TSTP Solution File: LCL686+1.005 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : LCL686+1.005 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n001.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 04:57:54 EDT 2022
% Result : Theorem 5.60s 3.72s
% Output : Proof 5.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.09 % Problem : LCL686+1.005 : TPTP v8.1.0. Released v4.0.0.
% 0.09/0.10 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.10/0.30 % Computer : n001.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Fri Sep 2 00:42:07 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.10/0.30 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.10/0.30 Usage: tptp [options] [-file:]file
% 0.10/0.30 -h, -? prints this message.
% 0.10/0.30 -smt2 print SMT-LIB2 benchmark.
% 0.10/0.30 -m, -model generate model.
% 0.10/0.30 -p, -proof generate proof.
% 0.10/0.30 -c, -core generate unsat core of named formulas.
% 0.10/0.30 -st, -statistics display statistics.
% 0.10/0.30 -t:timeout set timeout (in second).
% 0.10/0.30 -smt2status display status in smt2 format instead of SZS.
% 0.10/0.30 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.10/0.30 -<param>:<value> configuration parameter and value.
% 0.10/0.30 -o:<output-file> file to place output in.
% 5.60/3.72 % SZS status Theorem
% 5.60/3.72 % SZS output start Proof
% 5.60/3.72 tff(p2_type, type, (
% 5.60/3.72 p2: $i > $o)).
% 5.60/3.72 tff(tptp_fun_Y_18_type, type, (
% 5.60/3.72 tptp_fun_Y_18: $i > $i)).
% 5.60/3.72 tff(tptp_fun_Y_4_type, type, (
% 5.60/3.72 tptp_fun_Y_4: $i > $i)).
% 5.60/3.72 tff(tptp_fun_Y_5_type, type, (
% 5.60/3.72 tptp_fun_Y_5: $i > $i)).
% 5.60/3.72 tff(tptp_fun_Y_3_type, type, (
% 5.60/3.72 tptp_fun_Y_3: $i)).
% 5.60/3.72 tff(p1_type, type, (
% 5.60/3.72 p1: $i > $o)).
% 5.60/3.72 tff(p13_type, type, (
% 5.60/3.72 p13: $i > $o)).
% 5.60/3.72 tff(p14_type, type, (
% 5.60/3.72 p14: $i > $o)).
% 5.60/3.72 tff(r1_type, type, (
% 5.60/3.72 r1: ( $i * $i ) > $o)).
% 5.60/3.72 tff(tptp_fun_X_16_type, type, (
% 5.60/3.72 tptp_fun_X_16: $i > $i)).
% 5.60/3.72 tff(p12_type, type, (
% 5.60/3.72 p12: $i > $o)).
% 5.60/3.72 tff(tptp_fun_Y_15_type, type, (
% 5.60/3.72 tptp_fun_Y_15: $i > $i)).
% 5.60/3.72 tff(p11_type, type, (
% 5.60/3.72 p11: $i > $o)).
% 5.60/3.72 tff(tptp_fun_X_14_type, type, (
% 5.60/3.72 tptp_fun_X_14: $i > $i)).
% 5.60/3.72 tff(p10_type, type, (
% 5.60/3.72 p10: $i > $o)).
% 5.60/3.72 tff(tptp_fun_Y_13_type, type, (
% 5.60/3.72 tptp_fun_Y_13: $i > $i)).
% 5.60/3.72 tff(p9_type, type, (
% 5.60/3.72 p9: $i > $o)).
% 5.60/3.72 tff(tptp_fun_X_12_type, type, (
% 5.60/3.72 tptp_fun_X_12: $i > $i)).
% 5.60/3.72 tff(p8_type, type, (
% 5.60/3.72 p8: $i > $o)).
% 5.60/3.72 tff(tptp_fun_Y_11_type, type, (
% 5.60/3.72 tptp_fun_Y_11: $i > $i)).
% 5.60/3.72 tff(p7_type, type, (
% 5.60/3.72 p7: $i > $o)).
% 5.60/3.72 tff(tptp_fun_X_10_type, type, (
% 5.60/3.72 tptp_fun_X_10: $i > $i)).
% 5.60/3.72 tff(p6_type, type, (
% 5.60/3.72 p6: $i > $o)).
% 5.60/3.72 tff(tptp_fun_Y_9_type, type, (
% 5.60/3.72 tptp_fun_Y_9: $i > $i)).
% 5.60/3.72 tff(p5_type, type, (
% 5.60/3.72 p5: $i > $o)).
% 5.60/3.72 tff(tptp_fun_X_8_type, type, (
% 5.60/3.72 tptp_fun_X_8: $i > $i)).
% 5.60/3.72 tff(p4_type, type, (
% 5.60/3.72 p4: $i > $o)).
% 5.60/3.72 tff(tptp_fun_Y_7_type, type, (
% 5.60/3.72 tptp_fun_Y_7: $i > $i)).
% 5.60/3.72 tff(p3_type, type, (
% 5.60/3.72 p3: $i > $o)).
% 5.60/3.72 tff(tptp_fun_X_6_type, type, (
% 5.60/3.72 tptp_fun_X_6: $i > $i)).
% 5.60/3.72 tff(tptp_fun_Y_17_type, type, (
% 5.60/3.72 tptp_fun_Y_17: $i > $i)).
% 5.60/3.72 tff(p15_type, type, (
% 5.60/3.72 p15: $i > $o)).
% 5.60/3.72 tff(tptp_fun_X_0_type, type, (
% 5.60/3.72 tptp_fun_X_0: $i)).
% 5.60/3.72 tff(tptp_fun_Y_1_type, type, (
% 5.60/3.72 tptp_fun_Y_1: $i)).
% 5.60/3.72 tff(tptp_fun_X_2_type, type, (
% 5.60/3.72 tptp_fun_X_2: $i)).
% 5.60/3.72 tff(1,assumption,(~p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))), introduced(assumption)).
% 5.60/3.72 tff(2,plain,
% 5.60/3.72 (^[X: $i] : refl(r1(X, X) <=> r1(X, X))),
% 5.60/3.72 inference(bind,[status(th)],[])).
% 5.60/3.72 tff(3,plain,
% 5.60/3.72 (![X: $i] : r1(X, X) <=> ![X: $i] : r1(X, X)),
% 5.60/3.72 inference(quant_intro,[status(thm)],[2])).
% 5.60/3.72 tff(4,plain,
% 5.60/3.72 (![X: $i] : r1(X, X) <=> ![X: $i] : r1(X, X)),
% 5.60/3.72 inference(rewrite,[status(thm)],[])).
% 5.60/3.72 tff(5,axiom,(![X: $i] : r1(X, X)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','reflexivity')).
% 5.60/3.72 tff(6,plain,
% 5.60/3.72 (![X: $i] : r1(X, X)),
% 5.60/3.72 inference(modus_ponens,[status(thm)],[5, 4])).
% 5.60/3.72 tff(7,plain,(
% 5.60/3.72 ![X: $i] : r1(X, X)),
% 5.60/3.72 inference(skolemize,[status(sab)],[6])).
% 5.60/3.72 tff(8,plain,
% 5.60/3.72 (![X: $i] : r1(X, X)),
% 5.60/3.72 inference(modus_ponens,[status(thm)],[7, 3])).
% 5.60/3.72 tff(9,plain,
% 5.60/3.72 ((~![X: $i] : r1(X, X)) | r1(Y!3, Y!3)),
% 5.60/3.72 inference(quant_inst,[status(thm)],[])).
% 5.60/3.72 tff(10,plain,
% 5.60/3.72 (r1(Y!3, Y!3)),
% 5.60/3.72 inference(unit_resolution,[status(thm)],[9, 8])).
% 5.60/3.72 tff(11,plain,
% 5.60/3.72 (^[X: $i] : rewrite(((~r1(Y!3, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_5(X))) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~r1(tptp_fun_X_6(X), tptp_fun_Y_7(X))) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~r1(tptp_fun_X_8(X), tptp_fun_Y_9(X))) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))) | (~r1(tptp_fun_X_10(X), tptp_fun_Y_11(X))) | (~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | (~r1(tptp_fun_X_12(X), tptp_fun_Y_13(X))) | (~r1(tptp_fun_Y_13(X), tptp_fun_X_14(X))) | (~r1(tptp_fun_X_14(X), tptp_fun_Y_15(X))) | (~r1(tptp_fun_Y_15(X), tptp_fun_X_16(X))) | (~r1(tptp_fun_X_16(X), tptp_fun_Y_17(X))) | (~r1(X, tptp_fun_Y_18(X))) | (~((~p1(tptp_fun_Y_18(X))) | (~p2(tptp_fun_Y_18(X))))) | (~(p1(tptp_fun_Y_18(X)) | p2(tptp_fun_Y_18(X)))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~((~p2(tptp_fun_Y_18(X))) | (~p3(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~(p2(tptp_fun_Y_18(X)) | p3(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~((~p3(tptp_fun_Y_18(X))) | (~p4(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~(p3(tptp_fun_Y_18(X)) | p4(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~((~p4(tptp_fun_Y_18(X))) | (~p5(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~(p4(tptp_fun_Y_18(X)) | p5(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))) | (~((~p5(tptp_fun_Y_18(X))) | (~p6(tptp_fun_Y_18(X))))) | (~(p5(tptp_fun_Y_18(X)) | p6(tptp_fun_Y_18(X)))) | (~((~p6(tptp_fun_Y_18(X))) | (~p7(tptp_fun_Y_18(X))))) | (~(p6(tptp_fun_Y_18(X)) | p7(tptp_fun_Y_18(X)))) | (~((~p7(tptp_fun_Y_18(X))) | (~p8(tptp_fun_Y_18(X))))) | (~(p7(tptp_fun_Y_18(X)) | p8(tptp_fun_Y_18(X)))) | (~((~p8(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p8(tptp_fun_Y_18(X)) | p9(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p9(tptp_fun_Y_18(X)) | p10(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p11(tptp_fun_Y_18(X))))) | (~(p10(tptp_fun_Y_18(X)) | p11(tptp_fun_Y_18(X)))) | (~((~p11(tptp_fun_Y_18(X))) | (~p12(tptp_fun_Y_18(X))))) | (~(p11(tptp_fun_Y_18(X)) | p12(tptp_fun_Y_18(X)))) | (~((~p12(tptp_fun_Y_18(X))) | (~p13(tptp_fun_Y_18(X))))) | (~(p12(tptp_fun_Y_18(X)) | p13(tptp_fun_Y_18(X)))) | (~((~p13(tptp_fun_Y_18(X))) | (~p14(tptp_fun_Y_18(X))))) | (~(p13(tptp_fun_Y_18(X)) | p14(tptp_fun_Y_18(X))))))) <=> ((~r1(Y!3, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_5(X))) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~r1(tptp_fun_X_6(X), tptp_fun_Y_7(X))) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~r1(tptp_fun_X_8(X), tptp_fun_Y_9(X))) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))) | (~r1(tptp_fun_X_10(X), tptp_fun_Y_11(X))) | (~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | (~r1(tptp_fun_X_12(X), tptp_fun_Y_13(X))) | (~r1(tptp_fun_Y_13(X), tptp_fun_X_14(X))) | (~r1(tptp_fun_X_14(X), tptp_fun_Y_15(X))) | (~r1(tptp_fun_Y_15(X), tptp_fun_X_16(X))) | (~r1(tptp_fun_X_16(X), tptp_fun_Y_17(X))) | (~r1(X, tptp_fun_Y_18(X))) | (~((~p1(tptp_fun_Y_18(X))) | (~p2(tptp_fun_Y_18(X))))) | (~(p1(tptp_fun_Y_18(X)) | p2(tptp_fun_Y_18(X)))) | (~((~p2(tptp_fun_Y_18(X))) | (~p3(tptp_fun_Y_18(X))))) | (~(p2(tptp_fun_Y_18(X)) | p3(tptp_fun_Y_18(X)))) | (~((~p3(tptp_fun_Y_18(X))) | (~p4(tptp_fun_Y_18(X))))) | (~(p3(tptp_fun_Y_18(X)) | p4(tptp_fun_Y_18(X)))) | (~((~p4(tptp_fun_Y_18(X))) | (~p5(tptp_fun_Y_18(X))))) | (~(p4(tptp_fun_Y_18(X)) | p5(tptp_fun_Y_18(X)))) | (~((~p5(tptp_fun_Y_18(X))) | (~p6(tptp_fun_Y_18(X))))) | (~(p5(tptp_fun_Y_18(X)) | p6(tptp_fun_Y_18(X)))) | (~((~p6(tptp_fun_Y_18(X))) | (~p7(tptp_fun_Y_18(X))))) | (~(p6(tptp_fun_Y_18(X)) | p7(tptp_fun_Y_18(X)))) | (~((~p7(tptp_fun_Y_18(X))) | (~p8(tptp_fun_Y_18(X))))) | (~(p7(tptp_fun_Y_18(X)) | p8(tptp_fun_Y_18(X)))) | (~((~p8(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p8(tptp_fun_Y_18(X)) | p9(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p9(tptp_fun_Y_18(X)) | p10(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p11(tptp_fun_Y_18(X))))) | (~(p10(tptp_fun_Y_18(X)) | p11(tptp_fun_Y_18(X)))) | (~((~p11(tptp_fun_Y_18(X))) | (~p12(tptp_fun_Y_18(X))))) | (~(p11(tptp_fun_Y_18(X)) | p12(tptp_fun_Y_18(X)))) | (~((~p12(tptp_fun_Y_18(X))) | (~p13(tptp_fun_Y_18(X))))) | (~(p12(tptp_fun_Y_18(X)) | p13(tptp_fun_Y_18(X)))) | (~((~p13(tptp_fun_Y_18(X))) | (~p14(tptp_fun_Y_18(X))))) | (~(p13(tptp_fun_Y_18(X)) | p14(tptp_fun_Y_18(X)))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y))))))))))))),
% 5.60/3.73 inference(bind,[status(th)],[])).
% 5.60/3.73 tff(12,plain,
% 5.60/3.73 (![X: $i] : ((~r1(Y!3, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_5(X))) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~r1(tptp_fun_X_6(X), tptp_fun_Y_7(X))) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~r1(tptp_fun_X_8(X), tptp_fun_Y_9(X))) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))) | (~r1(tptp_fun_X_10(X), tptp_fun_Y_11(X))) | (~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | (~r1(tptp_fun_X_12(X), tptp_fun_Y_13(X))) | (~r1(tptp_fun_Y_13(X), tptp_fun_X_14(X))) | (~r1(tptp_fun_X_14(X), tptp_fun_Y_15(X))) | (~r1(tptp_fun_Y_15(X), tptp_fun_X_16(X))) | (~r1(tptp_fun_X_16(X), tptp_fun_Y_17(X))) | (~r1(X, tptp_fun_Y_18(X))) | (~((~p1(tptp_fun_Y_18(X))) | (~p2(tptp_fun_Y_18(X))))) | (~(p1(tptp_fun_Y_18(X)) | p2(tptp_fun_Y_18(X)))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~((~p2(tptp_fun_Y_18(X))) | (~p3(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~(p2(tptp_fun_Y_18(X)) | p3(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~((~p3(tptp_fun_Y_18(X))) | (~p4(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~(p3(tptp_fun_Y_18(X)) | p4(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~((~p4(tptp_fun_Y_18(X))) | (~p5(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~(p4(tptp_fun_Y_18(X)) | p5(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))) | (~((~p5(tptp_fun_Y_18(X))) | (~p6(tptp_fun_Y_18(X))))) | (~(p5(tptp_fun_Y_18(X)) | p6(tptp_fun_Y_18(X)))) | (~((~p6(tptp_fun_Y_18(X))) | (~p7(tptp_fun_Y_18(X))))) | (~(p6(tptp_fun_Y_18(X)) | p7(tptp_fun_Y_18(X)))) | (~((~p7(tptp_fun_Y_18(X))) | (~p8(tptp_fun_Y_18(X))))) | (~(p7(tptp_fun_Y_18(X)) | p8(tptp_fun_Y_18(X)))) | (~((~p8(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p8(tptp_fun_Y_18(X)) | p9(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p9(tptp_fun_Y_18(X)) | p10(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p11(tptp_fun_Y_18(X))))) | (~(p10(tptp_fun_Y_18(X)) | p11(tptp_fun_Y_18(X)))) | (~((~p11(tptp_fun_Y_18(X))) | (~p12(tptp_fun_Y_18(X))))) | (~(p11(tptp_fun_Y_18(X)) | p12(tptp_fun_Y_18(X)))) | (~((~p12(tptp_fun_Y_18(X))) | (~p13(tptp_fun_Y_18(X))))) | (~(p12(tptp_fun_Y_18(X)) | p13(tptp_fun_Y_18(X)))) | (~((~p13(tptp_fun_Y_18(X))) | (~p14(tptp_fun_Y_18(X))))) | (~(p13(tptp_fun_Y_18(X)) | p14(tptp_fun_Y_18(X))))))) <=> ![X: $i] : ((~r1(Y!3, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_5(X))) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~r1(tptp_fun_X_6(X), tptp_fun_Y_7(X))) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~r1(tptp_fun_X_8(X), tptp_fun_Y_9(X))) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))) | (~r1(tptp_fun_X_10(X), tptp_fun_Y_11(X))) | (~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | (~r1(tptp_fun_X_12(X), tptp_fun_Y_13(X))) | (~r1(tptp_fun_Y_13(X), tptp_fun_X_14(X))) | (~r1(tptp_fun_X_14(X), tptp_fun_Y_15(X))) | (~r1(tptp_fun_Y_15(X), tptp_fun_X_16(X))) | (~r1(tptp_fun_X_16(X), tptp_fun_Y_17(X))) | (~r1(X, tptp_fun_Y_18(X))) | (~((~p1(tptp_fun_Y_18(X))) | (~p2(tptp_fun_Y_18(X))))) | (~(p1(tptp_fun_Y_18(X)) | p2(tptp_fun_Y_18(X)))) | (~((~p2(tptp_fun_Y_18(X))) | (~p3(tptp_fun_Y_18(X))))) | (~(p2(tptp_fun_Y_18(X)) | p3(tptp_fun_Y_18(X)))) | (~((~p3(tptp_fun_Y_18(X))) | (~p4(tptp_fun_Y_18(X))))) | (~(p3(tptp_fun_Y_18(X)) | p4(tptp_fun_Y_18(X)))) | (~((~p4(tptp_fun_Y_18(X))) | (~p5(tptp_fun_Y_18(X))))) | (~(p4(tptp_fun_Y_18(X)) | p5(tptp_fun_Y_18(X)))) | (~((~p5(tptp_fun_Y_18(X))) | (~p6(tptp_fun_Y_18(X))))) | (~(p5(tptp_fun_Y_18(X)) | p6(tptp_fun_Y_18(X)))) | (~((~p6(tptp_fun_Y_18(X))) | (~p7(tptp_fun_Y_18(X))))) | (~(p6(tptp_fun_Y_18(X)) | p7(tptp_fun_Y_18(X)))) | (~((~p7(tptp_fun_Y_18(X))) | (~p8(tptp_fun_Y_18(X))))) | (~(p7(tptp_fun_Y_18(X)) | p8(tptp_fun_Y_18(X)))) | (~((~p8(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p8(tptp_fun_Y_18(X)) | p9(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p9(tptp_fun_Y_18(X)) | p10(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p11(tptp_fun_Y_18(X))))) | (~(p10(tptp_fun_Y_18(X)) | p11(tptp_fun_Y_18(X)))) | (~((~p11(tptp_fun_Y_18(X))) | (~p12(tptp_fun_Y_18(X))))) | (~(p11(tptp_fun_Y_18(X)) | p12(tptp_fun_Y_18(X)))) | (~((~p12(tptp_fun_Y_18(X))) | (~p13(tptp_fun_Y_18(X))))) | (~(p12(tptp_fun_Y_18(X)) | p13(tptp_fun_Y_18(X)))) | (~((~p13(tptp_fun_Y_18(X))) | (~p14(tptp_fun_Y_18(X))))) | (~(p13(tptp_fun_Y_18(X)) | p14(tptp_fun_Y_18(X)))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))))))),
% 5.60/3.73 inference(quant_intro,[status(thm)],[11])).
% 5.60/3.73 tff(13,plain,
% 5.60/3.73 (^[X: $i] : refl(((~r1(Y!3, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_5(X))) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~r1(tptp_fun_X_6(X), tptp_fun_Y_7(X))) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~r1(tptp_fun_X_8(X), tptp_fun_Y_9(X))) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))) | (~r1(tptp_fun_X_10(X), tptp_fun_Y_11(X))) | (~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | (~r1(tptp_fun_X_12(X), tptp_fun_Y_13(X))) | (~r1(tptp_fun_Y_13(X), tptp_fun_X_14(X))) | (~r1(tptp_fun_X_14(X), tptp_fun_Y_15(X))) | (~r1(tptp_fun_Y_15(X), tptp_fun_X_16(X))) | (~r1(tptp_fun_X_16(X), tptp_fun_Y_17(X))) | (~r1(X, tptp_fun_Y_18(X))) | (~((~p1(tptp_fun_Y_18(X))) | (~p2(tptp_fun_Y_18(X))))) | (~(p1(tptp_fun_Y_18(X)) | p2(tptp_fun_Y_18(X)))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~((~p2(tptp_fun_Y_18(X))) | (~p3(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~(p2(tptp_fun_Y_18(X)) | p3(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~((~p3(tptp_fun_Y_18(X))) | (~p4(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~(p3(tptp_fun_Y_18(X)) | p4(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~((~p4(tptp_fun_Y_18(X))) | (~p5(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~(p4(tptp_fun_Y_18(X)) | p5(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))) | (~((~p5(tptp_fun_Y_18(X))) | (~p6(tptp_fun_Y_18(X))))) | (~(p5(tptp_fun_Y_18(X)) | p6(tptp_fun_Y_18(X)))) | (~((~p6(tptp_fun_Y_18(X))) | (~p7(tptp_fun_Y_18(X))))) | (~(p6(tptp_fun_Y_18(X)) | p7(tptp_fun_Y_18(X)))) | (~((~p7(tptp_fun_Y_18(X))) | (~p8(tptp_fun_Y_18(X))))) | (~(p7(tptp_fun_Y_18(X)) | p8(tptp_fun_Y_18(X)))) | (~((~p8(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p8(tptp_fun_Y_18(X)) | p9(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p9(tptp_fun_Y_18(X)) | p10(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p11(tptp_fun_Y_18(X))))) | (~(p10(tptp_fun_Y_18(X)) | p11(tptp_fun_Y_18(X)))) | (~((~p11(tptp_fun_Y_18(X))) | (~p12(tptp_fun_Y_18(X))))) | (~(p11(tptp_fun_Y_18(X)) | p12(tptp_fun_Y_18(X)))) | (~((~p12(tptp_fun_Y_18(X))) | (~p13(tptp_fun_Y_18(X))))) | (~(p12(tptp_fun_Y_18(X)) | p13(tptp_fun_Y_18(X)))) | (~((~p13(tptp_fun_Y_18(X))) | (~p14(tptp_fun_Y_18(X))))) | (~(p13(tptp_fun_Y_18(X)) | p14(tptp_fun_Y_18(X))))))) <=> ((~r1(Y!3, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_5(X))) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~r1(tptp_fun_X_6(X), tptp_fun_Y_7(X))) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~r1(tptp_fun_X_8(X), tptp_fun_Y_9(X))) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))) | (~r1(tptp_fun_X_10(X), tptp_fun_Y_11(X))) | (~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | (~r1(tptp_fun_X_12(X), tptp_fun_Y_13(X))) | (~r1(tptp_fun_Y_13(X), tptp_fun_X_14(X))) | (~r1(tptp_fun_X_14(X), tptp_fun_Y_15(X))) | (~r1(tptp_fun_Y_15(X), tptp_fun_X_16(X))) | (~r1(tptp_fun_X_16(X), tptp_fun_Y_17(X))) | (~r1(X, tptp_fun_Y_18(X))) | (~((~p1(tptp_fun_Y_18(X))) | (~p2(tptp_fun_Y_18(X))))) | (~(p1(tptp_fun_Y_18(X)) | p2(tptp_fun_Y_18(X)))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~((~p2(tptp_fun_Y_18(X))) | (~p3(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~(p2(tptp_fun_Y_18(X)) | p3(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~((~p3(tptp_fun_Y_18(X))) | (~p4(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~(p3(tptp_fun_Y_18(X)) | p4(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~((~p4(tptp_fun_Y_18(X))) | (~p5(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~(p4(tptp_fun_Y_18(X)) | p5(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))) | (~((~p5(tptp_fun_Y_18(X))) | (~p6(tptp_fun_Y_18(X))))) | (~(p5(tptp_fun_Y_18(X)) | p6(tptp_fun_Y_18(X)))) | (~((~p6(tptp_fun_Y_18(X))) | (~p7(tptp_fun_Y_18(X))))) | (~(p6(tptp_fun_Y_18(X)) | p7(tptp_fun_Y_18(X)))) | (~((~p7(tptp_fun_Y_18(X))) | (~p8(tptp_fun_Y_18(X))))) | (~(p7(tptp_fun_Y_18(X)) | p8(tptp_fun_Y_18(X)))) | (~((~p8(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p8(tptp_fun_Y_18(X)) | p9(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p9(tptp_fun_Y_18(X)) | p10(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p11(tptp_fun_Y_18(X))))) | (~(p10(tptp_fun_Y_18(X)) | p11(tptp_fun_Y_18(X)))) | (~((~p11(tptp_fun_Y_18(X))) | (~p12(tptp_fun_Y_18(X))))) | (~(p11(tptp_fun_Y_18(X)) | p12(tptp_fun_Y_18(X)))) | (~((~p12(tptp_fun_Y_18(X))) | (~p13(tptp_fun_Y_18(X))))) | (~(p12(tptp_fun_Y_18(X)) | p13(tptp_fun_Y_18(X)))) | (~((~p13(tptp_fun_Y_18(X))) | (~p14(tptp_fun_Y_18(X))))) | (~(p13(tptp_fun_Y_18(X)) | p14(tptp_fun_Y_18(X))))))))),
% 5.60/3.73 inference(bind,[status(th)],[])).
% 5.60/3.73 tff(14,plain,
% 5.60/3.73 (![X: $i] : ((~r1(Y!3, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_5(X))) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~r1(tptp_fun_X_6(X), tptp_fun_Y_7(X))) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~r1(tptp_fun_X_8(X), tptp_fun_Y_9(X))) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))) | (~r1(tptp_fun_X_10(X), tptp_fun_Y_11(X))) | (~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | (~r1(tptp_fun_X_12(X), tptp_fun_Y_13(X))) | (~r1(tptp_fun_Y_13(X), tptp_fun_X_14(X))) | (~r1(tptp_fun_X_14(X), tptp_fun_Y_15(X))) | (~r1(tptp_fun_Y_15(X), tptp_fun_X_16(X))) | (~r1(tptp_fun_X_16(X), tptp_fun_Y_17(X))) | (~r1(X, tptp_fun_Y_18(X))) | (~((~p1(tptp_fun_Y_18(X))) | (~p2(tptp_fun_Y_18(X))))) | (~(p1(tptp_fun_Y_18(X)) | p2(tptp_fun_Y_18(X)))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~((~p2(tptp_fun_Y_18(X))) | (~p3(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~(p2(tptp_fun_Y_18(X)) | p3(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~((~p3(tptp_fun_Y_18(X))) | (~p4(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~(p3(tptp_fun_Y_18(X)) | p4(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~((~p4(tptp_fun_Y_18(X))) | (~p5(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~(p4(tptp_fun_Y_18(X)) | p5(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))) | (~((~p5(tptp_fun_Y_18(X))) | (~p6(tptp_fun_Y_18(X))))) | (~(p5(tptp_fun_Y_18(X)) | p6(tptp_fun_Y_18(X)))) | (~((~p6(tptp_fun_Y_18(X))) | (~p7(tptp_fun_Y_18(X))))) | (~(p6(tptp_fun_Y_18(X)) | p7(tptp_fun_Y_18(X)))) | (~((~p7(tptp_fun_Y_18(X))) | (~p8(tptp_fun_Y_18(X))))) | (~(p7(tptp_fun_Y_18(X)) | p8(tptp_fun_Y_18(X)))) | (~((~p8(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p8(tptp_fun_Y_18(X)) | p9(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p9(tptp_fun_Y_18(X)) | p10(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p11(tptp_fun_Y_18(X))))) | (~(p10(tptp_fun_Y_18(X)) | p11(tptp_fun_Y_18(X)))) | (~((~p11(tptp_fun_Y_18(X))) | (~p12(tptp_fun_Y_18(X))))) | (~(p11(tptp_fun_Y_18(X)) | p12(tptp_fun_Y_18(X)))) | (~((~p12(tptp_fun_Y_18(X))) | (~p13(tptp_fun_Y_18(X))))) | (~(p12(tptp_fun_Y_18(X)) | p13(tptp_fun_Y_18(X)))) | (~((~p13(tptp_fun_Y_18(X))) | (~p14(tptp_fun_Y_18(X))))) | (~(p13(tptp_fun_Y_18(X)) | p14(tptp_fun_Y_18(X))))))) <=> ![X: $i] : ((~r1(Y!3, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_5(X))) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~r1(tptp_fun_X_6(X), tptp_fun_Y_7(X))) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~r1(tptp_fun_X_8(X), tptp_fun_Y_9(X))) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))) | (~r1(tptp_fun_X_10(X), tptp_fun_Y_11(X))) | (~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | (~r1(tptp_fun_X_12(X), tptp_fun_Y_13(X))) | (~r1(tptp_fun_Y_13(X), tptp_fun_X_14(X))) | (~r1(tptp_fun_X_14(X), tptp_fun_Y_15(X))) | (~r1(tptp_fun_Y_15(X), tptp_fun_X_16(X))) | (~r1(tptp_fun_X_16(X), tptp_fun_Y_17(X))) | (~r1(X, tptp_fun_Y_18(X))) | (~((~p1(tptp_fun_Y_18(X))) | (~p2(tptp_fun_Y_18(X))))) | (~(p1(tptp_fun_Y_18(X)) | p2(tptp_fun_Y_18(X)))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~((~p2(tptp_fun_Y_18(X))) | (~p3(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~(p2(tptp_fun_Y_18(X)) | p3(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~((~p3(tptp_fun_Y_18(X))) | (~p4(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~(p3(tptp_fun_Y_18(X)) | p4(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~((~p4(tptp_fun_Y_18(X))) | (~p5(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~(p4(tptp_fun_Y_18(X)) | p5(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))) | (~((~p5(tptp_fun_Y_18(X))) | (~p6(tptp_fun_Y_18(X))))) | (~(p5(tptp_fun_Y_18(X)) | p6(tptp_fun_Y_18(X)))) | (~((~p6(tptp_fun_Y_18(X))) | (~p7(tptp_fun_Y_18(X))))) | (~(p6(tptp_fun_Y_18(X)) | p7(tptp_fun_Y_18(X)))) | (~((~p7(tptp_fun_Y_18(X))) | (~p8(tptp_fun_Y_18(X))))) | (~(p7(tptp_fun_Y_18(X)) | p8(tptp_fun_Y_18(X)))) | (~((~p8(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p8(tptp_fun_Y_18(X)) | p9(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p9(tptp_fun_Y_18(X)) | p10(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p11(tptp_fun_Y_18(X))))) | (~(p10(tptp_fun_Y_18(X)) | p11(tptp_fun_Y_18(X)))) | (~((~p11(tptp_fun_Y_18(X))) | (~p12(tptp_fun_Y_18(X))))) | (~(p11(tptp_fun_Y_18(X)) | p12(tptp_fun_Y_18(X)))) | (~((~p12(tptp_fun_Y_18(X))) | (~p13(tptp_fun_Y_18(X))))) | (~(p12(tptp_fun_Y_18(X)) | p13(tptp_fun_Y_18(X)))) | (~((~p13(tptp_fun_Y_18(X))) | (~p14(tptp_fun_Y_18(X))))) | (~(p13(tptp_fun_Y_18(X)) | p14(tptp_fun_Y_18(X)))))))),
% 5.60/3.73 inference(quant_intro,[status(thm)],[13])).
% 5.60/3.73 tff(15,plain,
% 5.60/3.73 (^[X: $i] : rewrite(((~r1(Y!3, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_5(X))) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~r1(tptp_fun_X_6(X), tptp_fun_Y_7(X))) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~r1(tptp_fun_X_8(X), tptp_fun_Y_9(X))) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))) | (~r1(tptp_fun_X_10(X), tptp_fun_Y_11(X))) | (~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | (~r1(tptp_fun_X_12(X), tptp_fun_Y_13(X))) | (~r1(tptp_fun_Y_13(X), tptp_fun_X_14(X))) | (~r1(tptp_fun_X_14(X), tptp_fun_Y_15(X))) | (~r1(tptp_fun_Y_15(X), tptp_fun_X_16(X))) | (~r1(tptp_fun_X_16(X), tptp_fun_Y_17(X))) | (~r1(X, tptp_fun_Y_18(X))) | (~((~p1(tptp_fun_Y_18(X))) | (~p2(tptp_fun_Y_18(X))))) | (~(p1(tptp_fun_Y_18(X)) | p2(tptp_fun_Y_18(X)))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~((~p2(tptp_fun_Y_18(X))) | (~p3(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~(p2(tptp_fun_Y_18(X)) | p3(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~((~p3(tptp_fun_Y_18(X))) | (~p4(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~(p3(tptp_fun_Y_18(X)) | p4(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~((~p4(tptp_fun_Y_18(X))) | (~p5(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~(p4(tptp_fun_Y_18(X)) | p5(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))) | (~((~p5(tptp_fun_Y_18(X))) | (~p6(tptp_fun_Y_18(X))))) | (~(p5(tptp_fun_Y_18(X)) | p6(tptp_fun_Y_18(X)))) | (~((~p6(tptp_fun_Y_18(X))) | (~p7(tptp_fun_Y_18(X))))) | (~(p6(tptp_fun_Y_18(X)) | p7(tptp_fun_Y_18(X)))) | (~((~p7(tptp_fun_Y_18(X))) | (~p8(tptp_fun_Y_18(X))))) | (~(p7(tptp_fun_Y_18(X)) | p8(tptp_fun_Y_18(X)))) | (~((~p8(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p8(tptp_fun_Y_18(X)) | p9(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p9(tptp_fun_Y_18(X)) | p10(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p11(tptp_fun_Y_18(X))))) | (~(p10(tptp_fun_Y_18(X)) | p11(tptp_fun_Y_18(X)))) | (~((~p11(tptp_fun_Y_18(X))) | (~p12(tptp_fun_Y_18(X))))) | (~(p11(tptp_fun_Y_18(X)) | p12(tptp_fun_Y_18(X)))) | (~((~p12(tptp_fun_Y_18(X))) | (~p13(tptp_fun_Y_18(X))))) | (~(p12(tptp_fun_Y_18(X)) | p13(tptp_fun_Y_18(X)))) | (~((~p13(tptp_fun_Y_18(X))) | (~p14(tptp_fun_Y_18(X))))) | (~(p13(tptp_fun_Y_18(X)) | p14(tptp_fun_Y_18(X))))))) <=> ((~r1(Y!3, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_5(X))) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~r1(tptp_fun_X_6(X), tptp_fun_Y_7(X))) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~r1(tptp_fun_X_8(X), tptp_fun_Y_9(X))) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))) | (~r1(tptp_fun_X_10(X), tptp_fun_Y_11(X))) | (~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | (~r1(tptp_fun_X_12(X), tptp_fun_Y_13(X))) | (~r1(tptp_fun_Y_13(X), tptp_fun_X_14(X))) | (~r1(tptp_fun_X_14(X), tptp_fun_Y_15(X))) | (~r1(tptp_fun_Y_15(X), tptp_fun_X_16(X))) | (~r1(tptp_fun_X_16(X), tptp_fun_Y_17(X))) | (~r1(X, tptp_fun_Y_18(X))) | (~((~p1(tptp_fun_Y_18(X))) | (~p2(tptp_fun_Y_18(X))))) | (~(p1(tptp_fun_Y_18(X)) | p2(tptp_fun_Y_18(X)))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~((~p2(tptp_fun_Y_18(X))) | (~p3(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~(p2(tptp_fun_Y_18(X)) | p3(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~((~p3(tptp_fun_Y_18(X))) | (~p4(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~(p3(tptp_fun_Y_18(X)) | p4(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~((~p4(tptp_fun_Y_18(X))) | (~p5(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~(p4(tptp_fun_Y_18(X)) | p5(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))) | (~((~p5(tptp_fun_Y_18(X))) | (~p6(tptp_fun_Y_18(X))))) | (~(p5(tptp_fun_Y_18(X)) | p6(tptp_fun_Y_18(X)))) | (~((~p6(tptp_fun_Y_18(X))) | (~p7(tptp_fun_Y_18(X))))) | (~(p6(tptp_fun_Y_18(X)) | p7(tptp_fun_Y_18(X)))) | (~((~p7(tptp_fun_Y_18(X))) | (~p8(tptp_fun_Y_18(X))))) | (~(p7(tptp_fun_Y_18(X)) | p8(tptp_fun_Y_18(X)))) | (~((~p8(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p8(tptp_fun_Y_18(X)) | p9(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p9(tptp_fun_Y_18(X)) | p10(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p11(tptp_fun_Y_18(X))))) | (~(p10(tptp_fun_Y_18(X)) | p11(tptp_fun_Y_18(X)))) | (~((~p11(tptp_fun_Y_18(X))) | (~p12(tptp_fun_Y_18(X))))) | (~(p11(tptp_fun_Y_18(X)) | p12(tptp_fun_Y_18(X)))) | (~((~p12(tptp_fun_Y_18(X))) | (~p13(tptp_fun_Y_18(X))))) | (~(p12(tptp_fun_Y_18(X)) | p13(tptp_fun_Y_18(X)))) | (~((~p13(tptp_fun_Y_18(X))) | (~p14(tptp_fun_Y_18(X))))) | (~(p13(tptp_fun_Y_18(X)) | p14(tptp_fun_Y_18(X))))))))),
% 5.60/3.74 inference(bind,[status(th)],[])).
% 5.60/3.74 tff(16,plain,
% 5.60/3.74 (![X: $i] : ((~r1(Y!3, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_5(X))) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~r1(tptp_fun_X_6(X), tptp_fun_Y_7(X))) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~r1(tptp_fun_X_8(X), tptp_fun_Y_9(X))) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))) | (~r1(tptp_fun_X_10(X), tptp_fun_Y_11(X))) | (~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | (~r1(tptp_fun_X_12(X), tptp_fun_Y_13(X))) | (~r1(tptp_fun_Y_13(X), tptp_fun_X_14(X))) | (~r1(tptp_fun_X_14(X), tptp_fun_Y_15(X))) | (~r1(tptp_fun_Y_15(X), tptp_fun_X_16(X))) | (~r1(tptp_fun_X_16(X), tptp_fun_Y_17(X))) | (~r1(X, tptp_fun_Y_18(X))) | (~((~p1(tptp_fun_Y_18(X))) | (~p2(tptp_fun_Y_18(X))))) | (~(p1(tptp_fun_Y_18(X)) | p2(tptp_fun_Y_18(X)))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~((~p2(tptp_fun_Y_18(X))) | (~p3(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~(p2(tptp_fun_Y_18(X)) | p3(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~((~p3(tptp_fun_Y_18(X))) | (~p4(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~(p3(tptp_fun_Y_18(X)) | p4(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~((~p4(tptp_fun_Y_18(X))) | (~p5(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~(p4(tptp_fun_Y_18(X)) | p5(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))) | (~((~p5(tptp_fun_Y_18(X))) | (~p6(tptp_fun_Y_18(X))))) | (~(p5(tptp_fun_Y_18(X)) | p6(tptp_fun_Y_18(X)))) | (~((~p6(tptp_fun_Y_18(X))) | (~p7(tptp_fun_Y_18(X))))) | (~(p6(tptp_fun_Y_18(X)) | p7(tptp_fun_Y_18(X)))) | (~((~p7(tptp_fun_Y_18(X))) | (~p8(tptp_fun_Y_18(X))))) | (~(p7(tptp_fun_Y_18(X)) | p8(tptp_fun_Y_18(X)))) | (~((~p8(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p8(tptp_fun_Y_18(X)) | p9(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p9(tptp_fun_Y_18(X)) | p10(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p11(tptp_fun_Y_18(X))))) | (~(p10(tptp_fun_Y_18(X)) | p11(tptp_fun_Y_18(X)))) | (~((~p11(tptp_fun_Y_18(X))) | (~p12(tptp_fun_Y_18(X))))) | (~(p11(tptp_fun_Y_18(X)) | p12(tptp_fun_Y_18(X)))) | (~((~p12(tptp_fun_Y_18(X))) | (~p13(tptp_fun_Y_18(X))))) | (~(p12(tptp_fun_Y_18(X)) | p13(tptp_fun_Y_18(X)))) | (~((~p13(tptp_fun_Y_18(X))) | (~p14(tptp_fun_Y_18(X))))) | (~(p13(tptp_fun_Y_18(X)) | p14(tptp_fun_Y_18(X))))))) <=> ![X: $i] : ((~r1(Y!3, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_5(X))) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~r1(tptp_fun_X_6(X), tptp_fun_Y_7(X))) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~r1(tptp_fun_X_8(X), tptp_fun_Y_9(X))) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))) | (~r1(tptp_fun_X_10(X), tptp_fun_Y_11(X))) | (~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | (~r1(tptp_fun_X_12(X), tptp_fun_Y_13(X))) | (~r1(tptp_fun_Y_13(X), tptp_fun_X_14(X))) | (~r1(tptp_fun_X_14(X), tptp_fun_Y_15(X))) | (~r1(tptp_fun_Y_15(X), tptp_fun_X_16(X))) | (~r1(tptp_fun_X_16(X), tptp_fun_Y_17(X))) | (~r1(X, tptp_fun_Y_18(X))) | (~((~p1(tptp_fun_Y_18(X))) | (~p2(tptp_fun_Y_18(X))))) | (~(p1(tptp_fun_Y_18(X)) | p2(tptp_fun_Y_18(X)))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~((~p2(tptp_fun_Y_18(X))) | (~p3(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~(p2(tptp_fun_Y_18(X)) | p3(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~((~p3(tptp_fun_Y_18(X))) | (~p4(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~(p3(tptp_fun_Y_18(X)) | p4(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~((~p4(tptp_fun_Y_18(X))) | (~p5(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~(p4(tptp_fun_Y_18(X)) | p5(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))) | (~((~p5(tptp_fun_Y_18(X))) | (~p6(tptp_fun_Y_18(X))))) | (~(p5(tptp_fun_Y_18(X)) | p6(tptp_fun_Y_18(X)))) | (~((~p6(tptp_fun_Y_18(X))) | (~p7(tptp_fun_Y_18(X))))) | (~(p6(tptp_fun_Y_18(X)) | p7(tptp_fun_Y_18(X)))) | (~((~p7(tptp_fun_Y_18(X))) | (~p8(tptp_fun_Y_18(X))))) | (~(p7(tptp_fun_Y_18(X)) | p8(tptp_fun_Y_18(X)))) | (~((~p8(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p8(tptp_fun_Y_18(X)) | p9(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p9(tptp_fun_Y_18(X)) | p10(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p11(tptp_fun_Y_18(X))))) | (~(p10(tptp_fun_Y_18(X)) | p11(tptp_fun_Y_18(X)))) | (~((~p11(tptp_fun_Y_18(X))) | (~p12(tptp_fun_Y_18(X))))) | (~(p11(tptp_fun_Y_18(X)) | p12(tptp_fun_Y_18(X)))) | (~((~p12(tptp_fun_Y_18(X))) | (~p13(tptp_fun_Y_18(X))))) | (~(p12(tptp_fun_Y_18(X)) | p13(tptp_fun_Y_18(X)))) | (~((~p13(tptp_fun_Y_18(X))) | (~p14(tptp_fun_Y_18(X))))) | (~(p13(tptp_fun_Y_18(X)) | p14(tptp_fun_Y_18(X)))))))),
% 5.60/3.74 inference(quant_intro,[status(thm)],[15])).
% 5.60/3.74 tff(17,plain,
% 5.60/3.74 (![X: $i] : ((~r1(Y!3, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_5(X))) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~r1(tptp_fun_X_6(X), tptp_fun_Y_7(X))) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~r1(tptp_fun_X_8(X), tptp_fun_Y_9(X))) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))) | (~r1(tptp_fun_X_10(X), tptp_fun_Y_11(X))) | (~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | (~r1(tptp_fun_X_12(X), tptp_fun_Y_13(X))) | (~r1(tptp_fun_Y_13(X), tptp_fun_X_14(X))) | (~r1(tptp_fun_X_14(X), tptp_fun_Y_15(X))) | (~r1(tptp_fun_Y_15(X), tptp_fun_X_16(X))) | (~r1(tptp_fun_X_16(X), tptp_fun_Y_17(X))) | (~r1(X, tptp_fun_Y_18(X))) | (~((~p1(tptp_fun_Y_18(X))) | (~p2(tptp_fun_Y_18(X))))) | (~(p1(tptp_fun_Y_18(X)) | p2(tptp_fun_Y_18(X)))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~((~p2(tptp_fun_Y_18(X))) | (~p3(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~(p2(tptp_fun_Y_18(X)) | p3(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~((~p3(tptp_fun_Y_18(X))) | (~p4(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~(p3(tptp_fun_Y_18(X)) | p4(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~((~p4(tptp_fun_Y_18(X))) | (~p5(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~(p4(tptp_fun_Y_18(X)) | p5(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))) | (~((~p5(tptp_fun_Y_18(X))) | (~p6(tptp_fun_Y_18(X))))) | (~(p5(tptp_fun_Y_18(X)) | p6(tptp_fun_Y_18(X)))) | (~((~p6(tptp_fun_Y_18(X))) | (~p7(tptp_fun_Y_18(X))))) | (~(p6(tptp_fun_Y_18(X)) | p7(tptp_fun_Y_18(X)))) | (~((~p7(tptp_fun_Y_18(X))) | (~p8(tptp_fun_Y_18(X))))) | (~(p7(tptp_fun_Y_18(X)) | p8(tptp_fun_Y_18(X)))) | (~((~p8(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p8(tptp_fun_Y_18(X)) | p9(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p9(tptp_fun_Y_18(X)) | p10(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p11(tptp_fun_Y_18(X))))) | (~(p10(tptp_fun_Y_18(X)) | p11(tptp_fun_Y_18(X)))) | (~((~p11(tptp_fun_Y_18(X))) | (~p12(tptp_fun_Y_18(X))))) | (~(p11(tptp_fun_Y_18(X)) | p12(tptp_fun_Y_18(X)))) | (~((~p12(tptp_fun_Y_18(X))) | (~p13(tptp_fun_Y_18(X))))) | (~(p12(tptp_fun_Y_18(X)) | p13(tptp_fun_Y_18(X)))) | (~((~p13(tptp_fun_Y_18(X))) | (~p14(tptp_fun_Y_18(X))))) | (~(p13(tptp_fun_Y_18(X)) | p14(tptp_fun_Y_18(X))))))) <=> ![X: $i] : ((~r1(Y!3, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_5(X))) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~r1(tptp_fun_X_6(X), tptp_fun_Y_7(X))) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~r1(tptp_fun_X_8(X), tptp_fun_Y_9(X))) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))) | (~r1(tptp_fun_X_10(X), tptp_fun_Y_11(X))) | (~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | (~r1(tptp_fun_X_12(X), tptp_fun_Y_13(X))) | (~r1(tptp_fun_Y_13(X), tptp_fun_X_14(X))) | (~r1(tptp_fun_X_14(X), tptp_fun_Y_15(X))) | (~r1(tptp_fun_Y_15(X), tptp_fun_X_16(X))) | (~r1(tptp_fun_X_16(X), tptp_fun_Y_17(X))) | (~r1(X, tptp_fun_Y_18(X))) | (~((~p1(tptp_fun_Y_18(X))) | (~p2(tptp_fun_Y_18(X))))) | (~(p1(tptp_fun_Y_18(X)) | p2(tptp_fun_Y_18(X)))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~((~p2(tptp_fun_Y_18(X))) | (~p3(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~(p2(tptp_fun_Y_18(X)) | p3(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~((~p3(tptp_fun_Y_18(X))) | (~p4(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~(p3(tptp_fun_Y_18(X)) | p4(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~((~p4(tptp_fun_Y_18(X))) | (~p5(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~(p4(tptp_fun_Y_18(X)) | p5(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))) | (~((~p5(tptp_fun_Y_18(X))) | (~p6(tptp_fun_Y_18(X))))) | (~(p5(tptp_fun_Y_18(X)) | p6(tptp_fun_Y_18(X)))) | (~((~p6(tptp_fun_Y_18(X))) | (~p7(tptp_fun_Y_18(X))))) | (~(p6(tptp_fun_Y_18(X)) | p7(tptp_fun_Y_18(X)))) | (~((~p7(tptp_fun_Y_18(X))) | (~p8(tptp_fun_Y_18(X))))) | (~(p7(tptp_fun_Y_18(X)) | p8(tptp_fun_Y_18(X)))) | (~((~p8(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p8(tptp_fun_Y_18(X)) | p9(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p9(tptp_fun_Y_18(X)) | p10(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p11(tptp_fun_Y_18(X))))) | (~(p10(tptp_fun_Y_18(X)) | p11(tptp_fun_Y_18(X)))) | (~((~p11(tptp_fun_Y_18(X))) | (~p12(tptp_fun_Y_18(X))))) | (~(p11(tptp_fun_Y_18(X)) | p12(tptp_fun_Y_18(X)))) | (~((~p12(tptp_fun_Y_18(X))) | (~p13(tptp_fun_Y_18(X))))) | (~(p12(tptp_fun_Y_18(X)) | p13(tptp_fun_Y_18(X)))) | (~((~p13(tptp_fun_Y_18(X))) | (~p14(tptp_fun_Y_18(X))))) | (~(p13(tptp_fun_Y_18(X)) | p14(tptp_fun_Y_18(X)))))))),
% 5.60/3.74 inference(transitivity,[status(thm)],[16, 14])).
% 5.60/3.74 tff(18,plain,
% 5.60/3.74 (^[X: $i] : rewrite(((~r1(Y!3, X)) | ((~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)))) & ![Y: $i] : ((~r1(X, Y)) | (~((p2(Y) & (~p1(Y))) | ((~p2(Y)) & p1(Y))))) & r1(X, tptp_fun_Y_5(X)) & ![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((p3(X) & (~p2(X))) | ((~p3(X)) & p2(X))))) & r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)) & ![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((p4(Y) & (~p3(Y))) | ((~p4(Y)) & p3(Y))))) & r1(tptp_fun_X_6(X), tptp_fun_Y_7(X)) & ![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((p5(X) & (~p4(X))) | ((~p5(X)) & p4(X))))) & r1(tptp_fun_Y_7(X), tptp_fun_X_8(X)) & ![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((p6(Y) & (~p5(Y))) | ((~p6(Y)) & p5(Y))))) & r1(tptp_fun_X_8(X), tptp_fun_Y_9(X)) & ![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((p7(X) & (~p6(X))) | ((~p7(X)) & p6(X))))) & r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)) & ![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((p8(Y) & (~p7(Y))) | ((~p8(Y)) & p7(Y))))) & r1(tptp_fun_X_10(X), tptp_fun_Y_11(X)) & ![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((p9(X) & (~p8(X))) | ((~p9(X)) & p8(X))))) & r1(tptp_fun_Y_11(X), tptp_fun_X_12(X)) & ![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((p10(Y) & (~p9(Y))) | ((~p10(Y)) & p9(Y))))) & r1(tptp_fun_X_12(X), tptp_fun_Y_13(X)) & ![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((p11(X) & (~p10(X))) | ((~p11(X)) & p10(X))))) & r1(tptp_fun_Y_13(X), tptp_fun_X_14(X)) & ![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((p12(Y) & (~p11(Y))) | ((~p12(Y)) & p11(Y))))) & r1(tptp_fun_X_14(X), tptp_fun_Y_15(X)) & ![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((p13(X) & (~p12(X))) | ((~p13(X)) & p12(X))))) & r1(tptp_fun_Y_15(X), tptp_fun_X_16(X)) & ![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((p14(Y) & (~p13(Y))) | ((~p14(Y)) & p13(Y))))) & r1(tptp_fun_X_16(X), tptp_fun_Y_17(X)) & (~((~r1(X, tptp_fun_Y_18(X))) | (p2(tptp_fun_Y_18(X)) & p1(tptp_fun_Y_18(X))) | ((~p1(tptp_fun_Y_18(X))) & (~p2(tptp_fun_Y_18(X)))) | (p3(tptp_fun_Y_18(X)) & p2(tptp_fun_Y_18(X))) | ((~p2(tptp_fun_Y_18(X))) & (~p3(tptp_fun_Y_18(X)))) | (p4(tptp_fun_Y_18(X)) & p3(tptp_fun_Y_18(X))) | ((~p3(tptp_fun_Y_18(X))) & (~p4(tptp_fun_Y_18(X)))) | (p5(tptp_fun_Y_18(X)) & p4(tptp_fun_Y_18(X))) | ((~p4(tptp_fun_Y_18(X))) & (~p5(tptp_fun_Y_18(X)))) | (p6(tptp_fun_Y_18(X)) & p5(tptp_fun_Y_18(X))) | ((~p5(tptp_fun_Y_18(X))) & (~p6(tptp_fun_Y_18(X)))) | (p7(tptp_fun_Y_18(X)) & p6(tptp_fun_Y_18(X))) | ((~p6(tptp_fun_Y_18(X))) & (~p7(tptp_fun_Y_18(X)))) | (p8(tptp_fun_Y_18(X)) & p7(tptp_fun_Y_18(X))) | ((~p7(tptp_fun_Y_18(X))) & (~p8(tptp_fun_Y_18(X)))) | (p9(tptp_fun_Y_18(X)) & p8(tptp_fun_Y_18(X))) | ((~p8(tptp_fun_Y_18(X))) & (~p9(tptp_fun_Y_18(X)))) | (p10(tptp_fun_Y_18(X)) & p9(tptp_fun_Y_18(X))) | ((~p9(tptp_fun_Y_18(X))) & (~p10(tptp_fun_Y_18(X)))) | (p11(tptp_fun_Y_18(X)) & p10(tptp_fun_Y_18(X))) | ((~p10(tptp_fun_Y_18(X))) & (~p11(tptp_fun_Y_18(X)))) | (p12(tptp_fun_Y_18(X)) & p11(tptp_fun_Y_18(X))) | ((~p11(tptp_fun_Y_18(X))) & (~p12(tptp_fun_Y_18(X)))) | (p13(tptp_fun_Y_18(X)) & p12(tptp_fun_Y_18(X))) | ((~p12(tptp_fun_Y_18(X))) & (~p13(tptp_fun_Y_18(X)))) | (p14(tptp_fun_Y_18(X)) & p13(tptp_fun_Y_18(X))) | ((~p13(tptp_fun_Y_18(X))) & (~p14(tptp_fun_Y_18(X)))))))) <=> ((~r1(Y!3, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_5(X))) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~r1(tptp_fun_X_6(X), tptp_fun_Y_7(X))) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~r1(tptp_fun_X_8(X), tptp_fun_Y_9(X))) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))) | (~r1(tptp_fun_X_10(X), tptp_fun_Y_11(X))) | (~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | (~r1(tptp_fun_X_12(X), tptp_fun_Y_13(X))) | (~r1(tptp_fun_Y_13(X), tptp_fun_X_14(X))) | (~r1(tptp_fun_X_14(X), tptp_fun_Y_15(X))) | (~r1(tptp_fun_Y_15(X), tptp_fun_X_16(X))) | (~r1(tptp_fun_X_16(X), tptp_fun_Y_17(X))) | (~r1(X, tptp_fun_Y_18(X))) | (~((~p1(tptp_fun_Y_18(X))) | (~p2(tptp_fun_Y_18(X))))) | (~(p1(tptp_fun_Y_18(X)) | p2(tptp_fun_Y_18(X)))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~((~p2(tptp_fun_Y_18(X))) | (~p3(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~(p2(tptp_fun_Y_18(X)) | p3(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~((~p3(tptp_fun_Y_18(X))) | (~p4(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~(p3(tptp_fun_Y_18(X)) | p4(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~((~p4(tptp_fun_Y_18(X))) | (~p5(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~(p4(tptp_fun_Y_18(X)) | p5(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))) | (~((~p5(tptp_fun_Y_18(X))) | (~p6(tptp_fun_Y_18(X))))) | (~(p5(tptp_fun_Y_18(X)) | p6(tptp_fun_Y_18(X)))) | (~((~p6(tptp_fun_Y_18(X))) | (~p7(tptp_fun_Y_18(X))))) | (~(p6(tptp_fun_Y_18(X)) | p7(tptp_fun_Y_18(X)))) | (~((~p7(tptp_fun_Y_18(X))) | (~p8(tptp_fun_Y_18(X))))) | (~(p7(tptp_fun_Y_18(X)) | p8(tptp_fun_Y_18(X)))) | (~((~p8(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p8(tptp_fun_Y_18(X)) | p9(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p9(tptp_fun_Y_18(X)) | p10(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p11(tptp_fun_Y_18(X))))) | (~(p10(tptp_fun_Y_18(X)) | p11(tptp_fun_Y_18(X)))) | (~((~p11(tptp_fun_Y_18(X))) | (~p12(tptp_fun_Y_18(X))))) | (~(p11(tptp_fun_Y_18(X)) | p12(tptp_fun_Y_18(X)))) | (~((~p12(tptp_fun_Y_18(X))) | (~p13(tptp_fun_Y_18(X))))) | (~(p12(tptp_fun_Y_18(X)) | p13(tptp_fun_Y_18(X)))) | (~((~p13(tptp_fun_Y_18(X))) | (~p14(tptp_fun_Y_18(X))))) | (~(p13(tptp_fun_Y_18(X)) | p14(tptp_fun_Y_18(X))))))))),
% 5.60/3.74 inference(bind,[status(th)],[])).
% 5.60/3.74 tff(19,plain,
% 5.60/3.74 (![X: $i] : ((~r1(Y!3, X)) | ((~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)))) & ![Y: $i] : ((~r1(X, Y)) | (~((p2(Y) & (~p1(Y))) | ((~p2(Y)) & p1(Y))))) & r1(X, tptp_fun_Y_5(X)) & ![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((p3(X) & (~p2(X))) | ((~p3(X)) & p2(X))))) & r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)) & ![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((p4(Y) & (~p3(Y))) | ((~p4(Y)) & p3(Y))))) & r1(tptp_fun_X_6(X), tptp_fun_Y_7(X)) & ![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((p5(X) & (~p4(X))) | ((~p5(X)) & p4(X))))) & r1(tptp_fun_Y_7(X), tptp_fun_X_8(X)) & ![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((p6(Y) & (~p5(Y))) | ((~p6(Y)) & p5(Y))))) & r1(tptp_fun_X_8(X), tptp_fun_Y_9(X)) & ![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((p7(X) & (~p6(X))) | ((~p7(X)) & p6(X))))) & r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)) & ![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((p8(Y) & (~p7(Y))) | ((~p8(Y)) & p7(Y))))) & r1(tptp_fun_X_10(X), tptp_fun_Y_11(X)) & ![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((p9(X) & (~p8(X))) | ((~p9(X)) & p8(X))))) & r1(tptp_fun_Y_11(X), tptp_fun_X_12(X)) & ![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((p10(Y) & (~p9(Y))) | ((~p10(Y)) & p9(Y))))) & r1(tptp_fun_X_12(X), tptp_fun_Y_13(X)) & ![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((p11(X) & (~p10(X))) | ((~p11(X)) & p10(X))))) & r1(tptp_fun_Y_13(X), tptp_fun_X_14(X)) & ![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((p12(Y) & (~p11(Y))) | ((~p12(Y)) & p11(Y))))) & r1(tptp_fun_X_14(X), tptp_fun_Y_15(X)) & ![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((p13(X) & (~p12(X))) | ((~p13(X)) & p12(X))))) & r1(tptp_fun_Y_15(X), tptp_fun_X_16(X)) & ![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((p14(Y) & (~p13(Y))) | ((~p14(Y)) & p13(Y))))) & r1(tptp_fun_X_16(X), tptp_fun_Y_17(X)) & (~((~r1(X, tptp_fun_Y_18(X))) | (p2(tptp_fun_Y_18(X)) & p1(tptp_fun_Y_18(X))) | ((~p1(tptp_fun_Y_18(X))) & (~p2(tptp_fun_Y_18(X)))) | (p3(tptp_fun_Y_18(X)) & p2(tptp_fun_Y_18(X))) | ((~p2(tptp_fun_Y_18(X))) & (~p3(tptp_fun_Y_18(X)))) | (p4(tptp_fun_Y_18(X)) & p3(tptp_fun_Y_18(X))) | ((~p3(tptp_fun_Y_18(X))) & (~p4(tptp_fun_Y_18(X)))) | (p5(tptp_fun_Y_18(X)) & p4(tptp_fun_Y_18(X))) | ((~p4(tptp_fun_Y_18(X))) & (~p5(tptp_fun_Y_18(X)))) | (p6(tptp_fun_Y_18(X)) & p5(tptp_fun_Y_18(X))) | ((~p5(tptp_fun_Y_18(X))) & (~p6(tptp_fun_Y_18(X)))) | (p7(tptp_fun_Y_18(X)) & p6(tptp_fun_Y_18(X))) | ((~p6(tptp_fun_Y_18(X))) & (~p7(tptp_fun_Y_18(X)))) | (p8(tptp_fun_Y_18(X)) & p7(tptp_fun_Y_18(X))) | ((~p7(tptp_fun_Y_18(X))) & (~p8(tptp_fun_Y_18(X)))) | (p9(tptp_fun_Y_18(X)) & p8(tptp_fun_Y_18(X))) | ((~p8(tptp_fun_Y_18(X))) & (~p9(tptp_fun_Y_18(X)))) | (p10(tptp_fun_Y_18(X)) & p9(tptp_fun_Y_18(X))) | ((~p9(tptp_fun_Y_18(X))) & (~p10(tptp_fun_Y_18(X)))) | (p11(tptp_fun_Y_18(X)) & p10(tptp_fun_Y_18(X))) | ((~p10(tptp_fun_Y_18(X))) & (~p11(tptp_fun_Y_18(X)))) | (p12(tptp_fun_Y_18(X)) & p11(tptp_fun_Y_18(X))) | ((~p11(tptp_fun_Y_18(X))) & (~p12(tptp_fun_Y_18(X)))) | (p13(tptp_fun_Y_18(X)) & p12(tptp_fun_Y_18(X))) | ((~p12(tptp_fun_Y_18(X))) & (~p13(tptp_fun_Y_18(X)))) | (p14(tptp_fun_Y_18(X)) & p13(tptp_fun_Y_18(X))) | ((~p13(tptp_fun_Y_18(X))) & (~p14(tptp_fun_Y_18(X)))))))) <=> ![X: $i] : ((~r1(Y!3, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_5(X))) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~r1(tptp_fun_X_6(X), tptp_fun_Y_7(X))) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~r1(tptp_fun_X_8(X), tptp_fun_Y_9(X))) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))) | (~r1(tptp_fun_X_10(X), tptp_fun_Y_11(X))) | (~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | (~r1(tptp_fun_X_12(X), tptp_fun_Y_13(X))) | (~r1(tptp_fun_Y_13(X), tptp_fun_X_14(X))) | (~r1(tptp_fun_X_14(X), tptp_fun_Y_15(X))) | (~r1(tptp_fun_Y_15(X), tptp_fun_X_16(X))) | (~r1(tptp_fun_X_16(X), tptp_fun_Y_17(X))) | (~r1(X, tptp_fun_Y_18(X))) | (~((~p1(tptp_fun_Y_18(X))) | (~p2(tptp_fun_Y_18(X))))) | (~(p1(tptp_fun_Y_18(X)) | p2(tptp_fun_Y_18(X)))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~((~p2(tptp_fun_Y_18(X))) | (~p3(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~(p2(tptp_fun_Y_18(X)) | p3(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~((~p3(tptp_fun_Y_18(X))) | (~p4(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~(p3(tptp_fun_Y_18(X)) | p4(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~((~p4(tptp_fun_Y_18(X))) | (~p5(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~(p4(tptp_fun_Y_18(X)) | p5(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))) | (~((~p5(tptp_fun_Y_18(X))) | (~p6(tptp_fun_Y_18(X))))) | (~(p5(tptp_fun_Y_18(X)) | p6(tptp_fun_Y_18(X)))) | (~((~p6(tptp_fun_Y_18(X))) | (~p7(tptp_fun_Y_18(X))))) | (~(p6(tptp_fun_Y_18(X)) | p7(tptp_fun_Y_18(X)))) | (~((~p7(tptp_fun_Y_18(X))) | (~p8(tptp_fun_Y_18(X))))) | (~(p7(tptp_fun_Y_18(X)) | p8(tptp_fun_Y_18(X)))) | (~((~p8(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p8(tptp_fun_Y_18(X)) | p9(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p9(tptp_fun_Y_18(X)) | p10(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p11(tptp_fun_Y_18(X))))) | (~(p10(tptp_fun_Y_18(X)) | p11(tptp_fun_Y_18(X)))) | (~((~p11(tptp_fun_Y_18(X))) | (~p12(tptp_fun_Y_18(X))))) | (~(p11(tptp_fun_Y_18(X)) | p12(tptp_fun_Y_18(X)))) | (~((~p12(tptp_fun_Y_18(X))) | (~p13(tptp_fun_Y_18(X))))) | (~(p12(tptp_fun_Y_18(X)) | p13(tptp_fun_Y_18(X)))) | (~((~p13(tptp_fun_Y_18(X))) | (~p14(tptp_fun_Y_18(X))))) | (~(p13(tptp_fun_Y_18(X)) | p14(tptp_fun_Y_18(X)))))))),
% 5.60/3.75 inference(quant_intro,[status(thm)],[18])).
% 5.60/3.75 tff(20,plain,
% 5.60/3.75 (((r1(X!0, Y!1) & (~((~r1(Y!1, X!2)) | (~p1(X!2)))) & p15(Y!1)) & (r1(X!0, Y!3) & ![X: $i] : ((~r1(Y!3, X)) | ((~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)))) & ![Y: $i] : ((~r1(X, Y)) | (~((p2(Y) & (~p1(Y))) | ((~p2(Y)) & p1(Y))))) & r1(X, tptp_fun_Y_5(X)) & ![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((p3(X) & (~p2(X))) | ((~p3(X)) & p2(X))))) & r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)) & ![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((p4(Y) & (~p3(Y))) | ((~p4(Y)) & p3(Y))))) & r1(tptp_fun_X_6(X), tptp_fun_Y_7(X)) & ![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((p5(X) & (~p4(X))) | ((~p5(X)) & p4(X))))) & r1(tptp_fun_Y_7(X), tptp_fun_X_8(X)) & ![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((p6(Y) & (~p5(Y))) | ((~p6(Y)) & p5(Y))))) & r1(tptp_fun_X_8(X), tptp_fun_Y_9(X)) & ![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((p7(X) & (~p6(X))) | ((~p7(X)) & p6(X))))) & r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)) & ![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((p8(Y) & (~p7(Y))) | ((~p8(Y)) & p7(Y))))) & r1(tptp_fun_X_10(X), tptp_fun_Y_11(X)) & ![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((p9(X) & (~p8(X))) | ((~p9(X)) & p8(X))))) & r1(tptp_fun_Y_11(X), tptp_fun_X_12(X)) & ![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((p10(Y) & (~p9(Y))) | ((~p10(Y)) & p9(Y))))) & r1(tptp_fun_X_12(X), tptp_fun_Y_13(X)) & ![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((p11(X) & (~p10(X))) | ((~p11(X)) & p10(X))))) & r1(tptp_fun_Y_13(X), tptp_fun_X_14(X)) & ![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((p12(Y) & (~p11(Y))) | ((~p12(Y)) & p11(Y))))) & r1(tptp_fun_X_14(X), tptp_fun_Y_15(X)) & ![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((p13(X) & (~p12(X))) | ((~p13(X)) & p12(X))))) & r1(tptp_fun_Y_15(X), tptp_fun_X_16(X)) & ![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((p14(Y) & (~p13(Y))) | ((~p14(Y)) & p13(Y))))) & r1(tptp_fun_X_16(X), tptp_fun_Y_17(X)) & (~((~r1(X, tptp_fun_Y_18(X))) | (p2(tptp_fun_Y_18(X)) & p1(tptp_fun_Y_18(X))) | ((~p1(tptp_fun_Y_18(X))) & (~p2(tptp_fun_Y_18(X)))) | (p3(tptp_fun_Y_18(X)) & p2(tptp_fun_Y_18(X))) | ((~p2(tptp_fun_Y_18(X))) & (~p3(tptp_fun_Y_18(X)))) | (p4(tptp_fun_Y_18(X)) & p3(tptp_fun_Y_18(X))) | ((~p3(tptp_fun_Y_18(X))) & (~p4(tptp_fun_Y_18(X)))) | (p5(tptp_fun_Y_18(X)) & p4(tptp_fun_Y_18(X))) | ((~p4(tptp_fun_Y_18(X))) & (~p5(tptp_fun_Y_18(X)))) | (p6(tptp_fun_Y_18(X)) & p5(tptp_fun_Y_18(X))) | ((~p5(tptp_fun_Y_18(X))) & (~p6(tptp_fun_Y_18(X)))) | (p7(tptp_fun_Y_18(X)) & p6(tptp_fun_Y_18(X))) | ((~p6(tptp_fun_Y_18(X))) & (~p7(tptp_fun_Y_18(X)))) | (p8(tptp_fun_Y_18(X)) & p7(tptp_fun_Y_18(X))) | ((~p7(tptp_fun_Y_18(X))) & (~p8(tptp_fun_Y_18(X)))) | (p9(tptp_fun_Y_18(X)) & p8(tptp_fun_Y_18(X))) | ((~p8(tptp_fun_Y_18(X))) & (~p9(tptp_fun_Y_18(X)))) | (p10(tptp_fun_Y_18(X)) & p9(tptp_fun_Y_18(X))) | ((~p9(tptp_fun_Y_18(X))) & (~p10(tptp_fun_Y_18(X)))) | (p11(tptp_fun_Y_18(X)) & p10(tptp_fun_Y_18(X))) | ((~p10(tptp_fun_Y_18(X))) & (~p11(tptp_fun_Y_18(X)))) | (p12(tptp_fun_Y_18(X)) & p11(tptp_fun_Y_18(X))) | ((~p11(tptp_fun_Y_18(X))) & (~p12(tptp_fun_Y_18(X)))) | (p13(tptp_fun_Y_18(X)) & p12(tptp_fun_Y_18(X))) | ((~p12(tptp_fun_Y_18(X))) & (~p13(tptp_fun_Y_18(X)))) | (p14(tptp_fun_Y_18(X)) & p13(tptp_fun_Y_18(X))) | ((~p13(tptp_fun_Y_18(X))) & (~p14(tptp_fun_Y_18(X)))))))))) <=> (r1(X!0, Y!1) & (~((~r1(Y!1, X!2)) | (~p1(X!2)))) & p15(Y!1) & r1(X!0, Y!3) & ![X: $i] : ((~r1(Y!3, X)) | ((~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)))) & ![Y: $i] : ((~r1(X, Y)) | (~((p2(Y) & (~p1(Y))) | ((~p2(Y)) & p1(Y))))) & r1(X, tptp_fun_Y_5(X)) & ![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((p3(X) & (~p2(X))) | ((~p3(X)) & p2(X))))) & r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)) & ![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((p4(Y) & (~p3(Y))) | ((~p4(Y)) & p3(Y))))) & r1(tptp_fun_X_6(X), tptp_fun_Y_7(X)) & ![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((p5(X) & (~p4(X))) | ((~p5(X)) & p4(X))))) & r1(tptp_fun_Y_7(X), tptp_fun_X_8(X)) & ![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((p6(Y) & (~p5(Y))) | ((~p6(Y)) & p5(Y))))) & r1(tptp_fun_X_8(X), tptp_fun_Y_9(X)) & ![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((p7(X) & (~p6(X))) | ((~p7(X)) & p6(X))))) & r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)) & ![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((p8(Y) & (~p7(Y))) | ((~p8(Y)) & p7(Y))))) & r1(tptp_fun_X_10(X), tptp_fun_Y_11(X)) & ![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((p9(X) & (~p8(X))) | ((~p9(X)) & p8(X))))) & r1(tptp_fun_Y_11(X), tptp_fun_X_12(X)) & ![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((p10(Y) & (~p9(Y))) | ((~p10(Y)) & p9(Y))))) & r1(tptp_fun_X_12(X), tptp_fun_Y_13(X)) & ![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((p11(X) & (~p10(X))) | ((~p11(X)) & p10(X))))) & r1(tptp_fun_Y_13(X), tptp_fun_X_14(X)) & ![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((p12(Y) & (~p11(Y))) | ((~p12(Y)) & p11(Y))))) & r1(tptp_fun_X_14(X), tptp_fun_Y_15(X)) & ![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((p13(X) & (~p12(X))) | ((~p13(X)) & p12(X))))) & r1(tptp_fun_Y_15(X), tptp_fun_X_16(X)) & ![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((p14(Y) & (~p13(Y))) | ((~p14(Y)) & p13(Y))))) & r1(tptp_fun_X_16(X), tptp_fun_Y_17(X)) & (~((~r1(X, tptp_fun_Y_18(X))) | (p2(tptp_fun_Y_18(X)) & p1(tptp_fun_Y_18(X))) | ((~p1(tptp_fun_Y_18(X))) & (~p2(tptp_fun_Y_18(X)))) | (p3(tptp_fun_Y_18(X)) & p2(tptp_fun_Y_18(X))) | ((~p2(tptp_fun_Y_18(X))) & (~p3(tptp_fun_Y_18(X)))) | (p4(tptp_fun_Y_18(X)) & p3(tptp_fun_Y_18(X))) | ((~p3(tptp_fun_Y_18(X))) & (~p4(tptp_fun_Y_18(X)))) | (p5(tptp_fun_Y_18(X)) & p4(tptp_fun_Y_18(X))) | ((~p4(tptp_fun_Y_18(X))) & (~p5(tptp_fun_Y_18(X)))) | (p6(tptp_fun_Y_18(X)) & p5(tptp_fun_Y_18(X))) | ((~p5(tptp_fun_Y_18(X))) & (~p6(tptp_fun_Y_18(X)))) | (p7(tptp_fun_Y_18(X)) & p6(tptp_fun_Y_18(X))) | ((~p6(tptp_fun_Y_18(X))) & (~p7(tptp_fun_Y_18(X)))) | (p8(tptp_fun_Y_18(X)) & p7(tptp_fun_Y_18(X))) | ((~p7(tptp_fun_Y_18(X))) & (~p8(tptp_fun_Y_18(X)))) | (p9(tptp_fun_Y_18(X)) & p8(tptp_fun_Y_18(X))) | ((~p8(tptp_fun_Y_18(X))) & (~p9(tptp_fun_Y_18(X)))) | (p10(tptp_fun_Y_18(X)) & p9(tptp_fun_Y_18(X))) | ((~p9(tptp_fun_Y_18(X))) & (~p10(tptp_fun_Y_18(X)))) | (p11(tptp_fun_Y_18(X)) & p10(tptp_fun_Y_18(X))) | ((~p10(tptp_fun_Y_18(X))) & (~p11(tptp_fun_Y_18(X)))) | (p12(tptp_fun_Y_18(X)) & p11(tptp_fun_Y_18(X))) | ((~p11(tptp_fun_Y_18(X))) & (~p12(tptp_fun_Y_18(X)))) | (p13(tptp_fun_Y_18(X)) & p12(tptp_fun_Y_18(X))) | ((~p12(tptp_fun_Y_18(X))) & (~p13(tptp_fun_Y_18(X)))) | (p14(tptp_fun_Y_18(X)) & p13(tptp_fun_Y_18(X))) | ((~p13(tptp_fun_Y_18(X))) & (~p14(tptp_fun_Y_18(X)))))))))),
% 5.60/3.75 inference(rewrite,[status(thm)],[])).
% 5.60/3.75 tff(21,plain,
% 5.60/3.75 (((~(~r1(X!0, Y!3))) & ![X: $i] : ((~r1(Y!3, X)) | ((~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)))) & ![Y: $i] : ((~r1(X, Y)) | (~((p2(Y) & (~p1(Y))) | ((~p2(Y)) & p1(Y))))) & ((~(~r1(X, tptp_fun_Y_5(X)))) & ![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((p3(X) & (~p2(X))) | ((~p3(X)) & p2(X))))) & ((~(~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))) & ![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((p4(Y) & (~p3(Y))) | ((~p4(Y)) & p3(Y))))) & ((~(~r1(tptp_fun_X_6(X), tptp_fun_Y_7(X)))) & ![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((p5(X) & (~p4(X))) | ((~p5(X)) & p4(X))))) & ((~(~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X)))) & ![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((p6(Y) & (~p5(Y))) | ((~p6(Y)) & p5(Y))))) & ((~(~r1(tptp_fun_X_8(X), tptp_fun_Y_9(X)))) & ![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((p7(X) & (~p6(X))) | ((~p7(X)) & p6(X))))) & ((~(~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))) & ![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((p8(Y) & (~p7(Y))) | ((~p8(Y)) & p7(Y))))) & ((~(~r1(tptp_fun_X_10(X), tptp_fun_Y_11(X)))) & ![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((p9(X) & (~p8(X))) | ((~p9(X)) & p8(X))))) & ((~(~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X)))) & ![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((p10(Y) & (~p9(Y))) | ((~p10(Y)) & p9(Y))))) & ((~(~r1(tptp_fun_X_12(X), tptp_fun_Y_13(X)))) & ![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((p11(X) & (~p10(X))) | ((~p11(X)) & p10(X))))) & ((~(~r1(tptp_fun_Y_13(X), tptp_fun_X_14(X)))) & ![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((p12(Y) & (~p11(Y))) | ((~p12(Y)) & p11(Y))))) & ((~(~r1(tptp_fun_X_14(X), tptp_fun_Y_15(X)))) & ![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((p13(X) & (~p12(X))) | ((~p13(X)) & p12(X))))) & ((~(~r1(tptp_fun_Y_15(X), tptp_fun_X_16(X)))) & ![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((p14(Y) & (~p13(Y))) | ((~p14(Y)) & p13(Y))))) & (~(~r1(tptp_fun_X_16(X), tptp_fun_Y_17(X)))))))))))))))) & (~((~r1(X, tptp_fun_Y_18(X))) | (p2(tptp_fun_Y_18(X)) & p1(tptp_fun_Y_18(X))) | ((~p1(tptp_fun_Y_18(X))) & (~p2(tptp_fun_Y_18(X)))) | (p3(tptp_fun_Y_18(X)) & p2(tptp_fun_Y_18(X))) | ((~p2(tptp_fun_Y_18(X))) & (~p3(tptp_fun_Y_18(X)))) | (p4(tptp_fun_Y_18(X)) & p3(tptp_fun_Y_18(X))) | ((~p3(tptp_fun_Y_18(X))) & (~p4(tptp_fun_Y_18(X)))) | (p5(tptp_fun_Y_18(X)) & p4(tptp_fun_Y_18(X))) | ((~p4(tptp_fun_Y_18(X))) & (~p5(tptp_fun_Y_18(X)))) | (p6(tptp_fun_Y_18(X)) & p5(tptp_fun_Y_18(X))) | ((~p5(tptp_fun_Y_18(X))) & (~p6(tptp_fun_Y_18(X)))) | (p7(tptp_fun_Y_18(X)) & p6(tptp_fun_Y_18(X))) | ((~p6(tptp_fun_Y_18(X))) & (~p7(tptp_fun_Y_18(X)))) | (p8(tptp_fun_Y_18(X)) & p7(tptp_fun_Y_18(X))) | ((~p7(tptp_fun_Y_18(X))) & (~p8(tptp_fun_Y_18(X)))) | (p9(tptp_fun_Y_18(X)) & p8(tptp_fun_Y_18(X))) | ((~p8(tptp_fun_Y_18(X))) & (~p9(tptp_fun_Y_18(X)))) | (p10(tptp_fun_Y_18(X)) & p9(tptp_fun_Y_18(X))) | ((~p9(tptp_fun_Y_18(X))) & (~p10(tptp_fun_Y_18(X)))) | (p11(tptp_fun_Y_18(X)) & p10(tptp_fun_Y_18(X))) | ((~p10(tptp_fun_Y_18(X))) & (~p11(tptp_fun_Y_18(X)))) | (p12(tptp_fun_Y_18(X)) & p11(tptp_fun_Y_18(X))) | ((~p11(tptp_fun_Y_18(X))) & (~p12(tptp_fun_Y_18(X)))) | (p13(tptp_fun_Y_18(X)) & p12(tptp_fun_Y_18(X))) | ((~p12(tptp_fun_Y_18(X))) & (~p13(tptp_fun_Y_18(X)))) | (p14(tptp_fun_Y_18(X)) & p13(tptp_fun_Y_18(X))) | ((~p13(tptp_fun_Y_18(X))) & (~p14(tptp_fun_Y_18(X))))))))) <=> (r1(X!0, Y!3) & ![X: $i] : ((~r1(Y!3, X)) | ((~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)))) & ![Y: $i] : ((~r1(X, Y)) | (~((p2(Y) & (~p1(Y))) | ((~p2(Y)) & p1(Y))))) & r1(X, tptp_fun_Y_5(X)) & ![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((p3(X) & (~p2(X))) | ((~p3(X)) & p2(X))))) & r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)) & ![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((p4(Y) & (~p3(Y))) | ((~p4(Y)) & p3(Y))))) & r1(tptp_fun_X_6(X), tptp_fun_Y_7(X)) & ![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((p5(X) & (~p4(X))) | ((~p5(X)) & p4(X))))) & r1(tptp_fun_Y_7(X), tptp_fun_X_8(X)) & ![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((p6(Y) & (~p5(Y))) | ((~p6(Y)) & p5(Y))))) & r1(tptp_fun_X_8(X), tptp_fun_Y_9(X)) & ![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((p7(X) & (~p6(X))) | ((~p7(X)) & p6(X))))) & r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)) & ![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((p8(Y) & (~p7(Y))) | ((~p8(Y)) & p7(Y))))) & r1(tptp_fun_X_10(X), tptp_fun_Y_11(X)) & ![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((p9(X) & (~p8(X))) | ((~p9(X)) & p8(X))))) & r1(tptp_fun_Y_11(X), tptp_fun_X_12(X)) & ![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((p10(Y) & (~p9(Y))) | ((~p10(Y)) & p9(Y))))) & r1(tptp_fun_X_12(X), tptp_fun_Y_13(X)) & ![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((p11(X) & (~p10(X))) | ((~p11(X)) & p10(X))))) & r1(tptp_fun_Y_13(X), tptp_fun_X_14(X)) & ![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((p12(Y) & (~p11(Y))) | ((~p12(Y)) & p11(Y))))) & r1(tptp_fun_X_14(X), tptp_fun_Y_15(X)) & ![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((p13(X) & (~p12(X))) | ((~p13(X)) & p12(X))))) & r1(tptp_fun_Y_15(X), tptp_fun_X_16(X)) & ![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((p14(Y) & (~p13(Y))) | ((~p14(Y)) & p13(Y))))) & r1(tptp_fun_X_16(X), tptp_fun_Y_17(X)) & (~((~r1(X, tptp_fun_Y_18(X))) | (p2(tptp_fun_Y_18(X)) & p1(tptp_fun_Y_18(X))) | ((~p1(tptp_fun_Y_18(X))) & (~p2(tptp_fun_Y_18(X)))) | (p3(tptp_fun_Y_18(X)) & p2(tptp_fun_Y_18(X))) | ((~p2(tptp_fun_Y_18(X))) & (~p3(tptp_fun_Y_18(X)))) | (p4(tptp_fun_Y_18(X)) & p3(tptp_fun_Y_18(X))) | ((~p3(tptp_fun_Y_18(X))) & (~p4(tptp_fun_Y_18(X)))) | (p5(tptp_fun_Y_18(X)) & p4(tptp_fun_Y_18(X))) | ((~p4(tptp_fun_Y_18(X))) & (~p5(tptp_fun_Y_18(X)))) | (p6(tptp_fun_Y_18(X)) & p5(tptp_fun_Y_18(X))) | ((~p5(tptp_fun_Y_18(X))) & (~p6(tptp_fun_Y_18(X)))) | (p7(tptp_fun_Y_18(X)) & p6(tptp_fun_Y_18(X))) | ((~p6(tptp_fun_Y_18(X))) & (~p7(tptp_fun_Y_18(X)))) | (p8(tptp_fun_Y_18(X)) & p7(tptp_fun_Y_18(X))) | ((~p7(tptp_fun_Y_18(X))) & (~p8(tptp_fun_Y_18(X)))) | (p9(tptp_fun_Y_18(X)) & p8(tptp_fun_Y_18(X))) | ((~p8(tptp_fun_Y_18(X))) & (~p9(tptp_fun_Y_18(X)))) | (p10(tptp_fun_Y_18(X)) & p9(tptp_fun_Y_18(X))) | ((~p9(tptp_fun_Y_18(X))) & (~p10(tptp_fun_Y_18(X)))) | (p11(tptp_fun_Y_18(X)) & p10(tptp_fun_Y_18(X))) | ((~p10(tptp_fun_Y_18(X))) & (~p11(tptp_fun_Y_18(X)))) | (p12(tptp_fun_Y_18(X)) & p11(tptp_fun_Y_18(X))) | ((~p11(tptp_fun_Y_18(X))) & (~p12(tptp_fun_Y_18(X)))) | (p13(tptp_fun_Y_18(X)) & p12(tptp_fun_Y_18(X))) | ((~p12(tptp_fun_Y_18(X))) & (~p13(tptp_fun_Y_18(X)))) | (p14(tptp_fun_Y_18(X)) & p13(tptp_fun_Y_18(X))) | ((~p13(tptp_fun_Y_18(X))) & (~p14(tptp_fun_Y_18(X)))))))))),
% 5.60/3.75 inference(rewrite,[status(thm)],[])).
% 5.60/3.75 tff(22,plain,
% 5.60/3.75 (((~(~r1(X!0, Y!1))) & (~((~r1(Y!1, X!2)) | (~p1(X!2)))) & (~(~p15(Y!1)))) <=> (r1(X!0, Y!1) & (~((~r1(Y!1, X!2)) | (~p1(X!2)))) & p15(Y!1))),
% 5.60/3.75 inference(rewrite,[status(thm)],[])).
% 5.60/3.75 tff(23,plain,
% 5.60/3.75 ((((~(~r1(X!0, Y!1))) & (~((~r1(Y!1, X!2)) | (~p1(X!2)))) & (~(~p15(Y!1)))) & ((~(~r1(X!0, Y!3))) & ![X: $i] : ((~r1(Y!3, X)) | ((~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)))) & ![Y: $i] : ((~r1(X, Y)) | (~((p2(Y) & (~p1(Y))) | ((~p2(Y)) & p1(Y))))) & ((~(~r1(X, tptp_fun_Y_5(X)))) & ![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((p3(X) & (~p2(X))) | ((~p3(X)) & p2(X))))) & ((~(~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))) & ![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((p4(Y) & (~p3(Y))) | ((~p4(Y)) & p3(Y))))) & ((~(~r1(tptp_fun_X_6(X), tptp_fun_Y_7(X)))) & ![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((p5(X) & (~p4(X))) | ((~p5(X)) & p4(X))))) & ((~(~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X)))) & ![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((p6(Y) & (~p5(Y))) | ((~p6(Y)) & p5(Y))))) & ((~(~r1(tptp_fun_X_8(X), tptp_fun_Y_9(X)))) & ![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((p7(X) & (~p6(X))) | ((~p7(X)) & p6(X))))) & ((~(~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))) & ![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((p8(Y) & (~p7(Y))) | ((~p8(Y)) & p7(Y))))) & ((~(~r1(tptp_fun_X_10(X), tptp_fun_Y_11(X)))) & ![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((p9(X) & (~p8(X))) | ((~p9(X)) & p8(X))))) & ((~(~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X)))) & ![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((p10(Y) & (~p9(Y))) | ((~p10(Y)) & p9(Y))))) & ((~(~r1(tptp_fun_X_12(X), tptp_fun_Y_13(X)))) & ![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((p11(X) & (~p10(X))) | ((~p11(X)) & p10(X))))) & ((~(~r1(tptp_fun_Y_13(X), tptp_fun_X_14(X)))) & ![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((p12(Y) & (~p11(Y))) | ((~p12(Y)) & p11(Y))))) & ((~(~r1(tptp_fun_X_14(X), tptp_fun_Y_15(X)))) & ![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((p13(X) & (~p12(X))) | ((~p13(X)) & p12(X))))) & ((~(~r1(tptp_fun_Y_15(X), tptp_fun_X_16(X)))) & ![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((p14(Y) & (~p13(Y))) | ((~p14(Y)) & p13(Y))))) & (~(~r1(tptp_fun_X_16(X), tptp_fun_Y_17(X)))))))))))))))) & (~((~r1(X, tptp_fun_Y_18(X))) | (p2(tptp_fun_Y_18(X)) & p1(tptp_fun_Y_18(X))) | ((~p1(tptp_fun_Y_18(X))) & (~p2(tptp_fun_Y_18(X)))) | (p3(tptp_fun_Y_18(X)) & p2(tptp_fun_Y_18(X))) | ((~p2(tptp_fun_Y_18(X))) & (~p3(tptp_fun_Y_18(X)))) | (p4(tptp_fun_Y_18(X)) & p3(tptp_fun_Y_18(X))) | ((~p3(tptp_fun_Y_18(X))) & (~p4(tptp_fun_Y_18(X)))) | (p5(tptp_fun_Y_18(X)) & p4(tptp_fun_Y_18(X))) | ((~p4(tptp_fun_Y_18(X))) & (~p5(tptp_fun_Y_18(X)))) | (p6(tptp_fun_Y_18(X)) & p5(tptp_fun_Y_18(X))) | ((~p5(tptp_fun_Y_18(X))) & (~p6(tptp_fun_Y_18(X)))) | (p7(tptp_fun_Y_18(X)) & p6(tptp_fun_Y_18(X))) | ((~p6(tptp_fun_Y_18(X))) & (~p7(tptp_fun_Y_18(X)))) | (p8(tptp_fun_Y_18(X)) & p7(tptp_fun_Y_18(X))) | ((~p7(tptp_fun_Y_18(X))) & (~p8(tptp_fun_Y_18(X)))) | (p9(tptp_fun_Y_18(X)) & p8(tptp_fun_Y_18(X))) | ((~p8(tptp_fun_Y_18(X))) & (~p9(tptp_fun_Y_18(X)))) | (p10(tptp_fun_Y_18(X)) & p9(tptp_fun_Y_18(X))) | ((~p9(tptp_fun_Y_18(X))) & (~p10(tptp_fun_Y_18(X)))) | (p11(tptp_fun_Y_18(X)) & p10(tptp_fun_Y_18(X))) | ((~p10(tptp_fun_Y_18(X))) & (~p11(tptp_fun_Y_18(X)))) | (p12(tptp_fun_Y_18(X)) & p11(tptp_fun_Y_18(X))) | ((~p11(tptp_fun_Y_18(X))) & (~p12(tptp_fun_Y_18(X)))) | (p13(tptp_fun_Y_18(X)) & p12(tptp_fun_Y_18(X))) | ((~p12(tptp_fun_Y_18(X))) & (~p13(tptp_fun_Y_18(X)))) | (p14(tptp_fun_Y_18(X)) & p13(tptp_fun_Y_18(X))) | ((~p13(tptp_fun_Y_18(X))) & (~p14(tptp_fun_Y_18(X)))))))))) <=> ((r1(X!0, Y!1) & (~((~r1(Y!1, X!2)) | (~p1(X!2)))) & p15(Y!1)) & (r1(X!0, Y!3) & ![X: $i] : ((~r1(Y!3, X)) | ((~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)))) & ![Y: $i] : ((~r1(X, Y)) | (~((p2(Y) & (~p1(Y))) | ((~p2(Y)) & p1(Y))))) & r1(X, tptp_fun_Y_5(X)) & ![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((p3(X) & (~p2(X))) | ((~p3(X)) & p2(X))))) & r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)) & ![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((p4(Y) & (~p3(Y))) | ((~p4(Y)) & p3(Y))))) & r1(tptp_fun_X_6(X), tptp_fun_Y_7(X)) & ![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((p5(X) & (~p4(X))) | ((~p5(X)) & p4(X))))) & r1(tptp_fun_Y_7(X), tptp_fun_X_8(X)) & ![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((p6(Y) & (~p5(Y))) | ((~p6(Y)) & p5(Y))))) & r1(tptp_fun_X_8(X), tptp_fun_Y_9(X)) & ![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((p7(X) & (~p6(X))) | ((~p7(X)) & p6(X))))) & r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)) & ![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((p8(Y) & (~p7(Y))) | ((~p8(Y)) & p7(Y))))) & r1(tptp_fun_X_10(X), tptp_fun_Y_11(X)) & ![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((p9(X) & (~p8(X))) | ((~p9(X)) & p8(X))))) & r1(tptp_fun_Y_11(X), tptp_fun_X_12(X)) & ![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((p10(Y) & (~p9(Y))) | ((~p10(Y)) & p9(Y))))) & r1(tptp_fun_X_12(X), tptp_fun_Y_13(X)) & ![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((p11(X) & (~p10(X))) | ((~p11(X)) & p10(X))))) & r1(tptp_fun_Y_13(X), tptp_fun_X_14(X)) & ![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((p12(Y) & (~p11(Y))) | ((~p12(Y)) & p11(Y))))) & r1(tptp_fun_X_14(X), tptp_fun_Y_15(X)) & ![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((p13(X) & (~p12(X))) | ((~p13(X)) & p12(X))))) & r1(tptp_fun_Y_15(X), tptp_fun_X_16(X)) & ![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((p14(Y) & (~p13(Y))) | ((~p14(Y)) & p13(Y))))) & r1(tptp_fun_X_16(X), tptp_fun_Y_17(X)) & (~((~r1(X, tptp_fun_Y_18(X))) | (p2(tptp_fun_Y_18(X)) & p1(tptp_fun_Y_18(X))) | ((~p1(tptp_fun_Y_18(X))) & (~p2(tptp_fun_Y_18(X)))) | (p3(tptp_fun_Y_18(X)) & p2(tptp_fun_Y_18(X))) | ((~p2(tptp_fun_Y_18(X))) & (~p3(tptp_fun_Y_18(X)))) | (p4(tptp_fun_Y_18(X)) & p3(tptp_fun_Y_18(X))) | ((~p3(tptp_fun_Y_18(X))) & (~p4(tptp_fun_Y_18(X)))) | (p5(tptp_fun_Y_18(X)) & p4(tptp_fun_Y_18(X))) | ((~p4(tptp_fun_Y_18(X))) & (~p5(tptp_fun_Y_18(X)))) | (p6(tptp_fun_Y_18(X)) & p5(tptp_fun_Y_18(X))) | ((~p5(tptp_fun_Y_18(X))) & (~p6(tptp_fun_Y_18(X)))) | (p7(tptp_fun_Y_18(X)) & p6(tptp_fun_Y_18(X))) | ((~p6(tptp_fun_Y_18(X))) & (~p7(tptp_fun_Y_18(X)))) | (p8(tptp_fun_Y_18(X)) & p7(tptp_fun_Y_18(X))) | ((~p7(tptp_fun_Y_18(X))) & (~p8(tptp_fun_Y_18(X)))) | (p9(tptp_fun_Y_18(X)) & p8(tptp_fun_Y_18(X))) | ((~p8(tptp_fun_Y_18(X))) & (~p9(tptp_fun_Y_18(X)))) | (p10(tptp_fun_Y_18(X)) & p9(tptp_fun_Y_18(X))) | ((~p9(tptp_fun_Y_18(X))) & (~p10(tptp_fun_Y_18(X)))) | (p11(tptp_fun_Y_18(X)) & p10(tptp_fun_Y_18(X))) | ((~p10(tptp_fun_Y_18(X))) & (~p11(tptp_fun_Y_18(X)))) | (p12(tptp_fun_Y_18(X)) & p11(tptp_fun_Y_18(X))) | ((~p11(tptp_fun_Y_18(X))) & (~p12(tptp_fun_Y_18(X)))) | (p13(tptp_fun_Y_18(X)) & p12(tptp_fun_Y_18(X))) | ((~p12(tptp_fun_Y_18(X))) & (~p13(tptp_fun_Y_18(X)))) | (p14(tptp_fun_Y_18(X)) & p13(tptp_fun_Y_18(X))) | ((~p13(tptp_fun_Y_18(X))) & (~p14(tptp_fun_Y_18(X))))))))))),
% 5.60/3.75 inference(monotonicity,[status(thm)],[22, 21])).
% 5.60/3.75 tff(24,plain,
% 5.60/3.75 ((((~(~r1(X!0, Y!1))) & (~((~r1(Y!1, X!2)) | (~p1(X!2)))) & (~(~p15(Y!1)))) & ((~(~r1(X!0, Y!3))) & ![X: $i] : ((~r1(Y!3, X)) | ((~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)))) & ![Y: $i] : ((~r1(X, Y)) | (~((p2(Y) & (~p1(Y))) | ((~p2(Y)) & p1(Y))))) & ((~(~r1(X, tptp_fun_Y_5(X)))) & ![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((p3(X) & (~p2(X))) | ((~p3(X)) & p2(X))))) & ((~(~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))) & ![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((p4(Y) & (~p3(Y))) | ((~p4(Y)) & p3(Y))))) & ((~(~r1(tptp_fun_X_6(X), tptp_fun_Y_7(X)))) & ![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((p5(X) & (~p4(X))) | ((~p5(X)) & p4(X))))) & ((~(~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X)))) & ![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((p6(Y) & (~p5(Y))) | ((~p6(Y)) & p5(Y))))) & ((~(~r1(tptp_fun_X_8(X), tptp_fun_Y_9(X)))) & ![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((p7(X) & (~p6(X))) | ((~p7(X)) & p6(X))))) & ((~(~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))) & ![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((p8(Y) & (~p7(Y))) | ((~p8(Y)) & p7(Y))))) & ((~(~r1(tptp_fun_X_10(X), tptp_fun_Y_11(X)))) & ![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((p9(X) & (~p8(X))) | ((~p9(X)) & p8(X))))) & ((~(~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X)))) & ![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((p10(Y) & (~p9(Y))) | ((~p10(Y)) & p9(Y))))) & ((~(~r1(tptp_fun_X_12(X), tptp_fun_Y_13(X)))) & ![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((p11(X) & (~p10(X))) | ((~p11(X)) & p10(X))))) & ((~(~r1(tptp_fun_Y_13(X), tptp_fun_X_14(X)))) & ![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((p12(Y) & (~p11(Y))) | ((~p12(Y)) & p11(Y))))) & ((~(~r1(tptp_fun_X_14(X), tptp_fun_Y_15(X)))) & ![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((p13(X) & (~p12(X))) | ((~p13(X)) & p12(X))))) & ((~(~r1(tptp_fun_Y_15(X), tptp_fun_X_16(X)))) & ![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((p14(Y) & (~p13(Y))) | ((~p14(Y)) & p13(Y))))) & (~(~r1(tptp_fun_X_16(X), tptp_fun_Y_17(X)))))))))))))))) & (~((~r1(X, tptp_fun_Y_18(X))) | (p2(tptp_fun_Y_18(X)) & p1(tptp_fun_Y_18(X))) | ((~p1(tptp_fun_Y_18(X))) & (~p2(tptp_fun_Y_18(X)))) | (p3(tptp_fun_Y_18(X)) & p2(tptp_fun_Y_18(X))) | ((~p2(tptp_fun_Y_18(X))) & (~p3(tptp_fun_Y_18(X)))) | (p4(tptp_fun_Y_18(X)) & p3(tptp_fun_Y_18(X))) | ((~p3(tptp_fun_Y_18(X))) & (~p4(tptp_fun_Y_18(X)))) | (p5(tptp_fun_Y_18(X)) & p4(tptp_fun_Y_18(X))) | ((~p4(tptp_fun_Y_18(X))) & (~p5(tptp_fun_Y_18(X)))) | (p6(tptp_fun_Y_18(X)) & p5(tptp_fun_Y_18(X))) | ((~p5(tptp_fun_Y_18(X))) & (~p6(tptp_fun_Y_18(X)))) | (p7(tptp_fun_Y_18(X)) & p6(tptp_fun_Y_18(X))) | ((~p6(tptp_fun_Y_18(X))) & (~p7(tptp_fun_Y_18(X)))) | (p8(tptp_fun_Y_18(X)) & p7(tptp_fun_Y_18(X))) | ((~p7(tptp_fun_Y_18(X))) & (~p8(tptp_fun_Y_18(X)))) | (p9(tptp_fun_Y_18(X)) & p8(tptp_fun_Y_18(X))) | ((~p8(tptp_fun_Y_18(X))) & (~p9(tptp_fun_Y_18(X)))) | (p10(tptp_fun_Y_18(X)) & p9(tptp_fun_Y_18(X))) | ((~p9(tptp_fun_Y_18(X))) & (~p10(tptp_fun_Y_18(X)))) | (p11(tptp_fun_Y_18(X)) & p10(tptp_fun_Y_18(X))) | ((~p10(tptp_fun_Y_18(X))) & (~p11(tptp_fun_Y_18(X)))) | (p12(tptp_fun_Y_18(X)) & p11(tptp_fun_Y_18(X))) | ((~p11(tptp_fun_Y_18(X))) & (~p12(tptp_fun_Y_18(X)))) | (p13(tptp_fun_Y_18(X)) & p12(tptp_fun_Y_18(X))) | ((~p12(tptp_fun_Y_18(X))) & (~p13(tptp_fun_Y_18(X)))) | (p14(tptp_fun_Y_18(X)) & p13(tptp_fun_Y_18(X))) | ((~p13(tptp_fun_Y_18(X))) & (~p14(tptp_fun_Y_18(X)))))))))) <=> (r1(X!0, Y!1) & (~((~r1(Y!1, X!2)) | (~p1(X!2)))) & p15(Y!1) & r1(X!0, Y!3) & ![X: $i] : ((~r1(Y!3, X)) | ((~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)))) & ![Y: $i] : ((~r1(X, Y)) | (~((p2(Y) & (~p1(Y))) | ((~p2(Y)) & p1(Y))))) & r1(X, tptp_fun_Y_5(X)) & ![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((p3(X) & (~p2(X))) | ((~p3(X)) & p2(X))))) & r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)) & ![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((p4(Y) & (~p3(Y))) | ((~p4(Y)) & p3(Y))))) & r1(tptp_fun_X_6(X), tptp_fun_Y_7(X)) & ![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((p5(X) & (~p4(X))) | ((~p5(X)) & p4(X))))) & r1(tptp_fun_Y_7(X), tptp_fun_X_8(X)) & ![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((p6(Y) & (~p5(Y))) | ((~p6(Y)) & p5(Y))))) & r1(tptp_fun_X_8(X), tptp_fun_Y_9(X)) & ![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((p7(X) & (~p6(X))) | ((~p7(X)) & p6(X))))) & r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)) & ![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((p8(Y) & (~p7(Y))) | ((~p8(Y)) & p7(Y))))) & r1(tptp_fun_X_10(X), tptp_fun_Y_11(X)) & ![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((p9(X) & (~p8(X))) | ((~p9(X)) & p8(X))))) & r1(tptp_fun_Y_11(X), tptp_fun_X_12(X)) & ![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((p10(Y) & (~p9(Y))) | ((~p10(Y)) & p9(Y))))) & r1(tptp_fun_X_12(X), tptp_fun_Y_13(X)) & ![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((p11(X) & (~p10(X))) | ((~p11(X)) & p10(X))))) & r1(tptp_fun_Y_13(X), tptp_fun_X_14(X)) & ![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((p12(Y) & (~p11(Y))) | ((~p12(Y)) & p11(Y))))) & r1(tptp_fun_X_14(X), tptp_fun_Y_15(X)) & ![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((p13(X) & (~p12(X))) | ((~p13(X)) & p12(X))))) & r1(tptp_fun_Y_15(X), tptp_fun_X_16(X)) & ![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((p14(Y) & (~p13(Y))) | ((~p14(Y)) & p13(Y))))) & r1(tptp_fun_X_16(X), tptp_fun_Y_17(X)) & (~((~r1(X, tptp_fun_Y_18(X))) | (p2(tptp_fun_Y_18(X)) & p1(tptp_fun_Y_18(X))) | ((~p1(tptp_fun_Y_18(X))) & (~p2(tptp_fun_Y_18(X)))) | (p3(tptp_fun_Y_18(X)) & p2(tptp_fun_Y_18(X))) | ((~p2(tptp_fun_Y_18(X))) & (~p3(tptp_fun_Y_18(X)))) | (p4(tptp_fun_Y_18(X)) & p3(tptp_fun_Y_18(X))) | ((~p3(tptp_fun_Y_18(X))) & (~p4(tptp_fun_Y_18(X)))) | (p5(tptp_fun_Y_18(X)) & p4(tptp_fun_Y_18(X))) | ((~p4(tptp_fun_Y_18(X))) & (~p5(tptp_fun_Y_18(X)))) | (p6(tptp_fun_Y_18(X)) & p5(tptp_fun_Y_18(X))) | ((~p5(tptp_fun_Y_18(X))) & (~p6(tptp_fun_Y_18(X)))) | (p7(tptp_fun_Y_18(X)) & p6(tptp_fun_Y_18(X))) | ((~p6(tptp_fun_Y_18(X))) & (~p7(tptp_fun_Y_18(X)))) | (p8(tptp_fun_Y_18(X)) & p7(tptp_fun_Y_18(X))) | ((~p7(tptp_fun_Y_18(X))) & (~p8(tptp_fun_Y_18(X)))) | (p9(tptp_fun_Y_18(X)) & p8(tptp_fun_Y_18(X))) | ((~p8(tptp_fun_Y_18(X))) & (~p9(tptp_fun_Y_18(X)))) | (p10(tptp_fun_Y_18(X)) & p9(tptp_fun_Y_18(X))) | ((~p9(tptp_fun_Y_18(X))) & (~p10(tptp_fun_Y_18(X)))) | (p11(tptp_fun_Y_18(X)) & p10(tptp_fun_Y_18(X))) | ((~p10(tptp_fun_Y_18(X))) & (~p11(tptp_fun_Y_18(X)))) | (p12(tptp_fun_Y_18(X)) & p11(tptp_fun_Y_18(X))) | ((~p11(tptp_fun_Y_18(X))) & (~p12(tptp_fun_Y_18(X)))) | (p13(tptp_fun_Y_18(X)) & p12(tptp_fun_Y_18(X))) | ((~p12(tptp_fun_Y_18(X))) & (~p13(tptp_fun_Y_18(X)))) | (p14(tptp_fun_Y_18(X)) & p13(tptp_fun_Y_18(X))) | ((~p13(tptp_fun_Y_18(X))) & (~p14(tptp_fun_Y_18(X)))))))))),
% 5.60/3.76 inference(transitivity,[status(thm)],[23, 20])).
% 5.60/3.76 tff(25,plain,
% 5.60/3.76 (?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~p1(X))) | (~p15(Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p15(Y)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p2(Y) & (~p1(Y))) | ((~p2(Y)) & p1(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p3(X) & (~p2(X))) | ((~p3(X)) & p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p4(Y) & (~p3(Y))) | ((~p4(Y)) & p3(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p5(X) & (~p4(X))) | ((~p5(X)) & p4(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p6(Y) & (~p5(Y))) | ((~p6(Y)) & p5(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p7(X) & (~p6(X))) | ((~p7(X)) & p6(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p8(Y) & (~p7(Y))) | ((~p8(Y)) & p7(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p9(X) & (~p8(X))) | ((~p9(X)) & p8(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p10(Y) & (~p9(Y))) | ((~p10(Y)) & p9(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p11(X) & (~p10(X))) | ((~p11(X)) & p10(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p12(Y) & (~p11(Y))) | ((~p12(Y)) & p11(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p13(X) & (~p12(X))) | ((~p13(X)) & p12(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p14(Y) & (~p13(Y))) | ((~p14(Y)) & p13(Y)))))) | ![Y: $i] : (~r1(X, Y)))))))))))))) | ![Y: $i] : ((~r1(X, Y)) | (p2(Y) & p1(Y)) | ((~p1(Y)) & (~p2(Y))) | (p3(Y) & p2(Y)) | ((~p2(Y)) & (~p3(Y))) | (p4(Y) & p3(Y)) | ((~p3(Y)) & (~p4(Y))) | (p5(Y) & p4(Y)) | ((~p4(Y)) & (~p5(Y))) | (p6(Y) & p5(Y)) | ((~p5(Y)) & (~p6(Y))) | (p7(Y) & p6(Y)) | ((~p6(Y)) & (~p7(Y))) | (p8(Y) & p7(Y)) | ((~p7(Y)) & (~p8(Y))) | (p9(Y) & p8(Y)) | ((~p8(Y)) & (~p9(Y))) | (p10(Y) & p9(Y)) | ((~p9(Y)) & (~p10(Y))) | (p11(Y) & p10(Y)) | ((~p10(Y)) & (~p11(Y))) | (p12(Y) & p11(Y)) | ((~p11(Y)) & (~p12(Y))) | (p13(Y) & p12(Y)) | ((~p12(Y)) & (~p13(Y))) | (p14(Y) & p13(Y)) | ((~p13(Y)) & (~p14(Y))))))))))) <=> ?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~p1(X))) | (~p15(Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p15(Y)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p2(Y) & (~p1(Y))) | ((~p2(Y)) & p1(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p3(X) & (~p2(X))) | ((~p3(X)) & p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p4(Y) & (~p3(Y))) | ((~p4(Y)) & p3(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p5(X) & (~p4(X))) | ((~p5(X)) & p4(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p6(Y) & (~p5(Y))) | ((~p6(Y)) & p5(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p7(X) & (~p6(X))) | ((~p7(X)) & p6(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p8(Y) & (~p7(Y))) | ((~p8(Y)) & p7(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p9(X) & (~p8(X))) | ((~p9(X)) & p8(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p10(Y) & (~p9(Y))) | ((~p10(Y)) & p9(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p11(X) & (~p10(X))) | ((~p11(X)) & p10(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p12(Y) & (~p11(Y))) | ((~p12(Y)) & p11(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p13(X) & (~p12(X))) | ((~p13(X)) & p12(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p14(Y) & (~p13(Y))) | ((~p14(Y)) & p13(Y)))))) | ![Y: $i] : (~r1(X, Y)))))))))))))) | ![Y: $i] : ((~r1(X, Y)) | (p2(Y) & p1(Y)) | ((~p1(Y)) & (~p2(Y))) | (p3(Y) & p2(Y)) | ((~p2(Y)) & (~p3(Y))) | (p4(Y) & p3(Y)) | ((~p3(Y)) & (~p4(Y))) | (p5(Y) & p4(Y)) | ((~p4(Y)) & (~p5(Y))) | (p6(Y) & p5(Y)) | ((~p5(Y)) & (~p6(Y))) | (p7(Y) & p6(Y)) | ((~p6(Y)) & (~p7(Y))) | (p8(Y) & p7(Y)) | ((~p7(Y)) & (~p8(Y))) | (p9(Y) & p8(Y)) | ((~p8(Y)) & (~p9(Y))) | (p10(Y) & p9(Y)) | ((~p9(Y)) & (~p10(Y))) | (p11(Y) & p10(Y)) | ((~p10(Y)) & (~p11(Y))) | (p12(Y) & p11(Y)) | ((~p11(Y)) & (~p12(Y))) | (p13(Y) & p12(Y)) | ((~p12(Y)) & (~p13(Y))) | (p14(Y) & p13(Y)) | ((~p13(Y)) & (~p14(Y)))))))))))),
% 5.60/3.76 inference(rewrite,[status(thm)],[])).
% 5.60/3.76 tff(26,plain,
% 5.60/3.76 ((~(~?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~p1(X))) | (~p15(Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p15(Y)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p2(Y) & (~p1(Y))) | ((~p2(Y)) & p1(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p3(X) & (~p2(X))) | ((~p3(X)) & p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p4(Y) & (~p3(Y))) | ((~p4(Y)) & p3(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p5(X) & (~p4(X))) | ((~p5(X)) & p4(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p6(Y) & (~p5(Y))) | ((~p6(Y)) & p5(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p7(X) & (~p6(X))) | ((~p7(X)) & p6(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p8(Y) & (~p7(Y))) | ((~p8(Y)) & p7(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p9(X) & (~p8(X))) | ((~p9(X)) & p8(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p10(Y) & (~p9(Y))) | ((~p10(Y)) & p9(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p11(X) & (~p10(X))) | ((~p11(X)) & p10(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p12(Y) & (~p11(Y))) | ((~p12(Y)) & p11(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p13(X) & (~p12(X))) | ((~p13(X)) & p12(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p14(Y) & (~p13(Y))) | ((~p14(Y)) & p13(Y)))))) | ![Y: $i] : (~r1(X, Y)))))))))))))) | ![Y: $i] : ((~r1(X, Y)) | (p2(Y) & p1(Y)) | ((~p1(Y)) & (~p2(Y))) | (p3(Y) & p2(Y)) | ((~p2(Y)) & (~p3(Y))) | (p4(Y) & p3(Y)) | ((~p3(Y)) & (~p4(Y))) | (p5(Y) & p4(Y)) | ((~p4(Y)) & (~p5(Y))) | (p6(Y) & p5(Y)) | ((~p5(Y)) & (~p6(Y))) | (p7(Y) & p6(Y)) | ((~p6(Y)) & (~p7(Y))) | (p8(Y) & p7(Y)) | ((~p7(Y)) & (~p8(Y))) | (p9(Y) & p8(Y)) | ((~p8(Y)) & (~p9(Y))) | (p10(Y) & p9(Y)) | ((~p9(Y)) & (~p10(Y))) | (p11(Y) & p10(Y)) | ((~p10(Y)) & (~p11(Y))) | (p12(Y) & p11(Y)) | ((~p11(Y)) & (~p12(Y))) | (p13(Y) & p12(Y)) | ((~p12(Y)) & (~p13(Y))) | (p14(Y) & p13(Y)) | ((~p13(Y)) & (~p14(Y))))))))))))) <=> ?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~p1(X))) | (~p15(Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p15(Y)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p2(Y) & (~p1(Y))) | ((~p2(Y)) & p1(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p3(X) & (~p2(X))) | ((~p3(X)) & p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p4(Y) & (~p3(Y))) | ((~p4(Y)) & p3(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p5(X) & (~p4(X))) | ((~p5(X)) & p4(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p6(Y) & (~p5(Y))) | ((~p6(Y)) & p5(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p7(X) & (~p6(X))) | ((~p7(X)) & p6(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p8(Y) & (~p7(Y))) | ((~p8(Y)) & p7(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p9(X) & (~p8(X))) | ((~p9(X)) & p8(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p10(Y) & (~p9(Y))) | ((~p10(Y)) & p9(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p11(X) & (~p10(X))) | ((~p11(X)) & p10(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p12(Y) & (~p11(Y))) | ((~p12(Y)) & p11(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p13(X) & (~p12(X))) | ((~p13(X)) & p12(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p14(Y) & (~p13(Y))) | ((~p14(Y)) & p13(Y)))))) | ![Y: $i] : (~r1(X, Y)))))))))))))) | ![Y: $i] : ((~r1(X, Y)) | (p2(Y) & p1(Y)) | ((~p1(Y)) & (~p2(Y))) | (p3(Y) & p2(Y)) | ((~p2(Y)) & (~p3(Y))) | (p4(Y) & p3(Y)) | ((~p3(Y)) & (~p4(Y))) | (p5(Y) & p4(Y)) | ((~p4(Y)) & (~p5(Y))) | (p6(Y) & p5(Y)) | ((~p5(Y)) & (~p6(Y))) | (p7(Y) & p6(Y)) | ((~p6(Y)) & (~p7(Y))) | (p8(Y) & p7(Y)) | ((~p7(Y)) & (~p8(Y))) | (p9(Y) & p8(Y)) | ((~p8(Y)) & (~p9(Y))) | (p10(Y) & p9(Y)) | ((~p9(Y)) & (~p10(Y))) | (p11(Y) & p10(Y)) | ((~p10(Y)) & (~p11(Y))) | (p12(Y) & p11(Y)) | ((~p11(Y)) & (~p12(Y))) | (p13(Y) & p12(Y)) | ((~p12(Y)) & (~p13(Y))) | (p14(Y) & p13(Y)) | ((~p13(Y)) & (~p14(Y)))))))))))),
% 5.60/3.76 inference(rewrite,[status(thm)],[])).
% 5.60/3.76 tff(27,plain,
% 5.60/3.76 ((~?[X: $i] : (~(![Y: $i] : (((~r1(X, Y)) | (~p15(Y))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~(((![Y: $i] : (((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p14(Y) & (~p13(Y))) | ((~p14(Y)) & p13(Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((p13(X) & (~p12(X))) | ((~p13(X)) & p12(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((p12(Y) & (~p11(Y))) | ((~p12(Y)) & p11(Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((p11(X) & (~p10(X))) | ((~p11(X)) & p10(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((p10(Y) & (~p9(Y))) | ((~p10(Y)) & p9(Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((p9(X) & (~p8(X))) | ((~p9(X)) & p8(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((p8(Y) & (~p7(Y))) | ((~p8(Y)) & p7(Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((p7(X) & (~p6(X))) | ((~p7(X)) & p6(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((p6(Y) & (~p5(Y))) | ((~p6(Y)) & p5(Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((p5(X) & (~p4(X))) | ((~p5(X)) & p4(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((p4(Y) & (~p3(Y))) | ((~p4(Y)) & p3(Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((p3(X) & (~p2(X))) | ((~p3(X)) & p2(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((p2(Y) & (~p1(Y))) | ((~p2(Y)) & p1(Y))))))) | ![Y: $i] : ((~r1(X, Y)) | p15(Y))) | ![Y: $i] : (((((((((((((((((((((((((((~r1(X, Y)) | ((~p13(Y)) & (~p14(Y)))) | (p14(Y) & p13(Y))) | ((~p12(Y)) & (~p13(Y)))) | (p13(Y) & p12(Y))) | ((~p11(Y)) & (~p12(Y)))) | (p12(Y) & p11(Y))) | ((~p10(Y)) & (~p11(Y)))) | (p11(Y) & p10(Y))) | ((~p9(Y)) & (~p10(Y)))) | (p10(Y) & p9(Y))) | ((~p8(Y)) & (~p9(Y)))) | (p9(Y) & p8(Y))) | ((~p7(Y)) & (~p8(Y)))) | (p8(Y) & p7(Y))) | ((~p6(Y)) & (~p7(Y)))) | (p7(Y) & p6(Y))) | ((~p5(Y)) & (~p6(Y)))) | (p6(Y) & p5(Y))) | ((~p4(Y)) & (~p5(Y)))) | (p5(Y) & p4(Y))) | ((~p3(Y)) & (~p4(Y)))) | (p4(Y) & p3(Y))) | ((~p2(Y)) & (~p3(Y)))) | (p3(Y) & p2(Y))) | ((~p1(Y)) & (~p2(Y)))) | (p2(Y) & p1(Y))))))))))) <=> (~?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~p1(X))) | (~p15(Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p15(Y)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p2(Y) & (~p1(Y))) | ((~p2(Y)) & p1(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p3(X) & (~p2(X))) | ((~p3(X)) & p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p4(Y) & (~p3(Y))) | ((~p4(Y)) & p3(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p5(X) & (~p4(X))) | ((~p5(X)) & p4(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p6(Y) & (~p5(Y))) | ((~p6(Y)) & p5(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p7(X) & (~p6(X))) | ((~p7(X)) & p6(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p8(Y) & (~p7(Y))) | ((~p8(Y)) & p7(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p9(X) & (~p8(X))) | ((~p9(X)) & p8(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p10(Y) & (~p9(Y))) | ((~p10(Y)) & p9(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p11(X) & (~p10(X))) | ((~p11(X)) & p10(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p12(Y) & (~p11(Y))) | ((~p12(Y)) & p11(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p13(X) & (~p12(X))) | ((~p13(X)) & p12(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p14(Y) & (~p13(Y))) | ((~p14(Y)) & p13(Y)))))) | ![Y: $i] : (~r1(X, Y)))))))))))))) | ![Y: $i] : ((~r1(X, Y)) | (p2(Y) & p1(Y)) | ((~p1(Y)) & (~p2(Y))) | (p3(Y) & p2(Y)) | ((~p2(Y)) & (~p3(Y))) | (p4(Y) & p3(Y)) | ((~p3(Y)) & (~p4(Y))) | (p5(Y) & p4(Y)) | ((~p4(Y)) & (~p5(Y))) | (p6(Y) & p5(Y)) | ((~p5(Y)) & (~p6(Y))) | (p7(Y) & p6(Y)) | ((~p6(Y)) & (~p7(Y))) | (p8(Y) & p7(Y)) | ((~p7(Y)) & (~p8(Y))) | (p9(Y) & p8(Y)) | ((~p8(Y)) & (~p9(Y))) | (p10(Y) & p9(Y)) | ((~p9(Y)) & (~p10(Y))) | (p11(Y) & p10(Y)) | ((~p10(Y)) & (~p11(Y))) | (p12(Y) & p11(Y)) | ((~p11(Y)) & (~p12(Y))) | (p13(Y) & p12(Y)) | ((~p12(Y)) & (~p13(Y))) | (p14(Y) & p13(Y)) | ((~p13(Y)) & (~p14(Y))))))))))))),
% 5.60/3.77 inference(rewrite,[status(thm)],[])).
% 5.60/3.77 tff(28,plain,
% 5.60/3.77 ((~(~?[X: $i] : (~(![Y: $i] : (((~r1(X, Y)) | (~p15(Y))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~(((![Y: $i] : (((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p14(Y) & (~p13(Y))) | ((~p14(Y)) & p13(Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((p13(X) & (~p12(X))) | ((~p13(X)) & p12(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((p12(Y) & (~p11(Y))) | ((~p12(Y)) & p11(Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((p11(X) & (~p10(X))) | ((~p11(X)) & p10(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((p10(Y) & (~p9(Y))) | ((~p10(Y)) & p9(Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((p9(X) & (~p8(X))) | ((~p9(X)) & p8(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((p8(Y) & (~p7(Y))) | ((~p8(Y)) & p7(Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((p7(X) & (~p6(X))) | ((~p7(X)) & p6(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((p6(Y) & (~p5(Y))) | ((~p6(Y)) & p5(Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((p5(X) & (~p4(X))) | ((~p5(X)) & p4(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((p4(Y) & (~p3(Y))) | ((~p4(Y)) & p3(Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((p3(X) & (~p2(X))) | ((~p3(X)) & p2(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((p2(Y) & (~p1(Y))) | ((~p2(Y)) & p1(Y))))))) | ![Y: $i] : ((~r1(X, Y)) | p15(Y))) | ![Y: $i] : (((((((((((((((((((((((((((~r1(X, Y)) | ((~p13(Y)) & (~p14(Y)))) | (p14(Y) & p13(Y))) | ((~p12(Y)) & (~p13(Y)))) | (p13(Y) & p12(Y))) | ((~p11(Y)) & (~p12(Y)))) | (p12(Y) & p11(Y))) | ((~p10(Y)) & (~p11(Y)))) | (p11(Y) & p10(Y))) | ((~p9(Y)) & (~p10(Y)))) | (p10(Y) & p9(Y))) | ((~p8(Y)) & (~p9(Y)))) | (p9(Y) & p8(Y))) | ((~p7(Y)) & (~p8(Y)))) | (p8(Y) & p7(Y))) | ((~p6(Y)) & (~p7(Y)))) | (p7(Y) & p6(Y))) | ((~p5(Y)) & (~p6(Y)))) | (p6(Y) & p5(Y))) | ((~p4(Y)) & (~p5(Y)))) | (p5(Y) & p4(Y))) | ((~p3(Y)) & (~p4(Y)))) | (p4(Y) & p3(Y))) | ((~p2(Y)) & (~p3(Y)))) | (p3(Y) & p2(Y))) | ((~p1(Y)) & (~p2(Y)))) | (p2(Y) & p1(Y)))))))))))) <=> (~(~?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~p1(X))) | (~p15(Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p15(Y)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p2(Y) & (~p1(Y))) | ((~p2(Y)) & p1(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p3(X) & (~p2(X))) | ((~p3(X)) & p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p4(Y) & (~p3(Y))) | ((~p4(Y)) & p3(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p5(X) & (~p4(X))) | ((~p5(X)) & p4(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p6(Y) & (~p5(Y))) | ((~p6(Y)) & p5(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p7(X) & (~p6(X))) | ((~p7(X)) & p6(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p8(Y) & (~p7(Y))) | ((~p8(Y)) & p7(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p9(X) & (~p8(X))) | ((~p9(X)) & p8(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p10(Y) & (~p9(Y))) | ((~p10(Y)) & p9(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p11(X) & (~p10(X))) | ((~p11(X)) & p10(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p12(Y) & (~p11(Y))) | ((~p12(Y)) & p11(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p13(X) & (~p12(X))) | ((~p13(X)) & p12(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p14(Y) & (~p13(Y))) | ((~p14(Y)) & p13(Y)))))) | ![Y: $i] : (~r1(X, Y)))))))))))))) | ![Y: $i] : ((~r1(X, Y)) | (p2(Y) & p1(Y)) | ((~p1(Y)) & (~p2(Y))) | (p3(Y) & p2(Y)) | ((~p2(Y)) & (~p3(Y))) | (p4(Y) & p3(Y)) | ((~p3(Y)) & (~p4(Y))) | (p5(Y) & p4(Y)) | ((~p4(Y)) & (~p5(Y))) | (p6(Y) & p5(Y)) | ((~p5(Y)) & (~p6(Y))) | (p7(Y) & p6(Y)) | ((~p6(Y)) & (~p7(Y))) | (p8(Y) & p7(Y)) | ((~p7(Y)) & (~p8(Y))) | (p9(Y) & p8(Y)) | ((~p8(Y)) & (~p9(Y))) | (p10(Y) & p9(Y)) | ((~p9(Y)) & (~p10(Y))) | (p11(Y) & p10(Y)) | ((~p10(Y)) & (~p11(Y))) | (p12(Y) & p11(Y)) | ((~p11(Y)) & (~p12(Y))) | (p13(Y) & p12(Y)) | ((~p12(Y)) & (~p13(Y))) | (p14(Y) & p13(Y)) | ((~p13(Y)) & (~p14(Y)))))))))))))),
% 5.60/3.77 inference(monotonicity,[status(thm)],[27])).
% 5.60/3.77 tff(29,plain,
% 5.60/3.77 ((~(~?[X: $i] : (~(![Y: $i] : (((~r1(X, Y)) | (~p15(Y))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~(((![Y: $i] : (((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p14(Y) & (~p13(Y))) | ((~p14(Y)) & p13(Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((p13(X) & (~p12(X))) | ((~p13(X)) & p12(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((p12(Y) & (~p11(Y))) | ((~p12(Y)) & p11(Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((p11(X) & (~p10(X))) | ((~p11(X)) & p10(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((p10(Y) & (~p9(Y))) | ((~p10(Y)) & p9(Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((p9(X) & (~p8(X))) | ((~p9(X)) & p8(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((p8(Y) & (~p7(Y))) | ((~p8(Y)) & p7(Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((p7(X) & (~p6(X))) | ((~p7(X)) & p6(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((p6(Y) & (~p5(Y))) | ((~p6(Y)) & p5(Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((p5(X) & (~p4(X))) | ((~p5(X)) & p4(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((p4(Y) & (~p3(Y))) | ((~p4(Y)) & p3(Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((p3(X) & (~p2(X))) | ((~p3(X)) & p2(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((p2(Y) & (~p1(Y))) | ((~p2(Y)) & p1(Y))))))) | ![Y: $i] : ((~r1(X, Y)) | p15(Y))) | ![Y: $i] : (((((((((((((((((((((((((((~r1(X, Y)) | ((~p13(Y)) & (~p14(Y)))) | (p14(Y) & p13(Y))) | ((~p12(Y)) & (~p13(Y)))) | (p13(Y) & p12(Y))) | ((~p11(Y)) & (~p12(Y)))) | (p12(Y) & p11(Y))) | ((~p10(Y)) & (~p11(Y)))) | (p11(Y) & p10(Y))) | ((~p9(Y)) & (~p10(Y)))) | (p10(Y) & p9(Y))) | ((~p8(Y)) & (~p9(Y)))) | (p9(Y) & p8(Y))) | ((~p7(Y)) & (~p8(Y)))) | (p8(Y) & p7(Y))) | ((~p6(Y)) & (~p7(Y)))) | (p7(Y) & p6(Y))) | ((~p5(Y)) & (~p6(Y)))) | (p6(Y) & p5(Y))) | ((~p4(Y)) & (~p5(Y)))) | (p5(Y) & p4(Y))) | ((~p3(Y)) & (~p4(Y)))) | (p4(Y) & p3(Y))) | ((~p2(Y)) & (~p3(Y)))) | (p3(Y) & p2(Y))) | ((~p1(Y)) & (~p2(Y)))) | (p2(Y) & p1(Y)))))))))))) <=> ?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~p1(X))) | (~p15(Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p15(Y)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p2(Y) & (~p1(Y))) | ((~p2(Y)) & p1(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p3(X) & (~p2(X))) | ((~p3(X)) & p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p4(Y) & (~p3(Y))) | ((~p4(Y)) & p3(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p5(X) & (~p4(X))) | ((~p5(X)) & p4(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p6(Y) & (~p5(Y))) | ((~p6(Y)) & p5(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p7(X) & (~p6(X))) | ((~p7(X)) & p6(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p8(Y) & (~p7(Y))) | ((~p8(Y)) & p7(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p9(X) & (~p8(X))) | ((~p9(X)) & p8(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p10(Y) & (~p9(Y))) | ((~p10(Y)) & p9(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p11(X) & (~p10(X))) | ((~p11(X)) & p10(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p12(Y) & (~p11(Y))) | ((~p12(Y)) & p11(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p13(X) & (~p12(X))) | ((~p13(X)) & p12(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p14(Y) & (~p13(Y))) | ((~p14(Y)) & p13(Y)))))) | ![Y: $i] : (~r1(X, Y)))))))))))))) | ![Y: $i] : ((~r1(X, Y)) | (p2(Y) & p1(Y)) | ((~p1(Y)) & (~p2(Y))) | (p3(Y) & p2(Y)) | ((~p2(Y)) & (~p3(Y))) | (p4(Y) & p3(Y)) | ((~p3(Y)) & (~p4(Y))) | (p5(Y) & p4(Y)) | ((~p4(Y)) & (~p5(Y))) | (p6(Y) & p5(Y)) | ((~p5(Y)) & (~p6(Y))) | (p7(Y) & p6(Y)) | ((~p6(Y)) & (~p7(Y))) | (p8(Y) & p7(Y)) | ((~p7(Y)) & (~p8(Y))) | (p9(Y) & p8(Y)) | ((~p8(Y)) & (~p9(Y))) | (p10(Y) & p9(Y)) | ((~p9(Y)) & (~p10(Y))) | (p11(Y) & p10(Y)) | ((~p10(Y)) & (~p11(Y))) | (p12(Y) & p11(Y)) | ((~p11(Y)) & (~p12(Y))) | (p13(Y) & p12(Y)) | ((~p12(Y)) & (~p13(Y))) | (p14(Y) & p13(Y)) | ((~p13(Y)) & (~p14(Y)))))))))))),
% 5.60/3.77 inference(transitivity,[status(thm)],[28, 26])).
% 5.60/3.77 tff(30,axiom,(~(~?[X: $i] : (~(![Y: $i] : (((~r1(X, Y)) | (~p15(Y))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~(((![Y: $i] : (((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p14(Y) & (~p13(Y))) | ((~p14(Y)) & p13(Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((p13(X) & (~p12(X))) | ((~p13(X)) & p12(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((p12(Y) & (~p11(Y))) | ((~p12(Y)) & p11(Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((p11(X) & (~p10(X))) | ((~p11(X)) & p10(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((p10(Y) & (~p9(Y))) | ((~p10(Y)) & p9(Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((p9(X) & (~p8(X))) | ((~p9(X)) & p8(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((p8(Y) & (~p7(Y))) | ((~p8(Y)) & p7(Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((p7(X) & (~p6(X))) | ((~p7(X)) & p6(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((p6(Y) & (~p5(Y))) | ((~p6(Y)) & p5(Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((p5(X) & (~p4(X))) | ((~p5(X)) & p4(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((p4(Y) & (~p3(Y))) | ((~p4(Y)) & p3(Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((p3(X) & (~p2(X))) | ((~p3(X)) & p2(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((p2(Y) & (~p1(Y))) | ((~p2(Y)) & p1(Y))))))) | ![Y: $i] : ((~r1(X, Y)) | p15(Y))) | ![Y: $i] : (((((((((((((((((((((((((((~r1(X, Y)) | ((~p13(Y)) & (~p14(Y)))) | (p14(Y) & p13(Y))) | ((~p12(Y)) & (~p13(Y)))) | (p13(Y) & p12(Y))) | ((~p11(Y)) & (~p12(Y)))) | (p12(Y) & p11(Y))) | ((~p10(Y)) & (~p11(Y)))) | (p11(Y) & p10(Y))) | ((~p9(Y)) & (~p10(Y)))) | (p10(Y) & p9(Y))) | ((~p8(Y)) & (~p9(Y)))) | (p9(Y) & p8(Y))) | ((~p7(Y)) & (~p8(Y)))) | (p8(Y) & p7(Y))) | ((~p6(Y)) & (~p7(Y)))) | (p7(Y) & p6(Y))) | ((~p5(Y)) & (~p6(Y)))) | (p6(Y) & p5(Y))) | ((~p4(Y)) & (~p5(Y)))) | (p5(Y) & p4(Y))) | ((~p3(Y)) & (~p4(Y)))) | (p4(Y) & p3(Y))) | ((~p2(Y)) & (~p3(Y)))) | (p3(Y) & p2(Y))) | ((~p1(Y)) & (~p2(Y)))) | (p2(Y) & p1(Y)))))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','main')).
% 5.60/3.77 tff(31,plain,
% 5.60/3.77 (?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~p1(X))) | (~p15(Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p15(Y)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p2(Y) & (~p1(Y))) | ((~p2(Y)) & p1(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p3(X) & (~p2(X))) | ((~p3(X)) & p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p4(Y) & (~p3(Y))) | ((~p4(Y)) & p3(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p5(X) & (~p4(X))) | ((~p5(X)) & p4(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p6(Y) & (~p5(Y))) | ((~p6(Y)) & p5(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p7(X) & (~p6(X))) | ((~p7(X)) & p6(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p8(Y) & (~p7(Y))) | ((~p8(Y)) & p7(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p9(X) & (~p8(X))) | ((~p9(X)) & p8(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p10(Y) & (~p9(Y))) | ((~p10(Y)) & p9(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p11(X) & (~p10(X))) | ((~p11(X)) & p10(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p12(Y) & (~p11(Y))) | ((~p12(Y)) & p11(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p13(X) & (~p12(X))) | ((~p13(X)) & p12(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p14(Y) & (~p13(Y))) | ((~p14(Y)) & p13(Y)))))) | ![Y: $i] : (~r1(X, Y)))))))))))))) | ![Y: $i] : ((~r1(X, Y)) | (p2(Y) & p1(Y)) | ((~p1(Y)) & (~p2(Y))) | (p3(Y) & p2(Y)) | ((~p2(Y)) & (~p3(Y))) | (p4(Y) & p3(Y)) | ((~p3(Y)) & (~p4(Y))) | (p5(Y) & p4(Y)) | ((~p4(Y)) & (~p5(Y))) | (p6(Y) & p5(Y)) | ((~p5(Y)) & (~p6(Y))) | (p7(Y) & p6(Y)) | ((~p6(Y)) & (~p7(Y))) | (p8(Y) & p7(Y)) | ((~p7(Y)) & (~p8(Y))) | (p9(Y) & p8(Y)) | ((~p8(Y)) & (~p9(Y))) | (p10(Y) & p9(Y)) | ((~p9(Y)) & (~p10(Y))) | (p11(Y) & p10(Y)) | ((~p10(Y)) & (~p11(Y))) | (p12(Y) & p11(Y)) | ((~p11(Y)) & (~p12(Y))) | (p13(Y) & p12(Y)) | ((~p12(Y)) & (~p13(Y))) | (p14(Y) & p13(Y)) | ((~p13(Y)) & (~p14(Y)))))))))))),
% 5.60/3.77 inference(modus_ponens,[status(thm)],[30, 29])).
% 5.60/3.77 tff(32,plain,
% 5.60/3.77 (?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~p1(X))) | (~p15(Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p15(Y)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p2(Y) & (~p1(Y))) | ((~p2(Y)) & p1(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p3(X) & (~p2(X))) | ((~p3(X)) & p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p4(Y) & (~p3(Y))) | ((~p4(Y)) & p3(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p5(X) & (~p4(X))) | ((~p5(X)) & p4(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p6(Y) & (~p5(Y))) | ((~p6(Y)) & p5(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p7(X) & (~p6(X))) | ((~p7(X)) & p6(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p8(Y) & (~p7(Y))) | ((~p8(Y)) & p7(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p9(X) & (~p8(X))) | ((~p9(X)) & p8(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p10(Y) & (~p9(Y))) | ((~p10(Y)) & p9(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p11(X) & (~p10(X))) | ((~p11(X)) & p10(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p12(Y) & (~p11(Y))) | ((~p12(Y)) & p11(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p13(X) & (~p12(X))) | ((~p13(X)) & p12(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p14(Y) & (~p13(Y))) | ((~p14(Y)) & p13(Y)))))) | ![Y: $i] : (~r1(X, Y)))))))))))))) | ![Y: $i] : ((~r1(X, Y)) | (p2(Y) & p1(Y)) | ((~p1(Y)) & (~p2(Y))) | (p3(Y) & p2(Y)) | ((~p2(Y)) & (~p3(Y))) | (p4(Y) & p3(Y)) | ((~p3(Y)) & (~p4(Y))) | (p5(Y) & p4(Y)) | ((~p4(Y)) & (~p5(Y))) | (p6(Y) & p5(Y)) | ((~p5(Y)) & (~p6(Y))) | (p7(Y) & p6(Y)) | ((~p6(Y)) & (~p7(Y))) | (p8(Y) & p7(Y)) | ((~p7(Y)) & (~p8(Y))) | (p9(Y) & p8(Y)) | ((~p8(Y)) & (~p9(Y))) | (p10(Y) & p9(Y)) | ((~p9(Y)) & (~p10(Y))) | (p11(Y) & p10(Y)) | ((~p10(Y)) & (~p11(Y))) | (p12(Y) & p11(Y)) | ((~p11(Y)) & (~p12(Y))) | (p13(Y) & p12(Y)) | ((~p12(Y)) & (~p13(Y))) | (p14(Y) & p13(Y)) | ((~p13(Y)) & (~p14(Y)))))))))))),
% 5.60/3.77 inference(modus_ponens,[status(thm)],[31, 25])).
% 5.60/3.77 tff(33,plain,
% 5.60/3.77 (r1(X!0, Y!1) & (~((~r1(Y!1, X!2)) | (~p1(X!2)))) & p15(Y!1) & r1(X!0, Y!3) & ![X: $i] : ((~r1(Y!3, X)) | ((~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)))) & ![Y: $i] : ((~r1(X, Y)) | (~((p2(Y) & (~p1(Y))) | ((~p2(Y)) & p1(Y))))) & r1(X, tptp_fun_Y_5(X)) & ![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((p3(X) & (~p2(X))) | ((~p3(X)) & p2(X))))) & r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)) & ![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((p4(Y) & (~p3(Y))) | ((~p4(Y)) & p3(Y))))) & r1(tptp_fun_X_6(X), tptp_fun_Y_7(X)) & ![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((p5(X) & (~p4(X))) | ((~p5(X)) & p4(X))))) & r1(tptp_fun_Y_7(X), tptp_fun_X_8(X)) & ![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((p6(Y) & (~p5(Y))) | ((~p6(Y)) & p5(Y))))) & r1(tptp_fun_X_8(X), tptp_fun_Y_9(X)) & ![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((p7(X) & (~p6(X))) | ((~p7(X)) & p6(X))))) & r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)) & ![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((p8(Y) & (~p7(Y))) | ((~p8(Y)) & p7(Y))))) & r1(tptp_fun_X_10(X), tptp_fun_Y_11(X)) & ![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((p9(X) & (~p8(X))) | ((~p9(X)) & p8(X))))) & r1(tptp_fun_Y_11(X), tptp_fun_X_12(X)) & ![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((p10(Y) & (~p9(Y))) | ((~p10(Y)) & p9(Y))))) & r1(tptp_fun_X_12(X), tptp_fun_Y_13(X)) & ![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((p11(X) & (~p10(X))) | ((~p11(X)) & p10(X))))) & r1(tptp_fun_Y_13(X), tptp_fun_X_14(X)) & ![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((p12(Y) & (~p11(Y))) | ((~p12(Y)) & p11(Y))))) & r1(tptp_fun_X_14(X), tptp_fun_Y_15(X)) & ![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((p13(X) & (~p12(X))) | ((~p13(X)) & p12(X))))) & r1(tptp_fun_Y_15(X), tptp_fun_X_16(X)) & ![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((p14(Y) & (~p13(Y))) | ((~p14(Y)) & p13(Y))))) & r1(tptp_fun_X_16(X), tptp_fun_Y_17(X)) & (~((~r1(X, tptp_fun_Y_18(X))) | (p2(tptp_fun_Y_18(X)) & p1(tptp_fun_Y_18(X))) | ((~p1(tptp_fun_Y_18(X))) & (~p2(tptp_fun_Y_18(X)))) | (p3(tptp_fun_Y_18(X)) & p2(tptp_fun_Y_18(X))) | ((~p2(tptp_fun_Y_18(X))) & (~p3(tptp_fun_Y_18(X)))) | (p4(tptp_fun_Y_18(X)) & p3(tptp_fun_Y_18(X))) | ((~p3(tptp_fun_Y_18(X))) & (~p4(tptp_fun_Y_18(X)))) | (p5(tptp_fun_Y_18(X)) & p4(tptp_fun_Y_18(X))) | ((~p4(tptp_fun_Y_18(X))) & (~p5(tptp_fun_Y_18(X)))) | (p6(tptp_fun_Y_18(X)) & p5(tptp_fun_Y_18(X))) | ((~p5(tptp_fun_Y_18(X))) & (~p6(tptp_fun_Y_18(X)))) | (p7(tptp_fun_Y_18(X)) & p6(tptp_fun_Y_18(X))) | ((~p6(tptp_fun_Y_18(X))) & (~p7(tptp_fun_Y_18(X)))) | (p8(tptp_fun_Y_18(X)) & p7(tptp_fun_Y_18(X))) | ((~p7(tptp_fun_Y_18(X))) & (~p8(tptp_fun_Y_18(X)))) | (p9(tptp_fun_Y_18(X)) & p8(tptp_fun_Y_18(X))) | ((~p8(tptp_fun_Y_18(X))) & (~p9(tptp_fun_Y_18(X)))) | (p10(tptp_fun_Y_18(X)) & p9(tptp_fun_Y_18(X))) | ((~p9(tptp_fun_Y_18(X))) & (~p10(tptp_fun_Y_18(X)))) | (p11(tptp_fun_Y_18(X)) & p10(tptp_fun_Y_18(X))) | ((~p10(tptp_fun_Y_18(X))) & (~p11(tptp_fun_Y_18(X)))) | (p12(tptp_fun_Y_18(X)) & p11(tptp_fun_Y_18(X))) | ((~p11(tptp_fun_Y_18(X))) & (~p12(tptp_fun_Y_18(X)))) | (p13(tptp_fun_Y_18(X)) & p12(tptp_fun_Y_18(X))) | ((~p12(tptp_fun_Y_18(X))) & (~p13(tptp_fun_Y_18(X)))) | (p14(tptp_fun_Y_18(X)) & p13(tptp_fun_Y_18(X))) | ((~p13(tptp_fun_Y_18(X))) & (~p14(tptp_fun_Y_18(X))))))))),
% 5.60/3.77 inference(modus_ponens,[status(thm)],[32, 24])).
% 5.60/3.77 tff(34,plain,
% 5.60/3.77 (![X: $i] : ((~r1(Y!3, X)) | ((~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)))) & ![Y: $i] : ((~r1(X, Y)) | (~((p2(Y) & (~p1(Y))) | ((~p2(Y)) & p1(Y))))) & r1(X, tptp_fun_Y_5(X)) & ![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((p3(X) & (~p2(X))) | ((~p3(X)) & p2(X))))) & r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)) & ![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((p4(Y) & (~p3(Y))) | ((~p4(Y)) & p3(Y))))) & r1(tptp_fun_X_6(X), tptp_fun_Y_7(X)) & ![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((p5(X) & (~p4(X))) | ((~p5(X)) & p4(X))))) & r1(tptp_fun_Y_7(X), tptp_fun_X_8(X)) & ![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((p6(Y) & (~p5(Y))) | ((~p6(Y)) & p5(Y))))) & r1(tptp_fun_X_8(X), tptp_fun_Y_9(X)) & ![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((p7(X) & (~p6(X))) | ((~p7(X)) & p6(X))))) & r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)) & ![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((p8(Y) & (~p7(Y))) | ((~p8(Y)) & p7(Y))))) & r1(tptp_fun_X_10(X), tptp_fun_Y_11(X)) & ![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((p9(X) & (~p8(X))) | ((~p9(X)) & p8(X))))) & r1(tptp_fun_Y_11(X), tptp_fun_X_12(X)) & ![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((p10(Y) & (~p9(Y))) | ((~p10(Y)) & p9(Y))))) & r1(tptp_fun_X_12(X), tptp_fun_Y_13(X)) & ![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((p11(X) & (~p10(X))) | ((~p11(X)) & p10(X))))) & r1(tptp_fun_Y_13(X), tptp_fun_X_14(X)) & ![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((p12(Y) & (~p11(Y))) | ((~p12(Y)) & p11(Y))))) & r1(tptp_fun_X_14(X), tptp_fun_Y_15(X)) & ![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((p13(X) & (~p12(X))) | ((~p13(X)) & p12(X))))) & r1(tptp_fun_Y_15(X), tptp_fun_X_16(X)) & ![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((p14(Y) & (~p13(Y))) | ((~p14(Y)) & p13(Y))))) & r1(tptp_fun_X_16(X), tptp_fun_Y_17(X)) & (~((~r1(X, tptp_fun_Y_18(X))) | (p2(tptp_fun_Y_18(X)) & p1(tptp_fun_Y_18(X))) | ((~p1(tptp_fun_Y_18(X))) & (~p2(tptp_fun_Y_18(X)))) | (p3(tptp_fun_Y_18(X)) & p2(tptp_fun_Y_18(X))) | ((~p2(tptp_fun_Y_18(X))) & (~p3(tptp_fun_Y_18(X)))) | (p4(tptp_fun_Y_18(X)) & p3(tptp_fun_Y_18(X))) | ((~p3(tptp_fun_Y_18(X))) & (~p4(tptp_fun_Y_18(X)))) | (p5(tptp_fun_Y_18(X)) & p4(tptp_fun_Y_18(X))) | ((~p4(tptp_fun_Y_18(X))) & (~p5(tptp_fun_Y_18(X)))) | (p6(tptp_fun_Y_18(X)) & p5(tptp_fun_Y_18(X))) | ((~p5(tptp_fun_Y_18(X))) & (~p6(tptp_fun_Y_18(X)))) | (p7(tptp_fun_Y_18(X)) & p6(tptp_fun_Y_18(X))) | ((~p6(tptp_fun_Y_18(X))) & (~p7(tptp_fun_Y_18(X)))) | (p8(tptp_fun_Y_18(X)) & p7(tptp_fun_Y_18(X))) | ((~p7(tptp_fun_Y_18(X))) & (~p8(tptp_fun_Y_18(X)))) | (p9(tptp_fun_Y_18(X)) & p8(tptp_fun_Y_18(X))) | ((~p8(tptp_fun_Y_18(X))) & (~p9(tptp_fun_Y_18(X)))) | (p10(tptp_fun_Y_18(X)) & p9(tptp_fun_Y_18(X))) | ((~p9(tptp_fun_Y_18(X))) & (~p10(tptp_fun_Y_18(X)))) | (p11(tptp_fun_Y_18(X)) & p10(tptp_fun_Y_18(X))) | ((~p10(tptp_fun_Y_18(X))) & (~p11(tptp_fun_Y_18(X)))) | (p12(tptp_fun_Y_18(X)) & p11(tptp_fun_Y_18(X))) | ((~p11(tptp_fun_Y_18(X))) & (~p12(tptp_fun_Y_18(X)))) | (p13(tptp_fun_Y_18(X)) & p12(tptp_fun_Y_18(X))) | ((~p12(tptp_fun_Y_18(X))) & (~p13(tptp_fun_Y_18(X)))) | (p14(tptp_fun_Y_18(X)) & p13(tptp_fun_Y_18(X))) | ((~p13(tptp_fun_Y_18(X))) & (~p14(tptp_fun_Y_18(X))))))))),
% 5.60/3.78 inference(and_elim,[status(thm)],[33])).
% 5.60/3.78 tff(35,plain,
% 5.60/3.78 (![X: $i] : ((~r1(Y!3, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_5(X))) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~r1(tptp_fun_X_6(X), tptp_fun_Y_7(X))) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~r1(tptp_fun_X_8(X), tptp_fun_Y_9(X))) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))) | (~r1(tptp_fun_X_10(X), tptp_fun_Y_11(X))) | (~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | (~r1(tptp_fun_X_12(X), tptp_fun_Y_13(X))) | (~r1(tptp_fun_Y_13(X), tptp_fun_X_14(X))) | (~r1(tptp_fun_X_14(X), tptp_fun_Y_15(X))) | (~r1(tptp_fun_Y_15(X), tptp_fun_X_16(X))) | (~r1(tptp_fun_X_16(X), tptp_fun_Y_17(X))) | (~r1(X, tptp_fun_Y_18(X))) | (~((~p1(tptp_fun_Y_18(X))) | (~p2(tptp_fun_Y_18(X))))) | (~(p1(tptp_fun_Y_18(X)) | p2(tptp_fun_Y_18(X)))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~((~p2(tptp_fun_Y_18(X))) | (~p3(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~(p2(tptp_fun_Y_18(X)) | p3(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~((~p3(tptp_fun_Y_18(X))) | (~p4(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~(p3(tptp_fun_Y_18(X)) | p4(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~((~p4(tptp_fun_Y_18(X))) | (~p5(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~(p4(tptp_fun_Y_18(X)) | p5(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))) | (~((~p5(tptp_fun_Y_18(X))) | (~p6(tptp_fun_Y_18(X))))) | (~(p5(tptp_fun_Y_18(X)) | p6(tptp_fun_Y_18(X)))) | (~((~p6(tptp_fun_Y_18(X))) | (~p7(tptp_fun_Y_18(X))))) | (~(p6(tptp_fun_Y_18(X)) | p7(tptp_fun_Y_18(X)))) | (~((~p7(tptp_fun_Y_18(X))) | (~p8(tptp_fun_Y_18(X))))) | (~(p7(tptp_fun_Y_18(X)) | p8(tptp_fun_Y_18(X)))) | (~((~p8(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p8(tptp_fun_Y_18(X)) | p9(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p9(tptp_fun_Y_18(X)) | p10(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p11(tptp_fun_Y_18(X))))) | (~(p10(tptp_fun_Y_18(X)) | p11(tptp_fun_Y_18(X)))) | (~((~p11(tptp_fun_Y_18(X))) | (~p12(tptp_fun_Y_18(X))))) | (~(p11(tptp_fun_Y_18(X)) | p12(tptp_fun_Y_18(X)))) | (~((~p12(tptp_fun_Y_18(X))) | (~p13(tptp_fun_Y_18(X))))) | (~(p12(tptp_fun_Y_18(X)) | p13(tptp_fun_Y_18(X)))) | (~((~p13(tptp_fun_Y_18(X))) | (~p14(tptp_fun_Y_18(X))))) | (~(p13(tptp_fun_Y_18(X)) | p14(tptp_fun_Y_18(X)))))))),
% 5.60/3.78 inference(modus_ponens,[status(thm)],[34, 19])).
% 5.60/3.78 tff(36,plain,
% 5.60/3.78 (![X: $i] : ((~r1(Y!3, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_5(X))) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~r1(tptp_fun_X_6(X), tptp_fun_Y_7(X))) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~r1(tptp_fun_X_8(X), tptp_fun_Y_9(X))) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))) | (~r1(tptp_fun_X_10(X), tptp_fun_Y_11(X))) | (~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | (~r1(tptp_fun_X_12(X), tptp_fun_Y_13(X))) | (~r1(tptp_fun_Y_13(X), tptp_fun_X_14(X))) | (~r1(tptp_fun_X_14(X), tptp_fun_Y_15(X))) | (~r1(tptp_fun_Y_15(X), tptp_fun_X_16(X))) | (~r1(tptp_fun_X_16(X), tptp_fun_Y_17(X))) | (~r1(X, tptp_fun_Y_18(X))) | (~((~p1(tptp_fun_Y_18(X))) | (~p2(tptp_fun_Y_18(X))))) | (~(p1(tptp_fun_Y_18(X)) | p2(tptp_fun_Y_18(X)))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~((~p2(tptp_fun_Y_18(X))) | (~p3(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~(p2(tptp_fun_Y_18(X)) | p3(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~((~p3(tptp_fun_Y_18(X))) | (~p4(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~(p3(tptp_fun_Y_18(X)) | p4(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~((~p4(tptp_fun_Y_18(X))) | (~p5(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~(p4(tptp_fun_Y_18(X)) | p5(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))) | (~((~p5(tptp_fun_Y_18(X))) | (~p6(tptp_fun_Y_18(X))))) | (~(p5(tptp_fun_Y_18(X)) | p6(tptp_fun_Y_18(X)))) | (~((~p6(tptp_fun_Y_18(X))) | (~p7(tptp_fun_Y_18(X))))) | (~(p6(tptp_fun_Y_18(X)) | p7(tptp_fun_Y_18(X)))) | (~((~p7(tptp_fun_Y_18(X))) | (~p8(tptp_fun_Y_18(X))))) | (~(p7(tptp_fun_Y_18(X)) | p8(tptp_fun_Y_18(X)))) | (~((~p8(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p8(tptp_fun_Y_18(X)) | p9(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p9(tptp_fun_Y_18(X)) | p10(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p11(tptp_fun_Y_18(X))))) | (~(p10(tptp_fun_Y_18(X)) | p11(tptp_fun_Y_18(X)))) | (~((~p11(tptp_fun_Y_18(X))) | (~p12(tptp_fun_Y_18(X))))) | (~(p11(tptp_fun_Y_18(X)) | p12(tptp_fun_Y_18(X)))) | (~((~p12(tptp_fun_Y_18(X))) | (~p13(tptp_fun_Y_18(X))))) | (~(p12(tptp_fun_Y_18(X)) | p13(tptp_fun_Y_18(X)))) | (~((~p13(tptp_fun_Y_18(X))) | (~p14(tptp_fun_Y_18(X))))) | (~(p13(tptp_fun_Y_18(X)) | p14(tptp_fun_Y_18(X)))))))),
% 5.60/3.78 inference(modus_ponens,[status(thm)],[35, 17])).
% 5.60/3.78 tff(37,plain,
% 5.60/3.78 (![X: $i] : ((~r1(Y!3, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_5(X))) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~r1(tptp_fun_X_6(X), tptp_fun_Y_7(X))) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~r1(tptp_fun_X_8(X), tptp_fun_Y_9(X))) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))) | (~r1(tptp_fun_X_10(X), tptp_fun_Y_11(X))) | (~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | (~r1(tptp_fun_X_12(X), tptp_fun_Y_13(X))) | (~r1(tptp_fun_Y_13(X), tptp_fun_X_14(X))) | (~r1(tptp_fun_X_14(X), tptp_fun_Y_15(X))) | (~r1(tptp_fun_Y_15(X), tptp_fun_X_16(X))) | (~r1(tptp_fun_X_16(X), tptp_fun_Y_17(X))) | (~r1(X, tptp_fun_Y_18(X))) | (~((~p1(tptp_fun_Y_18(X))) | (~p2(tptp_fun_Y_18(X))))) | (~(p1(tptp_fun_Y_18(X)) | p2(tptp_fun_Y_18(X)))) | (~((~p2(tptp_fun_Y_18(X))) | (~p3(tptp_fun_Y_18(X))))) | (~(p2(tptp_fun_Y_18(X)) | p3(tptp_fun_Y_18(X)))) | (~((~p3(tptp_fun_Y_18(X))) | (~p4(tptp_fun_Y_18(X))))) | (~(p3(tptp_fun_Y_18(X)) | p4(tptp_fun_Y_18(X)))) | (~((~p4(tptp_fun_Y_18(X))) | (~p5(tptp_fun_Y_18(X))))) | (~(p4(tptp_fun_Y_18(X)) | p5(tptp_fun_Y_18(X)))) | (~((~p5(tptp_fun_Y_18(X))) | (~p6(tptp_fun_Y_18(X))))) | (~(p5(tptp_fun_Y_18(X)) | p6(tptp_fun_Y_18(X)))) | (~((~p6(tptp_fun_Y_18(X))) | (~p7(tptp_fun_Y_18(X))))) | (~(p6(tptp_fun_Y_18(X)) | p7(tptp_fun_Y_18(X)))) | (~((~p7(tptp_fun_Y_18(X))) | (~p8(tptp_fun_Y_18(X))))) | (~(p7(tptp_fun_Y_18(X)) | p8(tptp_fun_Y_18(X)))) | (~((~p8(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p8(tptp_fun_Y_18(X)) | p9(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p9(tptp_fun_Y_18(X)) | p10(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p11(tptp_fun_Y_18(X))))) | (~(p10(tptp_fun_Y_18(X)) | p11(tptp_fun_Y_18(X)))) | (~((~p11(tptp_fun_Y_18(X))) | (~p12(tptp_fun_Y_18(X))))) | (~(p11(tptp_fun_Y_18(X)) | p12(tptp_fun_Y_18(X)))) | (~((~p12(tptp_fun_Y_18(X))) | (~p13(tptp_fun_Y_18(X))))) | (~(p12(tptp_fun_Y_18(X)) | p13(tptp_fun_Y_18(X)))) | (~((~p13(tptp_fun_Y_18(X))) | (~p14(tptp_fun_Y_18(X))))) | (~(p13(tptp_fun_Y_18(X)) | p14(tptp_fun_Y_18(X)))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))))))),
% 5.70/3.78 inference(modus_ponens,[status(thm)],[36, 12])).
% 5.70/3.78 tff(38,plain,
% 5.70/3.78 (((~![X: $i] : ((~r1(Y!3, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_5(X))) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~r1(tptp_fun_X_6(X), tptp_fun_Y_7(X))) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~r1(tptp_fun_X_8(X), tptp_fun_Y_9(X))) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))) | (~r1(tptp_fun_X_10(X), tptp_fun_Y_11(X))) | (~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | (~r1(tptp_fun_X_12(X), tptp_fun_Y_13(X))) | (~r1(tptp_fun_Y_13(X), tptp_fun_X_14(X))) | (~r1(tptp_fun_X_14(X), tptp_fun_Y_15(X))) | (~r1(tptp_fun_Y_15(X), tptp_fun_X_16(X))) | (~r1(tptp_fun_X_16(X), tptp_fun_Y_17(X))) | (~r1(X, tptp_fun_Y_18(X))) | (~((~p1(tptp_fun_Y_18(X))) | (~p2(tptp_fun_Y_18(X))))) | (~(p1(tptp_fun_Y_18(X)) | p2(tptp_fun_Y_18(X)))) | (~((~p2(tptp_fun_Y_18(X))) | (~p3(tptp_fun_Y_18(X))))) | (~(p2(tptp_fun_Y_18(X)) | p3(tptp_fun_Y_18(X)))) | (~((~p3(tptp_fun_Y_18(X))) | (~p4(tptp_fun_Y_18(X))))) | (~(p3(tptp_fun_Y_18(X)) | p4(tptp_fun_Y_18(X)))) | 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(~![X: $i] : ((~r1(tptp_fun_Y_5(Y!3), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~(p5(tptp_fun_Y_18(Y!3)) | p6(tptp_fun_Y_18(Y!3)))) | (~((~p6(tptp_fun_Y_18(Y!3))) | (~p7(tptp_fun_Y_18(Y!3))))) | (~(p10(tptp_fun_Y_18(Y!3)) | p9(tptp_fun_Y_18(Y!3)))) | (~(p11(tptp_fun_Y_18(Y!3)) | p12(tptp_fun_Y_18(Y!3)))) | (~((~p12(tptp_fun_Y_18(Y!3))) | (~p13(tptp_fun_Y_18(Y!3))))) | (~(p10(tptp_fun_Y_18(Y!3)) | p11(tptp_fun_Y_18(Y!3)))) | (~((~p13(tptp_fun_Y_18(Y!3))) | (~p14(tptp_fun_Y_18(Y!3))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(Y!3), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))) | (~(p12(tptp_fun_Y_18(Y!3)) | p13(tptp_fun_Y_18(Y!3)))) | (~((~p7(tptp_fun_Y_18(Y!3))) | (~p8(tptp_fun_Y_18(Y!3))))) | (~((~p4(tptp_fun_Y_18(Y!3))) | (~p5(tptp_fun_Y_18(Y!3))))) | (~(p4(tptp_fun_Y_18(Y!3)) | p5(tptp_fun_Y_18(Y!3)))) | (~(p7(tptp_fun_Y_18(Y!3)) | p8(tptp_fun_Y_18(Y!3)))) | (~![Y: $i] : ((~r1(Y!3, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(Y!3), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(Y!3), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~((~p11(tptp_fun_Y_18(Y!3))) | (~p12(tptp_fun_Y_18(Y!3))))) | (~(p3(tptp_fun_Y_18(Y!3)) | p4(tptp_fun_Y_18(Y!3)))) | (~r1(tptp_fun_Y_9(Y!3), tptp_fun_X_10(Y!3))) | (~r1(tptp_fun_X_10(Y!3), tptp_fun_Y_11(Y!3))) | (~r1(tptp_fun_X_14(Y!3), tptp_fun_Y_15(Y!3))) | (~r1(tptp_fun_Y_15(Y!3), tptp_fun_X_16(Y!3))) | (~((~p1(tptp_fun_Y_18(Y!3))) | (~p2(tptp_fun_Y_18(Y!3))))) | (~r1(tptp_fun_X_12(Y!3), tptp_fun_Y_13(Y!3))) | (~r1(tptp_fun_Y_13(Y!3), tptp_fun_X_14(Y!3))) | (~r1(Y!3, tptp_fun_Y_5(Y!3))) | (~r1(tptp_fun_Y_11(Y!3), tptp_fun_X_12(Y!3))) | (~r1(tptp_fun_X_6(Y!3), tptp_fun_Y_7(Y!3))) | (~r1(tptp_fun_Y_7(Y!3), tptp_fun_X_8(Y!3))) | (~r1(tptp_fun_X_8(Y!3), tptp_fun_Y_9(Y!3))) | (~r1(tptp_fun_Y_5(Y!3), tptp_fun_X_6(Y!3))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(Y!3), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | p15(tptp_fun_Y_4(Y!3)) | (~r1(Y!3, tptp_fun_Y_4(Y!3))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(Y!3), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(Y!3), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(Y!3), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(Y!3), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(Y!3), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(Y!3), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~r1(Y!3, tptp_fun_Y_18(Y!3))) | (~r1(tptp_fun_X_16(Y!3), tptp_fun_Y_17(Y!3))) | (~(p2(tptp_fun_Y_18(Y!3)) | p3(tptp_fun_Y_18(Y!3)))) | (~((~p2(tptp_fun_Y_18(Y!3))) | (~p3(tptp_fun_Y_18(Y!3))))) | (~(p1(tptp_fun_Y_18(Y!3)) | p2(tptp_fun_Y_18(Y!3)))))))) <=> ((~![X: $i] : ((~r1(Y!3, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_5(X))) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~r1(tptp_fun_X_6(X), tptp_fun_Y_7(X))) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~r1(tptp_fun_X_8(X), tptp_fun_Y_9(X))) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))) | (~r1(tptp_fun_X_10(X), tptp_fun_Y_11(X))) | (~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | (~r1(tptp_fun_X_12(X), tptp_fun_Y_13(X))) | (~r1(tptp_fun_Y_13(X), tptp_fun_X_14(X))) | (~r1(tptp_fun_X_14(X), tptp_fun_Y_15(X))) | (~r1(tptp_fun_Y_15(X), tptp_fun_X_16(X))) | (~r1(tptp_fun_X_16(X), tptp_fun_Y_17(X))) | (~r1(X, tptp_fun_Y_18(X))) | (~((~p1(tptp_fun_Y_18(X))) | (~p2(tptp_fun_Y_18(X))))) | (~(p1(tptp_fun_Y_18(X)) | p2(tptp_fun_Y_18(X)))) | (~((~p2(tptp_fun_Y_18(X))) | (~p3(tptp_fun_Y_18(X))))) | (~(p2(tptp_fun_Y_18(X)) | p3(tptp_fun_Y_18(X)))) | (~((~p3(tptp_fun_Y_18(X))) | (~p4(tptp_fun_Y_18(X))))) | (~(p3(tptp_fun_Y_18(X)) | p4(tptp_fun_Y_18(X)))) | (~((~p4(tptp_fun_Y_18(X))) | (~p5(tptp_fun_Y_18(X))))) | (~(p4(tptp_fun_Y_18(X)) | p5(tptp_fun_Y_18(X)))) | (~((~p5(tptp_fun_Y_18(X))) | (~p6(tptp_fun_Y_18(X))))) | (~(p5(tptp_fun_Y_18(X)) | p6(tptp_fun_Y_18(X)))) | (~((~p6(tptp_fun_Y_18(X))) | (~p7(tptp_fun_Y_18(X))))) | (~(p6(tptp_fun_Y_18(X)) | p7(tptp_fun_Y_18(X)))) | (~((~p7(tptp_fun_Y_18(X))) | (~p8(tptp_fun_Y_18(X))))) | (~(p7(tptp_fun_Y_18(X)) | p8(tptp_fun_Y_18(X)))) | (~((~p8(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p8(tptp_fun_Y_18(X)) | p9(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p9(tptp_fun_Y_18(X)) | p10(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p11(tptp_fun_Y_18(X))))) | (~(p10(tptp_fun_Y_18(X)) | p11(tptp_fun_Y_18(X)))) | (~((~p11(tptp_fun_Y_18(X))) | (~p12(tptp_fun_Y_18(X))))) | (~(p11(tptp_fun_Y_18(X)) | p12(tptp_fun_Y_18(X)))) | (~((~p12(tptp_fun_Y_18(X))) | (~p13(tptp_fun_Y_18(X))))) | (~(p12(tptp_fun_Y_18(X)) | p13(tptp_fun_Y_18(X)))) | (~((~p13(tptp_fun_Y_18(X))) | (~p14(tptp_fun_Y_18(X))))) | (~(p13(tptp_fun_Y_18(X)) | p14(tptp_fun_Y_18(X)))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))))))) | (~r1(Y!3, Y!3)) | (~((~((~p5(tptp_fun_Y_18(Y!3))) | (~p6(tptp_fun_Y_18(Y!3))))) | (~(p13(tptp_fun_Y_18(Y!3)) | p14(tptp_fun_Y_18(Y!3)))) | (~((~p8(tptp_fun_Y_18(Y!3))) | (~p9(tptp_fun_Y_18(Y!3))))) | (~(p8(tptp_fun_Y_18(Y!3)) | p9(tptp_fun_Y_18(Y!3)))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(Y!3), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~((~p10(tptp_fun_Y_18(Y!3))) | (~p11(tptp_fun_Y_18(Y!3))))) | (~(p6(tptp_fun_Y_18(Y!3)) | p7(tptp_fun_Y_18(Y!3)))) | (~((~p3(tptp_fun_Y_18(Y!3))) | (~p4(tptp_fun_Y_18(Y!3))))) | (~((~p10(tptp_fun_Y_18(Y!3))) | (~p9(tptp_fun_Y_18(Y!3))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(Y!3), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~(p5(tptp_fun_Y_18(Y!3)) | p6(tptp_fun_Y_18(Y!3)))) | (~((~p6(tptp_fun_Y_18(Y!3))) | (~p7(tptp_fun_Y_18(Y!3))))) | (~(p10(tptp_fun_Y_18(Y!3)) | p9(tptp_fun_Y_18(Y!3)))) | (~(p11(tptp_fun_Y_18(Y!3)) | p12(tptp_fun_Y_18(Y!3)))) | (~((~p12(tptp_fun_Y_18(Y!3))) | (~p13(tptp_fun_Y_18(Y!3))))) | (~(p10(tptp_fun_Y_18(Y!3)) | p11(tptp_fun_Y_18(Y!3)))) | (~((~p13(tptp_fun_Y_18(Y!3))) | (~p14(tptp_fun_Y_18(Y!3))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(Y!3), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))) | (~(p12(tptp_fun_Y_18(Y!3)) | p13(tptp_fun_Y_18(Y!3)))) | (~((~p7(tptp_fun_Y_18(Y!3))) | (~p8(tptp_fun_Y_18(Y!3))))) | (~((~p4(tptp_fun_Y_18(Y!3))) | (~p5(tptp_fun_Y_18(Y!3))))) | (~(p4(tptp_fun_Y_18(Y!3)) | p5(tptp_fun_Y_18(Y!3)))) | (~(p7(tptp_fun_Y_18(Y!3)) | p8(tptp_fun_Y_18(Y!3)))) | (~![Y: $i] : ((~r1(Y!3, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(Y!3), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(Y!3), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~((~p11(tptp_fun_Y_18(Y!3))) | (~p12(tptp_fun_Y_18(Y!3))))) | (~(p3(tptp_fun_Y_18(Y!3)) | p4(tptp_fun_Y_18(Y!3)))) | (~r1(tptp_fun_Y_9(Y!3), tptp_fun_X_10(Y!3))) | (~r1(tptp_fun_X_10(Y!3), tptp_fun_Y_11(Y!3))) | (~r1(tptp_fun_X_14(Y!3), tptp_fun_Y_15(Y!3))) | (~r1(tptp_fun_Y_15(Y!3), tptp_fun_X_16(Y!3))) | (~((~p1(tptp_fun_Y_18(Y!3))) | (~p2(tptp_fun_Y_18(Y!3))))) | (~r1(tptp_fun_X_12(Y!3), tptp_fun_Y_13(Y!3))) | (~r1(tptp_fun_Y_13(Y!3), tptp_fun_X_14(Y!3))) | (~r1(Y!3, tptp_fun_Y_5(Y!3))) | (~r1(tptp_fun_Y_11(Y!3), tptp_fun_X_12(Y!3))) | (~r1(tptp_fun_X_6(Y!3), tptp_fun_Y_7(Y!3))) | (~r1(tptp_fun_Y_7(Y!3), tptp_fun_X_8(Y!3))) | (~r1(tptp_fun_X_8(Y!3), tptp_fun_Y_9(Y!3))) | (~r1(tptp_fun_Y_5(Y!3), tptp_fun_X_6(Y!3))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(Y!3), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | p15(tptp_fun_Y_4(Y!3)) | (~r1(Y!3, tptp_fun_Y_4(Y!3))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(Y!3), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(Y!3), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(Y!3), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(Y!3), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(Y!3), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(Y!3), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~r1(Y!3, tptp_fun_Y_18(Y!3))) | (~r1(tptp_fun_X_16(Y!3), tptp_fun_Y_17(Y!3))) | (~(p2(tptp_fun_Y_18(Y!3)) | p3(tptp_fun_Y_18(Y!3)))) | (~((~p2(tptp_fun_Y_18(Y!3))) | (~p3(tptp_fun_Y_18(Y!3))))) | (~(p1(tptp_fun_Y_18(Y!3)) | p2(tptp_fun_Y_18(Y!3)))))))),
% 5.70/3.79 inference(rewrite,[status(thm)],[])).
% 5.70/3.79 tff(39,plain,
% 5.70/3.79 (((~r1(Y!3, Y!3)) | (~((~r1(Y!3, tptp_fun_Y_4(Y!3))) | p15(tptp_fun_Y_4(Y!3)) | (~r1(Y!3, tptp_fun_Y_5(Y!3))) | (~r1(tptp_fun_Y_5(Y!3), tptp_fun_X_6(Y!3))) | (~r1(tptp_fun_X_6(Y!3), tptp_fun_Y_7(Y!3))) | (~r1(tptp_fun_Y_7(Y!3), tptp_fun_X_8(Y!3))) | (~r1(tptp_fun_X_8(Y!3), tptp_fun_Y_9(Y!3))) | (~r1(tptp_fun_Y_9(Y!3), tptp_fun_X_10(Y!3))) | (~r1(tptp_fun_X_10(Y!3), tptp_fun_Y_11(Y!3))) | (~r1(tptp_fun_Y_11(Y!3), tptp_fun_X_12(Y!3))) | (~r1(tptp_fun_X_12(Y!3), tptp_fun_Y_13(Y!3))) | (~r1(tptp_fun_Y_13(Y!3), tptp_fun_X_14(Y!3))) | (~r1(tptp_fun_X_14(Y!3), tptp_fun_Y_15(Y!3))) | (~r1(tptp_fun_Y_15(Y!3), tptp_fun_X_16(Y!3))) | (~r1(tptp_fun_X_16(Y!3), tptp_fun_Y_17(Y!3))) | (~r1(Y!3, tptp_fun_Y_18(Y!3))) | (~((~p1(tptp_fun_Y_18(Y!3))) | (~p2(tptp_fun_Y_18(Y!3))))) | (~(p1(tptp_fun_Y_18(Y!3)) | p2(tptp_fun_Y_18(Y!3)))) | (~((~p2(tptp_fun_Y_18(Y!3))) | (~p3(tptp_fun_Y_18(Y!3))))) | (~(p2(tptp_fun_Y_18(Y!3)) | p3(tptp_fun_Y_18(Y!3)))) | (~((~p3(tptp_fun_Y_18(Y!3))) | (~p4(tptp_fun_Y_18(Y!3))))) | (~(p3(tptp_fun_Y_18(Y!3)) | p4(tptp_fun_Y_18(Y!3)))) | (~((~p4(tptp_fun_Y_18(Y!3))) | (~p5(tptp_fun_Y_18(Y!3))))) | (~(p4(tptp_fun_Y_18(Y!3)) | p5(tptp_fun_Y_18(Y!3)))) | (~((~p5(tptp_fun_Y_18(Y!3))) | (~p6(tptp_fun_Y_18(Y!3))))) | (~(p5(tptp_fun_Y_18(Y!3)) | p6(tptp_fun_Y_18(Y!3)))) | (~((~p6(tptp_fun_Y_18(Y!3))) | (~p7(tptp_fun_Y_18(Y!3))))) | (~(p6(tptp_fun_Y_18(Y!3)) | p7(tptp_fun_Y_18(Y!3)))) | (~((~p7(tptp_fun_Y_18(Y!3))) | (~p8(tptp_fun_Y_18(Y!3))))) | (~(p7(tptp_fun_Y_18(Y!3)) | p8(tptp_fun_Y_18(Y!3)))) | (~((~p8(tptp_fun_Y_18(Y!3))) | (~p9(tptp_fun_Y_18(Y!3))))) | (~(p8(tptp_fun_Y_18(Y!3)) | p9(tptp_fun_Y_18(Y!3)))) | (~((~p10(tptp_fun_Y_18(Y!3))) | (~p9(tptp_fun_Y_18(Y!3))))) | (~(p9(tptp_fun_Y_18(Y!3)) | p10(tptp_fun_Y_18(Y!3)))) | (~((~p10(tptp_fun_Y_18(Y!3))) | (~p11(tptp_fun_Y_18(Y!3))))) | (~(p10(tptp_fun_Y_18(Y!3)) | p11(tptp_fun_Y_18(Y!3)))) | (~((~p11(tptp_fun_Y_18(Y!3))) | (~p12(tptp_fun_Y_18(Y!3))))) | (~(p11(tptp_fun_Y_18(Y!3)) | p12(tptp_fun_Y_18(Y!3)))) | (~((~p12(tptp_fun_Y_18(Y!3))) | (~p13(tptp_fun_Y_18(Y!3))))) | (~(p12(tptp_fun_Y_18(Y!3)) | p13(tptp_fun_Y_18(Y!3)))) | (~((~p13(tptp_fun_Y_18(Y!3))) | (~p14(tptp_fun_Y_18(Y!3))))) | (~(p13(tptp_fun_Y_18(Y!3)) | p14(tptp_fun_Y_18(Y!3)))) | (~![Y: $i] : ((~r1(Y!3, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(Y!3), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(Y!3), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(Y!3), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(Y!3), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(Y!3), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(Y!3), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(Y!3), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(Y!3), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(Y!3), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(Y!3), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(Y!3), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(Y!3), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y))))))))))) <=> ((~r1(Y!3, Y!3)) | (~((~((~p5(tptp_fun_Y_18(Y!3))) | (~p6(tptp_fun_Y_18(Y!3))))) | (~(p13(tptp_fun_Y_18(Y!3)) | p14(tptp_fun_Y_18(Y!3)))) | (~((~p8(tptp_fun_Y_18(Y!3))) | (~p9(tptp_fun_Y_18(Y!3))))) | (~(p8(tptp_fun_Y_18(Y!3)) | p9(tptp_fun_Y_18(Y!3)))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(Y!3), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~((~p10(tptp_fun_Y_18(Y!3))) | (~p11(tptp_fun_Y_18(Y!3))))) | (~(p6(tptp_fun_Y_18(Y!3)) | p7(tptp_fun_Y_18(Y!3)))) | (~((~p3(tptp_fun_Y_18(Y!3))) | (~p4(tptp_fun_Y_18(Y!3))))) | (~((~p10(tptp_fun_Y_18(Y!3))) | (~p9(tptp_fun_Y_18(Y!3))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(Y!3), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~(p5(tptp_fun_Y_18(Y!3)) | p6(tptp_fun_Y_18(Y!3)))) | (~((~p6(tptp_fun_Y_18(Y!3))) | (~p7(tptp_fun_Y_18(Y!3))))) | (~(p10(tptp_fun_Y_18(Y!3)) | p9(tptp_fun_Y_18(Y!3)))) | (~(p11(tptp_fun_Y_18(Y!3)) | p12(tptp_fun_Y_18(Y!3)))) | (~((~p12(tptp_fun_Y_18(Y!3))) | (~p13(tptp_fun_Y_18(Y!3))))) | (~(p10(tptp_fun_Y_18(Y!3)) | p11(tptp_fun_Y_18(Y!3)))) | (~((~p13(tptp_fun_Y_18(Y!3))) | (~p14(tptp_fun_Y_18(Y!3))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(Y!3), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))) | (~(p12(tptp_fun_Y_18(Y!3)) | p13(tptp_fun_Y_18(Y!3)))) | (~((~p7(tptp_fun_Y_18(Y!3))) | (~p8(tptp_fun_Y_18(Y!3))))) | (~((~p4(tptp_fun_Y_18(Y!3))) | (~p5(tptp_fun_Y_18(Y!3))))) | (~(p4(tptp_fun_Y_18(Y!3)) | p5(tptp_fun_Y_18(Y!3)))) | (~(p7(tptp_fun_Y_18(Y!3)) | p8(tptp_fun_Y_18(Y!3)))) | (~![Y: $i] : ((~r1(Y!3, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(Y!3), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(Y!3), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~((~p11(tptp_fun_Y_18(Y!3))) | (~p12(tptp_fun_Y_18(Y!3))))) | (~(p3(tptp_fun_Y_18(Y!3)) | p4(tptp_fun_Y_18(Y!3)))) | (~r1(tptp_fun_Y_9(Y!3), tptp_fun_X_10(Y!3))) | (~r1(tptp_fun_X_10(Y!3), tptp_fun_Y_11(Y!3))) | (~r1(tptp_fun_X_14(Y!3), tptp_fun_Y_15(Y!3))) | (~r1(tptp_fun_Y_15(Y!3), tptp_fun_X_16(Y!3))) | (~((~p1(tptp_fun_Y_18(Y!3))) | (~p2(tptp_fun_Y_18(Y!3))))) | (~r1(tptp_fun_X_12(Y!3), tptp_fun_Y_13(Y!3))) | (~r1(tptp_fun_Y_13(Y!3), tptp_fun_X_14(Y!3))) | (~r1(Y!3, tptp_fun_Y_5(Y!3))) | (~r1(tptp_fun_Y_11(Y!3), tptp_fun_X_12(Y!3))) | (~r1(tptp_fun_X_6(Y!3), tptp_fun_Y_7(Y!3))) | (~r1(tptp_fun_Y_7(Y!3), tptp_fun_X_8(Y!3))) | (~r1(tptp_fun_X_8(Y!3), tptp_fun_Y_9(Y!3))) | (~r1(tptp_fun_Y_5(Y!3), tptp_fun_X_6(Y!3))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(Y!3), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | p15(tptp_fun_Y_4(Y!3)) | (~r1(Y!3, tptp_fun_Y_4(Y!3))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(Y!3), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(Y!3), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(Y!3), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(Y!3), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(Y!3), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(Y!3), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~r1(Y!3, tptp_fun_Y_18(Y!3))) | (~r1(tptp_fun_X_16(Y!3), tptp_fun_Y_17(Y!3))) | (~(p2(tptp_fun_Y_18(Y!3)) | p3(tptp_fun_Y_18(Y!3)))) | (~((~p2(tptp_fun_Y_18(Y!3))) | (~p3(tptp_fun_Y_18(Y!3))))) | (~(p1(tptp_fun_Y_18(Y!3)) | p2(tptp_fun_Y_18(Y!3)))))))),
% 5.70/3.79 inference(rewrite,[status(thm)],[])).
% 5.70/3.79 tff(40,plain,
% 5.70/3.79 (((~![X: $i] : ((~r1(Y!3, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_5(X))) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~r1(tptp_fun_X_6(X), tptp_fun_Y_7(X))) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~r1(tptp_fun_X_8(X), tptp_fun_Y_9(X))) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))) | (~r1(tptp_fun_X_10(X), tptp_fun_Y_11(X))) | (~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | (~r1(tptp_fun_X_12(X), tptp_fun_Y_13(X))) | (~r1(tptp_fun_Y_13(X), tptp_fun_X_14(X))) | (~r1(tptp_fun_X_14(X), tptp_fun_Y_15(X))) | (~r1(tptp_fun_Y_15(X), tptp_fun_X_16(X))) | (~r1(tptp_fun_X_16(X), tptp_fun_Y_17(X))) | (~r1(X, tptp_fun_Y_18(X))) | (~((~p1(tptp_fun_Y_18(X))) | (~p2(tptp_fun_Y_18(X))))) | (~(p1(tptp_fun_Y_18(X)) | p2(tptp_fun_Y_18(X)))) | (~((~p2(tptp_fun_Y_18(X))) | (~p3(tptp_fun_Y_18(X))))) | (~(p2(tptp_fun_Y_18(X)) | p3(tptp_fun_Y_18(X)))) | (~((~p3(tptp_fun_Y_18(X))) | (~p4(tptp_fun_Y_18(X))))) | (~(p3(tptp_fun_Y_18(X)) | p4(tptp_fun_Y_18(X)))) | (~((~p4(tptp_fun_Y_18(X))) | (~p5(tptp_fun_Y_18(X))))) | (~(p4(tptp_fun_Y_18(X)) | p5(tptp_fun_Y_18(X)))) | (~((~p5(tptp_fun_Y_18(X))) | (~p6(tptp_fun_Y_18(X))))) | (~(p5(tptp_fun_Y_18(X)) | p6(tptp_fun_Y_18(X)))) | (~((~p6(tptp_fun_Y_18(X))) | (~p7(tptp_fun_Y_18(X))))) | (~(p6(tptp_fun_Y_18(X)) | p7(tptp_fun_Y_18(X)))) | (~((~p7(tptp_fun_Y_18(X))) | (~p8(tptp_fun_Y_18(X))))) | (~(p7(tptp_fun_Y_18(X)) | p8(tptp_fun_Y_18(X)))) | (~((~p8(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p8(tptp_fun_Y_18(X)) | p9(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p9(tptp_fun_Y_18(X)) | p10(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p11(tptp_fun_Y_18(X))))) | (~(p10(tptp_fun_Y_18(X)) | p11(tptp_fun_Y_18(X)))) | (~((~p11(tptp_fun_Y_18(X))) | (~p12(tptp_fun_Y_18(X))))) | (~(p11(tptp_fun_Y_18(X)) | p12(tptp_fun_Y_18(X)))) | (~((~p12(tptp_fun_Y_18(X))) | (~p13(tptp_fun_Y_18(X))))) | (~(p12(tptp_fun_Y_18(X)) | p13(tptp_fun_Y_18(X)))) | (~((~p13(tptp_fun_Y_18(X))) | (~p14(tptp_fun_Y_18(X))))) | (~(p13(tptp_fun_Y_18(X)) | p14(tptp_fun_Y_18(X)))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))))))) | ((~r1(Y!3, Y!3)) | (~((~r1(Y!3, tptp_fun_Y_4(Y!3))) | p15(tptp_fun_Y_4(Y!3)) | (~r1(Y!3, tptp_fun_Y_5(Y!3))) | (~r1(tptp_fun_Y_5(Y!3), tptp_fun_X_6(Y!3))) | (~r1(tptp_fun_X_6(Y!3), tptp_fun_Y_7(Y!3))) | (~r1(tptp_fun_Y_7(Y!3), tptp_fun_X_8(Y!3))) | (~r1(tptp_fun_X_8(Y!3), tptp_fun_Y_9(Y!3))) | (~r1(tptp_fun_Y_9(Y!3), tptp_fun_X_10(Y!3))) | (~r1(tptp_fun_X_10(Y!3), tptp_fun_Y_11(Y!3))) | (~r1(tptp_fun_Y_11(Y!3), tptp_fun_X_12(Y!3))) | (~r1(tptp_fun_X_12(Y!3), tptp_fun_Y_13(Y!3))) | (~r1(tptp_fun_Y_13(Y!3), tptp_fun_X_14(Y!3))) | (~r1(tptp_fun_X_14(Y!3), tptp_fun_Y_15(Y!3))) | (~r1(tptp_fun_Y_15(Y!3), tptp_fun_X_16(Y!3))) | (~r1(tptp_fun_X_16(Y!3), tptp_fun_Y_17(Y!3))) | (~r1(Y!3, tptp_fun_Y_18(Y!3))) | (~((~p1(tptp_fun_Y_18(Y!3))) | (~p2(tptp_fun_Y_18(Y!3))))) | (~(p1(tptp_fun_Y_18(Y!3)) | p2(tptp_fun_Y_18(Y!3)))) | (~((~p2(tptp_fun_Y_18(Y!3))) | (~p3(tptp_fun_Y_18(Y!3))))) | (~(p2(tptp_fun_Y_18(Y!3)) | p3(tptp_fun_Y_18(Y!3)))) | (~((~p3(tptp_fun_Y_18(Y!3))) | (~p4(tptp_fun_Y_18(Y!3))))) | (~(p3(tptp_fun_Y_18(Y!3)) | p4(tptp_fun_Y_18(Y!3)))) | (~((~p4(tptp_fun_Y_18(Y!3))) | (~p5(tptp_fun_Y_18(Y!3))))) | (~(p4(tptp_fun_Y_18(Y!3)) | p5(tptp_fun_Y_18(Y!3)))) | (~((~p5(tptp_fun_Y_18(Y!3))) | (~p6(tptp_fun_Y_18(Y!3))))) | (~(p5(tptp_fun_Y_18(Y!3)) | p6(tptp_fun_Y_18(Y!3)))) | (~((~p6(tptp_fun_Y_18(Y!3))) | (~p7(tptp_fun_Y_18(Y!3))))) | (~(p6(tptp_fun_Y_18(Y!3)) | p7(tptp_fun_Y_18(Y!3)))) | (~((~p7(tptp_fun_Y_18(Y!3))) | (~p8(tptp_fun_Y_18(Y!3))))) | (~(p7(tptp_fun_Y_18(Y!3)) | p8(tptp_fun_Y_18(Y!3)))) | (~((~p8(tptp_fun_Y_18(Y!3))) | (~p9(tptp_fun_Y_18(Y!3))))) | (~(p8(tptp_fun_Y_18(Y!3)) | p9(tptp_fun_Y_18(Y!3)))) | (~((~p10(tptp_fun_Y_18(Y!3))) | (~p9(tptp_fun_Y_18(Y!3))))) | (~(p9(tptp_fun_Y_18(Y!3)) | p10(tptp_fun_Y_18(Y!3)))) | (~((~p10(tptp_fun_Y_18(Y!3))) | (~p11(tptp_fun_Y_18(Y!3))))) | (~(p10(tptp_fun_Y_18(Y!3)) | p11(tptp_fun_Y_18(Y!3)))) | (~((~p11(tptp_fun_Y_18(Y!3))) | (~p12(tptp_fun_Y_18(Y!3))))) | (~(p11(tptp_fun_Y_18(Y!3)) | p12(tptp_fun_Y_18(Y!3)))) | (~((~p12(tptp_fun_Y_18(Y!3))) | (~p13(tptp_fun_Y_18(Y!3))))) | (~(p12(tptp_fun_Y_18(Y!3)) | p13(tptp_fun_Y_18(Y!3)))) | (~((~p13(tptp_fun_Y_18(Y!3))) | (~p14(tptp_fun_Y_18(Y!3))))) | (~(p13(tptp_fun_Y_18(Y!3)) | p14(tptp_fun_Y_18(Y!3)))) | (~![Y: $i] : ((~r1(Y!3, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(Y!3), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(Y!3), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(Y!3), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(Y!3), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(Y!3), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(Y!3), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(Y!3), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(Y!3), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(Y!3), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(Y!3), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(Y!3), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(Y!3), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))))))) <=> ((~![X: $i] : ((~r1(Y!3, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_5(X))) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~r1(tptp_fun_X_6(X), tptp_fun_Y_7(X))) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~r1(tptp_fun_X_8(X), tptp_fun_Y_9(X))) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))) | (~r1(tptp_fun_X_10(X), tptp_fun_Y_11(X))) | (~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | (~r1(tptp_fun_X_12(X), tptp_fun_Y_13(X))) | (~r1(tptp_fun_Y_13(X), tptp_fun_X_14(X))) | (~r1(tptp_fun_X_14(X), tptp_fun_Y_15(X))) | (~r1(tptp_fun_Y_15(X), tptp_fun_X_16(X))) | (~r1(tptp_fun_X_16(X), tptp_fun_Y_17(X))) | (~r1(X, tptp_fun_Y_18(X))) | (~((~p1(tptp_fun_Y_18(X))) | (~p2(tptp_fun_Y_18(X))))) | (~(p1(tptp_fun_Y_18(X)) | p2(tptp_fun_Y_18(X)))) | (~((~p2(tptp_fun_Y_18(X))) | (~p3(tptp_fun_Y_18(X))))) | (~(p2(tptp_fun_Y_18(X)) | p3(tptp_fun_Y_18(X)))) | (~((~p3(tptp_fun_Y_18(X))) | (~p4(tptp_fun_Y_18(X))))) | (~(p3(tptp_fun_Y_18(X)) | p4(tptp_fun_Y_18(X)))) | (~((~p4(tptp_fun_Y_18(X))) | (~p5(tptp_fun_Y_18(X))))) | (~(p4(tptp_fun_Y_18(X)) | p5(tptp_fun_Y_18(X)))) | (~((~p5(tptp_fun_Y_18(X))) | (~p6(tptp_fun_Y_18(X))))) | (~(p5(tptp_fun_Y_18(X)) | p6(tptp_fun_Y_18(X)))) | (~((~p6(tptp_fun_Y_18(X))) | (~p7(tptp_fun_Y_18(X))))) | (~(p6(tptp_fun_Y_18(X)) | p7(tptp_fun_Y_18(X)))) | (~((~p7(tptp_fun_Y_18(X))) | (~p8(tptp_fun_Y_18(X))))) | (~(p7(tptp_fun_Y_18(X)) | p8(tptp_fun_Y_18(X)))) | (~((~p8(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p8(tptp_fun_Y_18(X)) | p9(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p9(tptp_fun_Y_18(X)) | p10(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p11(tptp_fun_Y_18(X))))) | (~(p10(tptp_fun_Y_18(X)) | p11(tptp_fun_Y_18(X)))) | (~((~p11(tptp_fun_Y_18(X))) | (~p12(tptp_fun_Y_18(X))))) | (~(p11(tptp_fun_Y_18(X)) | p12(tptp_fun_Y_18(X)))) | (~((~p12(tptp_fun_Y_18(X))) | (~p13(tptp_fun_Y_18(X))))) | (~(p12(tptp_fun_Y_18(X)) | p13(tptp_fun_Y_18(X)))) | (~((~p13(tptp_fun_Y_18(X))) | (~p14(tptp_fun_Y_18(X))))) | (~(p13(tptp_fun_Y_18(X)) | p14(tptp_fun_Y_18(X)))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))))))) | ((~r1(Y!3, Y!3)) | (~((~((~p5(tptp_fun_Y_18(Y!3))) | (~p6(tptp_fun_Y_18(Y!3))))) | (~(p13(tptp_fun_Y_18(Y!3)) | p14(tptp_fun_Y_18(Y!3)))) | (~((~p8(tptp_fun_Y_18(Y!3))) | (~p9(tptp_fun_Y_18(Y!3))))) | (~(p8(tptp_fun_Y_18(Y!3)) | p9(tptp_fun_Y_18(Y!3)))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(Y!3), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~((~p10(tptp_fun_Y_18(Y!3))) | (~p11(tptp_fun_Y_18(Y!3))))) | (~(p6(tptp_fun_Y_18(Y!3)) | p7(tptp_fun_Y_18(Y!3)))) | (~((~p3(tptp_fun_Y_18(Y!3))) | (~p4(tptp_fun_Y_18(Y!3))))) | (~((~p10(tptp_fun_Y_18(Y!3))) | (~p9(tptp_fun_Y_18(Y!3))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(Y!3), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~(p5(tptp_fun_Y_18(Y!3)) | p6(tptp_fun_Y_18(Y!3)))) | (~((~p6(tptp_fun_Y_18(Y!3))) | (~p7(tptp_fun_Y_18(Y!3))))) | (~(p10(tptp_fun_Y_18(Y!3)) | p9(tptp_fun_Y_18(Y!3)))) | (~(p11(tptp_fun_Y_18(Y!3)) | p12(tptp_fun_Y_18(Y!3)))) | (~((~p12(tptp_fun_Y_18(Y!3))) | (~p13(tptp_fun_Y_18(Y!3))))) | (~(p10(tptp_fun_Y_18(Y!3)) | p11(tptp_fun_Y_18(Y!3)))) | (~((~p13(tptp_fun_Y_18(Y!3))) | (~p14(tptp_fun_Y_18(Y!3))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(Y!3), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))) | (~(p12(tptp_fun_Y_18(Y!3)) | p13(tptp_fun_Y_18(Y!3)))) | (~((~p7(tptp_fun_Y_18(Y!3))) | (~p8(tptp_fun_Y_18(Y!3))))) | (~((~p4(tptp_fun_Y_18(Y!3))) | (~p5(tptp_fun_Y_18(Y!3))))) | (~(p4(tptp_fun_Y_18(Y!3)) | p5(tptp_fun_Y_18(Y!3)))) | (~(p7(tptp_fun_Y_18(Y!3)) | p8(tptp_fun_Y_18(Y!3)))) | (~![Y: $i] : ((~r1(Y!3, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(Y!3), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(Y!3), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~((~p11(tptp_fun_Y_18(Y!3))) | (~p12(tptp_fun_Y_18(Y!3))))) | (~(p3(tptp_fun_Y_18(Y!3)) | p4(tptp_fun_Y_18(Y!3)))) | (~r1(tptp_fun_Y_9(Y!3), tptp_fun_X_10(Y!3))) | (~r1(tptp_fun_X_10(Y!3), tptp_fun_Y_11(Y!3))) | (~r1(tptp_fun_X_14(Y!3), tptp_fun_Y_15(Y!3))) | (~r1(tptp_fun_Y_15(Y!3), tptp_fun_X_16(Y!3))) | (~((~p1(tptp_fun_Y_18(Y!3))) | (~p2(tptp_fun_Y_18(Y!3))))) | (~r1(tptp_fun_X_12(Y!3), tptp_fun_Y_13(Y!3))) | (~r1(tptp_fun_Y_13(Y!3), tptp_fun_X_14(Y!3))) | (~r1(Y!3, tptp_fun_Y_5(Y!3))) | (~r1(tptp_fun_Y_11(Y!3), tptp_fun_X_12(Y!3))) | (~r1(tptp_fun_X_6(Y!3), tptp_fun_Y_7(Y!3))) | (~r1(tptp_fun_Y_7(Y!3), tptp_fun_X_8(Y!3))) | (~r1(tptp_fun_X_8(Y!3), tptp_fun_Y_9(Y!3))) | (~r1(tptp_fun_Y_5(Y!3), tptp_fun_X_6(Y!3))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(Y!3), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | p15(tptp_fun_Y_4(Y!3)) | (~r1(Y!3, tptp_fun_Y_4(Y!3))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(Y!3), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(Y!3), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(Y!3), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(Y!3), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(Y!3), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(Y!3), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~r1(Y!3, tptp_fun_Y_18(Y!3))) | (~r1(tptp_fun_X_16(Y!3), tptp_fun_Y_17(Y!3))) | (~(p2(tptp_fun_Y_18(Y!3)) | p3(tptp_fun_Y_18(Y!3)))) | (~((~p2(tptp_fun_Y_18(Y!3))) | (~p3(tptp_fun_Y_18(Y!3))))) | (~(p1(tptp_fun_Y_18(Y!3)) | p2(tptp_fun_Y_18(Y!3))))))))),
% 5.72/3.80 inference(monotonicity,[status(thm)],[39])).
% 5.72/3.80 tff(41,plain,
% 5.72/3.80 (((~![X: $i] : ((~r1(Y!3, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_5(X))) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~r1(tptp_fun_X_6(X), tptp_fun_Y_7(X))) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~r1(tptp_fun_X_8(X), tptp_fun_Y_9(X))) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))) | (~r1(tptp_fun_X_10(X), tptp_fun_Y_11(X))) | (~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | (~r1(tptp_fun_X_12(X), tptp_fun_Y_13(X))) | (~r1(tptp_fun_Y_13(X), tptp_fun_X_14(X))) | (~r1(tptp_fun_X_14(X), tptp_fun_Y_15(X))) | (~r1(tptp_fun_Y_15(X), tptp_fun_X_16(X))) | (~r1(tptp_fun_X_16(X), tptp_fun_Y_17(X))) | (~r1(X, tptp_fun_Y_18(X))) | (~((~p1(tptp_fun_Y_18(X))) | (~p2(tptp_fun_Y_18(X))))) | (~(p1(tptp_fun_Y_18(X)) | p2(tptp_fun_Y_18(X)))) | (~((~p2(tptp_fun_Y_18(X))) | (~p3(tptp_fun_Y_18(X))))) | (~(p2(tptp_fun_Y_18(X)) | p3(tptp_fun_Y_18(X)))) | (~((~p3(tptp_fun_Y_18(X))) | (~p4(tptp_fun_Y_18(X))))) | (~(p3(tptp_fun_Y_18(X)) | p4(tptp_fun_Y_18(X)))) | (~((~p4(tptp_fun_Y_18(X))) | (~p5(tptp_fun_Y_18(X))))) | (~(p4(tptp_fun_Y_18(X)) | p5(tptp_fun_Y_18(X)))) | (~((~p5(tptp_fun_Y_18(X))) | (~p6(tptp_fun_Y_18(X))))) | (~(p5(tptp_fun_Y_18(X)) | p6(tptp_fun_Y_18(X)))) | (~((~p6(tptp_fun_Y_18(X))) | (~p7(tptp_fun_Y_18(X))))) | (~(p6(tptp_fun_Y_18(X)) | p7(tptp_fun_Y_18(X)))) | (~((~p7(tptp_fun_Y_18(X))) | (~p8(tptp_fun_Y_18(X))))) | (~(p7(tptp_fun_Y_18(X)) | p8(tptp_fun_Y_18(X)))) | (~((~p8(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p8(tptp_fun_Y_18(X)) | p9(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p9(tptp_fun_Y_18(X)) | p10(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p11(tptp_fun_Y_18(X))))) | (~(p10(tptp_fun_Y_18(X)) | p11(tptp_fun_Y_18(X)))) | (~((~p11(tptp_fun_Y_18(X))) | (~p12(tptp_fun_Y_18(X))))) | (~(p11(tptp_fun_Y_18(X)) | p12(tptp_fun_Y_18(X)))) | (~((~p12(tptp_fun_Y_18(X))) | (~p13(tptp_fun_Y_18(X))))) | (~(p12(tptp_fun_Y_18(X)) | p13(tptp_fun_Y_18(X)))) | (~((~p13(tptp_fun_Y_18(X))) | (~p14(tptp_fun_Y_18(X))))) | (~(p13(tptp_fun_Y_18(X)) | p14(tptp_fun_Y_18(X)))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))))))) | ((~r1(Y!3, Y!3)) | (~((~r1(Y!3, tptp_fun_Y_4(Y!3))) | p15(tptp_fun_Y_4(Y!3)) | (~r1(Y!3, tptp_fun_Y_5(Y!3))) | (~r1(tptp_fun_Y_5(Y!3), tptp_fun_X_6(Y!3))) | (~r1(tptp_fun_X_6(Y!3), tptp_fun_Y_7(Y!3))) | (~r1(tptp_fun_Y_7(Y!3), tptp_fun_X_8(Y!3))) | (~r1(tptp_fun_X_8(Y!3), tptp_fun_Y_9(Y!3))) | (~r1(tptp_fun_Y_9(Y!3), tptp_fun_X_10(Y!3))) | (~r1(tptp_fun_X_10(Y!3), tptp_fun_Y_11(Y!3))) | (~r1(tptp_fun_Y_11(Y!3), tptp_fun_X_12(Y!3))) | (~r1(tptp_fun_X_12(Y!3), tptp_fun_Y_13(Y!3))) | (~r1(tptp_fun_Y_13(Y!3), tptp_fun_X_14(Y!3))) | (~r1(tptp_fun_X_14(Y!3), tptp_fun_Y_15(Y!3))) | (~r1(tptp_fun_Y_15(Y!3), tptp_fun_X_16(Y!3))) | (~r1(tptp_fun_X_16(Y!3), tptp_fun_Y_17(Y!3))) | (~r1(Y!3, tptp_fun_Y_18(Y!3))) | (~((~p1(tptp_fun_Y_18(Y!3))) | (~p2(tptp_fun_Y_18(Y!3))))) | (~(p1(tptp_fun_Y_18(Y!3)) | p2(tptp_fun_Y_18(Y!3)))) | (~((~p2(tptp_fun_Y_18(Y!3))) | (~p3(tptp_fun_Y_18(Y!3))))) | (~(p2(tptp_fun_Y_18(Y!3)) | p3(tptp_fun_Y_18(Y!3)))) | (~((~p3(tptp_fun_Y_18(Y!3))) | (~p4(tptp_fun_Y_18(Y!3))))) | (~(p3(tptp_fun_Y_18(Y!3)) | p4(tptp_fun_Y_18(Y!3)))) | (~((~p4(tptp_fun_Y_18(Y!3))) | (~p5(tptp_fun_Y_18(Y!3))))) | (~(p4(tptp_fun_Y_18(Y!3)) | p5(tptp_fun_Y_18(Y!3)))) | (~((~p5(tptp_fun_Y_18(Y!3))) | (~p6(tptp_fun_Y_18(Y!3))))) | (~(p5(tptp_fun_Y_18(Y!3)) | p6(tptp_fun_Y_18(Y!3)))) | (~((~p6(tptp_fun_Y_18(Y!3))) | (~p7(tptp_fun_Y_18(Y!3))))) | (~(p6(tptp_fun_Y_18(Y!3)) | p7(tptp_fun_Y_18(Y!3)))) | (~((~p7(tptp_fun_Y_18(Y!3))) | (~p8(tptp_fun_Y_18(Y!3))))) | (~(p7(tptp_fun_Y_18(Y!3)) | p8(tptp_fun_Y_18(Y!3)))) | (~((~p8(tptp_fun_Y_18(Y!3))) | (~p9(tptp_fun_Y_18(Y!3))))) | (~(p8(tptp_fun_Y_18(Y!3)) | p9(tptp_fun_Y_18(Y!3)))) | (~((~p10(tptp_fun_Y_18(Y!3))) | (~p9(tptp_fun_Y_18(Y!3))))) | (~(p9(tptp_fun_Y_18(Y!3)) | p10(tptp_fun_Y_18(Y!3)))) | (~((~p10(tptp_fun_Y_18(Y!3))) | (~p11(tptp_fun_Y_18(Y!3))))) | (~(p10(tptp_fun_Y_18(Y!3)) | p11(tptp_fun_Y_18(Y!3)))) | (~((~p11(tptp_fun_Y_18(Y!3))) | (~p12(tptp_fun_Y_18(Y!3))))) | (~(p11(tptp_fun_Y_18(Y!3)) | p12(tptp_fun_Y_18(Y!3)))) | (~((~p12(tptp_fun_Y_18(Y!3))) | (~p13(tptp_fun_Y_18(Y!3))))) | (~(p12(tptp_fun_Y_18(Y!3)) | p13(tptp_fun_Y_18(Y!3)))) | (~((~p13(tptp_fun_Y_18(Y!3))) | (~p14(tptp_fun_Y_18(Y!3))))) | (~(p13(tptp_fun_Y_18(Y!3)) | p14(tptp_fun_Y_18(Y!3)))) | (~![Y: $i] : ((~r1(Y!3, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(Y!3), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(Y!3), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(Y!3), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(Y!3), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(Y!3), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(Y!3), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(Y!3), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(Y!3), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(Y!3), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(Y!3), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(Y!3), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(Y!3), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))))))) <=> ((~![X: $i] : ((~r1(Y!3, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_5(X))) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~r1(tptp_fun_X_6(X), tptp_fun_Y_7(X))) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~r1(tptp_fun_X_8(X), tptp_fun_Y_9(X))) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))) | (~r1(tptp_fun_X_10(X), tptp_fun_Y_11(X))) | (~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | (~r1(tptp_fun_X_12(X), tptp_fun_Y_13(X))) | (~r1(tptp_fun_Y_13(X), tptp_fun_X_14(X))) | (~r1(tptp_fun_X_14(X), tptp_fun_Y_15(X))) | (~r1(tptp_fun_Y_15(X), tptp_fun_X_16(X))) | (~r1(tptp_fun_X_16(X), tptp_fun_Y_17(X))) | (~r1(X, tptp_fun_Y_18(X))) | (~((~p1(tptp_fun_Y_18(X))) | (~p2(tptp_fun_Y_18(X))))) | (~(p1(tptp_fun_Y_18(X)) | p2(tptp_fun_Y_18(X)))) | (~((~p2(tptp_fun_Y_18(X))) | (~p3(tptp_fun_Y_18(X))))) | (~(p2(tptp_fun_Y_18(X)) | p3(tptp_fun_Y_18(X)))) | (~((~p3(tptp_fun_Y_18(X))) | (~p4(tptp_fun_Y_18(X))))) | (~(p3(tptp_fun_Y_18(X)) | p4(tptp_fun_Y_18(X)))) | (~((~p4(tptp_fun_Y_18(X))) | (~p5(tptp_fun_Y_18(X))))) | (~(p4(tptp_fun_Y_18(X)) | p5(tptp_fun_Y_18(X)))) | (~((~p5(tptp_fun_Y_18(X))) | (~p6(tptp_fun_Y_18(X))))) | (~(p5(tptp_fun_Y_18(X)) | p6(tptp_fun_Y_18(X)))) | (~((~p6(tptp_fun_Y_18(X))) | (~p7(tptp_fun_Y_18(X))))) | (~(p6(tptp_fun_Y_18(X)) | p7(tptp_fun_Y_18(X)))) | (~((~p7(tptp_fun_Y_18(X))) | (~p8(tptp_fun_Y_18(X))))) | (~(p7(tptp_fun_Y_18(X)) | p8(tptp_fun_Y_18(X)))) | (~((~p8(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p8(tptp_fun_Y_18(X)) | p9(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p9(tptp_fun_Y_18(X)) | p10(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p11(tptp_fun_Y_18(X))))) | (~(p10(tptp_fun_Y_18(X)) | p11(tptp_fun_Y_18(X)))) | (~((~p11(tptp_fun_Y_18(X))) | (~p12(tptp_fun_Y_18(X))))) | (~(p11(tptp_fun_Y_18(X)) | p12(tptp_fun_Y_18(X)))) | (~((~p12(tptp_fun_Y_18(X))) | (~p13(tptp_fun_Y_18(X))))) | (~(p12(tptp_fun_Y_18(X)) | p13(tptp_fun_Y_18(X)))) | (~((~p13(tptp_fun_Y_18(X))) | (~p14(tptp_fun_Y_18(X))))) | (~(p13(tptp_fun_Y_18(X)) | p14(tptp_fun_Y_18(X)))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))))))) | (~r1(Y!3, Y!3)) | (~((~((~p5(tptp_fun_Y_18(Y!3))) | (~p6(tptp_fun_Y_18(Y!3))))) | (~(p13(tptp_fun_Y_18(Y!3)) | p14(tptp_fun_Y_18(Y!3)))) | (~((~p8(tptp_fun_Y_18(Y!3))) | (~p9(tptp_fun_Y_18(Y!3))))) | (~(p8(tptp_fun_Y_18(Y!3)) | p9(tptp_fun_Y_18(Y!3)))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(Y!3), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~((~p10(tptp_fun_Y_18(Y!3))) | (~p11(tptp_fun_Y_18(Y!3))))) | (~(p6(tptp_fun_Y_18(Y!3)) | p7(tptp_fun_Y_18(Y!3)))) | (~((~p3(tptp_fun_Y_18(Y!3))) | (~p4(tptp_fun_Y_18(Y!3))))) | (~((~p10(tptp_fun_Y_18(Y!3))) | (~p9(tptp_fun_Y_18(Y!3))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(Y!3), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~(p5(tptp_fun_Y_18(Y!3)) | p6(tptp_fun_Y_18(Y!3)))) | (~((~p6(tptp_fun_Y_18(Y!3))) | (~p7(tptp_fun_Y_18(Y!3))))) | (~(p10(tptp_fun_Y_18(Y!3)) | p9(tptp_fun_Y_18(Y!3)))) | (~(p11(tptp_fun_Y_18(Y!3)) | p12(tptp_fun_Y_18(Y!3)))) | (~((~p12(tptp_fun_Y_18(Y!3))) | (~p13(tptp_fun_Y_18(Y!3))))) | (~(p10(tptp_fun_Y_18(Y!3)) | p11(tptp_fun_Y_18(Y!3)))) | (~((~p13(tptp_fun_Y_18(Y!3))) | (~p14(tptp_fun_Y_18(Y!3))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(Y!3), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))) | (~(p12(tptp_fun_Y_18(Y!3)) | p13(tptp_fun_Y_18(Y!3)))) | (~((~p7(tptp_fun_Y_18(Y!3))) | (~p8(tptp_fun_Y_18(Y!3))))) | (~((~p4(tptp_fun_Y_18(Y!3))) | (~p5(tptp_fun_Y_18(Y!3))))) | (~(p4(tptp_fun_Y_18(Y!3)) | p5(tptp_fun_Y_18(Y!3)))) | (~(p7(tptp_fun_Y_18(Y!3)) | p8(tptp_fun_Y_18(Y!3)))) | (~![Y: $i] : ((~r1(Y!3, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(Y!3), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(Y!3), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~((~p11(tptp_fun_Y_18(Y!3))) | (~p12(tptp_fun_Y_18(Y!3))))) | (~(p3(tptp_fun_Y_18(Y!3)) | p4(tptp_fun_Y_18(Y!3)))) | (~r1(tptp_fun_Y_9(Y!3), tptp_fun_X_10(Y!3))) | (~r1(tptp_fun_X_10(Y!3), tptp_fun_Y_11(Y!3))) | (~r1(tptp_fun_X_14(Y!3), tptp_fun_Y_15(Y!3))) | (~r1(tptp_fun_Y_15(Y!3), tptp_fun_X_16(Y!3))) | (~((~p1(tptp_fun_Y_18(Y!3))) | (~p2(tptp_fun_Y_18(Y!3))))) | (~r1(tptp_fun_X_12(Y!3), tptp_fun_Y_13(Y!3))) | (~r1(tptp_fun_Y_13(Y!3), tptp_fun_X_14(Y!3))) | (~r1(Y!3, tptp_fun_Y_5(Y!3))) | (~r1(tptp_fun_Y_11(Y!3), tptp_fun_X_12(Y!3))) | (~r1(tptp_fun_X_6(Y!3), tptp_fun_Y_7(Y!3))) | (~r1(tptp_fun_Y_7(Y!3), tptp_fun_X_8(Y!3))) | (~r1(tptp_fun_X_8(Y!3), tptp_fun_Y_9(Y!3))) | (~r1(tptp_fun_Y_5(Y!3), tptp_fun_X_6(Y!3))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(Y!3), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | p15(tptp_fun_Y_4(Y!3)) | (~r1(Y!3, tptp_fun_Y_4(Y!3))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(Y!3), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(Y!3), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(Y!3), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(Y!3), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(Y!3), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(Y!3), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~r1(Y!3, tptp_fun_Y_18(Y!3))) | (~r1(tptp_fun_X_16(Y!3), tptp_fun_Y_17(Y!3))) | (~(p2(tptp_fun_Y_18(Y!3)) | p3(tptp_fun_Y_18(Y!3)))) | (~((~p2(tptp_fun_Y_18(Y!3))) | (~p3(tptp_fun_Y_18(Y!3))))) | (~(p1(tptp_fun_Y_18(Y!3)) | p2(tptp_fun_Y_18(Y!3)))))))),
% 5.72/3.81 inference(transitivity,[status(thm)],[40, 38])).
% 5.72/3.81 tff(42,plain,
% 5.72/3.81 ((~![X: $i] : ((~r1(Y!3, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_5(X))) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~r1(tptp_fun_X_6(X), tptp_fun_Y_7(X))) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~r1(tptp_fun_X_8(X), tptp_fun_Y_9(X))) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))) | (~r1(tptp_fun_X_10(X), tptp_fun_Y_11(X))) | (~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | (~r1(tptp_fun_X_12(X), tptp_fun_Y_13(X))) | (~r1(tptp_fun_Y_13(X), tptp_fun_X_14(X))) | (~r1(tptp_fun_X_14(X), tptp_fun_Y_15(X))) | (~r1(tptp_fun_Y_15(X), tptp_fun_X_16(X))) | (~r1(tptp_fun_X_16(X), tptp_fun_Y_17(X))) | (~r1(X, tptp_fun_Y_18(X))) | (~((~p1(tptp_fun_Y_18(X))) | (~p2(tptp_fun_Y_18(X))))) | (~(p1(tptp_fun_Y_18(X)) | p2(tptp_fun_Y_18(X)))) | (~((~p2(tptp_fun_Y_18(X))) | (~p3(tptp_fun_Y_18(X))))) | (~(p2(tptp_fun_Y_18(X)) | p3(tptp_fun_Y_18(X)))) | (~((~p3(tptp_fun_Y_18(X))) | (~p4(tptp_fun_Y_18(X))))) | (~(p3(tptp_fun_Y_18(X)) | p4(tptp_fun_Y_18(X)))) | (~((~p4(tptp_fun_Y_18(X))) | (~p5(tptp_fun_Y_18(X))))) | (~(p4(tptp_fun_Y_18(X)) | p5(tptp_fun_Y_18(X)))) | (~((~p5(tptp_fun_Y_18(X))) | (~p6(tptp_fun_Y_18(X))))) | (~(p5(tptp_fun_Y_18(X)) | p6(tptp_fun_Y_18(X)))) | (~((~p6(tptp_fun_Y_18(X))) | (~p7(tptp_fun_Y_18(X))))) | (~(p6(tptp_fun_Y_18(X)) | p7(tptp_fun_Y_18(X)))) | (~((~p7(tptp_fun_Y_18(X))) | (~p8(tptp_fun_Y_18(X))))) | (~(p7(tptp_fun_Y_18(X)) | p8(tptp_fun_Y_18(X)))) | (~((~p8(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p8(tptp_fun_Y_18(X)) | p9(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p9(tptp_fun_Y_18(X)) | p10(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p11(tptp_fun_Y_18(X))))) | (~(p10(tptp_fun_Y_18(X)) | p11(tptp_fun_Y_18(X)))) | (~((~p11(tptp_fun_Y_18(X))) | (~p12(tptp_fun_Y_18(X))))) | (~(p11(tptp_fun_Y_18(X)) | p12(tptp_fun_Y_18(X)))) | (~((~p12(tptp_fun_Y_18(X))) | (~p13(tptp_fun_Y_18(X))))) | (~(p12(tptp_fun_Y_18(X)) | p13(tptp_fun_Y_18(X)))) | (~((~p13(tptp_fun_Y_18(X))) | (~p14(tptp_fun_Y_18(X))))) | (~(p13(tptp_fun_Y_18(X)) | p14(tptp_fun_Y_18(X)))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))))))) | ((~r1(Y!3, Y!3)) | (~((~r1(Y!3, tptp_fun_Y_4(Y!3))) | p15(tptp_fun_Y_4(Y!3)) | (~r1(Y!3, tptp_fun_Y_5(Y!3))) | (~r1(tptp_fun_Y_5(Y!3), tptp_fun_X_6(Y!3))) | (~r1(tptp_fun_X_6(Y!3), tptp_fun_Y_7(Y!3))) | (~r1(tptp_fun_Y_7(Y!3), tptp_fun_X_8(Y!3))) | (~r1(tptp_fun_X_8(Y!3), tptp_fun_Y_9(Y!3))) | (~r1(tptp_fun_Y_9(Y!3), tptp_fun_X_10(Y!3))) | (~r1(tptp_fun_X_10(Y!3), tptp_fun_Y_11(Y!3))) | (~r1(tptp_fun_Y_11(Y!3), tptp_fun_X_12(Y!3))) | (~r1(tptp_fun_X_12(Y!3), tptp_fun_Y_13(Y!3))) | (~r1(tptp_fun_Y_13(Y!3), tptp_fun_X_14(Y!3))) | (~r1(tptp_fun_X_14(Y!3), tptp_fun_Y_15(Y!3))) | (~r1(tptp_fun_Y_15(Y!3), tptp_fun_X_16(Y!3))) | (~r1(tptp_fun_X_16(Y!3), tptp_fun_Y_17(Y!3))) | (~r1(Y!3, tptp_fun_Y_18(Y!3))) | (~((~p1(tptp_fun_Y_18(Y!3))) | (~p2(tptp_fun_Y_18(Y!3))))) | (~(p1(tptp_fun_Y_18(Y!3)) | p2(tptp_fun_Y_18(Y!3)))) | (~((~p2(tptp_fun_Y_18(Y!3))) | (~p3(tptp_fun_Y_18(Y!3))))) | (~(p2(tptp_fun_Y_18(Y!3)) | p3(tptp_fun_Y_18(Y!3)))) | (~((~p3(tptp_fun_Y_18(Y!3))) | (~p4(tptp_fun_Y_18(Y!3))))) | (~(p3(tptp_fun_Y_18(Y!3)) | p4(tptp_fun_Y_18(Y!3)))) | (~((~p4(tptp_fun_Y_18(Y!3))) | (~p5(tptp_fun_Y_18(Y!3))))) | (~(p4(tptp_fun_Y_18(Y!3)) | p5(tptp_fun_Y_18(Y!3)))) | (~((~p5(tptp_fun_Y_18(Y!3))) | (~p6(tptp_fun_Y_18(Y!3))))) | (~(p5(tptp_fun_Y_18(Y!3)) | p6(tptp_fun_Y_18(Y!3)))) | (~((~p6(tptp_fun_Y_18(Y!3))) | (~p7(tptp_fun_Y_18(Y!3))))) | (~(p6(tptp_fun_Y_18(Y!3)) | p7(tptp_fun_Y_18(Y!3)))) | (~((~p7(tptp_fun_Y_18(Y!3))) | (~p8(tptp_fun_Y_18(Y!3))))) | (~(p7(tptp_fun_Y_18(Y!3)) | p8(tptp_fun_Y_18(Y!3)))) | (~((~p8(tptp_fun_Y_18(Y!3))) | (~p9(tptp_fun_Y_18(Y!3))))) | (~(p8(tptp_fun_Y_18(Y!3)) | p9(tptp_fun_Y_18(Y!3)))) | (~((~p10(tptp_fun_Y_18(Y!3))) | (~p9(tptp_fun_Y_18(Y!3))))) | (~(p9(tptp_fun_Y_18(Y!3)) | p10(tptp_fun_Y_18(Y!3)))) | (~((~p10(tptp_fun_Y_18(Y!3))) | (~p11(tptp_fun_Y_18(Y!3))))) | (~(p10(tptp_fun_Y_18(Y!3)) | p11(tptp_fun_Y_18(Y!3)))) | (~((~p11(tptp_fun_Y_18(Y!3))) | (~p12(tptp_fun_Y_18(Y!3))))) | (~(p11(tptp_fun_Y_18(Y!3)) | p12(tptp_fun_Y_18(Y!3)))) | (~((~p12(tptp_fun_Y_18(Y!3))) | (~p13(tptp_fun_Y_18(Y!3))))) | (~(p12(tptp_fun_Y_18(Y!3)) | p13(tptp_fun_Y_18(Y!3)))) | (~((~p13(tptp_fun_Y_18(Y!3))) | (~p14(tptp_fun_Y_18(Y!3))))) | (~(p13(tptp_fun_Y_18(Y!3)) | p14(tptp_fun_Y_18(Y!3)))) | (~![Y: $i] : ((~r1(Y!3, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(Y!3), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(Y!3), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(Y!3), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(Y!3), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(Y!3), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(Y!3), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(Y!3), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(Y!3), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(Y!3), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(Y!3), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(Y!3), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(Y!3), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))))))),
% 5.73/3.81 inference(quant_inst,[status(thm)],[])).
% 5.73/3.81 tff(43,plain,
% 5.73/3.81 ((~![X: $i] : ((~r1(Y!3, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_5(X))) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~r1(tptp_fun_X_6(X), tptp_fun_Y_7(X))) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~r1(tptp_fun_X_8(X), tptp_fun_Y_9(X))) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))) | (~r1(tptp_fun_X_10(X), tptp_fun_Y_11(X))) | (~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | (~r1(tptp_fun_X_12(X), tptp_fun_Y_13(X))) | (~r1(tptp_fun_Y_13(X), tptp_fun_X_14(X))) | (~r1(tptp_fun_X_14(X), tptp_fun_Y_15(X))) | (~r1(tptp_fun_Y_15(X), tptp_fun_X_16(X))) | (~r1(tptp_fun_X_16(X), tptp_fun_Y_17(X))) | (~r1(X, tptp_fun_Y_18(X))) | (~((~p1(tptp_fun_Y_18(X))) | (~p2(tptp_fun_Y_18(X))))) | (~(p1(tptp_fun_Y_18(X)) | p2(tptp_fun_Y_18(X)))) | (~((~p2(tptp_fun_Y_18(X))) | (~p3(tptp_fun_Y_18(X))))) | (~(p2(tptp_fun_Y_18(X)) | p3(tptp_fun_Y_18(X)))) | (~((~p3(tptp_fun_Y_18(X))) | (~p4(tptp_fun_Y_18(X))))) | (~(p3(tptp_fun_Y_18(X)) | p4(tptp_fun_Y_18(X)))) | 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$i] : ((~r1(tptp_fun_Y_5(Y!3), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~(p5(tptp_fun_Y_18(Y!3)) | p6(tptp_fun_Y_18(Y!3)))) | (~((~p6(tptp_fun_Y_18(Y!3))) | (~p7(tptp_fun_Y_18(Y!3))))) | (~(p10(tptp_fun_Y_18(Y!3)) | p9(tptp_fun_Y_18(Y!3)))) | (~(p11(tptp_fun_Y_18(Y!3)) | p12(tptp_fun_Y_18(Y!3)))) | (~((~p12(tptp_fun_Y_18(Y!3))) | (~p13(tptp_fun_Y_18(Y!3))))) | (~(p10(tptp_fun_Y_18(Y!3)) | p11(tptp_fun_Y_18(Y!3)))) | (~((~p13(tptp_fun_Y_18(Y!3))) | (~p14(tptp_fun_Y_18(Y!3))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(Y!3), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))) | (~(p12(tptp_fun_Y_18(Y!3)) | p13(tptp_fun_Y_18(Y!3)))) | (~((~p7(tptp_fun_Y_18(Y!3))) | (~p8(tptp_fun_Y_18(Y!3))))) | (~((~p4(tptp_fun_Y_18(Y!3))) | (~p5(tptp_fun_Y_18(Y!3))))) | (~(p4(tptp_fun_Y_18(Y!3)) | p5(tptp_fun_Y_18(Y!3)))) | (~(p7(tptp_fun_Y_18(Y!3)) | p8(tptp_fun_Y_18(Y!3)))) | (~![Y: $i] : ((~r1(Y!3, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![Y: $i] : 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(~(p5(X) | (~p4(X)))))))) | p15(tptp_fun_Y_4(Y!3)) | (~r1(Y!3, tptp_fun_Y_4(Y!3))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(Y!3), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(Y!3), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(Y!3), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(Y!3), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(Y!3), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(Y!3), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~r1(Y!3, tptp_fun_Y_18(Y!3))) | (~r1(tptp_fun_X_16(Y!3), tptp_fun_Y_17(Y!3))) | (~(p2(tptp_fun_Y_18(Y!3)) | p3(tptp_fun_Y_18(Y!3)))) | (~((~p2(tptp_fun_Y_18(Y!3))) | (~p3(tptp_fun_Y_18(Y!3))))) | (~(p1(tptp_fun_Y_18(Y!3)) | p2(tptp_fun_Y_18(Y!3))))))),
% 5.73/3.82 inference(modus_ponens,[status(thm)],[42, 41])).
% 5.73/3.82 tff(44,plain,
% 5.73/3.82 (~((~((~p5(tptp_fun_Y_18(Y!3))) | (~p6(tptp_fun_Y_18(Y!3))))) | (~(p13(tptp_fun_Y_18(Y!3)) | p14(tptp_fun_Y_18(Y!3)))) | (~((~p8(tptp_fun_Y_18(Y!3))) | (~p9(tptp_fun_Y_18(Y!3))))) | (~(p8(tptp_fun_Y_18(Y!3)) | p9(tptp_fun_Y_18(Y!3)))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(Y!3), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~((~p10(tptp_fun_Y_18(Y!3))) | (~p11(tptp_fun_Y_18(Y!3))))) | (~(p6(tptp_fun_Y_18(Y!3)) | p7(tptp_fun_Y_18(Y!3)))) | (~((~p3(tptp_fun_Y_18(Y!3))) | (~p4(tptp_fun_Y_18(Y!3))))) | (~((~p10(tptp_fun_Y_18(Y!3))) | (~p9(tptp_fun_Y_18(Y!3))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(Y!3), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~(p5(tptp_fun_Y_18(Y!3)) | p6(tptp_fun_Y_18(Y!3)))) | (~((~p6(tptp_fun_Y_18(Y!3))) | (~p7(tptp_fun_Y_18(Y!3))))) | (~(p10(tptp_fun_Y_18(Y!3)) | p9(tptp_fun_Y_18(Y!3)))) | (~(p11(tptp_fun_Y_18(Y!3)) | p12(tptp_fun_Y_18(Y!3)))) | (~((~p12(tptp_fun_Y_18(Y!3))) | (~p13(tptp_fun_Y_18(Y!3))))) | (~(p10(tptp_fun_Y_18(Y!3)) | p11(tptp_fun_Y_18(Y!3)))) | (~((~p13(tptp_fun_Y_18(Y!3))) | (~p14(tptp_fun_Y_18(Y!3))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(Y!3), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))) | (~(p12(tptp_fun_Y_18(Y!3)) | p13(tptp_fun_Y_18(Y!3)))) | (~((~p7(tptp_fun_Y_18(Y!3))) | (~p8(tptp_fun_Y_18(Y!3))))) | (~((~p4(tptp_fun_Y_18(Y!3))) | (~p5(tptp_fun_Y_18(Y!3))))) | (~(p4(tptp_fun_Y_18(Y!3)) | p5(tptp_fun_Y_18(Y!3)))) | (~(p7(tptp_fun_Y_18(Y!3)) | p8(tptp_fun_Y_18(Y!3)))) | (~![Y: $i] : ((~r1(Y!3, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(Y!3), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(Y!3), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~((~p11(tptp_fun_Y_18(Y!3))) | (~p12(tptp_fun_Y_18(Y!3))))) | (~(p3(tptp_fun_Y_18(Y!3)) | p4(tptp_fun_Y_18(Y!3)))) | (~r1(tptp_fun_Y_9(Y!3), tptp_fun_X_10(Y!3))) | (~r1(tptp_fun_X_10(Y!3), tptp_fun_Y_11(Y!3))) | (~r1(tptp_fun_X_14(Y!3), tptp_fun_Y_15(Y!3))) | (~r1(tptp_fun_Y_15(Y!3), tptp_fun_X_16(Y!3))) | (~((~p1(tptp_fun_Y_18(Y!3))) | (~p2(tptp_fun_Y_18(Y!3))))) | (~r1(tptp_fun_X_12(Y!3), tptp_fun_Y_13(Y!3))) | (~r1(tptp_fun_Y_13(Y!3), tptp_fun_X_14(Y!3))) | (~r1(Y!3, tptp_fun_Y_5(Y!3))) | (~r1(tptp_fun_Y_11(Y!3), tptp_fun_X_12(Y!3))) | (~r1(tptp_fun_X_6(Y!3), tptp_fun_Y_7(Y!3))) | (~r1(tptp_fun_Y_7(Y!3), tptp_fun_X_8(Y!3))) | (~r1(tptp_fun_X_8(Y!3), tptp_fun_Y_9(Y!3))) | (~r1(tptp_fun_Y_5(Y!3), tptp_fun_X_6(Y!3))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(Y!3), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | p15(tptp_fun_Y_4(Y!3)) | (~r1(Y!3, tptp_fun_Y_4(Y!3))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(Y!3), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(Y!3), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(Y!3), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(Y!3), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(Y!3), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(Y!3), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~r1(Y!3, tptp_fun_Y_18(Y!3))) | (~r1(tptp_fun_X_16(Y!3), tptp_fun_Y_17(Y!3))) | (~(p2(tptp_fun_Y_18(Y!3)) | p3(tptp_fun_Y_18(Y!3)))) | (~((~p2(tptp_fun_Y_18(Y!3))) | (~p3(tptp_fun_Y_18(Y!3))))) | (~(p1(tptp_fun_Y_18(Y!3)) | p2(tptp_fun_Y_18(Y!3)))))),
% 5.73/3.82 inference(unit_resolution,[status(thm)],[43, 37, 10])).
% 5.73/3.82 tff(45,plain,
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% 5.73/3.82 inference(tautology,[status(thm)],[])).
% 5.73/3.82 tff(46,plain,
% 5.73/3.82 (r1(Y!3, tptp_fun_Y_5(Y!3))),
% 5.73/3.82 inference(unit_resolution,[status(thm)],[45, 44])).
% 5.73/3.82 tff(47,plain,
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(~((~p10(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))) | (~p9(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))))) | (~(p9(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))) | p10(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))))) | (~((~p10(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))) | (~p11(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))))) | (~(p10(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))) | p11(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))))) | (~((~p11(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))) | (~p12(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))))) | (~(p11(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))) | p12(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))))) | (~((~p12(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))) | (~p13(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))))) | (~(p12(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))) | p13(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))))) | (~((~p13(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))) | (~p14(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))))) | (~(p13(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))) | p14(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))))) | (~![Y: $i] : ((~r1(tptp_fun_Y_5(Y!3), Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(tptp_fun_Y_5(Y!3)), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(tptp_fun_Y_5(Y!3)), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(tptp_fun_Y_5(Y!3)), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(tptp_fun_Y_5(Y!3)), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(tptp_fun_Y_5(Y!3)), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(tptp_fun_Y_5(Y!3)), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_Y_5(Y!3)), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(tptp_fun_Y_5(Y!3)), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(tptp_fun_Y_5(Y!3)), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(tptp_fun_Y_5(Y!3)), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_5(Y!3)), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(tptp_fun_Y_5(Y!3)), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))))))) <=> ((~![X: $i] : ((~r1(Y!3, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_5(X))) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~r1(tptp_fun_X_6(X), tptp_fun_Y_7(X))) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~r1(tptp_fun_X_8(X), tptp_fun_Y_9(X))) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))) | (~r1(tptp_fun_X_10(X), tptp_fun_Y_11(X))) | (~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | (~r1(tptp_fun_X_12(X), tptp_fun_Y_13(X))) | (~r1(tptp_fun_Y_13(X), tptp_fun_X_14(X))) | (~r1(tptp_fun_X_14(X), tptp_fun_Y_15(X))) | (~r1(tptp_fun_Y_15(X), tptp_fun_X_16(X))) | (~r1(tptp_fun_X_16(X), tptp_fun_Y_17(X))) | (~r1(X, tptp_fun_Y_18(X))) | (~((~p1(tptp_fun_Y_18(X))) | (~p2(tptp_fun_Y_18(X))))) | (~(p1(tptp_fun_Y_18(X)) | p2(tptp_fun_Y_18(X)))) | (~((~p2(tptp_fun_Y_18(X))) | (~p3(tptp_fun_Y_18(X))))) | (~(p2(tptp_fun_Y_18(X)) | p3(tptp_fun_Y_18(X)))) | (~((~p3(tptp_fun_Y_18(X))) | (~p4(tptp_fun_Y_18(X))))) | (~(p3(tptp_fun_Y_18(X)) | p4(tptp_fun_Y_18(X)))) | (~((~p4(tptp_fun_Y_18(X))) | (~p5(tptp_fun_Y_18(X))))) | (~(p4(tptp_fun_Y_18(X)) | p5(tptp_fun_Y_18(X)))) | (~((~p5(tptp_fun_Y_18(X))) | (~p6(tptp_fun_Y_18(X))))) | (~(p5(tptp_fun_Y_18(X)) | p6(tptp_fun_Y_18(X)))) | (~((~p6(tptp_fun_Y_18(X))) | (~p7(tptp_fun_Y_18(X))))) | (~(p6(tptp_fun_Y_18(X)) | p7(tptp_fun_Y_18(X)))) | (~((~p7(tptp_fun_Y_18(X))) | (~p8(tptp_fun_Y_18(X))))) | (~(p7(tptp_fun_Y_18(X)) | p8(tptp_fun_Y_18(X)))) | (~((~p8(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p8(tptp_fun_Y_18(X)) | p9(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p9(tptp_fun_Y_18(X)) | p10(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p11(tptp_fun_Y_18(X))))) | (~(p10(tptp_fun_Y_18(X)) | p11(tptp_fun_Y_18(X)))) | (~((~p11(tptp_fun_Y_18(X))) | (~p12(tptp_fun_Y_18(X))))) | (~(p11(tptp_fun_Y_18(X)) | p12(tptp_fun_Y_18(X)))) | (~((~p12(tptp_fun_Y_18(X))) | (~p13(tptp_fun_Y_18(X))))) | (~(p12(tptp_fun_Y_18(X)) | p13(tptp_fun_Y_18(X)))) | (~((~p13(tptp_fun_Y_18(X))) | (~p14(tptp_fun_Y_18(X))))) | (~(p13(tptp_fun_Y_18(X)) | p14(tptp_fun_Y_18(X)))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))))))) | (~r1(Y!3, tptp_fun_Y_5(Y!3))) | (~((~r1(tptp_fun_Y_5(Y!3), tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p15(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))) | (~r1(tptp_fun_Y_5(Y!3), tptp_fun_Y_5(tptp_fun_Y_5(Y!3)))) | (~r1(tptp_fun_Y_5(tptp_fun_Y_5(Y!3)), tptp_fun_X_6(tptp_fun_Y_5(Y!3)))) | (~r1(tptp_fun_X_6(tptp_fun_Y_5(Y!3)), tptp_fun_Y_7(tptp_fun_Y_5(Y!3)))) | (~r1(tptp_fun_Y_7(tptp_fun_Y_5(Y!3)), tptp_fun_X_8(tptp_fun_Y_5(Y!3)))) | (~r1(tptp_fun_X_8(tptp_fun_Y_5(Y!3)), tptp_fun_Y_9(tptp_fun_Y_5(Y!3)))) | (~r1(tptp_fun_Y_9(tptp_fun_Y_5(Y!3)), tptp_fun_X_10(tptp_fun_Y_5(Y!3)))) | (~r1(tptp_fun_X_10(tptp_fun_Y_5(Y!3)), tptp_fun_Y_11(tptp_fun_Y_5(Y!3)))) | (~r1(tptp_fun_Y_11(tptp_fun_Y_5(Y!3)), tptp_fun_X_12(tptp_fun_Y_5(Y!3)))) | (~r1(tptp_fun_X_12(tptp_fun_Y_5(Y!3)), tptp_fun_Y_13(tptp_fun_Y_5(Y!3)))) | (~r1(tptp_fun_Y_13(tptp_fun_Y_5(Y!3)), tptp_fun_X_14(tptp_fun_Y_5(Y!3)))) | (~r1(tptp_fun_X_14(tptp_fun_Y_5(Y!3)), tptp_fun_Y_15(tptp_fun_Y_5(Y!3)))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_5(Y!3)), tptp_fun_X_16(tptp_fun_Y_5(Y!3)))) | (~r1(tptp_fun_X_16(tptp_fun_Y_5(Y!3)), tptp_fun_Y_17(tptp_fun_Y_5(Y!3)))) | (~r1(tptp_fun_Y_5(Y!3), tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))) | (~((~p1(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))) | (~p2(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))))) | (~(p1(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))) | p2(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))))) | (~((~p2(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))) | (~p3(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))))) | (~(p2(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))) | p3(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))))) | (~((~p3(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))) | (~p4(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))))) | (~(p3(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))) | p4(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))))) | (~((~p4(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))) | (~p5(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))))) | (~(p4(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))) | p5(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))))) | (~((~p5(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))) | (~p6(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))))) | (~(p5(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))) | p6(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))))) | (~((~p6(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))) | (~p7(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))))) | (~(p6(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))) | p7(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))))) | (~((~p7(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))) | (~p8(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))))) | (~(p7(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))) | p8(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))))) | (~((~p8(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))) | (~p9(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))))) | (~(p8(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))) | p9(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))))) | (~((~p10(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))) | (~p9(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))))) | (~(p9(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))) | p10(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))))) | (~((~p10(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))) | (~p11(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))))) | (~(p10(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))) | p11(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))))) | (~((~p11(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))) | (~p12(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))))) | (~(p11(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))) | p12(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))))) | (~((~p12(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))) | (~p13(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))))) | (~(p12(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))) | p13(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))))) | (~((~p13(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))) | (~p14(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))))) | (~(p13(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))) | p14(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))))) | (~![Y: $i] : ((~r1(tptp_fun_Y_5(Y!3), Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(tptp_fun_Y_5(Y!3)), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(tptp_fun_Y_5(Y!3)), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(tptp_fun_Y_5(Y!3)), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(tptp_fun_Y_5(Y!3)), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(tptp_fun_Y_5(Y!3)), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(tptp_fun_Y_5(Y!3)), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_Y_5(Y!3)), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(tptp_fun_Y_5(Y!3)), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(tptp_fun_Y_5(Y!3)), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(tptp_fun_Y_5(Y!3)), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_5(Y!3)), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(tptp_fun_Y_5(Y!3)), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))))))),
% 5.73/3.83 inference(rewrite,[status(thm)],[])).
% 5.73/3.83 tff(48,plain,
% 5.73/3.83 ((~![X: $i] : ((~r1(Y!3, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_5(X))) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~r1(tptp_fun_X_6(X), tptp_fun_Y_7(X))) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~r1(tptp_fun_X_8(X), tptp_fun_Y_9(X))) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))) | (~r1(tptp_fun_X_10(X), tptp_fun_Y_11(X))) | (~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | (~r1(tptp_fun_X_12(X), tptp_fun_Y_13(X))) | (~r1(tptp_fun_Y_13(X), tptp_fun_X_14(X))) | (~r1(tptp_fun_X_14(X), tptp_fun_Y_15(X))) | (~r1(tptp_fun_Y_15(X), tptp_fun_X_16(X))) | (~r1(tptp_fun_X_16(X), tptp_fun_Y_17(X))) | (~r1(X, tptp_fun_Y_18(X))) | (~((~p1(tptp_fun_Y_18(X))) | (~p2(tptp_fun_Y_18(X))))) | (~(p1(tptp_fun_Y_18(X)) | p2(tptp_fun_Y_18(X)))) | (~((~p2(tptp_fun_Y_18(X))) | (~p3(tptp_fun_Y_18(X))))) | (~(p2(tptp_fun_Y_18(X)) | p3(tptp_fun_Y_18(X)))) | (~((~p3(tptp_fun_Y_18(X))) | (~p4(tptp_fun_Y_18(X))))) | (~(p3(tptp_fun_Y_18(X)) | p4(tptp_fun_Y_18(X)))) | 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((~r1(tptp_fun_Y_5(tptp_fun_Y_5(Y!3)), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(tptp_fun_Y_5(Y!3)), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(tptp_fun_Y_5(Y!3)), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(tptp_fun_Y_5(Y!3)), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(tptp_fun_Y_5(Y!3)), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(tptp_fun_Y_5(Y!3)), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_Y_5(Y!3)), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(tptp_fun_Y_5(Y!3)), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(tptp_fun_Y_5(Y!3)), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(tptp_fun_Y_5(Y!3)), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_5(Y!3)), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(tptp_fun_Y_5(Y!3)), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))))))),
% 5.73/3.83 inference(quant_inst,[status(thm)],[])).
% 5.73/3.83 tff(49,plain,
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(~((~p13(tptp_fun_Y_18(X))) | (~p14(tptp_fun_Y_18(X))))) | (~(p13(tptp_fun_Y_18(X)) | p14(tptp_fun_Y_18(X)))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))))))) | (~r1(Y!3, tptp_fun_Y_5(Y!3))) | (~((~r1(tptp_fun_Y_5(Y!3), tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p15(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))) | (~r1(tptp_fun_Y_5(Y!3), tptp_fun_Y_5(tptp_fun_Y_5(Y!3)))) | (~r1(tptp_fun_Y_5(tptp_fun_Y_5(Y!3)), tptp_fun_X_6(tptp_fun_Y_5(Y!3)))) | (~r1(tptp_fun_X_6(tptp_fun_Y_5(Y!3)), tptp_fun_Y_7(tptp_fun_Y_5(Y!3)))) | (~r1(tptp_fun_Y_7(tptp_fun_Y_5(Y!3)), tptp_fun_X_8(tptp_fun_Y_5(Y!3)))) | (~r1(tptp_fun_X_8(tptp_fun_Y_5(Y!3)), tptp_fun_Y_9(tptp_fun_Y_5(Y!3)))) | (~r1(tptp_fun_Y_9(tptp_fun_Y_5(Y!3)), tptp_fun_X_10(tptp_fun_Y_5(Y!3)))) | (~r1(tptp_fun_X_10(tptp_fun_Y_5(Y!3)), tptp_fun_Y_11(tptp_fun_Y_5(Y!3)))) | (~r1(tptp_fun_Y_11(tptp_fun_Y_5(Y!3)), tptp_fun_X_12(tptp_fun_Y_5(Y!3)))) | (~r1(tptp_fun_X_12(tptp_fun_Y_5(Y!3)), tptp_fun_Y_13(tptp_fun_Y_5(Y!3)))) | (~r1(tptp_fun_Y_13(tptp_fun_Y_5(Y!3)), tptp_fun_X_14(tptp_fun_Y_5(Y!3)))) | (~r1(tptp_fun_X_14(tptp_fun_Y_5(Y!3)), tptp_fun_Y_15(tptp_fun_Y_5(Y!3)))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_5(Y!3)), tptp_fun_X_16(tptp_fun_Y_5(Y!3)))) | (~r1(tptp_fun_X_16(tptp_fun_Y_5(Y!3)), tptp_fun_Y_17(tptp_fun_Y_5(Y!3)))) | (~r1(tptp_fun_Y_5(Y!3), tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))) | (~((~p1(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))) | (~p2(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))))) | (~(p1(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))) | p2(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))))) | (~((~p2(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))) | (~p3(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))))) | (~(p2(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))) | p3(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))))) | (~((~p3(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))) | (~p4(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))))) | (~(p3(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))) | p4(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))))) | (~((~p4(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))) | (~p5(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))))) | (~(p4(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))) | p5(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))))) | (~((~p5(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))) | (~p6(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))))) | (~(p5(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))) | p6(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))))) | (~((~p6(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))) | (~p7(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))))) | (~(p6(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))) | p7(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))))) | (~((~p7(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))) | (~p8(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))))) | (~(p7(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))) | p8(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))))) | (~((~p8(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))) | (~p9(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))))) | (~(p8(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))) | p9(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))))) | (~((~p10(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))) | (~p9(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))))) | (~(p9(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))) | p10(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))))) | (~((~p10(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))) | (~p11(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))))) | (~(p10(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))) | p11(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))))) | (~((~p11(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))) | (~p12(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))))) | (~(p11(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))) | p12(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))))) | (~((~p12(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))) | (~p13(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))))) | (~(p12(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))) | p13(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))))) | (~((~p13(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))) | (~p14(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))))) | (~(p13(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))) | p14(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))))) | (~![Y: $i] : ((~r1(tptp_fun_Y_5(Y!3), Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(tptp_fun_Y_5(Y!3)), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(tptp_fun_Y_5(Y!3)), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(tptp_fun_Y_5(Y!3)), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(tptp_fun_Y_5(Y!3)), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(tptp_fun_Y_5(Y!3)), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(tptp_fun_Y_5(Y!3)), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_Y_5(Y!3)), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(tptp_fun_Y_5(Y!3)), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(tptp_fun_Y_5(Y!3)), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(tptp_fun_Y_5(Y!3)), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_5(Y!3)), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(tptp_fun_Y_5(Y!3)), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y))))))))))),
% 5.73/3.84 inference(modus_ponens,[status(thm)],[48, 47])).
% 5.73/3.84 tff(50,plain,
% 5.73/3.84 (~((~r1(tptp_fun_Y_5(Y!3), tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p15(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))) | (~r1(tptp_fun_Y_5(Y!3), tptp_fun_Y_5(tptp_fun_Y_5(Y!3)))) | (~r1(tptp_fun_Y_5(tptp_fun_Y_5(Y!3)), tptp_fun_X_6(tptp_fun_Y_5(Y!3)))) | (~r1(tptp_fun_X_6(tptp_fun_Y_5(Y!3)), tptp_fun_Y_7(tptp_fun_Y_5(Y!3)))) | (~r1(tptp_fun_Y_7(tptp_fun_Y_5(Y!3)), tptp_fun_X_8(tptp_fun_Y_5(Y!3)))) | (~r1(tptp_fun_X_8(tptp_fun_Y_5(Y!3)), tptp_fun_Y_9(tptp_fun_Y_5(Y!3)))) | (~r1(tptp_fun_Y_9(tptp_fun_Y_5(Y!3)), tptp_fun_X_10(tptp_fun_Y_5(Y!3)))) | (~r1(tptp_fun_X_10(tptp_fun_Y_5(Y!3)), tptp_fun_Y_11(tptp_fun_Y_5(Y!3)))) | (~r1(tptp_fun_Y_11(tptp_fun_Y_5(Y!3)), tptp_fun_X_12(tptp_fun_Y_5(Y!3)))) | (~r1(tptp_fun_X_12(tptp_fun_Y_5(Y!3)), tptp_fun_Y_13(tptp_fun_Y_5(Y!3)))) | (~r1(tptp_fun_Y_13(tptp_fun_Y_5(Y!3)), tptp_fun_X_14(tptp_fun_Y_5(Y!3)))) | (~r1(tptp_fun_X_14(tptp_fun_Y_5(Y!3)), tptp_fun_Y_15(tptp_fun_Y_5(Y!3)))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_5(Y!3)), tptp_fun_X_16(tptp_fun_Y_5(Y!3)))) | (~r1(tptp_fun_X_16(tptp_fun_Y_5(Y!3)), tptp_fun_Y_17(tptp_fun_Y_5(Y!3)))) | (~r1(tptp_fun_Y_5(Y!3), tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))) | (~((~p1(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))) | (~p2(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))))) | (~(p1(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))) | p2(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))))) | (~((~p2(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))) | (~p3(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))))) | (~(p2(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))) | p3(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))))) | (~((~p3(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))) | (~p4(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))))) | (~(p3(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))) | p4(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))))) | (~((~p4(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))) | (~p5(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))))) | (~(p4(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))) | p5(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))))) | (~((~p5(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))) | (~p6(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))))) | (~(p5(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))) | p6(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))))) | (~((~p6(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))) | (~p7(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))))) | (~(p6(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))) | p7(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))))) | (~((~p7(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))) | (~p8(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))))) | (~(p7(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))) | p8(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))))) | (~((~p8(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))) | (~p9(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))))) | (~(p8(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))) | p9(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))))) | (~((~p10(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))) | (~p9(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))))) | (~(p9(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))) | p10(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))))) | (~((~p10(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))) | (~p11(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))))) | (~(p10(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))) | p11(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))))) | (~((~p11(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))) | (~p12(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))))) | (~(p11(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))) | p12(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))))) | (~((~p12(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))) | (~p13(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))))) | (~(p12(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))) | p13(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))))) | (~((~p13(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))) | (~p14(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))))) | (~(p13(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))) | p14(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))))) | (~![Y: $i] : ((~r1(tptp_fun_Y_5(Y!3), Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(tptp_fun_Y_5(Y!3)), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(tptp_fun_Y_5(Y!3)), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(tptp_fun_Y_5(Y!3)), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(tptp_fun_Y_5(Y!3)), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(tptp_fun_Y_5(Y!3)), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(tptp_fun_Y_5(Y!3)), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_Y_5(Y!3)), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(tptp_fun_Y_5(Y!3)), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(tptp_fun_Y_5(Y!3)), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(tptp_fun_Y_5(Y!3)), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_5(Y!3)), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(tptp_fun_Y_5(Y!3)), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))))),
% 5.73/3.84 inference(unit_resolution,[status(thm)],[49, 37, 46])).
% 5.73/3.84 tff(51,plain,
% 5.73/3.84 (((~r1(tptp_fun_Y_5(Y!3), tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p15(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))) | (~r1(tptp_fun_Y_5(Y!3), tptp_fun_Y_5(tptp_fun_Y_5(Y!3)))) | (~r1(tptp_fun_Y_5(tptp_fun_Y_5(Y!3)), tptp_fun_X_6(tptp_fun_Y_5(Y!3)))) | (~r1(tptp_fun_X_6(tptp_fun_Y_5(Y!3)), tptp_fun_Y_7(tptp_fun_Y_5(Y!3)))) | (~r1(tptp_fun_Y_7(tptp_fun_Y_5(Y!3)), tptp_fun_X_8(tptp_fun_Y_5(Y!3)))) | (~r1(tptp_fun_X_8(tptp_fun_Y_5(Y!3)), tptp_fun_Y_9(tptp_fun_Y_5(Y!3)))) | (~r1(tptp_fun_Y_9(tptp_fun_Y_5(Y!3)), tptp_fun_X_10(tptp_fun_Y_5(Y!3)))) | (~r1(tptp_fun_X_10(tptp_fun_Y_5(Y!3)), tptp_fun_Y_11(tptp_fun_Y_5(Y!3)))) | (~r1(tptp_fun_Y_11(tptp_fun_Y_5(Y!3)), tptp_fun_X_12(tptp_fun_Y_5(Y!3)))) | (~r1(tptp_fun_X_12(tptp_fun_Y_5(Y!3)), tptp_fun_Y_13(tptp_fun_Y_5(Y!3)))) | (~r1(tptp_fun_Y_13(tptp_fun_Y_5(Y!3)), tptp_fun_X_14(tptp_fun_Y_5(Y!3)))) | (~r1(tptp_fun_X_14(tptp_fun_Y_5(Y!3)), tptp_fun_Y_15(tptp_fun_Y_5(Y!3)))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_5(Y!3)), tptp_fun_X_16(tptp_fun_Y_5(Y!3)))) | (~r1(tptp_fun_X_16(tptp_fun_Y_5(Y!3)), tptp_fun_Y_17(tptp_fun_Y_5(Y!3)))) | (~r1(tptp_fun_Y_5(Y!3), tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))) | (~((~p1(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))) | (~p2(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))))) | (~(p1(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))) | p2(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))))) | (~((~p2(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))) | (~p3(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))))) | (~(p2(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))) | p3(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))))) | (~((~p3(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))) | (~p4(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))))) | (~(p3(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))) | p4(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))))) | (~((~p4(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))) | (~p5(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))))) | (~(p4(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))) | p5(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))))) | (~((~p5(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))) | (~p6(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))))) | (~(p5(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))) | p6(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))))) | (~((~p6(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))) | (~p7(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))))) | (~(p6(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))) | p7(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))))) | (~((~p7(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))) | (~p8(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))))) | (~(p7(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))) | p8(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))))) | (~((~p8(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))) | (~p9(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))))) | (~(p8(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))) | p9(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))))) | (~((~p10(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))) | (~p9(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))))) | (~(p9(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))) | p10(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))))) | (~((~p10(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))) | (~p11(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))))) | (~(p10(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))) | p11(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))))) | (~((~p11(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))) | (~p12(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))))) | (~(p11(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))) | p12(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))))) | (~((~p12(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))) | (~p13(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))))) | (~(p12(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))) | p13(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))))) | (~((~p13(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))) | (~p14(tptp_fun_Y_18(tptp_fun_Y_5(Y!3)))))) | (~(p13(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))) | p14(tptp_fun_Y_18(tptp_fun_Y_5(Y!3))))) | (~![Y: $i] : ((~r1(tptp_fun_Y_5(Y!3), Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(tptp_fun_Y_5(Y!3)), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(tptp_fun_Y_5(Y!3)), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(tptp_fun_Y_5(Y!3)), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(tptp_fun_Y_5(Y!3)), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(tptp_fun_Y_5(Y!3)), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(tptp_fun_Y_5(Y!3)), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_Y_5(Y!3)), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(tptp_fun_Y_5(Y!3)), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(tptp_fun_Y_5(Y!3)), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(tptp_fun_Y_5(Y!3)), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_5(Y!3)), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(tptp_fun_Y_5(Y!3)), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y))))))))) | r1(tptp_fun_Y_5(Y!3), tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))),
% 5.73/3.84 inference(tautology,[status(thm)],[])).
% 5.73/3.84 tff(52,plain,
% 5.73/3.84 (r1(tptp_fun_Y_5(Y!3), tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))),
% 5.73/3.84 inference(unit_resolution,[status(thm)],[51, 50])).
% 5.73/3.84 tff(53,plain,
% 5.73/3.84 (![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y))) <=> ![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))),
% 5.73/3.84 inference(rewrite,[status(thm)],[])).
% 5.73/3.84 tff(54,plain,
% 5.73/3.84 (^[X: $i, Y: $i, Z: $i] : trans(monotonicity(trans(monotonicity(rewrite((r1(X, Y) & r1(Y, Z)) <=> (~((~r1(Y, Z)) | (~r1(X, Y))))), ((~(r1(X, Y) & r1(Y, Z))) <=> (~(~((~r1(Y, Z)) | (~r1(X, Y))))))), rewrite((~(~((~r1(Y, Z)) | (~r1(X, Y))))) <=> ((~r1(Y, Z)) | (~r1(X, Y)))), ((~(r1(X, Y) & r1(Y, Z))) <=> ((~r1(Y, Z)) | (~r1(X, Y))))), (((~(r1(X, Y) & r1(Y, Z))) | r1(X, Z)) <=> (((~r1(Y, Z)) | (~r1(X, Y))) | r1(X, Z)))), rewrite((((~r1(Y, Z)) | (~r1(X, Y))) | r1(X, Z)) <=> (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))), (((~(r1(X, Y) & r1(Y, Z))) | r1(X, Z)) <=> (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))))),
% 5.73/3.84 inference(bind,[status(th)],[])).
% 5.73/3.84 tff(55,plain,
% 5.73/3.84 (![X: $i, Y: $i, Z: $i] : ((~(r1(X, Y) & r1(Y, Z))) | r1(X, Z)) <=> ![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))),
% 5.73/3.84 inference(quant_intro,[status(thm)],[54])).
% 5.73/3.84 tff(56,plain,
% 5.73/3.84 (![X: $i, Y: $i, Z: $i] : ((~(r1(X, Y) & r1(Y, Z))) | r1(X, Z)) <=> ![X: $i, Y: $i, Z: $i] : ((~(r1(X, Y) & r1(Y, Z))) | r1(X, Z))),
% 5.73/3.84 inference(rewrite,[status(thm)],[])).
% 5.73/3.84 tff(57,plain,
% 5.73/3.84 (^[X: $i, Y: $i, Z: $i] : rewrite(((r1(X, Y) & r1(Y, Z)) => r1(X, Z)) <=> ((~(r1(X, Y) & r1(Y, Z))) | r1(X, Z)))),
% 5.73/3.85 inference(bind,[status(th)],[])).
% 5.73/3.85 tff(58,plain,
% 5.73/3.85 (![X: $i, Y: $i, Z: $i] : ((r1(X, Y) & r1(Y, Z)) => r1(X, Z)) <=> ![X: $i, Y: $i, Z: $i] : ((~(r1(X, Y) & r1(Y, Z))) | r1(X, Z))),
% 5.73/3.85 inference(quant_intro,[status(thm)],[57])).
% 5.73/3.85 tff(59,axiom,(![X: $i, Y: $i, Z: $i] : ((r1(X, Y) & r1(Y, Z)) => r1(X, Z))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','transitivity')).
% 5.73/3.85 tff(60,plain,
% 5.73/3.85 (![X: $i, Y: $i, Z: $i] : ((~(r1(X, Y) & r1(Y, Z))) | r1(X, Z))),
% 5.73/3.85 inference(modus_ponens,[status(thm)],[59, 58])).
% 5.73/3.85 tff(61,plain,
% 5.73/3.85 (![X: $i, Y: $i, Z: $i] : ((~(r1(X, Y) & r1(Y, Z))) | r1(X, Z))),
% 5.73/3.85 inference(modus_ponens,[status(thm)],[60, 56])).
% 5.73/3.85 tff(62,plain,(
% 5.73/3.85 ![X: $i, Y: $i, Z: $i] : ((~(r1(X, Y) & r1(Y, Z))) | r1(X, Z))),
% 5.73/3.85 inference(skolemize,[status(sab)],[61])).
% 5.73/3.85 tff(63,plain,
% 5.73/3.85 (![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))),
% 5.73/3.85 inference(modus_ponens,[status(thm)],[62, 55])).
% 5.73/3.85 tff(64,plain,
% 5.73/3.85 (![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))),
% 5.73/3.85 inference(modus_ponens,[status(thm)],[63, 53])).
% 5.73/3.85 tff(65,plain,
% 5.73/3.85 (((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | ((~r1(Y!3, tptp_fun_Y_5(Y!3))) | (~r1(tptp_fun_Y_5(Y!3), tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | r1(Y!3, tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) <=> ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (~r1(Y!3, tptp_fun_Y_5(Y!3))) | (~r1(tptp_fun_Y_5(Y!3), tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | r1(Y!3, tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))),
% 5.73/3.85 inference(rewrite,[status(thm)],[])).
% 5.73/3.85 tff(66,plain,
% 5.73/3.85 ((r1(Y!3, tptp_fun_Y_4(tptp_fun_Y_5(Y!3))) | (~r1(tptp_fun_Y_5(Y!3), tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | (~r1(Y!3, tptp_fun_Y_5(Y!3)))) <=> ((~r1(Y!3, tptp_fun_Y_5(Y!3))) | (~r1(tptp_fun_Y_5(Y!3), tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | r1(Y!3, tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))),
% 5.73/3.85 inference(rewrite,[status(thm)],[])).
% 5.73/3.85 tff(67,plain,
% 5.73/3.85 (((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (r1(Y!3, tptp_fun_Y_4(tptp_fun_Y_5(Y!3))) | (~r1(tptp_fun_Y_5(Y!3), tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | (~r1(Y!3, tptp_fun_Y_5(Y!3))))) <=> ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | ((~r1(Y!3, tptp_fun_Y_5(Y!3))) | (~r1(tptp_fun_Y_5(Y!3), tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | r1(Y!3, tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))),
% 5.73/3.85 inference(monotonicity,[status(thm)],[66])).
% 5.73/3.85 tff(68,plain,
% 5.73/3.85 (((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (r1(Y!3, tptp_fun_Y_4(tptp_fun_Y_5(Y!3))) | (~r1(tptp_fun_Y_5(Y!3), tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | (~r1(Y!3, tptp_fun_Y_5(Y!3))))) <=> ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (~r1(Y!3, tptp_fun_Y_5(Y!3))) | (~r1(tptp_fun_Y_5(Y!3), tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | r1(Y!3, tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))),
% 5.73/3.85 inference(transitivity,[status(thm)],[67, 65])).
% 5.73/3.85 tff(69,plain,
% 5.73/3.85 ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (r1(Y!3, tptp_fun_Y_4(tptp_fun_Y_5(Y!3))) | (~r1(tptp_fun_Y_5(Y!3), tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | (~r1(Y!3, tptp_fun_Y_5(Y!3))))),
% 5.73/3.85 inference(quant_inst,[status(thm)],[])).
% 5.73/3.85 tff(70,plain,
% 5.73/3.85 ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (~r1(Y!3, tptp_fun_Y_5(Y!3))) | (~r1(tptp_fun_Y_5(Y!3), tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | r1(Y!3, tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))),
% 5.73/3.85 inference(modus_ponens,[status(thm)],[69, 68])).
% 5.73/3.85 tff(71,plain,
% 5.73/3.85 (r1(Y!3, tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))),
% 5.73/3.85 inference(unit_resolution,[status(thm)],[70, 64, 46, 52])).
% 5.73/3.85 tff(72,plain,
% 5.73/3.85 (((~![X: $i] : ((~r1(Y!3, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_5(X))) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~r1(tptp_fun_X_6(X), tptp_fun_Y_7(X))) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~r1(tptp_fun_X_8(X), tptp_fun_Y_9(X))) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))) | (~r1(tptp_fun_X_10(X), tptp_fun_Y_11(X))) | (~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | (~r1(tptp_fun_X_12(X), tptp_fun_Y_13(X))) | (~r1(tptp_fun_Y_13(X), tptp_fun_X_14(X))) | (~r1(tptp_fun_X_14(X), tptp_fun_Y_15(X))) | (~r1(tptp_fun_Y_15(X), tptp_fun_X_16(X))) | (~r1(tptp_fun_X_16(X), tptp_fun_Y_17(X))) | (~r1(X, tptp_fun_Y_18(X))) | (~((~p1(tptp_fun_Y_18(X))) | (~p2(tptp_fun_Y_18(X))))) | (~(p1(tptp_fun_Y_18(X)) | p2(tptp_fun_Y_18(X)))) | (~((~p2(tptp_fun_Y_18(X))) | (~p3(tptp_fun_Y_18(X))))) | (~(p2(tptp_fun_Y_18(X)) | p3(tptp_fun_Y_18(X)))) | (~((~p3(tptp_fun_Y_18(X))) | (~p4(tptp_fun_Y_18(X))))) | (~(p3(tptp_fun_Y_18(X)) | p4(tptp_fun_Y_18(X)))) | (~((~p4(tptp_fun_Y_18(X))) | (~p5(tptp_fun_Y_18(X))))) | (~(p4(tptp_fun_Y_18(X)) | p5(tptp_fun_Y_18(X)))) | (~((~p5(tptp_fun_Y_18(X))) | (~p6(tptp_fun_Y_18(X))))) | (~(p5(tptp_fun_Y_18(X)) | p6(tptp_fun_Y_18(X)))) | (~((~p6(tptp_fun_Y_18(X))) | (~p7(tptp_fun_Y_18(X))))) | (~(p6(tptp_fun_Y_18(X)) | p7(tptp_fun_Y_18(X)))) | (~((~p7(tptp_fun_Y_18(X))) | (~p8(tptp_fun_Y_18(X))))) | (~(p7(tptp_fun_Y_18(X)) | p8(tptp_fun_Y_18(X)))) | (~((~p8(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p8(tptp_fun_Y_18(X)) | p9(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p9(tptp_fun_Y_18(X)) | p10(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p11(tptp_fun_Y_18(X))))) | (~(p10(tptp_fun_Y_18(X)) | p11(tptp_fun_Y_18(X)))) | (~((~p11(tptp_fun_Y_18(X))) | (~p12(tptp_fun_Y_18(X))))) | (~(p11(tptp_fun_Y_18(X)) | p12(tptp_fun_Y_18(X)))) | (~((~p12(tptp_fun_Y_18(X))) | (~p13(tptp_fun_Y_18(X))))) | (~(p12(tptp_fun_Y_18(X)) | p13(tptp_fun_Y_18(X)))) | (~((~p13(tptp_fun_Y_18(X))) | (~p14(tptp_fun_Y_18(X))))) | (~(p13(tptp_fun_Y_18(X)) | p14(tptp_fun_Y_18(X)))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))))))) | ((~r1(Y!3, tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | (~((~r1(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)), tptp_fun_Y_4(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | p15(tptp_fun_Y_4(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | (~r1(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)), tptp_fun_Y_5(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_5(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_X_6(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_X_6(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_Y_7(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_7(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_X_8(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_X_8(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_Y_9(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_9(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_X_10(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_X_10(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_Y_11(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_11(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_X_12(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_X_12(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_Y_13(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_13(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_X_14(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_X_14(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_Y_15(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_X_16(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_X_16(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_Y_17(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)), tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~((~p1(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p1(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p3(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p3(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p3(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p4(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p3(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p4(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p4(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p5(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p4(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p5(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p5(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p6(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p5(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p6(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p6(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p7(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p6(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p7(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p7(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p8(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p7(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p8(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p8(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p9(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p8(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p9(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p10(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p9(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p9(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p10(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p10(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p11(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p10(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p11(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p11(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p12(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p11(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p12(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p12(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p13(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p12(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p13(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p13(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p14(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p13(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p14(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~![Y: $i] : ((~r1(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)), Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))))))) <=> ((~![X: $i] : ((~r1(Y!3, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_5(X))) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~r1(tptp_fun_X_6(X), tptp_fun_Y_7(X))) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~r1(tptp_fun_X_8(X), tptp_fun_Y_9(X))) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))) | (~r1(tptp_fun_X_10(X), tptp_fun_Y_11(X))) | (~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | (~r1(tptp_fun_X_12(X), tptp_fun_Y_13(X))) | (~r1(tptp_fun_Y_13(X), tptp_fun_X_14(X))) | (~r1(tptp_fun_X_14(X), tptp_fun_Y_15(X))) | (~r1(tptp_fun_Y_15(X), tptp_fun_X_16(X))) | (~r1(tptp_fun_X_16(X), tptp_fun_Y_17(X))) | (~r1(X, tptp_fun_Y_18(X))) | (~((~p1(tptp_fun_Y_18(X))) | (~p2(tptp_fun_Y_18(X))))) | (~(p1(tptp_fun_Y_18(X)) | p2(tptp_fun_Y_18(X)))) | (~((~p2(tptp_fun_Y_18(X))) | (~p3(tptp_fun_Y_18(X))))) | (~(p2(tptp_fun_Y_18(X)) | p3(tptp_fun_Y_18(X)))) | (~((~p3(tptp_fun_Y_18(X))) | (~p4(tptp_fun_Y_18(X))))) | (~(p3(tptp_fun_Y_18(X)) | p4(tptp_fun_Y_18(X)))) | (~((~p4(tptp_fun_Y_18(X))) | (~p5(tptp_fun_Y_18(X))))) | (~(p4(tptp_fun_Y_18(X)) | p5(tptp_fun_Y_18(X)))) | (~((~p5(tptp_fun_Y_18(X))) | (~p6(tptp_fun_Y_18(X))))) | (~(p5(tptp_fun_Y_18(X)) | p6(tptp_fun_Y_18(X)))) | (~((~p6(tptp_fun_Y_18(X))) | (~p7(tptp_fun_Y_18(X))))) | (~(p6(tptp_fun_Y_18(X)) | p7(tptp_fun_Y_18(X)))) | (~((~p7(tptp_fun_Y_18(X))) | (~p8(tptp_fun_Y_18(X))))) | (~(p7(tptp_fun_Y_18(X)) | p8(tptp_fun_Y_18(X)))) | (~((~p8(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p8(tptp_fun_Y_18(X)) | p9(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p9(tptp_fun_Y_18(X)) | p10(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p11(tptp_fun_Y_18(X))))) | (~(p10(tptp_fun_Y_18(X)) | p11(tptp_fun_Y_18(X)))) | (~((~p11(tptp_fun_Y_18(X))) | (~p12(tptp_fun_Y_18(X))))) | (~(p11(tptp_fun_Y_18(X)) | p12(tptp_fun_Y_18(X)))) | (~((~p12(tptp_fun_Y_18(X))) | (~p13(tptp_fun_Y_18(X))))) | (~(p12(tptp_fun_Y_18(X)) | p13(tptp_fun_Y_18(X)))) | (~((~p13(tptp_fun_Y_18(X))) | (~p14(tptp_fun_Y_18(X))))) | (~(p13(tptp_fun_Y_18(X)) | p14(tptp_fun_Y_18(X)))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))))))) | (~r1(Y!3, tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | (~((~r1(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)), tptp_fun_Y_4(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | p15(tptp_fun_Y_4(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | (~r1(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)), tptp_fun_Y_5(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_5(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_X_6(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_X_6(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_Y_7(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_7(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_X_8(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_X_8(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_Y_9(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_9(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_X_10(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_X_10(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_Y_11(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_11(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_X_12(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_X_12(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_Y_13(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_13(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_X_14(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_X_14(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_Y_15(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_X_16(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_X_16(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_Y_17(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)), tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~((~p1(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p1(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p3(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p3(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p3(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p4(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p3(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p4(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p4(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p5(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p4(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p5(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p5(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p6(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p5(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p6(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p6(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p7(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p6(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p7(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p7(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p8(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p7(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p8(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p8(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p9(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p8(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p9(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p10(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p9(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p9(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p10(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p10(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p11(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p10(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p11(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p11(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p12(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p11(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p12(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p12(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p13(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p12(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p13(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p13(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p14(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p13(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p14(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~![Y: $i] : ((~r1(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)), Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))))))),
% 5.73/3.86 inference(rewrite,[status(thm)],[])).
% 5.73/3.86 tff(73,plain,
% 5.73/3.86 ((~![X: $i] : ((~r1(Y!3, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_5(X))) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~r1(tptp_fun_X_6(X), tptp_fun_Y_7(X))) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~r1(tptp_fun_X_8(X), tptp_fun_Y_9(X))) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))) | (~r1(tptp_fun_X_10(X), tptp_fun_Y_11(X))) | (~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | (~r1(tptp_fun_X_12(X), tptp_fun_Y_13(X))) | (~r1(tptp_fun_Y_13(X), tptp_fun_X_14(X))) | (~r1(tptp_fun_X_14(X), tptp_fun_Y_15(X))) | (~r1(tptp_fun_Y_15(X), tptp_fun_X_16(X))) | (~r1(tptp_fun_X_16(X), tptp_fun_Y_17(X))) | (~r1(X, tptp_fun_Y_18(X))) | (~((~p1(tptp_fun_Y_18(X))) | (~p2(tptp_fun_Y_18(X))))) | (~(p1(tptp_fun_Y_18(X)) | p2(tptp_fun_Y_18(X)))) | (~((~p2(tptp_fun_Y_18(X))) | (~p3(tptp_fun_Y_18(X))))) | (~(p2(tptp_fun_Y_18(X)) | p3(tptp_fun_Y_18(X)))) | (~((~p3(tptp_fun_Y_18(X))) | (~p4(tptp_fun_Y_18(X))))) | (~(p3(tptp_fun_Y_18(X)) | p4(tptp_fun_Y_18(X)))) | (~((~p4(tptp_fun_Y_18(X))) | (~p5(tptp_fun_Y_18(X))))) | (~(p4(tptp_fun_Y_18(X)) | p5(tptp_fun_Y_18(X)))) | (~((~p5(tptp_fun_Y_18(X))) | (~p6(tptp_fun_Y_18(X))))) | (~(p5(tptp_fun_Y_18(X)) | p6(tptp_fun_Y_18(X)))) | (~((~p6(tptp_fun_Y_18(X))) | (~p7(tptp_fun_Y_18(X))))) | (~(p6(tptp_fun_Y_18(X)) | p7(tptp_fun_Y_18(X)))) | (~((~p7(tptp_fun_Y_18(X))) | (~p8(tptp_fun_Y_18(X))))) | (~(p7(tptp_fun_Y_18(X)) | p8(tptp_fun_Y_18(X)))) | (~((~p8(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p8(tptp_fun_Y_18(X)) | p9(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p9(tptp_fun_Y_18(X)) | p10(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p11(tptp_fun_Y_18(X))))) | (~(p10(tptp_fun_Y_18(X)) | p11(tptp_fun_Y_18(X)))) | (~((~p11(tptp_fun_Y_18(X))) | (~p12(tptp_fun_Y_18(X))))) | (~(p11(tptp_fun_Y_18(X)) | p12(tptp_fun_Y_18(X)))) | (~((~p12(tptp_fun_Y_18(X))) | (~p13(tptp_fun_Y_18(X))))) | (~(p12(tptp_fun_Y_18(X)) | p13(tptp_fun_Y_18(X)))) | (~((~p13(tptp_fun_Y_18(X))) | (~p14(tptp_fun_Y_18(X))))) | (~(p13(tptp_fun_Y_18(X)) | p14(tptp_fun_Y_18(X)))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))))))) | ((~r1(Y!3, tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | (~((~r1(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)), tptp_fun_Y_4(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | p15(tptp_fun_Y_4(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | (~r1(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)), tptp_fun_Y_5(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_5(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_X_6(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_X_6(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_Y_7(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_7(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_X_8(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_X_8(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_Y_9(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_9(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_X_10(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_X_10(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_Y_11(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_11(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_X_12(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_X_12(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_Y_13(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_13(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_X_14(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_X_14(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_Y_15(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_X_16(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_X_16(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_Y_17(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)), tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~((~p1(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p1(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p3(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p3(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p3(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p4(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p3(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p4(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p4(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p5(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p4(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p5(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p5(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p6(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p5(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p6(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p6(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p7(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p6(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p7(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p7(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p8(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p7(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p8(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p8(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p9(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p8(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p9(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p10(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p9(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p9(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p10(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p10(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p11(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p10(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p11(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p11(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p12(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p11(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p12(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p12(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p13(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p12(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p13(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p13(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p14(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p13(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p14(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~![Y: $i] : ((~r1(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)), Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))))))),
% 5.73/3.86 inference(quant_inst,[status(thm)],[])).
% 5.73/3.86 tff(74,plain,
% 5.73/3.86 ((~![X: $i] : ((~r1(Y!3, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_5(X))) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~r1(tptp_fun_X_6(X), tptp_fun_Y_7(X))) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~r1(tptp_fun_X_8(X), tptp_fun_Y_9(X))) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))) | (~r1(tptp_fun_X_10(X), tptp_fun_Y_11(X))) | (~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | (~r1(tptp_fun_X_12(X), tptp_fun_Y_13(X))) | (~r1(tptp_fun_Y_13(X), tptp_fun_X_14(X))) | (~r1(tptp_fun_X_14(X), tptp_fun_Y_15(X))) | (~r1(tptp_fun_Y_15(X), tptp_fun_X_16(X))) | (~r1(tptp_fun_X_16(X), tptp_fun_Y_17(X))) | (~r1(X, tptp_fun_Y_18(X))) | (~((~p1(tptp_fun_Y_18(X))) | (~p2(tptp_fun_Y_18(X))))) | (~(p1(tptp_fun_Y_18(X)) | p2(tptp_fun_Y_18(X)))) | (~((~p2(tptp_fun_Y_18(X))) | (~p3(tptp_fun_Y_18(X))))) | (~(p2(tptp_fun_Y_18(X)) | p3(tptp_fun_Y_18(X)))) | (~((~p3(tptp_fun_Y_18(X))) | (~p4(tptp_fun_Y_18(X))))) | (~(p3(tptp_fun_Y_18(X)) | p4(tptp_fun_Y_18(X)))) | (~((~p4(tptp_fun_Y_18(X))) | (~p5(tptp_fun_Y_18(X))))) | (~(p4(tptp_fun_Y_18(X)) | p5(tptp_fun_Y_18(X)))) | (~((~p5(tptp_fun_Y_18(X))) | (~p6(tptp_fun_Y_18(X))))) | (~(p5(tptp_fun_Y_18(X)) | p6(tptp_fun_Y_18(X)))) | (~((~p6(tptp_fun_Y_18(X))) | (~p7(tptp_fun_Y_18(X))))) | (~(p6(tptp_fun_Y_18(X)) | p7(tptp_fun_Y_18(X)))) | (~((~p7(tptp_fun_Y_18(X))) | (~p8(tptp_fun_Y_18(X))))) | (~(p7(tptp_fun_Y_18(X)) | p8(tptp_fun_Y_18(X)))) | (~((~p8(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p8(tptp_fun_Y_18(X)) | p9(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p9(tptp_fun_Y_18(X)) | p10(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p11(tptp_fun_Y_18(X))))) | (~(p10(tptp_fun_Y_18(X)) | p11(tptp_fun_Y_18(X)))) | (~((~p11(tptp_fun_Y_18(X))) | (~p12(tptp_fun_Y_18(X))))) | (~(p11(tptp_fun_Y_18(X)) | p12(tptp_fun_Y_18(X)))) | (~((~p12(tptp_fun_Y_18(X))) | (~p13(tptp_fun_Y_18(X))))) | (~(p12(tptp_fun_Y_18(X)) | p13(tptp_fun_Y_18(X)))) | (~((~p13(tptp_fun_Y_18(X))) | (~p14(tptp_fun_Y_18(X))))) | (~(p13(tptp_fun_Y_18(X)) | p14(tptp_fun_Y_18(X)))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))))))) | (~r1(Y!3, tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | (~((~r1(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)), tptp_fun_Y_4(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | p15(tptp_fun_Y_4(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | (~r1(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)), tptp_fun_Y_5(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_5(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_X_6(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_X_6(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_Y_7(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_7(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_X_8(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_X_8(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_Y_9(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_9(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_X_10(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_X_10(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_Y_11(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_11(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_X_12(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_X_12(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_Y_13(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_13(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_X_14(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_X_14(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_Y_15(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_X_16(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_X_16(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_Y_17(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)), tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~((~p1(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p1(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p3(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p3(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p3(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p4(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p3(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p4(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p4(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p5(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p4(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p5(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p5(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p6(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p5(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p6(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p6(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p7(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p6(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p7(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p7(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p8(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p7(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p8(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p8(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p9(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p8(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p9(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p10(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p9(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p9(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p10(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p10(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p11(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p10(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p11(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p11(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p12(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p11(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p12(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p12(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p13(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p12(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p13(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p13(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p14(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p13(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p14(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~![Y: $i] : ((~r1(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)), Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y))))))))))),
% 5.73/3.86 inference(modus_ponens,[status(thm)],[73, 72])).
% 5.73/3.86 tff(75,plain,
% 5.73/3.86 (~((~r1(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)), tptp_fun_Y_4(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | p15(tptp_fun_Y_4(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | (~r1(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)), tptp_fun_Y_5(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_5(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_X_6(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_X_6(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_Y_7(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_7(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_X_8(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_X_8(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_Y_9(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_9(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_X_10(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_X_10(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_Y_11(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_11(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_X_12(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_X_12(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_Y_13(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_13(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_X_14(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_X_14(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_Y_15(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_X_16(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_X_16(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_Y_17(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)), tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~((~p1(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p1(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p3(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p3(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p3(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p4(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p3(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p4(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p4(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p5(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p4(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p5(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p5(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p6(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p5(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p6(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p6(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p7(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p6(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p7(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p7(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p8(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p7(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p8(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p8(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p9(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p8(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p9(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p10(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p9(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p9(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p10(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p10(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p11(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p10(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p11(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p11(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p12(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p11(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p12(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p12(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p13(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p12(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p13(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p13(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p14(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p13(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p14(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~![Y: $i] : ((~r1(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)), Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))))),
% 5.73/3.87 inference(unit_resolution,[status(thm)],[74, 37, 71])).
% 5.73/3.87 tff(76,plain,
% 5.73/3.87 (((~r1(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)), tptp_fun_Y_4(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | p15(tptp_fun_Y_4(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | (~r1(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)), tptp_fun_Y_5(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_5(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_X_6(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_X_6(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_Y_7(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_7(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_X_8(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_X_8(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_Y_9(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_9(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_X_10(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_X_10(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_Y_11(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_11(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_X_12(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_X_12(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_Y_13(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_13(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_X_14(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_X_14(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_Y_15(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_X_16(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_X_16(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_Y_17(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)), tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~((~p1(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p1(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p3(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p3(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p3(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p4(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p3(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p4(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p4(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p5(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p4(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p5(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p5(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p6(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p5(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p6(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p6(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p7(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p6(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p7(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p7(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p8(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p7(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p8(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p8(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p9(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p8(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p9(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p10(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p9(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p9(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p10(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p10(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p11(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p10(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p11(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p11(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p12(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p11(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p12(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p12(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p13(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p12(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p13(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p13(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p14(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p13(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p14(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~![Y: $i] : ((~r1(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)), Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y))))))))) | (p1(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))),
% 5.73/3.87 inference(tautology,[status(thm)],[])).
% 5.73/3.87 tff(77,plain,
% 5.73/3.87 (p1(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))),
% 5.73/3.87 inference(unit_resolution,[status(thm)],[76, 75])).
% 5.73/3.87 tff(78,plain,
% 5.73/3.87 ((~(p1(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | p1(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))),
% 5.73/3.87 inference(tautology,[status(thm)],[])).
% 5.73/3.87 tff(79,plain,
% 5.73/3.87 (p1(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))),
% 5.73/3.87 inference(unit_resolution,[status(thm)],[78, 77])).
% 5.73/3.87 tff(80,plain,
% 5.73/3.87 (p1(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))),
% 5.73/3.87 inference(unit_resolution,[status(thm)],[79, 1])).
% 5.73/3.87 tff(81,plain,
% 5.73/3.87 (((~r1(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)), tptp_fun_Y_4(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | p15(tptp_fun_Y_4(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | (~r1(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)), tptp_fun_Y_5(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_5(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_X_6(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_X_6(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_Y_7(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_7(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_X_8(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_X_8(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_Y_9(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_9(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_X_10(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_X_10(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_Y_11(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_11(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_X_12(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_X_12(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_Y_13(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_13(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_X_14(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_X_14(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_Y_15(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_X_16(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_X_16(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_Y_17(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)), tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~((~p1(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p1(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p3(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p3(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p3(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p4(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p3(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p4(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p4(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p5(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p4(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p5(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p5(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p6(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p5(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p6(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p6(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p7(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p6(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p7(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p7(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p8(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p7(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p8(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p8(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p9(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p8(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p9(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p10(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p9(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p9(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p10(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p10(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p11(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p10(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p11(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p11(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p12(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p11(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p12(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p12(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p13(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p12(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p13(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p13(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p14(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p13(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p14(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~![Y: $i] : ((~r1(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)), Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y))))))))) | ![Y: $i] : ((~r1(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)), Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))),
% 5.73/3.87 inference(tautology,[status(thm)],[])).
% 5.73/3.87 tff(82,plain,
% 5.73/3.87 (![Y: $i] : ((~r1(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)), Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))),
% 5.73/3.87 inference(unit_resolution,[status(thm)],[81, 75])).
% 5.73/3.87 tff(83,plain,
% 5.73/3.87 (((~r1(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)), tptp_fun_Y_4(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | p15(tptp_fun_Y_4(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | (~r1(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)), tptp_fun_Y_5(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_5(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_X_6(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_X_6(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_Y_7(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_7(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_X_8(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_X_8(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_Y_9(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_9(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_X_10(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_X_10(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_Y_11(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_11(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_X_12(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_X_12(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_Y_13(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_13(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_X_14(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_X_14(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_Y_15(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_X_16(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_X_16(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_Y_17(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)), tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~((~p1(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p1(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p3(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p3(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p3(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p4(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p3(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p4(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p4(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p5(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p4(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p5(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p5(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p6(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p5(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p6(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p6(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p7(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p6(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p7(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p7(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p8(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p7(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p8(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p8(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p9(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p8(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p9(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p10(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p9(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p9(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p10(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p10(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p11(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p10(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p11(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p11(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p12(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p11(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p12(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p12(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p13(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p12(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p13(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p13(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p14(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p13(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p14(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~![Y: $i] : ((~r1(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)), Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y))))))))) | r1(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)), tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))),
% 5.73/3.88 inference(tautology,[status(thm)],[])).
% 5.73/3.88 tff(84,plain,
% 5.73/3.88 (r1(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)), tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))),
% 5.73/3.88 inference(unit_resolution,[status(thm)],[83, 75])).
% 5.73/3.88 tff(85,plain,
% 5.73/3.88 (((~![Y: $i] : ((~r1(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)), Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | ((~r1(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)), tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~((~(p1(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | (~p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | (~p1(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))))))) <=> ((~![Y: $i] : ((~r1(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)), Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~r1(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)), tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~((~(p1(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | (~p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | (~p1(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))))))),
% 5.73/3.88 inference(rewrite,[status(thm)],[])).
% 5.73/3.88 tff(86,plain,
% 5.73/3.88 ((~![Y: $i] : ((~r1(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)), Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | ((~r1(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)), tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~((~(p1(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | (~p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | (~p1(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))))))),
% 5.73/3.88 inference(quant_inst,[status(thm)],[])).
% 5.73/3.88 tff(87,plain,
% 5.73/3.88 ((~![Y: $i] : ((~r1(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)), Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~r1(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)), tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~((~(p1(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | (~p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | (~p1(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))))))),
% 5.73/3.88 inference(modus_ponens,[status(thm)],[86, 85])).
% 5.73/3.88 tff(88,plain,
% 5.73/3.88 (~((~(p1(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | (~p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | (~p1(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))))),
% 5.73/3.88 inference(unit_resolution,[status(thm)],[87, 84, 82])).
% 5.73/3.88 tff(89,plain,
% 5.73/3.88 (((~(p1(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | (~p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | (~p1(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))))) | (p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | (~p1(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))),
% 5.73/3.88 inference(tautology,[status(thm)],[])).
% 5.73/3.88 tff(90,plain,
% 5.73/3.88 (p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | (~p1(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))),
% 5.73/3.88 inference(unit_resolution,[status(thm)],[89, 88])).
% 5.73/3.88 tff(91,plain,
% 5.73/3.88 ((~(p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | (~p1(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | (~p1(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))),
% 5.73/3.88 inference(tautology,[status(thm)],[])).
% 5.73/3.88 tff(92,plain,
% 5.73/3.88 (p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | (~p1(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))),
% 5.73/3.88 inference(unit_resolution,[status(thm)],[91, 90])).
% 5.73/3.88 tff(93,plain,
% 5.73/3.88 ($false),
% 5.73/3.88 inference(unit_resolution,[status(thm)],[92, 80, 1])).
% 5.73/3.88 tff(94,plain,(p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))), inference(lemma,lemma(discharge,[]))).
% 5.73/3.88 tff(95,plain,
% 5.73/3.88 (((~r1(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)), tptp_fun_Y_4(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | p15(tptp_fun_Y_4(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | (~r1(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)), tptp_fun_Y_5(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_5(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_X_6(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_X_6(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_Y_7(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_7(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_X_8(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_X_8(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_Y_9(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_9(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_X_10(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_X_10(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_Y_11(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_11(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_X_12(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_X_12(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_Y_13(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_13(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_X_14(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_X_14(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_Y_15(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_X_16(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_X_16(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), tptp_fun_Y_17(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~r1(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)), tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~((~p1(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p1(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p3(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p3(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p3(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p4(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p3(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p4(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p4(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p5(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p4(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p5(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p5(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p6(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p5(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p6(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p6(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p7(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p6(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p7(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p7(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p8(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p7(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p8(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p8(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p9(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p8(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p9(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p10(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p9(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p9(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p10(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p10(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p11(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p10(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p11(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p11(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p12(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p11(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p12(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p12(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p13(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p12(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p13(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~((~p13(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p14(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p13(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | p14(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))) | (~![Y: $i] : ((~r1(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)), Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y))))))))) | ((~p1(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))),
% 5.73/3.91 inference(tautology,[status(thm)],[])).
% 5.73/3.91 tff(96,plain,
% 5.73/3.91 ((~p1(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))),
% 5.73/3.91 inference(unit_resolution,[status(thm)],[95, 75])).
% 5.73/3.91 tff(97,plain,
% 5.73/3.91 ((~((~p1(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~p1(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))),
% 5.73/3.91 inference(tautology,[status(thm)],[])).
% 5.73/3.91 tff(98,plain,
% 5.73/3.91 ((~p1(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))) | (~p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))),
% 5.73/3.91 inference(unit_resolution,[status(thm)],[97, 96])).
% 5.73/3.91 tff(99,plain,
% 5.73/3.91 (~p1(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))),
% 5.73/3.91 inference(unit_resolution,[status(thm)],[98, 94])).
% 5.73/3.91 tff(100,plain,
% 5.73/3.91 (((~(p1(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | (~p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | (~(p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | (~p1(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))))) | (p1(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | (~p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))),
% 5.73/3.91 inference(tautology,[status(thm)],[])).
% 5.73/3.91 tff(101,plain,
% 5.73/3.91 (p1(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | (~p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))),
% 5.73/3.91 inference(unit_resolution,[status(thm)],[100, 88])).
% 5.73/3.91 tff(102,plain,
% 5.73/3.91 ((~(p1(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | (~p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3))))))) | p1(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | (~p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))),
% 5.73/3.91 inference(tautology,[status(thm)],[])).
% 5.73/3.91 tff(103,plain,
% 5.73/3.91 (p1(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))) | (~p2(tptp_fun_Y_18(tptp_fun_Y_4(tptp_fun_Y_5(Y!3)))))),
% 5.73/3.91 inference(unit_resolution,[status(thm)],[102, 101])).
% 5.73/3.91 tff(104,plain,
% 5.73/3.91 ($false),
% 5.73/3.91 inference(unit_resolution,[status(thm)],[103, 99, 94])).
% 5.73/3.91 % SZS output end Proof
%------------------------------------------------------------------------------