TSTP Solution File: LCL646+1.005 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : LCL646+1.005 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n024.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 04:57:01 EDT 2022
% Result : Theorem 0.99s 0.90s
% Output : Proof 1.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : LCL646+1.005 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.15 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Sep 1 22:58:03 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.36 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.36 Usage: tptp [options] [-file:]file
% 0.13/0.36 -h, -? prints this message.
% 0.13/0.36 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.36 -m, -model generate model.
% 0.13/0.36 -p, -proof generate proof.
% 0.13/0.36 -c, -core generate unsat core of named formulas.
% 0.13/0.36 -st, -statistics display statistics.
% 0.13/0.36 -t:timeout set timeout (in second).
% 0.13/0.36 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.36 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.36 -<param>:<value> configuration parameter and value.
% 0.13/0.36 -o:<output-file> file to place output in.
% 0.99/0.90 % SZS status Theorem
% 0.99/0.90 % SZS output start Proof
% 0.99/0.90 tff(r1_type, type, (
% 0.99/0.90 r1: ( $i * $i ) > $o)).
% 0.99/0.90 tff(tptp_fun_X_9_type, type, (
% 0.99/0.90 tptp_fun_X_9: $i > $i)).
% 0.99/0.90 tff(tptp_fun_Y_12_type, type, (
% 0.99/0.90 tptp_fun_Y_12: $i > $i)).
% 0.99/0.90 tff(tptp_fun_Y_2_type, type, (
% 0.99/0.90 tptp_fun_Y_2: $i)).
% 0.99/0.90 tff(p4_type, type, (
% 0.99/0.90 p4: $i > $o)).
% 0.99/0.90 tff(p1_type, type, (
% 0.99/0.90 p1: $i > $o)).
% 0.99/0.90 tff(tptp_fun_X_0_type, type, (
% 0.99/0.90 tptp_fun_X_0: $i)).
% 0.99/0.90 tff(p2_type, type, (
% 0.99/0.90 p2: $i > $o)).
% 0.99/0.90 tff(tptp_fun_X_7_type, type, (
% 0.99/0.90 tptp_fun_X_7: $i > $i)).
% 0.99/0.90 tff(p6_type, type, (
% 0.99/0.90 p6: $i > $o)).
% 0.99/0.90 tff(tptp_fun_Y_6_type, type, (
% 0.99/0.90 tptp_fun_Y_6: $i > $i)).
% 0.99/0.90 tff(tptp_fun_Y_16_type, type, (
% 0.99/0.90 tptp_fun_Y_16: $i > $i)).
% 0.99/0.90 tff(p5_type, type, (
% 0.99/0.90 p5: $i > $o)).
% 0.99/0.90 tff(tptp_fun_Y_13_type, type, (
% 0.99/0.90 tptp_fun_Y_13: $i > $i)).
% 0.99/0.90 tff(p3_type, type, (
% 0.99/0.90 p3: $i > $o)).
% 0.99/0.90 tff(tptp_fun_Y_11_type, type, (
% 0.99/0.90 tptp_fun_Y_11: $i > $i)).
% 0.99/0.90 tff(tptp_fun_Y_10_type, type, (
% 0.99/0.90 tptp_fun_Y_10: $i > $i)).
% 0.99/0.90 tff(tptp_fun_X_15_type, type, (
% 0.99/0.90 tptp_fun_X_15: $i > $i)).
% 0.99/0.90 tff(tptp_fun_X_14_type, type, (
% 0.99/0.90 tptp_fun_X_14: $i > $i)).
% 0.99/0.90 tff(tptp_fun_X_8_type, type, (
% 0.99/0.90 tptp_fun_X_8: $i > $i)).
% 0.99/0.90 tff(tptp_fun_X_1_type, type, (
% 0.99/0.90 tptp_fun_X_1: $i > $i)).
% 0.99/0.90 tff(tptp_fun_Y_5_type, type, (
% 0.99/0.90 tptp_fun_Y_5: $i)).
% 0.99/0.90 tff(tptp_fun_Y_4_type, type, (
% 0.99/0.90 tptp_fun_Y_4: $i)).
% 0.99/0.90 tff(tptp_fun_Y_3_type, type, (
% 0.99/0.90 tptp_fun_Y_3: $i)).
% 0.99/0.90 tff(1,plain,
% 0.99/0.90 (^[Y: $i] : refl((p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y))))) <=> (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y))))))),
% 0.99/0.90 inference(bind,[status(th)],[])).
% 0.99/0.90 tff(2,plain,
% 0.99/0.90 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y))))) <=> ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y)))))),
% 0.99/0.90 inference(quant_intro,[status(thm)],[1])).
% 0.99/0.90 tff(3,plain,
% 0.99/0.90 ((![Y: $i] : ((~r1(X!0, Y)) | ((~((~r1(Y, tptp_fun_X_1(Y))) | p3(tptp_fun_X_1(Y)))) | (~(~p1(Y))))) & (~((~r1(X!0, Y!2)) | p2(Y!2))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p6(Y) | (~r1(X, Y))))))) & (~((~r1(X!0, Y!3)) | p5(Y!3))) & (~((~r1(X!0, Y!4)) | p3(Y!4))) & (~((~r1(X!0, Y!5)) | p1(Y!5))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((~(p6(tptp_fun_Y_6(X)) | (~r1(X, tptp_fun_Y_6(X))))) | (~(~p6(X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((~(p6(tptp_fun_Y_6(X)) | (~r1(X, tptp_fun_Y_6(X))))) | (~(~p4(X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((~(p6(tptp_fun_Y_6(X)) | (~r1(X, tptp_fun_Y_6(X))))) | (~(~p2(X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((~(p6(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))))) | (~(~p6(Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((~(p6(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))))) | (~(~p2(Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((~((~r1(Y, tptp_fun_X_8(Y))) | p5(tptp_fun_X_8(Y)))) | (~(~p1(Y))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y)))) | (~(~p2(Y))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((~((~r1(Y, tptp_fun_X_1(Y))) | p3(tptp_fun_X_1(Y)))) | (~(~p3(Y))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((~((~r1(Y, tptp_fun_X_8(Y))) | p5(tptp_fun_X_8(Y)))) | (~(~p3(Y))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((~((~r1(Y, tptp_fun_X_1(Y))) | p3(tptp_fun_X_1(Y)))) | (~(~p5(Y))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((~((~r1(Y, tptp_fun_X_8(Y))) | p5(tptp_fun_X_8(Y)))) | (~(~p5(Y))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_10(X))) | p1(tptp_fun_Y_10(X)))) | (~(~p1(X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_11(X))) | p3(tptp_fun_Y_11(X)))) | (~(~p1(X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))) | (~(~p1(X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_13(X))) | p5(tptp_fun_Y_13(X)))) | (~(~p1(X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((~((~r1(Y, tptp_fun_X_14(Y))) | p2(tptp_fun_X_14(Y)))) | (~(~p4(Y))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((~((~r1(Y, tptp_fun_X_14(Y))) | p2(tptp_fun_X_14(Y)))) | (~(~p6(Y))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_10(X))) | p1(tptp_fun_Y_10(X)))) | (~(~p3(X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_11(X))) | p3(tptp_fun_Y_11(X)))) | (~(~p3(X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_13(X))) | p5(tptp_fun_Y_13(X)))) | (~(~p3(X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((~((~r1(Y, tptp_fun_X_15(Y))) | p4(tptp_fun_X_15(Y)))) | (~(~p4(Y))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((~((~r1(Y, tptp_fun_X_15(Y))) | p4(tptp_fun_X_15(Y)))) | (~(~p6(Y))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_10(X))) | p1(tptp_fun_Y_10(X)))) | (~(~p5(X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_11(X))) | p3(tptp_fun_Y_11(X)))) | (~(~p5(X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_13(X))) | p5(tptp_fun_Y_13(X)))) | (~(~p5(X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_1(Y))) | p3(tptp_fun_X_1(Y)))) | (~(~p1(Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_8(Y))) | p5(tptp_fun_X_8(Y)))) | (~(~p1(Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_16(X))) | p2(tptp_fun_Y_16(X)))) | (~(~p2(X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_16(X))) | p2(tptp_fun_Y_16(X)))) | (~(~p4(X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_16(X))) | p2(tptp_fun_Y_16(X)))) | (~(~p6(X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_1(Y))) | p3(tptp_fun_X_1(Y)))) | (~(~p3(Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_8(Y))) | p5(tptp_fun_X_8(Y)))) | (~(~p3(Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y)))) | (~(~p4(Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))) | (~(~p2(X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))) | (~(~p4(X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))) | (~(~p6(X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_1(Y))) | p3(tptp_fun_X_1(Y)))) | (~(~p5(Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_8(Y))) | p5(tptp_fun_X_8(Y)))) | (~(~p5(Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_10(X))) | p1(tptp_fun_Y_10(X)))) | (~(~p1(X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_11(X))) | p3(tptp_fun_Y_11(X)))) | (~(~p1(X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))) | (~(~p1(X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_13(X))) | p5(tptp_fun_Y_13(X)))) | (~(~p1(X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_14(Y))) | p2(tptp_fun_X_14(Y)))) | (~(~p2(Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_14(Y))) | p2(tptp_fun_X_14(Y)))) | (~(~p6(Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_10(X))) | p1(tptp_fun_Y_10(X)))) | (~(~p3(X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_11(X))) | p3(tptp_fun_Y_11(X)))) | (~(~p3(X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_13(X))) | p5(tptp_fun_Y_13(X)))) | (~(~p3(X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_15(Y))) | p4(tptp_fun_X_15(Y)))) | (~(~p2(Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((~((~r1(Y, tptp_fun_X_15(Y))) | p4(tptp_fun_X_15(Y)))) | (~(~p6(Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_10(X))) | p1(tptp_fun_Y_10(X)))) | (~(~p5(X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_11(X))) | p3(tptp_fun_Y_11(X)))) | (~(~p5(X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_13(X))) | p5(tptp_fun_Y_13(X)))) | (~(~p5(X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_16(X))) | p2(tptp_fun_Y_16(X)))) | (~(~p2(X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_16(X))) | p2(tptp_fun_Y_16(X)))) | (~(~p4(X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_16(X))) | p2(tptp_fun_Y_16(X)))) | (~(~p6(X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))) | (~(~p2(X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))) | (~(~p4(X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))) | (~(~p6(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)) | p2(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)) | p4(Y)))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((~(p6(tptp_fun_Y_6(X)) | (~r1(X, tptp_fun_Y_6(X))))) | (~(~p6(X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((~(p6(tptp_fun_Y_6(X)) | (~r1(X, tptp_fun_Y_6(X))))) | (~(~p4(X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((~(p6(tptp_fun_Y_6(X)) | (~r1(X, tptp_fun_Y_6(X))))) | (~(~p2(X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((~(p6(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))))) | (~(~p6(Y))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((~(p6(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))))) | (~(~p4(Y)))))) <=> (![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (~(p3(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) & (~((~r1(X!0, Y!2)) | p2(Y!2))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p6(Y) | (~r1(X, Y))))))) & (~((~r1(X!0, Y!3)) | p5(Y!3))) & (~((~r1(X!0, Y!4)) | p3(Y!4))) & (~((~r1(X!0, Y!5)) | p1(Y!5))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p6(X) | (~r1(Y, X)) | (~(p6(tptp_fun_Y_6(X)) | (~r1(X, tptp_fun_Y_6(X))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~(p6(tptp_fun_Y_6(X)) | (~r1(X, tptp_fun_Y_6(X))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~(p6(tptp_fun_Y_6(X)) | (~r1(X, tptp_fun_Y_6(X))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p6(Y) | (~r1(X, Y)) | (~(p6(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~(p6(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y)))))))) & ![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | p5(tptp_fun_X_8(Y))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y))))) & ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | (~(p3(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) & ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | p5(tptp_fun_X_8(Y))))) & ![Y: $i] : (p5(Y) | (~r1(X!0, Y)) | (~(p3(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) & ![Y: $i] : (p5(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | p5(tptp_fun_X_8(Y))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_10(X))) | p1(tptp_fun_Y_10(X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_11(X))) | p3(tptp_fun_Y_11(X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_13(X))) | p5(tptp_fun_Y_13(X)))))) & ![Y: $i] : (p4(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_14(Y))) | p2(tptp_fun_X_14(Y))))) & ![Y: $i] : (p6(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_14(Y))) | p2(tptp_fun_X_14(Y))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p3(X) | (~((~r1(X, tptp_fun_Y_10(X))) | p1(tptp_fun_Y_10(X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p3(X) | (~((~r1(X, tptp_fun_Y_11(X))) | p3(tptp_fun_Y_11(X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p3(X) | (~((~r1(X, tptp_fun_Y_13(X))) | p5(tptp_fun_Y_13(X)))))) & ![Y: $i] : (p4(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_15(Y))) | p4(tptp_fun_X_15(Y))))) & ![Y: $i] : (p6(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_15(Y))) | p4(tptp_fun_X_15(Y))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~((~r1(X, tptp_fun_Y_10(X))) | p1(tptp_fun_Y_10(X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~((~r1(X, tptp_fun_Y_11(X))) | p3(tptp_fun_Y_11(X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~((~r1(X, tptp_fun_Y_13(X))) | p5(tptp_fun_Y_13(X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~(p3(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~((~r1(Y, tptp_fun_X_8(Y))) | p5(tptp_fun_X_8(Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(X, tptp_fun_Y_16(X))) | p2(tptp_fun_Y_16(X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~((~r1(X, tptp_fun_Y_16(X))) | p2(tptp_fun_Y_16(X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p6(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_16(X))) | p2(tptp_fun_Y_16(X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~(p3(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~((~r1(Y, tptp_fun_X_8(Y))) | p5(tptp_fun_X_8(Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p6(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p5(Y) | (~(p3(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p5(Y) | (~((~r1(Y, tptp_fun_X_8(Y))) | p5(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)) | p1(X) | (~((~r1(X, tptp_fun_Y_10(X))) | p1(tptp_fun_Y_10(X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_11(X))) | p3(tptp_fun_Y_11(X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_13(X))) | p5(tptp_fun_Y_13(X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_14(Y))) | p2(tptp_fun_X_14(Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p6(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_14(Y))) | p2(tptp_fun_X_14(Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p3(X) | (~((~r1(X, tptp_fun_Y_10(X))) | p1(tptp_fun_Y_10(X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p3(X) | (~((~r1(X, tptp_fun_Y_11(X))) | p3(tptp_fun_Y_11(X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p3(X) | (~((~r1(X, tptp_fun_Y_13(X))) | p5(tptp_fun_Y_13(X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_15(Y))) | p4(tptp_fun_X_15(Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p6(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_15(Y))) | p4(tptp_fun_X_15(Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~((~r1(X, tptp_fun_Y_10(X))) | p1(tptp_fun_Y_10(X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~((~r1(X, tptp_fun_Y_11(X))) | p3(tptp_fun_Y_11(X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~((~r1(X, tptp_fun_Y_13(X))) | p5(tptp_fun_Y_13(X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(X, tptp_fun_Y_16(X))) | p2(tptp_fun_Y_16(X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~((~r1(X, tptp_fun_Y_16(X))) | p2(tptp_fun_Y_16(X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p6(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_16(X))) | p2(tptp_fun_Y_16(X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p6(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(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)) | p2(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)) | p4(Y)))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p6(X) | (~r1(Y, X)) | (~(p6(tptp_fun_Y_6(X)) | (~r1(X, tptp_fun_Y_6(X))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~(p6(tptp_fun_Y_6(X)) | (~r1(X, tptp_fun_Y_6(X))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~(p6(tptp_fun_Y_6(X)) | (~r1(X, tptp_fun_Y_6(X))))))) & ![Y: $i] : (p6(Y) | (~r1(X!0, Y)) | (~(p6(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y)))))) & ![Y: $i] : (p4(Y) | (~r1(X!0, Y)) | (~(p6(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y)))))))),
% 0.99/0.91 inference(rewrite,[status(thm)],[])).
% 0.99/0.91 tff(4,plain,
% 0.99/0.91 (?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p1(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p6(Y) | (~r1(X, Y)))))))) | ![Y: $i] : ((~r1(X, Y)) | p5(Y)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![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] : (p6(Y) | (~r1(X, Y))) & (~p6(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p6(Y) | (~r1(X, Y))) & (~p4(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p6(Y) | (~r1(X, Y))) & (~p2(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : (p6(X) | (~r1(Y, X))) & (~p6(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : (p6(X) | (~r1(Y, X))) & (~p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p1(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p1(X)) & (~p2(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p3(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p3(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p5(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p5(Y)))))) | (~![Y: $i] : ((~r1(X, 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)) | p3(Y)) & (~p1(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p1(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) & (~p1(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p2(X)) & (~p4(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p2(X)) & (~p6(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p1(Y)) & (~p3(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) & (~p3(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) & (~p3(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p4(X)) & (~p4(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p4(X)) & (~p6(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p1(Y)) & (~p5(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) & (~p5(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) & (~p5(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p1(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p1(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p2(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p4(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p6(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p3(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p3(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p1(X)) & (~p4(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p2(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p4(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p6(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p5(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p5(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)) & (~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)) | p3(Y)) & (~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)) | p4(Y)) & (~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)) | p5(Y)) & (~p1(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p2(X)) & (~p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p2(X)) & (~p6(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)) & (~p3(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) & (~p3(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) & (~p3(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p4(X)) & (~p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p4(X)) & (~p6(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)) & (~p5(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) & (~p5(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) & (~p5(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p2(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p4(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p6(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p2(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p4(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p6(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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)) | p4(Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p6(Y) | (~r1(X, Y))) & (~p6(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p6(Y) | (~r1(X, Y))) & (~p4(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p6(Y) | (~r1(X, Y))) & (~p2(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : (p6(X) | (~r1(Y, X))) & (~p6(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : (p6(X) | (~r1(Y, X))) & (~p4(Y)))))))) <=> ?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p1(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p6(Y) | (~r1(X, Y)))))))) | ![Y: $i] : ((~r1(X, Y)) | p5(Y)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![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] : (p6(Y) | (~r1(X, Y))) & (~p6(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p6(Y) | (~r1(X, Y))) & (~p4(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p6(Y) | (~r1(X, Y))) & (~p2(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : (p6(X) | (~r1(Y, X))) & (~p6(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : (p6(X) | (~r1(Y, X))) & (~p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p1(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p1(X)) & (~p2(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p3(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p3(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p5(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p5(Y)))))) | (~![Y: $i] : ((~r1(X, 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)) | p3(Y)) & (~p1(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p1(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) & (~p1(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p2(X)) & (~p4(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p2(X)) & (~p6(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p1(Y)) & (~p3(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) & (~p3(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) & (~p3(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p4(X)) & (~p4(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p4(X)) & (~p6(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p1(Y)) & (~p5(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) & (~p5(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) & (~p5(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p1(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p1(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p2(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p4(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p6(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p3(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p3(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p1(X)) & (~p4(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p2(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p4(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p6(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p5(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p5(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)) & (~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)) | p3(Y)) & (~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)) | p4(Y)) & (~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)) | p5(Y)) & (~p1(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p2(X)) & (~p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p2(X)) & (~p6(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)) & (~p3(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) & (~p3(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) & (~p3(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p4(X)) & (~p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p4(X)) & (~p6(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)) & (~p5(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) & (~p5(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) & (~p5(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p2(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p4(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p6(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p2(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p4(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p6(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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)) | p4(Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p6(Y) | (~r1(X, Y))) & (~p6(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p6(Y) | (~r1(X, Y))) & (~p4(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p6(Y) | (~r1(X, Y))) & (~p2(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : (p6(X) | (~r1(Y, X))) & (~p6(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : (p6(X) | (~r1(Y, X))) & (~p4(Y))))))))),
% 0.99/0.91 inference(rewrite,[status(thm)],[])).
% 0.99/0.91 tff(5,plain,
% 0.99/0.91 ((~(~?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p1(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p6(Y) | (~r1(X, Y)))))))) | ![Y: $i] : ((~r1(X, Y)) | p5(Y)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![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] : (p6(Y) | (~r1(X, Y))) & (~p6(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p6(Y) | (~r1(X, Y))) & (~p4(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p6(Y) | (~r1(X, Y))) & (~p2(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : (p6(X) | (~r1(Y, X))) & (~p6(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : (p6(X) | (~r1(Y, X))) & (~p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p1(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p1(X)) & (~p2(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p3(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p3(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p5(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p5(Y)))))) | (~![Y: $i] : ((~r1(X, 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)) | p3(Y)) & (~p1(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p1(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) & (~p1(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p2(X)) & (~p4(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p2(X)) & (~p6(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p1(Y)) & (~p3(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) & (~p3(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) & (~p3(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p4(X)) & (~p4(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p4(X)) & (~p6(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p1(Y)) & (~p5(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) & (~p5(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) & (~p5(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p1(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p1(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p2(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p4(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p6(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p3(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p3(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p1(X)) & (~p4(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p2(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p4(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p6(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p5(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p5(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)) & (~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)) | p3(Y)) & (~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)) | p4(Y)) & (~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)) | p5(Y)) & (~p1(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p2(X)) & (~p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p2(X)) & (~p6(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)) & (~p3(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) & (~p3(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) & (~p3(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p4(X)) & (~p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p4(X)) & (~p6(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)) & (~p5(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) & (~p5(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) & (~p5(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p2(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p4(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p6(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p2(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p4(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p6(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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)) | p4(Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p6(Y) | (~r1(X, Y))) & (~p6(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p6(Y) | (~r1(X, Y))) & (~p4(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p6(Y) | (~r1(X, Y))) & (~p2(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : (p6(X) | (~r1(Y, X))) & (~p6(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : (p6(X) | (~r1(Y, X))) & (~p4(Y)))))))))) <=> ?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p1(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p6(Y) | (~r1(X, Y)))))))) | ![Y: $i] : ((~r1(X, Y)) | p5(Y)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![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] : (p6(Y) | (~r1(X, Y))) & (~p6(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p6(Y) | (~r1(X, Y))) & (~p4(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p6(Y) | (~r1(X, Y))) & (~p2(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : (p6(X) | (~r1(Y, X))) & (~p6(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : (p6(X) | (~r1(Y, X))) & (~p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p1(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p1(X)) & (~p2(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p3(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p3(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p5(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p5(Y)))))) | (~![Y: $i] : ((~r1(X, 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)) | p3(Y)) & (~p1(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p1(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) & (~p1(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p2(X)) & (~p4(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p2(X)) & (~p6(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p1(Y)) & (~p3(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) & (~p3(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) & (~p3(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p4(X)) & (~p4(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p4(X)) & (~p6(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p1(Y)) & (~p5(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) & (~p5(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) & (~p5(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p1(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p1(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p2(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p4(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p6(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p3(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p3(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p1(X)) & (~p4(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p2(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p4(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p6(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p5(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p5(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)) & (~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)) | p3(Y)) & (~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)) | p4(Y)) & (~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)) | p5(Y)) & (~p1(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p2(X)) & (~p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p2(X)) & (~p6(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)) & (~p3(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) & (~p3(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) & (~p3(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p4(X)) & (~p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p4(X)) & (~p6(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)) & (~p5(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) & (~p5(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) & (~p5(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p2(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p4(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p6(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p2(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p4(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p6(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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)) | p4(Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p6(Y) | (~r1(X, Y))) & (~p6(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p6(Y) | (~r1(X, Y))) & (~p4(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p6(Y) | (~r1(X, Y))) & (~p2(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : (p6(X) | (~r1(Y, X))) & (~p6(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : (p6(X) | (~r1(Y, X))) & (~p4(Y))))))))),
% 0.99/0.92 inference(rewrite,[status(thm)],[])).
% 0.99/0.92 tff(6,plain,
% 0.99/0.92 ((~?[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)) | p6(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)) | p4(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)) | p4(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)) | p2(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)) | p6(Y)) & (~p6(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p6(Y)) & (~p4(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p6(Y)) & (~p2(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p6(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p4(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p2(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p6(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p4(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p2(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p6(X)) & (~p6(Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p6(X)) & (~p2(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)) | p5(Y)) & (~p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) & (~p5(X)))))))))) | (~![Y: $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)) & (~p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p4(X)) & (~p6(Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p4(X)) & (~p2(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)) | p5(Y)) & (~p3(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) & (~p3(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p1(Y)) & (~p3(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p2(X)) & (~p6(Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p2(X)) & (~p2(Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) & (~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)) | p4(Y)) & (~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)) | p3(Y)) & (~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)) | p1(Y)) & (~p1(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p6(Y)) & (~p6(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p6(Y)) & (~p4(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p6(Y)) & (~p2(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p5(Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p5(Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p6(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p4(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p2(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p1(X)) & (~p4(Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p3(Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p3(Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p6(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p4(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p2(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p1(Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p1(Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p6(X)) & (~p6(Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p6(X)) & (~p4(Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) & (~p5(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) & (~p5(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p1(Y)) & (~p5(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p4(X)) & (~p6(Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p4(X)) & (~p4(Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) & (~p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) & (~p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p1(Y)) & (~p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p2(X)) & (~p6(Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p2(X)) & (~p4(Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) & (~p1(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p1(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) & (~p1(X)))))))) | (~![Y: $i] : ((~r1(X, 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)) | p5(X)) & (~p5(Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p5(Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p3(Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p3(Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p1(X)) & (~p2(Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p1(Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p1(Y))))))) | ![Y: $i] : ((~r1(X, Y)) | p5(Y))) | ![Y: $i] : ((~r1(X, Y)) | p3(Y))) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))))) <=> (~?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p1(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p6(Y) | (~r1(X, Y)))))))) | ![Y: $i] : ((~r1(X, Y)) | p5(Y)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![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] : (p6(Y) | (~r1(X, Y))) & (~p6(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p6(Y) | (~r1(X, Y))) & (~p4(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p6(Y) | (~r1(X, Y))) & (~p2(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : (p6(X) | (~r1(Y, X))) & (~p6(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : (p6(X) | (~r1(Y, X))) & (~p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p1(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p1(X)) & (~p2(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p3(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p3(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p5(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p5(Y)))))) | (~![Y: $i] : ((~r1(X, 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)) | p3(Y)) & (~p1(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p1(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) & (~p1(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p2(X)) & (~p4(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p2(X)) & (~p6(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p1(Y)) & (~p3(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) & (~p3(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) & (~p3(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p4(X)) & (~p4(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p4(X)) & (~p6(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p1(Y)) & (~p5(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) & (~p5(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) & (~p5(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p1(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p1(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p2(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p4(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p6(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p3(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p3(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p1(X)) & (~p4(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p2(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p4(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p6(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p5(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p5(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)) & (~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)) | p3(Y)) & (~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)) | p4(Y)) & (~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)) | p5(Y)) & (~p1(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p2(X)) & (~p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p2(X)) & (~p6(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)) & (~p3(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) & (~p3(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) & (~p3(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p4(X)) & (~p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p4(X)) & (~p6(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)) & (~p5(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) & (~p5(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) & (~p5(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p2(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p4(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p6(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p2(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p4(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p6(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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)) | p4(Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p6(Y) | (~r1(X, Y))) & (~p6(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p6(Y) | (~r1(X, Y))) & (~p4(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p6(Y) | (~r1(X, Y))) & (~p2(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : (p6(X) | (~r1(Y, X))) & (~p6(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : (p6(X) | (~r1(Y, X))) & (~p4(Y)))))))))),
% 1.04/0.93 inference(rewrite,[status(thm)],[])).
% 1.04/0.93 tff(7,plain,
% 1.04/0.93 ((~(~?[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)) | p6(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)) | p4(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)) | p4(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)) | p2(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)) | p6(Y)) & (~p6(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p6(Y)) & (~p4(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p6(Y)) & (~p2(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p6(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p4(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p2(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p6(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p4(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p2(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p6(X)) & (~p6(Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p6(X)) & (~p2(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)) | p5(Y)) & (~p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) & (~p5(X)))))))))) | (~![Y: $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)) & (~p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p4(X)) & (~p6(Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p4(X)) & (~p2(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)) | p5(Y)) & (~p3(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) & (~p3(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p1(Y)) & (~p3(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p2(X)) & (~p6(Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p2(X)) & (~p2(Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) & (~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)) | p4(Y)) & (~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)) | p3(Y)) & (~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)) | p1(Y)) & (~p1(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p6(Y)) & (~p6(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p6(Y)) & (~p4(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p6(Y)) & (~p2(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p5(Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p5(Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p6(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p4(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p2(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p1(X)) & (~p4(Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p3(Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p3(Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p6(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p4(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p2(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p1(Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p1(Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p6(X)) & (~p6(Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p6(X)) & (~p4(Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) & (~p5(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) & (~p5(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p1(Y)) & (~p5(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p4(X)) & (~p6(Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p4(X)) & (~p4(Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) & (~p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) & (~p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p1(Y)) & (~p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p2(X)) & (~p6(Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p2(X)) & (~p4(Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) & (~p1(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p1(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) & (~p1(X)))))))) | (~![Y: $i] : ((~r1(X, 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)) | p5(X)) & (~p5(Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p5(Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p3(Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p3(Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p1(X)) & (~p2(Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p1(Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p1(Y))))))) | ![Y: $i] : ((~r1(X, Y)) | p5(Y))) | ![Y: $i] : ((~r1(X, Y)) | p3(Y))) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) <=> (~(~?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p1(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p6(Y) | (~r1(X, Y)))))))) | ![Y: $i] : ((~r1(X, Y)) | p5(Y)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![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] : (p6(Y) | (~r1(X, Y))) & (~p6(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p6(Y) | (~r1(X, Y))) & (~p4(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p6(Y) | (~r1(X, Y))) & (~p2(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : (p6(X) | (~r1(Y, X))) & (~p6(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : (p6(X) | (~r1(Y, X))) & (~p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p1(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p1(X)) & (~p2(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p3(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p3(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p5(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p5(Y)))))) | (~![Y: $i] : ((~r1(X, 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)) | p3(Y)) & (~p1(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p1(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) & (~p1(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p2(X)) & (~p4(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p2(X)) & (~p6(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p1(Y)) & (~p3(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) & (~p3(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) & (~p3(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p4(X)) & (~p4(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p4(X)) & (~p6(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p1(Y)) & (~p5(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) & (~p5(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) & (~p5(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p1(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p1(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p2(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p4(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p6(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p3(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p3(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p1(X)) & (~p4(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p2(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p4(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p6(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p5(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p5(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)) & (~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)) | p3(Y)) & (~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)) | p4(Y)) & (~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)) | p5(Y)) & (~p1(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p2(X)) & (~p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p2(X)) & (~p6(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)) & (~p3(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) & (~p3(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) & (~p3(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p4(X)) & (~p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p4(X)) & (~p6(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)) & (~p5(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) & (~p5(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) & (~p5(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p2(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p4(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p6(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p2(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p4(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p6(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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)) | p4(Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p6(Y) | (~r1(X, Y))) & (~p6(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p6(Y) | (~r1(X, Y))) & (~p4(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p6(Y) | (~r1(X, Y))) & (~p2(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : (p6(X) | (~r1(Y, X))) & (~p6(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : (p6(X) | (~r1(Y, X))) & (~p4(Y))))))))))),
% 1.04/0.94 inference(monotonicity,[status(thm)],[6])).
% 1.04/0.94 tff(8,plain,
% 1.04/0.94 ((~(~?[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)) | p6(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)) | p4(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)) | p4(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)) | p2(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)) | p6(Y)) & (~p6(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p6(Y)) & (~p4(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p6(Y)) & (~p2(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p6(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p4(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p2(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p6(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p4(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p2(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p6(X)) & (~p6(Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p6(X)) & (~p2(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)) | p5(Y)) & (~p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) & (~p5(X)))))))))) | (~![Y: $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)) & (~p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p4(X)) & (~p6(Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p4(X)) & (~p2(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)) | p5(Y)) & (~p3(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) & (~p3(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p1(Y)) & (~p3(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p2(X)) & (~p6(Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p2(X)) & (~p2(Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) & (~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)) | p4(Y)) & (~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)) | p3(Y)) & (~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)) | p1(Y)) & (~p1(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p6(Y)) & (~p6(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p6(Y)) & (~p4(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p6(Y)) & (~p2(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p5(Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p5(Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p6(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p4(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p2(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p1(X)) & (~p4(Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p3(Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p3(Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p6(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p4(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p2(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p1(Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p1(Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p6(X)) & (~p6(Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p6(X)) & (~p4(Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) & (~p5(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) & (~p5(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p1(Y)) & (~p5(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p4(X)) & (~p6(Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p4(X)) & (~p4(Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) & (~p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) & (~p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p1(Y)) & (~p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p2(X)) & (~p6(Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p2(X)) & (~p4(Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) & (~p1(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p1(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) & (~p1(X)))))))) | (~![Y: $i] : ((~r1(X, 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)) | p5(X)) & (~p5(Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p5(Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p3(Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p3(Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p1(X)) & (~p2(Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p1(Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p1(Y))))))) | ![Y: $i] : ((~r1(X, Y)) | p5(Y))) | ![Y: $i] : ((~r1(X, Y)) | p3(Y))) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) <=> ?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p1(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p6(Y) | (~r1(X, Y)))))))) | ![Y: $i] : ((~r1(X, Y)) | p5(Y)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![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] : (p6(Y) | (~r1(X, Y))) & (~p6(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p6(Y) | (~r1(X, Y))) & (~p4(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p6(Y) | (~r1(X, Y))) & (~p2(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : (p6(X) | (~r1(Y, X))) & (~p6(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : (p6(X) | (~r1(Y, X))) & (~p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p1(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p1(X)) & (~p2(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p3(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p3(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p5(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p5(Y)))))) | (~![Y: $i] : ((~r1(X, 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)) | p3(Y)) & (~p1(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p1(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) & (~p1(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p2(X)) & (~p4(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p2(X)) & (~p6(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p1(Y)) & (~p3(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) & (~p3(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) & (~p3(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p4(X)) & (~p4(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p4(X)) & (~p6(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p1(Y)) & (~p5(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) & (~p5(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) & (~p5(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p1(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p1(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p2(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p4(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p6(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p3(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p3(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p1(X)) & (~p4(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p2(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p4(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p6(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p5(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p5(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)) & (~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)) | p3(Y)) & (~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)) | p4(Y)) & (~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)) | p5(Y)) & (~p1(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p2(X)) & (~p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p2(X)) & (~p6(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)) & (~p3(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) & (~p3(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) & (~p3(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p4(X)) & (~p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p4(X)) & (~p6(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)) & (~p5(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) & (~p5(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) & (~p5(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p2(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p4(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p6(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p2(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p4(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p6(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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)) | p4(Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p6(Y) | (~r1(X, Y))) & (~p6(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p6(Y) | (~r1(X, Y))) & (~p4(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p6(Y) | (~r1(X, Y))) & (~p2(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : (p6(X) | (~r1(Y, X))) & (~p6(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : (p6(X) | (~r1(Y, X))) & (~p4(Y))))))))),
% 1.04/0.94 inference(transitivity,[status(thm)],[7, 5])).
% 1.04/0.94 tff(9,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)) | p6(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)) | p4(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)) | p4(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)) | p2(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)) | p6(Y)) & (~p6(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p6(Y)) & (~p4(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p6(Y)) & (~p2(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p6(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p4(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p2(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p6(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p4(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p2(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p6(X)) & (~p6(Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p6(X)) & (~p2(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)) | p5(Y)) & (~p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) & (~p5(X)))))))))) | (~![Y: $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)) & (~p5(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p4(X)) & (~p6(Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p4(X)) & (~p2(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)) | p5(Y)) & (~p3(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) & (~p3(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p1(Y)) & (~p3(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p2(X)) & (~p6(Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p2(X)) & (~p2(Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) & (~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)) | p4(Y)) & (~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)) | p3(Y)) & (~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)) | p1(Y)) & (~p1(X)))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p6(Y)) & (~p6(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p6(Y)) & (~p4(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p6(Y)) & (~p2(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p5(Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p5(Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p6(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p4(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p2(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p1(X)) & (~p4(Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p3(Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p3(Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p6(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p4(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p2(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p1(Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p1(Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p6(X)) & (~p6(Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p6(X)) & (~p4(Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) & (~p5(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) & (~p5(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p1(Y)) & (~p5(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p4(X)) & (~p6(Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p4(X)) & (~p4(Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) & (~p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) & (~p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p1(Y)) & (~p3(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p2(X)) & (~p6(Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p2(X)) & (~p4(Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) & (~p1(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p1(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) & (~p1(X)))))))) | (~![Y: $i] : ((~r1(X, 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)) | p5(X)) & (~p5(Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p5(Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p3(Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p3(Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p1(X)) & (~p2(Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p1(Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p1(Y))))))) | ![Y: $i] : ((~r1(X, Y)) | p5(Y))) | ![Y: $i] : ((~r1(X, Y)) | p3(Y))) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','main')).
% 1.05/0.95 tff(10,plain,
% 1.05/0.95 (?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p1(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p6(Y) | (~r1(X, Y)))))))) | ![Y: $i] : ((~r1(X, Y)) | p5(Y)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![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] : (p6(Y) | (~r1(X, Y))) & (~p6(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p6(Y) | (~r1(X, Y))) & (~p4(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p6(Y) | (~r1(X, Y))) & (~p2(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : (p6(X) | (~r1(Y, X))) & (~p6(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : (p6(X) | (~r1(Y, X))) & (~p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p1(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p1(X)) & (~p2(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p3(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p3(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p5(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p5(Y)))))) | (~![Y: $i] : ((~r1(X, 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)) | p3(Y)) & (~p1(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p1(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) & (~p1(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p2(X)) & (~p4(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p2(X)) & (~p6(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p1(Y)) & (~p3(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) & (~p3(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) & (~p3(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p4(X)) & (~p4(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p4(X)) & (~p6(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p1(Y)) & (~p5(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) & (~p5(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) & (~p5(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p1(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p1(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p2(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p4(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p6(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p3(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p3(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p1(X)) & (~p4(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p2(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p4(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p6(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p5(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p5(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)) & (~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)) | p3(Y)) & (~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)) | p4(Y)) & (~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)) | p5(Y)) & (~p1(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p2(X)) & (~p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p2(X)) & (~p6(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)) & (~p3(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) & (~p3(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) & (~p3(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p4(X)) & (~p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p4(X)) & (~p6(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)) & (~p5(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) & (~p5(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) & (~p5(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p2(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p4(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p6(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p2(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p4(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p6(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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)) | p4(Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p6(Y) | (~r1(X, Y))) & (~p6(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p6(Y) | (~r1(X, Y))) & (~p4(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p6(Y) | (~r1(X, Y))) & (~p2(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : (p6(X) | (~r1(Y, X))) & (~p6(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : (p6(X) | (~r1(Y, X))) & (~p4(Y))))))))),
% 1.05/0.95 inference(modus_ponens,[status(thm)],[9, 8])).
% 1.05/0.95 tff(11,plain,
% 1.05/0.95 (?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p1(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p6(Y) | (~r1(X, Y)))))))) | ![Y: $i] : ((~r1(X, Y)) | p5(Y)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![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] : (p6(Y) | (~r1(X, Y))) & (~p6(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p6(Y) | (~r1(X, Y))) & (~p4(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p6(Y) | (~r1(X, Y))) & (~p2(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : (p6(X) | (~r1(Y, X))) & (~p6(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : (p6(X) | (~r1(Y, X))) & (~p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p1(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p1(X)) & (~p2(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p3(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p3(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p5(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p5(Y)))))) | (~![Y: $i] : ((~r1(X, 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)) | p3(Y)) & (~p1(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p1(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) & (~p1(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p2(X)) & (~p4(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p2(X)) & (~p6(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p1(Y)) & (~p3(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) & (~p3(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) & (~p3(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p4(X)) & (~p4(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p4(X)) & (~p6(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p1(Y)) & (~p5(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) & (~p5(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) & (~p5(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p1(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p1(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p2(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p4(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p6(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p3(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p3(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p1(X)) & (~p4(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p2(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p4(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p6(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p3(X)) & (~p5(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p5(X)) & (~p5(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)) & (~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)) | p3(Y)) & (~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)) | p4(Y)) & (~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)) | p5(Y)) & (~p1(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p2(X)) & (~p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p2(X)) & (~p6(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)) & (~p3(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) & (~p3(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) & (~p3(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p4(X)) & (~p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : ((~r1(Y, X)) | p4(X)) & (~p6(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)) & (~p5(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) & (~p5(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p5(Y)) & (~p5(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p2(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p4(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p2(Y)) & (~p6(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p2(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p4(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p4(Y)) & (~p6(X))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(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)) | p4(Y))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p6(Y) | (~r1(X, Y))) & (~p6(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p6(Y) | (~r1(X, Y))) & (~p4(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p6(Y) | (~r1(X, Y))) & (~p2(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : (p6(X) | (~r1(Y, X))) & (~p6(Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(![X: $i] : (p6(X) | (~r1(Y, X))) & (~p4(Y))))))))),
% 1.05/0.95 inference(modus_ponens,[status(thm)],[10, 4])).
% 1.05/0.95 tff(12,plain,
% 1.05/0.95 (![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (~(p3(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) & (~((~r1(X!0, Y!2)) | p2(Y!2))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p6(Y) | (~r1(X, Y))))))) & (~((~r1(X!0, Y!3)) | p5(Y!3))) & (~((~r1(X!0, Y!4)) | p3(Y!4))) & (~((~r1(X!0, Y!5)) | p1(Y!5))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p6(X) | (~r1(Y, X)) | (~(p6(tptp_fun_Y_6(X)) | (~r1(X, tptp_fun_Y_6(X))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~(p6(tptp_fun_Y_6(X)) | (~r1(X, tptp_fun_Y_6(X))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~(p6(tptp_fun_Y_6(X)) | (~r1(X, tptp_fun_Y_6(X))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p6(Y) | (~r1(X, Y)) | (~(p6(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~(p6(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y)))))))) & ![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | p5(tptp_fun_X_8(Y))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y))))) & ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | (~(p3(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) & ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | p5(tptp_fun_X_8(Y))))) & ![Y: $i] : (p5(Y) | (~r1(X!0, Y)) | (~(p3(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) & ![Y: $i] : (p5(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_8(Y))) | p5(tptp_fun_X_8(Y))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_10(X))) | p1(tptp_fun_Y_10(X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_11(X))) | p3(tptp_fun_Y_11(X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_13(X))) | p5(tptp_fun_Y_13(X)))))) & ![Y: $i] : (p4(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_14(Y))) | p2(tptp_fun_X_14(Y))))) & ![Y: $i] : (p6(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_14(Y))) | p2(tptp_fun_X_14(Y))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p3(X) | (~((~r1(X, tptp_fun_Y_10(X))) | p1(tptp_fun_Y_10(X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p3(X) | (~((~r1(X, tptp_fun_Y_11(X))) | p3(tptp_fun_Y_11(X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p3(X) | (~((~r1(X, tptp_fun_Y_13(X))) | p5(tptp_fun_Y_13(X)))))) & ![Y: $i] : (p4(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_15(Y))) | p4(tptp_fun_X_15(Y))))) & ![Y: $i] : (p6(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_15(Y))) | p4(tptp_fun_X_15(Y))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~((~r1(X, tptp_fun_Y_10(X))) | p1(tptp_fun_Y_10(X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~((~r1(X, tptp_fun_Y_11(X))) | p3(tptp_fun_Y_11(X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~((~r1(X, tptp_fun_Y_13(X))) | p5(tptp_fun_Y_13(X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~(p3(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~((~r1(Y, tptp_fun_X_8(Y))) | p5(tptp_fun_X_8(Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(X, tptp_fun_Y_16(X))) | p2(tptp_fun_Y_16(X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~((~r1(X, tptp_fun_Y_16(X))) | p2(tptp_fun_Y_16(X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p6(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_16(X))) | p2(tptp_fun_Y_16(X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~(p3(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~((~r1(Y, tptp_fun_X_8(Y))) | p5(tptp_fun_X_8(Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p6(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p5(Y) | (~(p3(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p5(Y) | (~((~r1(Y, tptp_fun_X_8(Y))) | p5(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)) | p1(X) | (~((~r1(X, tptp_fun_Y_10(X))) | p1(tptp_fun_Y_10(X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_11(X))) | p3(tptp_fun_Y_11(X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_13(X))) | p5(tptp_fun_Y_13(X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_14(Y))) | p2(tptp_fun_X_14(Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p6(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_14(Y))) | p2(tptp_fun_X_14(Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p3(X) | (~((~r1(X, tptp_fun_Y_10(X))) | p1(tptp_fun_Y_10(X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p3(X) | (~((~r1(X, tptp_fun_Y_11(X))) | p3(tptp_fun_Y_11(X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p3(X) | (~((~r1(X, tptp_fun_Y_13(X))) | p5(tptp_fun_Y_13(X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~((~r1(Y, tptp_fun_X_15(Y))) | p4(tptp_fun_X_15(Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p6(Y) | (~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_15(Y))) | p4(tptp_fun_X_15(Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~((~r1(X, tptp_fun_Y_10(X))) | p1(tptp_fun_Y_10(X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~((~r1(X, tptp_fun_Y_11(X))) | p3(tptp_fun_Y_11(X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~((~r1(X, tptp_fun_Y_13(X))) | p5(tptp_fun_Y_13(X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(X, tptp_fun_Y_16(X))) | p2(tptp_fun_Y_16(X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~((~r1(X, tptp_fun_Y_16(X))) | p2(tptp_fun_Y_16(X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p6(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_16(X))) | p2(tptp_fun_Y_16(X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p6(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(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)) | p2(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)) | p4(Y)))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : (p6(X) | (~r1(Y, X)) | (~(p6(tptp_fun_Y_6(X)) | (~r1(X, tptp_fun_Y_6(X))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~(p6(tptp_fun_Y_6(X)) | (~r1(X, tptp_fun_Y_6(X))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~(p6(tptp_fun_Y_6(X)) | (~r1(X, tptp_fun_Y_6(X))))))) & ![Y: $i] : (p6(Y) | (~r1(X!0, Y)) | (~(p6(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y)))))) & ![Y: $i] : (p4(Y) | (~r1(X!0, Y)) | (~(p6(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))))))),
% 1.05/0.96 inference(modus_ponens,[status(thm)],[11, 3])).
% 1.05/0.96 tff(13,plain,
% 1.05/0.96 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y)))))),
% 1.05/0.96 inference(and_elim,[status(thm)],[12])).
% 1.05/0.96 tff(14,plain,
% 1.05/0.96 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y)))))),
% 1.05/0.96 inference(modus_ponens,[status(thm)],[13, 2])).
% 1.05/0.96 tff(15,plain,
% 1.05/0.96 (~((~r1(X!0, Y!2)) | p2(Y!2))),
% 1.05/0.96 inference(and_elim,[status(thm)],[12])).
% 1.05/0.96 tff(16,plain,
% 1.05/0.96 (~p2(Y!2)),
% 1.05/0.96 inference(or_elim,[status(thm)],[15])).
% 1.05/0.96 tff(17,plain,
% 1.05/0.96 (r1(X!0, Y!2)),
% 1.05/0.96 inference(or_elim,[status(thm)],[15])).
% 1.05/0.96 tff(18,plain,
% 1.05/0.96 (((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y)))))) | (p2(Y!2) | (~r1(X!0, Y!2)) | (~((~r1(Y!2, tptp_fun_X_9(Y!2))) | p1(tptp_fun_X_9(Y!2)))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y)))))) | p2(Y!2) | (~r1(X!0, Y!2)) | (~((~r1(Y!2, tptp_fun_X_9(Y!2))) | p1(tptp_fun_X_9(Y!2)))))),
% 1.05/0.96 inference(rewrite,[status(thm)],[])).
% 1.05/0.96 tff(19,plain,
% 1.05/0.96 ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y)))))) | (p2(Y!2) | (~r1(X!0, Y!2)) | (~((~r1(Y!2, tptp_fun_X_9(Y!2))) | p1(tptp_fun_X_9(Y!2)))))),
% 1.05/0.96 inference(quant_inst,[status(thm)],[])).
% 1.05/0.96 tff(20,plain,
% 1.05/0.96 ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y)))))) | p2(Y!2) | (~r1(X!0, Y!2)) | (~((~r1(Y!2, tptp_fun_X_9(Y!2))) | p1(tptp_fun_X_9(Y!2))))),
% 1.05/0.96 inference(modus_ponens,[status(thm)],[19, 18])).
% 1.05/0.96 tff(21,plain,
% 1.05/0.96 (~((~r1(Y!2, tptp_fun_X_9(Y!2))) | p1(tptp_fun_X_9(Y!2)))),
% 1.05/0.96 inference(unit_resolution,[status(thm)],[20, 17, 16, 14])).
% 1.05/0.96 tff(22,plain,
% 1.05/0.96 (((~r1(Y!2, tptp_fun_X_9(Y!2))) | p1(tptp_fun_X_9(Y!2))) | r1(Y!2, tptp_fun_X_9(Y!2))),
% 1.05/0.96 inference(tautology,[status(thm)],[])).
% 1.05/0.96 tff(23,plain,
% 1.05/0.96 (r1(Y!2, tptp_fun_X_9(Y!2))),
% 1.05/0.96 inference(unit_resolution,[status(thm)],[22, 21])).
% 1.05/0.96 tff(24,plain,
% 1.05/0.96 (^[Y: $i] : refl(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y))))))))),
% 1.05/0.96 inference(bind,[status(th)],[])).
% 1.05/0.96 tff(25,plain,
% 1.05/0.96 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y)))))))),
% 1.05/0.96 inference(quant_intro,[status(thm)],[24])).
% 1.05/0.96 tff(26,plain,
% 1.05/0.96 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y))))))))),
% 1.05/0.96 inference(bind,[status(th)],[])).
% 1.05/0.96 tff(27,plain,
% 1.05/0.96 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y)))))))),
% 1.05/0.96 inference(quant_intro,[status(thm)],[26])).
% 1.05/0.96 tff(28,plain,
% 1.05/0.96 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y)))))))),
% 1.05/0.96 inference(transitivity,[status(thm)],[27, 25])).
% 1.05/0.96 tff(29,plain,
% 1.05/0.96 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y)))))))),
% 1.05/0.96 inference(and_elim,[status(thm)],[12])).
% 1.05/0.96 tff(30,plain,
% 1.05/0.96 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y)))))))),
% 1.05/0.96 inference(modus_ponens,[status(thm)],[29, 28])).
% 1.05/0.96 tff(31,plain,
% 1.05/0.96 (((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y)))))))) | ((~r1(X!0, Y!2)) | ![X: $i] : ((~r1(Y!2, X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y)))))))) <=> ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y)))))))) | (~r1(X!0, Y!2)) | ![X: $i] : ((~r1(Y!2, X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y)))))))),
% 1.05/0.96 inference(rewrite,[status(thm)],[])).
% 1.05/0.96 tff(32,plain,
% 1.05/0.96 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y)))))))) | ((~r1(X!0, Y!2)) | ![X: $i] : ((~r1(Y!2, X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y)))))))),
% 1.05/0.96 inference(quant_inst,[status(thm)],[])).
% 1.05/0.96 tff(33,plain,
% 1.05/0.96 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y)))))))) | (~r1(X!0, Y!2)) | ![X: $i] : ((~r1(Y!2, X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y))))))),
% 1.05/0.96 inference(modus_ponens,[status(thm)],[32, 31])).
% 1.05/0.96 tff(34,plain,
% 1.05/0.96 (![X: $i] : ((~r1(Y!2, X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y))))))),
% 1.05/0.96 inference(unit_resolution,[status(thm)],[33, 17, 30])).
% 1.05/0.96 tff(35,plain,
% 1.05/0.96 (((~![X: $i] : ((~r1(Y!2, X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y))))))) | ((~r1(Y!2, tptp_fun_X_9(Y!2))) | ![Y: $i] : (p4(Y) | (~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y)))) | (~r1(tptp_fun_X_9(Y!2), Y))))) <=> ((~![X: $i] : ((~r1(Y!2, X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y))))))) | (~r1(Y!2, tptp_fun_X_9(Y!2))) | ![Y: $i] : (p4(Y) | (~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y)))) | (~r1(tptp_fun_X_9(Y!2), Y))))),
% 1.05/0.96 inference(rewrite,[status(thm)],[])).
% 1.05/0.96 tff(36,plain,
% 1.05/0.96 (((~r1(Y!2, tptp_fun_X_9(Y!2))) | ![Y: $i] : ((~r1(tptp_fun_X_9(Y!2), Y)) | p4(Y) | (~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y)))))) <=> ((~r1(Y!2, tptp_fun_X_9(Y!2))) | ![Y: $i] : (p4(Y) | (~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y)))) | (~r1(tptp_fun_X_9(Y!2), Y))))),
% 1.05/0.96 inference(rewrite,[status(thm)],[])).
% 1.05/0.96 tff(37,plain,
% 1.05/0.96 (((~![X: $i] : ((~r1(Y!2, X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y))))))) | ((~r1(Y!2, tptp_fun_X_9(Y!2))) | ![Y: $i] : ((~r1(tptp_fun_X_9(Y!2), Y)) | p4(Y) | (~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y))))))) <=> ((~![X: $i] : ((~r1(Y!2, X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y))))))) | ((~r1(Y!2, tptp_fun_X_9(Y!2))) | ![Y: $i] : (p4(Y) | (~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y)))) | (~r1(tptp_fun_X_9(Y!2), Y)))))),
% 1.05/0.96 inference(monotonicity,[status(thm)],[36])).
% 1.05/0.96 tff(38,plain,
% 1.05/0.96 (((~![X: $i] : ((~r1(Y!2, X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y))))))) | ((~r1(Y!2, tptp_fun_X_9(Y!2))) | ![Y: $i] : ((~r1(tptp_fun_X_9(Y!2), Y)) | p4(Y) | (~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y))))))) <=> ((~![X: $i] : ((~r1(Y!2, X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y))))))) | (~r1(Y!2, tptp_fun_X_9(Y!2))) | ![Y: $i] : (p4(Y) | (~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y)))) | (~r1(tptp_fun_X_9(Y!2), Y))))),
% 1.05/0.96 inference(transitivity,[status(thm)],[37, 35])).
% 1.05/0.96 tff(39,plain,
% 1.05/0.96 ((~![X: $i] : ((~r1(Y!2, X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y))))))) | ((~r1(Y!2, tptp_fun_X_9(Y!2))) | ![Y: $i] : ((~r1(tptp_fun_X_9(Y!2), Y)) | p4(Y) | (~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y))))))),
% 1.05/0.96 inference(quant_inst,[status(thm)],[])).
% 1.05/0.96 tff(40,plain,
% 1.05/0.96 ((~![X: $i] : ((~r1(Y!2, X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y))))))) | (~r1(Y!2, tptp_fun_X_9(Y!2))) | ![Y: $i] : (p4(Y) | (~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y)))) | (~r1(tptp_fun_X_9(Y!2), Y)))),
% 1.05/0.96 inference(modus_ponens,[status(thm)],[39, 38])).
% 1.05/0.96 tff(41,plain,
% 1.05/0.96 (![Y: $i] : (p4(Y) | (~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y)))) | (~r1(tptp_fun_X_9(Y!2), Y)))),
% 1.05/0.96 inference(unit_resolution,[status(thm)],[40, 34, 23])).
% 1.05/0.96 tff(42,plain,
% 1.05/0.96 (((~r1(Y!2, tptp_fun_X_9(Y!2))) | p1(tptp_fun_X_9(Y!2))) | (~p1(tptp_fun_X_9(Y!2)))),
% 1.05/0.96 inference(tautology,[status(thm)],[])).
% 1.05/0.96 tff(43,plain,
% 1.05/0.96 (~p1(tptp_fun_X_9(Y!2))),
% 1.05/0.96 inference(unit_resolution,[status(thm)],[42, 21])).
% 1.05/0.96 tff(44,plain,
% 1.05/0.96 (^[Y: $i] : refl(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))))))),
% 1.05/0.96 inference(bind,[status(th)],[])).
% 1.05/0.96 tff(45,plain,
% 1.05/0.96 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X))))))),
% 1.05/0.96 inference(quant_intro,[status(thm)],[44])).
% 1.05/0.96 tff(46,plain,
% 1.05/0.96 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))))))),
% 1.05/0.96 inference(bind,[status(th)],[])).
% 1.05/0.96 tff(47,plain,
% 1.05/0.96 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X))))))),
% 1.05/0.96 inference(quant_intro,[status(thm)],[46])).
% 1.05/0.96 tff(48,plain,
% 1.05/0.96 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X))))))),
% 1.05/0.96 inference(transitivity,[status(thm)],[47, 45])).
% 1.05/0.96 tff(49,plain,
% 1.05/0.96 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X))))))),
% 1.05/0.96 inference(and_elim,[status(thm)],[12])).
% 1.05/0.96 tff(50,plain,
% 1.05/0.96 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X))))))),
% 1.05/0.96 inference(modus_ponens,[status(thm)],[49, 48])).
% 1.05/0.96 tff(51,plain,
% 1.05/0.96 (((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X))))))) | ((~r1(X!0, Y!2)) | ![X: $i] : (p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))) | (~r1(Y!2, X))))) <=> ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X))))))) | (~r1(X!0, Y!2)) | ![X: $i] : (p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))) | (~r1(Y!2, X))))),
% 1.05/0.96 inference(rewrite,[status(thm)],[])).
% 1.05/0.96 tff(52,plain,
% 1.05/0.96 (((~r1(X!0, Y!2)) | ![X: $i] : ((~r1(Y!2, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))))) <=> ((~r1(X!0, Y!2)) | ![X: $i] : (p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))) | (~r1(Y!2, X))))),
% 1.05/0.96 inference(rewrite,[status(thm)],[])).
% 1.05/0.96 tff(53,plain,
% 1.05/0.96 (((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X))))))) | ((~r1(X!0, Y!2)) | ![X: $i] : ((~r1(Y!2, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X))))))) <=> ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X))))))) | ((~r1(X!0, Y!2)) | ![X: $i] : (p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))) | (~r1(Y!2, X)))))),
% 1.05/0.96 inference(monotonicity,[status(thm)],[52])).
% 1.05/0.96 tff(54,plain,
% 1.05/0.96 (((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X))))))) | ((~r1(X!0, Y!2)) | ![X: $i] : ((~r1(Y!2, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X))))))) <=> ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X))))))) | (~r1(X!0, Y!2)) | ![X: $i] : (p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))) | (~r1(Y!2, X))))),
% 1.05/0.96 inference(transitivity,[status(thm)],[53, 51])).
% 1.05/0.96 tff(55,plain,
% 1.05/0.96 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X))))))) | ((~r1(X!0, Y!2)) | ![X: $i] : ((~r1(Y!2, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X))))))),
% 1.05/0.96 inference(quant_inst,[status(thm)],[])).
% 1.05/0.96 tff(56,plain,
% 1.05/0.96 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X))))))) | (~r1(X!0, Y!2)) | ![X: $i] : (p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))) | (~r1(Y!2, X)))),
% 1.05/0.96 inference(modus_ponens,[status(thm)],[55, 54])).
% 1.05/0.96 tff(57,plain,
% 1.05/0.96 (![X: $i] : (p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))) | (~r1(Y!2, X)))),
% 1.05/0.96 inference(unit_resolution,[status(thm)],[56, 17, 50])).
% 1.05/0.96 tff(58,plain,
% 1.05/0.96 (((~![X: $i] : (p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))) | (~r1(Y!2, X)))) | ((~r1(Y!2, tptp_fun_X_9(Y!2))) | p1(tptp_fun_X_9(Y!2)) | (~((~r1(tptp_fun_X_9(Y!2), tptp_fun_Y_12(tptp_fun_X_9(Y!2)))) | p4(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))))) <=> ((~![X: $i] : (p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))) | (~r1(Y!2, X)))) | (~r1(Y!2, tptp_fun_X_9(Y!2))) | p1(tptp_fun_X_9(Y!2)) | (~((~r1(tptp_fun_X_9(Y!2), tptp_fun_Y_12(tptp_fun_X_9(Y!2)))) | p4(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))))),
% 1.05/0.96 inference(rewrite,[status(thm)],[])).
% 1.05/0.96 tff(59,plain,
% 1.05/0.96 ((p1(tptp_fun_X_9(Y!2)) | (~((~r1(tptp_fun_X_9(Y!2), tptp_fun_Y_12(tptp_fun_X_9(Y!2)))) | p4(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))) | (~r1(Y!2, tptp_fun_X_9(Y!2)))) <=> ((~r1(Y!2, tptp_fun_X_9(Y!2))) | p1(tptp_fun_X_9(Y!2)) | (~((~r1(tptp_fun_X_9(Y!2), tptp_fun_Y_12(tptp_fun_X_9(Y!2)))) | p4(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))))),
% 1.05/0.96 inference(rewrite,[status(thm)],[])).
% 1.05/0.96 tff(60,plain,
% 1.05/0.96 ((~((~r1(tptp_fun_X_9(Y!2), tptp_fun_Y_12(tptp_fun_X_9(Y!2)))) | p4(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))) <=> (~((~r1(tptp_fun_X_9(Y!2), tptp_fun_Y_12(tptp_fun_X_9(Y!2)))) | p4(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))))),
% 1.05/0.96 inference(rewrite,[status(thm)],[])).
% 1.05/0.96 tff(61,plain,
% 1.05/0.96 ((p1(tptp_fun_X_9(Y!2)) | (~((~r1(tptp_fun_X_9(Y!2), tptp_fun_Y_12(tptp_fun_X_9(Y!2)))) | p4(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))) | (~r1(Y!2, tptp_fun_X_9(Y!2)))) <=> (p1(tptp_fun_X_9(Y!2)) | (~((~r1(tptp_fun_X_9(Y!2), tptp_fun_Y_12(tptp_fun_X_9(Y!2)))) | p4(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))) | (~r1(Y!2, tptp_fun_X_9(Y!2))))),
% 1.05/0.96 inference(monotonicity,[status(thm)],[60])).
% 1.05/0.96 tff(62,plain,
% 1.05/0.96 ((p1(tptp_fun_X_9(Y!2)) | (~((~r1(tptp_fun_X_9(Y!2), tptp_fun_Y_12(tptp_fun_X_9(Y!2)))) | p4(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))) | (~r1(Y!2, tptp_fun_X_9(Y!2)))) <=> ((~r1(Y!2, tptp_fun_X_9(Y!2))) | p1(tptp_fun_X_9(Y!2)) | (~((~r1(tptp_fun_X_9(Y!2), tptp_fun_Y_12(tptp_fun_X_9(Y!2)))) | p4(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))))),
% 1.05/0.96 inference(transitivity,[status(thm)],[61, 59])).
% 1.05/0.96 tff(63,plain,
% 1.05/0.96 (((~![X: $i] : (p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))) | (~r1(Y!2, X)))) | (p1(tptp_fun_X_9(Y!2)) | (~((~r1(tptp_fun_X_9(Y!2), tptp_fun_Y_12(tptp_fun_X_9(Y!2)))) | p4(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))) | (~r1(Y!2, tptp_fun_X_9(Y!2))))) <=> ((~![X: $i] : (p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))) | (~r1(Y!2, X)))) | ((~r1(Y!2, tptp_fun_X_9(Y!2))) | p1(tptp_fun_X_9(Y!2)) | (~((~r1(tptp_fun_X_9(Y!2), tptp_fun_Y_12(tptp_fun_X_9(Y!2)))) | p4(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))))))),
% 1.05/0.96 inference(monotonicity,[status(thm)],[62])).
% 1.05/0.96 tff(64,plain,
% 1.05/0.96 (((~![X: $i] : (p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))) | (~r1(Y!2, X)))) | (p1(tptp_fun_X_9(Y!2)) | (~((~r1(tptp_fun_X_9(Y!2), tptp_fun_Y_12(tptp_fun_X_9(Y!2)))) | p4(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))) | (~r1(Y!2, tptp_fun_X_9(Y!2))))) <=> ((~![X: $i] : (p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))) | (~r1(Y!2, X)))) | (~r1(Y!2, tptp_fun_X_9(Y!2))) | p1(tptp_fun_X_9(Y!2)) | (~((~r1(tptp_fun_X_9(Y!2), tptp_fun_Y_12(tptp_fun_X_9(Y!2)))) | p4(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))))),
% 1.05/0.96 inference(transitivity,[status(thm)],[63, 58])).
% 1.05/0.96 tff(65,plain,
% 1.05/0.96 ((~![X: $i] : (p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))) | (~r1(Y!2, X)))) | (p1(tptp_fun_X_9(Y!2)) | (~((~r1(tptp_fun_X_9(Y!2), tptp_fun_Y_12(tptp_fun_X_9(Y!2)))) | p4(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))) | (~r1(Y!2, tptp_fun_X_9(Y!2))))),
% 1.05/0.96 inference(quant_inst,[status(thm)],[])).
% 1.05/0.96 tff(66,plain,
% 1.05/0.96 ((~![X: $i] : (p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))) | (~r1(Y!2, X)))) | (~r1(Y!2, tptp_fun_X_9(Y!2))) | p1(tptp_fun_X_9(Y!2)) | (~((~r1(tptp_fun_X_9(Y!2), tptp_fun_Y_12(tptp_fun_X_9(Y!2)))) | p4(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))))),
% 1.05/0.96 inference(modus_ponens,[status(thm)],[65, 64])).
% 1.05/0.96 tff(67,plain,
% 1.05/0.96 (~((~r1(tptp_fun_X_9(Y!2), tptp_fun_Y_12(tptp_fun_X_9(Y!2)))) | p4(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))),
% 1.05/0.96 inference(unit_resolution,[status(thm)],[66, 57, 23, 43])).
% 1.05/0.96 tff(68,plain,
% 1.05/0.96 (((~r1(tptp_fun_X_9(Y!2), tptp_fun_Y_12(tptp_fun_X_9(Y!2)))) | p4(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))) | (~p4(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))),
% 1.05/0.96 inference(tautology,[status(thm)],[])).
% 1.05/0.96 tff(69,plain,
% 1.05/0.96 (~p4(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))),
% 1.05/0.96 inference(unit_resolution,[status(thm)],[68, 67])).
% 1.05/0.96 tff(70,plain,
% 1.05/0.96 (((~r1(tptp_fun_X_9(Y!2), tptp_fun_Y_12(tptp_fun_X_9(Y!2)))) | p4(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))) | r1(tptp_fun_X_9(Y!2), tptp_fun_Y_12(tptp_fun_X_9(Y!2)))),
% 1.05/0.96 inference(tautology,[status(thm)],[])).
% 1.05/0.96 tff(71,plain,
% 1.05/0.96 (r1(tptp_fun_X_9(Y!2), tptp_fun_Y_12(tptp_fun_X_9(Y!2)))),
% 1.05/0.96 inference(unit_resolution,[status(thm)],[70, 67])).
% 1.05/0.96 tff(72,plain,
% 1.05/0.96 (((~![Y: $i] : (p4(Y) | (~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y)))) | (~r1(tptp_fun_X_9(Y!2), Y)))) | ((~r1(tptp_fun_X_9(Y!2), tptp_fun_Y_12(tptp_fun_X_9(Y!2)))) | p4(tptp_fun_Y_12(tptp_fun_X_9(Y!2))) | (~((~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))) | p1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))))))) <=> ((~![Y: $i] : (p4(Y) | (~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y)))) | (~r1(tptp_fun_X_9(Y!2), Y)))) | (~r1(tptp_fun_X_9(Y!2), tptp_fun_Y_12(tptp_fun_X_9(Y!2)))) | p4(tptp_fun_Y_12(tptp_fun_X_9(Y!2))) | (~((~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))) | p1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))))))),
% 1.05/0.96 inference(rewrite,[status(thm)],[])).
% 1.05/0.96 tff(73,plain,
% 1.05/0.96 ((p4(tptp_fun_Y_12(tptp_fun_X_9(Y!2))) | (~((~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))) | p1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))))) | (~r1(tptp_fun_X_9(Y!2), tptp_fun_Y_12(tptp_fun_X_9(Y!2))))) <=> ((~r1(tptp_fun_X_9(Y!2), tptp_fun_Y_12(tptp_fun_X_9(Y!2)))) | p4(tptp_fun_Y_12(tptp_fun_X_9(Y!2))) | (~((~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))) | p1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))))))),
% 1.05/0.96 inference(rewrite,[status(thm)],[])).
% 1.05/0.96 tff(74,plain,
% 1.05/0.96 ((~((~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))) | p1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))))) <=> (~((~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))) | p1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))))),
% 1.05/0.96 inference(rewrite,[status(thm)],[])).
% 1.05/0.96 tff(75,plain,
% 1.05/0.96 ((p4(tptp_fun_Y_12(tptp_fun_X_9(Y!2))) | (~((~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))) | p1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))))) | (~r1(tptp_fun_X_9(Y!2), tptp_fun_Y_12(tptp_fun_X_9(Y!2))))) <=> (p4(tptp_fun_Y_12(tptp_fun_X_9(Y!2))) | (~((~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))) | p1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))))) | (~r1(tptp_fun_X_9(Y!2), tptp_fun_Y_12(tptp_fun_X_9(Y!2)))))),
% 1.05/0.96 inference(monotonicity,[status(thm)],[74])).
% 1.05/0.96 tff(76,plain,
% 1.05/0.96 ((p4(tptp_fun_Y_12(tptp_fun_X_9(Y!2))) | (~((~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))) | p1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))))) | (~r1(tptp_fun_X_9(Y!2), tptp_fun_Y_12(tptp_fun_X_9(Y!2))))) <=> ((~r1(tptp_fun_X_9(Y!2), tptp_fun_Y_12(tptp_fun_X_9(Y!2)))) | p4(tptp_fun_Y_12(tptp_fun_X_9(Y!2))) | (~((~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))) | p1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))))))),
% 1.05/0.97 inference(transitivity,[status(thm)],[75, 73])).
% 1.05/0.97 tff(77,plain,
% 1.05/0.97 (((~![Y: $i] : (p4(Y) | (~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y)))) | (~r1(tptp_fun_X_9(Y!2), Y)))) | (p4(tptp_fun_Y_12(tptp_fun_X_9(Y!2))) | (~((~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))) | p1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))))) | (~r1(tptp_fun_X_9(Y!2), tptp_fun_Y_12(tptp_fun_X_9(Y!2)))))) <=> ((~![Y: $i] : (p4(Y) | (~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y)))) | (~r1(tptp_fun_X_9(Y!2), Y)))) | ((~r1(tptp_fun_X_9(Y!2), tptp_fun_Y_12(tptp_fun_X_9(Y!2)))) | p4(tptp_fun_Y_12(tptp_fun_X_9(Y!2))) | (~((~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))) | p1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))))))),
% 1.05/0.97 inference(monotonicity,[status(thm)],[76])).
% 1.05/0.97 tff(78,plain,
% 1.05/0.97 (((~![Y: $i] : (p4(Y) | (~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y)))) | (~r1(tptp_fun_X_9(Y!2), Y)))) | (p4(tptp_fun_Y_12(tptp_fun_X_9(Y!2))) | (~((~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))) | p1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))))) | (~r1(tptp_fun_X_9(Y!2), tptp_fun_Y_12(tptp_fun_X_9(Y!2)))))) <=> ((~![Y: $i] : (p4(Y) | (~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y)))) | (~r1(tptp_fun_X_9(Y!2), Y)))) | (~r1(tptp_fun_X_9(Y!2), tptp_fun_Y_12(tptp_fun_X_9(Y!2)))) | p4(tptp_fun_Y_12(tptp_fun_X_9(Y!2))) | (~((~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))) | p1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))))))),
% 1.05/0.97 inference(transitivity,[status(thm)],[77, 72])).
% 1.05/0.97 tff(79,plain,
% 1.05/0.97 ((~![Y: $i] : (p4(Y) | (~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y)))) | (~r1(tptp_fun_X_9(Y!2), Y)))) | (p4(tptp_fun_Y_12(tptp_fun_X_9(Y!2))) | (~((~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))) | p1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))))) | (~r1(tptp_fun_X_9(Y!2), tptp_fun_Y_12(tptp_fun_X_9(Y!2)))))),
% 1.05/0.97 inference(quant_inst,[status(thm)],[])).
% 1.05/0.97 tff(80,plain,
% 1.05/0.97 ((~![Y: $i] : (p4(Y) | (~((~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_X_9(Y)))) | (~r1(tptp_fun_X_9(Y!2), Y)))) | (~r1(tptp_fun_X_9(Y!2), tptp_fun_Y_12(tptp_fun_X_9(Y!2)))) | p4(tptp_fun_Y_12(tptp_fun_X_9(Y!2))) | (~((~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))) | p1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))))),
% 1.05/0.97 inference(modus_ponens,[status(thm)],[79, 78])).
% 1.05/0.97 tff(81,plain,
% 1.05/0.97 (~((~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))) | p1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))))),
% 1.05/0.97 inference(unit_resolution,[status(thm)],[80, 71, 69, 41])).
% 1.05/0.97 tff(82,plain,
% 1.05/0.97 (((~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))) | p1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))) | r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))),
% 1.05/0.97 inference(tautology,[status(thm)],[])).
% 1.05/0.97 tff(83,plain,
% 1.05/0.97 (r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))),
% 1.05/0.97 inference(unit_resolution,[status(thm)],[82, 81])).
% 1.05/0.97 tff(84,plain,
% 1.05/0.97 (^[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)) | p4(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)) | p4(Y)))))))),
% 1.05/0.97 inference(bind,[status(th)],[])).
% 1.05/0.97 tff(85,plain,
% 1.05/0.97 (![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)) | p4(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)) | p4(Y))))))),
% 1.05/0.97 inference(quant_intro,[status(thm)],[84])).
% 1.05/0.97 tff(86,plain,
% 1.05/0.97 (^[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)) | p4(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)) | p4(Y)))))))),
% 1.05/0.97 inference(bind,[status(th)],[])).
% 1.05/0.97 tff(87,plain,
% 1.05/0.97 (![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)) | p4(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)) | p4(Y))))))),
% 1.05/0.97 inference(quant_intro,[status(thm)],[86])).
% 1.05/0.97 tff(88,plain,
% 1.05/0.97 (![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)) | p4(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)) | p4(Y))))))),
% 1.05/0.97 inference(transitivity,[status(thm)],[87, 85])).
% 1.05/0.97 tff(89,plain,
% 1.05/0.97 (![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)) | p4(Y))))))),
% 1.05/0.97 inference(and_elim,[status(thm)],[12])).
% 1.05/0.97 tff(90,plain,
% 1.05/0.97 (![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)) | p4(Y))))))),
% 1.05/0.97 inference(modus_ponens,[status(thm)],[89, 88])).
% 1.05/0.97 tff(91,plain,
% 1.05/0.97 (((~![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)) | p4(Y))))))) | ((~r1(X!0, Y!2)) | ![X: $i] : ((~r1(Y!2, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p4(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)) | p4(Y))))))) | (~r1(X!0, Y!2)) | ![X: $i] : ((~r1(Y!2, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y))))))),
% 1.05/0.97 inference(rewrite,[status(thm)],[])).
% 1.05/0.97 tff(92,plain,
% 1.05/0.97 ((~![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)) | p4(Y))))))) | ((~r1(X!0, Y!2)) | ![X: $i] : ((~r1(Y!2, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y))))))),
% 1.05/0.97 inference(quant_inst,[status(thm)],[])).
% 1.05/0.97 tff(93,plain,
% 1.05/0.97 ((~![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)) | p4(Y))))))) | (~r1(X!0, Y!2)) | ![X: $i] : ((~r1(Y!2, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y)))))),
% 1.05/0.97 inference(modus_ponens,[status(thm)],[92, 91])).
% 1.05/0.97 tff(94,plain,
% 1.05/0.97 (![X: $i] : ((~r1(Y!2, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y)))))),
% 1.05/0.97 inference(unit_resolution,[status(thm)],[93, 17, 90])).
% 1.05/0.97 tff(95,plain,
% 1.05/0.97 (((~![X: $i] : ((~r1(Y!2, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y)))))) | ((~r1(Y!2, tptp_fun_X_9(Y!2))) | ![Y: $i] : ((~r1(tptp_fun_X_9(Y!2), Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y)))))) <=> ((~![X: $i] : ((~r1(Y!2, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y)))))) | (~r1(Y!2, tptp_fun_X_9(Y!2))) | ![Y: $i] : ((~r1(tptp_fun_X_9(Y!2), Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y)))))),
% 1.05/0.97 inference(rewrite,[status(thm)],[])).
% 1.05/0.97 tff(96,plain,
% 1.05/0.97 ((~![X: $i] : ((~r1(Y!2, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y)))))) | ((~r1(Y!2, tptp_fun_X_9(Y!2))) | ![Y: $i] : ((~r1(tptp_fun_X_9(Y!2), Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y)))))),
% 1.05/0.97 inference(quant_inst,[status(thm)],[])).
% 1.05/0.97 tff(97,plain,
% 1.05/0.97 ((~![X: $i] : ((~r1(Y!2, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y)))))) | (~r1(Y!2, tptp_fun_X_9(Y!2))) | ![Y: $i] : ((~r1(tptp_fun_X_9(Y!2), Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y))))),
% 1.05/0.97 inference(modus_ponens,[status(thm)],[96, 95])).
% 1.05/0.97 tff(98,plain,
% 1.05/0.97 (![Y: $i] : ((~r1(tptp_fun_X_9(Y!2), Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y))))),
% 1.05/0.97 inference(unit_resolution,[status(thm)],[97, 94, 23])).
% 1.05/0.97 tff(99,plain,
% 1.05/0.97 (((~![Y: $i] : ((~r1(tptp_fun_X_9(Y!2), Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y))))) | ((~r1(tptp_fun_X_9(Y!2), tptp_fun_Y_12(tptp_fun_X_9(Y!2)))) | ![X: $i] : ((~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y))))) <=> ((~![Y: $i] : ((~r1(tptp_fun_X_9(Y!2), Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y))))) | (~r1(tptp_fun_X_9(Y!2), tptp_fun_Y_12(tptp_fun_X_9(Y!2)))) | ![X: $i] : ((~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y))))),
% 1.05/0.97 inference(rewrite,[status(thm)],[])).
% 1.05/0.97 tff(100,plain,
% 1.05/0.97 ((~![Y: $i] : ((~r1(tptp_fun_X_9(Y!2), Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y))))) | ((~r1(tptp_fun_X_9(Y!2), tptp_fun_Y_12(tptp_fun_X_9(Y!2)))) | ![X: $i] : ((~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y))))),
% 1.05/0.97 inference(quant_inst,[status(thm)],[])).
% 1.05/0.97 tff(101,plain,
% 1.05/0.97 ((~![Y: $i] : ((~r1(tptp_fun_X_9(Y!2), Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y))))) | (~r1(tptp_fun_X_9(Y!2), tptp_fun_Y_12(tptp_fun_X_9(Y!2)))) | ![X: $i] : ((~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y)))),
% 1.05/0.97 inference(modus_ponens,[status(thm)],[100, 99])).
% 1.05/0.97 tff(102,plain,
% 1.05/0.97 (![X: $i] : ((~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y)))),
% 1.05/0.97 inference(unit_resolution,[status(thm)],[101, 71, 98])).
% 1.05/0.97 tff(103,plain,
% 1.05/0.97 (((~![X: $i] : ((~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y)))) | ((~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))) | ![Y: $i] : (p4(Y) | (~r1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))), Y))))) <=> ((~![X: $i] : ((~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y)))) | (~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))) | ![Y: $i] : (p4(Y) | (~r1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))), Y))))),
% 1.05/0.97 inference(rewrite,[status(thm)],[])).
% 1.05/0.97 tff(104,plain,
% 1.05/0.97 (((~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))) | ![Y: $i] : ((~r1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))), Y)) | p4(Y))) <=> ((~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))) | ![Y: $i] : (p4(Y) | (~r1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))), Y))))),
% 1.05/0.97 inference(rewrite,[status(thm)],[])).
% 1.05/0.97 tff(105,plain,
% 1.05/0.97 (((~![X: $i] : ((~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y)))) | ((~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))) | ![Y: $i] : ((~r1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))), Y)) | p4(Y)))) <=> ((~![X: $i] : ((~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y)))) | ((~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))) | ![Y: $i] : (p4(Y) | (~r1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))), Y)))))),
% 1.05/0.97 inference(monotonicity,[status(thm)],[104])).
% 1.05/0.97 tff(106,plain,
% 1.05/0.97 (((~![X: $i] : ((~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y)))) | ((~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))) | ![Y: $i] : ((~r1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))), Y)) | p4(Y)))) <=> ((~![X: $i] : ((~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y)))) | (~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))) | ![Y: $i] : (p4(Y) | (~r1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))), Y))))),
% 1.05/0.97 inference(transitivity,[status(thm)],[105, 103])).
% 1.05/0.97 tff(107,plain,
% 1.05/0.97 ((~![X: $i] : ((~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y)))) | ((~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))) | ![Y: $i] : ((~r1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))), Y)) | p4(Y)))),
% 1.05/0.97 inference(quant_inst,[status(thm)],[])).
% 1.05/0.97 tff(108,plain,
% 1.05/0.97 ((~![X: $i] : ((~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y)))) | (~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))) | ![Y: $i] : (p4(Y) | (~r1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))), Y)))),
% 1.05/0.97 inference(modus_ponens,[status(thm)],[107, 106])).
% 1.05/0.97 tff(109,plain,
% 1.05/0.97 (![Y: $i] : (p4(Y) | (~r1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))), Y)))),
% 1.05/0.97 inference(unit_resolution,[status(thm)],[108, 102, 83])).
% 1.05/0.97 tff(110,plain,
% 1.05/0.97 (((~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))) | p1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))) | (~p1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))))),
% 1.05/0.97 inference(tautology,[status(thm)],[])).
% 1.05/0.97 tff(111,plain,
% 1.05/0.97 (~p1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))),
% 1.05/0.97 inference(unit_resolution,[status(thm)],[110, 81])).
% 1.05/0.97 tff(112,plain,
% 1.05/0.97 (^[Y: $i] : refl(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))))))))),
% 1.05/0.97 inference(bind,[status(th)],[])).
% 1.05/0.97 tff(113,plain,
% 1.05/0.97 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X))))))))),
% 1.05/0.97 inference(quant_intro,[status(thm)],[112])).
% 1.05/0.97 tff(114,plain,
% 1.05/0.97 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))))))))),
% 1.05/0.97 inference(bind,[status(th)],[])).
% 1.05/0.97 tff(115,plain,
% 1.05/0.97 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X))))))))),
% 1.05/0.97 inference(quant_intro,[status(thm)],[114])).
% 1.05/0.97 tff(116,plain,
% 1.05/0.97 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X))))))))),
% 1.05/0.97 inference(transitivity,[status(thm)],[115, 113])).
% 1.05/0.97 tff(117,plain,
% 1.05/0.97 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X))))))))),
% 1.05/0.97 inference(and_elim,[status(thm)],[12])).
% 1.05/0.97 tff(118,plain,
% 1.05/0.97 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X))))))))),
% 1.05/0.97 inference(modus_ponens,[status(thm)],[117, 116])).
% 1.05/0.97 tff(119,plain,
% 1.05/0.97 (((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X))))))))) | ((~r1(X!0, Y!2)) | ![X: $i] : ((~r1(Y!2, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X))))))))) <=> ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X))))))))) | (~r1(X!0, Y!2)) | ![X: $i] : ((~r1(Y!2, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X))))))))),
% 1.05/0.97 inference(rewrite,[status(thm)],[])).
% 1.05/0.97 tff(120,plain,
% 1.05/0.97 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X))))))))) | ((~r1(X!0, Y!2)) | ![X: $i] : ((~r1(Y!2, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X))))))))),
% 1.05/0.97 inference(quant_inst,[status(thm)],[])).
% 1.05/0.97 tff(121,plain,
% 1.05/0.97 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X))))))))) | (~r1(X!0, Y!2)) | ![X: $i] : ((~r1(Y!2, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))))))),
% 1.05/0.97 inference(modus_ponens,[status(thm)],[120, 119])).
% 1.05/0.97 tff(122,plain,
% 1.05/0.97 (![X: $i] : ((~r1(Y!2, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))))))),
% 1.05/0.97 inference(unit_resolution,[status(thm)],[121, 17, 118])).
% 1.05/0.97 tff(123,plain,
% 1.05/0.97 (((~![X: $i] : ((~r1(Y!2, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))))))) | ((~r1(Y!2, tptp_fun_X_9(Y!2))) | ![Y: $i] : ((~r1(tptp_fun_X_9(Y!2), Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))))))) <=> ((~![X: $i] : ((~r1(Y!2, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))))))) | (~r1(Y!2, tptp_fun_X_9(Y!2))) | ![Y: $i] : ((~r1(tptp_fun_X_9(Y!2), Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))))))),
% 1.05/0.97 inference(rewrite,[status(thm)],[])).
% 1.05/0.97 tff(124,plain,
% 1.05/0.97 ((~![X: $i] : ((~r1(Y!2, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))))))) | ((~r1(Y!2, tptp_fun_X_9(Y!2))) | ![Y: $i] : ((~r1(tptp_fun_X_9(Y!2), Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))))))),
% 1.05/0.97 inference(quant_inst,[status(thm)],[])).
% 1.05/0.97 tff(125,plain,
% 1.05/0.97 ((~![X: $i] : ((~r1(Y!2, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))))))) | (~r1(Y!2, tptp_fun_X_9(Y!2))) | ![Y: $i] : ((~r1(tptp_fun_X_9(Y!2), Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X))))))),
% 1.05/0.97 inference(modus_ponens,[status(thm)],[124, 123])).
% 1.05/0.97 tff(126,plain,
% 1.05/0.97 (![Y: $i] : ((~r1(tptp_fun_X_9(Y!2), Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X))))))),
% 1.05/0.97 inference(unit_resolution,[status(thm)],[125, 122, 23])).
% 1.05/0.97 tff(127,plain,
% 1.05/0.97 (((~![Y: $i] : ((~r1(tptp_fun_X_9(Y!2), Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X))))))) | ((~r1(tptp_fun_X_9(Y!2), tptp_fun_Y_12(tptp_fun_X_9(Y!2)))) | ![X: $i] : (p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))) | (~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), X))))) <=> ((~![Y: $i] : ((~r1(tptp_fun_X_9(Y!2), Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X))))))) | (~r1(tptp_fun_X_9(Y!2), tptp_fun_Y_12(tptp_fun_X_9(Y!2)))) | ![X: $i] : (p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))) | (~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), X))))),
% 1.05/0.97 inference(rewrite,[status(thm)],[])).
% 1.05/0.97 tff(128,plain,
% 1.05/0.97 (((~r1(tptp_fun_X_9(Y!2), tptp_fun_Y_12(tptp_fun_X_9(Y!2)))) | ![X: $i] : ((~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))))) <=> ((~r1(tptp_fun_X_9(Y!2), tptp_fun_Y_12(tptp_fun_X_9(Y!2)))) | ![X: $i] : (p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))) | (~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), X))))),
% 1.05/0.97 inference(rewrite,[status(thm)],[])).
% 1.05/0.97 tff(129,plain,
% 1.05/0.97 (((~![Y: $i] : ((~r1(tptp_fun_X_9(Y!2), Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X))))))) | ((~r1(tptp_fun_X_9(Y!2), tptp_fun_Y_12(tptp_fun_X_9(Y!2)))) | ![X: $i] : ((~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X))))))) <=> ((~![Y: $i] : ((~r1(tptp_fun_X_9(Y!2), Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X))))))) | ((~r1(tptp_fun_X_9(Y!2), tptp_fun_Y_12(tptp_fun_X_9(Y!2)))) | ![X: $i] : (p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))) | (~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), X)))))),
% 1.05/0.97 inference(monotonicity,[status(thm)],[128])).
% 1.05/0.97 tff(130,plain,
% 1.05/0.97 (((~![Y: $i] : ((~r1(tptp_fun_X_9(Y!2), Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X))))))) | ((~r1(tptp_fun_X_9(Y!2), tptp_fun_Y_12(tptp_fun_X_9(Y!2)))) | ![X: $i] : ((~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X))))))) <=> ((~![Y: $i] : ((~r1(tptp_fun_X_9(Y!2), Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X))))))) | (~r1(tptp_fun_X_9(Y!2), tptp_fun_Y_12(tptp_fun_X_9(Y!2)))) | ![X: $i] : (p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))) | (~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), X))))),
% 1.05/0.97 inference(transitivity,[status(thm)],[129, 127])).
% 1.05/0.97 tff(131,plain,
% 1.05/0.97 ((~![Y: $i] : ((~r1(tptp_fun_X_9(Y!2), Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X))))))) | ((~r1(tptp_fun_X_9(Y!2), tptp_fun_Y_12(tptp_fun_X_9(Y!2)))) | ![X: $i] : ((~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X))))))),
% 1.05/0.97 inference(quant_inst,[status(thm)],[])).
% 1.05/0.97 tff(132,plain,
% 1.05/0.97 ((~![Y: $i] : ((~r1(tptp_fun_X_9(Y!2), Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X))))))) | (~r1(tptp_fun_X_9(Y!2), tptp_fun_Y_12(tptp_fun_X_9(Y!2)))) | ![X: $i] : (p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))) | (~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), X)))),
% 1.05/0.97 inference(modus_ponens,[status(thm)],[131, 130])).
% 1.05/0.97 tff(133,plain,
% 1.05/0.97 (![X: $i] : (p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))) | (~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), X)))),
% 1.05/0.97 inference(unit_resolution,[status(thm)],[132, 71, 126])).
% 1.05/0.97 tff(134,plain,
% 1.05/0.97 (((~![X: $i] : (p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))) | (~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), X)))) | ((~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))) | p1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))) | (~((~r1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))), tptp_fun_Y_12(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))))) | p4(tptp_fun_Y_12(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))))))) <=> ((~![X: $i] : (p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))) | (~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), X)))) | (~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))) | p1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))) | (~((~r1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))), tptp_fun_Y_12(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))))) | p4(tptp_fun_Y_12(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))))))),
% 1.05/0.97 inference(rewrite,[status(thm)],[])).
% 1.05/0.97 tff(135,plain,
% 1.05/0.97 ((p1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))) | (~((~r1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))), tptp_fun_Y_12(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))))) | p4(tptp_fun_Y_12(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))))) | (~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))))) <=> ((~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))) | p1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))) | (~((~r1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))), tptp_fun_Y_12(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))))) | p4(tptp_fun_Y_12(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))))))),
% 1.05/0.97 inference(rewrite,[status(thm)],[])).
% 1.05/0.97 tff(136,plain,
% 1.05/0.97 ((~((~r1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))), tptp_fun_Y_12(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))))) | p4(tptp_fun_Y_12(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))))) <=> (~((~r1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))), tptp_fun_Y_12(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))))) | p4(tptp_fun_Y_12(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))))))),
% 1.05/0.97 inference(rewrite,[status(thm)],[])).
% 1.05/0.97 tff(137,plain,
% 1.05/0.97 ((p1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))) | (~((~r1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))), tptp_fun_Y_12(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))))) | p4(tptp_fun_Y_12(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))))) | (~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))))) <=> (p1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))) | (~((~r1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))), tptp_fun_Y_12(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))))) | p4(tptp_fun_Y_12(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))))) | (~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))))),
% 1.05/0.97 inference(monotonicity,[status(thm)],[136])).
% 1.05/0.97 tff(138,plain,
% 1.05/0.97 ((p1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))) | (~((~r1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))), tptp_fun_Y_12(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))))) | p4(tptp_fun_Y_12(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))))) | (~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))))) <=> ((~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))) | p1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))) | (~((~r1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))), tptp_fun_Y_12(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))))) | p4(tptp_fun_Y_12(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))))))),
% 1.05/0.97 inference(transitivity,[status(thm)],[137, 135])).
% 1.05/0.97 tff(139,plain,
% 1.05/0.97 (((~![X: $i] : (p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))) | (~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), X)))) | (p1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))) | (~((~r1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))), tptp_fun_Y_12(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))))) | p4(tptp_fun_Y_12(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))))) | (~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))))) <=> ((~![X: $i] : (p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))) | (~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), X)))) | ((~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))) | p1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))) | (~((~r1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))), tptp_fun_Y_12(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))))) | p4(tptp_fun_Y_12(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))))))))),
% 1.05/0.97 inference(monotonicity,[status(thm)],[138])).
% 1.05/0.97 tff(140,plain,
% 1.05/0.97 (((~![X: $i] : (p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))) | (~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), X)))) | (p1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))) | (~((~r1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))), tptp_fun_Y_12(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))))) | p4(tptp_fun_Y_12(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))))) | (~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))))) <=> ((~![X: $i] : (p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))) | (~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), X)))) | (~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))) | p1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))) | (~((~r1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))), tptp_fun_Y_12(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))))) | p4(tptp_fun_Y_12(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))))))),
% 1.05/0.98 inference(transitivity,[status(thm)],[139, 134])).
% 1.05/0.98 tff(141,plain,
% 1.05/0.98 ((~![X: $i] : (p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))) | (~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), X)))) | (p1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))) | (~((~r1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))), tptp_fun_Y_12(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))))) | p4(tptp_fun_Y_12(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))))) | (~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))))),
% 1.05/0.98 inference(quant_inst,[status(thm)],[])).
% 1.05/0.98 tff(142,plain,
% 1.05/0.98 ((~![X: $i] : (p1(X) | (~((~r1(X, tptp_fun_Y_12(X))) | p4(tptp_fun_Y_12(X)))) | (~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), X)))) | (~r1(tptp_fun_Y_12(tptp_fun_X_9(Y!2)), tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))) | p1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))) | (~((~r1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))), tptp_fun_Y_12(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))))) | p4(tptp_fun_Y_12(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))))))),
% 1.05/0.98 inference(modus_ponens,[status(thm)],[141, 140])).
% 1.05/0.98 tff(143,plain,
% 1.05/0.98 (~((~r1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))), tptp_fun_Y_12(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))))) | p4(tptp_fun_Y_12(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))))),
% 1.05/0.98 inference(unit_resolution,[status(thm)],[142, 133, 83, 111])).
% 1.05/0.98 tff(144,plain,
% 1.05/0.98 (((~r1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))), tptp_fun_Y_12(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))))) | p4(tptp_fun_Y_12(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))))) | (~p4(tptp_fun_Y_12(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))))),
% 1.05/0.98 inference(tautology,[status(thm)],[])).
% 1.05/0.98 tff(145,plain,
% 1.05/0.98 (~p4(tptp_fun_Y_12(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))))),
% 1.05/0.98 inference(unit_resolution,[status(thm)],[144, 143])).
% 1.05/0.98 tff(146,plain,
% 1.05/0.98 (((~r1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))), tptp_fun_Y_12(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))))) | p4(tptp_fun_Y_12(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))))) | r1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))), tptp_fun_Y_12(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))))),
% 1.05/0.98 inference(tautology,[status(thm)],[])).
% 1.05/0.98 tff(147,plain,
% 1.05/0.98 (r1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))), tptp_fun_Y_12(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))))),
% 1.05/0.98 inference(unit_resolution,[status(thm)],[146, 143])).
% 1.05/0.98 tff(148,plain,
% 1.05/0.98 (((~![Y: $i] : (p4(Y) | (~r1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))), Y)))) | (p4(tptp_fun_Y_12(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))) | (~r1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))), tptp_fun_Y_12(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))))))) <=> ((~![Y: $i] : (p4(Y) | (~r1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))), Y)))) | p4(tptp_fun_Y_12(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))) | (~r1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))), tptp_fun_Y_12(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))))))),
% 1.05/0.98 inference(rewrite,[status(thm)],[])).
% 1.05/0.98 tff(149,plain,
% 1.05/0.98 ((~![Y: $i] : (p4(Y) | (~r1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))), Y)))) | (p4(tptp_fun_Y_12(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))) | (~r1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))), tptp_fun_Y_12(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2)))))))),
% 1.05/0.98 inference(quant_inst,[status(thm)],[])).
% 1.05/0.98 tff(150,plain,
% 1.05/0.98 ((~![Y: $i] : (p4(Y) | (~r1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))), Y)))) | p4(tptp_fun_Y_12(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))) | (~r1(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))), tptp_fun_Y_12(tptp_fun_X_9(tptp_fun_Y_12(tptp_fun_X_9(Y!2))))))),
% 1.05/0.98 inference(modus_ponens,[status(thm)],[149, 148])).
% 1.05/0.98 tff(151,plain,
% 1.05/0.98 ($false),
% 1.05/0.98 inference(unit_resolution,[status(thm)],[150, 147, 145, 109])).
% 1.05/0.98 % SZS output end Proof
%------------------------------------------------------------------------------