & ((~(~r1(Y!14, X!15))) & ((~(~r1(X!15, Y!16))) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17)))))))))) <=> (r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17))))))),
% 6.15/4.18 inference(transitivity,[status(thm)],[86, 71])).
% 6.15/4.18 tff(88,plain,
% 6.15/4.18 ((~(~r1(Y!10, X!11))) <=> r1(Y!10, X!11)),
% 6.15/4.18 inference(rewrite,[status(thm)],[])).
% 6.15/4.18 tff(89,plain,
% 6.15/4.18 (((~(~r1(Y!10, X!11))) & ((~(~r1(X!11, Y!12))) & ((~(~r1(Y!12, X!13))) & ((~(~r1(X!13, Y!14))) & ((~(~r1(Y!14, X!15))) & ((~(~r1(X!15, Y!16))) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17))))))))))) <=> (r1(Y!10, X!11) & (r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17)))))))),
% 6.15/4.18 inference(monotonicity,[status(thm)],[88, 87])).
% 6.15/4.18 tff(90,plain,
% 6.15/4.18 (((~(~r1(Y!10, X!11))) & ((~(~r1(X!11, Y!12))) & ((~(~r1(Y!12, X!13))) & ((~(~r1(X!13, Y!14))) & ((~(~r1(Y!14, X!15))) & ((~(~r1(X!15, Y!16))) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17))))))))))) <=> (r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17))))))),
% 6.15/4.18 inference(transitivity,[status(thm)],[89, 70])).
% 6.15/4.18 tff(91,plain,
% 6.15/4.18 ((~(~r1(X!9, Y!10))) <=> r1(X!9, Y!10)),
% 6.15/4.18 inference(rewrite,[status(thm)],[])).
% 6.15/4.18 tff(92,plain,
% 6.15/4.18 (((~(~r1(X!9, Y!10))) & ((~(~r1(Y!10, X!11))) & ((~(~r1(X!11, Y!12))) & ((~(~r1(Y!12, X!13))) & ((~(~r1(X!13, Y!14))) & ((~(~r1(Y!14, X!15))) & ((~(~r1(X!15, Y!16))) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17)))))))))))) <=> (r1(X!9, Y!10) & (r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17)))))))),
% 6.15/4.18 inference(monotonicity,[status(thm)],[91, 90])).
% 6.15/4.18 tff(93,plain,
% 6.15/4.18 (((~(~r1(X!9, Y!10))) & ((~(~r1(Y!10, X!11))) & ((~(~r1(X!11, Y!12))) & ((~(~r1(Y!12, X!13))) & ((~(~r1(X!13, Y!14))) & ((~(~r1(Y!14, X!15))) & ((~(~r1(X!15, Y!16))) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17)))))))))))) <=> (r1(X!9, Y!10) & r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17))))))),
% 6.15/4.18 inference(transitivity,[status(thm)],[92, 69])).
% 6.15/4.18 tff(94,plain,
% 6.15/4.18 ((~(~r1(Y!8, X!9))) <=> r1(Y!8, X!9)),
% 6.15/4.18 inference(rewrite,[status(thm)],[])).
% 6.15/4.18 tff(95,plain,
% 6.15/4.18 (((~(~r1(Y!8, X!9))) & ((~(~r1(X!9, Y!10))) & ((~(~r1(Y!10, X!11))) & ((~(~r1(X!11, Y!12))) & ((~(~r1(Y!12, X!13))) & ((~(~r1(X!13, Y!14))) & ((~(~r1(Y!14, X!15))) & ((~(~r1(X!15, Y!16))) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17))))))))))))) <=> (r1(Y!8, X!9) & (r1(X!9, Y!10) & r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17)))))))),
% 6.15/4.18 inference(monotonicity,[status(thm)],[94, 93])).
% 6.15/4.18 tff(96,plain,
% 6.15/4.18 (((~(~r1(Y!8, X!9))) & ((~(~r1(X!9, Y!10))) & ((~(~r1(Y!10, X!11))) & ((~(~r1(X!11, Y!12))) & ((~(~r1(Y!12, X!13))) & ((~(~r1(X!13, Y!14))) & ((~(~r1(Y!14, X!15))) & ((~(~r1(X!15, Y!16))) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17))))))))))))) <=> (r1(Y!8, X!9) & r1(X!9, Y!10) & r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17))))))),
% 6.15/4.19 inference(transitivity,[status(thm)],[95, 68])).
% 6.15/4.19 tff(97,plain,
% 6.15/4.19 ((~(~r1(X!7, Y!8))) <=> r1(X!7, Y!8)),
% 6.15/4.19 inference(rewrite,[status(thm)],[])).
% 6.15/4.19 tff(98,plain,
% 6.15/4.19 (((~(~r1(X!7, Y!8))) & ((~(~r1(Y!8, X!9))) & ((~(~r1(X!9, Y!10))) & ((~(~r1(Y!10, X!11))) & ((~(~r1(X!11, Y!12))) & ((~(~r1(Y!12, X!13))) & ((~(~r1(X!13, Y!14))) & ((~(~r1(Y!14, X!15))) & ((~(~r1(X!15, Y!16))) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17)))))))))))))) <=> (r1(X!7, Y!8) & (r1(Y!8, X!9) & r1(X!9, Y!10) & r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17)))))))),
% 6.15/4.19 inference(monotonicity,[status(thm)],[97, 96])).
% 6.15/4.19 tff(99,plain,
% 6.15/4.19 (((~(~r1(X!7, Y!8))) & ((~(~r1(Y!8, X!9))) & ((~(~r1(X!9, Y!10))) & ((~(~r1(Y!10, X!11))) & ((~(~r1(X!11, Y!12))) & ((~(~r1(Y!12, X!13))) & ((~(~r1(X!13, Y!14))) & ((~(~r1(Y!14, X!15))) & ((~(~r1(X!15, Y!16))) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17)))))))))))))) <=> (r1(X!7, Y!8) & r1(Y!8, X!9) & r1(X!9, Y!10) & r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17))))))),
% 6.15/4.19 inference(transitivity,[status(thm)],[98, 67])).
% 6.15/4.19 tff(100,plain,
% 6.15/4.19 ((~(~r1(Y!6, X!7))) <=> r1(Y!6, X!7)),
% 6.15/4.19 inference(rewrite,[status(thm)],[])).
% 6.15/4.19 tff(101,plain,
% 6.15/4.19 (((~(~r1(Y!6, X!7))) & ((~(~r1(X!7, Y!8))) & ((~(~r1(Y!8, X!9))) & ((~(~r1(X!9, Y!10))) & ((~(~r1(Y!10, X!11))) & ((~(~r1(X!11, Y!12))) & ((~(~r1(Y!12, X!13))) & ((~(~r1(X!13, Y!14))) & ((~(~r1(Y!14, X!15))) & ((~(~r1(X!15, Y!16))) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17))))))))))))))) <=> (r1(Y!6, X!7) & (r1(X!7, Y!8) & r1(Y!8, X!9) & r1(X!9, Y!10) & r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17)))))))),
% 6.15/4.19 inference(monotonicity,[status(thm)],[100, 99])).
% 6.15/4.19 tff(102,plain,
% 6.15/4.19 (((~(~r1(Y!6, X!7))) & ((~(~r1(X!7, Y!8))) & ((~(~r1(Y!8, X!9))) & ((~(~r1(X!9, Y!10))) & ((~(~r1(Y!10, X!11))) & ((~(~r1(X!11, Y!12))) & ((~(~r1(Y!12, X!13))) & ((~(~r1(X!13, Y!14))) & ((~(~r1(Y!14, X!15))) & ((~(~r1(X!15, Y!16))) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17))))))))))))))) <=> (r1(Y!6, X!7) & r1(X!7, Y!8) & r1(Y!8, X!9) & r1(X!9, Y!10) & r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17))))))),
% 6.15/4.19 inference(transitivity,[status(thm)],[101, 66])).
% 6.15/4.19 tff(103,plain,
% 6.15/4.19 ((~(~r1(X!5, Y!6))) <=> r1(X!5, Y!6)),
% 6.15/4.19 inference(rewrite,[status(thm)],[])).
% 6.15/4.19 tff(104,plain,
% 6.15/4.19 (((~(~r1(X!5, Y!6))) & ((~(~r1(Y!6, X!7))) & ((~(~r1(X!7, Y!8))) & ((~(~r1(Y!8, X!9))) & ((~(~r1(X!9, Y!10))) & ((~(~r1(Y!10, X!11))) & ((~(~r1(X!11, Y!12))) & ((~(~r1(Y!12, X!13))) & ((~(~r1(X!13, Y!14))) & ((~(~r1(Y!14, X!15))) & ((~(~r1(X!15, Y!16))) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17)))))))))))))))) <=> (r1(X!5, Y!6) & (r1(Y!6, X!7) & r1(X!7, Y!8) & r1(Y!8, X!9) & r1(X!9, Y!10) & r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17)))))))),
% 6.15/4.19 inference(monotonicity,[status(thm)],[103, 102])).
% 6.15/4.19 tff(105,plain,
% 6.15/4.19 (((~(~r1(X!5, Y!6))) & ((~(~r1(Y!6, X!7))) & ((~(~r1(X!7, Y!8))) & ((~(~r1(Y!8, X!9))) & ((~(~r1(X!9, Y!10))) & ((~(~r1(Y!10, X!11))) & ((~(~r1(X!11, Y!12))) & ((~(~r1(Y!12, X!13))) & ((~(~r1(X!13, Y!14))) & ((~(~r1(Y!14, X!15))) & ((~(~r1(X!15, Y!16))) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17)))))))))))))))) <=> (r1(X!5, Y!6) & r1(Y!6, X!7) & r1(X!7, Y!8) & r1(Y!8, X!9) & r1(X!9, Y!10) & r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17))))))),
% 6.15/4.19 inference(transitivity,[status(thm)],[104, 65])).
% 6.15/4.19 tff(106,plain,
% 6.15/4.19 ((~(~r1(Y!4, X!5))) <=> r1(Y!4, X!5)),
% 6.15/4.19 inference(rewrite,[status(thm)],[])).
% 6.15/4.19 tff(107,plain,
% 6.15/4.19 (((~(~r1(Y!4, X!5))) & ((~(~r1(X!5, Y!6))) & ((~(~r1(Y!6, X!7))) & ((~(~r1(X!7, Y!8))) & ((~(~r1(Y!8, X!9))) & ((~(~r1(X!9, Y!10))) & ((~(~r1(Y!10, X!11))) & ((~(~r1(X!11, Y!12))) & ((~(~r1(Y!12, X!13))) & ((~(~r1(X!13, Y!14))) & ((~(~r1(Y!14, X!15))) & ((~(~r1(X!15, Y!16))) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17))))))))))))))))) <=> (r1(Y!4, X!5) & (r1(X!5, Y!6) & r1(Y!6, X!7) & r1(X!7, Y!8) & r1(Y!8, X!9) & r1(X!9, Y!10) & r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17)))))))),
% 6.15/4.19 inference(monotonicity,[status(thm)],[106, 105])).
% 6.15/4.19 tff(108,plain,
% 6.15/4.19 (((~(~r1(Y!4, X!5))) & ((~(~r1(X!5, Y!6))) & ((~(~r1(Y!6, X!7))) & ((~(~r1(X!7, Y!8))) & ((~(~r1(Y!8, X!9))) & ((~(~r1(X!9, Y!10))) & ((~(~r1(Y!10, X!11))) & ((~(~r1(X!11, Y!12))) & ((~(~r1(Y!12, X!13))) & ((~(~r1(X!13, Y!14))) & ((~(~r1(Y!14, X!15))) & ((~(~r1(X!15, Y!16))) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17))))))))))))))))) <=> (r1(Y!4, X!5) & r1(X!5, Y!6) & r1(Y!6, X!7) & r1(X!7, Y!8) & r1(Y!8, X!9) & r1(X!9, Y!10) & r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17))))))),
% 6.15/4.19 inference(transitivity,[status(thm)],[107, 64])).
% 6.15/4.19 tff(109,plain,
% 6.15/4.19 ((~(~r1(X!3, Y!4))) <=> r1(X!3, Y!4)),
% 6.15/4.19 inference(rewrite,[status(thm)],[])).
% 6.15/4.19 tff(110,plain,
% 6.15/4.19 (((~(~r1(X!3, Y!4))) & ((~(~r1(Y!4, X!5))) & ((~(~r1(X!5, Y!6))) & ((~(~r1(Y!6, X!7))) & ((~(~r1(X!7, Y!8))) & ((~(~r1(Y!8, X!9))) & ((~(~r1(X!9, Y!10))) & ((~(~r1(Y!10, X!11))) & ((~(~r1(X!11, Y!12))) & ((~(~r1(Y!12, X!13))) & ((~(~r1(X!13, Y!14))) & ((~(~r1(Y!14, X!15))) & ((~(~r1(X!15, Y!16))) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17)))))))))))))))))) <=> (r1(X!3, Y!4) & (r1(Y!4, X!5) & r1(X!5, Y!6) & r1(Y!6, X!7) & r1(X!7, Y!8) & r1(Y!8, X!9) & r1(X!9, Y!10) & r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17)))))))),
% 6.15/4.19 inference(monotonicity,[status(thm)],[109, 108])).
% 6.15/4.19 tff(111,plain,
% 6.15/4.19 (((~(~r1(X!3, Y!4))) & ((~(~r1(Y!4, X!5))) & ((~(~r1(X!5, Y!6))) & ((~(~r1(Y!6, X!7))) & ((~(~r1(X!7, Y!8))) & ((~(~r1(Y!8, X!9))) & ((~(~r1(X!9, Y!10))) & ((~(~r1(Y!10, X!11))) & ((~(~r1(X!11, Y!12))) & ((~(~r1(Y!12, X!13))) & ((~(~r1(X!13, Y!14))) & ((~(~r1(Y!14, X!15))) & ((~(~r1(X!15, Y!16))) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17)))))))))))))))))) <=> (r1(X!3, Y!4) & r1(Y!4, X!5) & r1(X!5, Y!6) & r1(Y!6, X!7) & r1(X!7, Y!8) & r1(Y!8, X!9) & r1(X!9, Y!10) & r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17))))))),
% 6.15/4.19 inference(transitivity,[status(thm)],[110, 63])).
% 6.15/4.19 tff(112,plain,
% 6.15/4.19 ((~(~r1(Y!2, X!3))) <=> r1(Y!2, X!3)),
% 6.15/4.19 inference(rewrite,[status(thm)],[])).
% 6.15/4.19 tff(113,plain,
% 6.15/4.19 (((~(~r1(Y!2, X!3))) & ((~(~r1(X!3, Y!4))) & ((~(~r1(Y!4, X!5))) & ((~(~r1(X!5, Y!6))) & ((~(~r1(Y!6, X!7))) & ((~(~r1(X!7, Y!8))) & ((~(~r1(Y!8, X!9))) & ((~(~r1(X!9, Y!10))) & ((~(~r1(Y!10, X!11))) & ((~(~r1(X!11, Y!12))) & ((~(~r1(Y!12, X!13))) & ((~(~r1(X!13, Y!14))) & ((~(~r1(Y!14, X!15))) & ((~(~r1(X!15, Y!16))) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17))))))))))))))))))) <=> (r1(Y!2, X!3) & (r1(X!3, Y!4) & r1(Y!4, X!5) & r1(X!5, Y!6) & r1(Y!6, X!7) & r1(X!7, Y!8) & r1(Y!8, X!9) & r1(X!9, Y!10) & r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17)))))))),
% 6.15/4.20 inference(monotonicity,[status(thm)],[112, 111])).
% 6.15/4.20 tff(114,plain,
% 6.15/4.20 (((~(~r1(Y!2, X!3))) & ((~(~r1(X!3, Y!4))) & ((~(~r1(Y!4, X!5))) & ((~(~r1(X!5, Y!6))) & ((~(~r1(Y!6, X!7))) & ((~(~r1(X!7, Y!8))) & ((~(~r1(Y!8, X!9))) & ((~(~r1(X!9, Y!10))) & ((~(~r1(Y!10, X!11))) & ((~(~r1(X!11, Y!12))) & ((~(~r1(Y!12, X!13))) & ((~(~r1(X!13, Y!14))) & ((~(~r1(Y!14, X!15))) & ((~(~r1(X!15, Y!16))) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17))))))))))))))))))) <=> (r1(Y!2, X!3) & r1(X!3, Y!4) & r1(Y!4, X!5) & r1(X!5, Y!6) & r1(Y!6, X!7) & r1(X!7, Y!8) & r1(Y!8, X!9) & r1(X!9, Y!10) & r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17))))))),
% 6.15/4.20 inference(transitivity,[status(thm)],[113, 62])).
% 6.15/4.20 tff(115,plain,
% 6.15/4.20 ((~(~r1(X!0, Y!2))) <=> r1(X!0, Y!2)),
% 6.15/4.20 inference(rewrite,[status(thm)],[])).
% 6.15/4.20 tff(116,plain,
% 6.15/4.20 (((~(~r1(X!0, Y!2))) & ((~(~r1(Y!2, X!3))) & ((~(~r1(X!3, Y!4))) & ((~(~r1(Y!4, X!5))) & ((~(~r1(X!5, Y!6))) & ((~(~r1(Y!6, X!7))) & ((~(~r1(X!7, Y!8))) & ((~(~r1(Y!8, X!9))) & ((~(~r1(X!9, Y!10))) & ((~(~r1(Y!10, X!11))) & ((~(~r1(X!11, Y!12))) & ((~(~r1(Y!12, X!13))) & ((~(~r1(X!13, Y!14))) & ((~(~r1(Y!14, X!15))) & ((~(~r1(X!15, Y!16))) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17)))))))))))))))))))) <=> (r1(X!0, Y!2) & (r1(Y!2, X!3) & r1(X!3, Y!4) & r1(Y!4, X!5) & r1(X!5, Y!6) & r1(Y!6, X!7) & r1(X!7, Y!8) & r1(Y!8, X!9) & r1(X!9, Y!10) & r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17)))))))),
% 6.15/4.20 inference(monotonicity,[status(thm)],[115, 114])).
% 6.15/4.20 tff(117,plain,
% 6.15/4.20 (((~(~r1(X!0, Y!2))) & ((~(~r1(Y!2, X!3))) & ((~(~r1(X!3, Y!4))) & ((~(~r1(Y!4, X!5))) & ((~(~r1(X!5, Y!6))) & ((~(~r1(Y!6, X!7))) & ((~(~r1(X!7, Y!8))) & ((~(~r1(Y!8, X!9))) & ((~(~r1(X!9, Y!10))) & ((~(~r1(Y!10, X!11))) & ((~(~r1(X!11, Y!12))) & ((~(~r1(Y!12, X!13))) & ((~(~r1(X!13, Y!14))) & ((~(~r1(Y!14, X!15))) & ((~(~r1(X!15, Y!16))) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17)))))))))))))))))))) <=> (r1(X!0, Y!2) & r1(Y!2, X!3) & r1(X!3, Y!4) & r1(Y!4, X!5) & r1(X!5, Y!6) & r1(Y!6, X!7) & r1(X!7, Y!8) & r1(Y!8, X!9) & r1(X!9, Y!10) & r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17))))))),
% 6.15/4.20 inference(transitivity,[status(thm)],[116, 61])).
% 6.15/4.20 tff(118,plain,
% 6.15/4.20 ((~((~r1(X!0, Y!1)) | p17(Y!1))) <=> (~((~r1(X!0, Y!1)) | p17(Y!1)))),
% 6.15/4.20 inference(rewrite,[status(thm)],[])).
% 6.15/4.20 tff(119,plain,
% 6.15/4.20 (((~((~r1(X!0, Y!1)) | p17(Y!1))) & ((~(~r1(X!0, Y!2))) & ((~(~r1(Y!2, X!3))) & ((~(~r1(X!3, Y!4))) & ((~(~r1(Y!4, X!5))) & ((~(~r1(X!5, Y!6))) & ((~(~r1(Y!6, X!7))) & ((~(~r1(X!7, Y!8))) & ((~(~r1(Y!8, X!9))) & ((~(~r1(X!9, Y!10))) & ((~(~r1(Y!10, X!11))) & ((~(~r1(X!11, Y!12))) & ((~(~r1(Y!12, X!13))) & ((~(~r1(X!13, Y!14))) & ((~(~r1(Y!14, X!15))) & ((~(~r1(X!15, Y!16))) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17)))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((~((~r1(Y, tptp_fun_X_18(Y))) | p16(tptp_fun_X_18(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p1(X) & p15(X)) | ((~p15(X)) & (~p1(X)))))))))))))))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_19(X))) | p15(tptp_fun_Y_19(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p15(X) & p14(X)) | ((~p14(X)) & (~p15(X))))))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p14(X) & p13(X)) | ((~p13(X)) & (~p14(X)))))))))))))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p13(X) & p12(X)) | ((~p12(X)) & (~p13(X))))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p12(X) & p11(X)) | ((~p11(X)) & (~p12(X)))))))))))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p11(X) & p10(X)) | ((~p10(X)) & (~p11(X))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p10(X) & p9(X)) | ((~p9(X)) & (~p10(X)))))))))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p9(X) & p8(X)) | ((~p8(X)) & (~p9(X))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p8(X) & p7(X)) | ((~p7(X)) & (~p8(X)))))))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p7(X) & p6(X)) | ((~p6(X)) & (~p7(X))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p6(X) & p5(X)) | ((~p5(X)) & (~p6(X)))))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p5(X) & p4(X)) | ((~p4(X)) & (~p5(X))))))))) & ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p4(X) & p3(X)) | ((~p3(X)) & (~p4(X)))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p3(X) & p2(X)) | ((~p2(X)) & (~p3(X))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p2(X) & p1(X)) | ((~p1(X)) & (~p2(X))))))))))))))))))))))))))))))))))) & ((~(~r1(X!0, Y!32))) & ((~(~r1(Y!32, X!33))) & ((~(~r1(X!33, Y!34))) & ((~(~r1(Y!34, X!35))) & ((~(~r1(X!35, Y!36))) & ((~(~r1(Y!36, X!37))) & ((~(~r1(X!37, Y!38))) & ((~(~r1(Y!38, X!39))) & ((~(~r1(X!39, Y!40))) & ((~(~r1(Y!40, X!41))) & ((~(~r1(X!41, Y!42))) & ((~(~r1(Y!42, X!43))) & ((~(~r1(X!43, Y!44))) & ((~(~r1(Y!44, X!45))) & ((~(~r1(X!45, Y!46))) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))))))))))))))))))) <=> ((~((~r1(X!0, Y!1)) | p17(Y!1))) & (r1(X!0, Y!2) & r1(Y!2, X!3) & r1(X!3, Y!4) & r1(Y!4, X!5) & r1(X!5, Y!6) & r1(Y!6, X!7) & r1(X!7, Y!8) & r1(Y!8, X!9) & r1(X!9, Y!10) & r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17)))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((~((~r1(Y, tptp_fun_X_18(Y))) | p16(tptp_fun_X_18(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p1(X) & p15(X)) | ((~p15(X)) & (~p1(X)))))))))))))))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_19(X))) | p15(tptp_fun_Y_19(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p15(X) & p14(X)) | ((~p14(X)) & (~p15(X))))))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p14(X) & p13(X)) | ((~p13(X)) & (~p14(X)))))))))))))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p13(X) & p12(X)) | ((~p12(X)) & (~p13(X))))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p12(X) & p11(X)) | ((~p11(X)) & (~p12(X)))))))))))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p11(X) & p10(X)) | ((~p10(X)) & (~p11(X))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p10(X) & p9(X)) | ((~p9(X)) & (~p10(X)))))))))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p9(X) & p8(X)) | ((~p8(X)) & (~p9(X))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p8(X) & p7(X)) | ((~p7(X)) & (~p8(X)))))))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p7(X) & p6(X)) | ((~p6(X)) & (~p7(X))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p6(X) & p5(X)) | ((~p5(X)) & (~p6(X)))))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p5(X) & p4(X)) | ((~p4(X)) & (~p5(X))))))))) & ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p4(X) & p3(X)) | ((~p3(X)) & (~p4(X)))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p3(X) & p2(X)) | ((~p2(X)) & (~p3(X))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p2(X) & p1(X)) | ((~p1(X)) & (~p2(X))))))))))))))))))))))))))))))))))) & (r1(X!0, Y!32) & r1(Y!32, X!33) & r1(X!33, Y!34) & r1(Y!34, X!35) & r1(X!35, Y!36) & r1(Y!36, X!37) & r1(X!37, Y!38) & r1(Y!38, X!39) & r1(X!39, Y!40) & r1(Y!40, X!41) & r1(X!41, Y!42) & r1(Y!42, X!43) & r1(X!43, Y!44) & r1(Y!44, X!45) & r1(X!45, Y!46) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47))))))),
% 6.15/4.20 inference(monotonicity,[status(thm)],[118, 117, 60])).
% 6.15/4.20 tff(120,plain,
% 6.15/4.20 (((~((~r1(X!0, Y!1)) | p17(Y!1))) & ((~(~r1(X!0, Y!2))) & ((~(~r1(Y!2, X!3))) & ((~(~r1(X!3, Y!4))) & ((~(~r1(Y!4, X!5))) & ((~(~r1(X!5, Y!6))) & ((~(~r1(Y!6, X!7))) & ((~(~r1(X!7, Y!8))) & ((~(~r1(Y!8, X!9))) & ((~(~r1(X!9, Y!10))) & ((~(~r1(Y!10, X!11))) & ((~(~r1(X!11, Y!12))) & ((~(~r1(Y!12, X!13))) & ((~(~r1(X!13, Y!14))) & ((~(~r1(Y!14, X!15))) & ((~(~r1(X!15, Y!16))) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17)))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((~((~r1(Y, tptp_fun_X_18(Y))) | p16(tptp_fun_X_18(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p1(X) & p15(X)) | ((~p15(X)) & (~p1(X)))))))))))))))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_19(X))) | p15(tptp_fun_Y_19(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p15(X) & p14(X)) | ((~p14(X)) & (~p15(X))))))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p14(X) & p13(X)) | ((~p13(X)) & (~p14(X)))))))))))))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p13(X) & p12(X)) | ((~p12(X)) & (~p13(X))))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p12(X) & p11(X)) | ((~p11(X)) & (~p12(X)))))))))))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p11(X) & p10(X)) | ((~p10(X)) & (~p11(X))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p10(X) & p9(X)) | ((~p9(X)) & (~p10(X)))))))))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p9(X) & p8(X)) | ((~p8(X)) & (~p9(X))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p8(X) & p7(X)) | ((~p7(X)) & (~p8(X)))))))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p7(X) & p6(X)) | ((~p6(X)) & (~p7(X))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p6(X) & p5(X)) | ((~p5(X)) & (~p6(X)))))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p5(X) & p4(X)) | ((~p4(X)) & (~p5(X))))))))) & ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p4(X) & p3(X)) | ((~p3(X)) & (~p4(X)))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p3(X) & p2(X)) | ((~p2(X)) & (~p3(X))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p2(X) & p1(X)) | ((~p1(X)) & (~p2(X))))))))))))))))))))))))))))))))))) & ((~(~r1(X!0, Y!32))) & ((~(~r1(Y!32, X!33))) & ((~(~r1(X!33, Y!34))) & ((~(~r1(Y!34, X!35))) & ((~(~r1(X!35, Y!36))) & ((~(~r1(Y!36, X!37))) & ((~(~r1(X!37, Y!38))) & ((~(~r1(Y!38, X!39))) & ((~(~r1(X!39, Y!40))) & ((~(~r1(Y!40, X!41))) & ((~(~r1(X!41, Y!42))) & ((~(~r1(Y!42, X!43))) & ((~(~r1(X!43, Y!44))) & ((~(~r1(Y!44, X!45))) & ((~(~r1(X!45, Y!46))) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))))))))))))))))))) <=> ((~((~r1(X!0, Y!1)) | p17(Y!1))) & r1(X!0, Y!2) & r1(Y!2, X!3) & r1(X!3, Y!4) & r1(Y!4, X!5) & r1(X!5, Y!6) & r1(Y!6, X!7) & r1(X!7, Y!8) & r1(Y!8, X!9) & r1(X!9, Y!10) & r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((~((~r1(Y, tptp_fun_X_18(Y))) | p16(tptp_fun_X_18(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p1(X) & p15(X)) | ((~p15(X)) & (~p1(X)))))))))))))))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_19(X))) | p15(tptp_fun_Y_19(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p15(X) & p14(X)) | ((~p14(X)) & (~p15(X))))))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p14(X) & p13(X)) | ((~p13(X)) & (~p14(X)))))))))))))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p13(X) & p12(X)) | ((~p12(X)) & (~p13(X))))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p12(X) & p11(X)) | ((~p11(X)) & (~p12(X)))))))))))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p11(X) & p10(X)) | ((~p10(X)) & (~p11(X))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p10(X) & p9(X)) | ((~p9(X)) & (~p10(X)))))))))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p9(X) & p8(X)) | ((~p8(X)) & (~p9(X))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p8(X) & p7(X)) | ((~p7(X)) & (~p8(X)))))))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p7(X) & p6(X)) | ((~p6(X)) & (~p7(X))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p6(X) & p5(X)) | ((~p5(X)) & (~p6(X)))))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p5(X) & p4(X)) | ((~p4(X)) & (~p5(X))))))))) & ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p4(X) & p3(X)) | ((~p3(X)) & (~p4(X)))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p3(X) & p2(X)) | ((~p2(X)) & (~p3(X))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p2(X) & p1(X)) | ((~p1(X)) & (~p2(X))))))))))))))))))))))))))))))))))) & r1(X!0, Y!32) & r1(Y!32, X!33) & r1(X!33, Y!34) & r1(Y!34, X!35) & r1(X!35, Y!36) & r1(Y!36, X!37) & r1(X!37, Y!38) & r1(Y!38, X!39) & r1(X!39, Y!40) & r1(Y!40, X!41) & r1(X!41, Y!42) & r1(Y!42, X!43) & r1(X!43, Y!44) & r1(Y!44, X!45) & r1(X!45, Y!46) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))))),
% 6.15/4.21 inference(transitivity,[status(thm)],[119, 3])).
% 6.15/4.21 tff(121,plain,
% 6.15/4.21 (?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p17(Y)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((~p32(X)) & (~p30(X)) & (~p28(X)) & (~p26(X)) & (~p24(X)) & (~p22(X)) & (~p20(X)) & (~p18(X)) & (~p16(X)) & (~p14(X)) & (~p12(X)) & (~p10(X)) & (~p8(X)) & (~p6(X)) & (~p4(X)) & (~p2(X))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p16(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p1(X) & p15(X)) | ((~p15(X)) & (~p1(X))))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p15(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p15(X) & p14(X)) | ((~p14(X)) & (~p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p14(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p14(X) & p13(X)) | ((~p13(X)) & (~p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p13(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p13(X) & p12(X)) | ((~p12(X)) & (~p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p12(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p12(X) & p11(X)) | ((~p11(X)) & (~p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p11(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p11(X) & p10(X)) | ((~p10(X)) & (~p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p10(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p10(X) & p9(X)) | ((~p9(X)) & (~p10(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p9(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p9(X) & p8(X)) | ((~p8(X)) & (~p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p8(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p8(X) & p7(X)) | ((~p7(X)) & (~p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p7(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p7(X) & p6(X)) | ((~p6(X)) & (~p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p6(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p6(X) & p5(X)) | ((~p5(X)) & (~p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p5(X) & p4(X)) | ((~p4(X)) & (~p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p4(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p4(X) & p3(X)) | ((~p3(X)) & (~p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p3(X) & p2(X)) | ((~p2(X)) & (~p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p2(X) & p1(X)) | ((~p1(X)) & (~p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (p16(X) & p15(X) & p14(X) & p13(X) & p12(X) & p11(X) & p10(X) & p9(X) & p8(X) & p7(X) & p6(X) & p5(X) & p4(X) & p3(X) & p2(X) & p1(X)))))))))))))))))))) <=> ?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p17(Y)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((~p32(X)) & (~p30(X)) & (~p28(X)) & (~p26(X)) & (~p24(X)) & (~p22(X)) & (~p20(X)) & (~p18(X)) & (~p16(X)) & (~p14(X)) & (~p12(X)) & (~p10(X)) & (~p8(X)) & (~p6(X)) & (~p4(X)) & (~p2(X))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p16(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p1(X) & p15(X)) | ((~p15(X)) & (~p1(X))))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p15(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p15(X) & p14(X)) | ((~p14(X)) & (~p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p14(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p14(X) & p13(X)) | ((~p13(X)) & (~p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p13(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p13(X) & p12(X)) | ((~p12(X)) & (~p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p12(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p12(X) & p11(X)) | ((~p11(X)) & (~p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p11(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p11(X) & p10(X)) | ((~p10(X)) & (~p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p10(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p10(X) & p9(X)) | ((~p9(X)) & (~p10(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p9(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p9(X) & p8(X)) | ((~p8(X)) & (~p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p8(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p8(X) & p7(X)) | ((~p7(X)) & (~p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p7(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p7(X) & p6(X)) | ((~p6(X)) & (~p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p6(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p6(X) & p5(X)) | ((~p5(X)) & (~p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p5(X) & p4(X)) | ((~p4(X)) & (~p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p4(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p4(X) & p3(X)) | ((~p3(X)) & (~p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p3(X) & p2(X)) | ((~p2(X)) & (~p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p2(X) & p1(X)) | ((~p1(X)) & (~p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (p16(X) & p15(X) & p14(X) & p13(X) & p12(X) & p11(X) & p10(X) & p9(X) & p8(X) & p7(X) & p6(X) & p5(X) & p4(X) & p3(X) & p2(X) & p1(X))))))))))))))))))))),
% 6.15/4.21 inference(rewrite,[status(thm)],[])).
% 6.15/4.21 tff(122,plain,
% 6.15/4.21 ((~(~?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p17(Y)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((~p32(X)) & (~p30(X)) & (~p28(X)) & (~p26(X)) & (~p24(X)) & (~p22(X)) & (~p20(X)) & (~p18(X)) & (~p16(X)) & (~p14(X)) & (~p12(X)) & (~p10(X)) & (~p8(X)) & (~p6(X)) & (~p4(X)) & (~p2(X))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p16(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p1(X) & p15(X)) | ((~p15(X)) & (~p1(X))))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p15(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p15(X) & p14(X)) | ((~p14(X)) & (~p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p14(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p14(X) & p13(X)) | ((~p13(X)) & (~p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p13(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p13(X) & p12(X)) | ((~p12(X)) & (~p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p12(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p12(X) & p11(X)) | ((~p11(X)) & (~p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p11(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p11(X) & p10(X)) | ((~p10(X)) & (~p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p10(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p10(X) & p9(X)) | ((~p9(X)) & (~p10(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p9(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p9(X) & p8(X)) | ((~p8(X)) & (~p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p8(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p8(X) & p7(X)) | ((~p7(X)) & (~p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p7(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p7(X) & p6(X)) | ((~p6(X)) & (~p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p6(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p6(X) & p5(X)) | ((~p5(X)) & (~p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p5(X) & p4(X)) | ((~p4(X)) & (~p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p4(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p4(X) & p3(X)) | ((~p3(X)) & (~p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p3(X) & p2(X)) | ((~p2(X)) & (~p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p2(X) & p1(X)) | ((~p1(X)) & (~p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (p16(X) & p15(X) & p14(X) & p13(X) & p12(X) & p11(X) & p10(X) & p9(X) & p8(X) & p7(X) & p6(X) & p5(X) & p4(X) & p3(X) & p2(X) & p1(X)))))))))))))))))))))) <=> ?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p17(Y)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((~p32(X)) & (~p30(X)) & (~p28(X)) & (~p26(X)) & (~p24(X)) & (~p22(X)) & (~p20(X)) & (~p18(X)) & (~p16(X)) & (~p14(X)) & (~p12(X)) & (~p10(X)) & (~p8(X)) & (~p6(X)) & (~p4(X)) & (~p2(X))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p16(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p1(X) & p15(X)) | ((~p15(X)) & (~p1(X))))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p15(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p15(X) & p14(X)) | ((~p14(X)) & (~p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p14(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p14(X) & p13(X)) | ((~p13(X)) & (~p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p13(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p13(X) & p12(X)) | ((~p12(X)) & (~p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p12(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p12(X) & p11(X)) | ((~p11(X)) & (~p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p11(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p11(X) & p10(X)) | ((~p10(X)) & (~p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p10(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p10(X) & p9(X)) | ((~p9(X)) & (~p10(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p9(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p9(X) & p8(X)) | ((~p8(X)) & (~p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p8(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p8(X) & p7(X)) | ((~p7(X)) & (~p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p7(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p7(X) & p6(X)) | ((~p6(X)) & (~p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p6(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p6(X) & p5(X)) | ((~p5(X)) & (~p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p5(X) & p4(X)) | ((~p4(X)) & (~p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p4(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p4(X) & p3(X)) | ((~p3(X)) & (~p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p3(X) & p2(X)) | ((~p2(X)) & (~p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p2(X) & p1(X)) | ((~p1(X)) & (~p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (p16(X) & p15(X) & p14(X) & p13(X) & p12(X) & p11(X) & p10(X) & p9(X) & p8(X) & p7(X) & p6(X) & p5(X) & p4(X) & p3(X) & p2(X) & p1(X))))))))))))))))))))),
% 6.15/4.22 inference(rewrite,[status(thm)],[])).
% 6.15/4.22 tff(123,plain,
% 6.15/4.22 ((~?[X: $i] : (~(((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((((((((((((((((~p32(X)) & (~p30(X))) & (~p28(X))) & (~p26(X))) & (~p24(X))) & (~p22(X))) & (~p20(X))) & (~p18(X))) & (~p16(X))) & (~p14(X))) & (~p12(X))) & (~p10(X))) & (~p8(X))) & (~p6(X))) & (~p4(X))) & (~p2(X))))))))))))))))))) | ![Y: $i] : ((~r1(X, Y)) | p17(Y))) | (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(((~p15(X)) & (~p1(X))) | (p1(X) & p15(X)))))))))))))))))))) | ![X: $i] : ((~r1(Y, X)) | p16(X))) | (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(((~p14(X)) & (~p15(X))) | (p15(X) & p14(X))))))))))))))))))) | ![Y: $i] : ((~r1(X, Y)) | p15(Y))) | (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(((~p13(X)) & (~p14(X))) | (p14(X) & p13(X)))))))))))))))))) | ![X: $i] : ((~r1(Y, X)) | p14(X))) | (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(((~p12(X)) & (~p13(X))) | (p13(X) & p12(X))))))))))))))))) | ![Y: $i] : ((~r1(X, Y)) | p13(Y))) | (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(((~p11(X)) & (~p12(X))) | (p12(X) & p11(X)))))))))))))))) | ![X: $i] : ((~r1(Y, X)) | p12(X))) | (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(((~p10(X)) & (~p11(X))) | (p11(X) & p10(X))))))))))))))) | ![Y: $i] : ((~r1(X, Y)) | p11(Y))) | (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(((~p9(X)) & (~p10(X))) | (p10(X) & p9(X)))))))))))))) | ![X: $i] : ((~r1(Y, X)) | p10(X))) | (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(((~p8(X)) & (~p9(X))) | (p9(X) & p8(X))))))))))))) | ![Y: $i] : ((~r1(X, Y)) | p9(Y))) | (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(((~p7(X)) & (~p8(X))) | (p8(X) & p7(X)))))))))))) | ![X: $i] : ((~r1(Y, X)) | p8(X))) | (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(((~p6(X)) & (~p7(X))) | (p7(X) & p6(X))))))))))) | ![Y: $i] : ((~r1(X, Y)) | p7(Y))) | (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(((~p5(X)) & (~p6(X))) | (p6(X) & p5(X)))))))))) | ![X: $i] : ((~r1(Y, X)) | p6(X))) | (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(((~p4(X)) & (~p5(X))) | (p5(X) & p4(X))))))))) | ![Y: $i] : ((~r1(X, Y)) | p5(Y))) | (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(((~p3(X)) & (~p4(X))) | (p4(X) & p3(X)))))))) | ![X: $i] : ((~r1(Y, X)) | p4(X))) | (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(((~p2(X)) & (~p3(X))) | (p3(X) & p2(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p3(Y))) | (~![Y: $i] : ((~r1(X, Y)) | (~(~![X: $i] : ((~r1(Y, X)) | (~(((~p1(X)) & (~p2(X))) | (p2(X) & p1(X)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((((((((((((((p16(X) & p15(X)) & p14(X)) & p13(X)) & p12(X)) & p11(X)) & p10(X)) & p9(X)) & p8(X)) & p7(X)) & p6(X)) & p5(X)) & p4(X)) & p3(X)) & p2(X)) & p1(X))))))))))))))))))))) <=> (~?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p17(Y)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((~p32(X)) & (~p30(X)) & (~p28(X)) & (~p26(X)) & (~p24(X)) & (~p22(X)) & (~p20(X)) & (~p18(X)) & (~p16(X)) & (~p14(X)) & (~p12(X)) & (~p10(X)) & (~p8(X)) & (~p6(X)) & (~p4(X)) & (~p2(X))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p16(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p1(X) & p15(X)) | ((~p15(X)) & (~p1(X))))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p15(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p15(X) & p14(X)) | ((~p14(X)) & (~p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p14(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p14(X) & p13(X)) | ((~p13(X)) & (~p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p13(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p13(X) & p12(X)) | ((~p12(X)) & (~p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p12(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p12(X) & p11(X)) | ((~p11(X)) & (~p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p11(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p11(X) & p10(X)) | ((~p10(X)) & (~p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p10(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p10(X) & p9(X)) | ((~p9(X)) & (~p10(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p9(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p9(X) & p8(X)) | ((~p8(X)) & (~p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p8(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p8(X) & p7(X)) | ((~p7(X)) & (~p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p7(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p7(X) & p6(X)) | ((~p6(X)) & (~p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p6(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p6(X) & p5(X)) | ((~p5(X)) & (~p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p5(X) & p4(X)) | ((~p4(X)) & (~p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p4(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p4(X) & p3(X)) | ((~p3(X)) & (~p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p3(X) & p2(X)) | ((~p2(X)) & (~p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p2(X) & p1(X)) | ((~p1(X)) & (~p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (p16(X) & p15(X) & p14(X) & p13(X) & p12(X) & p11(X) & p10(X) & p9(X) & p8(X) & p7(X) & p6(X) & p5(X) & p4(X) & p3(X) & p2(X) & p1(X)))))))))))))))))))))),
% 6.15/4.22 inference(rewrite,[status(thm)],[])).
% 6.15/4.22 tff(124,plain,
% 6.15/4.22 ((~(~?[X: $i] : (~(((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((((((((((((((((~p32(X)) & (~p30(X))) & (~p28(X))) & (~p26(X))) & (~p24(X))) & (~p22(X))) & (~p20(X))) & (~p18(X))) & (~p16(X))) & (~p14(X))) & (~p12(X))) & (~p10(X))) & (~p8(X))) & (~p6(X))) & (~p4(X))) & (~p2(X))))))))))))))))))) | ![Y: $i] : ((~r1(X, Y)) | p17(Y))) | (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(((~p15(X)) & (~p1(X))) | (p1(X) & p15(X)))))))))))))))))))) | ![X: $i] : ((~r1(Y, X)) | p16(X))) | (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(((~p14(X)) & (~p15(X))) | (p15(X) & p14(X))))))))))))))))))) | ![Y: $i] : ((~r1(X, Y)) | p15(Y))) | (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(((~p13(X)) & (~p14(X))) | (p14(X) & p13(X)))))))))))))))))) | ![X: $i] : ((~r1(Y, X)) | p14(X))) | (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(((~p12(X)) & (~p13(X))) | (p13(X) & p12(X))))))))))))))))) | ![Y: $i] : ((~r1(X, Y)) | p13(Y))) | (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(((~p11(X)) & (~p12(X))) | (p12(X) & p11(X)))))))))))))))) | ![X: $i] : ((~r1(Y, X)) | p12(X))) | (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(((~p10(X)) & (~p11(X))) | (p11(X) & p10(X))))))))))))))) | ![Y: $i] : ((~r1(X, Y)) | p11(Y))) | (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(((~p9(X)) & (~p10(X))) | (p10(X) & p9(X)))))))))))))) | ![X: $i] : ((~r1(Y, X)) | p10(X))) | (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(((~p8(X)) & (~p9(X))) | (p9(X) & p8(X))))))))))))) | ![Y: $i] : ((~r1(X, Y)) | p9(Y))) | (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(((~p7(X)) & (~p8(X))) | (p8(X) & p7(X)))))))))))) | ![X: $i] : ((~r1(Y, X)) | p8(X))) | (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(((~p6(X)) & (~p7(X))) | (p7(X) & p6(X))))))))))) | ![Y: $i] : ((~r1(X, Y)) | p7(Y))) | (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(((~p5(X)) & (~p6(X))) | (p6(X) & p5(X)))))))))) | ![X: $i] : ((~r1(Y, X)) | p6(X))) | (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(((~p4(X)) & (~p5(X))) | (p5(X) & p4(X))))))))) | ![Y: $i] : ((~r1(X, Y)) | p5(Y))) | (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(((~p3(X)) & (~p4(X))) | (p4(X) & p3(X)))))))) | ![X: $i] : ((~r1(Y, X)) | p4(X))) | (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(((~p2(X)) & (~p3(X))) | (p3(X) & p2(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p3(Y))) | (~![Y: $i] : ((~r1(X, Y)) | (~(~![X: $i] : ((~r1(Y, X)) | (~(((~p1(X)) & (~p2(X))) | (p2(X) & p1(X)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((((((((((((((p16(X) & p15(X)) & p14(X)) & p13(X)) & p12(X)) & p11(X)) & p10(X)) & p9(X)) & p8(X)) & p7(X)) & p6(X)) & p5(X)) & p4(X)) & p3(X)) & p2(X)) & p1(X)))))))))))))))))))))) <=> (~(~?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p17(Y)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((~p32(X)) & (~p30(X)) & (~p28(X)) & (~p26(X)) & (~p24(X)) & (~p22(X)) & (~p20(X)) & (~p18(X)) & (~p16(X)) & (~p14(X)) & (~p12(X)) & (~p10(X)) & (~p8(X)) & (~p6(X)) & (~p4(X)) & (~p2(X))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p16(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p1(X) & p15(X)) | ((~p15(X)) & (~p1(X))))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p15(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p15(X) & p14(X)) | ((~p14(X)) & (~p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p14(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p14(X) & p13(X)) | ((~p13(X)) & (~p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p13(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p13(X) & p12(X)) | ((~p12(X)) & (~p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p12(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p12(X) & p11(X)) | ((~p11(X)) & (~p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p11(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p11(X) & p10(X)) | ((~p10(X)) & (~p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p10(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p10(X) & p9(X)) | ((~p9(X)) & (~p10(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p9(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p9(X) & p8(X)) | ((~p8(X)) & (~p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p8(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p8(X) & p7(X)) | ((~p7(X)) & (~p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p7(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p7(X) & p6(X)) | ((~p6(X)) & (~p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p6(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p6(X) & p5(X)) | ((~p5(X)) & (~p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p5(X) & p4(X)) | ((~p4(X)) & (~p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p4(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p4(X) & p3(X)) | ((~p3(X)) & (~p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p3(X) & p2(X)) | ((~p2(X)) & (~p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p2(X) & p1(X)) | ((~p1(X)) & (~p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (p16(X) & p15(X) & p14(X) & p13(X) & p12(X) & p11(X) & p10(X) & p9(X) & p8(X) & p7(X) & p6(X) & p5(X) & p4(X) & p3(X) & p2(X) & p1(X))))))))))))))))))))))),
% 6.21/4.22 inference(monotonicity,[status(thm)],[123])).
% 6.21/4.22 tff(125,plain,
% 6.21/4.22 ((~(~?[X: $i] : (~(((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((((((((((((((((~p32(X)) & (~p30(X))) & (~p28(X))) & (~p26(X))) & (~p24(X))) & (~p22(X))) & (~p20(X))) & (~p18(X))) & (~p16(X))) & (~p14(X))) & (~p12(X))) & (~p10(X))) & (~p8(X))) & (~p6(X))) & (~p4(X))) & (~p2(X))))))))))))))))))) | ![Y: $i] : ((~r1(X, Y)) | p17(Y))) | (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(((~p15(X)) & (~p1(X))) | (p1(X) & p15(X)))))))))))))))))))) | ![X: $i] : ((~r1(Y, X)) | p16(X))) | (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(((~p14(X)) & (~p15(X))) | (p15(X) & p14(X))))))))))))))))))) | ![Y: $i] : ((~r1(X, Y)) | p15(Y))) | (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(((~p13(X)) & (~p14(X))) | (p14(X) & p13(X)))))))))))))))))) | ![X: $i] : ((~r1(Y, X)) | p14(X))) | (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(((~p12(X)) & (~p13(X))) | (p13(X) & p12(X))))))))))))))))) | ![Y: $i] : ((~r1(X, Y)) | p13(Y))) | (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(((~p11(X)) & (~p12(X))) | (p12(X) & p11(X)))))))))))))))) | ![X: $i] : ((~r1(Y, X)) | p12(X))) | (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(((~p10(X)) & (~p11(X))) | (p11(X) & p10(X))))))))))))))) | ![Y: $i] : ((~r1(X, Y)) | p11(Y))) | (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(((~p9(X)) & (~p10(X))) | (p10(X) & p9(X)))))))))))))) | ![X: $i] : ((~r1(Y, X)) | p10(X))) | (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(((~p8(X)) & (~p9(X))) | (p9(X) & p8(X))))))))))))) | ![Y: $i] : ((~r1(X, Y)) | p9(Y))) | (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(((~p7(X)) & (~p8(X))) | (p8(X) & p7(X)))))))))))) | ![X: $i] : ((~r1(Y, X)) | p8(X))) | (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(((~p6(X)) & (~p7(X))) | (p7(X) & p6(X))))))))))) | ![Y: $i] : ((~r1(X, Y)) | p7(Y))) | (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(((~p5(X)) & (~p6(X))) | (p6(X) & p5(X)))))))))) | ![X: $i] : ((~r1(Y, X)) | p6(X))) | (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(((~p4(X)) & (~p5(X))) | (p5(X) & p4(X))))))))) | ![Y: $i] : ((~r1(X, Y)) | p5(Y))) | (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(((~p3(X)) & (~p4(X))) | (p4(X) & p3(X)))))))) | ![X: $i] : ((~r1(Y, X)) | p4(X))) | (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(((~p2(X)) & (~p3(X))) | (p3(X) & p2(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p3(Y))) | (~![Y: $i] : ((~r1(X, Y)) | (~(~![X: $i] : ((~r1(Y, X)) | (~(((~p1(X)) & (~p2(X))) | (p2(X) & p1(X)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((((((((((((((p16(X) & p15(X)) & p14(X)) & p13(X)) & p12(X)) & p11(X)) & p10(X)) & p9(X)) & p8(X)) & p7(X)) & p6(X)) & p5(X)) & p4(X)) & p3(X)) & p2(X)) & p1(X)))))))))))))))))))))) <=> ?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p17(Y)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((~p32(X)) & (~p30(X)) & (~p28(X)) & (~p26(X)) & (~p24(X)) & (~p22(X)) & (~p20(X)) & (~p18(X)) & (~p16(X)) & (~p14(X)) & (~p12(X)) & (~p10(X)) & (~p8(X)) & (~p6(X)) & (~p4(X)) & (~p2(X))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p16(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p1(X) & p15(X)) | ((~p15(X)) & (~p1(X))))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p15(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p15(X) & p14(X)) | ((~p14(X)) & (~p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p14(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p14(X) & p13(X)) | ((~p13(X)) & (~p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p13(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p13(X) & p12(X)) | ((~p12(X)) & (~p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p12(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p12(X) & p11(X)) | ((~p11(X)) & (~p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p11(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p11(X) & p10(X)) | ((~p10(X)) & (~p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p10(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p10(X) & p9(X)) | ((~p9(X)) & (~p10(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p9(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p9(X) & p8(X)) | ((~p8(X)) & (~p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p8(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p8(X) & p7(X)) | ((~p7(X)) & (~p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p7(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p7(X) & p6(X)) | ((~p6(X)) & (~p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p6(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p6(X) & p5(X)) | ((~p5(X)) & (~p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p5(X) & p4(X)) | ((~p4(X)) & (~p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p4(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p4(X) & p3(X)) | ((~p3(X)) & (~p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p3(X) & p2(X)) | ((~p2(X)) & (~p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p2(X) & p1(X)) | ((~p1(X)) & (~p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (p16(X) & p15(X) & p14(X) & p13(X) & p12(X) & p11(X) & p10(X) & p9(X) & p8(X) & p7(X) & p6(X) & p5(X) & p4(X) & p3(X) & p2(X) & p1(X))))))))))))))))))))),
% 6.21/4.23 inference(transitivity,[status(thm)],[124, 122])).
% 6.21/4.23 tff(126,axiom,(~(~?[X: $i] : (~(((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((((((((((((((((~p32(X)) & (~p30(X))) & (~p28(X))) & (~p26(X))) & (~p24(X))) & (~p22(X))) & (~p20(X))) & (~p18(X))) & (~p16(X))) & (~p14(X))) & (~p12(X))) & (~p10(X))) & (~p8(X))) & (~p6(X))) & (~p4(X))) & (~p2(X))))))))))))))))))) | ![Y: $i] : ((~r1(X, Y)) | p17(Y))) | (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(((~p15(X)) & (~p1(X))) | (p1(X) & p15(X)))))))))))))))))))) | ![X: $i] : ((~r1(Y, X)) | p16(X))) | (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(((~p14(X)) & (~p15(X))) | (p15(X) & p14(X))))))))))))))))))) | ![Y: $i] : ((~r1(X, Y)) | p15(Y))) | (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(((~p13(X)) & (~p14(X))) | (p14(X) & p13(X)))))))))))))))))) | ![X: $i] : ((~r1(Y, X)) | p14(X))) | (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(((~p12(X)) & (~p13(X))) | (p13(X) & p12(X))))))))))))))))) | ![Y: $i] : ((~r1(X, Y)) | p13(Y))) | (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(((~p11(X)) & (~p12(X))) | (p12(X) & p11(X)))))))))))))))) | ![X: $i] : ((~r1(Y, X)) | p12(X))) | (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(((~p10(X)) & (~p11(X))) | (p11(X) & p10(X))))))))))))))) | ![Y: $i] : ((~r1(X, Y)) | p11(Y))) | (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(((~p9(X)) & (~p10(X))) | (p10(X) & p9(X)))))))))))))) | ![X: $i] : ((~r1(Y, X)) | p10(X))) | (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(((~p8(X)) & (~p9(X))) | (p9(X) & p8(X))))))))))))) | ![Y: $i] : ((~r1(X, Y)) | p9(Y))) | (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(((~p7(X)) & (~p8(X))) | (p8(X) & p7(X)))))))))))) | ![X: $i] : ((~r1(Y, X)) | p8(X))) | (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(((~p6(X)) & (~p7(X))) | (p7(X) & p6(X))))))))))) | ![Y: $i] : ((~r1(X, Y)) | p7(Y))) | (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(((~p5(X)) & (~p6(X))) | (p6(X) & p5(X)))))))))) | ![X: $i] : ((~r1(Y, X)) | p6(X))) | (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(((~p4(X)) & (~p5(X))) | (p5(X) & p4(X))))))))) | ![Y: $i] : ((~r1(X, Y)) | p5(Y))) | (~![Y: $i] : ((~r1(X, Y)) | (~(((~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(((~p3(X)) & (~p4(X))) | (p4(X) & p3(X)))))))) | ![X: $i] : ((~r1(Y, X)) | p4(X))) | (~![X: $i] : ((~r1(Y, X)) | (~(((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(((~p2(X)) & (~p3(X))) | (p3(X) & p2(X))))))) | ![Y: $i] : ((~r1(X, Y)) | p3(Y))) | (~![Y: $i] : ((~r1(X, Y)) | (~(~![X: $i] : ((~r1(Y, X)) | (~(((~p1(X)) & (~p2(X))) | (p2(X) & p1(X)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((((((((((((((p16(X) & p15(X)) & p14(X)) & p13(X)) & p12(X)) & p11(X)) & p10(X)) & p9(X)) & p8(X)) & p7(X)) & p6(X)) & p5(X)) & p4(X)) & p3(X)) & p2(X)) & p1(X)))))))))))))))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','main')).
% 6.21/4.23 tff(127,plain,
% 6.21/4.23 (?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p17(Y)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((~p32(X)) & (~p30(X)) & (~p28(X)) & (~p26(X)) & (~p24(X)) & (~p22(X)) & (~p20(X)) & (~p18(X)) & (~p16(X)) & (~p14(X)) & (~p12(X)) & (~p10(X)) & (~p8(X)) & (~p6(X)) & (~p4(X)) & (~p2(X))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p16(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p1(X) & p15(X)) | ((~p15(X)) & (~p1(X))))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p15(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p15(X) & p14(X)) | ((~p14(X)) & (~p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p14(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p14(X) & p13(X)) | ((~p13(X)) & (~p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p13(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p13(X) & p12(X)) | ((~p12(X)) & (~p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p12(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p12(X) & p11(X)) | ((~p11(X)) & (~p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p11(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p11(X) & p10(X)) | ((~p10(X)) & (~p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p10(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p10(X) & p9(X)) | ((~p9(X)) & (~p10(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p9(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p9(X) & p8(X)) | ((~p8(X)) & (~p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p8(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p8(X) & p7(X)) | ((~p7(X)) & (~p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p7(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p7(X) & p6(X)) | ((~p6(X)) & (~p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p6(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p6(X) & p5(X)) | ((~p5(X)) & (~p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p5(X) & p4(X)) | ((~p4(X)) & (~p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p4(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p4(X) & p3(X)) | ((~p3(X)) & (~p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p3(X) & p2(X)) | ((~p2(X)) & (~p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p2(X) & p1(X)) | ((~p1(X)) & (~p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (p16(X) & p15(X) & p14(X) & p13(X) & p12(X) & p11(X) & p10(X) & p9(X) & p8(X) & p7(X) & p6(X) & p5(X) & p4(X) & p3(X) & p2(X) & p1(X))))))))))))))))))))),
% 6.21/4.23 inference(modus_ponens,[status(thm)],[126, 125])).
% 6.21/4.23 tff(128,plain,
% 6.21/4.23 (?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p17(Y)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((~p32(X)) & (~p30(X)) & (~p28(X)) & (~p26(X)) & (~p24(X)) & (~p22(X)) & (~p20(X)) & (~p18(X)) & (~p16(X)) & (~p14(X)) & (~p12(X)) & (~p10(X)) & (~p8(X)) & (~p6(X)) & (~p4(X)) & (~p2(X))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p16(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p1(X) & p15(X)) | ((~p15(X)) & (~p1(X))))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p15(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p15(X) & p14(X)) | ((~p14(X)) & (~p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p14(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p14(X) & p13(X)) | ((~p13(X)) & (~p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p13(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p13(X) & p12(X)) | ((~p12(X)) & (~p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p12(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p12(X) & p11(X)) | ((~p11(X)) & (~p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p11(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p11(X) & p10(X)) | ((~p10(X)) & (~p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p10(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p10(X) & p9(X)) | ((~p9(X)) & (~p10(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p9(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p9(X) & p8(X)) | ((~p8(X)) & (~p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p8(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p8(X) & p7(X)) | ((~p7(X)) & (~p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p7(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p7(X) & p6(X)) | ((~p6(X)) & (~p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p6(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p6(X) & p5(X)) | ((~p5(X)) & (~p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p5(X) & p4(X)) | ((~p4(X)) & (~p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p4(X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p4(X) & p3(X)) | ((~p3(X)) & (~p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p3(X) & p2(X)) | ((~p2(X)) & (~p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p2(X) & p1(X)) | ((~p1(X)) & (~p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (p16(X) & p15(X) & p14(X) & p13(X) & p12(X) & p11(X) & p10(X) & p9(X) & p8(X) & p7(X) & p6(X) & p5(X) & p4(X) & p3(X) & p2(X) & p1(X))))))))))))))))))))),
% 6.21/4.24 inference(modus_ponens,[status(thm)],[127, 121])).
% 6.21/4.24 tff(129,plain,
% 6.21/4.24 ((~((~r1(X!0, Y!1)) | p17(Y!1))) & r1(X!0, Y!2) & r1(Y!2, X!3) & r1(X!3, Y!4) & r1(Y!4, X!5) & r1(X!5, Y!6) & r1(Y!6, X!7) & r1(X!7, Y!8) & r1(Y!8, X!9) & r1(X!9, Y!10) & r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & (~((~r1(Y!16, X!17)) | ((~p32(X!17)) & (~p30(X!17)) & (~p28(X!17)) & (~p26(X!17)) & (~p24(X!17)) & (~p22(X!17)) & (~p20(X!17)) & (~p18(X!17)) & (~p16(X!17)) & (~p14(X!17)) & (~p12(X!17)) & (~p10(X!17)) & (~p8(X!17)) & (~p6(X!17)) & (~p4(X!17)) & (~p2(X!17))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((~((~r1(Y, tptp_fun_X_18(Y))) | p16(tptp_fun_X_18(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p1(X) & p15(X)) | ((~p15(X)) & (~p1(X)))))))))))))))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_19(X))) | p15(tptp_fun_Y_19(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p15(X) & p14(X)) | ((~p14(X)) & (~p15(X))))))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p14(X) & p13(X)) | ((~p13(X)) & (~p14(X)))))))))))))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p13(X) & p12(X)) | ((~p12(X)) & (~p13(X))))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p12(X) & p11(X)) | ((~p11(X)) & (~p12(X)))))))))))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p11(X) & p10(X)) | ((~p10(X)) & (~p11(X))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p10(X) & p9(X)) | ((~p9(X)) & (~p10(X)))))))))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p9(X) & p8(X)) | ((~p8(X)) & (~p9(X))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p8(X) & p7(X)) | ((~p7(X)) & (~p8(X)))))))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p7(X) & p6(X)) | ((~p6(X)) & (~p7(X))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p6(X) & p5(X)) | ((~p5(X)) & (~p6(X)))))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p5(X) & p4(X)) | ((~p4(X)) & (~p5(X))))))))) & ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p4(X) & p3(X)) | ((~p3(X)) & (~p4(X)))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p3(X) & p2(X)) | ((~p2(X)) & (~p3(X))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p2(X) & p1(X)) | ((~p1(X)) & (~p2(X))))))))))))))))))))))))))))))))))) & r1(X!0, Y!32) & r1(Y!32, X!33) & r1(X!33, Y!34) & r1(Y!34, X!35) & r1(X!35, Y!36) & r1(Y!36, X!37) & r1(X!37, Y!38) & r1(Y!38, X!39) & r1(X!39, Y!40) & r1(Y!40, X!41) & r1(X!41, Y!42) & r1(Y!42, X!43) & r1(X!43, Y!44) & r1(Y!44, X!45) & r1(X!45, Y!46) & (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47))))),
% 6.21/4.24 inference(modus_ponens,[status(thm)],[128, 120])).
% 6.21/4.24 tff(130,plain,
% 6.21/4.24 (r1(X!0, Y!32)),
% 6.21/4.24 inference(and_elim,[status(thm)],[129])).
% 6.21/4.24 tff(131,plain,
% 6.21/4.24 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_18(Y))) | p16(tptp_fun_X_18(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p15(tptp_fun_Y_19(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X)))))))))))))))))))))))))))))))))))))))))) <=> ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_18(Y))) | p16(tptp_fun_X_18(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p15(tptp_fun_Y_19(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 6.21/4.24 inference(bind,[status(th)],[])).
% 6.21/4.24 tff(132,plain,
% 6.21/4.24 (![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_18(Y))) | p16(tptp_fun_X_18(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p15(tptp_fun_Y_19(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X)))))))))))))))))))))))))))))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_18(Y))) | p16(tptp_fun_X_18(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p15(tptp_fun_Y_19(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 6.21/4.25 inference(quant_intro,[status(thm)],[131])).
% 6.21/4.25 tff(133,plain,
% 6.21/4.25 (^[Y: $i] : refl(((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_18(Y))) | p16(tptp_fun_X_18(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p15(tptp_fun_Y_19(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X)))))))))))))))))))))))))))))))))))))))))) <=> ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_18(Y))) | p16(tptp_fun_X_18(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p15(tptp_fun_Y_19(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X)))))))))))))))))))))))))))))))))))))))))))),
% 6.21/4.25 inference(bind,[status(th)],[])).
% 6.21/4.25 tff(134,plain,
% 6.21/4.25 (![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_18(Y))) | p16(tptp_fun_X_18(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p15(tptp_fun_Y_19(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X)))))))))))))))))))))))))))))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_18(Y))) | p16(tptp_fun_X_18(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p15(tptp_fun_Y_19(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))))))))))))))))))))))))))))))),
% 6.21/4.25 inference(quant_intro,[status(thm)],[133])).
% 6.21/4.25 tff(135,plain,
% 6.21/4.25 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_18(Y))) | p16(tptp_fun_X_18(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p15(tptp_fun_Y_19(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X)))))))))))))))))))))))))))))))))))))))))) <=> ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_18(Y))) | p16(tptp_fun_X_18(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p15(tptp_fun_Y_19(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X)))))))))))))))))))))))))))))))))))))))))))),
% 6.24/4.26 inference(bind,[status(th)],[])).
% 6.24/4.26 tff(136,plain,
% 6.24/4.26 (![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_18(Y))) | p16(tptp_fun_X_18(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p15(tptp_fun_Y_19(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X)))))))))))))))))))))))))))))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_18(Y))) | p16(tptp_fun_X_18(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p15(tptp_fun_Y_19(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))))))))))))))))))))))))))))))),
% 6.24/4.26 inference(quant_intro,[status(thm)],[135])).
% 6.24/4.26 tff(137,plain,
% 6.24/4.26 (![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_18(Y))) | p16(tptp_fun_X_18(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p15(tptp_fun_Y_19(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X)))))))))))))))))))))))))))))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_18(Y))) | p16(tptp_fun_X_18(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p15(tptp_fun_Y_19(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))))))))))))))))))))))))))))))),
% 6.24/4.26 inference(transitivity,[status(thm)],[136, 134])).
% 6.24/4.26 tff(138,plain,
% 6.24/4.26 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ((~((~r1(Y, tptp_fun_X_18(Y))) | p16(tptp_fun_X_18(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p1(X) & p15(X)) | ((~p15(X)) & (~p1(X)))))))))))))))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_19(X))) | p15(tptp_fun_Y_19(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p15(X) & p14(X)) | ((~p14(X)) & (~p15(X))))))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p14(X) & p13(X)) | ((~p13(X)) & (~p14(X)))))))))))))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p13(X) & p12(X)) | ((~p12(X)) & (~p13(X))))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p12(X) & p11(X)) | ((~p11(X)) & (~p12(X)))))))))))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p11(X) & p10(X)) | ((~p10(X)) & (~p11(X))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p10(X) & p9(X)) | ((~p9(X)) & (~p10(X)))))))))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p9(X) & p8(X)) | ((~p8(X)) & (~p9(X))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p8(X) & p7(X)) | ((~p7(X)) & (~p8(X)))))))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p7(X) & p6(X)) | ((~p6(X)) & (~p7(X))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p6(X) & p5(X)) | ((~p5(X)) & (~p6(X)))))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p5(X) & p4(X)) | ((~p4(X)) & (~p5(X))))))))) & ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p4(X) & p3(X)) | ((~p3(X)) & (~p4(X)))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p3(X) & p2(X)) | ((~p2(X)) & (~p3(X))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p2(X) & p1(X)) | ((~p1(X)) & (~p2(X))))))))))))))))))))))))))))))))))) <=> ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_18(Y))) | p16(tptp_fun_X_18(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p15(tptp_fun_Y_19(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X)))))))))))))))))))))))))))))))))))))))))))),
% 6.24/4.27 inference(bind,[status(th)],[])).
% 6.24/4.27 tff(139,plain,
% 6.24/4.27 (![Y: $i] : ((~r1(X!0, Y)) | ((~((~r1(Y, tptp_fun_X_18(Y))) | p16(tptp_fun_X_18(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p1(X) & p15(X)) | ((~p15(X)) & (~p1(X)))))))))))))))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_19(X))) | p15(tptp_fun_Y_19(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p15(X) & p14(X)) | ((~p14(X)) & (~p15(X))))))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p14(X) & p13(X)) | ((~p13(X)) & (~p14(X)))))))))))))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p13(X) & p12(X)) | ((~p12(X)) & (~p13(X))))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p12(X) & p11(X)) | ((~p11(X)) & (~p12(X)))))))))))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p11(X) & p10(X)) | ((~p10(X)) & (~p11(X))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p10(X) & p9(X)) | ((~p9(X)) & (~p10(X)))))))))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p9(X) & p8(X)) | ((~p8(X)) & (~p9(X))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p8(X) & p7(X)) | ((~p7(X)) & (~p8(X)))))))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p7(X) & p6(X)) | ((~p6(X)) & (~p7(X))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p6(X) & p5(X)) | ((~p5(X)) & (~p6(X)))))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p5(X) & p4(X)) | ((~p4(X)) & (~p5(X))))))))) & ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p4(X) & p3(X)) | ((~p3(X)) & (~p4(X)))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p3(X) & p2(X)) | ((~p2(X)) & (~p3(X))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p2(X) & p1(X)) | ((~p1(X)) & (~p2(X))))))))))))))))))))))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_18(Y))) | p16(tptp_fun_X_18(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p15(tptp_fun_Y_19(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))))))))))))))))))))))))))))))),
% 6.24/4.27 inference(quant_intro,[status(thm)],[138])).
% 6.24/4.27 tff(140,plain,
% 6.24/4.27 (![Y: $i] : ((~r1(X!0, Y)) | ((~((~r1(Y, tptp_fun_X_18(Y))) | p16(tptp_fun_X_18(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p1(X) & p15(X)) | ((~p15(X)) & (~p1(X)))))))))))))))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_19(X))) | p15(tptp_fun_Y_19(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p15(X) & p14(X)) | ((~p14(X)) & (~p15(X))))))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p14(X) & p13(X)) | ((~p13(X)) & (~p14(X)))))))))))))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p13(X) & p12(X)) | ((~p12(X)) & (~p13(X))))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p12(X) & p11(X)) | ((~p11(X)) & (~p12(X)))))))))))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p11(X) & p10(X)) | ((~p10(X)) & (~p11(X))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p10(X) & p9(X)) | ((~p9(X)) & (~p10(X)))))))))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p9(X) & p8(X)) | ((~p8(X)) & (~p9(X))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p8(X) & p7(X)) | ((~p7(X)) & (~p8(X)))))))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p7(X) & p6(X)) | ((~p6(X)) & (~p7(X))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p6(X) & p5(X)) | ((~p5(X)) & (~p6(X)))))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p5(X) & p4(X)) | ((~p4(X)) & (~p5(X))))))))) & ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)))) & ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p4(X) & p3(X)) | ((~p3(X)) & (~p4(X)))))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p3(X) & p2(X)) | ((~p2(X)) & (~p3(X))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((p2(X) & p1(X)) | ((~p1(X)) & (~p2(X)))))))))))))))))))))))))))))))))))),
% 6.24/4.27 inference(and_elim,[status(thm)],[129])).
% 6.24/4.27 tff(141,plain,
% 6.24/4.27 (![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_18(Y))) | p16(tptp_fun_X_18(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p15(tptp_fun_Y_19(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))))))))))))))))))))))))))))))),
% 6.24/4.27 inference(modus_ponens,[status(thm)],[140, 139])).
% 6.24/4.27 tff(142,plain,
% 6.24/4.27 (![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_18(Y))) | p16(tptp_fun_X_18(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p15(tptp_fun_Y_19(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))))))))))))))))))))))))))))))),
% 6.24/4.27 inference(modus_ponens,[status(thm)],[141, 137])).
% 6.24/4.27 tff(143,plain,
% 6.24/4.27 (![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_18(Y))) | p16(tptp_fun_X_18(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p15(tptp_fun_Y_19(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 6.24/4.28 inference(modus_ponens,[status(thm)],[142, 132])).
% 6.24/4.28 tff(144,plain,
% 6.24/4.28 (((~![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_18(Y))) | p16(tptp_fun_X_18(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p15(tptp_fun_Y_19(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: 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X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | ((~r1(X!0, Y!32)) | (~(p16(tptp_fun_X_18(Y!32)) | (~![X: $i] : ((~r1(Y!32, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))))))) | (~r1(Y!32, tptp_fun_X_18(Y!32))) | (~![X: $i] : ((~r1(Y!32, X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p15(tptp_fun_Y_19(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, 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(~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) <=> ((~![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_18(Y))) | p16(tptp_fun_X_18(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p15(tptp_fun_Y_19(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~r1(X!0, Y!32)) | (~(p16(tptp_fun_X_18(Y!32)) | (~![X: $i] : ((~r1(Y!32, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))))))) | (~r1(Y!32, tptp_fun_X_18(Y!32))) | (~![X: $i] : ((~r1(Y!32, X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p15(tptp_fun_Y_19(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 6.24/4.28 inference(rewrite,[status(thm)],[])).
% 6.24/4.28 tff(145,plain,
% 6.24/4.28 (((~r1(X!0, Y!32)) | (~((~r1(Y!32, tptp_fun_X_18(Y!32))) | p16(tptp_fun_X_18(Y!32)) | (~![X: $i] : ((~r1(Y!32, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))))))) | (~![X: $i] : ((~r1(Y!32, X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p15(tptp_fun_Y_19(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) <=> ((~r1(X!0, Y!32)) | (~(p16(tptp_fun_X_18(Y!32)) | (~![X: $i] : ((~r1(Y!32, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))))))) | (~r1(Y!32, tptp_fun_X_18(Y!32))) | (~![X: $i] : ((~r1(Y!32, X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p15(tptp_fun_Y_19(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 6.24/4.29 inference(rewrite,[status(thm)],[])).
% 6.24/4.29 tff(146,plain,
% 6.24/4.29 (((~![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_18(Y))) | p16(tptp_fun_X_18(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p15(tptp_fun_Y_19(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : 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p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) <=> ((~![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_18(Y))) | p16(tptp_fun_X_18(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p15(tptp_fun_Y_19(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | ((~r1(X!0, Y!32)) | (~(p16(tptp_fun_X_18(Y!32)) | (~![X: $i] : ((~r1(Y!32, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))))))) | (~r1(Y!32, tptp_fun_X_18(Y!32))) | (~![X: $i] : ((~r1(Y!32, X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p15(tptp_fun_Y_19(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 6.24/4.29 inference(monotonicity,[status(thm)],[145])).
% 6.24/4.29 tff(147,plain,
% 6.24/4.29 (((~![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_18(Y))) | p16(tptp_fun_X_18(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p15(tptp_fun_Y_19(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : 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(~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: 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X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | 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p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) <=> ((~![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_18(Y))) | p16(tptp_fun_X_18(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p15(tptp_fun_Y_19(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~r1(X!0, Y!32)) | (~(p16(tptp_fun_X_18(Y!32)) | (~![X: $i] : ((~r1(Y!32, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))))))) | (~r1(Y!32, tptp_fun_X_18(Y!32))) | (~![X: $i] : ((~r1(Y!32, X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p15(tptp_fun_Y_19(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 6.24/4.30 inference(transitivity,[status(thm)],[146, 144])).
% 6.24/4.30 tff(148,plain,
% 6.24/4.30 ((~![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_18(Y))) | p16(tptp_fun_X_18(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p15(tptp_fun_Y_19(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : 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(~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: 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X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | 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p15(tptp_fun_Y_19(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, 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p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 6.24/4.30 inference(quant_inst,[status(thm)],[])).
% 6.24/4.30 tff(149,plain,
% 6.24/4.30 ((~![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_18(Y))) | p16(tptp_fun_X_18(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p15(tptp_fun_Y_19(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: 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X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~r1(X!0, Y!32)) | (~(p16(tptp_fun_X_18(Y!32)) | (~![X: $i] : ((~r1(Y!32, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))))))) | (~r1(Y!32, tptp_fun_X_18(Y!32))) | (~![X: $i] : ((~r1(Y!32, X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p15(tptp_fun_Y_19(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 6.24/4.31 inference(modus_ponens,[status(thm)],[148, 147])).
% 6.24/4.31 tff(150,plain,
% 6.24/4.31 (~(p16(tptp_fun_X_18(Y!32)) | (~![X: $i] : ((~r1(Y!32, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))))))) | (~r1(Y!32, tptp_fun_X_18(Y!32))) | (~![X: $i] : ((~r1(Y!32, X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p15(tptp_fun_Y_19(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 6.24/4.31 inference(unit_resolution,[status(thm)],[149, 143, 130])).
% 6.24/4.31 tff(151,plain,
% 6.24/4.31 ((p16(tptp_fun_X_18(Y!32)) | (~![X: $i] : ((~r1(Y!32, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))))))) | (~r1(Y!32, tptp_fun_X_18(Y!32))) | (~![X: $i] : ((~r1(Y!32, X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p15(tptp_fun_Y_19(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | ![X: $i] : ((~r1(Y!32, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))))))),
% 6.24/4.31 inference(tautology,[status(thm)],[])).
% 6.24/4.31 tff(152,plain,
% 6.24/4.31 (![X: $i] : ((~r1(Y!32, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))))))),
% 6.24/4.31 inference(unit_resolution,[status(thm)],[151, 150])).
% 6.24/4.31 tff(153,plain,
% 6.24/4.31 (r1(Y!32, X!33)),
% 6.24/4.31 inference(and_elim,[status(thm)],[129])).
% 6.24/4.31 tff(154,plain,
% 6.24/4.31 (((~![X: $i] : ((~r1(Y!32, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))))))) | ((~r1(Y!32, X!33)) | ![Y: $i] : ((~r1(X!33, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))))))) <=> ((~![X: $i] : ((~r1(Y!32, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))))))) | (~r1(Y!32, X!33)) | ![Y: $i] : ((~r1(X!33, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))))))),
% 6.24/4.31 inference(rewrite,[status(thm)],[])).
% 6.24/4.31 tff(155,plain,
% 6.24/4.31 ((~![X: $i] : ((~r1(Y!32, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))))))) | ((~r1(Y!32, X!33)) | ![Y: $i] : ((~r1(X!33, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))))))),
% 6.24/4.31 inference(quant_inst,[status(thm)],[])).
% 6.24/4.31 tff(156,plain,
% 6.24/4.31 ((~![X: $i] : ((~r1(Y!32, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))))))) | (~r1(Y!32, X!33)) | ![Y: $i] : ((~r1(X!33, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))))))))))))))),
% 6.24/4.31 inference(modus_ponens,[status(thm)],[155, 154])).
% 6.24/4.31 tff(157,plain,
% 6.24/4.31 (![Y: $i] : ((~r1(X!33, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))))))))))))))),
% 6.24/4.31 inference(unit_resolution,[status(thm)],[156, 153, 152])).
% 6.24/4.31 tff(158,plain,
% 6.24/4.31 (r1(X!33, Y!34)),
% 6.24/4.31 inference(and_elim,[status(thm)],[129])).
% 6.24/4.31 tff(159,plain,
% 6.24/4.31 (((~![Y: $i] : ((~r1(X!33, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))))))))))))))) | ((~r1(X!33, Y!34)) | ![X: $i] : ((~r1(Y!34, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))))))))))))))) <=> ((~![Y: $i] : ((~r1(X!33, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))))))))))))))) | (~r1(X!33, Y!34)) | ![X: $i] : ((~r1(Y!34, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))))))))))))))),
% 6.24/4.31 inference(rewrite,[status(thm)],[])).
% 6.24/4.31 tff(160,plain,
% 6.24/4.31 ((~![Y: $i] : ((~r1(X!33, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))))))))))))))) | ((~r1(X!33, Y!34)) | ![X: $i] : ((~r1(Y!34, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))))))))))))))),
% 6.24/4.31 inference(quant_inst,[status(thm)],[])).
% 6.24/4.31 tff(161,plain,
% 6.24/4.31 ((~![Y: $i] : ((~r1(X!33, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))))))))))))))) | (~r1(X!33, Y!34)) | ![X: $i] : ((~r1(Y!34, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))))),
% 6.24/4.31 inference(modus_ponens,[status(thm)],[160, 159])).
% 6.24/4.31 tff(162,plain,
% 6.24/4.31 (![X: $i] : ((~r1(Y!34, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))))),
% 6.24/4.31 inference(unit_resolution,[status(thm)],[161, 158, 157])).
% 6.24/4.31 tff(163,plain,
% 6.24/4.31 (r1(Y!34, X!35)),
% 6.24/4.31 inference(and_elim,[status(thm)],[129])).
% 6.24/4.31 tff(164,plain,
% 6.24/4.31 (((~![X: $i] : ((~r1(Y!34, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))))) | ((~r1(Y!34, X!35)) | ![Y: $i] : ((~r1(X!35, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))))) <=> ((~![X: $i] : ((~r1(Y!34, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))))) | (~r1(Y!34, X!35)) | ![Y: $i] : ((~r1(X!35, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))))),
% 6.24/4.31 inference(rewrite,[status(thm)],[])).
% 6.24/4.31 tff(165,plain,
% 6.24/4.31 ((~![X: $i] : ((~r1(Y!34, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))))) | ((~r1(Y!34, X!35)) | ![Y: $i] : ((~r1(X!35, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))))),
% 6.24/4.31 inference(quant_inst,[status(thm)],[])).
% 6.24/4.31 tff(166,plain,
% 6.24/4.31 ((~![X: $i] : ((~r1(Y!34, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))))) | (~r1(Y!34, X!35)) | ![Y: $i] : ((~r1(X!35, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))))))))))))),
% 6.24/4.31 inference(modus_ponens,[status(thm)],[165, 164])).
% 6.24/4.31 tff(167,plain,
% 6.24/4.31 (![Y: $i] : ((~r1(X!35, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))))))))))))),
% 6.24/4.31 inference(unit_resolution,[status(thm)],[166, 163, 162])).
% 6.24/4.31 tff(168,plain,
% 6.24/4.31 (r1(X!35, Y!36)),
% 6.24/4.31 inference(and_elim,[status(thm)],[129])).
% 6.24/4.31 tff(169,plain,
% 6.24/4.31 (((~![Y: $i] : ((~r1(X!35, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))))))))))))) | ((~r1(X!35, Y!36)) | ![X: $i] : ((~r1(Y!36, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))))))))))))) <=> ((~![Y: $i] : ((~r1(X!35, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))))))))))))) | (~r1(X!35, Y!36)) | ![X: $i] : ((~r1(Y!36, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))))))))))))),
% 6.24/4.31 inference(rewrite,[status(thm)],[])).
% 6.24/4.31 tff(170,plain,
% 6.24/4.31 ((~![Y: $i] : ((~r1(X!35, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))))))))))))) | ((~r1(X!35, Y!36)) | ![X: $i] : ((~r1(Y!36, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))))))))))))),
% 6.24/4.32 inference(quant_inst,[status(thm)],[])).
% 6.24/4.32 tff(171,plain,
% 6.24/4.32 ((~![Y: $i] : ((~r1(X!35, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))))))))))))) | (~r1(X!35, Y!36)) | ![X: $i] : ((~r1(Y!36, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))),
% 6.24/4.32 inference(modus_ponens,[status(thm)],[170, 169])).
% 6.24/4.32 tff(172,plain,
% 6.24/4.32 (![X: $i] : ((~r1(Y!36, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))),
% 6.24/4.32 inference(unit_resolution,[status(thm)],[171, 168, 167])).
% 6.24/4.32 tff(173,plain,
% 6.24/4.32 (r1(Y!36, X!37)),
% 6.24/4.32 inference(and_elim,[status(thm)],[129])).
% 6.24/4.32 tff(174,plain,
% 6.24/4.32 (((~![X: $i] : ((~r1(Y!36, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))) | ((~r1(Y!36, X!37)) | ![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))) <=> ((~![X: $i] : ((~r1(Y!36, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))) | (~r1(Y!36, X!37)) | ![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))),
% 6.24/4.32 inference(rewrite,[status(thm)],[])).
% 6.24/4.32 tff(175,plain,
% 6.24/4.32 ((~![X: $i] : ((~r1(Y!36, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))) | ((~r1(Y!36, X!37)) | ![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))),
% 6.24/4.32 inference(quant_inst,[status(thm)],[])).
% 6.24/4.32 tff(176,plain,
% 6.24/4.32 ((~![X: $i] : ((~r1(Y!36, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))) | (~r1(Y!36, X!37)) | ![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))))))))))),
% 6.24/4.32 inference(modus_ponens,[status(thm)],[175, 174])).
% 6.24/4.32 tff(177,plain,
% 6.24/4.32 (![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))))))))))),
% 6.24/4.32 inference(unit_resolution,[status(thm)],[176, 173, 172])).
% 6.24/4.32 tff(178,plain,
% 6.24/4.32 (r1(X!37, Y!38)),
% 6.24/4.32 inference(and_elim,[status(thm)],[129])).
% 6.24/4.32 tff(179,plain,
% 6.24/4.32 (((~![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))))))))))) | ((~r1(X!37, Y!38)) | ![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))))))))))) <=> ((~![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))))))))))) | (~r1(X!37, Y!38)) | ![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))))))))))),
% 6.24/4.32 inference(rewrite,[status(thm)],[])).
% 6.24/4.32 tff(180,plain,
% 6.24/4.32 ((~![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))))))))))) | ((~r1(X!37, Y!38)) | ![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))))))))))),
% 6.24/4.32 inference(quant_inst,[status(thm)],[])).
% 6.24/4.32 tff(181,plain,
% 6.24/4.32 ((~![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))))))))))) | (~r1(X!37, Y!38)) | ![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))),
% 6.24/4.32 inference(modus_ponens,[status(thm)],[180, 179])).
% 6.24/4.32 tff(182,plain,
% 6.24/4.32 (![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))),
% 6.24/4.32 inference(unit_resolution,[status(thm)],[181, 178, 177])).
% 6.24/4.32 tff(183,plain,
% 6.24/4.32 (r1(Y!38, X!39)),
% 6.24/4.32 inference(and_elim,[status(thm)],[129])).
% 6.24/4.32 tff(184,plain,
% 6.24/4.32 (((~![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))) | ((~r1(Y!38, X!39)) | ![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))) <=> ((~![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))) | (~r1(Y!38, X!39)) | ![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))),
% 6.24/4.32 inference(rewrite,[status(thm)],[])).
% 6.24/4.32 tff(185,plain,
% 6.24/4.32 ((~![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))) | ((~r1(Y!38, X!39)) | ![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))),
% 6.24/4.32 inference(quant_inst,[status(thm)],[])).
% 6.24/4.32 tff(186,plain,
% 6.24/4.32 ((~![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))) | (~r1(Y!38, X!39)) | ![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))))))))),
% 6.24/4.32 inference(modus_ponens,[status(thm)],[185, 184])).
% 6.24/4.32 tff(187,plain,
% 6.24/4.32 (![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))))))))),
% 6.24/4.32 inference(unit_resolution,[status(thm)],[186, 183, 182])).
% 6.24/4.32 tff(188,plain,
% 6.24/4.32 (r1(X!39, Y!40)),
% 6.24/4.32 inference(and_elim,[status(thm)],[129])).
% 6.24/4.32 tff(189,plain,
% 6.24/4.32 (((~![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))))))))) | ((~r1(X!39, Y!40)) | ![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))))))))) <=> ((~![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))))))))) | (~r1(X!39, Y!40)) | ![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))))))))),
% 6.24/4.32 inference(rewrite,[status(thm)],[])).
% 6.24/4.32 tff(190,plain,
% 6.24/4.32 ((~![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))))))))) | ((~r1(X!39, Y!40)) | ![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))))))))),
% 6.24/4.32 inference(quant_inst,[status(thm)],[])).
% 6.24/4.32 tff(191,plain,
% 6.24/4.32 ((~![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))))))))) | (~r1(X!39, Y!40)) | ![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))),
% 6.24/4.32 inference(modus_ponens,[status(thm)],[190, 189])).
% 6.24/4.32 tff(192,plain,
% 6.24/4.32 (![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))),
% 6.24/4.32 inference(unit_resolution,[status(thm)],[191, 188, 187])).
% 6.24/4.32 tff(193,plain,
% 6.24/4.32 (r1(Y!40, X!41)),
% 6.24/4.32 inference(and_elim,[status(thm)],[129])).
% 6.24/4.32 tff(194,plain,
% 6.24/4.32 (((~![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))) | ((~r1(Y!40, X!41)) | ![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))) <=> ((~![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))) | (~r1(Y!40, X!41)) | ![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))),
% 6.24/4.32 inference(rewrite,[status(thm)],[])).
% 6.24/4.32 tff(195,plain,
% 6.24/4.32 ((~![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))) | ((~r1(Y!40, X!41)) | ![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))),
% 6.24/4.32 inference(quant_inst,[status(thm)],[])).
% 6.24/4.32 tff(196,plain,
% 6.24/4.32 ((~![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))) | (~r1(Y!40, X!41)) | ![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))))))),
% 6.24/4.32 inference(modus_ponens,[status(thm)],[195, 194])).
% 6.24/4.32 tff(197,plain,
% 6.24/4.32 (![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))))))),
% 6.24/4.32 inference(unit_resolution,[status(thm)],[196, 193, 192])).
% 6.24/4.32 tff(198,plain,
% 6.24/4.32 (r1(X!41, Y!42)),
% 6.24/4.32 inference(and_elim,[status(thm)],[129])).
% 6.24/4.32 tff(199,plain,
% 6.24/4.32 (((~![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))))))) | ((~r1(X!41, Y!42)) | ![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))))))) <=> ((~![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))))))) | (~r1(X!41, Y!42)) | ![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))))))),
% 6.24/4.32 inference(rewrite,[status(thm)],[])).
% 6.24/4.32 tff(200,plain,
% 6.24/4.32 ((~![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))))))) | ((~r1(X!41, Y!42)) | ![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))))))),
% 6.24/4.32 inference(quant_inst,[status(thm)],[])).
% 6.24/4.32 tff(201,plain,
% 6.24/4.32 ((~![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))))))) | (~r1(X!41, Y!42)) | ![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))),
% 6.24/4.32 inference(modus_ponens,[status(thm)],[200, 199])).
% 6.24/4.32 tff(202,plain,
% 6.24/4.32 ($false),
% 6.24/4.32 inference(unit_resolution,[status(thm)],[201, 198, 197, 2])).
% 6.24/4.32 tff(203,plain,(![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))), inference(lemma,lemma(discharge,[]))).
% 6.24/4.32 tff(204,assumption,(![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))), introduced(assumption)).
% 6.24/4.32 tff(205,assumption,(~![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))))), introduced(assumption)).
% 6.24/4.32 tff(206,plain,
% 6.24/4.32 (r1(Y!42, X!43)),
% 6.24/4.32 inference(and_elim,[status(thm)],[129])).
% 6.24/4.32 tff(207,plain,
% 6.24/4.32 (((~![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))) | ((~r1(Y!42, X!43)) | ![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))) <=> ((~![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))) | (~r1(Y!42, X!43)) | ![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))),
% 6.24/4.32 inference(rewrite,[status(thm)],[])).
% 6.24/4.32 tff(208,plain,
% 6.24/4.32 ((~![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))) | ((~r1(Y!42, X!43)) | ![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))),
% 6.24/4.32 inference(quant_inst,[status(thm)],[])).
% 6.24/4.32 tff(209,plain,
% 6.24/4.32 ((~![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))) | (~r1(Y!42, X!43)) | ![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))))),
% 6.24/4.32 inference(modus_ponens,[status(thm)],[208, 207])).
% 6.24/4.32 tff(210,plain,
% 6.24/4.32 ($false),
% 6.24/4.32 inference(unit_resolution,[status(thm)],[209, 206, 205, 204])).
% 6.24/4.32 tff(211,plain,((~![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))) | ![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))))), inference(lemma,lemma(discharge,[]))).
% 6.24/4.32 tff(212,plain,
% 6.24/4.32 (![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))))),
% 6.24/4.32 inference(unit_resolution,[status(thm)],[211, 203])).
% 6.24/4.32 tff(213,assumption,(![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))))), introduced(assumption)).
% 6.24/4.32 tff(214,assumption,(~![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))), introduced(assumption)).
% 6.24/4.32 tff(215,plain,
% 6.24/4.32 (r1(X!43, Y!44)),
% 6.24/4.32 inference(and_elim,[status(thm)],[129])).
% 6.24/4.32 tff(216,plain,
% 6.24/4.32 (((~![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))))) | ((~r1(X!43, Y!44)) | ![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))))) <=> ((~![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))))) | (~r1(X!43, Y!44)) | ![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))))),
% 6.24/4.32 inference(rewrite,[status(thm)],[])).
% 6.24/4.32 tff(217,plain,
% 6.24/4.32 ((~![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))))) | ((~r1(X!43, Y!44)) | ![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))))),
% 6.24/4.32 inference(quant_inst,[status(thm)],[])).
% 6.24/4.32 tff(218,plain,
% 6.24/4.32 ((~![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))))) | (~r1(X!43, Y!44)) | ![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))),
% 6.24/4.32 inference(modus_ponens,[status(thm)],[217, 216])).
% 6.24/4.32 tff(219,plain,
% 6.24/4.32 ($false),
% 6.24/4.32 inference(unit_resolution,[status(thm)],[218, 215, 214, 213])).
% 6.24/4.32 tff(220,plain,((~![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))))) | ![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))), inference(lemma,lemma(discharge,[]))).
% 6.24/4.32 tff(221,plain,
% 6.24/4.32 (![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))),
% 6.24/4.32 inference(unit_resolution,[status(thm)],[220, 212])).
% 6.24/4.32 tff(222,assumption,(![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))), introduced(assumption)).
% 6.24/4.32 tff(223,assumption,(~![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))), introduced(assumption)).
% 6.24/4.32 tff(224,plain,
% 6.24/4.32 (r1(Y!44, X!45)),
% 6.24/4.32 inference(and_elim,[status(thm)],[129])).
% 6.24/4.32 tff(225,plain,
% 6.24/4.32 (((~![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))) | ((~r1(Y!44, X!45)) | ![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))) <=> ((~![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))) | (~r1(Y!44, X!45)) | ![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))),
% 6.24/4.32 inference(rewrite,[status(thm)],[])).
% 6.24/4.32 tff(226,plain,
% 6.24/4.32 ((~![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))) | ((~r1(Y!44, X!45)) | ![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))),
% 6.24/4.32 inference(quant_inst,[status(thm)],[])).
% 6.24/4.32 tff(227,plain,
% 6.24/4.32 ((~![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))) | (~r1(Y!44, X!45)) | ![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))),
% 6.24/4.32 inference(modus_ponens,[status(thm)],[226, 225])).
% 6.24/4.32 tff(228,plain,
% 6.24/4.32 ($false),
% 6.24/4.32 inference(unit_resolution,[status(thm)],[227, 224, 223, 222])).
% 6.24/4.32 tff(229,plain,((~![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))) | ![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))), inference(lemma,lemma(discharge,[]))).
% 6.24/4.32 tff(230,plain,
% 6.24/4.32 (![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))),
% 6.24/4.32 inference(unit_resolution,[status(thm)],[229, 221])).
% 6.24/4.32 tff(231,assumption,(![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))), introduced(assumption)).
% 6.24/4.32 tff(232,assumption,(~![X: $i] : ((~r1(Y!46, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))), introduced(assumption)).
% 6.24/4.32 tff(233,plain,
% 6.24/4.32 (r1(X!45, Y!46)),
% 6.24/4.32 inference(and_elim,[status(thm)],[129])).
% 6.24/4.32 tff(234,plain,
% 6.24/4.32 (((~![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))) | ((~r1(X!45, Y!46)) | ![X: $i] : ((~r1(Y!46, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))) <=> ((~![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))) | (~r1(X!45, Y!46)) | ![X: $i] : ((~r1(Y!46, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))),
% 6.24/4.32 inference(rewrite,[status(thm)],[])).
% 6.24/4.32 tff(235,plain,
% 6.24/4.32 ((~![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))) | ((~r1(X!45, Y!46)) | ![X: $i] : ((~r1(Y!46, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))),
% 6.24/4.32 inference(quant_inst,[status(thm)],[])).
% 6.24/4.32 tff(236,plain,
% 6.24/4.32 ((~![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))) | (~r1(X!45, Y!46)) | ![X: $i] : ((~r1(Y!46, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))),
% 6.24/4.33 inference(modus_ponens,[status(thm)],[235, 234])).
% 6.24/4.33 tff(237,plain,
% 6.24/4.33 ($false),
% 6.24/4.33 inference(unit_resolution,[status(thm)],[236, 233, 232, 231])).
% 6.24/4.33 tff(238,plain,((~![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X)))))))) | ![X: $i] : ((~r1(Y!46, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))), inference(lemma,lemma(discharge,[]))).
% 6.24/4.33 tff(239,plain,
% 6.24/4.33 (![X: $i] : ((~r1(Y!46, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))),
% 6.24/4.33 inference(unit_resolution,[status(thm)],[238, 230])).
% 6.24/4.33 tff(240,plain,
% 6.24/4.33 (~((~r1(Y!46, X!47)) | (p16(X!47) & p15(X!47) & p14(X!47) & p13(X!47) & p12(X!47) & p11(X!47) & p10(X!47) & p9(X!47) & p8(X!47) & p7(X!47) & p6(X!47) & p5(X!47) & p4(X!47) & p3(X!47) & p2(X!47) & p1(X!47)))),
% 6.24/4.33 inference(and_elim,[status(thm)],[129])).
% 6.24/4.33 tff(241,plain,
% 6.24/4.33 (r1(Y!46, X!47)),
% 6.24/4.33 inference(or_elim,[status(thm)],[240])).
% 6.24/4.33 tff(242,plain,
% 6.24/4.33 (((~![X: $i] : ((~r1(Y!46, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))) | ((~r1(Y!46, X!47)) | (~((~((~p1(X!47)) | (~p15(X!47)))) | (~(p15(X!47) | p1(X!47))))))) <=> ((~![X: $i] : ((~r1(Y!46, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))) | (~r1(Y!46, X!47)) | (~((~((~p1(X!47)) | (~p15(X!47)))) | (~(p15(X!47) | p1(X!47))))))),
% 6.24/4.33 inference(rewrite,[status(thm)],[])).
% 6.24/4.33 tff(243,plain,
% 6.24/4.33 ((~![X: $i] : ((~r1(Y!46, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))) | ((~r1(Y!46, X!47)) | (~((~((~p1(X!47)) | (~p15(X!47)))) | (~(p15(X!47) | p1(X!47))))))),
% 6.24/4.33 inference(quant_inst,[status(thm)],[])).
% 6.24/4.33 tff(244,plain,
% 6.24/4.33 ((~![X: $i] : ((~r1(Y!46, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))) | (~r1(Y!46, X!47)) | (~((~((~p1(X!47)) | (~p15(X!47)))) | (~(p15(X!47) | p1(X!47)))))),
% 6.24/4.33 inference(modus_ponens,[status(thm)],[243, 242])).
% 6.24/4.33 tff(245,plain,
% 6.24/4.33 ($false),
% 6.24/4.33 inference(unit_resolution,[status(thm)],[244, 241, 239, 1])).
% 6.24/4.33 tff(246,plain,(~((~((~p1(X!47)) | (~p15(X!47)))) | (~(p15(X!47) | p1(X!47))))), inference(lemma,lemma(discharge,[]))).
% 6.24/4.33 tff(247,assumption,(~p15(X!47)), introduced(assumption)).
% 6.24/4.33 tff(248,assumption,(~p1(X!47)), introduced(assumption)).
% 6.24/4.33 tff(249,plain,
% 6.24/4.33 ((~(p15(X!47) | p1(X!47))) | p15(X!47) | p1(X!47)),
% 6.24/4.33 inference(tautology,[status(thm)],[])).
% 6.24/4.33 tff(250,plain,
% 6.24/4.33 (~(p15(X!47) | p1(X!47))),
% 6.24/4.33 inference(unit_resolution,[status(thm)],[249, 247, 248])).
% 6.24/4.33 tff(251,plain,
% 6.24/4.33 (((~((~p1(X!47)) | (~p15(X!47)))) | (~(p15(X!47) | p1(X!47)))) | (p15(X!47) | p1(X!47))),
% 6.24/4.33 inference(tautology,[status(thm)],[])).
% 6.24/4.33 tff(252,plain,
% 6.24/4.33 ((~((~p1(X!47)) | (~p15(X!47)))) | (~(p15(X!47) | p1(X!47)))),
% 6.24/4.33 inference(unit_resolution,[status(thm)],[251, 250])).
% 6.24/4.33 tff(253,assumption,(![X: $i] : ((~r1(Y!46, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))), introduced(assumption)).
% 6.24/4.33 tff(254,plain,
% 6.24/4.33 ($false),
% 6.24/4.33 inference(unit_resolution,[status(thm)],[244, 241, 253, 252])).
% 6.24/4.33 tff(255,plain,((~![X: $i] : ((~r1(Y!46, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))) | p15(X!47) | p1(X!47)), inference(lemma,lemma(discharge,[]))).
% 6.24/4.33 tff(256,plain,
% 6.24/4.33 (p15(X!47) | p1(X!47)),
% 6.24/4.33 inference(unit_resolution,[status(thm)],[255, 239])).
% 6.24/4.33 tff(257,plain,
% 6.24/4.33 (p1(X!47)),
% 6.24/4.33 inference(unit_resolution,[status(thm)],[256, 247])).
% 6.24/4.33 tff(258,assumption,((~((~p2(X!47)) | (~p1(X!47)))) | (~(p1(X!47) | p2(X!47)))), introduced(assumption)).
% 6.24/4.33 tff(259,plain,
% 6.24/4.33 ((p16(tptp_fun_X_18(Y!32)) | (~![X: $i] : ((~r1(Y!32, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | (~p15(X)))) | (~(p15(X) | p1(X))))))))))))))))))))) | (~r1(Y!32, tptp_fun_X_18(Y!32))) | (~![X: $i] : ((~r1(Y!32, X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p15(tptp_fun_Y_19(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | ![X: $i] : ((~r1(Y!32, X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p15(tptp_fun_Y_19(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 6.32/4.33 inference(tautology,[status(thm)],[])).
% 6.32/4.33 tff(260,plain,
% 6.32/4.33 (![X: $i] : ((~r1(Y!32, X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p15(tptp_fun_Y_19(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 6.32/4.33 inference(unit_resolution,[status(thm)],[259, 150])).
% 6.32/4.33 tff(261,plain,
% 6.32/4.33 (((~![X: $i] : ((~r1(Y!32, X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p15(tptp_fun_Y_19(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | 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p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | ((~r1(Y!32, X!33)) | (~(p15(tptp_fun_Y_19(X!33)) | (~r1(X!33, tptp_fun_Y_19(X!33))) | (~![Y: $i] : ((~r1(X!33, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X!33, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) <=> ((~![X: $i] : ((~r1(Y!32, X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p15(tptp_fun_Y_19(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~r1(Y!32, X!33)) | (~(p15(tptp_fun_Y_19(X!33)) | (~r1(X!33, tptp_fun_Y_19(X!33))) | (~![Y: $i] : ((~r1(X!33, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X!33, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 6.32/4.34 inference(rewrite,[status(thm)],[])).
% 6.32/4.34 tff(262,plain,
% 6.32/4.34 (((~r1(Y!32, X!33)) | (~((~r1(X!33, tptp_fun_Y_19(X!33))) | p15(tptp_fun_Y_19(X!33)) | (~![Y: $i] : ((~r1(X!33, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X!33, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) <=> ((~r1(Y!32, X!33)) | (~(p15(tptp_fun_Y_19(X!33)) | (~r1(X!33, tptp_fun_Y_19(X!33))) | (~![Y: $i] : ((~r1(X!33, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X!33, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 6.32/4.34 inference(rewrite,[status(thm)],[])).
% 6.32/4.34 tff(263,plain,
% 6.32/4.34 (((~![X: $i] : ((~r1(Y!32, X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p15(tptp_fun_Y_19(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | ((~r1(Y!32, X!33)) | (~((~r1(X!33, tptp_fun_Y_19(X!33))) | p15(tptp_fun_Y_19(X!33)) | (~![Y: $i] : ((~r1(X!33, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : 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((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) <=> ((~![X: $i] : ((~r1(Y!32, X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p15(tptp_fun_Y_19(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | ((~r1(Y!32, X!33)) | (~(p15(tptp_fun_Y_19(X!33)) | (~r1(X!33, tptp_fun_Y_19(X!33))) | (~![Y: $i] : ((~r1(X!33, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X!33, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 6.32/4.35 inference(monotonicity,[status(thm)],[262])).
% 6.32/4.35 tff(264,plain,
% 6.32/4.35 (((~![X: $i] : ((~r1(Y!32, X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p15(tptp_fun_Y_19(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | ((~r1(Y!32, X!33)) | (~((~r1(X!33, tptp_fun_Y_19(X!33))) | p15(tptp_fun_Y_19(X!33)) | (~![Y: $i] : ((~r1(X!33, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X!33, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) <=> ((~![X: $i] : ((~r1(Y!32, X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p15(tptp_fun_Y_19(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~r1(Y!32, X!33)) | (~(p15(tptp_fun_Y_19(X!33)) | (~r1(X!33, tptp_fun_Y_19(X!33))) | (~![Y: $i] : ((~r1(X!33, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X!33, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 6.32/4.35 inference(transitivity,[status(thm)],[263, 261])).
% 6.32/4.35 tff(265,plain,
% 6.32/4.35 ((~![X: $i] : ((~r1(Y!32, X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p15(tptp_fun_Y_19(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | ((~r1(Y!32, X!33)) | (~((~r1(X!33, tptp_fun_Y_19(X!33))) | p15(tptp_fun_Y_19(X!33)) | (~![Y: $i] : ((~r1(X!33, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X!33, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 6.32/4.36 inference(quant_inst,[status(thm)],[])).
% 6.32/4.36 tff(266,plain,
% 6.32/4.36 ((~![X: $i] : ((~r1(Y!32, X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p15(tptp_fun_Y_19(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~r1(Y!32, X!33)) | (~(p15(tptp_fun_Y_19(X!33)) | (~r1(X!33, tptp_fun_Y_19(X!33))) | (~![Y: $i] : ((~r1(X!33, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X!33, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 6.32/4.36 inference(modus_ponens,[status(thm)],[265, 264])).
% 6.32/4.36 tff(267,plain,
% 6.32/4.36 (~(p15(tptp_fun_Y_19(X!33)) | (~r1(X!33, tptp_fun_Y_19(X!33))) | (~![Y: $i] : ((~r1(X!33, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X!33, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 6.32/4.36 inference(unit_resolution,[status(thm)],[266, 153, 260])).
% 6.32/4.36 tff(268,plain,
% 6.32/4.36 ((p15(tptp_fun_Y_19(X!33)) | (~r1(X!33, tptp_fun_Y_19(X!33))) | (~![Y: $i] : ((~r1(X!33, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X!33, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | ![Y: $i] : ((~r1(X!33, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 6.32/4.36 inference(tautology,[status(thm)],[])).
% 6.32/4.36 tff(269,plain,
% 6.32/4.36 (![Y: $i] : ((~r1(X!33, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 6.32/4.36 inference(unit_resolution,[status(thm)],[268, 267])).
% 6.32/4.36 tff(270,plain,
% 6.32/4.36 (((~![Y: $i] : ((~r1(X!33, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))))))) | ((~r1(X!33, Y!34)) | (~(p14(tptp_fun_X_20(Y!34)) | (~![X: $i] : ((~r1(Y!34, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~r1(Y!34, tptp_fun_X_20(Y!34))) | (~![X: $i] : ((~r1(Y!34, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))))))) <=> ((~![Y: $i] : ((~r1(X!33, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~r1(X!33, Y!34)) | (~(p14(tptp_fun_X_20(Y!34)) | (~![X: $i] : ((~r1(Y!34, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~r1(Y!34, tptp_fun_X_20(Y!34))) | (~![X: $i] : ((~r1(Y!34, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 6.36/4.37 inference(rewrite,[status(thm)],[])).
% 6.36/4.37 tff(271,plain,
% 6.36/4.37 (((~r1(X!33, Y!34)) | (~((~r1(Y!34, tptp_fun_X_20(Y!34))) | p14(tptp_fun_X_20(Y!34)) | (~![X: $i] : ((~r1(Y!34, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y!34, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X))))))))))))))))))))))))))))))))))))))))))))))))))))))) <=> ((~r1(X!33, Y!34)) | (~(p14(tptp_fun_X_20(Y!34)) | (~![X: $i] : ((~r1(Y!34, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~r1(Y!34, tptp_fun_X_20(Y!34))) | (~![X: $i] : ((~r1(Y!34, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 6.36/4.37 inference(rewrite,[status(thm)],[])).
% 6.36/4.37 tff(272,plain,
% 6.36/4.37 (((~![Y: $i] : ((~r1(X!33, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))))))) | ((~r1(X!33, Y!34)) | (~((~r1(Y!34, tptp_fun_X_20(Y!34))) | p14(tptp_fun_X_20(Y!34)) | (~![X: $i] : ((~r1(Y!34, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y!34, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))))))) <=> ((~![Y: $i] : ((~r1(X!33, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))))))) | ((~r1(X!33, Y!34)) | (~(p14(tptp_fun_X_20(Y!34)) | (~![X: $i] : ((~r1(Y!34, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~r1(Y!34, tptp_fun_X_20(Y!34))) | (~![X: $i] : ((~r1(Y!34, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 6.36/4.38 inference(monotonicity,[status(thm)],[271])).
% 6.36/4.38 tff(273,plain,
% 6.36/4.38 (((~![Y: $i] : ((~r1(X!33, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))))))) | ((~r1(X!33, Y!34)) | (~((~r1(Y!34, tptp_fun_X_20(Y!34))) | p14(tptp_fun_X_20(Y!34)) | (~![X: $i] : ((~r1(Y!34, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y!34, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))))))) <=> ((~![Y: $i] : ((~r1(X!33, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~r1(X!33, Y!34)) | (~(p14(tptp_fun_X_20(Y!34)) | (~![X: $i] : ((~r1(Y!34, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~r1(Y!34, tptp_fun_X_20(Y!34))) | (~![X: $i] : ((~r1(Y!34, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 6.36/4.38 inference(transitivity,[status(thm)],[272, 270])).
% 6.36/4.38 tff(274,plain,
% 6.36/4.38 ((~![Y: $i] : ((~r1(X!33, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))))))) | ((~r1(X!33, Y!34)) | (~((~r1(Y!34, tptp_fun_X_20(Y!34))) | p14(tptp_fun_X_20(Y!34)) | (~![X: $i] : ((~r1(Y!34, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y!34, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 6.36/4.39 inference(quant_inst,[status(thm)],[])).
% 6.36/4.39 tff(275,plain,
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X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 6.36/4.39 inference(modus_ponens,[status(thm)],[274, 273])).
% 6.36/4.39 tff(276,plain,
% 6.36/4.39 (~(p14(tptp_fun_X_20(Y!34)) | (~![X: $i] : ((~r1(Y!34, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~r1(Y!34, tptp_fun_X_20(Y!34))) | (~![X: $i] : ((~r1(Y!34, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 6.36/4.39 inference(unit_resolution,[status(thm)],[275, 158, 269])).
% 6.36/4.39 tff(277,plain,
% 6.36/4.39 ((p14(tptp_fun_X_20(Y!34)) | (~![X: $i] : ((~r1(Y!34, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~r1(Y!34, tptp_fun_X_20(Y!34))) | (~![X: $i] : ((~r1(Y!34, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X))))))))))))))))))))))))))))))))))))))))))))))))))))) | ![X: $i] : ((~r1(Y!34, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))),
% 6.36/4.39 inference(tautology,[status(thm)],[])).
% 6.36/4.39 tff(278,plain,
% 6.36/4.39 (![X: $i] : ((~r1(Y!34, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))),
% 6.36/4.39 inference(unit_resolution,[status(thm)],[277, 276])).
% 6.36/4.39 tff(279,plain,
% 6.36/4.39 (((~![X: $i] : ((~r1(Y!34, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))) | ((~r1(Y!34, X!35)) | (~((~r1(X!35, tptp_fun_Y_21(X!35))) | p13(tptp_fun_Y_21(X!35)) | (~![Y: $i] : ((~r1(X!35, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X!35, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))) <=> ((~![X: $i] : ((~r1(Y!34, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))) | (~r1(Y!34, X!35)) | (~((~r1(X!35, tptp_fun_Y_21(X!35))) | p13(tptp_fun_Y_21(X!35)) | (~![Y: $i] : ((~r1(X!35, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X!35, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))),
% 6.36/4.40 inference(rewrite,[status(thm)],[])).
% 6.36/4.40 tff(280,plain,
% 6.36/4.40 ((~![X: $i] : ((~r1(Y!34, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))) | ((~r1(Y!34, X!35)) | (~((~r1(X!35, tptp_fun_Y_21(X!35))) | p13(tptp_fun_Y_21(X!35)) | (~![Y: $i] : ((~r1(X!35, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X!35, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))),
% 6.36/4.40 inference(quant_inst,[status(thm)],[])).
% 6.36/4.40 tff(281,plain,
% 6.36/4.40 ((~![X: $i] : ((~r1(Y!34, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))))))) | (~r1(Y!34, X!35)) | (~((~r1(X!35, tptp_fun_Y_21(X!35))) | p13(tptp_fun_Y_21(X!35)) | (~![Y: $i] : ((~r1(X!35, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X!35, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X))))))))))))))))))))))))))))))))))))))))))))))))))),
% 6.36/4.40 inference(modus_ponens,[status(thm)],[280, 279])).
% 6.36/4.40 tff(282,plain,
% 6.36/4.40 (~((~r1(X!35, tptp_fun_Y_21(X!35))) | p13(tptp_fun_Y_21(X!35)) | (~![Y: $i] : ((~r1(X!35, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X!35, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))))),
% 6.36/4.40 inference(unit_resolution,[status(thm)],[281, 163, 278])).
% 6.36/4.40 tff(283,plain,
% 6.36/4.40 (((~r1(X!35, tptp_fun_Y_21(X!35))) | p13(tptp_fun_Y_21(X!35)) | (~![Y: $i] : ((~r1(X!35, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X!35, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X))))))))))))))))))))))))))))))))))))))))))))))))) | ![Y: $i] : ((~r1(X!35, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))),
% 6.36/4.41 inference(tautology,[status(thm)],[])).
% 6.36/4.41 tff(284,plain,
% 6.36/4.41 (![Y: $i] : ((~r1(X!35, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))),
% 6.36/4.41 inference(unit_resolution,[status(thm)],[283, 282])).
% 6.36/4.41 tff(285,plain,
% 6.36/4.41 (((~![Y: $i] : ((~r1(X!35, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))) | ((~r1(X!35, Y!36)) | (~((~r1(Y!36, tptp_fun_X_22(Y!36))) | (~![X: $i] : ((~r1(Y!36, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | p12(tptp_fun_X_22(Y!36)) | (~![X: $i] : ((~r1(Y!36, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : 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![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))) | (~r1(X!35, Y!36)) | (~((~r1(Y!36, tptp_fun_X_22(Y!36))) | (~![X: $i] : ((~r1(Y!36, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | p12(tptp_fun_X_22(Y!36)) | (~![X: $i] : ((~r1(Y!36, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))),
% 6.36/4.41 inference(rewrite,[status(thm)],[])).
% 6.36/4.41 tff(286,plain,
% 6.36/4.41 (((~r1(X!35, Y!36)) | (~((~r1(Y!36, tptp_fun_X_22(Y!36))) | p12(tptp_fun_X_22(Y!36)) | (~![X: $i] : ((~r1(Y!36, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y!36, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X))))))))))))))))))))))))))))))))))))))))))))))) <=> ((~r1(X!35, Y!36)) | (~((~r1(Y!36, tptp_fun_X_22(Y!36))) | (~![X: $i] : ((~r1(Y!36, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | p12(tptp_fun_X_22(Y!36)) | (~![X: $i] : ((~r1(Y!36, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))),
% 6.36/4.41 inference(rewrite,[status(thm)],[])).
% 6.36/4.41 tff(287,plain,
% 6.36/4.41 (((~![Y: $i] : ((~r1(X!35, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))) | ((~r1(X!35, Y!36)) | (~((~r1(Y!36, tptp_fun_X_22(Y!36))) | p12(tptp_fun_X_22(Y!36)) | (~![X: $i] : ((~r1(Y!36, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y!36, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))) <=> ((~![Y: $i] : ((~r1(X!35, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))) | ((~r1(X!35, Y!36)) | (~((~r1(Y!36, tptp_fun_X_22(Y!36))) | (~![X: $i] : ((~r1(Y!36, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | p12(tptp_fun_X_22(Y!36)) | (~![X: $i] : ((~r1(Y!36, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X))))))))))))))))))))))))))))))))))))))))))))))))),
% 6.36/4.42 inference(monotonicity,[status(thm)],[286])).
% 6.36/4.42 tff(288,plain,
% 6.36/4.42 (((~![Y: $i] : ((~r1(X!35, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))) | ((~r1(X!35, Y!36)) | (~((~r1(Y!36, tptp_fun_X_22(Y!36))) | p12(tptp_fun_X_22(Y!36)) | (~![X: $i] : ((~r1(Y!36, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y!36, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))) <=> ((~![Y: $i] : ((~r1(X!35, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))) | (~r1(X!35, Y!36)) | (~((~r1(Y!36, tptp_fun_X_22(Y!36))) | (~![X: $i] : ((~r1(Y!36, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | p12(tptp_fun_X_22(Y!36)) | (~![X: $i] : ((~r1(Y!36, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))),
% 6.36/4.42 inference(transitivity,[status(thm)],[287, 285])).
% 6.36/4.42 tff(289,plain,
% 6.36/4.42 ((~![Y: $i] : ((~r1(X!35, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))) | ((~r1(X!35, Y!36)) | (~((~r1(Y!36, tptp_fun_X_22(Y!36))) | p12(tptp_fun_X_22(Y!36)) | (~![X: $i] : ((~r1(Y!36, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y!36, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))),
% 6.36/4.42 inference(quant_inst,[status(thm)],[])).
% 6.36/4.42 tff(290,plain,
% 6.36/4.42 ((~![Y: $i] : ((~r1(X!35, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))))) | (~r1(X!35, Y!36)) | (~((~r1(Y!36, tptp_fun_X_22(Y!36))) | (~![X: $i] : ((~r1(Y!36, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | p12(tptp_fun_X_22(Y!36)) | (~![X: $i] : ((~r1(Y!36, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X))))))))))))))))))))))))))))))))))))))))))))))),
% 6.36/4.43 inference(modus_ponens,[status(thm)],[289, 288])).
% 6.36/4.43 tff(291,plain,
% 6.36/4.43 (~((~r1(Y!36, tptp_fun_X_22(Y!36))) | (~![X: $i] : ((~r1(Y!36, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | p12(tptp_fun_X_22(Y!36)) | (~![X: $i] : ((~r1(Y!36, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))))),
% 6.36/4.43 inference(unit_resolution,[status(thm)],[290, 168, 284])).
% 6.36/4.43 tff(292,plain,
% 6.36/4.43 (((~r1(Y!36, tptp_fun_X_22(Y!36))) | (~![X: $i] : ((~r1(Y!36, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | p12(tptp_fun_X_22(Y!36)) | (~![X: $i] : ((~r1(Y!36, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X))))))))))))))))))))))))))))))))))))))))))))) | ![X: $i] : ((~r1(Y!36, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))),
% 6.36/4.43 inference(tautology,[status(thm)],[])).
% 6.36/4.43 tff(293,plain,
% 6.36/4.43 (![X: $i] : ((~r1(Y!36, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))),
% 6.36/4.43 inference(unit_resolution,[status(thm)],[292, 291])).
% 6.36/4.43 tff(294,plain,
% 6.36/4.43 (((~![X: $i] : ((~r1(Y!36, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))) | ((~r1(Y!36, X!37)) | (~((~r1(X!37, tptp_fun_Y_23(X!37))) | (~![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | p11(tptp_fun_Y_23(X!37)) | (~![Y: $i] : ((~r1(X!37, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))) <=> ((~![X: $i] : ((~r1(Y!36, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))) | (~r1(Y!36, X!37)) | (~((~r1(X!37, tptp_fun_Y_23(X!37))) | (~![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | p11(tptp_fun_Y_23(X!37)) | (~![Y: $i] : ((~r1(X!37, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))),
% 6.36/4.43 inference(rewrite,[status(thm)],[])).
% 6.36/4.43 tff(295,plain,
% 6.36/4.43 (((~r1(Y!36, X!37)) | (~((~r1(X!37, tptp_fun_Y_23(X!37))) | p11(tptp_fun_Y_23(X!37)) | (~![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X!37, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X))))))))))))))))))))))))))))))))))))))))))) <=> ((~r1(Y!36, X!37)) | (~((~r1(X!37, tptp_fun_Y_23(X!37))) | (~![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | p11(tptp_fun_Y_23(X!37)) | (~![Y: $i] : ((~r1(X!37, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))),
% 6.36/4.44 inference(rewrite,[status(thm)],[])).
% 6.36/4.44 tff(296,plain,
% 6.36/4.44 (((~![X: $i] : ((~r1(Y!36, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))) | ((~r1(Y!36, X!37)) | (~((~r1(X!37, tptp_fun_Y_23(X!37))) | p11(tptp_fun_Y_23(X!37)) | (~![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X!37, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))) <=> ((~![X: $i] : ((~r1(Y!36, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))) | ((~r1(Y!36, X!37)) | (~((~r1(X!37, tptp_fun_Y_23(X!37))) | (~![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | p11(tptp_fun_Y_23(X!37)) | (~![Y: $i] : ((~r1(X!37, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X))))))))))))))))))))))))))))))))))))))))))))),
% 6.43/4.44 inference(monotonicity,[status(thm)],[295])).
% 6.43/4.44 tff(297,plain,
% 6.43/4.44 (((~![X: $i] : ((~r1(Y!36, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))) | ((~r1(Y!36, X!37)) | (~((~r1(X!37, tptp_fun_Y_23(X!37))) | p11(tptp_fun_Y_23(X!37)) | (~![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X!37, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))) <=> ((~![X: $i] : ((~r1(Y!36, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))) | (~r1(Y!36, X!37)) | (~((~r1(X!37, tptp_fun_Y_23(X!37))) | (~![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | p11(tptp_fun_Y_23(X!37)) | (~![Y: $i] : ((~r1(X!37, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))),
% 6.43/4.44 inference(transitivity,[status(thm)],[296, 294])).
% 6.43/4.44 tff(298,plain,
% 6.43/4.44 ((~![X: $i] : ((~r1(Y!36, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))) | ((~r1(Y!36, X!37)) | (~((~r1(X!37, tptp_fun_Y_23(X!37))) | p11(tptp_fun_Y_23(X!37)) | (~![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X!37, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))),
% 6.43/4.44 inference(quant_inst,[status(thm)],[])).
% 6.43/4.44 tff(299,plain,
% 6.43/4.44 ((~![X: $i] : ((~r1(Y!36, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))))) | (~r1(Y!36, X!37)) | (~((~r1(X!37, tptp_fun_Y_23(X!37))) | (~![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | p11(tptp_fun_Y_23(X!37)) | (~![Y: $i] : ((~r1(X!37, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X))))))))))))))))))))))))))))))))))))))))))),
% 6.43/4.45 inference(modus_ponens,[status(thm)],[298, 297])).
% 6.43/4.45 tff(300,plain,
% 6.43/4.45 (~((~r1(X!37, tptp_fun_Y_23(X!37))) | (~![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | p11(tptp_fun_Y_23(X!37)) | (~![Y: $i] : ((~r1(X!37, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))))),
% 6.43/4.45 inference(unit_resolution,[status(thm)],[299, 173, 293])).
% 6.43/4.45 tff(301,plain,
% 6.43/4.45 (((~r1(X!37, tptp_fun_Y_23(X!37))) | (~![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | p11(tptp_fun_Y_23(X!37)) | (~![Y: $i] : ((~r1(X!37, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X))))))))))))))))))))))))))))))))))))))))) | ![Y: $i] : ((~r1(X!37, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))),
% 6.43/4.45 inference(tautology,[status(thm)],[])).
% 6.43/4.45 tff(302,plain,
% 6.43/4.45 (![Y: $i] : ((~r1(X!37, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))),
% 6.43/4.45 inference(unit_resolution,[status(thm)],[301, 300])).
% 6.43/4.45 tff(303,plain,
% 6.43/4.45 (((~![Y: $i] : ((~r1(X!37, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | 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$i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))) | ((~r1(X!37, Y!38)) | (~((~r1(Y!38, tptp_fun_X_24(Y!38))) | p10(tptp_fun_X_24(Y!38)) | (~![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y!38, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))) <=> ((~![Y: $i] : ((~r1(X!37, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))) | (~r1(X!37, Y!38)) | (~((~r1(Y!38, tptp_fun_X_24(Y!38))) | p10(tptp_fun_X_24(Y!38)) | (~![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y!38, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))),
% 6.43/4.45 inference(rewrite,[status(thm)],[])).
% 6.43/4.45 tff(304,plain,
% 6.43/4.45 ((~![Y: $i] : ((~r1(X!37, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))) | ((~r1(X!37, Y!38)) | (~((~r1(Y!38, tptp_fun_X_24(Y!38))) | p10(tptp_fun_X_24(Y!38)) | (~![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y!38, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))),
% 6.43/4.45 inference(quant_inst,[status(thm)],[])).
% 6.43/4.45 tff(305,plain,
% 6.43/4.45 ((~![Y: $i] : ((~r1(X!37, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))))) | (~r1(X!37, Y!38)) | (~((~r1(Y!38, tptp_fun_X_24(Y!38))) | p10(tptp_fun_X_24(Y!38)) | (~![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y!38, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X))))))))))))))))))))))))))))))))))))))),
% 6.43/4.46 inference(modus_ponens,[status(thm)],[304, 303])).
% 6.43/4.46 tff(306,plain,
% 6.43/4.46 (~((~r1(Y!38, tptp_fun_X_24(Y!38))) | p10(tptp_fun_X_24(Y!38)) | (~![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y!38, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))))),
% 6.43/4.46 inference(unit_resolution,[status(thm)],[305, 178, 302])).
% 6.43/4.46 tff(307,plain,
% 6.43/4.46 (((~r1(Y!38, tptp_fun_X_24(Y!38))) | p10(tptp_fun_X_24(Y!38)) | (~![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y!38, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X))))))))))))))))))))))))))))))))))))) | ![X: $i] : ((~r1(Y!38, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))),
% 6.43/4.46 inference(tautology,[status(thm)],[])).
% 6.43/4.46 tff(308,plain,
% 6.43/4.46 (![X: $i] : ((~r1(Y!38, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))),
% 6.43/4.46 inference(unit_resolution,[status(thm)],[307, 306])).
% 6.43/4.46 tff(309,plain,
% 6.43/4.46 (((~![X: $i] : ((~r1(Y!38, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))) | ((~r1(Y!38, X!39)) | (~((~r1(X!39, tptp_fun_Y_25(X!39))) | p9(tptp_fun_Y_25(X!39)) | (~![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X!39, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))) <=> ((~![X: $i] : ((~r1(Y!38, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))) | (~r1(Y!38, X!39)) | (~((~r1(X!39, tptp_fun_Y_25(X!39))) | p9(tptp_fun_Y_25(X!39)) | (~![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X!39, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))),
% 6.43/4.46 inference(rewrite,[status(thm)],[])).
% 6.43/4.46 tff(310,plain,
% 6.43/4.46 ((~![X: $i] : ((~r1(Y!38, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))) | ((~r1(Y!38, X!39)) | (~((~r1(X!39, tptp_fun_Y_25(X!39))) | p9(tptp_fun_Y_25(X!39)) | (~![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X!39, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))),
% 6.43/4.46 inference(quant_inst,[status(thm)],[])).
% 6.43/4.46 tff(311,plain,
% 6.43/4.46 ((~![X: $i] : ((~r1(Y!38, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))))) | (~r1(Y!38, X!39)) | (~((~r1(X!39, tptp_fun_Y_25(X!39))) | p9(tptp_fun_Y_25(X!39)) | (~![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X!39, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X))))))))))))))))))))))))))))))))))),
% 6.43/4.46 inference(modus_ponens,[status(thm)],[310, 309])).
% 6.43/4.46 tff(312,plain,
% 6.43/4.46 (~((~r1(X!39, tptp_fun_Y_25(X!39))) | p9(tptp_fun_Y_25(X!39)) | (~![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X!39, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))))),
% 6.43/4.46 inference(unit_resolution,[status(thm)],[311, 183, 308])).
% 6.43/4.46 tff(313,plain,
% 6.43/4.46 (((~r1(X!39, tptp_fun_Y_25(X!39))) | p9(tptp_fun_Y_25(X!39)) | (~![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X!39, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X))))))))))))))))))))))))))))))))) | ![Y: $i] : ((~r1(X!39, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))),
% 6.43/4.46 inference(tautology,[status(thm)],[])).
% 6.43/4.46 tff(314,plain,
% 6.43/4.46 (![Y: $i] : ((~r1(X!39, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))),
% 6.43/4.47 inference(unit_resolution,[status(thm)],[313, 312])).
% 6.43/4.47 tff(315,plain,
% 6.43/4.47 (((~![Y: $i] : ((~r1(X!39, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))) | ((~r1(X!39, Y!40)) | (~((~r1(Y!40, tptp_fun_X_26(Y!40))) | p8(tptp_fun_X_26(Y!40)) | (~![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y!40, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))) <=> ((~![Y: $i] : ((~r1(X!39, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))) | (~r1(X!39, Y!40)) | (~((~r1(Y!40, tptp_fun_X_26(Y!40))) | p8(tptp_fun_X_26(Y!40)) | (~![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y!40, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))),
% 6.43/4.47 inference(rewrite,[status(thm)],[])).
% 6.43/4.47 tff(316,plain,
% 6.43/4.47 ((~![Y: $i] : ((~r1(X!39, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))) | ((~r1(X!39, Y!40)) | (~((~r1(Y!40, tptp_fun_X_26(Y!40))) | p8(tptp_fun_X_26(Y!40)) | (~![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y!40, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))),
% 6.43/4.47 inference(quant_inst,[status(thm)],[])).
% 6.43/4.47 tff(317,plain,
% 6.43/4.47 ((~![Y: $i] : ((~r1(X!39, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))))) | (~r1(X!39, Y!40)) | (~((~r1(Y!40, tptp_fun_X_26(Y!40))) | p8(tptp_fun_X_26(Y!40)) | (~![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y!40, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X))))))))))))))))))))))))))))))),
% 6.43/4.47 inference(modus_ponens,[status(thm)],[316, 315])).
% 6.43/4.47 tff(318,plain,
% 6.43/4.47 (~((~r1(Y!40, tptp_fun_X_26(Y!40))) | p8(tptp_fun_X_26(Y!40)) | (~![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y!40, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))))),
% 6.43/4.47 inference(unit_resolution,[status(thm)],[317, 188, 314])).
% 6.43/4.47 tff(319,plain,
% 6.43/4.47 (((~r1(Y!40, tptp_fun_X_26(Y!40))) | p8(tptp_fun_X_26(Y!40)) | (~![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y!40, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X))))))))))))))))))))))))))))) | ![X: $i] : ((~r1(Y!40, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))),
% 6.43/4.47 inference(tautology,[status(thm)],[])).
% 6.43/4.47 tff(320,plain,
% 6.43/4.47 (![X: $i] : ((~r1(Y!40, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))),
% 6.43/4.47 inference(unit_resolution,[status(thm)],[319, 318])).
% 6.43/4.47 tff(321,plain,
% 6.43/4.47 (((~![X: $i] : ((~r1(Y!40, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))) | ((~r1(Y!40, X!41)) | (~((~r1(X!41, tptp_fun_Y_27(X!41))) | p7(tptp_fun_Y_27(X!41)) | (~![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X!41, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))) <=> ((~![X: $i] : ((~r1(Y!40, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))) | (~r1(Y!40, X!41)) | (~((~r1(X!41, tptp_fun_Y_27(X!41))) | p7(tptp_fun_Y_27(X!41)) | (~![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X!41, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))),
% 6.43/4.47 inference(rewrite,[status(thm)],[])).
% 6.43/4.47 tff(322,plain,
% 6.43/4.47 ((~![X: $i] : ((~r1(Y!40, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))) | ((~r1(Y!40, X!41)) | (~((~r1(X!41, tptp_fun_Y_27(X!41))) | p7(tptp_fun_Y_27(X!41)) | (~![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X!41, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))),
% 6.43/4.47 inference(quant_inst,[status(thm)],[])).
% 6.43/4.47 tff(323,plain,
% 6.43/4.47 ((~![X: $i] : ((~r1(Y!40, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))))) | (~r1(Y!40, X!41)) | (~((~r1(X!41, tptp_fun_Y_27(X!41))) | p7(tptp_fun_Y_27(X!41)) | (~![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X!41, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X))))))))))))))))))))))))))),
% 6.43/4.47 inference(modus_ponens,[status(thm)],[322, 321])).
% 6.43/4.47 tff(324,plain,
% 6.43/4.47 (~((~r1(X!41, tptp_fun_Y_27(X!41))) | p7(tptp_fun_Y_27(X!41)) | (~![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X!41, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))))),
% 6.43/4.48 inference(unit_resolution,[status(thm)],[323, 193, 320])).
% 6.43/4.48 tff(325,plain,
% 6.43/4.48 (((~r1(X!41, tptp_fun_Y_27(X!41))) | p7(tptp_fun_Y_27(X!41)) | (~![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X!41, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X))))))))))))))))))))))))) | ![Y: $i] : ((~r1(X!41, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))),
% 6.43/4.48 inference(tautology,[status(thm)],[])).
% 6.43/4.48 tff(326,plain,
% 6.43/4.48 (![Y: $i] : ((~r1(X!41, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))),
% 6.43/4.48 inference(unit_resolution,[status(thm)],[325, 324])).
% 6.43/4.48 tff(327,plain,
% 6.43/4.48 (((~![Y: $i] : ((~r1(X!41, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))) | ((~r1(X!41, Y!42)) | (~((~r1(Y!42, tptp_fun_X_28(Y!42))) | p6(tptp_fun_X_28(Y!42)) | (~![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y!42, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))) <=> ((~![Y: $i] : ((~r1(X!41, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))) | (~r1(X!41, Y!42)) | (~((~r1(Y!42, tptp_fun_X_28(Y!42))) | p6(tptp_fun_X_28(Y!42)) | (~![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y!42, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))),
% 6.47/4.48 inference(rewrite,[status(thm)],[])).
% 6.47/4.48 tff(328,plain,
% 6.47/4.48 ((~![Y: $i] : ((~r1(X!41, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))) | ((~r1(X!41, Y!42)) | (~((~r1(Y!42, tptp_fun_X_28(Y!42))) | p6(tptp_fun_X_28(Y!42)) | (~![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y!42, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))),
% 6.47/4.48 inference(quant_inst,[status(thm)],[])).
% 6.47/4.48 tff(329,plain,
% 6.47/4.48 ((~![Y: $i] : ((~r1(X!41, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))))) | (~r1(X!41, Y!42)) | (~((~r1(Y!42, tptp_fun_X_28(Y!42))) | p6(tptp_fun_X_28(Y!42)) | (~![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y!42, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X))))))))))))))))))))))),
% 6.47/4.48 inference(modus_ponens,[status(thm)],[328, 327])).
% 6.47/4.48 tff(330,plain,
% 6.47/4.48 (~((~r1(Y!42, tptp_fun_X_28(Y!42))) | p6(tptp_fun_X_28(Y!42)) | (~![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y!42, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))))),
% 6.47/4.48 inference(unit_resolution,[status(thm)],[329, 198, 326])).
% 6.47/4.48 tff(331,plain,
% 6.47/4.48 (((~r1(Y!42, tptp_fun_X_28(Y!42))) | p6(tptp_fun_X_28(Y!42)) | (~![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y!42, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X))))))))))))))))))))) | ![X: $i] : ((~r1(Y!42, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))),
% 6.47/4.48 inference(tautology,[status(thm)],[])).
% 6.47/4.48 tff(332,plain,
% 6.47/4.48 (![X: $i] : ((~r1(Y!42, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))),
% 6.47/4.48 inference(unit_resolution,[status(thm)],[331, 330])).
% 6.47/4.48 tff(333,plain,
% 6.47/4.48 (((~![X: $i] : ((~r1(Y!42, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))) | ((~r1(Y!42, X!43)) | (~((~r1(X!43, tptp_fun_Y_29(X!43))) | p5(tptp_fun_Y_29(X!43)) | (~![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X!43, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))) <=> ((~![X: $i] : ((~r1(Y!42, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))) | (~r1(Y!42, X!43)) | (~((~r1(X!43, tptp_fun_Y_29(X!43))) | p5(tptp_fun_Y_29(X!43)) | (~![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X!43, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))),
% 6.47/4.48 inference(rewrite,[status(thm)],[])).
% 6.47/4.48 tff(334,plain,
% 6.47/4.48 ((~![X: $i] : ((~r1(Y!42, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))) | ((~r1(Y!42, X!43)) | (~((~r1(X!43, tptp_fun_Y_29(X!43))) | p5(tptp_fun_Y_29(X!43)) | (~![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X!43, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))),
% 6.47/4.48 inference(quant_inst,[status(thm)],[])).
% 6.47/4.48 tff(335,plain,
% 6.47/4.48 ((~![X: $i] : ((~r1(Y!42, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))))) | (~r1(Y!42, X!43)) | (~((~r1(X!43, tptp_fun_Y_29(X!43))) | p5(tptp_fun_Y_29(X!43)) | (~![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X!43, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X))))))))))))))))))),
% 6.47/4.48 inference(modus_ponens,[status(thm)],[334, 333])).
% 6.47/4.48 tff(336,plain,
% 6.47/4.48 (~((~r1(X!43, tptp_fun_Y_29(X!43))) | p5(tptp_fun_Y_29(X!43)) | (~![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X!43, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))))),
% 6.47/4.48 inference(unit_resolution,[status(thm)],[335, 206, 332])).
% 6.47/4.48 tff(337,plain,
% 6.47/4.48 (((~r1(X!43, tptp_fun_Y_29(X!43))) | p5(tptp_fun_Y_29(X!43)) | (~![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X!43, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X))))))))))))))))) | ![Y: $i] : ((~r1(X!43, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))),
% 6.47/4.48 inference(tautology,[status(thm)],[])).
% 6.47/4.48 tff(338,plain,
% 6.47/4.48 (![Y: $i] : ((~r1(X!43, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))),
% 6.47/4.48 inference(unit_resolution,[status(thm)],[337, 336])).
% 6.47/4.48 tff(339,plain,
% 6.47/4.48 (((~![Y: $i] : ((~r1(X!43, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))) | ((~r1(X!43, Y!44)) | (~((~r1(Y!44, tptp_fun_X_30(Y!44))) | p4(tptp_fun_X_30(Y!44)) | (~![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y!44, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))) <=> ((~![Y: $i] : ((~r1(X!43, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))) | (~r1(X!43, Y!44)) | (~((~r1(Y!44, tptp_fun_X_30(Y!44))) | p4(tptp_fun_X_30(Y!44)) | (~![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y!44, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))),
% 6.47/4.48 inference(rewrite,[status(thm)],[])).
% 6.47/4.48 tff(340,plain,
% 6.47/4.48 ((~![Y: $i] : ((~r1(X!43, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))) | ((~r1(X!43, Y!44)) | (~((~r1(Y!44, tptp_fun_X_30(Y!44))) | p4(tptp_fun_X_30(Y!44)) | (~![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y!44, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))),
% 6.47/4.48 inference(quant_inst,[status(thm)],[])).
% 6.47/4.48 tff(341,plain,
% 6.47/4.48 ((~![Y: $i] : ((~r1(X!43, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))))) | (~r1(X!43, Y!44)) | (~((~r1(Y!44, tptp_fun_X_30(Y!44))) | p4(tptp_fun_X_30(Y!44)) | (~![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y!44, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X))))))))))))))),
% 6.47/4.48 inference(modus_ponens,[status(thm)],[340, 339])).
% 6.47/4.48 tff(342,plain,
% 6.47/4.48 (~((~r1(Y!44, tptp_fun_X_30(Y!44))) | p4(tptp_fun_X_30(Y!44)) | (~![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y!44, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))))),
% 6.47/4.48 inference(unit_resolution,[status(thm)],[341, 215, 338])).
% 6.47/4.48 tff(343,plain,
% 6.47/4.48 (((~r1(Y!44, tptp_fun_X_30(Y!44))) | p4(tptp_fun_X_30(Y!44)) | (~![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y!44, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X))))))))))))) | ![X: $i] : ((~r1(Y!44, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))),
% 6.47/4.48 inference(tautology,[status(thm)],[])).
% 6.47/4.48 tff(344,plain,
% 6.47/4.48 (![X: $i] : ((~r1(Y!44, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))),
% 6.47/4.48 inference(unit_resolution,[status(thm)],[343, 342])).
% 6.47/4.48 tff(345,plain,
% 6.47/4.48 (((~![X: $i] : ((~r1(Y!44, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))) | ((~r1(Y!44, X!45)) | (~((~r1(X!45, tptp_fun_Y_31(X!45))) | p3(tptp_fun_Y_31(X!45)) | (~![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))) <=> ((~![X: $i] : ((~r1(Y!44, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))) | (~r1(Y!44, X!45)) | (~((~r1(X!45, tptp_fun_Y_31(X!45))) | p3(tptp_fun_Y_31(X!45)) | (~![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))),
% 6.47/4.49 inference(rewrite,[status(thm)],[])).
% 6.47/4.49 tff(346,plain,
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% 6.47/4.49 inference(quant_inst,[status(thm)],[])).
% 6.47/4.49 tff(347,plain,
% 6.47/4.49 ((~![X: $i] : ((~r1(Y!44, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))))))) | (~r1(Y!44, X!45)) | (~((~r1(X!45, tptp_fun_Y_31(X!45))) | p3(tptp_fun_Y_31(X!45)) | (~![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X))))))))))),
% 6.47/4.49 inference(modus_ponens,[status(thm)],[346, 345])).
% 6.47/4.49 tff(348,plain,
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% 6.47/4.49 inference(unit_resolution,[status(thm)],[347, 224, 344])).
% 6.47/4.49 tff(349,plain,
% 6.47/4.49 (((~r1(X!45, tptp_fun_Y_31(X!45))) | p3(tptp_fun_Y_31(X!45)) | (~![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X))))))))) | ![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))),
% 6.47/4.49 inference(tautology,[status(thm)],[])).
% 6.47/4.49 tff(350,plain,
% 6.47/4.49 (![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))),
% 6.47/4.49 inference(unit_resolution,[status(thm)],[349, 348])).
% 6.47/4.49 tff(351,plain,
% 6.47/4.49 (((~![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))) | ((~r1(X!45, Y!46)) | ![X: $i] : ((~r1(Y!46, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))) <=> ((~![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))) | (~r1(X!45, Y!46)) | ![X: $i] : ((~r1(Y!46, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))),
% 6.47/4.49 inference(rewrite,[status(thm)],[])).
% 6.47/4.49 tff(352,plain,
% 6.47/4.49 ((~![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))) | ((~r1(X!45, Y!46)) | ![X: $i] : ((~r1(Y!46, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))),
% 6.47/4.49 inference(quant_inst,[status(thm)],[])).
% 6.47/4.49 tff(353,plain,
% 6.47/4.49 ((~![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X)))))))) | (~r1(X!45, Y!46)) | ![X: $i] : ((~r1(Y!46, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X))))))),
% 6.47/4.49 inference(modus_ponens,[status(thm)],[352, 351])).
% 6.47/4.49 tff(354,plain,
% 6.47/4.49 (![X: $i] : ((~r1(Y!46, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X))))))),
% 6.47/4.49 inference(unit_resolution,[status(thm)],[353, 233, 350])).
% 6.47/4.49 tff(355,plain,
% 6.47/4.49 (((~![X: $i] : ((~r1(Y!46, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X))))))) | ((~r1(Y!46, X!47)) | (~((~((~p2(X!47)) | (~p1(X!47)))) | (~(p1(X!47) | p2(X!47))))))) <=> ((~![X: $i] : ((~r1(Y!46, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X))))))) | (~r1(Y!46, X!47)) | (~((~((~p2(X!47)) | (~p1(X!47)))) | (~(p1(X!47) | p2(X!47))))))),
% 6.47/4.49 inference(rewrite,[status(thm)],[])).
% 6.47/4.49 tff(356,plain,
% 6.47/4.49 ((~![X: $i] : ((~r1(Y!46, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X))))))) | ((~r1(Y!46, X!47)) | (~((~((~p2(X!47)) | (~p1(X!47)))) | (~(p1(X!47) | p2(X!47))))))),
% 6.47/4.49 inference(quant_inst,[status(thm)],[])).
% 6.47/4.49 tff(357,plain,
% 6.47/4.49 ((~![X: $i] : ((~r1(Y!46, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X))))))) | (~r1(Y!46, X!47)) | (~((~((~p2(X!47)) | (~p1(X!47)))) | (~(p1(X!47) | p2(X!47)))))),
% 6.47/4.49 inference(modus_ponens,[status(thm)],[356, 355])).
% 6.47/4.49 tff(358,plain,
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% 6.47/4.49 inference(unit_resolution,[status(thm)],[357, 241, 354, 258])).
% 6.47/4.49 tff(359,plain,(~((~((~p2(X!47)) | (~p1(X!47)))) | (~(p1(X!47) | p2(X!47))))), inference(lemma,lemma(discharge,[]))).
% 6.47/4.49 tff(360,plain,
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% 6.47/4.49 inference(tautology,[status(thm)],[])).
% 6.47/4.49 tff(361,plain,
% 6.47/4.49 ((~p2(X!47)) | (~p1(X!47))),
% 6.47/4.49 inference(unit_resolution,[status(thm)],[360, 359])).
% 6.47/4.49 tff(362,plain,
% 6.47/4.49 ((~((~p2(X!47)) | (~p1(X!47)))) | (~p2(X!47)) | (~p1(X!47))),
% 6.47/4.49 inference(tautology,[status(thm)],[])).
% 6.47/4.49 tff(363,plain,
% 6.47/4.49 ((~p2(X!47)) | (~p1(X!47))),
% 6.47/4.49 inference(unit_resolution,[status(thm)],[362, 361])).
% 6.47/4.49 tff(364,plain,
% 6.47/4.49 (~p2(X!47)),
% 6.47/4.49 inference(unit_resolution,[status(thm)],[363, 257])).
% 6.47/4.49 tff(365,assumption,((~((~p2(X!47)) | (~p3(X!47)))) | (~(p2(X!47) | p3(X!47)))), introduced(assumption)).
% 6.47/4.49 tff(366,plain,
% 6.47/4.49 (((~r1(X!45, tptp_fun_Y_31(X!45))) | p3(tptp_fun_Y_31(X!45)) | (~![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X))))))))) | ![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))),
% 6.47/4.49 inference(tautology,[status(thm)],[])).
% 6.47/4.49 tff(367,plain,
% 6.47/4.49 (![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))),
% 6.47/4.49 inference(unit_resolution,[status(thm)],[366, 348])).
% 6.47/4.49 tff(368,plain,
% 6.47/4.49 (((~![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | ((~r1(X!45, Y!46)) | ![X: $i] : ((~r1(Y!46, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) <=> ((~![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~r1(X!45, Y!46)) | ![X: $i] : ((~r1(Y!46, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))),
% 6.47/4.49 inference(rewrite,[status(thm)],[])).
% 6.47/4.49 tff(369,plain,
% 6.47/4.49 ((~![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | ((~r1(X!45, Y!46)) | ![X: $i] : ((~r1(Y!46, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))),
% 6.47/4.49 inference(quant_inst,[status(thm)],[])).
% 6.47/4.49 tff(370,plain,
% 6.47/4.49 ((~![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~r1(X!45, Y!46)) | ![X: $i] : ((~r1(Y!46, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X))))))),
% 6.47/4.49 inference(modus_ponens,[status(thm)],[369, 368])).
% 6.47/4.49 tff(371,plain,
% 6.47/4.49 (![X: $i] : ((~r1(Y!46, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X))))))),
% 6.47/4.49 inference(unit_resolution,[status(thm)],[370, 233, 367])).
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% 6.47/4.49 (((~![X: $i] : ((~r1(Y!46, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X))))))) | ((~r1(Y!46, X!47)) | (~((~((~p2(X!47)) | (~p3(X!47)))) | (~(p2(X!47) | p3(X!47))))))) <=> ((~![X: $i] : ((~r1(Y!46, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X))))))) | (~r1(Y!46, X!47)) | (~((~((~p2(X!47)) | (~p3(X!47)))) | (~(p2(X!47) | p3(X!47))))))),
% 6.47/4.49 inference(rewrite,[status(thm)],[])).
% 6.47/4.49 tff(373,plain,
% 6.47/4.49 ((~![X: $i] : ((~r1(Y!46, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X))))))) | ((~r1(Y!46, X!47)) | (~((~((~p2(X!47)) | (~p3(X!47)))) | (~(p2(X!47) | p3(X!47))))))),
% 6.47/4.49 inference(quant_inst,[status(thm)],[])).
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% 6.47/4.49 inference(modus_ponens,[status(thm)],[373, 372])).
% 6.47/4.49 tff(375,plain,
% 6.47/4.49 ($false),
% 6.47/4.49 inference(unit_resolution,[status(thm)],[374, 241, 371, 365])).
% 6.47/4.49 tff(376,plain,(~((~((~p2(X!47)) | (~p3(X!47)))) | (~(p2(X!47) | p3(X!47))))), inference(lemma,lemma(discharge,[]))).
% 6.47/4.49 tff(377,plain,
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% 6.47/4.49 inference(tautology,[status(thm)],[])).
% 6.47/4.49 tff(378,plain,
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% 6.47/4.49 inference(unit_resolution,[status(thm)],[377, 376])).
% 6.47/4.49 tff(379,plain,
% 6.47/4.49 ((~(p2(X!47) | p3(X!47))) | p2(X!47) | p3(X!47)),
% 6.47/4.49 inference(tautology,[status(thm)],[])).
% 6.47/4.49 tff(380,plain,
% 6.47/4.49 (p2(X!47) | p3(X!47)),
% 6.47/4.49 inference(unit_resolution,[status(thm)],[379, 378])).
% 6.47/4.49 tff(381,plain,
% 6.47/4.49 (p3(X!47)),
% 6.47/4.49 inference(unit_resolution,[status(thm)],[380, 364])).
% 6.47/4.49 tff(382,assumption,((~((~p4(X!47)) | (~p3(X!47)))) | (~(p3(X!47) | p4(X!47)))), introduced(assumption)).
% 6.47/4.49 tff(383,plain,
% 6.47/4.49 (((~r1(Y!44, tptp_fun_X_30(Y!44))) | p4(tptp_fun_X_30(Y!44)) | (~![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y!44, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X))))))))))))) | ![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))),
% 6.47/4.49 inference(tautology,[status(thm)],[])).
% 6.47/4.49 tff(384,plain,
% 6.47/4.49 (![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))),
% 6.47/4.49 inference(unit_resolution,[status(thm)],[383, 342])).
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% 6.47/4.49 (((~![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | ((~r1(Y!44, X!45)) | ![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) <=> ((~![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~r1(Y!44, X!45)) | ![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))),
% 6.47/4.49 inference(rewrite,[status(thm)],[])).
% 6.47/4.49 tff(386,plain,
% 6.47/4.49 ((~![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | ((~r1(Y!44, X!45)) | ![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))),
% 6.47/4.49 inference(quant_inst,[status(thm)],[])).
% 6.47/4.49 tff(387,plain,
% 6.47/4.49 ((~![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~r1(Y!44, X!45)) | ![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X)))))))),
% 6.47/4.49 inference(modus_ponens,[status(thm)],[386, 385])).
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% 6.47/4.49 (![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X)))))))),
% 6.47/4.49 inference(unit_resolution,[status(thm)],[387, 224, 384])).
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% 6.47/4.49 inference(rewrite,[status(thm)],[])).
% 6.47/4.49 tff(390,plain,
% 6.47/4.49 ((~![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X)))))))) | ((~r1(X!45, Y!46)) | ![X: $i] : ((~r1(Y!46, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X)))))))),
% 6.47/4.49 inference(quant_inst,[status(thm)],[])).
% 6.47/4.49 tff(391,plain,
% 6.47/4.49 ((~![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X)))))))) | (~r1(X!45, Y!46)) | ![X: $i] : ((~r1(Y!46, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))),
% 6.47/4.49 inference(modus_ponens,[status(thm)],[390, 389])).
% 6.47/4.49 tff(392,plain,
% 6.47/4.49 (![X: $i] : ((~r1(Y!46, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))),
% 6.47/4.49 inference(unit_resolution,[status(thm)],[391, 233, 388])).
% 6.47/4.49 tff(393,plain,
% 6.47/4.49 (((~![X: $i] : ((~r1(Y!46, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))) | ((~r1(Y!46, X!47)) | (~((~((~p4(X!47)) | (~p3(X!47)))) | (~(p3(X!47) | p4(X!47))))))) <=> ((~![X: $i] : ((~r1(Y!46, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))) | (~r1(Y!46, X!47)) | (~((~((~p4(X!47)) | (~p3(X!47)))) | (~(p3(X!47) | p4(X!47))))))),
% 6.47/4.49 inference(rewrite,[status(thm)],[])).
% 6.47/4.49 tff(394,plain,
% 6.47/4.49 ((~![X: $i] : ((~r1(Y!46, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))) | ((~r1(Y!46, X!47)) | (~((~((~p4(X!47)) | (~p3(X!47)))) | (~(p3(X!47) | p4(X!47))))))),
% 6.47/4.49 inference(quant_inst,[status(thm)],[])).
% 6.47/4.49 tff(395,plain,
% 6.47/4.49 ((~![X: $i] : ((~r1(Y!46, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))) | (~r1(Y!46, X!47)) | (~((~((~p4(X!47)) | (~p3(X!47)))) | (~(p3(X!47) | p4(X!47)))))),
% 6.47/4.49 inference(modus_ponens,[status(thm)],[394, 393])).
% 6.47/4.49 tff(396,plain,
% 6.47/4.49 ($false),
% 6.47/4.49 inference(unit_resolution,[status(thm)],[395, 241, 392, 382])).
% 6.47/4.49 tff(397,plain,(~((~((~p4(X!47)) | (~p3(X!47)))) | (~(p3(X!47) | p4(X!47))))), inference(lemma,lemma(discharge,[]))).
% 6.47/4.49 tff(398,plain,
% 6.47/4.49 (((~((~p4(X!47)) | (~p3(X!47)))) | (~(p3(X!47) | p4(X!47)))) | ((~p4(X!47)) | (~p3(X!47)))),
% 6.47/4.49 inference(tautology,[status(thm)],[])).
% 6.47/4.49 tff(399,plain,
% 6.47/4.49 ((~p4(X!47)) | (~p3(X!47))),
% 6.47/4.49 inference(unit_resolution,[status(thm)],[398, 397])).
% 6.47/4.49 tff(400,plain,
% 6.47/4.49 ((~((~p4(X!47)) | (~p3(X!47)))) | (~p4(X!47)) | (~p3(X!47))),
% 6.47/4.49 inference(tautology,[status(thm)],[])).
% 6.47/4.49 tff(401,plain,
% 6.47/4.49 ((~p4(X!47)) | (~p3(X!47))),
% 6.47/4.49 inference(unit_resolution,[status(thm)],[400, 399])).
% 6.47/4.49 tff(402,plain,
% 6.47/4.49 (~p4(X!47)),
% 6.47/4.49 inference(unit_resolution,[status(thm)],[401, 381])).
% 6.47/4.49 tff(403,assumption,((~((~p4(X!47)) | (~p5(X!47)))) | (~(p4(X!47) | p5(X!47)))), introduced(assumption)).
% 6.47/4.49 tff(404,plain,
% 6.47/4.49 (((~r1(X!43, tptp_fun_Y_29(X!43))) | p5(tptp_fun_Y_29(X!43)) | (~![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X!43, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X))))))))))))))))) | ![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))),
% 6.47/4.49 inference(tautology,[status(thm)],[])).
% 6.47/4.49 tff(405,plain,
% 6.47/4.49 (![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))),
% 6.47/4.49 inference(unit_resolution,[status(thm)],[404, 336])).
% 6.47/4.49 tff(406,plain,
% 6.47/4.49 (((~![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | ((~r1(X!43, Y!44)) | ![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) <=> ((~![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~r1(X!43, Y!44)) | ![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))),
% 6.47/4.49 inference(rewrite,[status(thm)],[])).
% 6.47/4.49 tff(407,plain,
% 6.47/4.49 ((~![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | ((~r1(X!43, Y!44)) | ![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))),
% 6.47/4.49 inference(quant_inst,[status(thm)],[])).
% 6.47/4.49 tff(408,plain,
% 6.47/4.49 ((~![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~r1(X!43, Y!44)) | ![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X))))))))),
% 6.47/4.49 inference(modus_ponens,[status(thm)],[407, 406])).
% 6.47/4.49 tff(409,plain,
% 6.47/4.49 (![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X))))))))),
% 6.47/4.49 inference(unit_resolution,[status(thm)],[408, 215, 405])).
% 6.47/4.49 tff(410,plain,
% 6.47/4.49 (((~![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X))))))))) | ((~r1(Y!44, X!45)) | ![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X))))))))) <=> ((~![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X))))))))) | (~r1(Y!44, X!45)) | ![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X))))))))),
% 6.47/4.49 inference(rewrite,[status(thm)],[])).
% 6.47/4.49 tff(411,plain,
% 6.47/4.49 ((~![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X))))))))) | ((~r1(Y!44, X!45)) | ![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X))))))))),
% 6.47/4.49 inference(quant_inst,[status(thm)],[])).
% 6.47/4.49 tff(412,plain,
% 6.47/4.49 ((~![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X))))))))) | (~r1(Y!44, X!45)) | ![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))),
% 6.47/4.49 inference(modus_ponens,[status(thm)],[411, 410])).
% 6.47/4.49 tff(413,plain,
% 6.47/4.49 (![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))),
% 6.47/4.49 inference(unit_resolution,[status(thm)],[412, 224, 409])).
% 6.47/4.49 tff(414,plain,
% 6.47/4.49 (((~![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))) | ((~r1(X!45, Y!46)) | ![X: $i] : ((~r1(Y!46, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))) <=> ((~![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))) | (~r1(X!45, Y!46)) | ![X: $i] : ((~r1(Y!46, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))),
% 6.47/4.49 inference(rewrite,[status(thm)],[])).
% 6.47/4.49 tff(415,plain,
% 6.47/4.49 ((~![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))) | ((~r1(X!45, Y!46)) | ![X: $i] : ((~r1(Y!46, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))),
% 6.47/4.49 inference(quant_inst,[status(thm)],[])).
% 6.47/4.49 tff(416,plain,
% 6.47/4.49 ((~![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))) | (~r1(X!45, Y!46)) | ![X: $i] : ((~r1(Y!46, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X))))))),
% 6.47/4.49 inference(modus_ponens,[status(thm)],[415, 414])).
% 6.47/4.49 tff(417,plain,
% 6.47/4.49 (![X: $i] : ((~r1(Y!46, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X))))))),
% 6.47/4.49 inference(unit_resolution,[status(thm)],[416, 233, 413])).
% 6.47/4.49 tff(418,plain,
% 6.47/4.49 (((~![X: $i] : ((~r1(Y!46, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X))))))) | ((~r1(Y!46, X!47)) | (~((~((~p4(X!47)) | (~p5(X!47)))) | (~(p4(X!47) | p5(X!47))))))) <=> ((~![X: $i] : ((~r1(Y!46, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X))))))) | (~r1(Y!46, X!47)) | (~((~((~p4(X!47)) | (~p5(X!47)))) | (~(p4(X!47) | p5(X!47))))))),
% 6.47/4.49 inference(rewrite,[status(thm)],[])).
% 6.47/4.49 tff(419,plain,
% 6.47/4.49 ((~![X: $i] : ((~r1(Y!46, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X))))))) | ((~r1(Y!46, X!47)) | (~((~((~p4(X!47)) | (~p5(X!47)))) | (~(p4(X!47) | p5(X!47))))))),
% 6.47/4.49 inference(quant_inst,[status(thm)],[])).
% 6.47/4.49 tff(420,plain,
% 6.47/4.49 ((~![X: $i] : ((~r1(Y!46, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X))))))) | (~r1(Y!46, X!47)) | (~((~((~p4(X!47)) | (~p5(X!47)))) | (~(p4(X!47) | p5(X!47)))))),
% 6.47/4.49 inference(modus_ponens,[status(thm)],[419, 418])).
% 6.47/4.49 tff(421,plain,
% 6.47/4.49 ($false),
% 6.47/4.49 inference(unit_resolution,[status(thm)],[420, 241, 417, 403])).
% 6.47/4.49 tff(422,plain,(~((~((~p4(X!47)) | (~p5(X!47)))) | (~(p4(X!47) | p5(X!47))))), inference(lemma,lemma(discharge,[]))).
% 6.47/4.49 tff(423,plain,
% 6.47/4.49 (((~((~p4(X!47)) | (~p5(X!47)))) | (~(p4(X!47) | p5(X!47)))) | (p4(X!47) | p5(X!47))),
% 6.47/4.49 inference(tautology,[status(thm)],[])).
% 6.47/4.49 tff(424,plain,
% 6.47/4.49 (p4(X!47) | p5(X!47)),
% 6.47/4.49 inference(unit_resolution,[status(thm)],[423, 422])).
% 6.47/4.49 tff(425,plain,
% 6.47/4.49 ((~(p4(X!47) | p5(X!47))) | p4(X!47) | p5(X!47)),
% 6.47/4.49 inference(tautology,[status(thm)],[])).
% 6.47/4.49 tff(426,plain,
% 6.47/4.49 (p4(X!47) | p5(X!47)),
% 6.47/4.49 inference(unit_resolution,[status(thm)],[425, 424])).
% 6.47/4.49 tff(427,plain,
% 6.47/4.49 (p5(X!47)),
% 6.47/4.49 inference(unit_resolution,[status(thm)],[426, 402])).
% 6.47/4.49 tff(428,assumption,((~(p5(X!47) | p6(X!47))) | (~((~p5(X!47)) | (~p6(X!47))))), introduced(assumption)).
% 6.47/4.49 tff(429,plain,
% 6.47/4.49 (((~r1(Y!42, tptp_fun_X_28(Y!42))) | p6(tptp_fun_X_28(Y!42)) | (~![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y!42, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X))))))))))))))))))))) | ![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))),
% 6.47/4.49 inference(tautology,[status(thm)],[])).
% 6.47/4.49 tff(430,plain,
% 6.47/4.49 (![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))),
% 6.47/4.49 inference(unit_resolution,[status(thm)],[429, 330])).
% 6.47/4.49 tff(431,plain,
% 6.47/4.49 (((~![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | ((~r1(Y!42, X!43)) | ![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) <=> ((~![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~r1(Y!42, X!43)) | ![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))),
% 6.47/4.49 inference(rewrite,[status(thm)],[])).
% 6.47/4.49 tff(432,plain,
% 6.47/4.49 ((~![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | ((~r1(Y!42, X!43)) | ![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))),
% 6.47/4.49 inference(quant_inst,[status(thm)],[])).
% 6.47/4.49 tff(433,plain,
% 6.47/4.49 ((~![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~r1(Y!42, X!43)) | ![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X)))))))))),
% 6.47/4.49 inference(modus_ponens,[status(thm)],[432, 431])).
% 6.47/4.49 tff(434,plain,
% 6.47/4.49 (![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X)))))))))),
% 6.47/4.49 inference(unit_resolution,[status(thm)],[433, 206, 430])).
% 6.47/4.49 tff(435,plain,
% 6.47/4.49 (((~![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X)))))))))) | ((~r1(X!43, Y!44)) | ![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X)))))))))) <=> ((~![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X)))))))))) | (~r1(X!43, Y!44)) | ![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X)))))))))),
% 6.47/4.49 inference(rewrite,[status(thm)],[])).
% 6.47/4.49 tff(436,plain,
% 6.47/4.49 ((~![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X)))))))))) | ((~r1(X!43, Y!44)) | ![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X)))))))))),
% 6.47/4.49 inference(quant_inst,[status(thm)],[])).
% 6.47/4.49 tff(437,plain,
% 6.47/4.49 ((~![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X)))))))))) | (~r1(X!43, Y!44)) | ![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))),
% 6.47/4.49 inference(modus_ponens,[status(thm)],[436, 435])).
% 6.47/4.49 tff(438,plain,
% 6.47/4.49 (![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))),
% 6.47/4.49 inference(unit_resolution,[status(thm)],[437, 215, 434])).
% 6.47/4.49 tff(439,plain,
% 6.47/4.49 (((~![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))) | ((~r1(Y!44, X!45)) | ![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))) <=> ((~![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))) | (~r1(Y!44, X!45)) | ![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))),
% 6.47/4.49 inference(rewrite,[status(thm)],[])).
% 6.47/4.49 tff(440,plain,
% 6.47/4.49 ((~![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))) | ((~r1(Y!44, X!45)) | ![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))),
% 6.47/4.49 inference(quant_inst,[status(thm)],[])).
% 6.47/4.49 tff(441,plain,
% 6.47/4.49 ((~![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))) | (~r1(Y!44, X!45)) | ![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X)))))))),
% 6.47/4.49 inference(modus_ponens,[status(thm)],[440, 439])).
% 6.47/4.49 tff(442,plain,
% 6.47/4.49 (![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X)))))))),
% 6.47/4.49 inference(unit_resolution,[status(thm)],[441, 224, 438])).
% 6.47/4.49 tff(443,plain,
% 6.47/4.49 (((~![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X)))))))) | ((~r1(X!45, Y!46)) | ![X: $i] : ((~r1(Y!46, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X)))))))) <=> ((~![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X)))))))) | (~r1(X!45, Y!46)) | ![X: $i] : ((~r1(Y!46, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X)))))))),
% 6.47/4.49 inference(rewrite,[status(thm)],[])).
% 6.47/4.49 tff(444,plain,
% 6.47/4.49 ((~![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X)))))))) | ((~r1(X!45, Y!46)) | ![X: $i] : ((~r1(Y!46, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X)))))))),
% 6.47/4.49 inference(quant_inst,[status(thm)],[])).
% 6.47/4.49 tff(445,plain,
% 6.47/4.49 ((~![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X)))))))) | (~r1(X!45, Y!46)) | ![X: $i] : ((~r1(Y!46, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))),
% 6.47/4.49 inference(modus_ponens,[status(thm)],[444, 443])).
% 6.47/4.49 tff(446,plain,
% 6.47/4.49 (![X: $i] : ((~r1(Y!46, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))),
% 6.47/4.49 inference(unit_resolution,[status(thm)],[445, 233, 442])).
% 6.47/4.49 tff(447,plain,
% 6.47/4.49 (((~![X: $i] : ((~r1(Y!46, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))) | ((~r1(Y!46, X!47)) | (~((~(p5(X!47) | p6(X!47))) | (~((~p5(X!47)) | (~p6(X!47)))))))) <=> ((~![X: $i] : ((~r1(Y!46, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))) | (~r1(Y!46, X!47)) | (~((~(p5(X!47) | p6(X!47))) | (~((~p5(X!47)) | (~p6(X!47)))))))),
% 6.47/4.49 inference(rewrite,[status(thm)],[])).
% 6.47/4.49 tff(448,plain,
% 6.47/4.49 (((~r1(Y!46, X!47)) | (~((~((~p6(X!47)) | (~p5(X!47)))) | (~(p5(X!47) | p6(X!47)))))) <=> ((~r1(Y!46, X!47)) | (~((~(p5(X!47) | p6(X!47))) | (~((~p5(X!47)) | (~p6(X!47)))))))),
% 6.47/4.49 inference(rewrite,[status(thm)],[])).
% 6.47/4.49 tff(449,plain,
% 6.47/4.49 (((~![X: $i] : ((~r1(Y!46, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))) | ((~r1(Y!46, X!47)) | (~((~((~p6(X!47)) | (~p5(X!47)))) | (~(p5(X!47) | p6(X!47))))))) <=> ((~![X: $i] : ((~r1(Y!46, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))) | ((~r1(Y!46, X!47)) | (~((~(p5(X!47) | p6(X!47))) | (~((~p5(X!47)) | (~p6(X!47))))))))),
% 6.47/4.49 inference(monotonicity,[status(thm)],[448])).
% 6.47/4.49 tff(450,plain,
% 6.47/4.49 (((~![X: $i] : ((~r1(Y!46, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))) | ((~r1(Y!46, X!47)) | (~((~((~p6(X!47)) | (~p5(X!47)))) | (~(p5(X!47) | p6(X!47))))))) <=> ((~![X: $i] : ((~r1(Y!46, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))) | (~r1(Y!46, X!47)) | (~((~(p5(X!47) | p6(X!47))) | (~((~p5(X!47)) | (~p6(X!47)))))))),
% 6.47/4.49 inference(transitivity,[status(thm)],[449, 447])).
% 6.47/4.50 tff(451,plain,
% 6.47/4.50 ((~![X: $i] : ((~r1(Y!46, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))) | ((~r1(Y!46, X!47)) | (~((~((~p6(X!47)) | (~p5(X!47)))) | (~(p5(X!47) | p6(X!47))))))),
% 6.47/4.50 inference(quant_inst,[status(thm)],[])).
% 6.47/4.50 tff(452,plain,
% 6.47/4.50 ((~![X: $i] : ((~r1(Y!46, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))) | (~r1(Y!46, X!47)) | (~((~(p5(X!47) | p6(X!47))) | (~((~p5(X!47)) | (~p6(X!47))))))),
% 6.47/4.50 inference(modus_ponens,[status(thm)],[451, 450])).
% 6.47/4.50 tff(453,plain,
% 6.47/4.50 ($false),
% 6.47/4.50 inference(unit_resolution,[status(thm)],[452, 241, 446, 428])).
% 6.47/4.50 tff(454,plain,(~((~(p5(X!47) | p6(X!47))) | (~((~p5(X!47)) | (~p6(X!47)))))), inference(lemma,lemma(discharge,[]))).
% 6.47/4.50 tff(455,plain,
% 6.47/4.50 (((~(p5(X!47) | p6(X!47))) | (~((~p5(X!47)) | (~p6(X!47))))) | ((~p5(X!47)) | (~p6(X!47)))),
% 6.47/4.50 inference(tautology,[status(thm)],[])).
% 6.47/4.50 tff(456,plain,
% 6.47/4.50 ((~p5(X!47)) | (~p6(X!47))),
% 6.47/4.50 inference(unit_resolution,[status(thm)],[455, 454])).
% 6.47/4.50 tff(457,plain,
% 6.47/4.50 ((~((~p5(X!47)) | (~p6(X!47)))) | (~p5(X!47)) | (~p6(X!47))),
% 6.47/4.50 inference(tautology,[status(thm)],[])).
% 6.47/4.50 tff(458,plain,
% 6.47/4.50 ((~p5(X!47)) | (~p6(X!47))),
% 6.47/4.50 inference(unit_resolution,[status(thm)],[457, 456])).
% 6.47/4.50 tff(459,plain,
% 6.47/4.50 (~p6(X!47)),
% 6.47/4.50 inference(unit_resolution,[status(thm)],[458, 427])).
% 6.47/4.50 tff(460,assumption,((~((~p6(X!47)) | (~p7(X!47)))) | (~(p6(X!47) | p7(X!47)))), introduced(assumption)).
% 6.47/4.50 tff(461,plain,
% 6.47/4.50 (((~r1(X!41, tptp_fun_Y_27(X!41))) | p7(tptp_fun_Y_27(X!41)) | (~![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X!41, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X))))))))))))))))))))))))) | ![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))),
% 6.47/4.50 inference(tautology,[status(thm)],[])).
% 6.47/4.50 tff(462,plain,
% 6.47/4.50 (![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))),
% 6.47/4.50 inference(unit_resolution,[status(thm)],[461, 324])).
% 6.47/4.50 tff(463,plain,
% 6.47/4.50 (((~![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | ((~r1(X!41, Y!42)) | ![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) <=> ((~![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~r1(X!41, Y!42)) | ![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))),
% 6.47/4.50 inference(rewrite,[status(thm)],[])).
% 6.47/4.50 tff(464,plain,
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% 6.47/4.50 inference(quant_inst,[status(thm)],[])).
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% 6.47/4.50 inference(modus_ponens,[status(thm)],[464, 463])).
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% 6.47/4.50 inference(unit_resolution,[status(thm)],[465, 198, 462])).
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% 6.47/4.50 inference(rewrite,[status(thm)],[])).
% 6.47/4.50 tff(468,plain,
% 6.47/4.50 ((~![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X))))))))))) | ((~r1(Y!42, X!43)) | ![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X))))))))))),
% 6.47/4.50 inference(quant_inst,[status(thm)],[])).
% 6.47/4.50 tff(469,plain,
% 6.47/4.50 ((~![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X))))))))))) | (~r1(Y!42, X!43)) | ![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))),
% 6.47/4.50 inference(modus_ponens,[status(thm)],[468, 467])).
% 6.47/4.50 tff(470,plain,
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% 6.47/4.50 inference(unit_resolution,[status(thm)],[469, 206, 466])).
% 6.47/4.50 tff(471,plain,
% 6.47/4.50 (((~![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))) | ((~r1(X!43, Y!44)) | ![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))) <=> ((~![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))) | (~r1(X!43, Y!44)) | ![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))),
% 6.47/4.50 inference(rewrite,[status(thm)],[])).
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% 6.47/4.50 inference(quant_inst,[status(thm)],[])).
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% 6.47/4.50 inference(modus_ponens,[status(thm)],[472, 471])).
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% 6.47/4.50 inference(unit_resolution,[status(thm)],[473, 215, 470])).
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% 6.47/4.50 inference(rewrite,[status(thm)],[])).
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% 6.47/4.50 inference(quant_inst,[status(thm)],[])).
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% 6.47/4.50 inference(modus_ponens,[status(thm)],[476, 475])).
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% 6.47/4.50 inference(unit_resolution,[status(thm)],[477, 224, 474])).
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% 6.47/4.50 inference(rewrite,[status(thm)],[])).
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% 6.47/4.50 inference(quant_inst,[status(thm)],[])).
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% 6.47/4.50 inference(rewrite,[status(thm)],[])).
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% 6.47/4.50 inference(quant_inst,[status(thm)],[])).
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% 6.47/4.50 inference(modus_ponens,[status(thm)],[484, 483])).
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% 6.47/4.50 tff(487,plain,(~((~((~p6(X!47)) | (~p7(X!47)))) | (~(p6(X!47) | p7(X!47))))), inference(lemma,lemma(discharge,[]))).
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% 6.47/4.50 inference(tautology,[status(thm)],[])).
% 6.47/4.50 tff(489,plain,
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% 6.47/4.50 inference(tautology,[status(thm)],[])).
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% 6.47/4.50 inference(unit_resolution,[status(thm)],[491, 459])).
% 6.47/4.50 tff(493,assumption,((~((~p14(X!47)) | (~p15(X!47)))) | (~(p14(X!47) | p15(X!47)))), introduced(assumption)).
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% 6.47/4.50 ((p15(tptp_fun_Y_19(X!33)) | (~r1(X!33, tptp_fun_Y_19(X!33))) | (~![Y: $i] : ((~r1(X!33, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X!33, Y)) | (~((~r1(Y, tptp_fun_X_20(Y))) | p14(tptp_fun_X_20(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_21(X))) | p13(tptp_fun_Y_21(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | ![Y: $i] : ((~r1(X!33, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))),
% 6.47/4.50 inference(tautology,[status(thm)],[])).
% 6.47/4.50 tff(495,plain,
% 6.47/4.50 (![Y: $i] : ((~r1(X!33, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))),
% 6.47/4.50 inference(unit_resolution,[status(thm)],[494, 267])).
% 6.47/4.50 tff(496,plain,
% 6.47/4.50 (((~![Y: $i] : ((~r1(X!33, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))) | ((~r1(X!33, Y!34)) | ![X: $i] : ((~r1(Y!34, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))) <=> ((~![Y: $i] : ((~r1(X!33, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))) | (~r1(X!33, Y!34)) | ![X: $i] : ((~r1(Y!34, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))),
% 6.47/4.50 inference(rewrite,[status(thm)],[])).
% 6.47/4.50 tff(497,plain,
% 6.47/4.50 ((~![Y: $i] : ((~r1(X!33, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))) | ((~r1(X!33, Y!34)) | ![X: $i] : ((~r1(Y!34, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))),
% 6.47/4.50 inference(quant_inst,[status(thm)],[])).
% 6.47/4.50 tff(498,plain,
% 6.47/4.50 ((~![Y: $i] : ((~r1(X!33, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))))) | (~r1(X!33, Y!34)) | ![X: $i] : ((~r1(Y!34, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X))))))))))))))))))),
% 6.47/4.50 inference(modus_ponens,[status(thm)],[497, 496])).
% 6.47/4.50 tff(499,plain,
% 6.47/4.50 (![X: $i] : ((~r1(Y!34, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X))))))))))))))))))),
% 6.47/4.50 inference(unit_resolution,[status(thm)],[498, 158, 495])).
% 6.47/4.50 tff(500,plain,
% 6.47/4.50 (((~![X: $i] : ((~r1(Y!34, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X))))))))))))))))))) | ((~r1(Y!34, X!35)) | ![Y: $i] : ((~r1(X!35, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X))))))))))))))))))) <=> ((~![X: $i] : ((~r1(Y!34, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X))))))))))))))))))) | (~r1(Y!34, X!35)) | ![Y: $i] : ((~r1(X!35, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X))))))))))))))))))),
% 6.47/4.50 inference(rewrite,[status(thm)],[])).
% 6.47/4.50 tff(501,plain,
% 6.47/4.50 ((~![X: $i] : ((~r1(Y!34, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X))))))))))))))))))) | ((~r1(Y!34, X!35)) | ![Y: $i] : ((~r1(X!35, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X))))))))))))))))))),
% 6.47/4.50 inference(quant_inst,[status(thm)],[])).
% 6.47/4.50 tff(502,plain,
% 6.47/4.50 ((~![X: $i] : ((~r1(Y!34, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X))))))))))))))))))) | (~r1(Y!34, X!35)) | ![Y: $i] : ((~r1(X!35, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))),
% 6.47/4.50 inference(modus_ponens,[status(thm)],[501, 500])).
% 6.47/4.50 tff(503,plain,
% 6.47/4.50 (![Y: $i] : ((~r1(X!35, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))),
% 6.47/4.50 inference(unit_resolution,[status(thm)],[502, 163, 499])).
% 6.47/4.50 tff(504,plain,
% 6.47/4.50 (((~![Y: $i] : ((~r1(X!35, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))) | ((~r1(X!35, Y!36)) | ![X: $i] : ((~r1(Y!36, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))) <=> ((~![Y: $i] : ((~r1(X!35, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))) | (~r1(X!35, Y!36)) | ![X: $i] : ((~r1(Y!36, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))),
% 6.47/4.51 inference(rewrite,[status(thm)],[])).
% 6.47/4.51 tff(505,plain,
% 6.47/4.51 ((~![Y: $i] : ((~r1(X!35, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))) | ((~r1(X!35, Y!36)) | ![X: $i] : ((~r1(Y!36, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))),
% 6.47/4.51 inference(quant_inst,[status(thm)],[])).
% 6.47/4.51 tff(506,plain,
% 6.47/4.51 ((~![Y: $i] : ((~r1(X!35, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))))) | (~r1(X!35, Y!36)) | ![X: $i] : ((~r1(Y!36, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X))))))))))))))))),
% 6.47/4.51 inference(modus_ponens,[status(thm)],[505, 504])).
% 6.47/4.51 tff(507,plain,
% 6.47/4.51 (![X: $i] : ((~r1(Y!36, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X))))))))))))))))),
% 6.47/4.51 inference(unit_resolution,[status(thm)],[506, 168, 503])).
% 6.47/4.51 tff(508,plain,
% 6.47/4.51 (((~![X: $i] : ((~r1(Y!36, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X))))))))))))))))) | ((~r1(Y!36, X!37)) | ![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X))))))))))))))))) <=> ((~![X: $i] : ((~r1(Y!36, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X))))))))))))))))) | (~r1(Y!36, X!37)) | ![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X))))))))))))))))),
% 6.47/4.51 inference(rewrite,[status(thm)],[])).
% 6.47/4.51 tff(509,plain,
% 6.47/4.51 ((~![X: $i] : ((~r1(Y!36, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X))))))))))))))))) | ((~r1(Y!36, X!37)) | ![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X))))))))))))))))),
% 6.47/4.51 inference(quant_inst,[status(thm)],[])).
% 6.47/4.51 tff(510,plain,
% 6.47/4.51 ((~![X: $i] : ((~r1(Y!36, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X))))))))))))))))) | (~r1(Y!36, X!37)) | ![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))),
% 6.47/4.51 inference(modus_ponens,[status(thm)],[509, 508])).
% 6.47/4.51 tff(511,plain,
% 6.47/4.51 (![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))),
% 6.47/4.51 inference(unit_resolution,[status(thm)],[510, 173, 507])).
% 6.47/4.51 tff(512,plain,
% 6.47/4.51 (((~![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))) | ((~r1(X!37, Y!38)) | ![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))) <=> ((~![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))) | (~r1(X!37, Y!38)) | ![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))),
% 6.47/4.51 inference(rewrite,[status(thm)],[])).
% 6.47/4.51 tff(513,plain,
% 6.47/4.51 ((~![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))) | ((~r1(X!37, Y!38)) | ![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))),
% 6.47/4.51 inference(quant_inst,[status(thm)],[])).
% 6.47/4.51 tff(514,plain,
% 6.47/4.51 ((~![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))))) | (~r1(X!37, Y!38)) | ![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X))))))))))))))),
% 6.47/4.51 inference(modus_ponens,[status(thm)],[513, 512])).
% 6.47/4.51 tff(515,plain,
% 6.47/4.51 (![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X))))))))))))))),
% 6.47/4.51 inference(unit_resolution,[status(thm)],[514, 178, 511])).
% 6.47/4.51 tff(516,plain,
% 6.47/4.51 (((~![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X))))))))))))))) | ((~r1(Y!38, X!39)) | ![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X))))))))))))))) <=> ((~![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X))))))))))))))) | (~r1(Y!38, X!39)) | ![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X))))))))))))))),
% 6.47/4.51 inference(rewrite,[status(thm)],[])).
% 6.47/4.51 tff(517,plain,
% 6.47/4.51 ((~![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X))))))))))))))) | ((~r1(Y!38, X!39)) | ![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X))))))))))))))),
% 6.47/4.51 inference(quant_inst,[status(thm)],[])).
% 6.47/4.51 tff(518,plain,
% 6.47/4.51 ((~![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X))))))))))))))) | (~r1(Y!38, X!39)) | ![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))),
% 6.47/4.51 inference(modus_ponens,[status(thm)],[517, 516])).
% 6.47/4.51 tff(519,plain,
% 6.47/4.51 (![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))),
% 6.47/4.51 inference(unit_resolution,[status(thm)],[518, 183, 515])).
% 6.47/4.51 tff(520,plain,
% 6.47/4.51 (((~![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))) | ((~r1(X!39, Y!40)) | ![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))) <=> ((~![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))) | (~r1(X!39, Y!40)) | ![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))),
% 6.47/4.51 inference(rewrite,[status(thm)],[])).
% 6.47/4.51 tff(521,plain,
% 6.47/4.51 ((~![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))) | ((~r1(X!39, Y!40)) | ![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))),
% 6.47/4.51 inference(quant_inst,[status(thm)],[])).
% 6.47/4.51 tff(522,plain,
% 6.47/4.51 ((~![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))))) | (~r1(X!39, Y!40)) | ![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X))))))))))))),
% 6.47/4.51 inference(modus_ponens,[status(thm)],[521, 520])).
% 6.47/4.51 tff(523,plain,
% 6.47/4.51 (![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X))))))))))))),
% 6.47/4.51 inference(unit_resolution,[status(thm)],[522, 188, 519])).
% 6.47/4.51 tff(524,plain,
% 6.47/4.51 (((~![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X))))))))))))) | ((~r1(Y!40, X!41)) | ![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X))))))))))))) <=> ((~![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X))))))))))))) | (~r1(Y!40, X!41)) | ![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X))))))))))))),
% 6.47/4.51 inference(rewrite,[status(thm)],[])).
% 6.47/4.51 tff(525,plain,
% 6.47/4.51 ((~![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X))))))))))))) | ((~r1(Y!40, X!41)) | ![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X))))))))))))),
% 6.47/4.51 inference(quant_inst,[status(thm)],[])).
% 6.47/4.51 tff(526,plain,
% 6.47/4.51 ((~![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X))))))))))))) | (~r1(Y!40, X!41)) | ![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))),
% 6.47/4.51 inference(modus_ponens,[status(thm)],[525, 524])).
% 6.47/4.51 tff(527,plain,
% 6.47/4.51 (![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))),
% 6.47/4.51 inference(unit_resolution,[status(thm)],[526, 193, 523])).
% 6.47/4.51 tff(528,plain,
% 6.47/4.51 (((~![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))) | ((~r1(X!41, Y!42)) | ![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))) <=> ((~![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))) | (~r1(X!41, Y!42)) | ![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))),
% 6.47/4.51 inference(rewrite,[status(thm)],[])).
% 6.47/4.51 tff(529,plain,
% 6.47/4.51 ((~![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))) | ((~r1(X!41, Y!42)) | ![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))),
% 6.47/4.51 inference(quant_inst,[status(thm)],[])).
% 6.47/4.51 tff(530,plain,
% 6.47/4.51 ((~![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))))) | (~r1(X!41, Y!42)) | ![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X))))))))))),
% 6.47/4.51 inference(modus_ponens,[status(thm)],[529, 528])).
% 6.47/4.51 tff(531,plain,
% 6.47/4.51 (![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X))))))))))),
% 6.47/4.51 inference(unit_resolution,[status(thm)],[530, 198, 527])).
% 6.47/4.51 tff(532,plain,
% 6.47/4.51 (((~![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X))))))))))) | ((~r1(Y!42, X!43)) | ![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X))))))))))) <=> ((~![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X))))))))))) | (~r1(Y!42, X!43)) | ![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X))))))))))),
% 6.47/4.51 inference(rewrite,[status(thm)],[])).
% 6.47/4.51 tff(533,plain,
% 6.47/4.51 ((~![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X))))))))))) | ((~r1(Y!42, X!43)) | ![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X))))))))))),
% 6.47/4.51 inference(quant_inst,[status(thm)],[])).
% 6.47/4.51 tff(534,plain,
% 6.47/4.51 ((~![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X))))))))))) | (~r1(Y!42, X!43)) | ![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))),
% 6.47/4.51 inference(modus_ponens,[status(thm)],[533, 532])).
% 6.47/4.51 tff(535,plain,
% 6.47/4.51 (![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))),
% 6.47/4.51 inference(unit_resolution,[status(thm)],[534, 206, 531])).
% 6.47/4.51 tff(536,plain,
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% 6.47/4.51 inference(rewrite,[status(thm)],[])).
% 6.47/4.51 tff(537,plain,
% 6.47/4.51 ((~![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))) | ((~r1(X!43, Y!44)) | ![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))))),
% 6.47/4.51 inference(quant_inst,[status(thm)],[])).
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% 6.47/4.51 inference(modus_ponens,[status(thm)],[537, 536])).
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% 6.47/4.51 inference(unit_resolution,[status(thm)],[538, 215, 535])).
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% 6.47/4.51 inference(rewrite,[status(thm)],[])).
% 6.47/4.51 tff(541,plain,
% 6.47/4.51 ((~![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X))))))))) | ((~r1(Y!44, X!45)) | ![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X))))))))),
% 6.47/4.51 inference(quant_inst,[status(thm)],[])).
% 6.47/4.51 tff(542,plain,
% 6.47/4.51 ((~![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X))))))))) | (~r1(Y!44, X!45)) | ![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))),
% 6.47/4.51 inference(modus_ponens,[status(thm)],[541, 540])).
% 6.47/4.51 tff(543,plain,
% 6.47/4.51 (![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))),
% 6.47/4.51 inference(unit_resolution,[status(thm)],[542, 224, 539])).
% 6.47/4.51 tff(544,plain,
% 6.47/4.51 (((~![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))) | ((~r1(X!45, Y!46)) | ![X: $i] : ((~r1(Y!46, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))) <=> ((~![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))) | (~r1(X!45, Y!46)) | ![X: $i] : ((~r1(Y!46, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))),
% 6.47/4.51 inference(rewrite,[status(thm)],[])).
% 6.47/4.51 tff(545,plain,
% 6.47/4.51 ((~![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))) | ((~r1(X!45, Y!46)) | ![X: $i] : ((~r1(Y!46, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))),
% 6.47/4.51 inference(quant_inst,[status(thm)],[])).
% 6.47/4.51 tff(546,plain,
% 6.47/4.51 ((~![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X)))))))) | (~r1(X!45, Y!46)) | ![X: $i] : ((~r1(Y!46, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X))))))),
% 6.47/4.51 inference(modus_ponens,[status(thm)],[545, 544])).
% 6.47/4.51 tff(547,plain,
% 6.47/4.51 (![X: $i] : ((~r1(Y!46, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X))))))),
% 6.47/4.51 inference(unit_resolution,[status(thm)],[546, 233, 543])).
% 6.47/4.51 tff(548,plain,
% 6.47/4.51 (((~![X: $i] : ((~r1(Y!46, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X))))))) | ((~r1(Y!46, X!47)) | (~((~((~p14(X!47)) | (~p15(X!47)))) | (~(p14(X!47) | p15(X!47))))))) <=> ((~![X: $i] : ((~r1(Y!46, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X))))))) | (~r1(Y!46, X!47)) | (~((~((~p14(X!47)) | (~p15(X!47)))) | (~(p14(X!47) | p15(X!47))))))),
% 6.47/4.51 inference(rewrite,[status(thm)],[])).
% 6.47/4.51 tff(549,plain,
% 6.47/4.51 ((~![X: $i] : ((~r1(Y!46, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X))))))) | ((~r1(Y!46, X!47)) | (~((~((~p14(X!47)) | (~p15(X!47)))) | (~(p14(X!47) | p15(X!47))))))),
% 6.47/4.51 inference(quant_inst,[status(thm)],[])).
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% 6.47/4.51 ((~![X: $i] : ((~r1(Y!46, X)) | (~((~((~p14(X)) | (~p15(X)))) | (~(p14(X) | p15(X))))))) | (~r1(Y!46, X!47)) | (~((~((~p14(X!47)) | (~p15(X!47)))) | (~(p14(X!47) | p15(X!47)))))),
% 6.47/4.51 inference(modus_ponens,[status(thm)],[549, 548])).
% 6.47/4.51 tff(551,plain,
% 6.47/4.51 ($false),
% 6.47/4.51 inference(unit_resolution,[status(thm)],[550, 241, 547, 493])).
% 6.47/4.51 tff(552,plain,(~((~((~p14(X!47)) | (~p15(X!47)))) | (~(p14(X!47) | p15(X!47))))), inference(lemma,lemma(discharge,[]))).
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% 6.47/4.51 inference(tautology,[status(thm)],[])).
% 6.47/4.51 tff(554,plain,
% 6.47/4.51 (p14(X!47) | p15(X!47)),
% 6.47/4.51 inference(unit_resolution,[status(thm)],[553, 552])).
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% 6.47/4.51 ((~(p14(X!47) | p15(X!47))) | p14(X!47) | p15(X!47)),
% 6.47/4.51 inference(tautology,[status(thm)],[])).
% 6.47/4.51 tff(556,plain,
% 6.47/4.51 (p14(X!47) | p15(X!47)),
% 6.47/4.51 inference(unit_resolution,[status(thm)],[555, 554])).
% 6.47/4.51 tff(557,plain,
% 6.47/4.51 (p14(X!47)),
% 6.47/4.51 inference(unit_resolution,[status(thm)],[556, 247])).
% 6.47/4.51 tff(558,assumption,((~((~p14(X!47)) | (~p13(X!47)))) | (~(p13(X!47) | p14(X!47)))), introduced(assumption)).
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% 6.47/4.52 inference(tautology,[status(thm)],[])).
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% 6.47/4.52 inference(unit_resolution,[status(thm)],[559, 276])).
% 6.47/4.52 tff(561,plain,
% 6.47/4.52 (((~![X: $i] : ((~r1(Y!34, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | ((~r1(Y!34, X!35)) | ![Y: $i] : ((~r1(X!35, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) <=> ((~![X: $i] : ((~r1(Y!34, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~r1(Y!34, X!35)) | ![Y: $i] : ((~r1(X!35, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))),
% 6.47/4.52 inference(rewrite,[status(thm)],[])).
% 6.47/4.52 tff(562,plain,
% 6.47/4.52 ((~![X: $i] : ((~r1(Y!34, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | ((~r1(Y!34, X!35)) | ![Y: $i] : ((~r1(X!35, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))),
% 6.47/4.52 inference(quant_inst,[status(thm)],[])).
% 6.47/4.52 tff(563,plain,
% 6.47/4.52 ((~![X: $i] : ((~r1(Y!34, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))))) | (~r1(Y!34, X!35)) | ![Y: $i] : ((~r1(X!35, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X)))))))))))))))))),
% 6.47/4.52 inference(modus_ponens,[status(thm)],[562, 561])).
% 6.47/4.52 tff(564,plain,
% 6.47/4.52 (![Y: $i] : ((~r1(X!35, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X)))))))))))))))))),
% 6.47/4.52 inference(unit_resolution,[status(thm)],[563, 163, 560])).
% 6.47/4.52 tff(565,plain,
% 6.47/4.52 (((~![Y: $i] : ((~r1(X!35, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X)))))))))))))))))) | ((~r1(X!35, Y!36)) | ![X: $i] : ((~r1(Y!36, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X)))))))))))))))))) <=> ((~![Y: $i] : ((~r1(X!35, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X)))))))))))))))))) | (~r1(X!35, Y!36)) | ![X: $i] : ((~r1(Y!36, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X)))))))))))))))))),
% 6.47/4.52 inference(rewrite,[status(thm)],[])).
% 6.47/4.52 tff(566,plain,
% 6.47/4.52 ((~![Y: $i] : ((~r1(X!35, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X)))))))))))))))))) | ((~r1(X!35, Y!36)) | ![X: $i] : ((~r1(Y!36, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X)))))))))))))))))),
% 6.47/4.52 inference(quant_inst,[status(thm)],[])).
% 6.47/4.52 tff(567,plain,
% 6.47/4.52 ((~![Y: $i] : ((~r1(X!35, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X)))))))))))))))))) | (~r1(X!35, Y!36)) | ![X: $i] : ((~r1(Y!36, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))),
% 6.47/4.52 inference(modus_ponens,[status(thm)],[566, 565])).
% 6.47/4.52 tff(568,plain,
% 6.47/4.52 (![X: $i] : ((~r1(Y!36, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))),
% 6.47/4.52 inference(unit_resolution,[status(thm)],[567, 168, 564])).
% 6.47/4.52 tff(569,plain,
% 6.47/4.52 (((~![X: $i] : ((~r1(Y!36, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))) | ((~r1(Y!36, X!37)) | ![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))) <=> ((~![X: $i] : ((~r1(Y!36, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))) | (~r1(Y!36, X!37)) | ![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))),
% 6.47/4.52 inference(rewrite,[status(thm)],[])).
% 6.47/4.52 tff(570,plain,
% 6.47/4.52 ((~![X: $i] : ((~r1(Y!36, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))) | ((~r1(Y!36, X!37)) | ![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))),
% 6.47/4.52 inference(quant_inst,[status(thm)],[])).
% 6.47/4.52 tff(571,plain,
% 6.47/4.52 ((~![X: $i] : ((~r1(Y!36, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))))) | (~r1(Y!36, X!37)) | ![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X)))))))))))))))),
% 6.47/4.52 inference(modus_ponens,[status(thm)],[570, 569])).
% 6.47/4.52 tff(572,plain,
% 6.47/4.52 (![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X)))))))))))))))),
% 6.47/4.52 inference(unit_resolution,[status(thm)],[571, 173, 568])).
% 6.47/4.52 tff(573,plain,
% 6.47/4.52 (((~![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X)))))))))))))))) | ((~r1(X!37, Y!38)) | ![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X)))))))))))))))) <=> ((~![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X)))))))))))))))) | (~r1(X!37, Y!38)) | ![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X)))))))))))))))),
% 6.47/4.52 inference(rewrite,[status(thm)],[])).
% 6.47/4.52 tff(574,plain,
% 6.47/4.52 ((~![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X)))))))))))))))) | ((~r1(X!37, Y!38)) | ![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X)))))))))))))))),
% 6.47/4.52 inference(quant_inst,[status(thm)],[])).
% 6.47/4.52 tff(575,plain,
% 6.47/4.52 ((~![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X)))))))))))))))) | (~r1(X!37, Y!38)) | ![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))),
% 6.47/4.52 inference(modus_ponens,[status(thm)],[574, 573])).
% 6.47/4.52 tff(576,plain,
% 6.47/4.52 (![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))),
% 6.47/4.52 inference(unit_resolution,[status(thm)],[575, 178, 572])).
% 6.47/4.52 tff(577,plain,
% 6.47/4.52 (((~![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))) | ((~r1(Y!38, X!39)) | ![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))) <=> ((~![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))) | (~r1(Y!38, X!39)) | ![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))),
% 6.47/4.52 inference(rewrite,[status(thm)],[])).
% 6.47/4.52 tff(578,plain,
% 6.47/4.52 ((~![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))) | ((~r1(Y!38, X!39)) | ![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))),
% 6.47/4.52 inference(quant_inst,[status(thm)],[])).
% 6.47/4.52 tff(579,plain,
% 6.47/4.52 ((~![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))))) | (~r1(Y!38, X!39)) | ![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X)))))))))))))),
% 6.47/4.52 inference(modus_ponens,[status(thm)],[578, 577])).
% 6.47/4.52 tff(580,plain,
% 6.47/4.52 (![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X)))))))))))))),
% 6.47/4.52 inference(unit_resolution,[status(thm)],[579, 183, 576])).
% 6.47/4.52 tff(581,plain,
% 6.47/4.52 (((~![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X)))))))))))))) | ((~r1(X!39, Y!40)) | ![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X)))))))))))))) <=> ((~![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X)))))))))))))) | (~r1(X!39, Y!40)) | ![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X)))))))))))))),
% 6.47/4.52 inference(rewrite,[status(thm)],[])).
% 6.47/4.52 tff(582,plain,
% 6.47/4.52 ((~![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X)))))))))))))) | ((~r1(X!39, Y!40)) | ![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X)))))))))))))),
% 6.47/4.52 inference(quant_inst,[status(thm)],[])).
% 6.47/4.52 tff(583,plain,
% 6.47/4.52 ((~![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X)))))))))))))) | (~r1(X!39, Y!40)) | ![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))),
% 6.47/4.52 inference(modus_ponens,[status(thm)],[582, 581])).
% 6.47/4.52 tff(584,plain,
% 6.47/4.52 (![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))),
% 6.47/4.52 inference(unit_resolution,[status(thm)],[583, 188, 580])).
% 6.47/4.52 tff(585,plain,
% 6.47/4.52 (((~![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))) | ((~r1(Y!40, X!41)) | ![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))) <=> ((~![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))) | (~r1(Y!40, X!41)) | ![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))),
% 6.47/4.52 inference(rewrite,[status(thm)],[])).
% 6.47/4.52 tff(586,plain,
% 6.47/4.52 ((~![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))) | ((~r1(Y!40, X!41)) | ![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))),
% 6.47/4.52 inference(quant_inst,[status(thm)],[])).
% 6.47/4.52 tff(587,plain,
% 6.47/4.52 ((~![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))))) | (~r1(Y!40, X!41)) | ![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X)))))))))))),
% 6.47/4.52 inference(modus_ponens,[status(thm)],[586, 585])).
% 6.47/4.52 tff(588,plain,
% 6.47/4.52 (![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X)))))))))))),
% 6.47/4.52 inference(unit_resolution,[status(thm)],[587, 193, 584])).
% 6.47/4.52 tff(589,plain,
% 6.47/4.52 (((~![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X)))))))))))) | ((~r1(X!41, Y!42)) | ![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X)))))))))))) <=> ((~![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X)))))))))))) | (~r1(X!41, Y!42)) | ![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X)))))))))))),
% 6.47/4.52 inference(rewrite,[status(thm)],[])).
% 6.47/4.52 tff(590,plain,
% 6.47/4.52 ((~![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X)))))))))))) | ((~r1(X!41, Y!42)) | ![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X)))))))))))),
% 6.47/4.53 inference(quant_inst,[status(thm)],[])).
% 6.47/4.53 tff(591,plain,
% 6.47/4.53 ((~![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X)))))))))))) | (~r1(X!41, Y!42)) | ![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))),
% 6.47/4.53 inference(modus_ponens,[status(thm)],[590, 589])).
% 6.47/4.53 tff(592,plain,
% 6.47/4.53 (![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p14(X)) | (~p13(X)))) | (~(p13(X) | p14(X))))))))))),
% 6.47/4.53 inference(unit_resolution,[status(thm)],[591, 198, 588])).
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% 6.47/4.53 tff(619,assumption,((~((~p12(X!47)) | (~p13(X!47)))) | (~(p12(X!47) | p13(X!47)))), introduced(assumption)).
% 6.47/4.53 tff(620,plain,
% 6.47/4.53 (((~r1(X!35, tptp_fun_Y_21(X!35))) | p13(tptp_fun_Y_21(X!35)) | (~![Y: $i] : ((~r1(X!35, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X!35, Y)) | (~((~r1(Y, tptp_fun_X_22(Y))) | p12(tptp_fun_X_22(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X))))))))))))))))))))))))))))))))))))))))))))))))) | ![Y: $i] : ((~r1(X!35, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))),
% 6.47/4.53 inference(tautology,[status(thm)],[])).
% 6.47/4.53 tff(621,plain,
% 6.47/4.53 (![Y: $i] : ((~r1(X!35, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))),
% 6.47/4.53 inference(unit_resolution,[status(thm)],[620, 282])).
% 6.47/4.53 tff(622,plain,
% 6.47/4.53 (((~![Y: $i] : ((~r1(X!35, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | ((~r1(X!35, Y!36)) | ![X: $i] : ((~r1(Y!36, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) <=> ((~![Y: $i] : ((~r1(X!35, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~r1(X!35, Y!36)) | ![X: $i] : ((~r1(Y!36, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))),
% 6.47/4.53 inference(rewrite,[status(thm)],[])).
% 6.47/4.53 tff(623,plain,
% 6.47/4.53 ((~![Y: $i] : ((~r1(X!35, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | ((~r1(X!35, Y!36)) | ![X: $i] : ((~r1(Y!36, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))),
% 6.47/4.53 inference(quant_inst,[status(thm)],[])).
% 6.47/4.53 tff(624,plain,
% 6.47/4.53 ((~![Y: $i] : ((~r1(X!35, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))))) | (~r1(X!35, Y!36)) | ![X: $i] : ((~r1(Y!36, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X))))))))))))))))),
% 6.47/4.53 inference(modus_ponens,[status(thm)],[623, 622])).
% 6.47/4.53 tff(625,plain,
% 6.47/4.53 (![X: $i] : ((~r1(Y!36, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X))))))))))))))))),
% 6.47/4.53 inference(unit_resolution,[status(thm)],[624, 168, 621])).
% 6.47/4.53 tff(626,plain,
% 6.47/4.53 (((~![X: $i] : ((~r1(Y!36, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X))))))))))))))))) | ((~r1(Y!36, X!37)) | ![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X))))))))))))))))) <=> ((~![X: $i] : ((~r1(Y!36, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X))))))))))))))))) | (~r1(Y!36, X!37)) | ![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X))))))))))))))))),
% 6.47/4.53 inference(rewrite,[status(thm)],[])).
% 6.47/4.53 tff(627,plain,
% 6.47/4.53 ((~![X: $i] : ((~r1(Y!36, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X))))))))))))))))) | ((~r1(Y!36, X!37)) | ![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X))))))))))))))))),
% 6.47/4.53 inference(quant_inst,[status(thm)],[])).
% 6.47/4.53 tff(628,plain,
% 6.47/4.53 ((~![X: $i] : ((~r1(Y!36, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X))))))))))))))))) | (~r1(Y!36, X!37)) | ![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))),
% 6.47/4.53 inference(modus_ponens,[status(thm)],[627, 626])).
% 6.47/4.53 tff(629,plain,
% 6.47/4.53 (![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))),
% 6.47/4.53 inference(unit_resolution,[status(thm)],[628, 173, 625])).
% 6.47/4.53 tff(630,plain,
% 6.47/4.53 (((~![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))) | ((~r1(X!37, Y!38)) | ![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))) <=> ((~![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))) | (~r1(X!37, Y!38)) | ![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))),
% 6.47/4.53 inference(rewrite,[status(thm)],[])).
% 6.47/4.53 tff(631,plain,
% 6.47/4.53 ((~![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))) | ((~r1(X!37, Y!38)) | ![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))),
% 6.47/4.53 inference(quant_inst,[status(thm)],[])).
% 6.47/4.53 tff(632,plain,
% 6.47/4.53 ((~![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))))) | (~r1(X!37, Y!38)) | ![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X))))))))))))))),
% 6.47/4.53 inference(modus_ponens,[status(thm)],[631, 630])).
% 6.47/4.53 tff(633,plain,
% 6.47/4.53 (![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X))))))))))))))),
% 6.47/4.53 inference(unit_resolution,[status(thm)],[632, 178, 629])).
% 6.47/4.53 tff(634,plain,
% 6.47/4.53 (((~![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X))))))))))))))) | ((~r1(Y!38, X!39)) | ![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X))))))))))))))) <=> ((~![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X))))))))))))))) | (~r1(Y!38, X!39)) | ![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X))))))))))))))),
% 6.47/4.53 inference(rewrite,[status(thm)],[])).
% 6.47/4.53 tff(635,plain,
% 6.47/4.53 ((~![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X))))))))))))))) | ((~r1(Y!38, X!39)) | ![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X))))))))))))))),
% 6.47/4.53 inference(quant_inst,[status(thm)],[])).
% 6.47/4.53 tff(636,plain,
% 6.47/4.53 ((~![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X))))))))))))))) | (~r1(Y!38, X!39)) | ![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))),
% 6.47/4.53 inference(modus_ponens,[status(thm)],[635, 634])).
% 6.47/4.53 tff(637,plain,
% 6.47/4.53 (![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))),
% 6.47/4.53 inference(unit_resolution,[status(thm)],[636, 183, 633])).
% 6.47/4.53 tff(638,plain,
% 6.47/4.53 (((~![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))) | ((~r1(X!39, Y!40)) | ![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))) <=> ((~![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))) | (~r1(X!39, Y!40)) | ![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))),
% 6.47/4.53 inference(rewrite,[status(thm)],[])).
% 6.47/4.53 tff(639,plain,
% 6.47/4.53 ((~![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))) | ((~r1(X!39, Y!40)) | ![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))),
% 6.47/4.54 inference(quant_inst,[status(thm)],[])).
% 6.47/4.54 tff(640,plain,
% 6.47/4.54 ((~![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))))) | (~r1(X!39, Y!40)) | ![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X))))))))))))),
% 6.47/4.54 inference(modus_ponens,[status(thm)],[639, 638])).
% 6.47/4.54 tff(641,plain,
% 6.47/4.54 (![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X))))))))))))),
% 6.47/4.54 inference(unit_resolution,[status(thm)],[640, 188, 637])).
% 6.47/4.54 tff(642,plain,
% 6.47/4.54 (((~![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X))))))))))))) | ((~r1(Y!40, X!41)) | ![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X))))))))))))) <=> ((~![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X))))))))))))) | (~r1(Y!40, X!41)) | ![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X))))))))))))),
% 6.47/4.54 inference(rewrite,[status(thm)],[])).
% 6.47/4.54 tff(643,plain,
% 6.47/4.54 ((~![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X))))))))))))) | ((~r1(Y!40, X!41)) | ![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X))))))))))))),
% 6.47/4.54 inference(quant_inst,[status(thm)],[])).
% 6.47/4.54 tff(644,plain,
% 6.47/4.54 ((~![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X))))))))))))) | (~r1(Y!40, X!41)) | ![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))),
% 6.47/4.54 inference(modus_ponens,[status(thm)],[643, 642])).
% 6.47/4.54 tff(645,plain,
% 6.47/4.54 (![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))),
% 6.47/4.54 inference(unit_resolution,[status(thm)],[644, 193, 641])).
% 6.47/4.54 tff(646,plain,
% 6.47/4.54 (((~![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))) | ((~r1(X!41, Y!42)) | ![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))) <=> ((~![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))) | (~r1(X!41, Y!42)) | ![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p13(X)))) | (~(p12(X) | p13(X)))))))))))),
% 6.53/4.54 inference(rewrite,[status(thm)],[])).
% 6.53/4.54 tff(647,plain,
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% 6.53/4.54 inference(quant_inst,[status(thm)],[])).
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% 6.53/4.54 inference(rewrite,[status(thm)],[])).
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% 6.53/4.54 inference(quant_inst,[status(thm)],[])).
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% 6.53/4.54 inference(modus_ponens,[status(thm)],[651, 650])).
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% 6.53/4.54 inference(rewrite,[status(thm)],[])).
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% 6.53/4.54 inference(quant_inst,[status(thm)],[])).
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% 6.53/4.54 inference(modus_ponens,[status(thm)],[655, 654])).
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% 6.53/4.54 inference(rewrite,[status(thm)],[])).
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% 6.53/4.54 inference(quant_inst,[status(thm)],[])).
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% 6.53/4.54 inference(quant_inst,[status(thm)],[])).
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% 6.53/4.54 tff(676,assumption,((~(p11(X!47) | p12(X!47))) | (~((~p11(X!47)) | (~p12(X!47))))), introduced(assumption)).
% 6.53/4.54 tff(677,plain,
% 6.53/4.54 (((~r1(Y!36, tptp_fun_X_22(Y!36))) | (~![X: $i] : ((~r1(Y!36, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | p12(tptp_fun_X_22(Y!36)) | (~![X: $i] : ((~r1(Y!36, X)) | (~((~r1(X, tptp_fun_Y_23(X))) | p11(tptp_fun_Y_23(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X))))))))))))))))))))))))))))))))))))))))))))) | ![X: $i] : ((~r1(Y!36, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))),
% 6.53/4.54 inference(tautology,[status(thm)],[])).
% 6.53/4.54 tff(678,plain,
% 6.53/4.54 (![X: $i] : ((~r1(Y!36, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))),
% 6.53/4.54 inference(unit_resolution,[status(thm)],[677, 291])).
% 6.53/4.54 tff(679,plain,
% 6.53/4.54 (((~![X: $i] : ((~r1(Y!36, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | ((~r1(Y!36, X!37)) | ![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) <=> ((~![X: $i] : ((~r1(Y!36, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~r1(Y!36, X!37)) | ![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))),
% 6.53/4.54 inference(rewrite,[status(thm)],[])).
% 6.53/4.54 tff(680,plain,
% 6.53/4.54 ((~![X: $i] : ((~r1(Y!36, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | ((~r1(Y!36, X!37)) | ![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))),
% 6.53/4.54 inference(quant_inst,[status(thm)],[])).
% 6.53/4.54 tff(681,plain,
% 6.53/4.54 ((~![X: $i] : ((~r1(Y!36, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))))) | (~r1(Y!36, X!37)) | ![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X)))))))))))))))),
% 6.53/4.54 inference(modus_ponens,[status(thm)],[680, 679])).
% 6.53/4.54 tff(682,plain,
% 6.53/4.54 (![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X)))))))))))))))),
% 6.53/4.54 inference(unit_resolution,[status(thm)],[681, 173, 678])).
% 6.53/4.54 tff(683,plain,
% 6.53/4.54 (((~![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X)))))))))))))))) | ((~r1(X!37, Y!38)) | ![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X)))))))))))))))) <=> ((~![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X)))))))))))))))) | (~r1(X!37, Y!38)) | ![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X)))))))))))))))),
% 6.53/4.54 inference(rewrite,[status(thm)],[])).
% 6.53/4.54 tff(684,plain,
% 6.53/4.54 ((~![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X)))))))))))))))) | ((~r1(X!37, Y!38)) | ![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X)))))))))))))))),
% 6.53/4.54 inference(quant_inst,[status(thm)],[])).
% 6.53/4.54 tff(685,plain,
% 6.53/4.54 ((~![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X)))))))))))))))) | (~r1(X!37, Y!38)) | ![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))),
% 6.53/4.54 inference(modus_ponens,[status(thm)],[684, 683])).
% 6.53/4.54 tff(686,plain,
% 6.53/4.54 (![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))),
% 6.53/4.54 inference(unit_resolution,[status(thm)],[685, 178, 682])).
% 6.53/4.54 tff(687,plain,
% 6.53/4.54 (((~![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))) | ((~r1(Y!38, X!39)) | ![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))) <=> ((~![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))) | (~r1(Y!38, X!39)) | ![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))),
% 6.53/4.54 inference(rewrite,[status(thm)],[])).
% 6.53/4.54 tff(688,plain,
% 6.53/4.54 ((~![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))) | ((~r1(Y!38, X!39)) | ![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))),
% 6.53/4.54 inference(quant_inst,[status(thm)],[])).
% 6.53/4.54 tff(689,plain,
% 6.53/4.54 ((~![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))))) | (~r1(Y!38, X!39)) | ![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X)))))))))))))),
% 6.53/4.54 inference(modus_ponens,[status(thm)],[688, 687])).
% 6.53/4.54 tff(690,plain,
% 6.53/4.54 (![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X)))))))))))))),
% 6.53/4.54 inference(unit_resolution,[status(thm)],[689, 183, 686])).
% 6.53/4.54 tff(691,plain,
% 6.53/4.54 (((~![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X)))))))))))))) | ((~r1(X!39, Y!40)) | ![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X)))))))))))))) <=> ((~![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X)))))))))))))) | (~r1(X!39, Y!40)) | ![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X)))))))))))))),
% 6.53/4.55 inference(rewrite,[status(thm)],[])).
% 6.53/4.55 tff(692,plain,
% 6.53/4.55 ((~![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X)))))))))))))) | ((~r1(X!39, Y!40)) | ![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X)))))))))))))),
% 6.53/4.55 inference(quant_inst,[status(thm)],[])).
% 6.53/4.55 tff(693,plain,
% 6.53/4.55 ((~![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X)))))))))))))) | (~r1(X!39, Y!40)) | ![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))),
% 6.53/4.55 inference(modus_ponens,[status(thm)],[692, 691])).
% 6.53/4.55 tff(694,plain,
% 6.53/4.55 (![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))),
% 6.53/4.55 inference(unit_resolution,[status(thm)],[693, 188, 690])).
% 6.53/4.55 tff(695,plain,
% 6.53/4.55 (((~![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))) | ((~r1(Y!40, X!41)) | ![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))) <=> ((~![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))) | (~r1(Y!40, X!41)) | ![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))),
% 6.53/4.55 inference(rewrite,[status(thm)],[])).
% 6.53/4.55 tff(696,plain,
% 6.53/4.55 ((~![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))) | ((~r1(Y!40, X!41)) | ![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))),
% 6.53/4.55 inference(quant_inst,[status(thm)],[])).
% 6.53/4.55 tff(697,plain,
% 6.53/4.55 ((~![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))))) | (~r1(Y!40, X!41)) | ![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X)))))))))))),
% 6.53/4.55 inference(modus_ponens,[status(thm)],[696, 695])).
% 6.53/4.55 tff(698,plain,
% 6.53/4.55 (![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X)))))))))))),
% 6.53/4.55 inference(unit_resolution,[status(thm)],[697, 193, 694])).
% 6.53/4.55 tff(699,plain,
% 6.53/4.55 (((~![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X)))))))))))) | ((~r1(X!41, Y!42)) | ![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X)))))))))))) <=> ((~![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X)))))))))))) | (~r1(X!41, Y!42)) | ![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X)))))))))))),
% 6.53/4.55 inference(rewrite,[status(thm)],[])).
% 6.53/4.55 tff(700,plain,
% 6.53/4.55 ((~![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X)))))))))))) | ((~r1(X!41, Y!42)) | ![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X)))))))))))),
% 6.53/4.55 inference(quant_inst,[status(thm)],[])).
% 6.53/4.55 tff(701,plain,
% 6.53/4.55 ((~![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X)))))))))))) | (~r1(X!41, Y!42)) | ![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))),
% 6.53/4.55 inference(modus_ponens,[status(thm)],[700, 699])).
% 6.53/4.55 tff(702,plain,
% 6.53/4.55 (![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))),
% 6.53/4.55 inference(unit_resolution,[status(thm)],[701, 198, 698])).
% 6.53/4.55 tff(703,plain,
% 6.53/4.55 (((~![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))) | ((~r1(Y!42, X!43)) | ![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))) <=> ((~![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))) | (~r1(Y!42, X!43)) | ![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))),
% 6.53/4.55 inference(rewrite,[status(thm)],[])).
% 6.53/4.55 tff(704,plain,
% 6.53/4.55 ((~![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))) | ((~r1(Y!42, X!43)) | ![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))),
% 6.53/4.55 inference(quant_inst,[status(thm)],[])).
% 6.53/4.55 tff(705,plain,
% 6.53/4.55 ((~![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))))) | (~r1(Y!42, X!43)) | ![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X)))))))))),
% 6.53/4.55 inference(modus_ponens,[status(thm)],[704, 703])).
% 6.53/4.55 tff(706,plain,
% 6.53/4.55 (![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X)))))))))),
% 6.53/4.55 inference(unit_resolution,[status(thm)],[705, 206, 702])).
% 6.53/4.55 tff(707,plain,
% 6.53/4.55 (((~![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X)))))))))) | ((~r1(X!43, Y!44)) | ![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X)))))))))) <=> ((~![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X)))))))))) | (~r1(X!43, Y!44)) | ![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X)))))))))),
% 6.53/4.55 inference(rewrite,[status(thm)],[])).
% 6.53/4.55 tff(708,plain,
% 6.53/4.55 ((~![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X)))))))))) | ((~r1(X!43, Y!44)) | ![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X)))))))))),
% 6.53/4.55 inference(quant_inst,[status(thm)],[])).
% 6.53/4.55 tff(709,plain,
% 6.53/4.55 ((~![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X)))))))))) | (~r1(X!43, Y!44)) | ![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))),
% 6.53/4.55 inference(modus_ponens,[status(thm)],[708, 707])).
% 6.53/4.55 tff(710,plain,
% 6.53/4.55 (![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))),
% 6.53/4.55 inference(unit_resolution,[status(thm)],[709, 215, 706])).
% 6.53/4.55 tff(711,plain,
% 6.53/4.55 (((~![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))) | ((~r1(Y!44, X!45)) | ![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))) <=> ((~![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))) | (~r1(Y!44, X!45)) | ![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))),
% 6.53/4.55 inference(rewrite,[status(thm)],[])).
% 6.53/4.55 tff(712,plain,
% 6.53/4.55 ((~![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))) | ((~r1(Y!44, X!45)) | ![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))),
% 6.53/4.55 inference(quant_inst,[status(thm)],[])).
% 6.53/4.55 tff(713,plain,
% 6.53/4.55 ((~![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))))) | (~r1(Y!44, X!45)) | ![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X)))))))),
% 6.53/4.55 inference(modus_ponens,[status(thm)],[712, 711])).
% 6.53/4.55 tff(714,plain,
% 6.53/4.55 (![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X)))))))),
% 6.53/4.55 inference(unit_resolution,[status(thm)],[713, 224, 710])).
% 6.53/4.55 tff(715,plain,
% 6.53/4.55 (((~![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X)))))))) | ((~r1(X!45, Y!46)) | ![X: $i] : ((~r1(Y!46, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X)))))))) <=> ((~![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X)))))))) | (~r1(X!45, Y!46)) | ![X: $i] : ((~r1(Y!46, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X)))))))),
% 6.53/4.55 inference(rewrite,[status(thm)],[])).
% 6.53/4.55 tff(716,plain,
% 6.53/4.55 ((~![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X)))))))) | ((~r1(X!45, Y!46)) | ![X: $i] : ((~r1(Y!46, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X)))))))),
% 6.53/4.55 inference(quant_inst,[status(thm)],[])).
% 6.53/4.55 tff(717,plain,
% 6.53/4.55 ((~![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X)))))))) | (~r1(X!45, Y!46)) | ![X: $i] : ((~r1(Y!46, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))),
% 6.53/4.55 inference(modus_ponens,[status(thm)],[716, 715])).
% 6.53/4.55 tff(718,plain,
% 6.53/4.55 (![X: $i] : ((~r1(Y!46, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))),
% 6.53/4.55 inference(unit_resolution,[status(thm)],[717, 233, 714])).
% 6.53/4.55 tff(719,plain,
% 6.53/4.55 (((~![X: $i] : ((~r1(Y!46, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))) | ((~r1(Y!46, X!47)) | (~((~(p11(X!47) | p12(X!47))) | (~((~p11(X!47)) | (~p12(X!47)))))))) <=> ((~![X: $i] : ((~r1(Y!46, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))) | (~r1(Y!46, X!47)) | (~((~(p11(X!47) | p12(X!47))) | (~((~p11(X!47)) | (~p12(X!47)))))))),
% 6.53/4.55 inference(rewrite,[status(thm)],[])).
% 6.53/4.55 tff(720,plain,
% 6.53/4.55 (((~r1(Y!46, X!47)) | (~((~((~p12(X!47)) | (~p11(X!47)))) | (~(p11(X!47) | p12(X!47)))))) <=> ((~r1(Y!46, X!47)) | (~((~(p11(X!47) | p12(X!47))) | (~((~p11(X!47)) | (~p12(X!47)))))))),
% 6.53/4.55 inference(rewrite,[status(thm)],[])).
% 6.53/4.55 tff(721,plain,
% 6.53/4.55 (((~![X: $i] : ((~r1(Y!46, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))) | ((~r1(Y!46, X!47)) | (~((~((~p12(X!47)) | (~p11(X!47)))) | (~(p11(X!47) | p12(X!47))))))) <=> ((~![X: $i] : ((~r1(Y!46, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))) | ((~r1(Y!46, X!47)) | (~((~(p11(X!47) | p12(X!47))) | (~((~p11(X!47)) | (~p12(X!47))))))))),
% 6.53/4.55 inference(monotonicity,[status(thm)],[720])).
% 6.53/4.55 tff(722,plain,
% 6.53/4.55 (((~![X: $i] : ((~r1(Y!46, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))) | ((~r1(Y!46, X!47)) | (~((~((~p12(X!47)) | (~p11(X!47)))) | (~(p11(X!47) | p12(X!47))))))) <=> ((~![X: $i] : ((~r1(Y!46, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))) | (~r1(Y!46, X!47)) | (~((~(p11(X!47) | p12(X!47))) | (~((~p11(X!47)) | (~p12(X!47)))))))),
% 6.53/4.55 inference(transitivity,[status(thm)],[721, 719])).
% 6.53/4.55 tff(723,plain,
% 6.53/4.55 ((~![X: $i] : ((~r1(Y!46, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))) | ((~r1(Y!46, X!47)) | (~((~((~p12(X!47)) | (~p11(X!47)))) | (~(p11(X!47) | p12(X!47))))))),
% 6.53/4.55 inference(quant_inst,[status(thm)],[])).
% 6.53/4.55 tff(724,plain,
% 6.53/4.55 ((~![X: $i] : ((~r1(Y!46, X)) | (~((~((~p12(X)) | (~p11(X)))) | (~(p11(X) | p12(X))))))) | (~r1(Y!46, X!47)) | (~((~(p11(X!47) | p12(X!47))) | (~((~p11(X!47)) | (~p12(X!47))))))),
% 6.53/4.55 inference(modus_ponens,[status(thm)],[723, 722])).
% 6.53/4.55 tff(725,plain,
% 6.53/4.55 ($false),
% 6.53/4.55 inference(unit_resolution,[status(thm)],[724, 241, 718, 676])).
% 6.53/4.55 tff(726,plain,(~((~(p11(X!47) | p12(X!47))) | (~((~p11(X!47)) | (~p12(X!47)))))), inference(lemma,lemma(discharge,[]))).
% 6.53/4.55 tff(727,plain,
% 6.53/4.55 (((~(p11(X!47) | p12(X!47))) | (~((~p11(X!47)) | (~p12(X!47))))) | ((~p11(X!47)) | (~p12(X!47)))),
% 6.53/4.55 inference(tautology,[status(thm)],[])).
% 6.53/4.55 tff(728,plain,
% 6.53/4.55 ((~p11(X!47)) | (~p12(X!47))),
% 6.53/4.55 inference(unit_resolution,[status(thm)],[727, 726])).
% 6.53/4.55 tff(729,plain,
% 6.53/4.55 ((~((~p11(X!47)) | (~p12(X!47)))) | (~p11(X!47)) | (~p12(X!47))),
% 6.53/4.55 inference(tautology,[status(thm)],[])).
% 6.53/4.55 tff(730,plain,
% 6.53/4.55 ((~p11(X!47)) | (~p12(X!47))),
% 6.53/4.55 inference(unit_resolution,[status(thm)],[729, 728])).
% 6.53/4.55 tff(731,plain,
% 6.53/4.55 (~p11(X!47)),
% 6.53/4.55 inference(unit_resolution,[status(thm)],[730, 675])).
% 6.53/4.55 tff(732,assumption,((~((~p10(X!47)) | (~p11(X!47)))) | (~(p10(X!47) | p11(X!47)))), introduced(assumption)).
% 6.53/4.55 tff(733,plain,
% 6.53/4.55 (((~r1(X!37, tptp_fun_Y_23(X!37))) | (~![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | p11(tptp_fun_Y_23(X!37)) | (~![Y: $i] : ((~r1(X!37, Y)) | (~((~r1(Y, tptp_fun_X_24(Y))) | p10(tptp_fun_X_24(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_25(X))) | p9(tptp_fun_Y_25(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X))))))))))))))))))))))))))))))))))))))))) | ![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))),
% 6.53/4.55 inference(tautology,[status(thm)],[])).
% 6.53/4.55 tff(734,plain,
% 6.53/4.55 (![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))),
% 6.53/4.55 inference(unit_resolution,[status(thm)],[733, 300])).
% 6.53/4.55 tff(735,plain,
% 6.53/4.55 (((~![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | ((~r1(X!37, Y!38)) | ![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) <=> ((~![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~r1(X!37, Y!38)) | ![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))),
% 6.53/4.55 inference(rewrite,[status(thm)],[])).
% 6.53/4.55 tff(736,plain,
% 6.53/4.55 ((~![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | ((~r1(X!37, Y!38)) | ![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))),
% 6.53/4.55 inference(quant_inst,[status(thm)],[])).
% 6.53/4.55 tff(737,plain,
% 6.53/4.55 ((~![Y: $i] : ((~r1(X!37, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))))) | (~r1(X!37, Y!38)) | ![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X))))))))))))))),
% 6.53/4.55 inference(modus_ponens,[status(thm)],[736, 735])).
% 6.53/4.55 tff(738,plain,
% 6.53/4.55 (![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X))))))))))))))),
% 6.53/4.55 inference(unit_resolution,[status(thm)],[737, 178, 734])).
% 6.53/4.55 tff(739,plain,
% 6.53/4.55 (((~![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X))))))))))))))) | ((~r1(Y!38, X!39)) | ![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X))))))))))))))) <=> ((~![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X))))))))))))))) | (~r1(Y!38, X!39)) | ![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X))))))))))))))),
% 6.53/4.55 inference(rewrite,[status(thm)],[])).
% 6.53/4.55 tff(740,plain,
% 6.53/4.55 ((~![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X))))))))))))))) | ((~r1(Y!38, X!39)) | ![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X))))))))))))))),
% 6.53/4.55 inference(quant_inst,[status(thm)],[])).
% 6.53/4.55 tff(741,plain,
% 6.53/4.55 ((~![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X))))))))))))))) | (~r1(Y!38, X!39)) | ![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))),
% 6.53/4.55 inference(modus_ponens,[status(thm)],[740, 739])).
% 6.53/4.55 tff(742,plain,
% 6.53/4.55 (![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))),
% 6.53/4.55 inference(unit_resolution,[status(thm)],[741, 183, 738])).
% 6.53/4.55 tff(743,plain,
% 6.53/4.55 (((~![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))) | ((~r1(X!39, Y!40)) | ![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))) <=> ((~![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))) | (~r1(X!39, Y!40)) | ![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))),
% 6.53/4.55 inference(rewrite,[status(thm)],[])).
% 6.53/4.55 tff(744,plain,
% 6.53/4.55 ((~![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))) | ((~r1(X!39, Y!40)) | ![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))),
% 6.53/4.55 inference(quant_inst,[status(thm)],[])).
% 6.53/4.55 tff(745,plain,
% 6.53/4.55 ((~![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))))) | (~r1(X!39, Y!40)) | ![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X))))))))))))),
% 6.53/4.56 inference(modus_ponens,[status(thm)],[744, 743])).
% 6.53/4.56 tff(746,plain,
% 6.53/4.56 (![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X))))))))))))),
% 6.53/4.56 inference(unit_resolution,[status(thm)],[745, 188, 742])).
% 6.53/4.56 tff(747,plain,
% 6.53/4.56 (((~![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X))))))))))))) | ((~r1(Y!40, X!41)) | ![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X))))))))))))) <=> ((~![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X))))))))))))) | (~r1(Y!40, X!41)) | ![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X))))))))))))),
% 6.53/4.56 inference(rewrite,[status(thm)],[])).
% 6.53/4.56 tff(748,plain,
% 6.53/4.56 ((~![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X))))))))))))) | ((~r1(Y!40, X!41)) | ![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X))))))))))))),
% 6.53/4.56 inference(quant_inst,[status(thm)],[])).
% 6.53/4.56 tff(749,plain,
% 6.53/4.56 ((~![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X))))))))))))) | (~r1(Y!40, X!41)) | ![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))),
% 6.53/4.56 inference(modus_ponens,[status(thm)],[748, 747])).
% 6.53/4.56 tff(750,plain,
% 6.53/4.56 (![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))),
% 6.53/4.56 inference(unit_resolution,[status(thm)],[749, 193, 746])).
% 6.53/4.56 tff(751,plain,
% 6.53/4.56 (((~![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))) | ((~r1(X!41, Y!42)) | ![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))) <=> ((~![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))) | (~r1(X!41, Y!42)) | ![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))),
% 6.53/4.56 inference(rewrite,[status(thm)],[])).
% 6.53/4.56 tff(752,plain,
% 6.53/4.56 ((~![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))) | ((~r1(X!41, Y!42)) | ![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))),
% 6.53/4.56 inference(quant_inst,[status(thm)],[])).
% 6.53/4.56 tff(753,plain,
% 6.53/4.56 ((~![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))))) | (~r1(X!41, Y!42)) | ![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X))))))))))),
% 6.53/4.56 inference(modus_ponens,[status(thm)],[752, 751])).
% 6.53/4.56 tff(754,plain,
% 6.53/4.56 (![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X))))))))))),
% 6.53/4.56 inference(unit_resolution,[status(thm)],[753, 198, 750])).
% 6.53/4.56 tff(755,plain,
% 6.53/4.56 (((~![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X))))))))))) | ((~r1(Y!42, X!43)) | ![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X))))))))))) <=> ((~![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X))))))))))) | (~r1(Y!42, X!43)) | ![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X))))))))))),
% 6.53/4.56 inference(rewrite,[status(thm)],[])).
% 6.53/4.56 tff(756,plain,
% 6.53/4.56 ((~![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X))))))))))) | ((~r1(Y!42, X!43)) | ![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X))))))))))),
% 6.53/4.56 inference(quant_inst,[status(thm)],[])).
% 6.53/4.56 tff(757,plain,
% 6.53/4.56 ((~![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X))))))))))) | (~r1(Y!42, X!43)) | ![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))),
% 6.53/4.56 inference(modus_ponens,[status(thm)],[756, 755])).
% 6.53/4.56 tff(758,plain,
% 6.53/4.56 (![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))),
% 6.53/4.56 inference(unit_resolution,[status(thm)],[757, 206, 754])).
% 6.53/4.56 tff(759,plain,
% 6.53/4.56 (((~![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))) | ((~r1(X!43, Y!44)) | ![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))) <=> ((~![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))) | (~r1(X!43, Y!44)) | ![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))),
% 6.53/4.56 inference(rewrite,[status(thm)],[])).
% 6.53/4.56 tff(760,plain,
% 6.53/4.56 ((~![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))) | ((~r1(X!43, Y!44)) | ![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))),
% 6.53/4.56 inference(quant_inst,[status(thm)],[])).
% 6.53/4.56 tff(761,plain,
% 6.53/4.56 ((~![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))))) | (~r1(X!43, Y!44)) | ![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X))))))))),
% 6.53/4.56 inference(modus_ponens,[status(thm)],[760, 759])).
% 6.53/4.56 tff(762,plain,
% 6.53/4.56 (![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X))))))))),
% 6.53/4.56 inference(unit_resolution,[status(thm)],[761, 215, 758])).
% 6.53/4.56 tff(763,plain,
% 6.53/4.56 (((~![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X))))))))) | ((~r1(Y!44, X!45)) | ![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X))))))))) <=> ((~![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X))))))))) | (~r1(Y!44, X!45)) | ![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X))))))))),
% 6.53/4.56 inference(rewrite,[status(thm)],[])).
% 6.53/4.56 tff(764,plain,
% 6.53/4.56 ((~![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X))))))))) | ((~r1(Y!44, X!45)) | ![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X))))))))),
% 6.53/4.56 inference(quant_inst,[status(thm)],[])).
% 6.53/4.56 tff(765,plain,
% 6.53/4.56 ((~![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X))))))))) | (~r1(Y!44, X!45)) | ![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))),
% 6.53/4.56 inference(modus_ponens,[status(thm)],[764, 763])).
% 6.53/4.56 tff(766,plain,
% 6.53/4.56 (![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))),
% 6.53/4.56 inference(unit_resolution,[status(thm)],[765, 224, 762])).
% 6.53/4.56 tff(767,plain,
% 6.53/4.56 (((~![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))) | ((~r1(X!45, Y!46)) | ![X: $i] : ((~r1(Y!46, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))) <=> ((~![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))) | (~r1(X!45, Y!46)) | ![X: $i] : ((~r1(Y!46, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))),
% 6.53/4.56 inference(rewrite,[status(thm)],[])).
% 6.53/4.56 tff(768,plain,
% 6.53/4.56 ((~![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))) | ((~r1(X!45, Y!46)) | ![X: $i] : ((~r1(Y!46, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))),
% 6.53/4.56 inference(quant_inst,[status(thm)],[])).
% 6.53/4.56 tff(769,plain,
% 6.53/4.56 ((~![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X)))))))) | (~r1(X!45, Y!46)) | ![X: $i] : ((~r1(Y!46, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X))))))),
% 6.53/4.56 inference(modus_ponens,[status(thm)],[768, 767])).
% 6.53/4.56 tff(770,plain,
% 6.53/4.56 (![X: $i] : ((~r1(Y!46, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X))))))),
% 6.53/4.56 inference(unit_resolution,[status(thm)],[769, 233, 766])).
% 6.53/4.56 tff(771,plain,
% 6.53/4.56 (((~![X: $i] : ((~r1(Y!46, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X))))))) | ((~r1(Y!46, X!47)) | (~((~((~p10(X!47)) | (~p11(X!47)))) | (~(p10(X!47) | p11(X!47))))))) <=> ((~![X: $i] : ((~r1(Y!46, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X))))))) | (~r1(Y!46, X!47)) | (~((~((~p10(X!47)) | (~p11(X!47)))) | (~(p10(X!47) | p11(X!47))))))),
% 6.53/4.56 inference(rewrite,[status(thm)],[])).
% 6.53/4.56 tff(772,plain,
% 6.53/4.56 ((~![X: $i] : ((~r1(Y!46, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X))))))) | ((~r1(Y!46, X!47)) | (~((~((~p10(X!47)) | (~p11(X!47)))) | (~(p10(X!47) | p11(X!47))))))),
% 6.53/4.56 inference(quant_inst,[status(thm)],[])).
% 6.53/4.56 tff(773,plain,
% 6.53/4.56 ((~![X: $i] : ((~r1(Y!46, X)) | (~((~((~p10(X)) | (~p11(X)))) | (~(p10(X) | p11(X))))))) | (~r1(Y!46, X!47)) | (~((~((~p10(X!47)) | (~p11(X!47)))) | (~(p10(X!47) | p11(X!47)))))),
% 6.53/4.56 inference(modus_ponens,[status(thm)],[772, 771])).
% 6.53/4.56 tff(774,plain,
% 6.53/4.56 ($false),
% 6.53/4.56 inference(unit_resolution,[status(thm)],[773, 241, 770, 732])).
% 6.53/4.56 tff(775,plain,(~((~((~p10(X!47)) | (~p11(X!47)))) | (~(p10(X!47) | p11(X!47))))), inference(lemma,lemma(discharge,[]))).
% 6.53/4.56 tff(776,plain,
% 6.53/4.56 (((~((~p10(X!47)) | (~p11(X!47)))) | (~(p10(X!47) | p11(X!47)))) | (p10(X!47) | p11(X!47))),
% 6.53/4.56 inference(tautology,[status(thm)],[])).
% 6.53/4.56 tff(777,plain,
% 6.53/4.56 (p10(X!47) | p11(X!47)),
% 6.53/4.56 inference(unit_resolution,[status(thm)],[776, 775])).
% 6.53/4.56 tff(778,plain,
% 6.53/4.56 ((~(p10(X!47) | p11(X!47))) | p10(X!47) | p11(X!47)),
% 6.53/4.56 inference(tautology,[status(thm)],[])).
% 6.53/4.56 tff(779,plain,
% 6.53/4.56 (p10(X!47) | p11(X!47)),
% 6.53/4.56 inference(unit_resolution,[status(thm)],[778, 777])).
% 6.53/4.56 tff(780,plain,
% 6.53/4.56 (p10(X!47)),
% 6.53/4.56 inference(unit_resolution,[status(thm)],[779, 731])).
% 6.53/4.56 tff(781,assumption,((~((~p10(X!47)) | (~p9(X!47)))) | (~(p10(X!47) | p9(X!47)))), introduced(assumption)).
% 6.53/4.56 tff(782,plain,
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% 6.53/4.56 inference(tautology,[status(thm)],[])).
% 6.53/4.56 tff(783,plain,
% 6.53/4.56 (![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))),
% 6.53/4.56 inference(unit_resolution,[status(thm)],[782, 306])).
% 6.53/4.56 tff(784,plain,
% 6.53/4.56 (((~![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | ((~r1(Y!38, X!39)) | ![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) <=> ((~![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~r1(Y!38, X!39)) | ![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))),
% 6.53/4.56 inference(rewrite,[status(thm)],[])).
% 6.53/4.56 tff(785,plain,
% 6.53/4.56 ((~![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | ((~r1(Y!38, X!39)) | ![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))),
% 6.53/4.56 inference(quant_inst,[status(thm)],[])).
% 6.53/4.56 tff(786,plain,
% 6.53/4.56 ((~![X: $i] : ((~r1(Y!38, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))))) | (~r1(Y!38, X!39)) | ![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X)))))))))))))),
% 6.53/4.56 inference(modus_ponens,[status(thm)],[785, 784])).
% 6.53/4.56 tff(787,plain,
% 6.53/4.56 (![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X)))))))))))))),
% 6.53/4.56 inference(unit_resolution,[status(thm)],[786, 183, 783])).
% 6.53/4.56 tff(788,plain,
% 6.53/4.56 (((~![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X)))))))))))))) | ((~r1(X!39, Y!40)) | ![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X)))))))))))))) <=> ((~![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X)))))))))))))) | (~r1(X!39, Y!40)) | ![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X)))))))))))))),
% 6.53/4.56 inference(rewrite,[status(thm)],[])).
% 6.53/4.56 tff(789,plain,
% 6.53/4.56 ((~![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X)))))))))))))) | ((~r1(X!39, Y!40)) | ![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X)))))))))))))),
% 6.53/4.56 inference(quant_inst,[status(thm)],[])).
% 6.53/4.56 tff(790,plain,
% 6.53/4.56 ((~![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X)))))))))))))) | (~r1(X!39, Y!40)) | ![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))),
% 6.53/4.56 inference(modus_ponens,[status(thm)],[789, 788])).
% 6.53/4.56 tff(791,plain,
% 6.53/4.56 (![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))),
% 6.53/4.56 inference(unit_resolution,[status(thm)],[790, 188, 787])).
% 6.53/4.56 tff(792,plain,
% 6.53/4.56 (((~![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))) | ((~r1(Y!40, X!41)) | ![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))) <=> ((~![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))) | (~r1(Y!40, X!41)) | ![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))),
% 6.53/4.56 inference(rewrite,[status(thm)],[])).
% 6.53/4.56 tff(793,plain,
% 6.53/4.56 ((~![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))) | ((~r1(Y!40, X!41)) | ![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))),
% 6.53/4.56 inference(quant_inst,[status(thm)],[])).
% 6.53/4.56 tff(794,plain,
% 6.53/4.56 ((~![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))))) | (~r1(Y!40, X!41)) | ![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X)))))))))))),
% 6.53/4.56 inference(modus_ponens,[status(thm)],[793, 792])).
% 6.53/4.56 tff(795,plain,
% 6.53/4.56 (![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X)))))))))))),
% 6.53/4.56 inference(unit_resolution,[status(thm)],[794, 193, 791])).
% 6.53/4.56 tff(796,plain,
% 6.53/4.56 (((~![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X)))))))))))) | ((~r1(X!41, Y!42)) | ![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X)))))))))))) <=> ((~![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X)))))))))))) | (~r1(X!41, Y!42)) | ![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X)))))))))))),
% 6.53/4.56 inference(rewrite,[status(thm)],[])).
% 6.53/4.56 tff(797,plain,
% 6.53/4.56 ((~![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X)))))))))))) | ((~r1(X!41, Y!42)) | ![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X)))))))))))),
% 6.53/4.56 inference(quant_inst,[status(thm)],[])).
% 6.53/4.56 tff(798,plain,
% 6.53/4.56 ((~![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X)))))))))))) | (~r1(X!41, Y!42)) | ![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))),
% 6.53/4.56 inference(modus_ponens,[status(thm)],[797, 796])).
% 6.53/4.56 tff(799,plain,
% 6.53/4.56 (![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))),
% 6.53/4.56 inference(unit_resolution,[status(thm)],[798, 198, 795])).
% 6.53/4.56 tff(800,plain,
% 6.53/4.56 (((~![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))) | ((~r1(Y!42, X!43)) | ![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))) <=> ((~![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))) | (~r1(Y!42, X!43)) | ![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))),
% 6.53/4.56 inference(rewrite,[status(thm)],[])).
% 6.53/4.56 tff(801,plain,
% 6.53/4.56 ((~![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))) | ((~r1(Y!42, X!43)) | ![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))),
% 6.53/4.56 inference(quant_inst,[status(thm)],[])).
% 6.53/4.56 tff(802,plain,
% 6.53/4.56 ((~![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))))) | (~r1(Y!42, X!43)) | ![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X)))))))))),
% 6.53/4.56 inference(modus_ponens,[status(thm)],[801, 800])).
% 6.53/4.56 tff(803,plain,
% 6.53/4.56 (![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X)))))))))),
% 6.53/4.56 inference(unit_resolution,[status(thm)],[802, 206, 799])).
% 6.53/4.56 tff(804,plain,
% 6.53/4.56 (((~![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X)))))))))) | ((~r1(X!43, Y!44)) | ![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X)))))))))) <=> ((~![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X)))))))))) | (~r1(X!43, Y!44)) | ![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X)))))))))),
% 6.53/4.56 inference(rewrite,[status(thm)],[])).
% 6.53/4.56 tff(805,plain,
% 6.53/4.56 ((~![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X)))))))))) | ((~r1(X!43, Y!44)) | ![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X)))))))))),
% 6.53/4.56 inference(quant_inst,[status(thm)],[])).
% 6.53/4.56 tff(806,plain,
% 6.53/4.56 ((~![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X)))))))))) | (~r1(X!43, Y!44)) | ![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))),
% 6.53/4.56 inference(modus_ponens,[status(thm)],[805, 804])).
% 6.53/4.56 tff(807,plain,
% 6.53/4.56 (![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))),
% 6.53/4.56 inference(unit_resolution,[status(thm)],[806, 215, 803])).
% 6.53/4.56 tff(808,plain,
% 6.53/4.56 (((~![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))) | ((~r1(Y!44, X!45)) | ![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))) <=> ((~![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))) | (~r1(Y!44, X!45)) | ![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))),
% 6.53/4.56 inference(rewrite,[status(thm)],[])).
% 6.53/4.56 tff(809,plain,
% 6.53/4.56 ((~![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))) | ((~r1(Y!44, X!45)) | ![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))),
% 6.53/4.56 inference(quant_inst,[status(thm)],[])).
% 6.53/4.56 tff(810,plain,
% 6.53/4.56 ((~![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))))) | (~r1(Y!44, X!45)) | ![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X)))))))),
% 6.53/4.56 inference(modus_ponens,[status(thm)],[809, 808])).
% 6.53/4.56 tff(811,plain,
% 6.53/4.56 (![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X)))))))),
% 6.53/4.56 inference(unit_resolution,[status(thm)],[810, 224, 807])).
% 6.53/4.56 tff(812,plain,
% 6.53/4.56 (((~![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X)))))))) | ((~r1(X!45, Y!46)) | ![X: $i] : ((~r1(Y!46, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X)))))))) <=> ((~![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X)))))))) | (~r1(X!45, Y!46)) | ![X: $i] : ((~r1(Y!46, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X)))))))),
% 6.53/4.57 inference(rewrite,[status(thm)],[])).
% 6.53/4.57 tff(813,plain,
% 6.53/4.57 ((~![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X)))))))) | ((~r1(X!45, Y!46)) | ![X: $i] : ((~r1(Y!46, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X)))))))),
% 6.53/4.57 inference(quant_inst,[status(thm)],[])).
% 6.53/4.57 tff(814,plain,
% 6.53/4.57 ((~![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X)))))))) | (~r1(X!45, Y!46)) | ![X: $i] : ((~r1(Y!46, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))),
% 6.53/4.57 inference(modus_ponens,[status(thm)],[813, 812])).
% 6.53/4.57 tff(815,plain,
% 6.53/4.57 (![X: $i] : ((~r1(Y!46, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))),
% 6.53/4.57 inference(unit_resolution,[status(thm)],[814, 233, 811])).
% 6.53/4.57 tff(816,plain,
% 6.53/4.57 (((~![X: $i] : ((~r1(Y!46, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))) | ((~r1(Y!46, X!47)) | (~((~((~p10(X!47)) | (~p9(X!47)))) | (~(p10(X!47) | p9(X!47))))))) <=> ((~![X: $i] : ((~r1(Y!46, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))) | (~r1(Y!46, X!47)) | (~((~((~p10(X!47)) | (~p9(X!47)))) | (~(p10(X!47) | p9(X!47))))))),
% 6.53/4.57 inference(rewrite,[status(thm)],[])).
% 6.53/4.57 tff(817,plain,
% 6.53/4.57 ((~![X: $i] : ((~r1(Y!46, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))) | ((~r1(Y!46, X!47)) | (~((~((~p10(X!47)) | (~p9(X!47)))) | (~(p10(X!47) | p9(X!47))))))),
% 6.53/4.57 inference(quant_inst,[status(thm)],[])).
% 6.53/4.57 tff(818,plain,
% 6.53/4.57 ((~![X: $i] : ((~r1(Y!46, X)) | (~((~((~p10(X)) | (~p9(X)))) | (~(p10(X) | p9(X))))))) | (~r1(Y!46, X!47)) | (~((~((~p10(X!47)) | (~p9(X!47)))) | (~(p10(X!47) | p9(X!47)))))),
% 6.53/4.57 inference(modus_ponens,[status(thm)],[817, 816])).
% 6.53/4.57 tff(819,plain,
% 6.53/4.57 ($false),
% 6.53/4.57 inference(unit_resolution,[status(thm)],[818, 241, 815, 781])).
% 6.53/4.57 tff(820,plain,(~((~((~p10(X!47)) | (~p9(X!47)))) | (~(p10(X!47) | p9(X!47))))), inference(lemma,lemma(discharge,[]))).
% 6.53/4.57 tff(821,plain,
% 6.53/4.57 (((~((~p10(X!47)) | (~p9(X!47)))) | (~(p10(X!47) | p9(X!47)))) | ((~p10(X!47)) | (~p9(X!47)))),
% 6.53/4.57 inference(tautology,[status(thm)],[])).
% 6.53/4.57 tff(822,plain,
% 6.53/4.57 ((~p10(X!47)) | (~p9(X!47))),
% 6.53/4.57 inference(unit_resolution,[status(thm)],[821, 820])).
% 6.53/4.57 tff(823,plain,
% 6.53/4.57 ((~((~p10(X!47)) | (~p9(X!47)))) | (~p10(X!47)) | (~p9(X!47))),
% 6.53/4.57 inference(tautology,[status(thm)],[])).
% 6.53/4.57 tff(824,plain,
% 6.53/4.57 ((~p10(X!47)) | (~p9(X!47))),
% 6.53/4.57 inference(unit_resolution,[status(thm)],[823, 822])).
% 6.53/4.57 tff(825,plain,
% 6.53/4.57 (~p9(X!47)),
% 6.53/4.57 inference(unit_resolution,[status(thm)],[824, 780])).
% 6.53/4.57 tff(826,assumption,((~((~p8(X!47)) | (~p9(X!47)))) | (~(p8(X!47) | p9(X!47)))), introduced(assumption)).
% 6.53/4.57 tff(827,plain,
% 6.53/4.57 (((~r1(X!39, tptp_fun_Y_25(X!39))) | p9(tptp_fun_Y_25(X!39)) | (~![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~![Y: $i] : ((~r1(X!39, Y)) | (~((~r1(Y, tptp_fun_X_26(Y))) | p8(tptp_fun_X_26(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X))))))))))))))))))))))))))))))))) | ![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))),
% 6.53/4.57 inference(tautology,[status(thm)],[])).
% 6.53/4.57 tff(828,plain,
% 6.53/4.57 (![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))),
% 6.53/4.57 inference(unit_resolution,[status(thm)],[827, 312])).
% 6.53/4.57 tff(829,plain,
% 6.53/4.57 (((~![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | ((~r1(X!39, Y!40)) | ![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) <=> ((~![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~r1(X!39, Y!40)) | ![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))),
% 6.53/4.57 inference(rewrite,[status(thm)],[])).
% 6.53/4.57 tff(830,plain,
% 6.53/4.57 ((~![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | ((~r1(X!39, Y!40)) | ![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))),
% 6.53/4.57 inference(quant_inst,[status(thm)],[])).
% 6.53/4.57 tff(831,plain,
% 6.53/4.57 ((~![Y: $i] : ((~r1(X!39, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))))) | (~r1(X!39, Y!40)) | ![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X))))))))))))),
% 6.53/4.57 inference(modus_ponens,[status(thm)],[830, 829])).
% 6.53/4.57 tff(832,plain,
% 6.53/4.57 (![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X))))))))))))),
% 6.53/4.57 inference(unit_resolution,[status(thm)],[831, 188, 828])).
% 6.53/4.57 tff(833,plain,
% 6.53/4.57 (((~![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X))))))))))))) | ((~r1(Y!40, X!41)) | ![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X))))))))))))) <=> ((~![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X))))))))))))) | (~r1(Y!40, X!41)) | ![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X))))))))))))),
% 6.53/4.57 inference(rewrite,[status(thm)],[])).
% 6.53/4.57 tff(834,plain,
% 6.53/4.57 ((~![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X))))))))))))) | ((~r1(Y!40, X!41)) | ![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X))))))))))))),
% 6.53/4.57 inference(quant_inst,[status(thm)],[])).
% 6.53/4.57 tff(835,plain,
% 6.53/4.57 ((~![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X))))))))))))) | (~r1(Y!40, X!41)) | ![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))),
% 6.53/4.57 inference(modus_ponens,[status(thm)],[834, 833])).
% 6.53/4.57 tff(836,plain,
% 6.53/4.57 (![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))),
% 6.53/4.57 inference(unit_resolution,[status(thm)],[835, 193, 832])).
% 6.53/4.57 tff(837,plain,
% 6.53/4.57 (((~![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))) | ((~r1(X!41, Y!42)) | ![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))) <=> ((~![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))) | (~r1(X!41, Y!42)) | ![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))),
% 6.53/4.57 inference(rewrite,[status(thm)],[])).
% 6.53/4.57 tff(838,plain,
% 6.53/4.57 ((~![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))) | ((~r1(X!41, Y!42)) | ![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))),
% 6.53/4.57 inference(quant_inst,[status(thm)],[])).
% 6.53/4.57 tff(839,plain,
% 6.53/4.57 ((~![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))))) | (~r1(X!41, Y!42)) | ![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X))))))))))),
% 6.56/4.57 inference(modus_ponens,[status(thm)],[838, 837])).
% 6.56/4.57 tff(840,plain,
% 6.56/4.57 (![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X))))))))))),
% 6.56/4.57 inference(unit_resolution,[status(thm)],[839, 198, 836])).
% 6.56/4.57 tff(841,plain,
% 6.56/4.57 (((~![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X))))))))))) | ((~r1(Y!42, X!43)) | ![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X))))))))))) <=> ((~![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X))))))))))) | (~r1(Y!42, X!43)) | ![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X))))))))))),
% 6.56/4.57 inference(rewrite,[status(thm)],[])).
% 6.56/4.57 tff(842,plain,
% 6.56/4.57 ((~![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X))))))))))) | ((~r1(Y!42, X!43)) | ![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X))))))))))),
% 6.56/4.57 inference(quant_inst,[status(thm)],[])).
% 6.56/4.57 tff(843,plain,
% 6.56/4.57 ((~![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X))))))))))) | (~r1(Y!42, X!43)) | ![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))),
% 6.56/4.57 inference(modus_ponens,[status(thm)],[842, 841])).
% 6.56/4.57 tff(844,plain,
% 6.56/4.57 (![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))),
% 6.56/4.57 inference(unit_resolution,[status(thm)],[843, 206, 840])).
% 6.56/4.57 tff(845,plain,
% 6.56/4.57 (((~![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))) | ((~r1(X!43, Y!44)) | ![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))) <=> ((~![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))) | (~r1(X!43, Y!44)) | ![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))),
% 6.56/4.57 inference(rewrite,[status(thm)],[])).
% 6.56/4.57 tff(846,plain,
% 6.56/4.57 ((~![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))) | ((~r1(X!43, Y!44)) | ![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))),
% 6.56/4.57 inference(quant_inst,[status(thm)],[])).
% 6.56/4.57 tff(847,plain,
% 6.56/4.57 ((~![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))))) | (~r1(X!43, Y!44)) | ![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X))))))))),
% 6.56/4.57 inference(modus_ponens,[status(thm)],[846, 845])).
% 6.56/4.57 tff(848,plain,
% 6.56/4.57 (![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X))))))))),
% 6.56/4.57 inference(unit_resolution,[status(thm)],[847, 215, 844])).
% 6.56/4.57 tff(849,plain,
% 6.56/4.57 (((~![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X))))))))) | ((~r1(Y!44, X!45)) | ![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X))))))))) <=> ((~![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X))))))))) | (~r1(Y!44, X!45)) | ![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X))))))))),
% 6.56/4.57 inference(rewrite,[status(thm)],[])).
% 6.56/4.57 tff(850,plain,
% 6.56/4.57 ((~![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X))))))))) | ((~r1(Y!44, X!45)) | ![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X))))))))),
% 6.56/4.57 inference(quant_inst,[status(thm)],[])).
% 6.56/4.57 tff(851,plain,
% 6.56/4.57 ((~![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X))))))))) | (~r1(Y!44, X!45)) | ![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))),
% 6.56/4.57 inference(modus_ponens,[status(thm)],[850, 849])).
% 6.56/4.57 tff(852,plain,
% 6.56/4.57 (![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))),
% 6.56/4.57 inference(unit_resolution,[status(thm)],[851, 224, 848])).
% 6.56/4.57 tff(853,plain,
% 6.56/4.57 (((~![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))) | ((~r1(X!45, Y!46)) | ![X: $i] : ((~r1(Y!46, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))) <=> ((~![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))) | (~r1(X!45, Y!46)) | ![X: $i] : ((~r1(Y!46, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))),
% 6.56/4.57 inference(rewrite,[status(thm)],[])).
% 6.56/4.57 tff(854,plain,
% 6.56/4.57 ((~![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))) | ((~r1(X!45, Y!46)) | ![X: $i] : ((~r1(Y!46, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))),
% 6.56/4.57 inference(quant_inst,[status(thm)],[])).
% 6.56/4.57 tff(855,plain,
% 6.56/4.57 ((~![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X)))))))) | (~r1(X!45, Y!46)) | ![X: $i] : ((~r1(Y!46, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X))))))),
% 6.56/4.57 inference(modus_ponens,[status(thm)],[854, 853])).
% 6.56/4.57 tff(856,plain,
% 6.56/4.57 (![X: $i] : ((~r1(Y!46, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X))))))),
% 6.56/4.57 inference(unit_resolution,[status(thm)],[855, 233, 852])).
% 6.56/4.57 tff(857,plain,
% 6.56/4.57 (((~![X: $i] : ((~r1(Y!46, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X))))))) | ((~r1(Y!46, X!47)) | (~((~((~p8(X!47)) | (~p9(X!47)))) | (~(p8(X!47) | p9(X!47))))))) <=> ((~![X: $i] : ((~r1(Y!46, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X))))))) | (~r1(Y!46, X!47)) | (~((~((~p8(X!47)) | (~p9(X!47)))) | (~(p8(X!47) | p9(X!47))))))),
% 6.56/4.57 inference(rewrite,[status(thm)],[])).
% 6.56/4.57 tff(858,plain,
% 6.56/4.57 ((~![X: $i] : ((~r1(Y!46, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X))))))) | ((~r1(Y!46, X!47)) | (~((~((~p8(X!47)) | (~p9(X!47)))) | (~(p8(X!47) | p9(X!47))))))),
% 6.56/4.57 inference(quant_inst,[status(thm)],[])).
% 6.56/4.57 tff(859,plain,
% 6.56/4.57 ((~![X: $i] : ((~r1(Y!46, X)) | (~((~((~p8(X)) | (~p9(X)))) | (~(p8(X) | p9(X))))))) | (~r1(Y!46, X!47)) | (~((~((~p8(X!47)) | (~p9(X!47)))) | (~(p8(X!47) | p9(X!47)))))),
% 6.56/4.57 inference(modus_ponens,[status(thm)],[858, 857])).
% 6.56/4.57 tff(860,plain,
% 6.56/4.57 ($false),
% 6.56/4.57 inference(unit_resolution,[status(thm)],[859, 241, 856, 826])).
% 6.56/4.57 tff(861,plain,(~((~((~p8(X!47)) | (~p9(X!47)))) | (~(p8(X!47) | p9(X!47))))), inference(lemma,lemma(discharge,[]))).
% 6.56/4.57 tff(862,plain,
% 6.56/4.57 (((~((~p8(X!47)) | (~p9(X!47)))) | (~(p8(X!47) | p9(X!47)))) | (p8(X!47) | p9(X!47))),
% 6.56/4.57 inference(tautology,[status(thm)],[])).
% 6.56/4.57 tff(863,plain,
% 6.56/4.57 (p8(X!47) | p9(X!47)),
% 6.56/4.57 inference(unit_resolution,[status(thm)],[862, 861])).
% 6.56/4.57 tff(864,plain,
% 6.56/4.57 ((~(p8(X!47) | p9(X!47))) | p8(X!47) | p9(X!47)),
% 6.56/4.57 inference(tautology,[status(thm)],[])).
% 6.56/4.57 tff(865,plain,
% 6.56/4.57 (p8(X!47) | p9(X!47)),
% 6.56/4.57 inference(unit_resolution,[status(thm)],[864, 863])).
% 6.56/4.57 tff(866,plain,
% 6.56/4.57 (p8(X!47)),
% 6.56/4.57 inference(unit_resolution,[status(thm)],[865, 825])).
% 6.56/4.57 tff(867,assumption,((~((~p8(X!47)) | (~p7(X!47)))) | (~(p7(X!47) | p8(X!47)))), introduced(assumption)).
% 6.56/4.57 tff(868,plain,
% 6.56/4.57 (((~r1(Y!40, tptp_fun_X_26(Y!40))) | p8(tptp_fun_X_26(Y!40)) | (~![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~![X: $i] : ((~r1(Y!40, X)) | (~((~r1(X, tptp_fun_Y_27(X))) | p7(tptp_fun_Y_27(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p7(X)))) | (~(p6(X) | p7(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_28(Y))) | p6(tptp_fun_X_28(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p6(X)) | (~p5(X)))) | (~(p5(X) | p6(X))))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_29(X))) | p5(tptp_fun_Y_29(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p5(X)))) | (~(p4(X) | p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_30(Y))) | p4(tptp_fun_X_30(Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p4(X)) | (~p3(X)))) | (~(p3(X) | p4(X))))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_31(X))) | p3(tptp_fun_Y_31(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p3(X)))) | (~(p2(X) | p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p2(X)) | (~p1(X)))) | (~(p1(X) | p2(X))))))))))))))))))))))))))))) | ![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))),
% 6.56/4.57 inference(tautology,[status(thm)],[])).
% 6.56/4.57 tff(869,plain,
% 6.56/4.57 (![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))),
% 6.56/4.57 inference(unit_resolution,[status(thm)],[868, 318])).
% 6.56/4.57 tff(870,plain,
% 6.56/4.57 (((~![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | ((~r1(Y!40, X!41)) | ![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) <=> ((~![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~r1(Y!40, X!41)) | ![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))),
% 6.56/4.57 inference(rewrite,[status(thm)],[])).
% 6.56/4.57 tff(871,plain,
% 6.56/4.57 ((~![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | ((~r1(Y!40, X!41)) | ![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))),
% 6.56/4.57 inference(quant_inst,[status(thm)],[])).
% 6.56/4.57 tff(872,plain,
% 6.56/4.57 ((~![X: $i] : ((~r1(Y!40, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))))) | (~r1(Y!40, X!41)) | ![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X)))))))))))),
% 6.56/4.57 inference(modus_ponens,[status(thm)],[871, 870])).
% 6.56/4.57 tff(873,plain,
% 6.56/4.57 (![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X)))))))))))),
% 6.56/4.57 inference(unit_resolution,[status(thm)],[872, 193, 869])).
% 6.56/4.57 tff(874,plain,
% 6.56/4.57 (((~![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X)))))))))))) | ((~r1(X!41, Y!42)) | ![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X)))))))))))) <=> ((~![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X)))))))))))) | (~r1(X!41, Y!42)) | ![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X)))))))))))),
% 6.56/4.57 inference(rewrite,[status(thm)],[])).
% 6.56/4.57 tff(875,plain,
% 6.56/4.57 ((~![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X)))))))))))) | ((~r1(X!41, Y!42)) | ![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X)))))))))))),
% 6.56/4.57 inference(quant_inst,[status(thm)],[])).
% 6.56/4.57 tff(876,plain,
% 6.56/4.57 ((~![Y: $i] : ((~r1(X!41, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X)))))))))))) | (~r1(X!41, Y!42)) | ![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))),
% 6.56/4.57 inference(modus_ponens,[status(thm)],[875, 874])).
% 6.56/4.57 tff(877,plain,
% 6.56/4.57 (![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))),
% 6.56/4.57 inference(unit_resolution,[status(thm)],[876, 198, 873])).
% 6.56/4.57 tff(878,plain,
% 6.56/4.57 (((~![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))) | ((~r1(Y!42, X!43)) | ![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))) <=> ((~![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))) | (~r1(Y!42, X!43)) | ![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))),
% 6.56/4.58 inference(rewrite,[status(thm)],[])).
% 6.56/4.58 tff(879,plain,
% 6.56/4.58 ((~![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))) | ((~r1(Y!42, X!43)) | ![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))),
% 6.56/4.58 inference(quant_inst,[status(thm)],[])).
% 6.56/4.58 tff(880,plain,
% 6.56/4.58 ((~![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))))) | (~r1(Y!42, X!43)) | ![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X)))))))))),
% 6.56/4.58 inference(modus_ponens,[status(thm)],[879, 878])).
% 6.56/4.58 tff(881,plain,
% 6.56/4.58 (![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X)))))))))),
% 6.56/4.58 inference(unit_resolution,[status(thm)],[880, 206, 877])).
% 6.56/4.58 tff(882,plain,
% 6.56/4.58 (((~![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X)))))))))) | ((~r1(X!43, Y!44)) | ![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X)))))))))) <=> ((~![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X)))))))))) | (~r1(X!43, Y!44)) | ![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X)))))))))),
% 6.56/4.58 inference(rewrite,[status(thm)],[])).
% 6.56/4.58 tff(883,plain,
% 6.56/4.58 ((~![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X)))))))))) | ((~r1(X!43, Y!44)) | ![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X)))))))))),
% 6.56/4.58 inference(quant_inst,[status(thm)],[])).
% 6.56/4.58 tff(884,plain,
% 6.56/4.58 ((~![Y: $i] : ((~r1(X!43, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X)))))))))) | (~r1(X!43, Y!44)) | ![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))),
% 6.56/4.58 inference(modus_ponens,[status(thm)],[883, 882])).
% 6.56/4.58 tff(885,plain,
% 6.56/4.58 (![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))),
% 6.56/4.58 inference(unit_resolution,[status(thm)],[884, 215, 881])).
% 6.56/4.58 tff(886,plain,
% 6.56/4.58 (((~![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))) | ((~r1(Y!44, X!45)) | ![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))) <=> ((~![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))) | (~r1(Y!44, X!45)) | ![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))),
% 6.56/4.58 inference(rewrite,[status(thm)],[])).
% 6.56/4.58 tff(887,plain,
% 6.56/4.58 ((~![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))) | ((~r1(Y!44, X!45)) | ![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))),
% 6.56/4.58 inference(quant_inst,[status(thm)],[])).
% 6.56/4.58 tff(888,plain,
% 6.56/4.58 ((~![X: $i] : ((~r1(Y!44, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))))) | (~r1(Y!44, X!45)) | ![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X)))))))),
% 6.56/4.58 inference(modus_ponens,[status(thm)],[887, 886])).
% 6.56/4.58 tff(889,plain,
% 6.56/4.58 (![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X)))))))),
% 6.56/4.58 inference(unit_resolution,[status(thm)],[888, 224, 885])).
% 6.56/4.58 tff(890,plain,
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% 6.56/4.58 inference(rewrite,[status(thm)],[])).
% 6.56/4.58 tff(891,plain,
% 6.56/4.58 ((~![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X)))))))) | ((~r1(X!45, Y!46)) | ![X: $i] : ((~r1(Y!46, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X)))))))),
% 6.56/4.58 inference(quant_inst,[status(thm)],[])).
% 6.56/4.58 tff(892,plain,
% 6.56/4.58 ((~![Y: $i] : ((~r1(X!45, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X)))))))) | (~r1(X!45, Y!46)) | ![X: $i] : ((~r1(Y!46, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))),
% 6.56/4.58 inference(modus_ponens,[status(thm)],[891, 890])).
% 6.56/4.58 tff(893,plain,
% 6.56/4.58 (![X: $i] : ((~r1(Y!46, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))),
% 6.56/4.58 inference(unit_resolution,[status(thm)],[892, 233, 889])).
% 6.56/4.58 tff(894,plain,
% 6.56/4.58 (((~![X: $i] : ((~r1(Y!46, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))) | ((~r1(Y!46, X!47)) | (~((~((~p8(X!47)) | (~p7(X!47)))) | (~(p7(X!47) | p8(X!47))))))) <=> ((~![X: $i] : ((~r1(Y!46, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))) | (~r1(Y!46, X!47)) | (~((~((~p8(X!47)) | (~p7(X!47)))) | (~(p7(X!47) | p8(X!47))))))),
% 6.56/4.58 inference(rewrite,[status(thm)],[])).
% 6.56/4.58 tff(895,plain,
% 6.56/4.58 ((~![X: $i] : ((~r1(Y!46, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))) | ((~r1(Y!46, X!47)) | (~((~((~p8(X!47)) | (~p7(X!47)))) | (~(p7(X!47) | p8(X!47))))))),
% 6.56/4.58 inference(quant_inst,[status(thm)],[])).
% 6.56/4.58 tff(896,plain,
% 6.56/4.58 ((~![X: $i] : ((~r1(Y!46, X)) | (~((~((~p8(X)) | (~p7(X)))) | (~(p7(X) | p8(X))))))) | (~r1(Y!46, X!47)) | (~((~((~p8(X!47)) | (~p7(X!47)))) | (~(p7(X!47) | p8(X!47)))))),
% 6.56/4.58 inference(modus_ponens,[status(thm)],[895, 894])).
% 6.56/4.58 tff(897,plain,
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% 6.56/4.58 inference(unit_resolution,[status(thm)],[896, 241, 893, 867])).
% 6.56/4.58 tff(898,plain,(~((~((~p8(X!47)) | (~p7(X!47)))) | (~(p7(X!47) | p8(X!47))))), inference(lemma,lemma(discharge,[]))).
% 6.56/4.58 tff(899,plain,
% 6.56/4.58 (((~((~p8(X!47)) | (~p7(X!47)))) | (~(p7(X!47) | p8(X!47)))) | ((~p8(X!47)) | (~p7(X!47)))),
% 6.56/4.58 inference(tautology,[status(thm)],[])).
% 6.56/4.58 tff(900,plain,
% 6.56/4.58 ((~p8(X!47)) | (~p7(X!47))),
% 6.56/4.58 inference(unit_resolution,[status(thm)],[899, 898])).
% 6.56/4.58 tff(901,plain,
% 6.56/4.58 ((~((~p8(X!47)) | (~p7(X!47)))) | (~p8(X!47)) | (~p7(X!47))),
% 6.56/4.58 inference(tautology,[status(thm)],[])).
% 6.56/4.58 tff(902,plain,
% 6.56/4.58 ((~p8(X!47)) | (~p7(X!47))),
% 6.56/4.58 inference(unit_resolution,[status(thm)],[901, 900])).
% 6.56/4.58 tff(903,plain,
% 6.56/4.58 ($false),
% 6.56/4.58 inference(unit_resolution,[status(thm)],[902, 866, 492])).
% 6.56/4.58 tff(904,plain,(p15(X!47)), inference(lemma,lemma(discharge,[]))).
% 6.56/4.58 tff(905,plain,
% 6.56/4.58 (((~((~p14(X!47)) | (~p15(X!47)))) | (~(p14(X!47) | p15(X!47)))) | ((~p14(X!47)) | (~p15(X!47)))),
% 6.56/4.58 inference(tautology,[status(thm)],[])).
% 6.56/4.58 tff(906,plain,
% 6.56/4.58 ((~p14(X!47)) | (~p15(X!47))),
% 6.56/4.58 inference(unit_resolution,[status(thm)],[905, 552])).
% 6.56/4.58 tff(907,plain,
% 6.56/4.58 ((~((~p14(X!47)) | (~p15(X!47)))) | (~p14(X!47)) | (~p15(X!47))),
% 6.56/4.58 inference(tautology,[status(thm)],[])).
% 6.56/4.58 tff(908,plain,
% 6.56/4.58 ((~p14(X!47)) | (~p15(X!47))),
% 6.56/4.58 inference(unit_resolution,[status(thm)],[907, 906])).
% 6.56/4.58 tff(909,plain,
% 6.56/4.58 (~p14(X!47)),
% 6.56/4.58 inference(unit_resolution,[status(thm)],[908, 904])).
% 6.56/4.58 tff(910,plain,
% 6.56/4.58 (((~((~p14(X!47)) | (~p13(X!47)))) | (~(p13(X!47) | p14(X!47)))) | (p13(X!47) | p14(X!47))),
% 6.56/4.58 inference(tautology,[status(thm)],[])).
% 6.56/4.58 tff(911,plain,
% 6.56/4.58 (p13(X!47) | p14(X!47)),
% 6.56/4.58 inference(unit_resolution,[status(thm)],[910, 613])).
% 6.56/4.58 tff(912,plain,
% 6.56/4.58 ((~(p13(X!47) | p14(X!47))) | p13(X!47) | p14(X!47)),
% 6.56/4.58 inference(tautology,[status(thm)],[])).
% 6.56/4.58 tff(913,plain,
% 6.56/4.58 (p13(X!47) | p14(X!47)),
% 6.56/4.58 inference(unit_resolution,[status(thm)],[912, 911])).
% 6.56/4.58 tff(914,plain,
% 6.56/4.58 (p13(X!47)),
% 6.56/4.58 inference(unit_resolution,[status(thm)],[913, 909])).
% 6.56/4.58 tff(915,plain,
% 6.56/4.58 (((~((~p12(X!47)) | (~p13(X!47)))) | (~(p12(X!47) | p13(X!47)))) | ((~p12(X!47)) | (~p13(X!47)))),
% 6.56/4.58 inference(tautology,[status(thm)],[])).
% 6.56/4.58 tff(916,plain,
% 6.56/4.58 ((~p12(X!47)) | (~p13(X!47))),
% 6.56/4.58 inference(unit_resolution,[status(thm)],[915, 670])).
% 6.56/4.58 tff(917,plain,
% 6.56/4.58 ((~((~p12(X!47)) | (~p13(X!47)))) | (~p12(X!47)) | (~p13(X!47))),
% 6.56/4.58 inference(tautology,[status(thm)],[])).
% 6.56/4.58 tff(918,plain,
% 6.56/4.58 ((~p12(X!47)) | (~p13(X!47))),
% 6.56/4.58 inference(unit_resolution,[status(thm)],[917, 916])).
% 6.56/4.58 tff(919,plain,
% 6.56/4.58 (~p12(X!47)),
% 6.56/4.58 inference(unit_resolution,[status(thm)],[918, 914])).
% 6.56/4.58 tff(920,plain,
% 6.56/4.58 (((~(p11(X!47) | p12(X!47))) | (~((~p11(X!47)) | (~p12(X!47))))) | (p11(X!47) | p12(X!47))),
% 6.56/4.58 inference(tautology,[status(thm)],[])).
% 6.56/4.58 tff(921,plain,
% 6.56/4.58 (p11(X!47) | p12(X!47)),
% 6.56/4.58 inference(unit_resolution,[status(thm)],[920, 726])).
% 6.56/4.58 tff(922,plain,
% 6.56/4.58 ((~(p11(X!47) | p12(X!47))) | p11(X!47) | p12(X!47)),
% 6.56/4.58 inference(tautology,[status(thm)],[])).
% 6.56/4.58 tff(923,plain,
% 6.56/4.58 (p11(X!47) | p12(X!47)),
% 6.56/4.58 inference(unit_resolution,[status(thm)],[922, 921])).
% 6.56/4.58 tff(924,plain,
% 6.56/4.58 (p11(X!47)),
% 6.56/4.58 inference(unit_resolution,[status(thm)],[923, 919])).
% 6.56/4.58 tff(925,plain,
% 6.56/4.58 (((~((~p10(X!47)) | (~p11(X!47)))) | (~(p10(X!47) | p11(X!47)))) | ((~p10(X!47)) | (~p11(X!47)))),
% 6.56/4.58 inference(tautology,[status(thm)],[])).
% 6.56/4.58 tff(926,plain,
% 6.56/4.58 ((~p10(X!47)) | (~p11(X!47))),
% 6.56/4.58 inference(unit_resolution,[status(thm)],[925, 775])).
% 6.56/4.58 tff(927,plain,
% 6.56/4.58 ((~((~p10(X!47)) | (~p11(X!47)))) | (~p10(X!47)) | (~p11(X!47))),
% 6.56/4.58 inference(tautology,[status(thm)],[])).
% 6.56/4.58 tff(928,plain,
% 6.56/4.58 ((~p10(X!47)) | (~p11(X!47))),
% 6.56/4.58 inference(unit_resolution,[status(thm)],[927, 926])).
% 6.56/4.58 tff(929,plain,
% 6.56/4.58 (~p10(X!47)),
% 6.56/4.58 inference(unit_resolution,[status(thm)],[928, 924])).
% 6.56/4.58 tff(930,plain,
% 6.56/4.58 (((~((~p10(X!47)) | (~p9(X!47)))) | (~(p10(X!47) | p9(X!47)))) | (p10(X!47) | p9(X!47))),
% 6.56/4.58 inference(tautology,[status(thm)],[])).
% 6.56/4.58 tff(931,plain,
% 6.56/4.58 (p10(X!47) | p9(X!47)),
% 6.56/4.58 inference(unit_resolution,[status(thm)],[930, 820])).
% 6.56/4.58 tff(932,plain,
% 6.56/4.58 ((~(p10(X!47) | p9(X!47))) | p10(X!47) | p9(X!47)),
% 6.56/4.58 inference(tautology,[status(thm)],[])).
% 6.56/4.58 tff(933,plain,
% 6.56/4.58 (p10(X!47) | p9(X!47)),
% 6.56/4.58 inference(unit_resolution,[status(thm)],[932, 931])).
% 6.56/4.58 tff(934,plain,
% 6.56/4.58 (p9(X!47)),
% 6.56/4.58 inference(unit_resolution,[status(thm)],[933, 929])).
% 6.56/4.58 tff(935,plain,
% 6.56/4.58 (((~((~p8(X!47)) | (~p9(X!47)))) | (~(p8(X!47) | p9(X!47)))) | ((~p8(X!47)) | (~p9(X!47)))),
% 6.56/4.58 inference(tautology,[status(thm)],[])).
% 6.56/4.58 tff(936,plain,
% 6.56/4.58 ((~p8(X!47)) | (~p9(X!47))),
% 6.56/4.58 inference(unit_resolution,[status(thm)],[935, 861])).
% 6.56/4.58 tff(937,plain,
% 6.56/4.58 ((~((~p8(X!47)) | (~p9(X!47)))) | (~p8(X!47)) | (~p9(X!47))),
% 6.56/4.58 inference(tautology,[status(thm)],[])).
% 6.56/4.58 tff(938,plain,
% 6.56/4.58 ((~p8(X!47)) | (~p9(X!47))),
% 6.56/4.58 inference(unit_resolution,[status(thm)],[937, 936])).
% 6.56/4.58 tff(939,plain,
% 6.56/4.58 (~p8(X!47)),
% 6.56/4.58 inference(unit_resolution,[status(thm)],[938, 934])).
% 6.56/4.58 tff(940,plain,
% 6.56/4.58 (((~((~p8(X!47)) | (~p7(X!47)))) | (~(p7(X!47) | p8(X!47)))) | (p7(X!47) | p8(X!47))),
% 6.56/4.58 inference(tautology,[status(thm)],[])).
% 6.56/4.58 tff(941,plain,
% 6.56/4.58 (p7(X!47) | p8(X!47)),
% 6.56/4.58 inference(unit_resolution,[status(thm)],[940, 898])).
% 6.56/4.58 tff(942,plain,
% 6.56/4.58 ((~(p7(X!47) | p8(X!47))) | p7(X!47) | p8(X!47)),
% 6.56/4.58 inference(tautology,[status(thm)],[])).
% 6.56/4.58 tff(943,plain,
% 6.56/4.58 (p7(X!47) | p8(X!47)),
% 6.56/4.58 inference(unit_resolution,[status(thm)],[942, 941])).
% 6.56/4.58 tff(944,plain,
% 6.56/4.58 (p7(X!47)),
% 6.56/4.58 inference(unit_resolution,[status(thm)],[943, 939])).
% 6.56/4.58 tff(945,plain,
% 6.56/4.58 (((~((~p6(X!47)) | (~p7(X!47)))) | (~(p6(X!47) | p7(X!47)))) | ((~p6(X!47)) | (~p7(X!47)))),
% 6.56/4.58 inference(tautology,[status(thm)],[])).
% 6.56/4.58 tff(946,plain,
% 6.56/4.58 ((~p6(X!47)) | (~p7(X!47))),
% 6.56/4.58 inference(unit_resolution,[status(thm)],[945, 487])).
% 6.56/4.58 tff(947,plain,
% 6.56/4.58 ((~((~p6(X!47)) | (~p7(X!47)))) | (~p6(X!47)) | (~p7(X!47))),
% 6.56/4.58 inference(tautology,[status(thm)],[])).
% 6.56/4.58 tff(948,plain,
% 6.56/4.58 ((~p6(X!47)) | (~p7(X!47))),
% 6.56/4.58 inference(unit_resolution,[status(thm)],[947, 946])).
% 6.56/4.58 tff(949,plain,
% 6.56/4.58 (~p6(X!47)),
% 6.56/4.58 inference(unit_resolution,[status(thm)],[948, 944])).
% 6.56/4.58 tff(950,plain,
% 6.56/4.58 (((~(p5(X!47) | p6(X!47))) | (~((~p5(X!47)) | (~p6(X!47))))) | (p5(X!47) | p6(X!47))),
% 6.56/4.58 inference(tautology,[status(thm)],[])).
% 6.56/4.58 tff(951,plain,
% 6.56/4.58 (p5(X!47) | p6(X!47)),
% 6.56/4.58 inference(unit_resolution,[status(thm)],[950, 454])).
% 6.56/4.58 tff(952,plain,
% 6.56/4.58 ((~(p5(X!47) | p6(X!47))) | p5(X!47) | p6(X!47)),
% 6.56/4.58 inference(tautology,[status(thm)],[])).
% 6.56/4.58 tff(953,plain,
% 6.56/4.58 (p5(X!47) | p6(X!47)),
% 6.56/4.58 inference(unit_resolution,[status(thm)],[952, 951])).
% 6.56/4.58 tff(954,plain,
% 6.56/4.58 (p5(X!47)),
% 6.56/4.58 inference(unit_resolution,[status(thm)],[953, 949])).
% 6.56/4.58 tff(955,plain,
% 6.56/4.58 (((~((~p4(X!47)) | (~p5(X!47)))) | (~(p4(X!47) | p5(X!47)))) | ((~p4(X!47)) | (~p5(X!47)))),
% 6.56/4.58 inference(tautology,[status(thm)],[])).
% 6.56/4.58 tff(956,plain,
% 6.56/4.58 ((~p4(X!47)) | (~p5(X!47))),
% 6.56/4.58 inference(unit_resolution,[status(thm)],[955, 422])).
% 6.56/4.58 tff(957,plain,
% 6.56/4.58 ((~((~p4(X!47)) | (~p5(X!47)))) | (~p4(X!47)) | (~p5(X!47))),
% 6.56/4.58 inference(tautology,[status(thm)],[])).
% 6.56/4.58 tff(958,plain,
% 6.56/4.58 ((~p4(X!47)) | (~p5(X!47))),
% 6.56/4.58 inference(unit_resolution,[status(thm)],[957, 956])).
% 6.56/4.58 tff(959,plain,
% 6.56/4.58 (~p4(X!47)),
% 6.56/4.58 inference(unit_resolution,[status(thm)],[958, 954])).
% 6.56/4.58 tff(960,plain,
% 6.56/4.58 (((~((~p4(X!47)) | (~p3(X!47)))) | (~(p3(X!47) | p4(X!47)))) | (p3(X!47) | p4(X!47))),
% 6.56/4.58 inference(tautology,[status(thm)],[])).
% 6.56/4.58 tff(961,plain,
% 6.56/4.58 (p3(X!47) | p4(X!47)),
% 6.56/4.58 inference(unit_resolution,[status(thm)],[960, 397])).
% 6.56/4.58 tff(962,plain,
% 6.56/4.58 ((~(p3(X!47) | p4(X!47))) | p3(X!47) | p4(X!47)),
% 6.56/4.58 inference(tautology,[status(thm)],[])).
% 6.56/4.58 tff(963,plain,
% 6.56/4.58 (p3(X!47) | p4(X!47)),
% 6.56/4.58 inference(unit_resolution,[status(thm)],[962, 961])).
% 6.56/4.58 tff(964,plain,
% 6.56/4.58 (p3(X!47)),
% 6.56/4.58 inference(unit_resolution,[status(thm)],[963, 959])).
% 6.56/4.58 tff(965,plain,
% 6.56/4.58 (((~((~p2(X!47)) | (~p3(X!47)))) | (~(p2(X!47) | p3(X!47)))) | ((~p2(X!47)) | (~p3(X!47)))),
% 6.56/4.58 inference(tautology,[status(thm)],[])).
% 6.56/4.58 tff(966,plain,
% 6.56/4.58 ((~p2(X!47)) | (~p3(X!47))),
% 6.56/4.58 inference(unit_resolution,[status(thm)],[965, 376])).
% 6.56/4.58 tff(967,plain,
% 6.56/4.58 ((~((~p2(X!47)) | (~p3(X!47)))) | (~p2(X!47)) | (~p3(X!47))),
% 6.56/4.58 inference(tautology,[status(thm)],[])).
% 6.56/4.58 tff(968,plain,
% 6.56/4.58 ((~p2(X!47)) | (~p3(X!47))),
% 6.56/4.58 inference(unit_resolution,[status(thm)],[967, 966])).
% 6.56/4.58 tff(969,plain,
% 6.56/4.58 (~p2(X!47)),
% 6.56/4.58 inference(unit_resolution,[status(thm)],[968, 964])).
% 6.56/4.58 tff(970,plain,
% 6.56/4.58 (((~((~p2(X!47)) | (~p1(X!47)))) | (~(p1(X!47) | p2(X!47)))) | (p1(X!47) | p2(X!47))),
% 6.56/4.58 inference(tautology,[status(thm)],[])).
% 6.56/4.58 tff(971,plain,
% 6.56/4.58 (p1(X!47) | p2(X!47)),
% 6.56/4.58 inference(unit_resolution,[status(thm)],[970, 359])).
% 6.56/4.58 tff(972,plain,
% 6.56/4.58 ((~(p1(X!47) | p2(X!47))) | p1(X!47) | p2(X!47)),
% 6.56/4.58 inference(tautology,[status(thm)],[])).
% 6.56/4.58 tff(973,plain,
% 6.56/4.58 (p1(X!47) | p2(X!47)),
% 6.56/4.58 inference(unit_resolution,[status(thm)],[972, 971])).
% 6.56/4.58 tff(974,plain,
% 6.56/4.58 (p1(X!47)),
% 6.56/4.58 inference(unit_resolution,[status(thm)],[973, 969])).
% 6.56/4.58 tff(975,plain,
% 6.56/4.58 ((~((~p1(X!47)) | (~p15(X!47)))) | (~p1(X!47)) | (~p15(X!47))),
% 6.56/4.58 inference(tautology,[status(thm)],[])).
% 6.56/4.58 tff(976,plain,
% 6.56/4.58 (~((~p1(X!47)) | (~p15(X!47)))),
% 6.56/4.58 inference(unit_resolution,[status(thm)],[975, 904, 974])).
% 6.56/4.58 tff(977,plain,
% 6.56/4.58 (((~((~p1(X!47)) | (~p15(X!47)))) | (~(p15(X!47) | p1(X!47)))) | ((~p1(X!47)) | (~p15(X!47)))),
% 6.56/4.58 inference(tautology,[status(thm)],[])).
% 6.56/4.58 tff(978,plain,
% 6.56/4.58 ((~((~p1(X!47)) | (~p15(X!47)))) | (~(p15(X!47) | p1(X!47)))),
% 6.56/4.58 inference(unit_resolution,[status(thm)],[977, 976])).
% 6.56/4.58 tff(979,plain,
% 6.56/4.58 ($false),
% 6.56/4.58 inference(unit_resolution,[status(thm)],[978, 246])).
% 6.56/4.58 % SZS output end Proof
%------------------------------------------------------------------------------