TSTP Solution File: LCL658+1.020 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : LCL658+1.020 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n026.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 04:57:31 EDT 2022
% Result : Theorem 30.73s 21.53s
% Output : Proof 30.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : LCL658+1.020 : TPTP v8.1.0. Released v4.0.0.
% 0.09/0.11 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.09/0.31 % Computer : n026.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Thu Sep 1 23:36:37 EDT 2022
% 0.09/0.31 % CPUTime :
% 0.09/0.31 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.09/0.31 Usage: tptp [options] [-file:]file
% 0.09/0.31 -h, -? prints this message.
% 0.09/0.31 -smt2 print SMT-LIB2 benchmark.
% 0.09/0.31 -m, -model generate model.
% 0.09/0.31 -p, -proof generate proof.
% 0.09/0.31 -c, -core generate unsat core of named formulas.
% 0.09/0.31 -st, -statistics display statistics.
% 0.09/0.31 -t:timeout set timeout (in second).
% 0.09/0.31 -smt2status display status in smt2 format instead of SZS.
% 0.09/0.31 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.09/0.31 -<param>:<value> configuration parameter and value.
% 0.09/0.31 -o:<output-file> file to place output in.
% 30.73/21.53 % SZS status Theorem
% 30.73/21.53 % SZS output start Proof
% 30.73/21.53 tff(r1_type, type, (
% 30.73/21.53 r1: ( $i * $i ) > $o)).
% 30.73/21.53 tff(p1_type, type, (
% 30.73/21.53 p1: $i > $o)).
% 30.73/21.53 tff(tptp_fun_X_22_type, type, (
% 30.73/21.53 tptp_fun_X_22: $i)).
% 30.73/21.53 tff(tptp_fun_Y_2_type, type, (
% 30.73/21.53 tptp_fun_Y_2: $i > $i)).
% 30.73/21.53 tff(tptp_fun_Y_20_type, type, (
% 30.73/21.53 tptp_fun_Y_20: $i)).
% 30.73/21.53 tff(tptp_fun_X_19_type, type, (
% 30.73/21.53 tptp_fun_X_19: $i)).
% 30.73/21.53 tff(tptp_fun_Y_18_type, type, (
% 30.73/21.53 tptp_fun_Y_18: $i)).
% 30.73/21.53 tff(tptp_fun_X_17_type, type, (
% 30.73/21.53 tptp_fun_X_17: $i)).
% 30.73/21.53 tff(tptp_fun_Y_16_type, type, (
% 30.73/21.53 tptp_fun_Y_16: $i)).
% 30.73/21.53 tff(tptp_fun_X_15_type, type, (
% 30.73/21.53 tptp_fun_X_15: $i)).
% 30.73/21.53 tff(tptp_fun_Y_14_type, type, (
% 30.73/21.53 tptp_fun_Y_14: $i)).
% 30.73/21.53 tff(tptp_fun_X_13_type, type, (
% 30.73/21.53 tptp_fun_X_13: $i)).
% 30.73/21.53 tff(tptp_fun_Y_12_type, type, (
% 30.73/21.53 tptp_fun_Y_12: $i)).
% 30.73/21.53 tff(tptp_fun_X_11_type, type, (
% 30.73/21.53 tptp_fun_X_11: $i)).
% 30.73/21.53 tff(tptp_fun_Y_10_type, type, (
% 30.73/21.53 tptp_fun_Y_10: $i)).
% 30.73/21.53 tff(tptp_fun_X_0_type, type, (
% 30.73/21.53 tptp_fun_X_0: $i)).
% 30.73/21.53 tff(tptp_fun_X_1_type, type, (
% 30.73/21.53 tptp_fun_X_1: $i > $i)).
% 30.73/21.53 tff(tptp_fun_Y_3_type, type, (
% 30.73/21.53 tptp_fun_Y_3: $i > $i)).
% 30.73/21.53 tff(tptp_fun_X_4_type, type, (
% 30.73/21.53 tptp_fun_X_4: $i > $i)).
% 30.73/21.53 tff(tptp_fun_X_21_type, type, (
% 30.73/21.53 tptp_fun_X_21: $i)).
% 30.73/21.53 tff(tptp_fun_X_8_type, type, (
% 30.73/21.53 tptp_fun_X_8: $i > $i)).
% 30.73/21.53 tff(tptp_fun_Y_9_type, type, (
% 30.73/21.53 tptp_fun_Y_9: $i > $i)).
% 30.73/21.53 tff(tptp_fun_X_7_type, type, (
% 30.73/21.53 tptp_fun_X_7: $i > $i)).
% 30.73/21.53 tff(tptp_fun_X_5_type, type, (
% 30.73/21.53 tptp_fun_X_5: $i > $i)).
% 30.73/21.53 tff(tptp_fun_Y_6_type, type, (
% 30.73/21.53 tptp_fun_Y_6: $i > $i)).
% 30.73/21.53 tff(1,assumption,(~![Y: $i] : ((~r1(X!22, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))), introduced(assumption)).
% 30.73/21.53 tff(2,plain,
% 30.73/21.53 ((![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (r1(Y, tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))) & p1(tptp_fun_X_5(Y)) & ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~r1(tptp_fun_X_5(Y), Y)) | ((~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) & p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | ((~p1(tptp_fun_X_7(Y))) & r1(Y, tptp_fun_X_7(Y)) & ![Y: $i] : (![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) & (((~p1(tptp_fun_X_7(Y))) & r1(Y, tptp_fun_X_7(Y)) & ![Y: $i] : (![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (r1(Y, tptp_fun_X_8(Y)) & (~(p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))) & p1(tptp_fun_X_8(Y)))))))))))))))))) & (r1(X!0, 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) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X)))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (r1(Y, tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))) & p1(tptp_fun_X_5(Y)) & ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~r1(tptp_fun_X_5(Y), Y)) | ((~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) & p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | ((~p1(tptp_fun_X_7(Y))) & r1(Y, tptp_fun_X_7(Y)) & ![Y: $i] : (![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) & (((~p1(tptp_fun_X_7(Y))) & r1(Y, tptp_fun_X_7(Y)) & ![Y: $i] : (![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (r1(Y, tptp_fun_X_8(Y)) & (~(p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))) & p1(tptp_fun_X_8(Y)))))))))))))))))) & r1(X!0, 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) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X)))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))),
% 30.73/21.54 inference(rewrite,[status(thm)],[])).
% 30.73/21.54 tff(3,plain,
% 30.73/21.54 (((r1(X!0, 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) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) <=> (r1(X!0, 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) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X)))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))),
% 30.73/21.54 inference(rewrite,[status(thm)],[])).
% 30.73/21.54 tff(4,plain,
% 30.73/21.54 ((r1(X!0, 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) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X)))))) <=> (r1(X!0, 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) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X)))))),
% 30.73/21.54 inference(rewrite,[status(thm)],[])).
% 30.73/21.54 tff(5,plain,
% 30.73/21.54 ((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) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X)))))) <=> (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) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X)))))),
% 30.73/21.54 inference(rewrite,[status(thm)],[])).
% 30.73/21.54 tff(6,plain,
% 30.73/21.54 ((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) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X)))))) <=> (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) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X)))))),
% 30.73/21.54 inference(rewrite,[status(thm)],[])).
% 30.73/21.54 tff(7,plain,
% 30.73/21.54 ((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) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X)))))) <=> (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) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X)))))),
% 30.73/21.54 inference(rewrite,[status(thm)],[])).
% 30.73/21.54 tff(8,plain,
% 30.73/21.54 ((r1(X!13, Y!14) & (r1(Y!14, X!15) & r1(X!15, Y!16) & r1(Y!16, X!17) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X)))))) <=> (r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & r1(Y!16, X!17) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X)))))),
% 30.73/21.54 inference(rewrite,[status(thm)],[])).
% 30.73/21.54 tff(9,plain,
% 30.73/21.54 ((r1(Y!14, X!15) & (r1(X!15, Y!16) & r1(Y!16, X!17) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X)))))) <=> (r1(Y!14, X!15) & r1(X!15, Y!16) & r1(Y!16, X!17) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X)))))),
% 30.73/21.54 inference(rewrite,[status(thm)],[])).
% 30.73/21.54 tff(10,plain,
% 30.73/21.54 ((r1(X!15, Y!16) & (r1(Y!16, X!17) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X)))))) <=> (r1(X!15, Y!16) & r1(Y!16, X!17) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X)))))),
% 30.73/21.54 inference(rewrite,[status(thm)],[])).
% 30.73/21.54 tff(11,plain,
% 30.73/21.54 ((r1(Y!16, X!17) & (r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X)))))) <=> (r1(Y!16, X!17) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X)))))),
% 30.73/21.54 inference(rewrite,[status(thm)],[])).
% 30.73/21.54 tff(12,plain,
% 30.73/21.54 ((r1(X!17, Y!18) & (r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X)))))) <=> (r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X)))))),
% 30.73/21.54 inference(rewrite,[status(thm)],[])).
% 30.73/21.54 tff(13,plain,
% 30.73/21.54 ((r1(Y!18, X!19) & (r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X)))))) <=> (r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X)))))),
% 30.73/21.54 inference(rewrite,[status(thm)],[])).
% 30.73/21.54 tff(14,plain,
% 30.73/21.54 ((r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & (r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X))))) <=> (r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X)))))),
% 30.73/21.54 inference(rewrite,[status(thm)],[])).
% 30.73/21.54 tff(15,plain,
% 30.73/21.54 (^[X: $i] : rewrite((p1(X) | (~r1(Y!20, X)) | ((~(~r1(X, tptp_fun_Y_3(X)))) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & (~(~p1(tptp_fun_Y_3(X)))))) <=> (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X)))))),
% 30.73/21.54 inference(bind,[status(th)],[])).
% 30.73/21.54 tff(16,plain,
% 30.73/21.54 (![X: $i] : (p1(X) | (~r1(Y!20, X)) | ((~(~r1(X, tptp_fun_Y_3(X)))) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & (~(~p1(tptp_fun_Y_3(X)))))) <=> ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X))))),
% 30.73/21.54 inference(quant_intro,[status(thm)],[15])).
% 30.73/21.54 tff(17,plain,
% 30.73/21.54 (((~(~r1(Y!20, X!22))) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) <=> (r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))))),
% 30.73/21.54 inference(rewrite,[status(thm)],[])).
% 30.73/21.54 tff(18,plain,
% 30.73/21.54 ((~(~r1(X!19, Y!20))) <=> r1(X!19, Y!20)),
% 30.73/21.54 inference(rewrite,[status(thm)],[])).
% 30.73/21.54 tff(19,plain,
% 30.73/21.54 (((~(~r1(X!19, Y!20))) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & ((~(~r1(Y!20, X!22))) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | ((~(~r1(X, tptp_fun_Y_3(X)))) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & (~(~p1(tptp_fun_Y_3(X))))))) <=> (r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & (r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X)))))),
% 30.73/21.54 inference(monotonicity,[status(thm)],[18, 17, 16])).
% 30.73/21.54 tff(20,plain,
% 30.73/21.54 (((~(~r1(X!19, Y!20))) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & ((~(~r1(Y!20, X!22))) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | ((~(~r1(X, tptp_fun_Y_3(X)))) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & (~(~p1(tptp_fun_Y_3(X))))))) <=> (r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X)))))),
% 30.73/21.54 inference(transitivity,[status(thm)],[19, 14])).
% 30.73/21.54 tff(21,plain,
% 30.73/21.54 ((~(~r1(Y!18, X!19))) <=> r1(Y!18, X!19)),
% 30.73/21.54 inference(rewrite,[status(thm)],[])).
% 30.73/21.54 tff(22,plain,
% 30.73/21.54 (((~(~r1(Y!18, X!19))) & ((~(~r1(X!19, Y!20))) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & ((~(~r1(Y!20, X!22))) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | ((~(~r1(X, tptp_fun_Y_3(X)))) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & (~(~p1(tptp_fun_Y_3(X)))))))) <=> (r1(Y!18, X!19) & (r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X))))))),
% 30.73/21.55 inference(monotonicity,[status(thm)],[21, 20])).
% 30.73/21.55 tff(23,plain,
% 30.73/21.55 (((~(~r1(Y!18, X!19))) & ((~(~r1(X!19, Y!20))) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & ((~(~r1(Y!20, X!22))) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | ((~(~r1(X, tptp_fun_Y_3(X)))) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & (~(~p1(tptp_fun_Y_3(X)))))))) <=> (r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X)))))),
% 30.73/21.55 inference(transitivity,[status(thm)],[22, 13])).
% 30.73/21.55 tff(24,plain,
% 30.73/21.55 ((~(~r1(X!17, Y!18))) <=> r1(X!17, Y!18)),
% 30.73/21.55 inference(rewrite,[status(thm)],[])).
% 30.73/21.55 tff(25,plain,
% 30.73/21.55 (((~(~r1(X!17, Y!18))) & ((~(~r1(Y!18, X!19))) & ((~(~r1(X!19, Y!20))) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & ((~(~r1(Y!20, X!22))) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | ((~(~r1(X, tptp_fun_Y_3(X)))) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & (~(~p1(tptp_fun_Y_3(X))))))))) <=> (r1(X!17, Y!18) & (r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X))))))),
% 30.73/21.55 inference(monotonicity,[status(thm)],[24, 23])).
% 30.73/21.55 tff(26,plain,
% 30.73/21.55 (((~(~r1(X!17, Y!18))) & ((~(~r1(Y!18, X!19))) & ((~(~r1(X!19, Y!20))) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & ((~(~r1(Y!20, X!22))) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | ((~(~r1(X, tptp_fun_Y_3(X)))) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & (~(~p1(tptp_fun_Y_3(X))))))))) <=> (r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X)))))),
% 30.73/21.55 inference(transitivity,[status(thm)],[25, 12])).
% 30.73/21.55 tff(27,plain,
% 30.73/21.55 ((~(~r1(Y!16, X!17))) <=> r1(Y!16, X!17)),
% 30.73/21.55 inference(rewrite,[status(thm)],[])).
% 30.73/21.55 tff(28,plain,
% 30.73/21.55 (((~(~r1(Y!16, X!17))) & ((~(~r1(X!17, Y!18))) & ((~(~r1(Y!18, X!19))) & ((~(~r1(X!19, Y!20))) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & ((~(~r1(Y!20, X!22))) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | ((~(~r1(X, tptp_fun_Y_3(X)))) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & (~(~p1(tptp_fun_Y_3(X)))))))))) <=> (r1(Y!16, X!17) & (r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X))))))),
% 30.73/21.55 inference(monotonicity,[status(thm)],[27, 26])).
% 30.73/21.55 tff(29,plain,
% 30.73/21.55 (((~(~r1(Y!16, X!17))) & ((~(~r1(X!17, Y!18))) & ((~(~r1(Y!18, X!19))) & ((~(~r1(X!19, Y!20))) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & ((~(~r1(Y!20, X!22))) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | ((~(~r1(X, tptp_fun_Y_3(X)))) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & (~(~p1(tptp_fun_Y_3(X)))))))))) <=> (r1(Y!16, X!17) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X)))))),
% 30.73/21.55 inference(transitivity,[status(thm)],[28, 11])).
% 30.73/21.55 tff(30,plain,
% 30.73/21.55 ((~(~r1(X!15, Y!16))) <=> r1(X!15, Y!16)),
% 30.73/21.55 inference(rewrite,[status(thm)],[])).
% 30.73/21.55 tff(31,plain,
% 30.73/21.55 (((~(~r1(X!15, Y!16))) & ((~(~r1(Y!16, X!17))) & ((~(~r1(X!17, Y!18))) & ((~(~r1(Y!18, X!19))) & ((~(~r1(X!19, Y!20))) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & ((~(~r1(Y!20, X!22))) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | ((~(~r1(X, tptp_fun_Y_3(X)))) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & (~(~p1(tptp_fun_Y_3(X))))))))))) <=> (r1(X!15, Y!16) & (r1(Y!16, X!17) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X))))))),
% 30.73/21.55 inference(monotonicity,[status(thm)],[30, 29])).
% 30.73/21.55 tff(32,plain,
% 30.73/21.55 (((~(~r1(X!15, Y!16))) & ((~(~r1(Y!16, X!17))) & ((~(~r1(X!17, Y!18))) & ((~(~r1(Y!18, X!19))) & ((~(~r1(X!19, Y!20))) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & ((~(~r1(Y!20, X!22))) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | ((~(~r1(X, tptp_fun_Y_3(X)))) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & (~(~p1(tptp_fun_Y_3(X))))))))))) <=> (r1(X!15, Y!16) & r1(Y!16, X!17) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X)))))),
% 30.73/21.55 inference(transitivity,[status(thm)],[31, 10])).
% 30.73/21.55 tff(33,plain,
% 30.73/21.55 ((~(~r1(Y!14, X!15))) <=> r1(Y!14, X!15)),
% 30.73/21.55 inference(rewrite,[status(thm)],[])).
% 30.73/21.55 tff(34,plain,
% 30.73/21.55 (((~(~r1(Y!14, X!15))) & ((~(~r1(X!15, Y!16))) & ((~(~r1(Y!16, X!17))) & ((~(~r1(X!17, Y!18))) & ((~(~r1(Y!18, X!19))) & ((~(~r1(X!19, Y!20))) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & ((~(~r1(Y!20, X!22))) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | ((~(~r1(X, tptp_fun_Y_3(X)))) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & (~(~p1(tptp_fun_Y_3(X)))))))))))) <=> (r1(Y!14, X!15) & (r1(X!15, Y!16) & r1(Y!16, X!17) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X))))))),
% 30.73/21.55 inference(monotonicity,[status(thm)],[33, 32])).
% 30.73/21.55 tff(35,plain,
% 30.73/21.55 (((~(~r1(Y!14, X!15))) & ((~(~r1(X!15, Y!16))) & ((~(~r1(Y!16, X!17))) & ((~(~r1(X!17, Y!18))) & ((~(~r1(Y!18, X!19))) & ((~(~r1(X!19, Y!20))) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & ((~(~r1(Y!20, X!22))) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | ((~(~r1(X, tptp_fun_Y_3(X)))) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & (~(~p1(tptp_fun_Y_3(X)))))))))))) <=> (r1(Y!14, X!15) & r1(X!15, Y!16) & r1(Y!16, X!17) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X)))))),
% 30.73/21.55 inference(transitivity,[status(thm)],[34, 9])).
% 30.73/21.55 tff(36,plain,
% 30.73/21.55 ((~(~r1(X!13, Y!14))) <=> r1(X!13, Y!14)),
% 30.73/21.55 inference(rewrite,[status(thm)],[])).
% 30.73/21.55 tff(37,plain,
% 30.73/21.55 (((~(~r1(X!13, Y!14))) & ((~(~r1(Y!14, X!15))) & ((~(~r1(X!15, Y!16))) & ((~(~r1(Y!16, X!17))) & ((~(~r1(X!17, Y!18))) & ((~(~r1(Y!18, X!19))) & ((~(~r1(X!19, Y!20))) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & ((~(~r1(Y!20, X!22))) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | ((~(~r1(X, tptp_fun_Y_3(X)))) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & (~(~p1(tptp_fun_Y_3(X))))))))))))) <=> (r1(X!13, Y!14) & (r1(Y!14, X!15) & r1(X!15, Y!16) & r1(Y!16, X!17) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X))))))),
% 30.73/21.55 inference(monotonicity,[status(thm)],[36, 35])).
% 30.73/21.55 tff(38,plain,
% 30.73/21.55 (((~(~r1(X!13, Y!14))) & ((~(~r1(Y!14, X!15))) & ((~(~r1(X!15, Y!16))) & ((~(~r1(Y!16, X!17))) & ((~(~r1(X!17, Y!18))) & ((~(~r1(Y!18, X!19))) & ((~(~r1(X!19, Y!20))) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & ((~(~r1(Y!20, X!22))) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | ((~(~r1(X, tptp_fun_Y_3(X)))) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & (~(~p1(tptp_fun_Y_3(X))))))))))))) <=> (r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & r1(Y!16, X!17) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X)))))),
% 30.73/21.55 inference(transitivity,[status(thm)],[37, 8])).
% 30.73/21.55 tff(39,plain,
% 30.73/21.55 ((~(~r1(Y!12, X!13))) <=> r1(Y!12, X!13)),
% 30.73/21.55 inference(rewrite,[status(thm)],[])).
% 30.73/21.55 tff(40,plain,
% 30.73/21.55 (((~(~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))) & ((~(~r1(X!17, Y!18))) & ((~(~r1(Y!18, X!19))) & ((~(~r1(X!19, Y!20))) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & ((~(~r1(Y!20, X!22))) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | ((~(~r1(X, tptp_fun_Y_3(X)))) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & (~(~p1(tptp_fun_Y_3(X)))))))))))))) <=> (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) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X))))))),
% 30.73/21.55 inference(monotonicity,[status(thm)],[39, 38])).
% 30.73/21.55 tff(41,plain,
% 30.73/21.55 (((~(~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))) & ((~(~r1(X!17, Y!18))) & ((~(~r1(Y!18, X!19))) & ((~(~r1(X!19, Y!20))) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & ((~(~r1(Y!20, X!22))) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | ((~(~r1(X, tptp_fun_Y_3(X)))) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & (~(~p1(tptp_fun_Y_3(X)))))))))))))) <=> (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) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X)))))),
% 30.73/21.55 inference(transitivity,[status(thm)],[40, 7])).
% 30.73/21.55 tff(42,plain,
% 30.73/21.55 ((~(~r1(X!11, Y!12))) <=> r1(X!11, Y!12)),
% 30.73/21.55 inference(rewrite,[status(thm)],[])).
% 30.73/21.55 tff(43,plain,
% 30.73/21.55 (((~(~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))) & ((~(~r1(X!17, Y!18))) & ((~(~r1(Y!18, X!19))) & ((~(~r1(X!19, Y!20))) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & ((~(~r1(Y!20, X!22))) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | ((~(~r1(X, tptp_fun_Y_3(X)))) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & (~(~p1(tptp_fun_Y_3(X))))))))))))))) <=> (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) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X))))))),
% 30.73/21.55 inference(monotonicity,[status(thm)],[42, 41])).
% 30.73/21.55 tff(44,plain,
% 30.73/21.55 (((~(~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))) & ((~(~r1(X!17, Y!18))) & ((~(~r1(Y!18, X!19))) & ((~(~r1(X!19, Y!20))) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & ((~(~r1(Y!20, X!22))) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | ((~(~r1(X, tptp_fun_Y_3(X)))) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & (~(~p1(tptp_fun_Y_3(X))))))))))))))) <=> (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) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X)))))),
% 30.73/21.55 inference(transitivity,[status(thm)],[43, 6])).
% 30.73/21.55 tff(45,plain,
% 30.73/21.55 ((~(~r1(Y!10, X!11))) <=> r1(Y!10, X!11)),
% 30.73/21.55 inference(rewrite,[status(thm)],[])).
% 30.73/21.55 tff(46,plain,
% 30.73/21.55 (((~(~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))) & ((~(~r1(X!17, Y!18))) & ((~(~r1(Y!18, X!19))) & ((~(~r1(X!19, Y!20))) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & ((~(~r1(Y!20, X!22))) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | ((~(~r1(X, tptp_fun_Y_3(X)))) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & (~(~p1(tptp_fun_Y_3(X)))))))))))))))) <=> (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) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X))))))),
% 30.73/21.55 inference(monotonicity,[status(thm)],[45, 44])).
% 30.73/21.55 tff(47,plain,
% 30.73/21.55 (((~(~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))) & ((~(~r1(X!17, Y!18))) & ((~(~r1(Y!18, X!19))) & ((~(~r1(X!19, Y!20))) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & ((~(~r1(Y!20, X!22))) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | ((~(~r1(X, tptp_fun_Y_3(X)))) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & (~(~p1(tptp_fun_Y_3(X)))))))))))))))) <=> (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) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X)))))),
% 30.73/21.55 inference(transitivity,[status(thm)],[46, 5])).
% 30.73/21.55 tff(48,plain,
% 30.73/21.55 ((~(~r1(X!0, Y!10))) <=> r1(X!0, Y!10)),
% 30.73/21.55 inference(rewrite,[status(thm)],[])).
% 30.73/21.55 tff(49,plain,
% 30.73/21.55 (((~(~r1(X!0, 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))) & ((~(~r1(X!17, Y!18))) & ((~(~r1(Y!18, X!19))) & ((~(~r1(X!19, Y!20))) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & ((~(~r1(Y!20, X!22))) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | ((~(~r1(X, tptp_fun_Y_3(X)))) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & (~(~p1(tptp_fun_Y_3(X))))))))))))))))) <=> (r1(X!0, 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) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X))))))),
% 30.73/21.55 inference(monotonicity,[status(thm)],[48, 47])).
% 30.73/21.55 tff(50,plain,
% 30.73/21.55 (((~(~r1(X!0, 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))) & ((~(~r1(X!17, Y!18))) & ((~(~r1(Y!18, X!19))) & ((~(~r1(X!19, Y!20))) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & ((~(~r1(Y!20, X!22))) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | ((~(~r1(X, tptp_fun_Y_3(X)))) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & (~(~p1(tptp_fun_Y_3(X))))))))))))))))) <=> (r1(X!0, 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) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X)))))),
% 30.73/21.55 inference(transitivity,[status(thm)],[49, 4])).
% 30.73/21.55 tff(51,plain,
% 30.73/21.55 ((((~(~r1(X!0, 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))) & ((~(~r1(X!17, Y!18))) & ((~(~r1(Y!18, X!19))) & ((~(~r1(X!19, Y!20))) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & ((~(~r1(Y!20, X!22))) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | ((~(~r1(X, tptp_fun_Y_3(X)))) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & (~(~p1(tptp_fun_Y_3(X))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) <=> ((r1(X!0, 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) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))),
% 30.73/21.56 inference(monotonicity,[status(thm)],[50])).
% 30.73/21.56 tff(52,plain,
% 30.73/21.56 ((((~(~r1(X!0, 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))) & ((~(~r1(X!17, Y!18))) & ((~(~r1(Y!18, X!19))) & ((~(~r1(X!19, Y!20))) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & ((~(~r1(Y!20, X!22))) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | ((~(~r1(X, tptp_fun_Y_3(X)))) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & (~(~p1(tptp_fun_Y_3(X))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) <=> (r1(X!0, 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) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X)))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))),
% 30.73/21.56 inference(transitivity,[status(thm)],[51, 3])).
% 30.73/21.56 tff(53,plain,
% 30.73/21.56 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | ((~(~r1(X, tptp_fun_Y_3(X)))) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & (~(~p1(tptp_fun_Y_3(X)))))) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))) & (~(~p1(tptp_fun_X_5(Y)))) & ![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | ((~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) & (~(~p1(Y))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | ((~p1(tptp_fun_X_7(Y))) & (~(~r1(Y, tptp_fun_X_7(Y)))) & ![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) & (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | ((~(~r1(Y, tptp_fun_X_8(Y)))) & (~(p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))) & (~(~p1(tptp_fun_X_8(Y))))))) | ((~p1(tptp_fun_X_7(Y))) & (~(~r1(Y, tptp_fun_X_7(Y)))) & ![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y))))))))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (r1(Y, tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))) & p1(tptp_fun_X_5(Y)) & ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~r1(tptp_fun_X_5(Y), Y)) | ((~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) & p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | ((~p1(tptp_fun_X_7(Y))) & r1(Y, tptp_fun_X_7(Y)) & ![Y: $i] : (![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) & (((~p1(tptp_fun_X_7(Y))) & r1(Y, tptp_fun_X_7(Y)) & ![Y: $i] : (![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (r1(Y, tptp_fun_X_8(Y)) & (~(p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))) & p1(tptp_fun_X_8(Y)))))))))))))))))))),
% 30.73/21.56 inference(bind,[status(th)],[])).
% 30.73/21.56 tff(54,plain,
% 30.73/21.56 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | ((~(~r1(X, tptp_fun_Y_3(X)))) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & (~(~p1(tptp_fun_Y_3(X)))))) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))) & (~(~p1(tptp_fun_X_5(Y)))) & ![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | ((~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) & (~(~p1(Y))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | ((~p1(tptp_fun_X_7(Y))) & (~(~r1(Y, tptp_fun_X_7(Y)))) & ![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) & (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | ((~(~r1(Y, tptp_fun_X_8(Y)))) & (~(p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))) & (~(~p1(tptp_fun_X_8(Y))))))) | ((~p1(tptp_fun_X_7(Y))) & (~(~r1(Y, tptp_fun_X_7(Y)))) & ![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y))))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (r1(Y, tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))) & p1(tptp_fun_X_5(Y)) & ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~r1(tptp_fun_X_5(Y), Y)) | ((~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) & p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | ((~p1(tptp_fun_X_7(Y))) & r1(Y, tptp_fun_X_7(Y)) & ![Y: $i] : (![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) & (((~p1(tptp_fun_X_7(Y))) & r1(Y, tptp_fun_X_7(Y)) & ![Y: $i] : (![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (r1(Y, tptp_fun_X_8(Y)) & (~(p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))) & p1(tptp_fun_X_8(Y))))))))))))))))))),
% 30.73/21.56 inference(quant_intro,[status(thm)],[53])).
% 30.73/21.56 tff(55,plain,
% 30.73/21.56 ((![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | ((~(~r1(X, tptp_fun_Y_3(X)))) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & (~(~p1(tptp_fun_Y_3(X)))))) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))) & (~(~p1(tptp_fun_X_5(Y)))) & ![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | ((~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) & (~(~p1(Y))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | ((~p1(tptp_fun_X_7(Y))) & (~(~r1(Y, tptp_fun_X_7(Y)))) & ![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) & (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | ((~(~r1(Y, tptp_fun_X_8(Y)))) & (~(p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))) & (~(~p1(tptp_fun_X_8(Y))))))) | ((~p1(tptp_fun_X_7(Y))) & (~(~r1(Y, tptp_fun_X_7(Y)))) & ![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y))))))))))))))))) & (((~(~r1(X!0, 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))) & ((~(~r1(X!17, Y!18))) & ((~(~r1(Y!18, X!19))) & ((~(~r1(X!19, Y!20))) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & ((~(~r1(Y!20, X!22))) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | ((~(~r1(X, tptp_fun_Y_3(X)))) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & (~(~p1(tptp_fun_Y_3(X))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (r1(Y, tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))) & p1(tptp_fun_X_5(Y)) & ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~r1(tptp_fun_X_5(Y), Y)) | ((~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) & p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | ((~p1(tptp_fun_X_7(Y))) & r1(Y, tptp_fun_X_7(Y)) & ![Y: $i] : (![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) & (((~p1(tptp_fun_X_7(Y))) & r1(Y, tptp_fun_X_7(Y)) & ![Y: $i] : (![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (r1(Y, tptp_fun_X_8(Y)) & (~(p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))) & p1(tptp_fun_X_8(Y)))))))))))))))))) & (r1(X!0, 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) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X)))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))),
% 30.73/21.57 inference(monotonicity,[status(thm)],[54, 52])).
% 30.73/21.57 tff(56,plain,
% 30.73/21.57 ((![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | ((~(~r1(X, tptp_fun_Y_3(X)))) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & (~(~p1(tptp_fun_Y_3(X)))))) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))) & (~(~p1(tptp_fun_X_5(Y)))) & ![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | ((~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) & (~(~p1(Y))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | ((~p1(tptp_fun_X_7(Y))) & (~(~r1(Y, tptp_fun_X_7(Y)))) & ![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) & (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | ((~(~r1(Y, tptp_fun_X_8(Y)))) & (~(p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))) & (~(~p1(tptp_fun_X_8(Y))))))) | ((~p1(tptp_fun_X_7(Y))) & (~(~r1(Y, tptp_fun_X_7(Y)))) & ![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y))))))))))))))))) & (((~(~r1(X!0, 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))) & ((~(~r1(X!17, Y!18))) & ((~(~r1(Y!18, X!19))) & ((~(~r1(X!19, Y!20))) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & ((~(~r1(Y!20, X!22))) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | ((~(~r1(X, tptp_fun_Y_3(X)))) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & (~(~p1(tptp_fun_Y_3(X))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (r1(Y, tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))) & p1(tptp_fun_X_5(Y)) & ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~r1(tptp_fun_X_5(Y), Y)) | ((~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) & p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | ((~p1(tptp_fun_X_7(Y))) & r1(Y, tptp_fun_X_7(Y)) & ![Y: $i] : (![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) & (((~p1(tptp_fun_X_7(Y))) & r1(Y, tptp_fun_X_7(Y)) & ![Y: $i] : (![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (r1(Y, tptp_fun_X_8(Y)) & (~(p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))) & p1(tptp_fun_X_8(Y)))))))))))))))))) & r1(X!0, 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) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X)))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))),
% 30.73/21.57 inference(transitivity,[status(thm)],[55, 2])).
% 30.73/21.57 tff(57,plain,
% 30.73/21.57 (?[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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~(![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y))))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) & (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X)))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(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] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(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] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) <=> ?[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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~(![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y))))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) & (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X)))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(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] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(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] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))),
% 30.73/21.58 inference(rewrite,[status(thm)],[])).
% 30.73/21.58 tff(58,plain,
% 30.73/21.58 ((~(~?[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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~(![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y))))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) & (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X)))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(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] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(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] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))) <=> ?[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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~(![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y))))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) & (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X)))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(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] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(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] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))),
% 30.73/21.59 inference(rewrite,[status(thm)],[])).
% 30.73/21.59 tff(59,plain,
% 30.73/21.59 ((~?[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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(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)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, 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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(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)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, 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)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(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)) | p1(X)) | (~p1(Y))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y)))))) | (~![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X)))) | (~(![X: $i] : ((~r1(Y, X)) | p1(X)) | (~p1(Y))))))))) & ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y)))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) & (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(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)) | p1(X))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(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)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(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)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, 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)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(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)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, 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)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(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)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, 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)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(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)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))))) <=> (~?[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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~(![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y))))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) & (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X)))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(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] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(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] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))),
% 30.73/21.59 inference(rewrite,[status(thm)],[])).
% 30.73/21.59 tff(60,plain,
% 30.73/21.59 ((~(~?[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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(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)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, 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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(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)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, 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)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(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)) | p1(X)) | (~p1(Y))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y)))))) | (~![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X)))) | (~(![X: $i] : ((~r1(Y, X)) | p1(X)) | (~p1(Y))))))))) & ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y)))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) & (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(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)) | p1(X))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(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)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(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)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, 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)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(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)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, 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)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(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)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, 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)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(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)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))))) <=> (~(~?[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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~(![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y))))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) & (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X)))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(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] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(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] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))),
% 30.73/21.60 inference(monotonicity,[status(thm)],[59])).
% 30.73/21.60 tff(61,plain,
% 30.73/21.60 ((~(~?[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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(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)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, 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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(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)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, 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)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(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)) | p1(X)) | (~p1(Y))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y)))))) | (~![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X)))) | (~(![X: $i] : ((~r1(Y, X)) | p1(X)) | (~p1(Y))))))))) & ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y)))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) & (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(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)) | p1(X))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(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)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(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)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, 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)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(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)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, 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)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(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)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, 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)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(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)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))))) <=> ?[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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~(![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y))))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) & (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X)))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(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] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(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] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))),
% 30.73/21.61 inference(transitivity,[status(thm)],[60, 58])).
% 30.73/21.61 tff(62,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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(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)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, 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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(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)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, 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)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(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)) | p1(X)) | (~p1(Y))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y)))))) | (~![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X)))) | (~(![X: $i] : ((~r1(Y, X)) | p1(X)) | (~p1(Y))))))))) & ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y)))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) & (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(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)) | p1(X))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(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)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(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)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, 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)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(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)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, 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)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(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)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, 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)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(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)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','main')).
% 30.81/21.61 tff(63,plain,
% 30.81/21.61 (?[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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~(![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y))))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) & (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X)))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(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] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(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] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))),
% 30.81/21.61 inference(modus_ponens,[status(thm)],[62, 61])).
% 30.81/21.61 tff(64,plain,
% 30.81/21.61 (?[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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~(![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y))))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) & (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X)))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(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] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(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] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))),
% 30.81/21.62 inference(modus_ponens,[status(thm)],[63, 57])).
% 30.81/21.62 tff(65,plain,
% 30.81/21.62 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (r1(Y, tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))) & p1(tptp_fun_X_5(Y)) & ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~r1(tptp_fun_X_5(Y), Y)) | ((~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) & p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | ((~p1(tptp_fun_X_7(Y))) & r1(Y, tptp_fun_X_7(Y)) & ![Y: $i] : (![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) & (((~p1(tptp_fun_X_7(Y))) & r1(Y, tptp_fun_X_7(Y)) & ![Y: $i] : (![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (r1(Y, tptp_fun_X_8(Y)) & (~(p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))) & p1(tptp_fun_X_8(Y)))))))))))))))))) & r1(X!0, 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) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X)))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))),
% 30.81/21.62 inference(modus_ponens,[status(thm)],[64, 56])).
% 30.81/21.62 tff(66,plain,
% 30.81/21.62 (r1(X!0, Y!10)),
% 30.81/21.62 inference(and_elim,[status(thm)],[65])).
% 30.81/21.62 tff(67,plain,
% 30.81/21.62 (^[Y: $i] : refl(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))),
% 30.81/21.62 inference(bind,[status(th)],[])).
% 30.81/21.62 tff(68,plain,
% 30.81/21.62 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))),
% 30.81/21.62 inference(quant_intro,[status(thm)],[67])).
% 30.81/21.62 tff(69,plain,
% 30.81/21.62 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))),
% 30.81/21.62 inference(bind,[status(th)],[])).
% 30.81/21.62 tff(70,plain,
% 30.81/21.62 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))),
% 30.81/21.62 inference(quant_intro,[status(thm)],[69])).
% 30.81/21.62 tff(71,plain,
% 30.81/21.62 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))),
% 30.81/21.62 inference(transitivity,[status(thm)],[70, 68])).
% 30.81/21.62 tff(72,plain,
% 30.81/21.62 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))),
% 30.81/21.62 inference(and_elim,[status(thm)],[65])).
% 30.81/21.62 tff(73,plain,
% 30.81/21.62 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))),
% 30.81/21.62 inference(modus_ponens,[status(thm)],[72, 71])).
% 30.81/21.62 tff(74,plain,
% 30.81/21.62 (((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))) | ((~r1(X!0, Y!10)) | ![X: $i] : ((~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))) <=> ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))) | (~r1(X!0, Y!10)) | ![X: $i] : ((~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))),
% 30.81/21.62 inference(rewrite,[status(thm)],[])).
% 30.81/21.62 tff(75,plain,
% 30.81/21.62 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))) | ((~r1(X!0, Y!10)) | ![X: $i] : ((~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))),
% 30.81/21.62 inference(quant_inst,[status(thm)],[])).
% 30.81/21.62 tff(76,plain,
% 30.81/21.62 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))) | (~r1(X!0, Y!10)) | ![X: $i] : ((~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))),
% 30.81/21.62 inference(modus_ponens,[status(thm)],[75, 74])).
% 30.81/21.62 tff(77,plain,
% 30.81/21.62 (![X: $i] : ((~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))),
% 30.81/21.62 inference(unit_resolution,[status(thm)],[76, 73, 66])).
% 30.81/21.62 tff(78,plain,
% 30.81/21.62 (r1(Y!10, X!11)),
% 30.81/21.62 inference(and_elim,[status(thm)],[65])).
% 30.81/21.62 tff(79,plain,
% 30.81/21.62 (((~![X: $i] : ((~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) | ((~r1(Y!10, X!11)) | ![Y: $i] : ((~r1(X!11, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) <=> ((~![X: $i] : ((~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) | (~r1(Y!10, X!11)) | ![Y: $i] : ((~r1(X!11, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))),
% 30.81/21.62 inference(rewrite,[status(thm)],[])).
% 30.81/21.62 tff(80,plain,
% 30.81/21.62 ((~![X: $i] : ((~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) | ((~r1(Y!10, X!11)) | ![Y: $i] : ((~r1(X!11, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))),
% 30.81/21.62 inference(quant_inst,[status(thm)],[])).
% 30.81/21.62 tff(81,plain,
% 30.81/21.62 ((~![X: $i] : ((~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) | (~r1(Y!10, X!11)) | ![Y: $i] : ((~r1(X!11, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))),
% 30.81/21.62 inference(modus_ponens,[status(thm)],[80, 79])).
% 30.81/21.62 tff(82,plain,
% 30.81/21.62 (![Y: $i] : ((~r1(X!11, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))),
% 30.81/21.62 inference(unit_resolution,[status(thm)],[81, 78, 77])).
% 30.81/21.62 tff(83,plain,
% 30.81/21.62 (r1(X!11, Y!12)),
% 30.81/21.62 inference(and_elim,[status(thm)],[65])).
% 30.81/21.62 tff(84,plain,
% 30.81/21.62 (((~![Y: $i] : ((~r1(X!11, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) | ((~r1(X!11, Y!12)) | ![X: $i] : ((~r1(Y!12, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) <=> ((~![Y: $i] : ((~r1(X!11, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) | (~r1(X!11, Y!12)) | ![X: $i] : ((~r1(Y!12, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))),
% 30.81/21.62 inference(rewrite,[status(thm)],[])).
% 30.81/21.62 tff(85,plain,
% 30.81/21.62 ((~![Y: $i] : ((~r1(X!11, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) | ((~r1(X!11, Y!12)) | ![X: $i] : ((~r1(Y!12, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))),
% 30.81/21.63 inference(quant_inst,[status(thm)],[])).
% 30.81/21.63 tff(86,plain,
% 30.81/21.63 ((~![Y: $i] : ((~r1(X!11, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) | (~r1(X!11, Y!12)) | ![X: $i] : ((~r1(Y!12, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))),
% 30.81/21.63 inference(modus_ponens,[status(thm)],[85, 84])).
% 30.81/21.63 tff(87,plain,
% 30.81/21.63 (![X: $i] : ((~r1(Y!12, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))),
% 30.81/21.63 inference(unit_resolution,[status(thm)],[86, 83, 82])).
% 30.81/21.63 tff(88,plain,
% 30.81/21.63 (r1(Y!12, X!13)),
% 30.81/21.63 inference(and_elim,[status(thm)],[65])).
% 30.81/21.63 tff(89,plain,
% 30.81/21.63 (((~![X: $i] : ((~r1(Y!12, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) | ((~r1(Y!12, X!13)) | ![Y: $i] : ((~r1(X!13, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) <=> ((~![X: $i] : ((~r1(Y!12, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) | (~r1(Y!12, X!13)) | ![Y: $i] : ((~r1(X!13, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))),
% 30.81/21.63 inference(rewrite,[status(thm)],[])).
% 30.81/21.63 tff(90,plain,
% 30.81/21.63 ((~![X: $i] : ((~r1(Y!12, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) | ((~r1(Y!12, X!13)) | ![Y: $i] : ((~r1(X!13, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))),
% 30.81/21.63 inference(quant_inst,[status(thm)],[])).
% 30.81/21.63 tff(91,plain,
% 30.81/21.63 ((~![X: $i] : ((~r1(Y!12, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) | (~r1(Y!12, X!13)) | ![Y: $i] : ((~r1(X!13, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))),
% 30.81/21.63 inference(modus_ponens,[status(thm)],[90, 89])).
% 30.81/21.63 tff(92,plain,
% 30.81/21.63 (![Y: $i] : ((~r1(X!13, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))),
% 30.81/21.63 inference(unit_resolution,[status(thm)],[91, 88, 87])).
% 30.81/21.63 tff(93,plain,
% 30.81/21.63 (r1(X!13, Y!14)),
% 30.81/21.63 inference(and_elim,[status(thm)],[65])).
% 30.81/21.63 tff(94,plain,
% 30.81/21.63 (((~![Y: $i] : ((~r1(X!13, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) | ((~r1(X!13, Y!14)) | ![X: $i] : ((~r1(Y!14, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) <=> ((~![Y: $i] : ((~r1(X!13, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) | (~r1(X!13, Y!14)) | ![X: $i] : ((~r1(Y!14, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))),
% 30.81/21.63 inference(rewrite,[status(thm)],[])).
% 30.81/21.63 tff(95,plain,
% 30.81/21.63 ((~![Y: $i] : ((~r1(X!13, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) | ((~r1(X!13, Y!14)) | ![X: $i] : ((~r1(Y!14, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))),
% 30.81/21.63 inference(quant_inst,[status(thm)],[])).
% 30.81/21.63 tff(96,plain,
% 30.81/21.63 ((~![Y: $i] : ((~r1(X!13, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) | (~r1(X!13, Y!14)) | ![X: $i] : ((~r1(Y!14, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))),
% 30.81/21.63 inference(modus_ponens,[status(thm)],[95, 94])).
% 30.81/21.63 tff(97,plain,
% 30.81/21.63 (![X: $i] : ((~r1(Y!14, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))),
% 30.81/21.63 inference(unit_resolution,[status(thm)],[96, 93, 92])).
% 30.81/21.63 tff(98,plain,
% 30.81/21.63 (r1(Y!14, X!15)),
% 30.81/21.63 inference(and_elim,[status(thm)],[65])).
% 30.81/21.63 tff(99,plain,
% 30.81/21.63 (((~![X: $i] : ((~r1(Y!14, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))) | ((~r1(Y!14, X!15)) | ![Y: $i] : ((~r1(X!15, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))) <=> ((~![X: $i] : ((~r1(Y!14, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))) | (~r1(Y!14, X!15)) | ![Y: $i] : ((~r1(X!15, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))),
% 30.81/21.63 inference(rewrite,[status(thm)],[])).
% 30.81/21.63 tff(100,plain,
% 30.81/21.63 ((~![X: $i] : ((~r1(Y!14, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))) | ((~r1(Y!14, X!15)) | ![Y: $i] : ((~r1(X!15, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))),
% 30.81/21.63 inference(quant_inst,[status(thm)],[])).
% 30.81/21.63 tff(101,plain,
% 30.81/21.63 ((~![X: $i] : ((~r1(Y!14, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))) | (~r1(Y!14, X!15)) | ![Y: $i] : ((~r1(X!15, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))),
% 30.81/21.63 inference(modus_ponens,[status(thm)],[100, 99])).
% 30.81/21.63 tff(102,plain,
% 30.81/21.63 (![Y: $i] : ((~r1(X!15, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))),
% 30.81/21.63 inference(unit_resolution,[status(thm)],[101, 98, 97])).
% 30.81/21.63 tff(103,plain,
% 30.81/21.63 (r1(X!15, Y!16)),
% 30.81/21.63 inference(and_elim,[status(thm)],[65])).
% 30.81/21.63 tff(104,plain,
% 30.81/21.63 (((~![Y: $i] : ((~r1(X!15, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) | ((~r1(X!15, Y!16)) | ![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) <=> ((~![Y: $i] : ((~r1(X!15, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) | (~r1(X!15, Y!16)) | ![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))),
% 30.81/21.63 inference(rewrite,[status(thm)],[])).
% 30.81/21.63 tff(105,plain,
% 30.81/21.63 ((~![Y: $i] : ((~r1(X!15, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) | ((~r1(X!15, Y!16)) | ![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))),
% 30.81/21.63 inference(quant_inst,[status(thm)],[])).
% 30.81/21.63 tff(106,plain,
% 30.81/21.63 ((~![Y: $i] : ((~r1(X!15, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) | (~r1(X!15, Y!16)) | ![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))),
% 30.81/21.63 inference(modus_ponens,[status(thm)],[105, 104])).
% 30.81/21.63 tff(107,plain,
% 30.81/21.63 (![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))),
% 30.81/21.63 inference(unit_resolution,[status(thm)],[106, 103, 102])).
% 30.81/21.63 tff(108,plain,
% 30.81/21.63 (r1(Y!16, X!17)),
% 30.81/21.63 inference(and_elim,[status(thm)],[65])).
% 30.81/21.63 tff(109,plain,
% 30.81/21.63 (((~![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | ((~r1(Y!16, X!17)) | ![Y: $i] : ((~r1(X!17, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) <=> ((~![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~r1(Y!16, X!17)) | ![Y: $i] : ((~r1(X!17, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))),
% 30.81/21.63 inference(rewrite,[status(thm)],[])).
% 30.81/21.63 tff(110,plain,
% 30.81/21.63 ((~![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | ((~r1(Y!16, X!17)) | ![Y: $i] : ((~r1(X!17, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))),
% 30.81/21.63 inference(quant_inst,[status(thm)],[])).
% 30.81/21.63 tff(111,plain,
% 30.81/21.63 ((~![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~r1(Y!16, X!17)) | ![Y: $i] : ((~r1(X!17, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))),
% 30.81/21.63 inference(modus_ponens,[status(thm)],[110, 109])).
% 30.81/21.63 tff(112,plain,
% 30.81/21.63 (![Y: $i] : ((~r1(X!17, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))),
% 30.81/21.63 inference(unit_resolution,[status(thm)],[111, 108, 107])).
% 30.81/21.63 tff(113,plain,
% 30.81/21.63 (r1(X!17, Y!18)),
% 30.81/21.63 inference(and_elim,[status(thm)],[65])).
% 30.81/21.63 tff(114,plain,
% 30.81/21.63 (((~![Y: $i] : ((~r1(X!17, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | ((~r1(X!17, Y!18)) | ![X: $i] : ((~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) <=> ((~![Y: $i] : ((~r1(X!17, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~r1(X!17, Y!18)) | ![X: $i] : ((~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))),
% 30.81/21.63 inference(rewrite,[status(thm)],[])).
% 30.81/21.63 tff(115,plain,
% 30.81/21.63 ((~![Y: $i] : ((~r1(X!17, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | ((~r1(X!17, Y!18)) | ![X: $i] : ((~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))),
% 30.81/21.63 inference(quant_inst,[status(thm)],[])).
% 30.81/21.63 tff(116,plain,
% 30.81/21.63 ((~![Y: $i] : ((~r1(X!17, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~r1(X!17, Y!18)) | ![X: $i] : ((~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))),
% 30.81/21.63 inference(modus_ponens,[status(thm)],[115, 114])).
% 30.81/21.63 tff(117,plain,
% 30.81/21.63 (![X: $i] : ((~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))),
% 30.81/21.63 inference(unit_resolution,[status(thm)],[116, 113, 112])).
% 30.81/21.63 tff(118,plain,
% 30.81/21.63 (r1(Y!18, X!19)),
% 30.81/21.63 inference(and_elim,[status(thm)],[65])).
% 30.81/21.63 tff(119,plain,
% 30.81/21.63 (((~![X: $i] : ((~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) | ((~r1(Y!18, X!19)) | ![Y: $i] : ((~r1(X!19, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) <=> ((~![X: $i] : ((~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) | (~r1(Y!18, X!19)) | ![Y: $i] : ((~r1(X!19, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))),
% 30.81/21.63 inference(rewrite,[status(thm)],[])).
% 30.81/21.63 tff(120,plain,
% 30.81/21.63 ((~![X: $i] : ((~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) | ((~r1(Y!18, X!19)) | ![Y: $i] : ((~r1(X!19, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))),
% 30.81/21.63 inference(quant_inst,[status(thm)],[])).
% 30.81/21.63 tff(121,plain,
% 30.81/21.63 ((~![X: $i] : ((~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) | (~r1(Y!18, X!19)) | ![Y: $i] : ((~r1(X!19, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))),
% 30.81/21.63 inference(modus_ponens,[status(thm)],[120, 119])).
% 30.81/21.63 tff(122,plain,
% 30.81/21.63 (![Y: $i] : ((~r1(X!19, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))),
% 30.81/21.63 inference(unit_resolution,[status(thm)],[121, 118, 117])).
% 30.81/21.63 tff(123,plain,
% 30.81/21.63 (r1(X!19, Y!20)),
% 30.81/21.63 inference(and_elim,[status(thm)],[65])).
% 30.81/21.63 tff(124,plain,
% 30.81/21.63 (((~![Y: $i] : ((~r1(X!19, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ((~r1(X!19, Y!20)) | ![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) <=> ((~![Y: $i] : ((~r1(X!19, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | (~r1(X!19, Y!20)) | ![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))),
% 30.81/21.63 inference(rewrite,[status(thm)],[])).
% 30.81/21.63 tff(125,plain,
% 30.81/21.63 ((~![Y: $i] : ((~r1(X!19, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ((~r1(X!19, Y!20)) | ![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))),
% 30.81/21.63 inference(quant_inst,[status(thm)],[])).
% 30.81/21.63 tff(126,plain,
% 30.81/21.63 ((~![Y: $i] : ((~r1(X!19, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | (~r1(X!19, Y!20)) | ![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))),
% 30.81/21.63 inference(modus_ponens,[status(thm)],[125, 124])).
% 30.81/21.63 tff(127,plain,
% 30.81/21.63 (![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))),
% 30.81/21.63 inference(unit_resolution,[status(thm)],[126, 123, 122])).
% 30.81/21.63 tff(128,assumption,(~(p1(tptp_fun_Y_2(X!22)) | (~r1(X!22, tptp_fun_Y_2(X!22))))), introduced(assumption)).
% 30.81/21.63 tff(129,plain,
% 30.81/21.63 ((p1(tptp_fun_Y_2(X!22)) | (~r1(X!22, tptp_fun_Y_2(X!22)))) | r1(X!22, tptp_fun_Y_2(X!22))),
% 30.81/21.63 inference(tautology,[status(thm)],[])).
% 30.81/21.63 tff(130,plain,
% 30.81/21.63 (r1(X!22, tptp_fun_Y_2(X!22))),
% 30.81/21.63 inference(unit_resolution,[status(thm)],[129, 128])).
% 30.81/21.63 tff(131,plain,
% 30.81/21.63 ((p1(tptp_fun_Y_2(X!22)) | (~r1(X!22, tptp_fun_Y_2(X!22)))) | (~p1(tptp_fun_Y_2(X!22)))),
% 30.81/21.63 inference(tautology,[status(thm)],[])).
% 30.81/21.63 tff(132,plain,
% 30.81/21.63 (~p1(tptp_fun_Y_2(X!22))),
% 30.81/21.63 inference(unit_resolution,[status(thm)],[131, 128])).
% 30.81/21.63 tff(133,plain,
% 30.81/21.63 (^[Y: $i] : refl((p1(Y) | (~r1(X!22, Y))) <=> (p1(Y) | (~r1(X!22, Y))))),
% 30.81/21.63 inference(bind,[status(th)],[])).
% 30.81/21.63 tff(134,plain,
% 30.81/21.63 (![Y: $i] : (p1(Y) | (~r1(X!22, Y))) <=> ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))),
% 30.81/21.63 inference(quant_intro,[status(thm)],[133])).
% 30.81/21.63 tff(135,plain,
% 30.81/21.63 (![Y: $i] : (p1(Y) | (~r1(X!22, Y)))),
% 30.81/21.63 inference(and_elim,[status(thm)],[65])).
% 30.81/21.63 tff(136,plain,
% 30.81/21.63 (![Y: $i] : (p1(Y) | (~r1(X!22, Y)))),
% 30.81/21.63 inference(modus_ponens,[status(thm)],[135, 134])).
% 30.81/21.63 tff(137,plain,
% 30.81/21.63 (((~![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) | (p1(tptp_fun_Y_2(X!22)) | (~r1(X!22, tptp_fun_Y_2(X!22))))) <=> ((~![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) | p1(tptp_fun_Y_2(X!22)) | (~r1(X!22, tptp_fun_Y_2(X!22))))),
% 30.81/21.63 inference(rewrite,[status(thm)],[])).
% 30.81/21.63 tff(138,plain,
% 30.81/21.63 ((~![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) | (p1(tptp_fun_Y_2(X!22)) | (~r1(X!22, tptp_fun_Y_2(X!22))))),
% 30.81/21.63 inference(quant_inst,[status(thm)],[])).
% 30.81/21.63 tff(139,plain,
% 30.81/21.63 ((~![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) | p1(tptp_fun_Y_2(X!22)) | (~r1(X!22, tptp_fun_Y_2(X!22)))),
% 30.81/21.63 inference(modus_ponens,[status(thm)],[138, 137])).
% 30.81/21.63 tff(140,plain,
% 30.81/21.63 ($false),
% 30.81/21.63 inference(unit_resolution,[status(thm)],[139, 136, 132, 130])).
% 30.81/21.63 tff(141,plain,(p1(tptp_fun_Y_2(X!22)) | (~r1(X!22, tptp_fun_Y_2(X!22)))), inference(lemma,lemma(discharge,[]))).
% 30.81/21.63 tff(142,plain,
% 30.81/21.63 (r1(Y!20, X!22)),
% 30.81/21.63 inference(and_elim,[status(thm)],[65])).
% 30.81/21.63 tff(143,plain,
% 30.81/21.63 (((~![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | ((~r1(Y!20, X!22)) | (~(p1(tptp_fun_Y_2(X!22)) | (~r1(X!22, tptp_fun_Y_2(X!22))))) | ![Y: $i] : ((~r1(X!22, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) <=> ((~![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(Y!20, X!22)) | (~(p1(tptp_fun_Y_2(X!22)) | (~r1(X!22, tptp_fun_Y_2(X!22))))) | ![Y: $i] : ((~r1(X!22, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))),
% 30.81/21.63 inference(rewrite,[status(thm)],[])).
% 30.81/21.63 tff(144,plain,
% 30.81/21.63 ((~![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | ((~r1(Y!20, X!22)) | (~(p1(tptp_fun_Y_2(X!22)) | (~r1(X!22, tptp_fun_Y_2(X!22))))) | ![Y: $i] : ((~r1(X!22, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))),
% 30.81/21.63 inference(quant_inst,[status(thm)],[])).
% 30.81/21.63 tff(145,plain,
% 30.81/21.63 ((~![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(Y!20, X!22)) | (~(p1(tptp_fun_Y_2(X!22)) | (~r1(X!22, tptp_fun_Y_2(X!22))))) | ![Y: $i] : ((~r1(X!22, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))),
% 30.81/21.63 inference(modus_ponens,[status(thm)],[144, 143])).
% 30.81/21.63 tff(146,plain,
% 30.81/21.63 ($false),
% 30.81/21.63 inference(unit_resolution,[status(thm)],[145, 142, 141, 127, 1])).
% 30.81/21.63 tff(147,plain,(![Y: $i] : ((~r1(X!22, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))), inference(lemma,lemma(discharge,[]))).
% 30.81/21.63 tff(148,assumption,(~((~r1(Y!20, tptp_fun_X_5(Y!20))) | (~p1(tptp_fun_X_5(Y!20))) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | p1(tptp_fun_Y_6(Y!20)))), introduced(assumption)).
% 30.81/21.63 tff(149,plain,
% 30.81/21.63 (((~r1(Y!20, tptp_fun_X_5(Y!20))) | (~p1(tptp_fun_X_5(Y!20))) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | p1(tptp_fun_Y_6(Y!20))) | (~p1(tptp_fun_Y_6(Y!20)))),
% 30.81/21.63 inference(tautology,[status(thm)],[])).
% 30.81/21.63 tff(150,plain,
% 30.81/21.63 (~p1(tptp_fun_Y_6(Y!20))),
% 30.81/21.63 inference(unit_resolution,[status(thm)],[149, 148])).
% 30.81/21.63 tff(151,plain,
% 30.81/21.63 (((~r1(Y!20, tptp_fun_X_5(Y!20))) | (~p1(tptp_fun_X_5(Y!20))) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | p1(tptp_fun_Y_6(Y!20))) | r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))),
% 30.81/21.64 inference(tautology,[status(thm)],[])).
% 30.81/21.64 tff(152,plain,
% 30.81/21.64 (r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))),
% 30.81/21.64 inference(unit_resolution,[status(thm)],[151, 148])).
% 30.81/21.64 tff(153,assumption,(![X: $i] : (p1(X) | (~r1(tptp_fun_X_5(Y!20), X)))), introduced(assumption)).
% 30.81/21.64 tff(154,assumption,(~p1(tptp_fun_Y_6(Y!20))), introduced(assumption)).
% 30.81/21.64 tff(155,assumption,(r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))), introduced(assumption)).
% 30.81/21.64 tff(156,plain,
% 30.81/21.64 (((~![X: $i] : (p1(X) | (~r1(tptp_fun_X_5(Y!20), X)))) | (p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))))) <=> ((~![X: $i] : (p1(X) | (~r1(tptp_fun_X_5(Y!20), X)))) | p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))))),
% 30.81/21.64 inference(rewrite,[status(thm)],[])).
% 30.81/21.64 tff(157,plain,
% 30.81/21.64 ((~![X: $i] : (p1(X) | (~r1(tptp_fun_X_5(Y!20), X)))) | (p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))))),
% 30.81/21.64 inference(quant_inst,[status(thm)],[])).
% 30.81/21.64 tff(158,plain,
% 30.81/21.64 ((~![X: $i] : (p1(X) | (~r1(tptp_fun_X_5(Y!20), X)))) | p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20)))),
% 30.81/21.64 inference(modus_ponens,[status(thm)],[157, 156])).
% 30.81/21.64 tff(159,plain,
% 30.81/21.64 ($false),
% 30.81/21.64 inference(unit_resolution,[status(thm)],[158, 155, 154, 153])).
% 30.81/21.64 tff(160,plain,((~![X: $i] : (p1(X) | (~r1(tptp_fun_X_5(Y!20), X)))) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | p1(tptp_fun_Y_6(Y!20))), inference(lemma,lemma(discharge,[]))).
% 30.81/21.64 tff(161,plain,
% 30.81/21.64 (~![X: $i] : (p1(X) | (~r1(tptp_fun_X_5(Y!20), X)))),
% 30.81/21.64 inference(unit_resolution,[status(thm)],[160, 152, 150])).
% 30.81/21.64 tff(162,assumption,(![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))), introduced(assumption)).
% 30.81/21.64 tff(163,assumption,(~![X: $i] : (p1(X) | (~r1(tptp_fun_X_5(Y!20), X)))), introduced(assumption)).
% 30.81/21.64 tff(164,assumption,(~r1(tptp_fun_X_5(Y!20), tptp_fun_X_5(Y!20))), introduced(assumption)).
% 30.81/21.64 tff(165,plain,
% 30.81/21.64 (^[X: $i] : refl(r1(X, X) <=> r1(X, X))),
% 30.81/21.64 inference(bind,[status(th)],[])).
% 30.81/21.64 tff(166,plain,
% 30.81/21.64 (![X: $i] : r1(X, X) <=> ![X: $i] : r1(X, X)),
% 30.81/21.64 inference(quant_intro,[status(thm)],[165])).
% 30.81/21.64 tff(167,plain,
% 30.81/21.64 (![X: $i] : r1(X, X) <=> ![X: $i] : r1(X, X)),
% 30.81/21.64 inference(rewrite,[status(thm)],[])).
% 30.81/21.64 tff(168,axiom,(![X: $i] : r1(X, X)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','reflexivity')).
% 30.81/21.64 tff(169,plain,
% 30.81/21.64 (![X: $i] : r1(X, X)),
% 30.81/21.64 inference(modus_ponens,[status(thm)],[168, 167])).
% 30.81/21.64 tff(170,plain,(
% 30.81/21.64 ![X: $i] : r1(X, X)),
% 30.81/21.64 inference(skolemize,[status(sab)],[169])).
% 30.81/21.64 tff(171,plain,
% 30.81/21.64 (![X: $i] : r1(X, X)),
% 30.81/21.64 inference(modus_ponens,[status(thm)],[170, 166])).
% 30.81/21.64 tff(172,plain,
% 30.81/21.64 ((~![X: $i] : r1(X, X)) | r1(tptp_fun_X_5(Y!20), tptp_fun_X_5(Y!20))),
% 30.81/21.64 inference(quant_inst,[status(thm)],[])).
% 30.81/21.64 tff(173,plain,
% 30.81/21.64 ($false),
% 30.81/21.64 inference(unit_resolution,[status(thm)],[172, 171, 164])).
% 30.81/21.64 tff(174,plain,(r1(tptp_fun_X_5(Y!20), tptp_fun_X_5(Y!20))), inference(lemma,lemma(discharge,[]))).
% 30.81/21.64 tff(175,plain,
% 30.81/21.64 (((~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ((~r1(tptp_fun_X_5(Y!20), tptp_fun_X_5(Y!20))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_X_5(Y!20), X))))) <=> ((~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_X_5(Y!20))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_X_5(Y!20), X))))),
% 30.81/21.64 inference(rewrite,[status(thm)],[])).
% 30.81/21.64 tff(176,plain,
% 30.81/21.64 ((~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ((~r1(tptp_fun_X_5(Y!20), tptp_fun_X_5(Y!20))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_X_5(Y!20), X))))),
% 30.81/21.64 inference(quant_inst,[status(thm)],[])).
% 30.81/21.64 tff(177,plain,
% 30.81/21.64 ((~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_X_5(Y!20))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_X_5(Y!20), X)))),
% 30.81/21.64 inference(modus_ponens,[status(thm)],[176, 175])).
% 30.81/21.64 tff(178,plain,
% 30.81/21.64 ($false),
% 30.81/21.64 inference(unit_resolution,[status(thm)],[177, 174, 163, 162])).
% 30.81/21.64 tff(179,plain,((~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_X_5(Y!20), X)))), inference(lemma,lemma(discharge,[]))).
% 30.81/21.64 tff(180,plain,
% 30.81/21.64 (~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))),
% 30.81/21.64 inference(unit_resolution,[status(thm)],[179, 161])).
% 30.81/21.64 tff(181,plain,
% 30.81/21.64 (((~r1(Y!20, tptp_fun_X_5(Y!20))) | (~p1(tptp_fun_X_5(Y!20))) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | p1(tptp_fun_Y_6(Y!20))) | r1(Y!20, tptp_fun_X_5(Y!20))),
% 30.81/21.64 inference(tautology,[status(thm)],[])).
% 30.81/21.64 tff(182,plain,
% 30.81/21.64 (r1(Y!20, tptp_fun_X_5(Y!20))),
% 30.81/21.64 inference(unit_resolution,[status(thm)],[181, 148])).
% 30.81/21.64 tff(183,plain,
% 30.81/21.64 (((~r1(Y!20, tptp_fun_X_5(Y!20))) | (~p1(tptp_fun_X_5(Y!20))) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | p1(tptp_fun_Y_6(Y!20))) | ![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))),
% 30.81/21.64 inference(tautology,[status(thm)],[])).
% 30.81/21.64 tff(184,plain,
% 30.81/21.64 (![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))),
% 30.81/21.64 inference(unit_resolution,[status(thm)],[183, 148])).
% 30.81/21.64 tff(185,assumption,((~(p1(Y!20) | ![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(![X: $i] : ((~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~p1(Y!20)) | ![X: $i] : (p1(X) | (~r1(Y!20, X))) | (~((~r1(Y!20, tptp_fun_X_5(Y!20))) | (~p1(tptp_fun_X_5(Y!20))) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | p1(tptp_fun_Y_6(Y!20)))))) | (~![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))), introduced(assumption)).
% 30.81/21.64 tff(186,plain,
% 30.81/21.64 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : (![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : (![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y)))))))))))))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))))))),
% 30.81/21.64 inference(bind,[status(th)],[])).
% 30.81/21.64 tff(187,plain,
% 30.81/21.64 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : (![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : (![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y)))))))))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))))),
% 30.81/21.64 inference(quant_intro,[status(thm)],[186])).
% 30.81/21.64 tff(188,plain,
% 30.81/21.64 (^[Y: $i] : refl(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : (![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : (![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y)))))))))))))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : (![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : (![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y)))))))))))))))))))))))),
% 30.81/21.64 inference(bind,[status(th)],[])).
% 30.81/21.64 tff(189,plain,
% 30.81/21.64 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : (![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : (![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y)))))))))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : (![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : (![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))))))))))))))))),
% 30.81/21.64 inference(quant_intro,[status(thm)],[188])).
% 30.81/21.64 tff(190,plain,
% 30.81/21.64 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : (![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : (![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y)))))))))))))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : (![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : (![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y)))))))))))))))))))))))),
% 30.81/21.64 inference(bind,[status(th)],[])).
% 30.81/21.64 tff(191,plain,
% 30.81/21.64 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : (![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : (![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y)))))))))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : (![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : (![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))))))))))))))))),
% 30.81/21.64 inference(quant_intro,[status(thm)],[190])).
% 30.81/21.64 tff(192,plain,
% 30.81/21.64 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : (![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : (![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y)))))))))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : (![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : (![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))))))))))))))))),
% 30.81/21.64 inference(transitivity,[status(thm)],[191, 189])).
% 30.81/21.64 tff(193,plain,
% 30.81/21.64 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (r1(Y, tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))) & p1(tptp_fun_X_5(Y)) & ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~r1(tptp_fun_X_5(Y), Y)) | ((~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) & p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | ((~p1(tptp_fun_X_7(Y))) & r1(Y, tptp_fun_X_7(Y)) & ![Y: $i] : (![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) & (((~p1(tptp_fun_X_7(Y))) & r1(Y, tptp_fun_X_7(Y)) & ![Y: $i] : (![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (r1(Y, tptp_fun_X_8(Y)) & (~(p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))) & p1(tptp_fun_X_8(Y)))))))))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : (![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : (![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y)))))))))))))))))))))))),
% 30.81/21.64 inference(bind,[status(th)],[])).
% 30.81/21.64 tff(194,plain,
% 30.81/21.64 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (r1(Y, tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))) & p1(tptp_fun_X_5(Y)) & ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~r1(tptp_fun_X_5(Y), Y)) | ((~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) & p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | ((~p1(tptp_fun_X_7(Y))) & r1(Y, tptp_fun_X_7(Y)) & ![Y: $i] : (![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) & (((~p1(tptp_fun_X_7(Y))) & r1(Y, tptp_fun_X_7(Y)) & ![Y: $i] : (![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (r1(Y, tptp_fun_X_8(Y)) & (~(p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))) & p1(tptp_fun_X_8(Y)))))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : (![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : (![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))))))))))))))))),
% 30.81/21.64 inference(quant_intro,[status(thm)],[193])).
% 30.81/21.64 tff(195,plain,
% 30.81/21.64 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (r1(Y, tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))) & p1(tptp_fun_X_5(Y)) & ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~r1(tptp_fun_X_5(Y), Y)) | ((~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) & p1(Y)))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | ((~p1(tptp_fun_X_7(Y))) & r1(Y, tptp_fun_X_7(Y)) & ![Y: $i] : (![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) & (((~p1(tptp_fun_X_7(Y))) & r1(Y, tptp_fun_X_7(Y)) & ![Y: $i] : (![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (r1(Y, tptp_fun_X_8(Y)) & (~(p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))) & p1(tptp_fun_X_8(Y))))))))))))))))))),
% 30.81/21.64 inference(and_elim,[status(thm)],[65])).
% 30.81/21.64 tff(196,plain,
% 30.81/21.64 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : (![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : (![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))))))))))))))))),
% 30.81/21.65 inference(modus_ponens,[status(thm)],[195, 194])).
% 30.81/21.65 tff(197,plain,
% 30.81/21.65 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : (![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : (![X: $i] : (p1(X) | (~r1(Y, X))) | (~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))))))))))))))))),
% 30.81/21.65 inference(modus_ponens,[status(thm)],[196, 192])).
% 30.81/21.65 tff(198,plain,
% 30.81/21.65 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))))),
% 30.81/21.65 inference(modus_ponens,[status(thm)],[197, 187])).
% 30.81/21.65 tff(199,plain,
% 30.81/21.65 (((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))))) | ((~r1(X!0, Y!10)) | ![X: $i] : ((~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))))) <=> ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))))) | (~r1(X!0, Y!10)) | ![X: $i] : ((~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))))),
% 30.81/21.65 inference(rewrite,[status(thm)],[])).
% 30.81/21.65 tff(200,plain,
% 30.81/21.65 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))))) | ((~r1(X!0, Y!10)) | ![X: $i] : ((~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))))),
% 30.81/21.65 inference(quant_inst,[status(thm)],[])).
% 30.81/21.65 tff(201,plain,
% 30.81/21.65 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))))) | (~r1(X!0, Y!10)) | ![X: $i] : ((~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))))),
% 30.81/21.65 inference(modus_ponens,[status(thm)],[200, 199])).
% 30.81/21.65 tff(202,plain,
% 30.81/21.65 (![X: $i] : ((~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))))),
% 30.81/21.65 inference(unit_resolution,[status(thm)],[201, 198, 66])).
% 30.81/21.65 tff(203,plain,
% 30.81/21.65 (((~![X: $i] : ((~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))))) | ((~r1(Y!10, X!11)) | ![Y: $i] : ((~r1(X!11, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))))) <=> ((~![X: $i] : ((~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))))) | (~r1(Y!10, X!11)) | ![Y: $i] : ((~r1(X!11, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))))),
% 30.81/21.65 inference(rewrite,[status(thm)],[])).
% 30.81/21.65 tff(204,plain,
% 30.81/21.65 ((~![X: $i] : ((~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))))) | ((~r1(Y!10, X!11)) | ![Y: $i] : ((~r1(X!11, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))))),
% 30.81/21.65 inference(quant_inst,[status(thm)],[])).
% 30.81/21.65 tff(205,plain,
% 30.81/21.65 ((~![X: $i] : ((~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))))) | (~r1(Y!10, X!11)) | ![Y: $i] : ((~r1(X!11, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))),
% 30.81/21.65 inference(modus_ponens,[status(thm)],[204, 203])).
% 30.81/21.65 tff(206,plain,
% 30.81/21.65 (![Y: $i] : ((~r1(X!11, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))),
% 30.81/21.65 inference(unit_resolution,[status(thm)],[205, 78, 202])).
% 30.81/21.65 tff(207,plain,
% 30.81/21.65 (((~![Y: $i] : ((~r1(X!11, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))) | ((~r1(X!11, Y!12)) | ![X: $i] : ((~r1(Y!12, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))) <=> ((~![Y: $i] : ((~r1(X!11, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))) | (~r1(X!11, Y!12)) | ![X: $i] : ((~r1(Y!12, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))),
% 30.81/21.66 inference(rewrite,[status(thm)],[])).
% 30.81/21.66 tff(208,plain,
% 30.81/21.66 ((~![Y: $i] : ((~r1(X!11, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))) | ((~r1(X!11, Y!12)) | ![X: $i] : ((~r1(Y!12, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))),
% 30.81/21.66 inference(quant_inst,[status(thm)],[])).
% 30.81/21.66 tff(209,plain,
% 30.81/21.66 ((~![Y: $i] : ((~r1(X!11, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))) | (~r1(X!11, Y!12)) | ![X: $i] : ((~r1(Y!12, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))),
% 30.81/21.66 inference(modus_ponens,[status(thm)],[208, 207])).
% 30.81/21.66 tff(210,plain,
% 30.81/21.66 (![X: $i] : ((~r1(Y!12, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))),
% 30.81/21.66 inference(unit_resolution,[status(thm)],[209, 83, 206])).
% 30.81/21.66 tff(211,plain,
% 30.81/21.66 (((~![X: $i] : ((~r1(Y!12, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))) | ((~r1(Y!12, X!13)) | ![Y: $i] : ((~r1(X!13, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))) <=> ((~![X: $i] : ((~r1(Y!12, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))) | (~r1(Y!12, X!13)) | ![Y: $i] : ((~r1(X!13, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))),
% 30.81/21.66 inference(rewrite,[status(thm)],[])).
% 30.81/21.66 tff(212,plain,
% 30.81/21.66 ((~![X: $i] : ((~r1(Y!12, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))) | ((~r1(Y!12, X!13)) | ![Y: $i] : ((~r1(X!13, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))),
% 30.81/21.66 inference(quant_inst,[status(thm)],[])).
% 30.81/21.66 tff(213,plain,
% 30.81/21.66 ((~![X: $i] : ((~r1(Y!12, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))) | (~r1(Y!12, X!13)) | ![Y: $i] : ((~r1(X!13, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))),
% 30.81/21.66 inference(modus_ponens,[status(thm)],[212, 211])).
% 30.81/21.66 tff(214,plain,
% 30.81/21.66 (![Y: $i] : ((~r1(X!13, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))),
% 30.81/21.66 inference(unit_resolution,[status(thm)],[213, 88, 210])).
% 30.81/21.66 tff(215,plain,
% 30.81/21.66 (((~![Y: $i] : ((~r1(X!13, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))) | ((~r1(X!13, Y!14)) | ![X: $i] : ((~r1(Y!14, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))) <=> ((~![Y: $i] : ((~r1(X!13, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))) | (~r1(X!13, Y!14)) | ![X: $i] : ((~r1(Y!14, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))),
% 30.81/21.66 inference(rewrite,[status(thm)],[])).
% 30.81/21.66 tff(216,plain,
% 30.81/21.66 ((~![Y: $i] : ((~r1(X!13, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))) | ((~r1(X!13, Y!14)) | ![X: $i] : ((~r1(Y!14, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))),
% 30.81/21.66 inference(quant_inst,[status(thm)],[])).
% 30.81/21.66 tff(217,plain,
% 30.81/21.66 ((~![Y: $i] : ((~r1(X!13, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))) | (~r1(X!13, Y!14)) | ![X: $i] : ((~r1(Y!14, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))),
% 30.81/21.66 inference(modus_ponens,[status(thm)],[216, 215])).
% 30.81/21.66 tff(218,plain,
% 30.81/21.66 (![X: $i] : ((~r1(Y!14, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))),
% 30.81/21.66 inference(unit_resolution,[status(thm)],[217, 93, 214])).
% 30.81/21.66 tff(219,plain,
% 30.81/21.66 (((~![X: $i] : ((~r1(Y!14, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))) | ((~r1(Y!14, X!15)) | ![Y: $i] : ((~r1(X!15, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))) <=> ((~![X: $i] : ((~r1(Y!14, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))) | (~r1(Y!14, X!15)) | ![Y: $i] : ((~r1(X!15, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))),
% 30.81/21.67 inference(rewrite,[status(thm)],[])).
% 30.81/21.67 tff(220,plain,
% 30.81/21.67 ((~![X: $i] : ((~r1(Y!14, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))) | ((~r1(Y!14, X!15)) | ![Y: $i] : ((~r1(X!15, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))),
% 30.81/21.67 inference(quant_inst,[status(thm)],[])).
% 30.81/21.67 tff(221,plain,
% 30.81/21.67 ((~![X: $i] : ((~r1(Y!14, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))) | (~r1(Y!14, X!15)) | ![Y: $i] : ((~r1(X!15, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))),
% 30.81/21.67 inference(modus_ponens,[status(thm)],[220, 219])).
% 30.81/21.67 tff(222,plain,
% 30.81/21.67 (![Y: $i] : ((~r1(X!15, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))),
% 30.81/21.67 inference(unit_resolution,[status(thm)],[221, 98, 218])).
% 30.81/21.67 tff(223,plain,
% 30.81/21.67 (((~![Y: $i] : ((~r1(X!15, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))) | ((~r1(X!15, Y!16)) | ![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))) <=> ((~![Y: $i] : ((~r1(X!15, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))) | (~r1(X!15, Y!16)) | ![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))),
% 30.81/21.67 inference(rewrite,[status(thm)],[])).
% 30.81/21.67 tff(224,plain,
% 30.81/21.67 ((~![Y: $i] : ((~r1(X!15, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))) | ((~r1(X!15, Y!16)) | ![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))),
% 30.81/21.67 inference(quant_inst,[status(thm)],[])).
% 30.81/21.67 tff(225,plain,
% 30.81/21.67 ((~![Y: $i] : ((~r1(X!15, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))) | (~r1(X!15, Y!16)) | ![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))),
% 30.81/21.67 inference(modus_ponens,[status(thm)],[224, 223])).
% 30.81/21.67 tff(226,plain,
% 30.81/21.67 (![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))),
% 30.81/21.67 inference(unit_resolution,[status(thm)],[225, 103, 222])).
% 30.81/21.67 tff(227,plain,
% 30.81/21.67 (((~![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) | ((~r1(Y!16, X!17)) | ![Y: $i] : ((~r1(X!17, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) <=> ((~![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) | (~r1(Y!16, X!17)) | ![Y: $i] : ((~r1(X!17, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))),
% 30.81/21.67 inference(rewrite,[status(thm)],[])).
% 30.81/21.67 tff(228,plain,
% 30.81/21.67 ((~![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) | ((~r1(Y!16, X!17)) | ![Y: $i] : ((~r1(X!17, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))),
% 30.81/21.67 inference(quant_inst,[status(thm)],[])).
% 30.81/21.67 tff(229,plain,
% 30.81/21.67 ((~![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) | (~r1(Y!16, X!17)) | ![Y: $i] : ((~r1(X!17, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))),
% 30.81/21.67 inference(modus_ponens,[status(thm)],[228, 227])).
% 30.81/21.67 tff(230,plain,
% 30.81/21.67 (![Y: $i] : ((~r1(X!17, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))),
% 30.81/21.67 inference(unit_resolution,[status(thm)],[229, 108, 226])).
% 30.81/21.67 tff(231,plain,
% 30.81/21.67 (((~![Y: $i] : ((~r1(X!17, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) | ((~r1(X!17, Y!18)) | ![X: $i] : ((~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) <=> ((~![Y: $i] : ((~r1(X!17, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) | (~r1(X!17, Y!18)) | ![X: $i] : ((~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))),
% 30.81/21.67 inference(rewrite,[status(thm)],[])).
% 30.81/21.67 tff(232,plain,
% 30.81/21.67 ((~![Y: $i] : ((~r1(X!17, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) | ((~r1(X!17, Y!18)) | ![X: $i] : ((~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))),
% 30.81/21.67 inference(quant_inst,[status(thm)],[])).
% 30.81/21.67 tff(233,plain,
% 30.81/21.67 ((~![Y: $i] : ((~r1(X!17, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) | (~r1(X!17, Y!18)) | ![X: $i] : ((~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))),
% 30.81/21.68 inference(modus_ponens,[status(thm)],[232, 231])).
% 30.81/21.68 tff(234,plain,
% 30.81/21.68 (![X: $i] : ((~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))),
% 30.81/21.68 inference(unit_resolution,[status(thm)],[233, 113, 230])).
% 30.81/21.68 tff(235,plain,
% 30.81/21.68 (((~![X: $i] : ((~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) | ((~r1(Y!18, X!19)) | ![Y: $i] : ((~r1(X!19, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) <=> ((~![X: $i] : ((~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) | (~r1(Y!18, X!19)) | ![Y: $i] : ((~r1(X!19, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))),
% 30.88/21.68 inference(rewrite,[status(thm)],[])).
% 30.88/21.68 tff(236,plain,
% 30.88/21.68 ((~![X: $i] : ((~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) | ((~r1(Y!18, X!19)) | ![Y: $i] : ((~r1(X!19, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))),
% 30.88/21.68 inference(quant_inst,[status(thm)],[])).
% 30.88/21.68 tff(237,plain,
% 30.88/21.68 ((~![X: $i] : ((~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) | (~r1(Y!18, X!19)) | ![Y: $i] : ((~r1(X!19, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))),
% 30.88/21.68 inference(modus_ponens,[status(thm)],[236, 235])).
% 30.88/21.68 tff(238,plain,
% 30.88/21.68 (![Y: $i] : ((~r1(X!19, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))),
% 30.88/21.68 inference(unit_resolution,[status(thm)],[237, 118, 234])).
% 30.88/21.68 tff(239,plain,
% 30.88/21.68 (((~![Y: $i] : ((~r1(X!19, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) | ((~r1(X!19, Y!20)) | (~((~(p1(Y!20) | ![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(![X: $i] : ((~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~p1(Y!20)) | ![X: $i] : (p1(X) | (~r1(Y!20, X))) | (~((~r1(Y!20, tptp_fun_X_5(Y!20))) | (~p1(tptp_fun_X_5(Y!20))) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | p1(tptp_fun_Y_6(Y!20)))))) | (~![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) <=> ((~![Y: $i] : ((~r1(X!19, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) | (~r1(X!19, Y!20)) | (~((~(p1(Y!20) | ![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(![X: $i] : ((~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~p1(Y!20)) | ![X: $i] : (p1(X) | (~r1(Y!20, X))) | (~((~r1(Y!20, tptp_fun_X_5(Y!20))) | (~p1(tptp_fun_X_5(Y!20))) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | p1(tptp_fun_Y_6(Y!20)))))) | (~![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))),
% 30.88/21.68 inference(rewrite,[status(thm)],[])).
% 30.88/21.68 tff(240,plain,
% 30.88/21.68 (((~r1(X!19, Y!20)) | (~((~![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y!20)) | ![X: $i] : (p1(X) | (~r1(Y!20, X))) | ![X: $i] : ((~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y!20, tptp_fun_X_5(Y!20))) | (~p1(tptp_fun_X_5(Y!20))) | p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y!20) | ![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))) <=> ((~r1(X!19, Y!20)) | (~((~(p1(Y!20) | ![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(![X: $i] : ((~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~p1(Y!20)) | ![X: $i] : (p1(X) | (~r1(Y!20, X))) | (~((~r1(Y!20, tptp_fun_X_5(Y!20))) | (~p1(tptp_fun_X_5(Y!20))) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | p1(tptp_fun_Y_6(Y!20)))))) | (~![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))),
% 30.88/21.68 inference(rewrite,[status(thm)],[])).
% 30.88/21.68 tff(241,plain,
% 30.88/21.68 (((~![Y: $i] : ((~r1(X!19, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) | ((~r1(X!19, Y!20)) | (~((~![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y!20)) | ![X: $i] : (p1(X) | (~r1(Y!20, X))) | ![X: $i] : ((~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y!20, tptp_fun_X_5(Y!20))) | (~p1(tptp_fun_X_5(Y!20))) | p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y!20) | ![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) <=> ((~![Y: $i] : ((~r1(X!19, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) | ((~r1(X!19, Y!20)) | (~((~(p1(Y!20) | ![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(![X: $i] : ((~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~p1(Y!20)) | ![X: $i] : (p1(X) | (~r1(Y!20, X))) | (~((~r1(Y!20, tptp_fun_X_5(Y!20))) | (~p1(tptp_fun_X_5(Y!20))) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | p1(tptp_fun_Y_6(Y!20)))))) | (~![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))),
% 30.88/21.68 inference(monotonicity,[status(thm)],[240])).
% 30.88/21.68 tff(242,plain,
% 30.88/21.68 (((~![Y: $i] : ((~r1(X!19, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) | ((~r1(X!19, Y!20)) | (~((~![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y!20)) | ![X: $i] : (p1(X) | (~r1(Y!20, X))) | ![X: $i] : ((~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y!20, tptp_fun_X_5(Y!20))) | (~p1(tptp_fun_X_5(Y!20))) | p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y!20) | ![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) <=> ((~![Y: $i] : ((~r1(X!19, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) | (~r1(X!19, Y!20)) | (~((~(p1(Y!20) | ![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(![X: $i] : ((~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~p1(Y!20)) | ![X: $i] : (p1(X) | (~r1(Y!20, X))) | (~((~r1(Y!20, tptp_fun_X_5(Y!20))) | (~p1(tptp_fun_X_5(Y!20))) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | p1(tptp_fun_Y_6(Y!20)))))) | (~![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))),
% 30.88/21.68 inference(transitivity,[status(thm)],[241, 239])).
% 30.88/21.68 tff(243,plain,
% 30.88/21.68 ((~![Y: $i] : ((~r1(X!19, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) | ((~r1(X!19, Y!20)) | (~((~![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y!20)) | ![X: $i] : (p1(X) | (~r1(Y!20, X))) | ![X: $i] : ((~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y!20, tptp_fun_X_5(Y!20))) | (~p1(tptp_fun_X_5(Y!20))) | p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y!20) | ![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))),
% 30.88/21.68 inference(quant_inst,[status(thm)],[])).
% 30.88/21.68 tff(244,plain,
% 30.88/21.68 ((~![Y: $i] : ((~r1(X!19, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) | (~r1(X!19, Y!20)) | (~((~(p1(Y!20) | ![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(![X: $i] : ((~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~p1(Y!20)) | ![X: $i] : (p1(X) | (~r1(Y!20, X))) | (~((~r1(Y!20, tptp_fun_X_5(Y!20))) | (~p1(tptp_fun_X_5(Y!20))) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | p1(tptp_fun_Y_6(Y!20)))))) | (~![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))),
% 30.88/21.69 inference(modus_ponens,[status(thm)],[243, 242])).
% 30.88/21.69 tff(245,plain,
% 30.88/21.69 ($false),
% 30.88/21.69 inference(unit_resolution,[status(thm)],[244, 123, 238, 185])).
% 30.88/21.69 tff(246,plain,(~((~(p1(Y!20) | ![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(![X: $i] : ((~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~p1(Y!20)) | ![X: $i] : (p1(X) | (~r1(Y!20, X))) | (~((~r1(Y!20, tptp_fun_X_5(Y!20))) | (~p1(tptp_fun_X_5(Y!20))) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | p1(tptp_fun_Y_6(Y!20)))))) | (~![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))), inference(lemma,lemma(discharge,[]))).
% 30.88/21.69 tff(247,plain,
% 30.88/21.69 (((~(p1(Y!20) | ![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(![X: $i] : ((~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~p1(Y!20)) | ![X: $i] : (p1(X) | (~r1(Y!20, X))) | (~((~r1(Y!20, tptp_fun_X_5(Y!20))) | (~p1(tptp_fun_X_5(Y!20))) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | p1(tptp_fun_Y_6(Y!20)))))) | (~![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))),
% 30.88/21.69 inference(tautology,[status(thm)],[])).
% 30.88/21.69 tff(248,plain,
% 30.88/21.69 (![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))),
% 30.88/21.69 inference(unit_resolution,[status(thm)],[247, 246])).
% 30.88/21.69 tff(249,assumption,(~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))), introduced(assumption)).
% 30.88/21.69 tff(250,assumption,(r1(Y!20, tptp_fun_X_5(Y!20))), introduced(assumption)).
% 30.88/21.69 tff(251,plain,
% 30.88/21.69 (((~![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | ((~r1(Y!20, tptp_fun_X_5(Y!20))) | (~(p1(tptp_fun_Y_2(tptp_fun_X_5(Y!20))) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_2(tptp_fun_X_5(Y!20)))))) | ![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) <=> ((~![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(Y!20, tptp_fun_X_5(Y!20))) | (~(p1(tptp_fun_Y_2(tptp_fun_X_5(Y!20))) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_2(tptp_fun_X_5(Y!20)))))) | ![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))),
% 30.88/21.69 inference(rewrite,[status(thm)],[])).
% 30.88/21.69 tff(252,plain,
% 30.88/21.69 ((~![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | ((~r1(Y!20, tptp_fun_X_5(Y!20))) | (~(p1(tptp_fun_Y_2(tptp_fun_X_5(Y!20))) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_2(tptp_fun_X_5(Y!20)))))) | ![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))),
% 30.88/21.69 inference(quant_inst,[status(thm)],[])).
% 30.88/21.69 tff(253,plain,
% 30.88/21.69 ((~![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(Y!20, tptp_fun_X_5(Y!20))) | (~(p1(tptp_fun_Y_2(tptp_fun_X_5(Y!20))) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_2(tptp_fun_X_5(Y!20)))))) | ![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))),
% 30.88/21.69 inference(modus_ponens,[status(thm)],[252, 251])).
% 30.88/21.69 tff(254,plain,
% 30.88/21.69 (~(p1(tptp_fun_Y_2(tptp_fun_X_5(Y!20))) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_2(tptp_fun_X_5(Y!20)))))),
% 30.88/21.69 inference(unit_resolution,[status(thm)],[253, 250, 249, 248])).
% 30.88/21.69 tff(255,plain,
% 30.88/21.69 ((p1(tptp_fun_Y_2(tptp_fun_X_5(Y!20))) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_2(tptp_fun_X_5(Y!20))))) | (~p1(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))),
% 30.88/21.69 inference(tautology,[status(thm)],[])).
% 30.88/21.69 tff(256,plain,
% 30.88/21.69 (~p1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)))),
% 30.88/21.69 inference(unit_resolution,[status(thm)],[255, 254])).
% 30.88/21.69 tff(257,assumption,(![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))), introduced(assumption)).
% 30.88/21.69 tff(258,plain,
% 30.88/21.69 ((p1(tptp_fun_Y_2(tptp_fun_X_5(Y!20))) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_2(tptp_fun_X_5(Y!20))))) | r1(tptp_fun_X_5(Y!20), tptp_fun_Y_2(tptp_fun_X_5(Y!20)))),
% 30.88/21.69 inference(tautology,[status(thm)],[])).
% 30.88/21.69 tff(259,plain,
% 30.88/21.69 (r1(tptp_fun_X_5(Y!20), tptp_fun_Y_2(tptp_fun_X_5(Y!20)))),
% 30.88/21.69 inference(unit_resolution,[status(thm)],[258, 254])).
% 30.88/21.69 tff(260,assumption,(~p1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)))), introduced(assumption)).
% 30.88/21.69 tff(261,plain,
% 30.88/21.69 (((~p1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)))) | p1(tptp_fun_X_1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)))) | (~r1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)), tptp_fun_X_1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)))))) | p1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)))),
% 30.88/21.69 inference(tautology,[status(thm)],[])).
% 30.88/21.69 tff(262,plain,
% 30.88/21.69 ((~p1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)))) | p1(tptp_fun_X_1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)))) | (~r1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)), tptp_fun_X_1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)))))),
% 30.88/21.69 inference(unit_resolution,[status(thm)],[261, 260])).
% 30.88/21.69 tff(263,assumption,(r1(tptp_fun_X_5(Y!20), tptp_fun_Y_2(tptp_fun_X_5(Y!20)))), introduced(assumption)).
% 30.88/21.69 tff(264,plain,
% 30.88/21.69 (((~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | ((~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_2(tptp_fun_X_5(Y!20)))) | (~((~p1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)))) | p1(tptp_fun_X_1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)))) | (~r1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)), tptp_fun_X_1(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))))) | ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)), X))))) <=> ((~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_2(tptp_fun_X_5(Y!20)))) | (~((~p1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)))) | p1(tptp_fun_X_1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)))) | (~r1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)), tptp_fun_X_1(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))))) | ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)), X))))),
% 30.88/21.69 inference(rewrite,[status(thm)],[])).
% 30.88/21.69 tff(265,plain,
% 30.88/21.69 (((~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_2(tptp_fun_X_5(Y!20)))) | (~((~p1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)))) | p1(tptp_fun_X_1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)))) | (~r1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)), tptp_fun_X_1(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))))) | ![X: $i] : ((~r1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) <=> ((~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_2(tptp_fun_X_5(Y!20)))) | (~((~p1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)))) | p1(tptp_fun_X_1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)))) | (~r1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)), tptp_fun_X_1(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))))) | ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)), X))))),
% 30.88/21.69 inference(rewrite,[status(thm)],[])).
% 30.88/21.69 tff(266,plain,
% 30.88/21.69 (((~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | ((~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_2(tptp_fun_X_5(Y!20)))) | (~((~p1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)))) | p1(tptp_fun_X_1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)))) | (~r1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)), tptp_fun_X_1(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))))) | ![X: $i] : ((~r1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) <=> ((~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | ((~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_2(tptp_fun_X_5(Y!20)))) | (~((~p1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)))) | p1(tptp_fun_X_1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)))) | (~r1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)), tptp_fun_X_1(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))))) | ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)), X)))))),
% 30.88/21.69 inference(monotonicity,[status(thm)],[265])).
% 30.88/21.69 tff(267,plain,
% 30.88/21.69 (((~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | ((~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_2(tptp_fun_X_5(Y!20)))) | (~((~p1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)))) | p1(tptp_fun_X_1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)))) | (~r1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)), tptp_fun_X_1(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))))) | ![X: $i] : ((~r1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) <=> ((~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_2(tptp_fun_X_5(Y!20)))) | (~((~p1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)))) | p1(tptp_fun_X_1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)))) | (~r1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)), tptp_fun_X_1(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))))) | ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)), X))))),
% 30.88/21.69 inference(transitivity,[status(thm)],[266, 264])).
% 30.88/21.69 tff(268,plain,
% 30.88/21.69 ((~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | ((~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_2(tptp_fun_X_5(Y!20)))) | (~((~p1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)))) | p1(tptp_fun_X_1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)))) | (~r1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)), tptp_fun_X_1(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))))) | ![X: $i] : ((~r1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))),
% 30.88/21.69 inference(quant_inst,[status(thm)],[])).
% 30.88/21.69 tff(269,plain,
% 30.88/21.69 ((~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_2(tptp_fun_X_5(Y!20)))) | (~((~p1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)))) | p1(tptp_fun_X_1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)))) | (~r1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)), tptp_fun_X_1(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))))) | ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)), X)))),
% 30.88/21.69 inference(modus_ponens,[status(thm)],[268, 267])).
% 30.88/21.69 tff(270,plain,
% 30.88/21.69 (![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)), X)))),
% 30.88/21.69 inference(unit_resolution,[status(thm)],[269, 257, 263, 262])).
% 30.88/21.69 tff(271,assumption,(~((~r1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)), tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))) | (~p1(tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))) | p1(tptp_fun_Y_9(tptp_fun_Y_2(tptp_fun_X_5(Y!20)))) | (~r1(tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))), tptp_fun_Y_9(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))))), introduced(assumption)).
% 30.88/21.69 tff(272,plain,
% 30.88/21.69 (((~r1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)), tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))) | (~p1(tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))) | p1(tptp_fun_Y_9(tptp_fun_Y_2(tptp_fun_X_5(Y!20)))) | (~r1(tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))), tptp_fun_Y_9(tptp_fun_Y_2(tptp_fun_X_5(Y!20)))))) | p1(tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))),
% 30.88/21.69 inference(tautology,[status(thm)],[])).
% 30.88/21.69 tff(273,plain,
% 30.88/21.69 (p1(tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))),
% 30.88/21.69 inference(unit_resolution,[status(thm)],[272, 271])).
% 30.88/21.69 tff(274,plain,
% 30.88/21.69 (((~r1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)), tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))) | (~p1(tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))) | p1(tptp_fun_Y_9(tptp_fun_Y_2(tptp_fun_X_5(Y!20)))) | (~r1(tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))), tptp_fun_Y_9(tptp_fun_Y_2(tptp_fun_X_5(Y!20)))))) | r1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)), tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))),
% 30.88/21.69 inference(tautology,[status(thm)],[])).
% 30.88/21.69 tff(275,plain,
% 30.88/21.69 (r1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)), tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))),
% 30.88/21.69 inference(unit_resolution,[status(thm)],[274, 271])).
% 30.88/21.69 tff(276,assumption,(~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))), Y)))), introduced(assumption)).
% 30.88/21.69 tff(277,assumption,(![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)), X)))), introduced(assumption)).
% 30.88/21.69 tff(278,assumption,(p1(tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))), introduced(assumption)).
% 30.88/21.69 tff(279,assumption,(r1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)), tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))), introduced(assumption)).
% 30.88/21.69 tff(280,plain,
% 30.88/21.69 (((~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)), X)))) | ((~r1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)), tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))) | (~p1(tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))), Y))))) <=> ((~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)), X)))) | (~r1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)), tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))) | (~p1(tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))), Y))))),
% 30.88/21.69 inference(rewrite,[status(thm)],[])).
% 30.88/21.69 tff(281,plain,
% 30.88/21.69 (((~p1(tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))), Y))) | (~r1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)), tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20)))))) <=> ((~r1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)), tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))) | (~p1(tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))), Y))))),
% 30.88/21.69 inference(rewrite,[status(thm)],[])).
% 30.88/21.69 tff(282,plain,
% 30.88/21.69 (((~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)), X)))) | ((~p1(tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))), Y))) | (~r1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)), tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))))) <=> ((~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)), X)))) | ((~r1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)), tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))) | (~p1(tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))), Y)))))),
% 30.88/21.69 inference(monotonicity,[status(thm)],[281])).
% 30.88/21.69 tff(283,plain,
% 30.88/21.69 (((~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)), X)))) | ((~p1(tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))), Y))) | (~r1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)), tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))))) <=> ((~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)), X)))) | (~r1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)), tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))) | (~p1(tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))), Y))))),
% 30.88/21.69 inference(transitivity,[status(thm)],[282, 280])).
% 30.88/21.69 tff(284,plain,
% 30.88/21.69 ((~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)), X)))) | ((~p1(tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))), Y))) | (~r1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)), tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))))),
% 30.88/21.69 inference(quant_inst,[status(thm)],[])).
% 30.88/21.69 tff(285,plain,
% 30.88/21.69 ((~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)), X)))) | (~r1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)), tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))) | (~p1(tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))), Y)))),
% 30.88/21.69 inference(modus_ponens,[status(thm)],[284, 283])).
% 30.88/21.69 tff(286,plain,
% 30.88/21.69 ($false),
% 30.88/21.69 inference(unit_resolution,[status(thm)],[285, 279, 278, 277, 276])).
% 30.88/21.69 tff(287,plain,(![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))), Y))) | (~r1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)), tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))) | (~p1(tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)), X))))), inference(lemma,lemma(discharge,[]))).
% 30.88/21.69 tff(288,plain,
% 30.88/21.69 (![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))), Y)))),
% 30.88/21.69 inference(unit_resolution,[status(thm)],[287, 275, 273, 270])).
% 30.88/21.69 tff(289,plain,
% 30.88/21.69 (((~r1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)), tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))) | (~p1(tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))) | p1(tptp_fun_Y_9(tptp_fun_Y_2(tptp_fun_X_5(Y!20)))) | (~r1(tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))), tptp_fun_Y_9(tptp_fun_Y_2(tptp_fun_X_5(Y!20)))))) | r1(tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))), tptp_fun_Y_9(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))),
% 30.88/21.69 inference(tautology,[status(thm)],[])).
% 30.88/21.69 tff(290,plain,
% 30.88/21.69 (r1(tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))), tptp_fun_Y_9(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))),
% 30.88/21.69 inference(unit_resolution,[status(thm)],[289, 271])).
% 30.88/21.69 tff(291,plain,
% 30.88/21.69 (((~r1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)), tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))) | (~p1(tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))) | p1(tptp_fun_Y_9(tptp_fun_Y_2(tptp_fun_X_5(Y!20)))) | (~r1(tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))), tptp_fun_Y_9(tptp_fun_Y_2(tptp_fun_X_5(Y!20)))))) | (~p1(tptp_fun_Y_9(tptp_fun_Y_2(tptp_fun_X_5(Y!20)))))),
% 30.88/21.69 inference(tautology,[status(thm)],[])).
% 30.88/21.69 tff(292,plain,
% 30.88/21.69 (~p1(tptp_fun_Y_9(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))),
% 30.88/21.69 inference(unit_resolution,[status(thm)],[291, 271])).
% 30.88/21.69 tff(293,plain,
% 30.88/21.69 (((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))), Y)))) | (p1(tptp_fun_Y_9(tptp_fun_Y_2(tptp_fun_X_5(Y!20)))) | (~r1(tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))), tptp_fun_Y_9(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))))) <=> ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))), Y)))) | p1(tptp_fun_Y_9(tptp_fun_Y_2(tptp_fun_X_5(Y!20)))) | (~r1(tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))), tptp_fun_Y_9(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))))),
% 30.88/21.69 inference(rewrite,[status(thm)],[])).
% 30.88/21.69 tff(294,plain,
% 30.88/21.69 ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))), Y)))) | (p1(tptp_fun_Y_9(tptp_fun_Y_2(tptp_fun_X_5(Y!20)))) | (~r1(tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))), tptp_fun_Y_9(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))))),
% 30.88/21.69 inference(quant_inst,[status(thm)],[])).
% 30.88/21.69 tff(295,plain,
% 30.88/21.69 ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))), Y)))) | p1(tptp_fun_Y_9(tptp_fun_Y_2(tptp_fun_X_5(Y!20)))) | (~r1(tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))), tptp_fun_Y_9(tptp_fun_Y_2(tptp_fun_X_5(Y!20)))))),
% 30.88/21.69 inference(modus_ponens,[status(thm)],[294, 293])).
% 30.88/21.69 tff(296,plain,
% 30.88/21.69 ($false),
% 30.88/21.69 inference(unit_resolution,[status(thm)],[295, 292, 290, 288])).
% 30.88/21.69 tff(297,plain,(((~r1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)), tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))) | (~p1(tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))) | p1(tptp_fun_Y_9(tptp_fun_Y_2(tptp_fun_X_5(Y!20)))) | (~r1(tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))), tptp_fun_Y_9(tptp_fun_Y_2(tptp_fun_X_5(Y!20)))))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_2(tptp_fun_X_5(Y!20)))) | p1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)))), inference(lemma,lemma(discharge,[]))).
% 30.88/21.69 tff(298,plain,
% 30.88/21.69 ((~r1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)), tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))) | (~p1(tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))) | p1(tptp_fun_Y_9(tptp_fun_Y_2(tptp_fun_X_5(Y!20)))) | (~r1(tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))), tptp_fun_Y_9(tptp_fun_Y_2(tptp_fun_X_5(Y!20)))))),
% 30.88/21.69 inference(unit_resolution,[status(thm)],[297, 259, 257, 256])).
% 30.88/21.69 tff(299,assumption,(![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(Y!20), Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))), introduced(assumption)).
% 30.88/21.69 tff(300,plain,
% 30.88/21.69 (((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(Y!20), Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))) | (p1(tptp_fun_Y_2(tptp_fun_X_5(Y!20))) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_2(tptp_fun_X_5(Y!20)))) | (~((~r1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)), tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))) | (~p1(tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))) | p1(tptp_fun_Y_9(tptp_fun_Y_2(tptp_fun_X_5(Y!20)))) | (~r1(tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))), tptp_fun_Y_9(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))))))) <=> ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(Y!20), Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))) | p1(tptp_fun_Y_2(tptp_fun_X_5(Y!20))) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_2(tptp_fun_X_5(Y!20)))) | (~((~r1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)), tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))) | (~p1(tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))) | p1(tptp_fun_Y_9(tptp_fun_Y_2(tptp_fun_X_5(Y!20)))) | (~r1(tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))), tptp_fun_Y_9(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))))))),
% 30.88/21.69 inference(rewrite,[status(thm)],[])).
% 30.88/21.69 tff(301,plain,
% 30.88/21.69 ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(Y!20), Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))) | (p1(tptp_fun_Y_2(tptp_fun_X_5(Y!20))) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_2(tptp_fun_X_5(Y!20)))) | (~((~r1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)), tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))) | (~p1(tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))) | p1(tptp_fun_Y_9(tptp_fun_Y_2(tptp_fun_X_5(Y!20)))) | (~r1(tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))), tptp_fun_Y_9(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))))))),
% 30.88/21.69 inference(quant_inst,[status(thm)],[])).
% 30.88/21.69 tff(302,plain,
% 30.88/21.69 ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(Y!20), Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))) | p1(tptp_fun_Y_2(tptp_fun_X_5(Y!20))) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_2(tptp_fun_X_5(Y!20)))) | (~((~r1(tptp_fun_Y_2(tptp_fun_X_5(Y!20)), tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))) | (~p1(tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))))) | p1(tptp_fun_Y_9(tptp_fun_Y_2(tptp_fun_X_5(Y!20)))) | (~r1(tptp_fun_X_8(tptp_fun_Y_2(tptp_fun_X_5(Y!20))), tptp_fun_Y_9(tptp_fun_Y_2(tptp_fun_X_5(Y!20)))))))),
% 30.88/21.69 inference(modus_ponens,[status(thm)],[301, 300])).
% 30.88/21.69 tff(303,plain,
% 30.88/21.69 ($false),
% 30.88/21.69 inference(unit_resolution,[status(thm)],[302, 299, 256, 259, 298])).
% 30.88/21.69 tff(304,plain,((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(Y!20), Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~r1(Y!20, tptp_fun_X_5(Y!20))) | ![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))), inference(lemma,lemma(discharge,[]))).
% 30.88/21.69 tff(305,plain,
% 30.88/21.69 (~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(Y!20), Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))),
% 30.88/21.69 inference(unit_resolution,[status(thm)],[304, 184, 182, 180])).
% 30.88/21.69 tff(306,plain,
% 30.88/21.69 (((~(p1(Y!20) | ![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(![X: $i] : ((~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~p1(Y!20)) | ![X: $i] : (p1(X) | (~r1(Y!20, X))) | (~((~r1(Y!20, tptp_fun_X_5(Y!20))) | (~p1(tptp_fun_X_5(Y!20))) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | p1(tptp_fun_Y_6(Y!20)))))) | (~![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ((~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))),
% 30.88/21.69 inference(tautology,[status(thm)],[])).
% 30.88/21.69 tff(307,plain,
% 30.88/21.69 ((~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y)))))))),
% 30.88/21.69 inference(unit_resolution,[status(thm)],[306, 246])).
% 30.88/21.69 tff(308,assumption,(~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))), introduced(assumption)).
% 30.88/21.69 tff(309,plain,
% 30.88/21.69 ((p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | ![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))),
% 30.88/21.69 inference(tautology,[status(thm)],[])).
% 30.88/21.69 tff(310,plain,
% 30.88/21.69 (![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))),
% 30.88/21.69 inference(unit_resolution,[status(thm)],[309, 308])).
% 30.88/21.69 tff(311,assumption,(~((~r1(tptp_fun_X_7(Y!20), tptp_fun_Y_3(tptp_fun_X_7(Y!20)))) | (~p1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)))) | p1(tptp_fun_X_4(tptp_fun_X_7(Y!20))) | (~r1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)), tptp_fun_X_4(tptp_fun_X_7(Y!20)))))), introduced(assumption)).
% 30.88/21.69 tff(312,plain,
% 30.88/21.69 (((~r1(tptp_fun_X_7(Y!20), tptp_fun_Y_3(tptp_fun_X_7(Y!20)))) | (~p1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)))) | p1(tptp_fun_X_4(tptp_fun_X_7(Y!20))) | (~r1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)), tptp_fun_X_4(tptp_fun_X_7(Y!20))))) | r1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)), tptp_fun_X_4(tptp_fun_X_7(Y!20)))),
% 30.88/21.69 inference(tautology,[status(thm)],[])).
% 30.88/21.69 tff(313,plain,
% 30.88/21.69 (r1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)), tptp_fun_X_4(tptp_fun_X_7(Y!20)))),
% 30.88/21.69 inference(unit_resolution,[status(thm)],[312, 311])).
% 30.88/21.69 tff(314,plain,
% 30.88/21.69 (((~r1(tptp_fun_X_7(Y!20), tptp_fun_Y_3(tptp_fun_X_7(Y!20)))) | (~p1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)))) | p1(tptp_fun_X_4(tptp_fun_X_7(Y!20))) | (~r1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)), tptp_fun_X_4(tptp_fun_X_7(Y!20))))) | (~p1(tptp_fun_X_4(tptp_fun_X_7(Y!20))))),
% 30.88/21.69 inference(tautology,[status(thm)],[])).
% 30.88/21.69 tff(315,plain,
% 30.88/21.69 (~p1(tptp_fun_X_4(tptp_fun_X_7(Y!20)))),
% 30.88/21.69 inference(unit_resolution,[status(thm)],[314, 311])).
% 30.88/21.69 tff(316,assumption,(![X: $i] : (p1(X) | (~r1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)), X)))), introduced(assumption)).
% 30.88/21.69 tff(317,assumption,(r1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)), tptp_fun_X_4(tptp_fun_X_7(Y!20)))), introduced(assumption)).
% 30.88/21.69 tff(318,assumption,(~p1(tptp_fun_X_4(tptp_fun_X_7(Y!20)))), introduced(assumption)).
% 30.88/21.69 tff(319,plain,
% 30.88/21.69 (((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)), X)))) | (p1(tptp_fun_X_4(tptp_fun_X_7(Y!20))) | (~r1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)), tptp_fun_X_4(tptp_fun_X_7(Y!20)))))) <=> ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)), X)))) | p1(tptp_fun_X_4(tptp_fun_X_7(Y!20))) | (~r1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)), tptp_fun_X_4(tptp_fun_X_7(Y!20)))))),
% 30.88/21.69 inference(rewrite,[status(thm)],[])).
% 30.88/21.69 tff(320,plain,
% 30.88/21.69 ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)), X)))) | (p1(tptp_fun_X_4(tptp_fun_X_7(Y!20))) | (~r1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)), tptp_fun_X_4(tptp_fun_X_7(Y!20)))))),
% 30.88/21.69 inference(quant_inst,[status(thm)],[])).
% 30.88/21.69 tff(321,plain,
% 30.88/21.69 ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)), X)))) | p1(tptp_fun_X_4(tptp_fun_X_7(Y!20))) | (~r1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)), tptp_fun_X_4(tptp_fun_X_7(Y!20))))),
% 30.88/21.69 inference(modus_ponens,[status(thm)],[320, 319])).
% 30.88/21.69 tff(322,plain,
% 30.88/21.69 ($false),
% 30.88/21.69 inference(unit_resolution,[status(thm)],[321, 318, 317, 316])).
% 30.88/21.69 tff(323,plain,((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)), X)))) | p1(tptp_fun_X_4(tptp_fun_X_7(Y!20))) | (~r1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)), tptp_fun_X_4(tptp_fun_X_7(Y!20))))), inference(lemma,lemma(discharge,[]))).
% 30.88/21.69 tff(324,plain,
% 30.88/21.69 (~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)), X)))),
% 30.88/21.69 inference(unit_resolution,[status(thm)],[323, 315, 313])).
% 30.88/21.69 tff(325,plain,
% 30.88/21.69 (((~r1(tptp_fun_X_7(Y!20), tptp_fun_Y_3(tptp_fun_X_7(Y!20)))) | (~p1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)))) | p1(tptp_fun_X_4(tptp_fun_X_7(Y!20))) | (~r1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)), tptp_fun_X_4(tptp_fun_X_7(Y!20))))) | p1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)))),
% 30.88/21.69 inference(tautology,[status(thm)],[])).
% 30.88/21.69 tff(326,plain,
% 30.88/21.69 (p1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)))),
% 30.88/21.69 inference(unit_resolution,[status(thm)],[325, 311])).
% 30.88/21.69 tff(327,plain,
% 30.88/21.69 (((~r1(tptp_fun_X_7(Y!20), tptp_fun_Y_3(tptp_fun_X_7(Y!20)))) | (~p1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)))) | p1(tptp_fun_X_4(tptp_fun_X_7(Y!20))) | (~r1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)), tptp_fun_X_4(tptp_fun_X_7(Y!20))))) | r1(tptp_fun_X_7(Y!20), tptp_fun_Y_3(tptp_fun_X_7(Y!20)))),
% 30.88/21.69 inference(tautology,[status(thm)],[])).
% 30.88/21.69 tff(328,plain,
% 30.88/21.69 (r1(tptp_fun_X_7(Y!20), tptp_fun_Y_3(tptp_fun_X_7(Y!20)))),
% 30.88/21.69 inference(unit_resolution,[status(thm)],[327, 311])).
% 30.88/21.69 tff(329,assumption,(![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))), introduced(assumption)).
% 30.88/21.69 tff(330,plain,
% 30.88/21.69 (((~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ((~p1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)))) | (~r1(tptp_fun_X_7(Y!20), tptp_fun_Y_3(tptp_fun_X_7(Y!20)))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)), X))))) <=> ((~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | (~p1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)))) | (~r1(tptp_fun_X_7(Y!20), tptp_fun_Y_3(tptp_fun_X_7(Y!20)))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)), X))))),
% 30.88/21.69 inference(rewrite,[status(thm)],[])).
% 30.88/21.69 tff(331,plain,
% 30.88/21.69 ((~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ((~p1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)))) | (~r1(tptp_fun_X_7(Y!20), tptp_fun_Y_3(tptp_fun_X_7(Y!20)))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)), X))))),
% 30.88/21.69 inference(quant_inst,[status(thm)],[])).
% 30.88/21.69 tff(332,plain,
% 30.88/21.69 ((~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | (~p1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)))) | (~r1(tptp_fun_X_7(Y!20), tptp_fun_Y_3(tptp_fun_X_7(Y!20)))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)), X)))),
% 30.88/21.69 inference(modus_ponens,[status(thm)],[331, 330])).
% 30.88/21.69 tff(333,plain,
% 30.88/21.69 ($false),
% 30.88/21.69 inference(unit_resolution,[status(thm)],[332, 329, 328, 326, 324])).
% 30.88/21.69 tff(334,plain,(((~r1(tptp_fun_X_7(Y!20), tptp_fun_Y_3(tptp_fun_X_7(Y!20)))) | (~p1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)))) | p1(tptp_fun_X_4(tptp_fun_X_7(Y!20))) | (~r1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)), tptp_fun_X_4(tptp_fun_X_7(Y!20))))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))), inference(lemma,lemma(discharge,[]))).
% 30.88/21.69 tff(335,plain,
% 30.88/21.69 ((~r1(tptp_fun_X_7(Y!20), tptp_fun_Y_3(tptp_fun_X_7(Y!20)))) | (~p1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)))) | p1(tptp_fun_X_4(tptp_fun_X_7(Y!20))) | (~r1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)), tptp_fun_X_4(tptp_fun_X_7(Y!20))))),
% 30.88/21.69 inference(unit_resolution,[status(thm)],[334, 310])).
% 30.88/21.69 tff(336,plain,
% 30.88/21.69 ((p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | r1(Y!20, tptp_fun_X_7(Y!20))),
% 30.88/21.69 inference(tautology,[status(thm)],[])).
% 30.88/21.69 tff(337,plain,
% 30.88/21.69 (r1(Y!20, tptp_fun_X_7(Y!20))),
% 30.88/21.69 inference(unit_resolution,[status(thm)],[336, 308])).
% 30.88/21.69 tff(338,plain,
% 30.88/21.69 ((p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~p1(tptp_fun_X_7(Y!20)))),
% 30.88/21.69 inference(tautology,[status(thm)],[])).
% 30.88/21.69 tff(339,plain,
% 30.88/21.69 (~p1(tptp_fun_X_7(Y!20))),
% 30.88/21.69 inference(unit_resolution,[status(thm)],[338, 308])).
% 30.88/21.69 tff(340,plain,
% 30.88/21.69 (^[X: $i] : refl((p1(X) | (~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) <=> (p1(X) | (~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))))),
% 30.88/21.69 inference(bind,[status(th)],[])).
% 30.88/21.69 tff(341,plain,
% 30.88/21.69 (![X: $i] : (p1(X) | (~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) <=> ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))),
% 30.88/21.69 inference(quant_intro,[status(thm)],[340])).
% 30.88/21.69 tff(342,plain,
% 30.88/21.69 (^[X: $i] : rewrite((p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X)))) <=> (p1(X) | (~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))))),
% 30.88/21.69 inference(bind,[status(th)],[])).
% 30.88/21.69 tff(343,plain,
% 30.88/21.69 (![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X)))) <=> ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))),
% 30.88/21.69 inference(quant_intro,[status(thm)],[342])).
% 30.88/21.69 tff(344,plain,
% 30.88/21.69 (![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))) & p1(tptp_fun_Y_3(X))))),
% 30.88/21.69 inference(and_elim,[status(thm)],[65])).
% 30.88/21.69 tff(345,plain,
% 30.88/21.69 (![X: $i] : (p1(X) | (~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))),
% 30.88/21.69 inference(modus_ponens,[status(thm)],[344, 343])).
% 30.88/21.69 tff(346,plain,
% 30.88/21.69 (![X: $i] : (p1(X) | (~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))),
% 30.88/21.69 inference(modus_ponens,[status(thm)],[345, 341])).
% 30.88/21.69 tff(347,plain,
% 30.88/21.69 (((~![X: $i] : (p1(X) | (~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))) | (p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~((~r1(tptp_fun_X_7(Y!20), tptp_fun_Y_3(tptp_fun_X_7(Y!20)))) | (~p1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)))) | p1(tptp_fun_X_4(tptp_fun_X_7(Y!20))) | (~r1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)), tptp_fun_X_4(tptp_fun_X_7(Y!20)))))))) <=> ((~![X: $i] : (p1(X) | (~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))) | p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~((~r1(tptp_fun_X_7(Y!20), tptp_fun_Y_3(tptp_fun_X_7(Y!20)))) | (~p1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)))) | p1(tptp_fun_X_4(tptp_fun_X_7(Y!20))) | (~r1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)), tptp_fun_X_4(tptp_fun_X_7(Y!20)))))))),
% 30.88/21.69 inference(rewrite,[status(thm)],[])).
% 30.88/21.69 tff(348,plain,
% 30.88/21.69 ((~![X: $i] : (p1(X) | (~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))) | (p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~((~r1(tptp_fun_X_7(Y!20), tptp_fun_Y_3(tptp_fun_X_7(Y!20)))) | (~p1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)))) | p1(tptp_fun_X_4(tptp_fun_X_7(Y!20))) | (~r1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)), tptp_fun_X_4(tptp_fun_X_7(Y!20)))))))),
% 30.88/21.70 inference(quant_inst,[status(thm)],[])).
% 30.88/21.70 tff(349,plain,
% 30.88/21.70 ((~![X: $i] : (p1(X) | (~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))) | p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~((~r1(tptp_fun_X_7(Y!20), tptp_fun_Y_3(tptp_fun_X_7(Y!20)))) | (~p1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)))) | p1(tptp_fun_X_4(tptp_fun_X_7(Y!20))) | (~r1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)), tptp_fun_X_4(tptp_fun_X_7(Y!20))))))),
% 30.88/21.70 inference(modus_ponens,[status(thm)],[348, 347])).
% 30.88/21.70 tff(350,plain,
% 30.88/21.70 ($false),
% 30.88/21.70 inference(unit_resolution,[status(thm)],[349, 346, 339, 337, 335])).
% 30.88/21.70 tff(351,plain,(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))), inference(lemma,lemma(discharge,[]))).
% 30.88/21.70 tff(352,plain,
% 30.88/21.70 ((~((~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y)))))))),
% 30.88/21.70 inference(tautology,[status(thm)],[])).
% 30.88/21.70 tff(353,plain,
% 30.88/21.70 ((~((~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | ![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y)))))))),
% 30.88/21.70 inference(unit_resolution,[status(thm)],[352, 351])).
% 30.88/21.70 tff(354,plain,
% 30.88/21.70 (![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y)))))))),
% 30.88/21.70 inference(unit_resolution,[status(thm)],[353, 307])).
% 30.88/21.70 tff(355,plain,
% 30.88/21.70 (((~![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y)))))))) | ((~r1(Y!20, tptp_fun_X_5(Y!20))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(Y!20), Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y)))))))) <=> ((~![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y)))))))) | (~r1(Y!20, tptp_fun_X_5(Y!20))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(Y!20), Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y)))))))),
% 30.88/21.70 inference(rewrite,[status(thm)],[])).
% 30.88/21.70 tff(356,plain,
% 30.88/21.70 ((~![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y)))))))) | ((~r1(Y!20, tptp_fun_X_5(Y!20))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(Y!20), Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y)))))))),
% 30.88/21.70 inference(quant_inst,[status(thm)],[])).
% 30.88/21.70 tff(357,plain,
% 30.88/21.70 ((~![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y)))))))) | (~r1(Y!20, tptp_fun_X_5(Y!20))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(Y!20), Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))),
% 30.88/21.70 inference(modus_ponens,[status(thm)],[356, 355])).
% 30.88/21.70 tff(358,plain,
% 30.88/21.70 ($false),
% 30.88/21.70 inference(unit_resolution,[status(thm)],[357, 182, 354, 305])).
% 30.88/21.70 tff(359,plain,((~r1(Y!20, tptp_fun_X_5(Y!20))) | (~p1(tptp_fun_X_5(Y!20))) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | p1(tptp_fun_Y_6(Y!20))), inference(lemma,lemma(discharge,[]))).
% 30.88/21.70 tff(360,plain,
% 30.88/21.70 (((~(p1(Y!20) | ![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(![X: $i] : ((~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~p1(Y!20)) | ![X: $i] : (p1(X) | (~r1(Y!20, X))) | (~((~r1(Y!20, tptp_fun_X_5(Y!20))) | (~p1(tptp_fun_X_5(Y!20))) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | p1(tptp_fun_Y_6(Y!20)))))) | (~![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | (![X: $i] : ((~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~p1(Y!20)) | ![X: $i] : (p1(X) | (~r1(Y!20, X))) | (~((~r1(Y!20, tptp_fun_X_5(Y!20))) | (~p1(tptp_fun_X_5(Y!20))) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | p1(tptp_fun_Y_6(Y!20)))))),
% 30.88/21.70 inference(tautology,[status(thm)],[])).
% 30.88/21.70 tff(361,plain,
% 30.88/21.70 (![X: $i] : ((~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~p1(Y!20)) | ![X: $i] : (p1(X) | (~r1(Y!20, X))) | (~((~r1(Y!20, tptp_fun_X_5(Y!20))) | (~p1(tptp_fun_X_5(Y!20))) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | p1(tptp_fun_Y_6(Y!20))))),
% 30.88/21.70 inference(unit_resolution,[status(thm)],[360, 246])).
% 30.88/21.70 tff(362,plain,
% 30.88/21.70 (((~(p1(Y!20) | ![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | (~p1(tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(![X: $i] : ((~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~p1(Y!20)) | ![X: $i] : (p1(X) | (~r1(Y!20, X))) | (~((~r1(Y!20, tptp_fun_X_5(Y!20))) | (~p1(tptp_fun_X_5(Y!20))) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | p1(tptp_fun_Y_6(Y!20)))))) | (~![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | (p1(Y!20) | ![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))),
% 30.88/21.70 inference(tautology,[status(thm)],[])).
% 30.88/21.70 tff(363,plain,
% 30.88/21.70 (p1(Y!20) | ![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))),
% 30.88/21.70 inference(unit_resolution,[status(thm)],[362, 246])).
% 30.88/21.70 tff(364,assumption,(![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))), introduced(assumption)).
% 30.88/21.70 tff(365,plain,
% 30.88/21.70 (((~![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | ((~r1(Y!20, X!22)) | (~(p1(tptp_fun_Y_2(X!22)) | (~r1(X!22, tptp_fun_Y_2(X!22))))))) <=> ((~![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~r1(Y!20, X!22)) | (~(p1(tptp_fun_Y_2(X!22)) | (~r1(X!22, tptp_fun_Y_2(X!22))))))),
% 30.88/21.70 inference(rewrite,[status(thm)],[])).
% 30.88/21.70 tff(366,plain,
% 30.88/21.70 ((~![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | ((~r1(Y!20, X!22)) | (~(p1(tptp_fun_Y_2(X!22)) | (~r1(X!22, tptp_fun_Y_2(X!22))))))),
% 30.88/21.70 inference(quant_inst,[status(thm)],[])).
% 30.88/21.70 tff(367,plain,
% 30.88/21.70 ((~![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~r1(Y!20, X!22)) | (~(p1(tptp_fun_Y_2(X!22)) | (~r1(X!22, tptp_fun_Y_2(X!22)))))),
% 30.88/21.70 inference(modus_ponens,[status(thm)],[366, 365])).
% 30.88/21.70 tff(368,plain,
% 30.88/21.70 ($false),
% 30.88/21.70 inference(unit_resolution,[status(thm)],[367, 142, 141, 364])).
% 30.88/21.70 tff(369,plain,(~![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))), inference(lemma,lemma(discharge,[]))).
% 30.88/21.70 tff(370,plain,
% 30.88/21.70 ((~(p1(Y!20) | ![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | p1(Y!20) | ![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))),
% 30.88/21.70 inference(tautology,[status(thm)],[])).
% 30.88/21.70 tff(371,plain,
% 30.88/21.70 ((~(p1(Y!20) | ![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | p1(Y!20)),
% 30.88/21.70 inference(unit_resolution,[status(thm)],[370, 369, 351])).
% 30.88/21.70 tff(372,plain,
% 30.88/21.70 (p1(Y!20)),
% 30.88/21.70 inference(unit_resolution,[status(thm)],[371, 363])).
% 30.88/21.70 tff(373,assumption,(![X: $i] : (p1(X) | (~r1(Y!20, X)))), introduced(assumption)).
% 30.88/21.70 tff(374,plain,
% 30.88/21.70 (~(p1(X!21) | (~r1(Y!20, X!21)))),
% 30.88/21.70 inference(and_elim,[status(thm)],[65])).
% 30.88/21.70 tff(375,plain,
% 30.88/21.70 (r1(Y!20, X!21)),
% 30.88/21.70 inference(or_elim,[status(thm)],[374])).
% 30.88/21.70 tff(376,plain,
% 30.88/21.70 (~p1(X!21)),
% 30.88/21.70 inference(or_elim,[status(thm)],[374])).
% 30.88/21.70 tff(377,plain,
% 30.88/21.70 (((~![X: $i] : (p1(X) | (~r1(Y!20, X)))) | (p1(X!21) | (~r1(Y!20, X!21)))) <=> ((~![X: $i] : (p1(X) | (~r1(Y!20, X)))) | p1(X!21) | (~r1(Y!20, X!21)))),
% 30.88/21.70 inference(rewrite,[status(thm)],[])).
% 30.88/21.70 tff(378,plain,
% 30.88/21.70 ((~![X: $i] : (p1(X) | (~r1(Y!20, X)))) | (p1(X!21) | (~r1(Y!20, X!21)))),
% 30.88/21.70 inference(quant_inst,[status(thm)],[])).
% 30.88/21.70 tff(379,plain,
% 30.88/21.70 ((~![X: $i] : (p1(X) | (~r1(Y!20, X)))) | p1(X!21) | (~r1(Y!20, X!21))),
% 30.88/21.70 inference(modus_ponens,[status(thm)],[378, 377])).
% 30.88/21.70 tff(380,plain,
% 30.88/21.70 ($false),
% 30.88/21.70 inference(unit_resolution,[status(thm)],[379, 376, 375, 373])).
% 30.88/21.70 tff(381,plain,(~![X: $i] : (p1(X) | (~r1(Y!20, X)))), inference(lemma,lemma(discharge,[]))).
% 30.88/21.70 tff(382,plain,
% 30.88/21.70 ((~(![X: $i] : ((~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~p1(Y!20)) | ![X: $i] : (p1(X) | (~r1(Y!20, X))) | (~((~r1(Y!20, tptp_fun_X_5(Y!20))) | (~p1(tptp_fun_X_5(Y!20))) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | p1(tptp_fun_Y_6(Y!20)))))) | ![X: $i] : ((~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~p1(Y!20)) | ![X: $i] : (p1(X) | (~r1(Y!20, X))) | (~((~r1(Y!20, tptp_fun_X_5(Y!20))) | (~p1(tptp_fun_X_5(Y!20))) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | p1(tptp_fun_Y_6(Y!20))))),
% 30.88/21.70 inference(tautology,[status(thm)],[])).
% 30.88/21.70 tff(383,plain,
% 30.88/21.70 ((~(![X: $i] : ((~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~p1(Y!20)) | ![X: $i] : (p1(X) | (~r1(Y!20, X))) | (~((~r1(Y!20, tptp_fun_X_5(Y!20))) | (~p1(tptp_fun_X_5(Y!20))) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | p1(tptp_fun_Y_6(Y!20)))))) | ![X: $i] : ((~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~p1(Y!20)) | (~((~r1(Y!20, tptp_fun_X_5(Y!20))) | (~p1(tptp_fun_X_5(Y!20))) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | p1(tptp_fun_Y_6(Y!20))))),
% 30.88/21.70 inference(unit_resolution,[status(thm)],[382, 381])).
% 30.88/21.70 tff(384,plain,
% 30.88/21.70 (![X: $i] : ((~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y!20, tptp_fun_X_5(Y!20))) | (~p1(tptp_fun_X_5(Y!20))) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | p1(tptp_fun_Y_6(Y!20))))),
% 30.88/21.70 inference(unit_resolution,[status(thm)],[383, 372, 361])).
% 30.88/21.70 tff(385,plain,
% 30.88/21.70 (![X: $i] : ((~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))),
% 30.88/21.70 inference(unit_resolution,[status(thm)],[384, 359])).
% 30.88/21.70 tff(386,assumption,(![X: $i] : ((~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))), introduced(assumption)).
% 30.88/21.70 tff(387,assumption,((~r1(X!22, tptp_fun_Y_3(X!22))) | (~p1(tptp_fun_Y_3(X!22))) | p1(tptp_fun_X_4(X!22)) | (~r1(tptp_fun_Y_3(X!22), tptp_fun_X_4(X!22)))), introduced(assumption)).
% 30.88/21.70 tff(388,plain,
% 30.88/21.70 (((~![X: $i] : ((~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))) | ((~r1(Y!20, X!22)) | (~((~r1(X!22, tptp_fun_Y_3(X!22))) | (~p1(tptp_fun_Y_3(X!22))) | p1(tptp_fun_X_4(X!22)) | (~r1(tptp_fun_Y_3(X!22), tptp_fun_X_4(X!22))))))) <=> ((~![X: $i] : ((~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))) | (~r1(Y!20, X!22)) | (~((~r1(X!22, tptp_fun_Y_3(X!22))) | (~p1(tptp_fun_Y_3(X!22))) | p1(tptp_fun_X_4(X!22)) | (~r1(tptp_fun_Y_3(X!22), tptp_fun_X_4(X!22))))))),
% 30.88/21.70 inference(rewrite,[status(thm)],[])).
% 30.88/21.70 tff(389,plain,
% 30.88/21.70 ((~![X: $i] : ((~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))) | ((~r1(Y!20, X!22)) | (~((~r1(X!22, tptp_fun_Y_3(X!22))) | (~p1(tptp_fun_Y_3(X!22))) | p1(tptp_fun_X_4(X!22)) | (~r1(tptp_fun_Y_3(X!22), tptp_fun_X_4(X!22))))))),
% 30.88/21.70 inference(quant_inst,[status(thm)],[])).
% 30.88/21.70 tff(390,plain,
% 30.88/21.70 ((~![X: $i] : ((~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))) | (~r1(Y!20, X!22)) | (~((~r1(X!22, tptp_fun_Y_3(X!22))) | (~p1(tptp_fun_Y_3(X!22))) | p1(tptp_fun_X_4(X!22)) | (~r1(tptp_fun_Y_3(X!22), tptp_fun_X_4(X!22)))))),
% 30.88/21.70 inference(modus_ponens,[status(thm)],[389, 388])).
% 30.88/21.70 tff(391,plain,
% 30.88/21.70 ($false),
% 30.88/21.70 inference(unit_resolution,[status(thm)],[390, 142, 387, 386])).
% 30.88/21.70 tff(392,plain,((~((~r1(X!22, tptp_fun_Y_3(X!22))) | (~p1(tptp_fun_Y_3(X!22))) | p1(tptp_fun_X_4(X!22)) | (~r1(tptp_fun_Y_3(X!22), tptp_fun_X_4(X!22))))) | (~![X: $i] : ((~r1(Y!20, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | (~p1(tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))))), inference(lemma,lemma(discharge,[]))).
% 30.88/21.70 tff(393,plain,
% 30.88/21.70 (~((~r1(X!22, tptp_fun_Y_3(X!22))) | (~p1(tptp_fun_Y_3(X!22))) | p1(tptp_fun_X_4(X!22)) | (~r1(tptp_fun_Y_3(X!22), tptp_fun_X_4(X!22))))),
% 30.88/21.70 inference(unit_resolution,[status(thm)],[392, 385])).
% 30.88/21.70 tff(394,plain,
% 30.88/21.70 (((~r1(X!22, tptp_fun_Y_3(X!22))) | (~p1(tptp_fun_Y_3(X!22))) | p1(tptp_fun_X_4(X!22)) | (~r1(tptp_fun_Y_3(X!22), tptp_fun_X_4(X!22)))) | (~p1(tptp_fun_X_4(X!22)))),
% 30.88/21.70 inference(tautology,[status(thm)],[])).
% 30.88/21.70 tff(395,plain,
% 30.88/21.70 (~p1(tptp_fun_X_4(X!22))),
% 30.88/21.70 inference(unit_resolution,[status(thm)],[394, 393])).
% 30.88/21.70 tff(396,plain,
% 30.88/21.70 (((~r1(X!22, tptp_fun_Y_3(X!22))) | (~p1(tptp_fun_Y_3(X!22))) | p1(tptp_fun_X_4(X!22)) | (~r1(tptp_fun_Y_3(X!22), tptp_fun_X_4(X!22)))) | r1(tptp_fun_Y_3(X!22), tptp_fun_X_4(X!22))),
% 30.88/21.70 inference(tautology,[status(thm)],[])).
% 30.88/21.70 tff(397,plain,
% 30.88/21.70 (r1(tptp_fun_Y_3(X!22), tptp_fun_X_4(X!22))),
% 30.88/21.70 inference(unit_resolution,[status(thm)],[396, 393])).
% 30.88/21.70 tff(398,assumption,(![X: $i] : (p1(X) | (~r1(tptp_fun_Y_3(X!22), X)))), introduced(assumption)).
% 30.88/21.70 tff(399,assumption,(r1(tptp_fun_Y_3(X!22), tptp_fun_X_4(X!22))), introduced(assumption)).
% 30.88/21.70 tff(400,assumption,(~p1(tptp_fun_X_4(X!22))), introduced(assumption)).
% 30.88/21.70 tff(401,plain,
% 30.88/21.70 (((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_3(X!22), X)))) | (p1(tptp_fun_X_4(X!22)) | (~r1(tptp_fun_Y_3(X!22), tptp_fun_X_4(X!22))))) <=> ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_3(X!22), X)))) | p1(tptp_fun_X_4(X!22)) | (~r1(tptp_fun_Y_3(X!22), tptp_fun_X_4(X!22))))),
% 30.88/21.70 inference(rewrite,[status(thm)],[])).
% 30.88/21.70 tff(402,plain,
% 30.88/21.70 ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_3(X!22), X)))) | (p1(tptp_fun_X_4(X!22)) | (~r1(tptp_fun_Y_3(X!22), tptp_fun_X_4(X!22))))),
% 30.88/21.70 inference(quant_inst,[status(thm)],[])).
% 30.88/21.70 tff(403,plain,
% 30.88/21.70 ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_3(X!22), X)))) | p1(tptp_fun_X_4(X!22)) | (~r1(tptp_fun_Y_3(X!22), tptp_fun_X_4(X!22)))),
% 30.88/21.70 inference(modus_ponens,[status(thm)],[402, 401])).
% 30.88/21.70 tff(404,plain,
% 30.88/21.70 ($false),
% 30.88/21.70 inference(unit_resolution,[status(thm)],[403, 400, 399, 398])).
% 30.88/21.70 tff(405,plain,((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_3(X!22), X)))) | p1(tptp_fun_X_4(X!22)) | (~r1(tptp_fun_Y_3(X!22), tptp_fun_X_4(X!22)))), inference(lemma,lemma(discharge,[]))).
% 30.88/21.70 tff(406,plain,
% 30.88/21.70 (~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_3(X!22), X)))),
% 30.88/21.70 inference(unit_resolution,[status(thm)],[405, 397, 395])).
% 30.88/21.71 tff(407,plain,
% 30.88/21.71 (((~r1(X!22, tptp_fun_Y_3(X!22))) | (~p1(tptp_fun_Y_3(X!22))) | p1(tptp_fun_X_4(X!22)) | (~r1(tptp_fun_Y_3(X!22), tptp_fun_X_4(X!22)))) | r1(X!22, tptp_fun_Y_3(X!22))),
% 30.88/21.71 inference(tautology,[status(thm)],[])).
% 30.88/21.71 tff(408,plain,
% 30.88/21.71 (r1(X!22, tptp_fun_Y_3(X!22))),
% 30.88/21.71 inference(unit_resolution,[status(thm)],[407, 393])).
% 30.88/21.71 tff(409,plain,
% 30.88/21.71 (((~![Y: $i] : ((~r1(X!22, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ((~r1(X!22, tptp_fun_Y_3(X!22))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_3(X!22), X))))) <=> ((~![Y: $i] : ((~r1(X!22, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | (~r1(X!22, tptp_fun_Y_3(X!22))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_3(X!22), X))))),
% 30.88/21.71 inference(rewrite,[status(thm)],[])).
% 30.88/21.71 tff(410,plain,
% 30.88/21.71 ((~![Y: $i] : ((~r1(X!22, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ((~r1(X!22, tptp_fun_Y_3(X!22))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_3(X!22), X))))),
% 30.88/21.71 inference(quant_inst,[status(thm)],[])).
% 30.88/21.71 tff(411,plain,
% 30.88/21.71 ((~![Y: $i] : ((~r1(X!22, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | (~r1(X!22, tptp_fun_Y_3(X!22))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_3(X!22), X)))),
% 30.88/21.71 inference(modus_ponens,[status(thm)],[410, 409])).
% 30.88/21.71 tff(412,plain,
% 30.88/21.71 ($false),
% 30.88/21.71 inference(unit_resolution,[status(thm)],[411, 408, 406, 147])).
% 30.88/21.71 % SZS output end Proof
%------------------------------------------------------------------------------