TSTP Solution File: LCL656+1.005 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : LCL656+1.005 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n002.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 04:57:29 EDT 2022
% Result : Theorem 0.10s 0.31s
% Output : Proof 0.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : LCL656+1.005 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.07 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.06/0.26 % Computer : n002.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 300
% 0.06/0.26 % DateTime : Thu Sep 1 23:29:45 EDT 2022
% 0.06/0.26 % CPUTime :
% 0.06/0.26 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.06/0.26 Usage: tptp [options] [-file:]file
% 0.06/0.26 -h, -? prints this message.
% 0.06/0.26 -smt2 print SMT-LIB2 benchmark.
% 0.06/0.26 -m, -model generate model.
% 0.06/0.26 -p, -proof generate proof.
% 0.06/0.26 -c, -core generate unsat core of named formulas.
% 0.06/0.26 -st, -statistics display statistics.
% 0.06/0.26 -t:timeout set timeout (in second).
% 0.06/0.26 -smt2status display status in smt2 format instead of SZS.
% 0.06/0.26 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.06/0.26 -<param>:<value> configuration parameter and value.
% 0.06/0.26 -o:<output-file> file to place output in.
% 0.10/0.31 % SZS status Theorem
% 0.10/0.31 % SZS output start Proof
% 0.10/0.31 tff(r1_type, type, (
% 0.10/0.31 r1: ( $i * $i ) > $o)).
% 0.10/0.31 tff(tptp_fun_X_9_type, type, (
% 0.10/0.31 tptp_fun_X_9: $i > $i)).
% 0.10/0.31 tff(tptp_fun_X_0_type, type, (
% 0.10/0.31 tptp_fun_X_0: $i)).
% 0.10/0.31 tff(p3_type, type, (
% 0.10/0.31 p3: $i > $o)).
% 0.10/0.31 tff(p101_type, type, (
% 0.10/0.31 p101: $i > $o)).
% 0.10/0.31 tff(tptp_fun_X_10_type, type, (
% 0.10/0.31 tptp_fun_X_10: $i > $i)).
% 0.10/0.31 tff(p2_type, type, (
% 0.10/0.31 p2: $i > $o)).
% 0.10/0.31 tff(p102_type, type, (
% 0.10/0.31 p102: $i > $o)).
% 0.10/0.31 tff(p100_type, type, (
% 0.10/0.31 p100: $i > $o)).
% 0.10/0.31 tff(p103_type, type, (
% 0.10/0.31 p103: $i > $o)).
% 0.10/0.31 tff(p4_type, type, (
% 0.10/0.31 p4: $i > $o)).
% 0.10/0.31 tff(p104_type, type, (
% 0.10/0.31 p104: $i > $o)).
% 0.10/0.31 tff(p5_type, type, (
% 0.10/0.31 p5: $i > $o)).
% 0.10/0.31 tff(p105_type, type, (
% 0.10/0.31 p105: $i > $o)).
% 0.10/0.31 tff(p6_type, type, (
% 0.10/0.31 p6: $i > $o)).
% 0.10/0.31 tff(tptp_fun_X_8_type, type, (
% 0.10/0.31 tptp_fun_X_8: $i > $i)).
% 0.10/0.31 tff(tptp_fun_X_7_type, type, (
% 0.10/0.31 tptp_fun_X_7: $i > $i)).
% 0.10/0.31 tff(tptp_fun_X_5_type, type, (
% 0.10/0.31 tptp_fun_X_5: $i > $i)).
% 0.10/0.31 tff(tptp_fun_X_6_type, type, (
% 0.10/0.31 tptp_fun_X_6: $i > $i)).
% 0.10/0.31 tff(tptp_fun_X_4_type, type, (
% 0.10/0.31 tptp_fun_X_4: $i > $i)).
% 0.10/0.31 tff(tptp_fun_X_3_type, type, (
% 0.10/0.31 tptp_fun_X_3: $i > $i)).
% 0.10/0.31 tff(tptp_fun_X_2_type, type, (
% 0.10/0.31 tptp_fun_X_2: $i > $i)).
% 0.10/0.31 tff(tptp_fun_X_1_type, type, (
% 0.10/0.31 tptp_fun_X_1: $i > $i)).
% 0.10/0.31 tff(p106_type, type, (
% 0.10/0.31 p106: $i > $o)).
% 0.10/0.31 tff(p1_type, type, (
% 0.10/0.31 p1: $i > $o)).
% 0.10/0.31 tff(1,plain,
% 0.10/0.31 (^[X: $i] : refl(r1(X, X) <=> r1(X, X))),
% 0.10/0.31 inference(bind,[status(th)],[])).
% 0.10/0.31 tff(2,plain,
% 0.10/0.31 (![X: $i] : r1(X, X) <=> ![X: $i] : r1(X, X)),
% 0.10/0.31 inference(quant_intro,[status(thm)],[1])).
% 0.10/0.31 tff(3,plain,
% 0.10/0.31 (![X: $i] : r1(X, X) <=> ![X: $i] : r1(X, X)),
% 0.10/0.31 inference(rewrite,[status(thm)],[])).
% 0.10/0.31 tff(4,axiom,(![X: $i] : r1(X, X)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','reflexivity')).
% 0.10/0.31 tff(5,plain,
% 0.10/0.31 (![X: $i] : r1(X, X)),
% 0.10/0.31 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.10/0.31 tff(6,plain,(
% 0.10/0.31 ![X: $i] : r1(X, X)),
% 0.10/0.31 inference(skolemize,[status(sab)],[5])).
% 0.10/0.31 tff(7,plain,
% 0.10/0.31 (![X: $i] : r1(X, X)),
% 0.10/0.31 inference(modus_ponens,[status(thm)],[6, 2])).
% 0.10/0.31 tff(8,plain,
% 0.10/0.31 ((~![X: $i] : r1(X, X)) | r1(X!0, X!0)),
% 0.10/0.31 inference(quant_inst,[status(thm)],[])).
% 0.10/0.31 tff(9,plain,
% 0.10/0.31 (r1(X!0, X!0)),
% 0.10/0.31 inference(unit_resolution,[status(thm)],[8, 7])).
% 0.10/0.31 tff(10,plain,
% 0.10/0.31 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))))))))))))))),
% 0.10/0.32 inference(bind,[status(th)],[])).
% 0.10/0.32 tff(11,plain,
% 0.10/0.32 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))))))),
% 0.10/0.32 inference(quant_intro,[status(thm)],[10])).
% 0.10/0.32 tff(12,plain,
% 0.10/0.32 (^[Y: $i] : refl(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y))))))))))))),
% 0.10/0.32 inference(bind,[status(th)],[])).
% 0.10/0.32 tff(13,plain,
% 0.10/0.32 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))))))))))),
% 0.10/0.32 inference(quant_intro,[status(thm)],[12])).
% 0.10/0.32 tff(14,plain,
% 0.10/0.32 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y))))))))))))),
% 0.10/0.32 inference(bind,[status(th)],[])).
% 0.10/0.32 tff(15,plain,
% 0.10/0.32 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))))))))))),
% 0.10/0.32 inference(quant_intro,[status(thm)],[14])).
% 0.10/0.32 tff(16,plain,
% 0.10/0.32 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))))))))))),
% 0.10/0.32 inference(transitivity,[status(thm)],[15, 13])).
% 0.10/0.32 tff(17,plain,
% 0.10/0.32 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((~((~p105(Y)) & p104(Y))) | ((~((~r1(Y, tptp_fun_X_1(Y))) | (~((~p6(tptp_fun_X_1(Y))) & (~p106(tptp_fun_X_1(Y))) & p105(tptp_fun_X_1(Y)))))) & (~((~r1(Y, tptp_fun_X_2(Y))) | (~(p6(tptp_fun_X_2(Y)) & (~p106(tptp_fun_X_2(Y))) & p105(tptp_fun_X_2(Y)))))))) & ((~((~p104(Y)) & p103(Y))) | ((~((~r1(Y, tptp_fun_X_3(Y))) | (~((~p5(tptp_fun_X_3(Y))) & (~p105(tptp_fun_X_3(Y))) & p104(tptp_fun_X_3(Y)))))) & (~((~r1(Y, tptp_fun_X_4(Y))) | (~(p5(tptp_fun_X_4(Y)) & (~p105(tptp_fun_X_4(Y))) & p104(tptp_fun_X_4(Y)))))))) & (((~((~r1(Y, tptp_fun_X_5(Y))) | (~((~p4(tptp_fun_X_5(Y))) & (~p104(tptp_fun_X_5(Y))) & p103(tptp_fun_X_5(Y)))))) & (~((~r1(Y, tptp_fun_X_6(Y))) | (~(p4(tptp_fun_X_6(Y)) & (~p104(tptp_fun_X_6(Y))) & p103(tptp_fun_X_6(Y))))))) | (~((~p103(Y)) & p102(Y)))) & ((~((~p102(Y)) & p101(Y))) | ((~((~r1(Y, tptp_fun_X_7(Y))) | (~((~p3(tptp_fun_X_7(Y))) & (~p103(tptp_fun_X_7(Y))) & p102(tptp_fun_X_7(Y)))))) & (~((~r1(Y, tptp_fun_X_8(Y))) | (~(p3(tptp_fun_X_8(Y)) & (~p103(tptp_fun_X_8(Y))) & p102(tptp_fun_X_8(Y)))))))) & ((~((~p101(Y)) & p100(Y))) | ((~((~r1(Y, tptp_fun_X_9(Y))) | (~((~p2(tptp_fun_X_9(Y))) & (~p102(tptp_fun_X_9(Y))) & p101(tptp_fun_X_9(Y)))))) & (~((~r1(Y, tptp_fun_X_10(Y))) | (~(p2(tptp_fun_X_10(Y)) & (~p102(tptp_fun_X_10(Y))) & p101(tptp_fun_X_10(Y)))))))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y))))))))))))),
% 0.10/0.32 inference(bind,[status(th)],[])).
% 0.10/0.32 tff(18,plain,
% 0.10/0.32 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((~((~p105(Y)) & p104(Y))) | ((~((~r1(Y, tptp_fun_X_1(Y))) | (~((~p6(tptp_fun_X_1(Y))) & (~p106(tptp_fun_X_1(Y))) & p105(tptp_fun_X_1(Y)))))) & (~((~r1(Y, tptp_fun_X_2(Y))) | (~(p6(tptp_fun_X_2(Y)) & (~p106(tptp_fun_X_2(Y))) & p105(tptp_fun_X_2(Y)))))))) & ((~((~p104(Y)) & p103(Y))) | ((~((~r1(Y, tptp_fun_X_3(Y))) | (~((~p5(tptp_fun_X_3(Y))) & (~p105(tptp_fun_X_3(Y))) & p104(tptp_fun_X_3(Y)))))) & (~((~r1(Y, tptp_fun_X_4(Y))) | (~(p5(tptp_fun_X_4(Y)) & (~p105(tptp_fun_X_4(Y))) & p104(tptp_fun_X_4(Y)))))))) & (((~((~r1(Y, tptp_fun_X_5(Y))) | (~((~p4(tptp_fun_X_5(Y))) & (~p104(tptp_fun_X_5(Y))) & p103(tptp_fun_X_5(Y)))))) & (~((~r1(Y, tptp_fun_X_6(Y))) | (~(p4(tptp_fun_X_6(Y)) & (~p104(tptp_fun_X_6(Y))) & p103(tptp_fun_X_6(Y))))))) | (~((~p103(Y)) & p102(Y)))) & ((~((~p102(Y)) & p101(Y))) | ((~((~r1(Y, tptp_fun_X_7(Y))) | (~((~p3(tptp_fun_X_7(Y))) & (~p103(tptp_fun_X_7(Y))) & p102(tptp_fun_X_7(Y)))))) & (~((~r1(Y, tptp_fun_X_8(Y))) | (~(p3(tptp_fun_X_8(Y)) & (~p103(tptp_fun_X_8(Y))) & p102(tptp_fun_X_8(Y)))))))) & ((~((~p101(Y)) & p100(Y))) | ((~((~r1(Y, tptp_fun_X_9(Y))) | (~((~p2(tptp_fun_X_9(Y))) & (~p102(tptp_fun_X_9(Y))) & p101(tptp_fun_X_9(Y)))))) & (~((~r1(Y, tptp_fun_X_10(Y))) | (~(p2(tptp_fun_X_10(Y)) & (~p102(tptp_fun_X_10(Y))) & p101(tptp_fun_X_10(Y)))))))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))))))))))),
% 0.10/0.32 inference(quant_intro,[status(thm)],[17])).
% 0.10/0.32 tff(19,plain,
% 0.10/0.32 ((![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))))) & (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((~((~p105(Y)) & p104(Y))) | ((~((~r1(Y, tptp_fun_X_1(Y))) | (~((~p6(tptp_fun_X_1(Y))) & (~p106(tptp_fun_X_1(Y))) & p105(tptp_fun_X_1(Y)))))) & (~((~r1(Y, tptp_fun_X_2(Y))) | (~(p6(tptp_fun_X_2(Y)) & (~p106(tptp_fun_X_2(Y))) & p105(tptp_fun_X_2(Y)))))))) & ((~((~p104(Y)) & p103(Y))) | ((~((~r1(Y, tptp_fun_X_3(Y))) | (~((~p5(tptp_fun_X_3(Y))) & (~p105(tptp_fun_X_3(Y))) & p104(tptp_fun_X_3(Y)))))) & (~((~r1(Y, tptp_fun_X_4(Y))) | (~(p5(tptp_fun_X_4(Y)) & (~p105(tptp_fun_X_4(Y))) & p104(tptp_fun_X_4(Y)))))))) & (((~((~r1(Y, tptp_fun_X_5(Y))) | (~((~p4(tptp_fun_X_5(Y))) & (~p104(tptp_fun_X_5(Y))) & p103(tptp_fun_X_5(Y)))))) & (~((~r1(Y, tptp_fun_X_6(Y))) | (~(p4(tptp_fun_X_6(Y)) & (~p104(tptp_fun_X_6(Y))) & p103(tptp_fun_X_6(Y))))))) | (~((~p103(Y)) & p102(Y)))) & ((~((~p102(Y)) & p101(Y))) | ((~((~r1(Y, tptp_fun_X_7(Y))) | (~((~p3(tptp_fun_X_7(Y))) & (~p103(tptp_fun_X_7(Y))) & p102(tptp_fun_X_7(Y)))))) & (~((~r1(Y, tptp_fun_X_8(Y))) | (~(p3(tptp_fun_X_8(Y)) & (~p103(tptp_fun_X_8(Y))) & p102(tptp_fun_X_8(Y)))))))) & ((~((~p101(Y)) & p100(Y))) | ((~((~r1(Y, tptp_fun_X_9(Y))) | (~((~p2(tptp_fun_X_9(Y))) & (~p102(tptp_fun_X_9(Y))) & p101(tptp_fun_X_9(Y)))))) & (~((~r1(Y, tptp_fun_X_10(Y))) | (~(p2(tptp_fun_X_10(Y)) & (~p102(tptp_fun_X_10(Y))) & p101(tptp_fun_X_10(Y)))))))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))))))) & (~p101(X!0)) & p100(X!0))) <=> (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((~((~p105(Y)) & p104(Y))) | ((~((~r1(Y, tptp_fun_X_1(Y))) | (~((~p6(tptp_fun_X_1(Y))) & (~p106(tptp_fun_X_1(Y))) & p105(tptp_fun_X_1(Y)))))) & (~((~r1(Y, tptp_fun_X_2(Y))) | (~(p6(tptp_fun_X_2(Y)) & (~p106(tptp_fun_X_2(Y))) & p105(tptp_fun_X_2(Y)))))))) & ((~((~p104(Y)) & p103(Y))) | ((~((~r1(Y, tptp_fun_X_3(Y))) | (~((~p5(tptp_fun_X_3(Y))) & (~p105(tptp_fun_X_3(Y))) & p104(tptp_fun_X_3(Y)))))) & (~((~r1(Y, tptp_fun_X_4(Y))) | (~(p5(tptp_fun_X_4(Y)) & (~p105(tptp_fun_X_4(Y))) & p104(tptp_fun_X_4(Y)))))))) & (((~((~r1(Y, tptp_fun_X_5(Y))) | (~((~p4(tptp_fun_X_5(Y))) & (~p104(tptp_fun_X_5(Y))) & p103(tptp_fun_X_5(Y)))))) & (~((~r1(Y, tptp_fun_X_6(Y))) | (~(p4(tptp_fun_X_6(Y)) & (~p104(tptp_fun_X_6(Y))) & p103(tptp_fun_X_6(Y))))))) | (~((~p103(Y)) & p102(Y)))) & ((~((~p102(Y)) & p101(Y))) | ((~((~r1(Y, tptp_fun_X_7(Y))) | (~((~p3(tptp_fun_X_7(Y))) & (~p103(tptp_fun_X_7(Y))) & p102(tptp_fun_X_7(Y)))))) & (~((~r1(Y, tptp_fun_X_8(Y))) | (~(p3(tptp_fun_X_8(Y)) & (~p103(tptp_fun_X_8(Y))) & p102(tptp_fun_X_8(Y)))))))) & ((~((~p101(Y)) & p100(Y))) | ((~((~r1(Y, tptp_fun_X_9(Y))) | (~((~p2(tptp_fun_X_9(Y))) & (~p102(tptp_fun_X_9(Y))) & p101(tptp_fun_X_9(Y)))))) & (~((~r1(Y, tptp_fun_X_10(Y))) | (~(p2(tptp_fun_X_10(Y)) & (~p102(tptp_fun_X_10(Y))) & p101(tptp_fun_X_10(Y)))))))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))))))) & (~p101(X!0)) & p100(X!0))),
% 0.10/0.32 inference(rewrite,[status(thm)],[])).
% 0.10/0.32 tff(20,plain,
% 0.10/0.32 ((![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((((~((~r1(Y, tptp_fun_X_1(Y))) | (~((~p6(tptp_fun_X_1(Y))) & (~p106(tptp_fun_X_1(Y))) & p105(tptp_fun_X_1(Y)))))) & (~((~r1(Y, tptp_fun_X_2(Y))) | (~(p6(tptp_fun_X_2(Y)) & (~p106(tptp_fun_X_2(Y))) & p105(tptp_fun_X_2(Y))))))) | (~((~p105(Y)) & p104(Y)))) & (((~((~r1(Y, tptp_fun_X_3(Y))) | (~((~p5(tptp_fun_X_3(Y))) & (~p105(tptp_fun_X_3(Y))) & p104(tptp_fun_X_3(Y)))))) & (~((~r1(Y, tptp_fun_X_4(Y))) | (~(p5(tptp_fun_X_4(Y)) & (~p105(tptp_fun_X_4(Y))) & p104(tptp_fun_X_4(Y))))))) | (~((~p104(Y)) & p103(Y)))) & (((~((~r1(Y, tptp_fun_X_5(Y))) | (~((~p4(tptp_fun_X_5(Y))) & (~p104(tptp_fun_X_5(Y))) & p103(tptp_fun_X_5(Y)))))) & (~((~r1(Y, tptp_fun_X_6(Y))) | (~(p4(tptp_fun_X_6(Y)) & (~p104(tptp_fun_X_6(Y))) & p103(tptp_fun_X_6(Y))))))) | (~((~p103(Y)) & p102(Y)))) & (((~((~r1(Y, tptp_fun_X_7(Y))) | (~((~p3(tptp_fun_X_7(Y))) & (~p103(tptp_fun_X_7(Y))) & p102(tptp_fun_X_7(Y)))))) & (~((~r1(Y, tptp_fun_X_8(Y))) | (~(p3(tptp_fun_X_8(Y)) & (~p103(tptp_fun_X_8(Y))) & p102(tptp_fun_X_8(Y))))))) | (~((~p102(Y)) & p101(Y)))) & (((~((~r1(Y, tptp_fun_X_9(Y))) | (~((~p2(tptp_fun_X_9(Y))) & (~p102(tptp_fun_X_9(Y))) & p101(tptp_fun_X_9(Y)))))) & (~((~r1(Y, tptp_fun_X_10(Y))) | (~(p2(tptp_fun_X_10(Y)) & (~p102(tptp_fun_X_10(Y))) & p101(tptp_fun_X_10(Y))))))) | (~((~p101(Y)) & p100(Y)))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))))))) & (~p101(X!0)) & p100(X!0)) <=> (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((~((~p105(Y)) & p104(Y))) | ((~((~r1(Y, tptp_fun_X_1(Y))) | (~((~p6(tptp_fun_X_1(Y))) & (~p106(tptp_fun_X_1(Y))) & p105(tptp_fun_X_1(Y)))))) & (~((~r1(Y, tptp_fun_X_2(Y))) | (~(p6(tptp_fun_X_2(Y)) & (~p106(tptp_fun_X_2(Y))) & p105(tptp_fun_X_2(Y)))))))) & ((~((~p104(Y)) & p103(Y))) | ((~((~r1(Y, tptp_fun_X_3(Y))) | (~((~p5(tptp_fun_X_3(Y))) & (~p105(tptp_fun_X_3(Y))) & p104(tptp_fun_X_3(Y)))))) & (~((~r1(Y, tptp_fun_X_4(Y))) | (~(p5(tptp_fun_X_4(Y)) & (~p105(tptp_fun_X_4(Y))) & p104(tptp_fun_X_4(Y)))))))) & (((~((~r1(Y, tptp_fun_X_5(Y))) | (~((~p4(tptp_fun_X_5(Y))) & (~p104(tptp_fun_X_5(Y))) & p103(tptp_fun_X_5(Y)))))) & (~((~r1(Y, tptp_fun_X_6(Y))) | (~(p4(tptp_fun_X_6(Y)) & (~p104(tptp_fun_X_6(Y))) & p103(tptp_fun_X_6(Y))))))) | (~((~p103(Y)) & p102(Y)))) & ((~((~p102(Y)) & p101(Y))) | ((~((~r1(Y, tptp_fun_X_7(Y))) | (~((~p3(tptp_fun_X_7(Y))) & (~p103(tptp_fun_X_7(Y))) & p102(tptp_fun_X_7(Y)))))) & (~((~r1(Y, tptp_fun_X_8(Y))) | (~(p3(tptp_fun_X_8(Y)) & (~p103(tptp_fun_X_8(Y))) & p102(tptp_fun_X_8(Y)))))))) & ((~((~p101(Y)) & p100(Y))) | ((~((~r1(Y, tptp_fun_X_9(Y))) | (~((~p2(tptp_fun_X_9(Y))) & (~p102(tptp_fun_X_9(Y))) & p101(tptp_fun_X_9(Y)))))) & (~((~r1(Y, tptp_fun_X_10(Y))) | (~(p2(tptp_fun_X_10(Y)) & (~p102(tptp_fun_X_10(Y))) & p101(tptp_fun_X_10(Y)))))))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))))))) & (~p101(X!0)) & p100(X!0))),
% 0.10/0.33 inference(rewrite,[status(thm)],[])).
% 0.10/0.33 tff(21,plain,
% 0.10/0.33 ((![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))))) & (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((((~((~r1(Y, tptp_fun_X_1(Y))) | (~((~p6(tptp_fun_X_1(Y))) & (~p106(tptp_fun_X_1(Y))) & p105(tptp_fun_X_1(Y)))))) & (~((~r1(Y, tptp_fun_X_2(Y))) | (~(p6(tptp_fun_X_2(Y)) & (~p106(tptp_fun_X_2(Y))) & p105(tptp_fun_X_2(Y))))))) | (~((~p105(Y)) & p104(Y)))) & (((~((~r1(Y, tptp_fun_X_3(Y))) | (~((~p5(tptp_fun_X_3(Y))) & (~p105(tptp_fun_X_3(Y))) & p104(tptp_fun_X_3(Y)))))) & (~((~r1(Y, tptp_fun_X_4(Y))) | (~(p5(tptp_fun_X_4(Y)) & (~p105(tptp_fun_X_4(Y))) & p104(tptp_fun_X_4(Y))))))) | (~((~p104(Y)) & p103(Y)))) & (((~((~r1(Y, tptp_fun_X_5(Y))) | (~((~p4(tptp_fun_X_5(Y))) & (~p104(tptp_fun_X_5(Y))) & p103(tptp_fun_X_5(Y)))))) & (~((~r1(Y, tptp_fun_X_6(Y))) | (~(p4(tptp_fun_X_6(Y)) & (~p104(tptp_fun_X_6(Y))) & p103(tptp_fun_X_6(Y))))))) | (~((~p103(Y)) & p102(Y)))) & (((~((~r1(Y, tptp_fun_X_7(Y))) | (~((~p3(tptp_fun_X_7(Y))) & (~p103(tptp_fun_X_7(Y))) & p102(tptp_fun_X_7(Y)))))) & (~((~r1(Y, tptp_fun_X_8(Y))) | (~(p3(tptp_fun_X_8(Y)) & (~p103(tptp_fun_X_8(Y))) & p102(tptp_fun_X_8(Y))))))) | (~((~p102(Y)) & p101(Y)))) & (((~((~r1(Y, tptp_fun_X_9(Y))) | (~((~p2(tptp_fun_X_9(Y))) & (~p102(tptp_fun_X_9(Y))) & p101(tptp_fun_X_9(Y)))))) & (~((~r1(Y, tptp_fun_X_10(Y))) | (~(p2(tptp_fun_X_10(Y)) & (~p102(tptp_fun_X_10(Y))) & p101(tptp_fun_X_10(Y))))))) | (~((~p101(Y)) & p100(Y)))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))))))) & (~p101(X!0)) & p100(X!0))) <=> (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))))) & (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((~((~p105(Y)) & p104(Y))) | ((~((~r1(Y, tptp_fun_X_1(Y))) | (~((~p6(tptp_fun_X_1(Y))) & (~p106(tptp_fun_X_1(Y))) & p105(tptp_fun_X_1(Y)))))) & (~((~r1(Y, tptp_fun_X_2(Y))) | (~(p6(tptp_fun_X_2(Y)) & (~p106(tptp_fun_X_2(Y))) & p105(tptp_fun_X_2(Y)))))))) & ((~((~p104(Y)) & p103(Y))) | ((~((~r1(Y, tptp_fun_X_3(Y))) | (~((~p5(tptp_fun_X_3(Y))) & (~p105(tptp_fun_X_3(Y))) & p104(tptp_fun_X_3(Y)))))) & (~((~r1(Y, tptp_fun_X_4(Y))) | (~(p5(tptp_fun_X_4(Y)) & (~p105(tptp_fun_X_4(Y))) & p104(tptp_fun_X_4(Y)))))))) & (((~((~r1(Y, tptp_fun_X_5(Y))) | (~((~p4(tptp_fun_X_5(Y))) & (~p104(tptp_fun_X_5(Y))) & p103(tptp_fun_X_5(Y)))))) & (~((~r1(Y, tptp_fun_X_6(Y))) | (~(p4(tptp_fun_X_6(Y)) & (~p104(tptp_fun_X_6(Y))) & p103(tptp_fun_X_6(Y))))))) | (~((~p103(Y)) & p102(Y)))) & ((~((~p102(Y)) & p101(Y))) | ((~((~r1(Y, tptp_fun_X_7(Y))) | (~((~p3(tptp_fun_X_7(Y))) & (~p103(tptp_fun_X_7(Y))) & p102(tptp_fun_X_7(Y)))))) & (~((~r1(Y, tptp_fun_X_8(Y))) | (~(p3(tptp_fun_X_8(Y)) & (~p103(tptp_fun_X_8(Y))) & p102(tptp_fun_X_8(Y)))))))) & ((~((~p101(Y)) & p100(Y))) | ((~((~r1(Y, tptp_fun_X_9(Y))) | (~((~p2(tptp_fun_X_9(Y))) & (~p102(tptp_fun_X_9(Y))) & p101(tptp_fun_X_9(Y)))))) & (~((~r1(Y, tptp_fun_X_10(Y))) | (~(p2(tptp_fun_X_10(Y)) & (~p102(tptp_fun_X_10(Y))) & p101(tptp_fun_X_10(Y)))))))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))))))) & (~p101(X!0)) & p100(X!0)))),
% 0.10/0.33 inference(monotonicity,[status(thm)],[20])).
% 0.10/0.33 tff(22,plain,
% 0.10/0.33 ((![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))))) & (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((((~((~r1(Y, tptp_fun_X_1(Y))) | (~((~p6(tptp_fun_X_1(Y))) & (~p106(tptp_fun_X_1(Y))) & p105(tptp_fun_X_1(Y)))))) & (~((~r1(Y, tptp_fun_X_2(Y))) | (~(p6(tptp_fun_X_2(Y)) & (~p106(tptp_fun_X_2(Y))) & p105(tptp_fun_X_2(Y))))))) | (~((~p105(Y)) & p104(Y)))) & (((~((~r1(Y, tptp_fun_X_3(Y))) | (~((~p5(tptp_fun_X_3(Y))) & (~p105(tptp_fun_X_3(Y))) & p104(tptp_fun_X_3(Y)))))) & (~((~r1(Y, tptp_fun_X_4(Y))) | (~(p5(tptp_fun_X_4(Y)) & (~p105(tptp_fun_X_4(Y))) & p104(tptp_fun_X_4(Y))))))) | (~((~p104(Y)) & p103(Y)))) & (((~((~r1(Y, tptp_fun_X_5(Y))) | (~((~p4(tptp_fun_X_5(Y))) & (~p104(tptp_fun_X_5(Y))) & p103(tptp_fun_X_5(Y)))))) & (~((~r1(Y, tptp_fun_X_6(Y))) | (~(p4(tptp_fun_X_6(Y)) & (~p104(tptp_fun_X_6(Y))) & p103(tptp_fun_X_6(Y))))))) | (~((~p103(Y)) & p102(Y)))) & (((~((~r1(Y, tptp_fun_X_7(Y))) | (~((~p3(tptp_fun_X_7(Y))) & (~p103(tptp_fun_X_7(Y))) & p102(tptp_fun_X_7(Y)))))) & (~((~r1(Y, tptp_fun_X_8(Y))) | (~(p3(tptp_fun_X_8(Y)) & (~p103(tptp_fun_X_8(Y))) & p102(tptp_fun_X_8(Y))))))) | (~((~p102(Y)) & p101(Y)))) & (((~((~r1(Y, tptp_fun_X_9(Y))) | (~((~p2(tptp_fun_X_9(Y))) & (~p102(tptp_fun_X_9(Y))) & p101(tptp_fun_X_9(Y)))))) & (~((~r1(Y, tptp_fun_X_10(Y))) | (~(p2(tptp_fun_X_10(Y)) & (~p102(tptp_fun_X_10(Y))) & p101(tptp_fun_X_10(Y))))))) | (~((~p101(Y)) & p100(Y)))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))))))) & (~p101(X!0)) & p100(X!0))) <=> (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((~((~p105(Y)) & p104(Y))) | ((~((~r1(Y, tptp_fun_X_1(Y))) | (~((~p6(tptp_fun_X_1(Y))) & (~p106(tptp_fun_X_1(Y))) & p105(tptp_fun_X_1(Y)))))) & (~((~r1(Y, tptp_fun_X_2(Y))) | (~(p6(tptp_fun_X_2(Y)) & (~p106(tptp_fun_X_2(Y))) & p105(tptp_fun_X_2(Y)))))))) & ((~((~p104(Y)) & p103(Y))) | ((~((~r1(Y, tptp_fun_X_3(Y))) | (~((~p5(tptp_fun_X_3(Y))) & (~p105(tptp_fun_X_3(Y))) & p104(tptp_fun_X_3(Y)))))) & (~((~r1(Y, tptp_fun_X_4(Y))) | (~(p5(tptp_fun_X_4(Y)) & (~p105(tptp_fun_X_4(Y))) & p104(tptp_fun_X_4(Y)))))))) & (((~((~r1(Y, tptp_fun_X_5(Y))) | (~((~p4(tptp_fun_X_5(Y))) & (~p104(tptp_fun_X_5(Y))) & p103(tptp_fun_X_5(Y)))))) & (~((~r1(Y, tptp_fun_X_6(Y))) | (~(p4(tptp_fun_X_6(Y)) & (~p104(tptp_fun_X_6(Y))) & p103(tptp_fun_X_6(Y))))))) | (~((~p103(Y)) & p102(Y)))) & ((~((~p102(Y)) & p101(Y))) | ((~((~r1(Y, tptp_fun_X_7(Y))) | (~((~p3(tptp_fun_X_7(Y))) & (~p103(tptp_fun_X_7(Y))) & p102(tptp_fun_X_7(Y)))))) & (~((~r1(Y, tptp_fun_X_8(Y))) | (~(p3(tptp_fun_X_8(Y)) & (~p103(tptp_fun_X_8(Y))) & p102(tptp_fun_X_8(Y)))))))) & ((~((~p101(Y)) & p100(Y))) | ((~((~r1(Y, tptp_fun_X_9(Y))) | (~((~p2(tptp_fun_X_9(Y))) & (~p102(tptp_fun_X_9(Y))) & p101(tptp_fun_X_9(Y)))))) & (~((~r1(Y, tptp_fun_X_10(Y))) | (~(p2(tptp_fun_X_10(Y)) & (~p102(tptp_fun_X_10(Y))) & p101(tptp_fun_X_10(Y)))))))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))))))) & (~p101(X!0)) & p100(X!0))),
% 0.10/0.33 inference(transitivity,[status(thm)],[21, 19])).
% 0.10/0.33 tff(23,plain,
% 0.10/0.33 (?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)))))))) | (~(![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((((~![X: $i] : ((~r1(Y, X)) | (~((~p6(X)) & (~p106(X)) & p105(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p6(X) & (~p106(X)) & p105(X)))))) | (~((~p105(Y)) & p104(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p5(X)) & (~p105(X)) & p104(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p5(X) & (~p105(X)) & p104(X)))))) | (~((~p104(Y)) & p103(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p4(X)) & (~p104(X)) & p103(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p4(X) & (~p104(X)) & p103(X)))))) | (~((~p103(Y)) & p102(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p3(X)) & (~p103(X)) & p102(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p3(X) & (~p103(X)) & p102(X)))))) | (~((~p102(Y)) & p101(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p2(X)) & (~p102(X)) & p101(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p2(X) & (~p102(X)) & p101(X)))))) | (~((~p101(Y)) & p100(Y)))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))))))) & (~p101(X)) & p100(X))))) <=> ?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)))))))) | (~(![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((((~![X: $i] : ((~r1(Y, X)) | (~((~p6(X)) & (~p106(X)) & p105(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p6(X) & (~p106(X)) & p105(X)))))) | (~((~p105(Y)) & p104(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p5(X)) & (~p105(X)) & p104(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p5(X) & (~p105(X)) & p104(X)))))) | (~((~p104(Y)) & p103(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p4(X)) & (~p104(X)) & p103(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p4(X) & (~p104(X)) & p103(X)))))) | (~((~p103(Y)) & p102(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p3(X)) & (~p103(X)) & p102(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p3(X) & (~p103(X)) & p102(X)))))) | (~((~p102(Y)) & p101(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p2(X)) & (~p102(X)) & p101(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p2(X) & (~p102(X)) & p101(X)))))) | (~((~p101(Y)) & p100(Y)))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))))))) & (~p101(X)) & p100(X)))))),
% 0.10/0.33 inference(rewrite,[status(thm)],[])).
% 0.10/0.33 tff(24,plain,
% 0.10/0.33 ((~(~?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)))))))) | (~(![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((((~![X: $i] : ((~r1(Y, X)) | (~((~p6(X)) & (~p106(X)) & p105(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p6(X) & (~p106(X)) & p105(X)))))) | (~((~p105(Y)) & p104(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p5(X)) & (~p105(X)) & p104(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p5(X) & (~p105(X)) & p104(X)))))) | (~((~p104(Y)) & p103(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p4(X)) & (~p104(X)) & p103(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p4(X) & (~p104(X)) & p103(X)))))) | (~((~p103(Y)) & p102(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p3(X)) & (~p103(X)) & p102(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p3(X) & (~p103(X)) & p102(X)))))) | (~((~p102(Y)) & p101(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p2(X)) & (~p102(X)) & p101(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p2(X) & (~p102(X)) & p101(X)))))) | (~((~p101(Y)) & p100(Y)))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))))))) & (~p101(X)) & p100(X))))))) <=> ?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)))))))) | (~(![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((((~![X: $i] : ((~r1(Y, X)) | (~((~p6(X)) & (~p106(X)) & p105(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p6(X) & (~p106(X)) & p105(X)))))) | (~((~p105(Y)) & p104(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p5(X)) & (~p105(X)) & p104(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p5(X) & (~p105(X)) & p104(X)))))) | (~((~p104(Y)) & p103(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p4(X)) & (~p104(X)) & p103(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p4(X) & (~p104(X)) & p103(X)))))) | (~((~p103(Y)) & p102(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p3(X)) & (~p103(X)) & p102(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p3(X) & (~p103(X)) & p102(X)))))) | (~((~p102(Y)) & p101(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p2(X)) & (~p102(X)) & p101(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p2(X) & (~p102(X)) & p101(X)))))) | (~((~p101(Y)) & p100(Y)))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))))))) & (~p101(X)) & p100(X)))))),
% 0.10/0.33 inference(rewrite,[status(thm)],[])).
% 0.10/0.33 tff(25,plain,
% 0.10/0.33 ((~?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y))))))) | (~((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((((((((((((((((((~![X: $i] : ((~r1(Y, X)) | (~(((~p6(X)) & (~p106(X))) & p105(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p6(X) & (~p106(X))) & p105(X)))))) | (~((~p105(Y)) & p104(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p5(X)) & (~p105(X))) & p104(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p5(X) & (~p105(X))) & p104(X)))))) | (~((~p104(Y)) & p103(Y))))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p4(X)) & (~p104(X))) & p103(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p4(X) & (~p104(X))) & p103(X)))))) | (~((~p103(Y)) & p102(Y))))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p3(X)) & (~p103(X))) & p102(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p3(X) & (~p103(X))) & p102(X)))))) | (~((~p102(Y)) & p101(Y))))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p2(X)) & (~p102(X))) & p101(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p2(X) & (~p102(X))) & p101(X)))))) | (~((~p101(Y)) & p100(Y))))) & (((![X: $i] : (((~r1(Y, X)) | (~p6(X))) | (~p105(X))) | p6(Y)) & (![X: $i] : (((~r1(Y, X)) | p6(X)) | (~p105(X))) | (~p6(Y)))) | (~p105(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p5(X))) | (~p104(X))) | p5(Y)) & (![X: $i] : (((~r1(Y, X)) | p5(X)) | (~p104(X))) | (~p5(Y)))) | (~p104(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p4(X))) | (~p103(X))) | p4(Y)) & (![X: $i] : (((~r1(Y, X)) | p4(X)) | (~p103(X))) | (~p4(Y)))) | (~p103(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p3(X))) | (~p102(X))) | p3(Y)) & (![X: $i] : (((~r1(Y, X)) | p3(X)) | (~p102(X))) | (~p3(Y)))) | (~p102(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p2(X))) | (~p101(X))) | p2(Y)) & (![X: $i] : (((~r1(Y, X)) | p2(X)) | (~p101(X))) | (~p2(Y)))) | (~p101(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p1(X))) | (~p100(X))) | p1(Y)) & (![X: $i] : (((~r1(Y, X)) | p1(X)) | (~p100(X))) | (~p1(Y)))) | (~p100(Y)))) & (p105(Y) | (~p106(Y)))) & (p104(Y) | (~p105(Y)))) & (p103(Y) | (~p104(Y)))) & (p102(Y) | (~p103(Y)))) & (p101(Y) | (~p102(Y)))) & (p100(Y) | (~p101(Y))))))))) & (~p101(X))) & p100(X)))))) <=> (~?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)))))))) | (~(![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((((~![X: $i] : ((~r1(Y, X)) | (~((~p6(X)) & (~p106(X)) & p105(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p6(X) & (~p106(X)) & p105(X)))))) | (~((~p105(Y)) & p104(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p5(X)) & (~p105(X)) & p104(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p5(X) & (~p105(X)) & p104(X)))))) | (~((~p104(Y)) & p103(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p4(X)) & (~p104(X)) & p103(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p4(X) & (~p104(X)) & p103(X)))))) | (~((~p103(Y)) & p102(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p3(X)) & (~p103(X)) & p102(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p3(X) & (~p103(X)) & p102(X)))))) | (~((~p102(Y)) & p101(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p2(X)) & (~p102(X)) & p101(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p2(X) & (~p102(X)) & p101(X)))))) | (~((~p101(Y)) & p100(Y)))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))))))) & (~p101(X)) & p100(X))))))),
% 0.10/0.33 inference(rewrite,[status(thm)],[])).
% 0.10/0.33 tff(26,plain,
% 0.10/0.33 ((~(~?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y))))))) | (~((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((((((((((((((((((~![X: $i] : ((~r1(Y, X)) | (~(((~p6(X)) & (~p106(X))) & p105(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p6(X) & (~p106(X))) & p105(X)))))) | (~((~p105(Y)) & p104(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p5(X)) & (~p105(X))) & p104(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p5(X) & (~p105(X))) & p104(X)))))) | (~((~p104(Y)) & p103(Y))))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p4(X)) & (~p104(X))) & p103(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p4(X) & (~p104(X))) & p103(X)))))) | (~((~p103(Y)) & p102(Y))))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p3(X)) & (~p103(X))) & p102(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p3(X) & (~p103(X))) & p102(X)))))) | (~((~p102(Y)) & p101(Y))))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p2(X)) & (~p102(X))) & p101(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p2(X) & (~p102(X))) & p101(X)))))) | (~((~p101(Y)) & p100(Y))))) & (((![X: $i] : (((~r1(Y, X)) | (~p6(X))) | (~p105(X))) | p6(Y)) & (![X: $i] : (((~r1(Y, X)) | p6(X)) | (~p105(X))) | (~p6(Y)))) | (~p105(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p5(X))) | (~p104(X))) | p5(Y)) & (![X: $i] : (((~r1(Y, X)) | p5(X)) | (~p104(X))) | (~p5(Y)))) | (~p104(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p4(X))) | (~p103(X))) | p4(Y)) & (![X: $i] : (((~r1(Y, X)) | p4(X)) | (~p103(X))) | (~p4(Y)))) | (~p103(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p3(X))) | (~p102(X))) | p3(Y)) & (![X: $i] : (((~r1(Y, X)) | p3(X)) | (~p102(X))) | (~p3(Y)))) | (~p102(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p2(X))) | (~p101(X))) | p2(Y)) & (![X: $i] : (((~r1(Y, X)) | p2(X)) | (~p101(X))) | (~p2(Y)))) | (~p101(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p1(X))) | (~p100(X))) | p1(Y)) & (![X: $i] : (((~r1(Y, X)) | p1(X)) | (~p100(X))) | (~p1(Y)))) | (~p100(Y)))) & (p105(Y) | (~p106(Y)))) & (p104(Y) | (~p105(Y)))) & (p103(Y) | (~p104(Y)))) & (p102(Y) | (~p103(Y)))) & (p101(Y) | (~p102(Y)))) & (p100(Y) | (~p101(Y))))))))) & (~p101(X))) & p100(X))))))) <=> (~(~?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)))))))) | (~(![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((((~![X: $i] : ((~r1(Y, X)) | (~((~p6(X)) & (~p106(X)) & p105(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p6(X) & (~p106(X)) & p105(X)))))) | (~((~p105(Y)) & p104(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p5(X)) & (~p105(X)) & p104(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p5(X) & (~p105(X)) & p104(X)))))) | (~((~p104(Y)) & p103(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p4(X)) & (~p104(X)) & p103(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p4(X) & (~p104(X)) & p103(X)))))) | (~((~p103(Y)) & p102(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p3(X)) & (~p103(X)) & p102(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p3(X) & (~p103(X)) & p102(X)))))) | (~((~p102(Y)) & p101(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p2(X)) & (~p102(X)) & p101(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p2(X) & (~p102(X)) & p101(X)))))) | (~((~p101(Y)) & p100(Y)))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))))))) & (~p101(X)) & p100(X)))))))),
% 0.10/0.33 inference(monotonicity,[status(thm)],[25])).
% 0.10/0.33 tff(27,plain,
% 0.10/0.33 ((~(~?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y))))))) | (~((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((((((((((((((((((~![X: $i] : ((~r1(Y, X)) | (~(((~p6(X)) & (~p106(X))) & p105(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p6(X) & (~p106(X))) & p105(X)))))) | (~((~p105(Y)) & p104(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p5(X)) & (~p105(X))) & p104(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p5(X) & (~p105(X))) & p104(X)))))) | (~((~p104(Y)) & p103(Y))))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p4(X)) & (~p104(X))) & p103(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p4(X) & (~p104(X))) & p103(X)))))) | (~((~p103(Y)) & p102(Y))))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p3(X)) & (~p103(X))) & p102(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p3(X) & (~p103(X))) & p102(X)))))) | (~((~p102(Y)) & p101(Y))))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p2(X)) & (~p102(X))) & p101(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p2(X) & (~p102(X))) & p101(X)))))) | (~((~p101(Y)) & p100(Y))))) & (((![X: $i] : (((~r1(Y, X)) | (~p6(X))) | (~p105(X))) | p6(Y)) & (![X: $i] : (((~r1(Y, X)) | p6(X)) | (~p105(X))) | (~p6(Y)))) | (~p105(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p5(X))) | (~p104(X))) | p5(Y)) & (![X: $i] : (((~r1(Y, X)) | p5(X)) | (~p104(X))) | (~p5(Y)))) | (~p104(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p4(X))) | (~p103(X))) | p4(Y)) & (![X: $i] : (((~r1(Y, X)) | p4(X)) | (~p103(X))) | (~p4(Y)))) | (~p103(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p3(X))) | (~p102(X))) | p3(Y)) & (![X: $i] : (((~r1(Y, X)) | p3(X)) | (~p102(X))) | (~p3(Y)))) | (~p102(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p2(X))) | (~p101(X))) | p2(Y)) & (![X: $i] : (((~r1(Y, X)) | p2(X)) | (~p101(X))) | (~p2(Y)))) | (~p101(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p1(X))) | (~p100(X))) | p1(Y)) & (![X: $i] : (((~r1(Y, X)) | p1(X)) | (~p100(X))) | (~p1(Y)))) | (~p100(Y)))) & (p105(Y) | (~p106(Y)))) & (p104(Y) | (~p105(Y)))) & (p103(Y) | (~p104(Y)))) & (p102(Y) | (~p103(Y)))) & (p101(Y) | (~p102(Y)))) & (p100(Y) | (~p101(Y))))))))) & (~p101(X))) & p100(X))))))) <=> ?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)))))))) | (~(![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((((~![X: $i] : ((~r1(Y, X)) | (~((~p6(X)) & (~p106(X)) & p105(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p6(X) & (~p106(X)) & p105(X)))))) | (~((~p105(Y)) & p104(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p5(X)) & (~p105(X)) & p104(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p5(X) & (~p105(X)) & p104(X)))))) | (~((~p104(Y)) & p103(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p4(X)) & (~p104(X)) & p103(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p4(X) & (~p104(X)) & p103(X)))))) | (~((~p103(Y)) & p102(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p3(X)) & (~p103(X)) & p102(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p3(X) & (~p103(X)) & p102(X)))))) | (~((~p102(Y)) & p101(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p2(X)) & (~p102(X)) & p101(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p2(X) & (~p102(X)) & p101(X)))))) | (~((~p101(Y)) & p100(Y)))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))))))) & (~p101(X)) & p100(X)))))),
% 0.10/0.33 inference(transitivity,[status(thm)],[26, 24])).
% 0.10/0.33 tff(28,axiom,(~(~?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y))))))) | (~((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((((((((((((((((((~![X: $i] : ((~r1(Y, X)) | (~(((~p6(X)) & (~p106(X))) & p105(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p6(X) & (~p106(X))) & p105(X)))))) | (~((~p105(Y)) & p104(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p5(X)) & (~p105(X))) & p104(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p5(X) & (~p105(X))) & p104(X)))))) | (~((~p104(Y)) & p103(Y))))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p4(X)) & (~p104(X))) & p103(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p4(X) & (~p104(X))) & p103(X)))))) | (~((~p103(Y)) & p102(Y))))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p3(X)) & (~p103(X))) & p102(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p3(X) & (~p103(X))) & p102(X)))))) | (~((~p102(Y)) & p101(Y))))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p2(X)) & (~p102(X))) & p101(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p2(X) & (~p102(X))) & p101(X)))))) | (~((~p101(Y)) & p100(Y))))) & (((![X: $i] : (((~r1(Y, X)) | (~p6(X))) | (~p105(X))) | p6(Y)) & (![X: $i] : (((~r1(Y, X)) | p6(X)) | (~p105(X))) | (~p6(Y)))) | (~p105(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p5(X))) | (~p104(X))) | p5(Y)) & (![X: $i] : (((~r1(Y, X)) | p5(X)) | (~p104(X))) | (~p5(Y)))) | (~p104(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p4(X))) | (~p103(X))) | p4(Y)) & (![X: $i] : (((~r1(Y, X)) | p4(X)) | (~p103(X))) | (~p4(Y)))) | (~p103(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p3(X))) | (~p102(X))) | p3(Y)) & (![X: $i] : (((~r1(Y, X)) | p3(X)) | (~p102(X))) | (~p3(Y)))) | (~p102(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p2(X))) | (~p101(X))) | p2(Y)) & (![X: $i] : (((~r1(Y, X)) | p2(X)) | (~p101(X))) | (~p2(Y)))) | (~p101(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p1(X))) | (~p100(X))) | p1(Y)) & (![X: $i] : (((~r1(Y, X)) | p1(X)) | (~p100(X))) | (~p1(Y)))) | (~p100(Y)))) & (p105(Y) | (~p106(Y)))) & (p104(Y) | (~p105(Y)))) & (p103(Y) | (~p104(Y)))) & (p102(Y) | (~p103(Y)))) & (p101(Y) | (~p102(Y)))) & (p100(Y) | (~p101(Y))))))))) & (~p101(X))) & p100(X))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','main')).
% 0.10/0.34 tff(29,plain,
% 0.10/0.34 (?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)))))))) | (~(![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((((~![X: $i] : ((~r1(Y, X)) | (~((~p6(X)) & (~p106(X)) & p105(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p6(X) & (~p106(X)) & p105(X)))))) | (~((~p105(Y)) & p104(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p5(X)) & (~p105(X)) & p104(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p5(X) & (~p105(X)) & p104(X)))))) | (~((~p104(Y)) & p103(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p4(X)) & (~p104(X)) & p103(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p4(X) & (~p104(X)) & p103(X)))))) | (~((~p103(Y)) & p102(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p3(X)) & (~p103(X)) & p102(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p3(X) & (~p103(X)) & p102(X)))))) | (~((~p102(Y)) & p101(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p2(X)) & (~p102(X)) & p101(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p2(X) & (~p102(X)) & p101(X)))))) | (~((~p101(Y)) & p100(Y)))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))))))) & (~p101(X)) & p100(X)))))),
% 0.10/0.34 inference(modus_ponens,[status(thm)],[28, 27])).
% 0.10/0.34 tff(30,plain,
% 0.10/0.34 (?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)))))))) | (~(![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((((~![X: $i] : ((~r1(Y, X)) | (~((~p6(X)) & (~p106(X)) & p105(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p6(X) & (~p106(X)) & p105(X)))))) | (~((~p105(Y)) & p104(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p5(X)) & (~p105(X)) & p104(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p5(X) & (~p105(X)) & p104(X)))))) | (~((~p104(Y)) & p103(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p4(X)) & (~p104(X)) & p103(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p4(X) & (~p104(X)) & p103(X)))))) | (~((~p103(Y)) & p102(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p3(X)) & (~p103(X)) & p102(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p3(X) & (~p103(X)) & p102(X)))))) | (~((~p102(Y)) & p101(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p2(X)) & (~p102(X)) & p101(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p2(X) & (~p102(X)) & p101(X)))))) | (~((~p101(Y)) & p100(Y)))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))))))) & (~p101(X)) & p100(X)))))),
% 0.10/0.34 inference(modus_ponens,[status(thm)],[29, 23])).
% 0.10/0.34 tff(31,plain,
% 0.10/0.34 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((~((~p105(Y)) & p104(Y))) | ((~((~r1(Y, tptp_fun_X_1(Y))) | (~((~p6(tptp_fun_X_1(Y))) & (~p106(tptp_fun_X_1(Y))) & p105(tptp_fun_X_1(Y)))))) & (~((~r1(Y, tptp_fun_X_2(Y))) | (~(p6(tptp_fun_X_2(Y)) & (~p106(tptp_fun_X_2(Y))) & p105(tptp_fun_X_2(Y)))))))) & ((~((~p104(Y)) & p103(Y))) | ((~((~r1(Y, tptp_fun_X_3(Y))) | (~((~p5(tptp_fun_X_3(Y))) & (~p105(tptp_fun_X_3(Y))) & p104(tptp_fun_X_3(Y)))))) & (~((~r1(Y, tptp_fun_X_4(Y))) | (~(p5(tptp_fun_X_4(Y)) & (~p105(tptp_fun_X_4(Y))) & p104(tptp_fun_X_4(Y)))))))) & (((~((~r1(Y, tptp_fun_X_5(Y))) | (~((~p4(tptp_fun_X_5(Y))) & (~p104(tptp_fun_X_5(Y))) & p103(tptp_fun_X_5(Y)))))) & (~((~r1(Y, tptp_fun_X_6(Y))) | (~(p4(tptp_fun_X_6(Y)) & (~p104(tptp_fun_X_6(Y))) & p103(tptp_fun_X_6(Y))))))) | (~((~p103(Y)) & p102(Y)))) & ((~((~p102(Y)) & p101(Y))) | ((~((~r1(Y, tptp_fun_X_7(Y))) | (~((~p3(tptp_fun_X_7(Y))) & (~p103(tptp_fun_X_7(Y))) & p102(tptp_fun_X_7(Y)))))) & (~((~r1(Y, tptp_fun_X_8(Y))) | (~(p3(tptp_fun_X_8(Y)) & (~p103(tptp_fun_X_8(Y))) & p102(tptp_fun_X_8(Y)))))))) & ((~((~p101(Y)) & p100(Y))) | ((~((~r1(Y, tptp_fun_X_9(Y))) | (~((~p2(tptp_fun_X_9(Y))) & (~p102(tptp_fun_X_9(Y))) & p101(tptp_fun_X_9(Y)))))) & (~((~r1(Y, tptp_fun_X_10(Y))) | (~(p2(tptp_fun_X_10(Y)) & (~p102(tptp_fun_X_10(Y))) & p101(tptp_fun_X_10(Y)))))))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))))))) & (~p101(X!0)) & p100(X!0)),
% 0.10/0.34 inference(modus_ponens,[status(thm)],[30, 22])).
% 0.10/0.34 tff(32,plain,
% 0.10/0.34 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((~((~p105(Y)) & p104(Y))) | ((~((~r1(Y, tptp_fun_X_1(Y))) | (~((~p6(tptp_fun_X_1(Y))) & (~p106(tptp_fun_X_1(Y))) & p105(tptp_fun_X_1(Y)))))) & (~((~r1(Y, tptp_fun_X_2(Y))) | (~(p6(tptp_fun_X_2(Y)) & (~p106(tptp_fun_X_2(Y))) & p105(tptp_fun_X_2(Y)))))))) & ((~((~p104(Y)) & p103(Y))) | ((~((~r1(Y, tptp_fun_X_3(Y))) | (~((~p5(tptp_fun_X_3(Y))) & (~p105(tptp_fun_X_3(Y))) & p104(tptp_fun_X_3(Y)))))) & (~((~r1(Y, tptp_fun_X_4(Y))) | (~(p5(tptp_fun_X_4(Y)) & (~p105(tptp_fun_X_4(Y))) & p104(tptp_fun_X_4(Y)))))))) & (((~((~r1(Y, tptp_fun_X_5(Y))) | (~((~p4(tptp_fun_X_5(Y))) & (~p104(tptp_fun_X_5(Y))) & p103(tptp_fun_X_5(Y)))))) & (~((~r1(Y, tptp_fun_X_6(Y))) | (~(p4(tptp_fun_X_6(Y)) & (~p104(tptp_fun_X_6(Y))) & p103(tptp_fun_X_6(Y))))))) | (~((~p103(Y)) & p102(Y)))) & ((~((~p102(Y)) & p101(Y))) | ((~((~r1(Y, tptp_fun_X_7(Y))) | (~((~p3(tptp_fun_X_7(Y))) & (~p103(tptp_fun_X_7(Y))) & p102(tptp_fun_X_7(Y)))))) & (~((~r1(Y, tptp_fun_X_8(Y))) | (~(p3(tptp_fun_X_8(Y)) & (~p103(tptp_fun_X_8(Y))) & p102(tptp_fun_X_8(Y)))))))) & ((~((~p101(Y)) & p100(Y))) | ((~((~r1(Y, tptp_fun_X_9(Y))) | (~((~p2(tptp_fun_X_9(Y))) & (~p102(tptp_fun_X_9(Y))) & p101(tptp_fun_X_9(Y)))))) & (~((~r1(Y, tptp_fun_X_10(Y))) | (~(p2(tptp_fun_X_10(Y)) & (~p102(tptp_fun_X_10(Y))) & p101(tptp_fun_X_10(Y)))))))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y)))))))))),
% 0.10/0.34 inference(and_elim,[status(thm)],[31])).
% 0.10/0.34 tff(33,plain,
% 0.10/0.34 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))))))))))),
% 0.10/0.34 inference(modus_ponens,[status(thm)],[32, 18])).
% 0.10/0.34 tff(34,plain,
% 0.10/0.34 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))))))))))),
% 0.10/0.34 inference(modus_ponens,[status(thm)],[33, 16])).
% 0.10/0.34 tff(35,plain,
% 0.10/0.34 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))))))),
% 0.10/0.34 inference(modus_ponens,[status(thm)],[34, 11])).
% 0.10/0.34 tff(36,plain,
% 0.10/0.34 (((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))))))) | ((~r1(X!0, X!0)) | ![X: $i] : ((~r1(X!0, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))))))) <=> ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))))))) | (~r1(X!0, X!0)) | ![X: $i] : ((~r1(X!0, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))))))),
% 0.10/0.34 inference(rewrite,[status(thm)],[])).
% 0.10/0.34 tff(37,plain,
% 0.10/0.34 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))))))) | ((~r1(X!0, X!0)) | ![X: $i] : ((~r1(X!0, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))))))),
% 0.10/0.34 inference(quant_inst,[status(thm)],[])).
% 0.10/0.34 tff(38,plain,
% 0.10/0.34 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))))))) | (~r1(X!0, X!0)) | ![X: $i] : ((~r1(X!0, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))))))))))))),
% 0.10/0.34 inference(modus_ponens,[status(thm)],[37, 36])).
% 0.10/0.34 tff(39,plain,
% 0.10/0.34 (![X: $i] : ((~r1(X!0, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))))))))))))),
% 0.10/0.34 inference(unit_resolution,[status(thm)],[38, 35, 9])).
% 0.10/0.34 tff(40,plain,
% 0.10/0.34 (((~![X: $i] : ((~r1(X!0, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))))))))))))) | ((~r1(X!0, X!0)) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))))))))))))) <=> ((~![X: $i] : ((~r1(X!0, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))))))))))))) | (~r1(X!0, X!0)) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))))))))))))),
% 0.10/0.35 inference(rewrite,[status(thm)],[])).
% 0.10/0.35 tff(41,plain,
% 0.10/0.35 ((~![X: $i] : ((~r1(X!0, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))))))))))))) | ((~r1(X!0, X!0)) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))))))))))))),
% 0.10/0.35 inference(quant_inst,[status(thm)],[])).
% 0.10/0.35 tff(42,plain,
% 0.10/0.35 ((~![X: $i] : ((~r1(X!0, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))))))))))))) | (~r1(X!0, X!0)) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))))),
% 0.10/0.35 inference(modus_ponens,[status(thm)],[41, 40])).
% 0.10/0.35 tff(43,plain,
% 0.10/0.35 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))))),
% 0.10/0.35 inference(unit_resolution,[status(thm)],[42, 9, 39])).
% 0.10/0.35 tff(44,plain,
% 0.10/0.35 (((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))))) | ((~r1(X!0, X!0)) | ![X: $i] : ((~r1(X!0, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))))) <=> ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))))) | (~r1(X!0, X!0)) | ![X: $i] : ((~r1(X!0, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))))),
% 0.10/0.35 inference(rewrite,[status(thm)],[])).
% 0.10/0.35 tff(45,plain,
% 0.10/0.35 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))))) | ((~r1(X!0, X!0)) | ![X: $i] : ((~r1(X!0, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))))),
% 0.10/0.35 inference(quant_inst,[status(thm)],[])).
% 0.10/0.35 tff(46,plain,
% 0.10/0.35 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))))) | (~r1(X!0, X!0)) | ![X: $i] : ((~r1(X!0, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))))))))))),
% 0.10/0.35 inference(modus_ponens,[status(thm)],[45, 44])).
% 0.10/0.35 tff(47,plain,
% 0.10/0.35 (![X: $i] : ((~r1(X!0, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))))))))))),
% 0.10/0.35 inference(unit_resolution,[status(thm)],[46, 9, 43])).
% 0.10/0.35 tff(48,plain,
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(~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] 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(~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))))))))))) <=> ((~![X: $i] : ((~r1(X!0, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | 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X)) | (~p100(X)) | p1(X))))))))))))) | (~r1(X!0, X!0)) | ![Y: $i] : ((~r1(X!0, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))))))))))),
% 0.10/0.35 inference(rewrite,[status(thm)],[])).
% 0.10/0.35 tff(49,plain,
% 0.10/0.35 ((~![X: $i] : ((~r1(X!0, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))))))))))) | ((~r1(X!0, X!0)) | ![Y: $i] : ((~r1(X!0, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))))))))))),
% 0.10/0.35 inference(quant_inst,[status(thm)],[])).
% 0.10/0.35 tff(50,plain,
% 0.10/0.35 ((~![X: $i] : ((~r1(X!0, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))))))))))) | (~r1(X!0, X!0)) | ![Y: $i] : ((~r1(X!0, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))),
% 0.10/0.36 inference(modus_ponens,[status(thm)],[49, 48])).
% 0.10/0.36 tff(51,plain,
% 0.10/0.36 (![Y: $i] : ((~r1(X!0, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))),
% 0.10/0.36 inference(unit_resolution,[status(thm)],[50, 9, 47])).
% 0.10/0.36 tff(52,plain,
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(~p101(tptp_fun_X_10(X!0))))))) | (~((~p105(X!0)) | (~((~(p6(X!0) | ![X: $i] : ((~p6(X)) | (~p105(X)) | (~r1(X!0, X))))) | (~((~p6(X!0)) | ![X: $i] : (p6(X) | (~p105(X)) | (~r1(X!0, X))))))))) | (~((~p104(X!0)) | (~((~(p5(X!0) | ![X: $i] : ((~p5(X)) | (~p104(X)) | (~r1(X!0, X))))) | (~((~p5(X!0)) | ![X: $i] : (p5(X) | (~p104(X)) | (~r1(X!0, X))))))))) | (~((~p103(X!0)) | (~((~(p4(X!0) | ![X: $i] : ((~p4(X)) | (~p103(X)) | (~r1(X!0, X))))) | (~((~p4(X!0)) | ![X: $i] : (p4(X) | (~p103(X)) | (~r1(X!0, X))))))))) | (~((~p102(X!0)) | (~((~(p3(X!0) | ![X: $i] : ((~p3(X)) | (~p102(X)) | (~r1(X!0, X))))) | (~((~p3(X!0)) | ![X: $i] : (p3(X) | (~p102(X)) | (~r1(X!0, X))))))))) | (~((~p101(X!0)) | (~((~(p2(X!0) | ![X: $i] : ((~p2(X)) | (~r1(X!0, X)) | (~p101(X))))) | (~((~p2(X!0)) | ![X: $i] : (p2(X) | (~r1(X!0, X)) | (~p101(X))))))))))))) <=> ((~![Y: $i] : ((~r1(X!0, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, 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p5(tptp_fun_X_3(X!0)) | p105(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))))) | (~(p103(X!0) | (~p102(X!0)) | (~((~p103(tptp_fun_X_6(X!0))) | p4(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))) | p104(tptp_fun_X_5(X!0)) | p104(tptp_fun_X_6(X!0)) | (~p4(tptp_fun_X_6(X!0))) | (~r1(X!0, tptp_fun_X_5(X!0))) | (~p103(tptp_fun_X_5(X!0))))))) | (~(p102(X!0) | (~p101(X!0)) | (~((~r1(X!0, tptp_fun_X_8(X!0))) | p103(tptp_fun_X_8(X!0)) | p103(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0))) | p3(tptp_fun_X_7(X!0)) | (~p3(tptp_fun_X_8(X!0))) | (~p102(tptp_fun_X_7(X!0))) | (~p102(tptp_fun_X_8(X!0))))))) | (~(p101(X!0) | (~p100(X!0)) | (~((~p101(tptp_fun_X_9(X!0))) | (~r1(X!0, tptp_fun_X_10(X!0))) | p102(tptp_fun_X_10(X!0)) | p102(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))) | p2(tptp_fun_X_9(X!0)) | (~p2(tptp_fun_X_10(X!0))) | (~p101(tptp_fun_X_10(X!0))))))) | (~((~p105(X!0)) | (~((~(p6(X!0) | ![X: $i] : ((~p6(X)) | (~p105(X)) | (~r1(X!0, X))))) | (~((~p6(X!0)) | ![X: $i] : (p6(X) | (~p105(X)) | (~r1(X!0, X))))))))) | (~((~p104(X!0)) | (~((~(p5(X!0) | ![X: $i] : ((~p5(X)) | (~p104(X)) | (~r1(X!0, X))))) | (~((~p5(X!0)) | ![X: $i] : (p5(X) | (~p104(X)) | (~r1(X!0, X))))))))) | (~((~p103(X!0)) | (~((~(p4(X!0) | ![X: $i] : ((~p4(X)) | (~p103(X)) | (~r1(X!0, X))))) | (~((~p4(X!0)) | ![X: $i] : (p4(X) | (~p103(X)) | (~r1(X!0, X))))))))) | (~((~p102(X!0)) | (~((~(p3(X!0) | ![X: $i] : ((~p3(X)) | (~p102(X)) | (~r1(X!0, X))))) | (~((~p3(X!0)) | ![X: $i] : (p3(X) | (~p102(X)) | (~r1(X!0, X))))))))) | (~((~p101(X!0)) | (~((~(p2(X!0) | ![X: $i] : ((~p2(X)) | (~r1(X!0, X)) | (~p101(X))))) | (~((~p2(X!0)) | ![X: $i] : (p2(X) | (~r1(X!0, X)) | (~p101(X))))))))))))),
% 0.10/0.36 inference(rewrite,[status(thm)],[])).
% 0.10/0.36 tff(53,plain,
% 0.10/0.36 (((~r1(X!0, X!0)) | (~((~(p105(X!0) | (~p104(X!0)) | (~(p106(tptp_fun_X_1(X!0)) | p6(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))) | (~r1(X!0, tptp_fun_X_2(X!0))) | p106(tptp_fun_X_2(X!0)) | (~p105(tptp_fun_X_1(X!0))) | (~p6(tptp_fun_X_2(X!0))) | (~p105(tptp_fun_X_2(X!0))))))) | (~(p104(X!0) | (~p103(X!0)) | (~(p105(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))) | (~r1(X!0, tptp_fun_X_3(X!0))) | p5(tptp_fun_X_3(X!0)) | p105(tptp_fun_X_4(X!0)) | (~p104(tptp_fun_X_3(X!0))) | (~p5(tptp_fun_X_4(X!0))) | (~p104(tptp_fun_X_4(X!0))))))) | (~(p103(X!0) | (~p102(X!0)) | (~((~r1(X!0, tptp_fun_X_5(X!0))) | p4(tptp_fun_X_5(X!0)) | p104(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))) | p104(tptp_fun_X_6(X!0)) | (~p103(tptp_fun_X_5(X!0))) | (~p4(tptp_fun_X_6(X!0))) | (~p103(tptp_fun_X_6(X!0))))))) | (~(p102(X!0) | (~p101(X!0)) | (~((~r1(X!0, tptp_fun_X_7(X!0))) | p3(tptp_fun_X_7(X!0)) | p103(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))) | p103(tptp_fun_X_8(X!0)) | (~p102(tptp_fun_X_7(X!0))) | (~p3(tptp_fun_X_8(X!0))) | (~p102(tptp_fun_X_8(X!0))))))) | (~(p101(X!0) | (~p100(X!0)) | (~((~r1(X!0, tptp_fun_X_9(X!0))) | p2(tptp_fun_X_9(X!0)) | p102(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))) | p102(tptp_fun_X_10(X!0)) | (~p101(tptp_fun_X_9(X!0))) | (~p2(tptp_fun_X_10(X!0))) | (~p101(tptp_fun_X_10(X!0))))))) | (~(p105(X!0) | (~p106(X!0)))) | (~(p104(X!0) | (~p105(X!0)))) | (~(p103(X!0) | (~p104(X!0)))) | (~(p102(X!0) | (~p103(X!0)))) | (~(p101(X!0) | (~p102(X!0)))) | (~(p100(X!0) | (~p101(X!0)))) | (~((~p105(X!0)) | (~((~(p6(X!0) | ![X: $i] : ((~r1(X!0, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(X!0)) | ![X: $i] : ((~r1(X!0, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(X!0)) | (~((~(p5(X!0) | ![X: $i] : ((~r1(X!0, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(X!0)) | ![X: $i] : ((~r1(X!0, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(X!0)) | (~((~(p4(X!0) | ![X: $i] : ((~r1(X!0, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(X!0)) | ![X: $i] : ((~r1(X!0, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(X!0)) | (~((~(p3(X!0) | ![X: $i] : ((~r1(X!0, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(X!0)) | ![X: $i] : (p3(X) | (~r1(X!0, X)) | (~p102(X))))))))) | (~((~p101(X!0)) | (~((~(p2(X!0) | ![X: $i] : ((~r1(X!0, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(X!0)) | ![X: $i] : ((~r1(X!0, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(X!0)) | (~((~(p1(X!0) | ![X: $i] : ((~r1(X!0, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(X!0)) | ![X: $i] : ((~r1(X!0, X)) | (~p100(X)) | p1(X))))))))))) <=> ((~r1(X!0, X!0)) | (~((~(p105(X!0) | (~p106(X!0)))) | (~(p103(X!0) | (~p104(X!0)))) | (~(p104(X!0) | (~p105(X!0)))) | (~(p102(X!0) | (~p103(X!0)))) | (~(p101(X!0) | (~p102(X!0)))) | (~(p100(X!0) | (~p101(X!0)))) | (~((~p100(X!0)) | (~((~(p1(X!0) | ![X: $i] : ((~r1(X!0, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(X!0)) | ![X: $i] : ((~r1(X!0, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(X!0) | (~p104(X!0)) | (~((~r1(X!0, tptp_fun_X_2(X!0))) | (~r1(X!0, tptp_fun_X_1(X!0))) | p106(tptp_fun_X_2(X!0)) | p106(tptp_fun_X_1(X!0)) | p6(tptp_fun_X_1(X!0)) | (~p105(tptp_fun_X_1(X!0))) | (~p6(tptp_fun_X_2(X!0))) | (~p105(tptp_fun_X_2(X!0))))))) | (~(p104(X!0) | (~p103(X!0)) | (~((~p5(tptp_fun_X_4(X!0))) | (~p104(tptp_fun_X_4(X!0))) | p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0))) | (~p104(tptp_fun_X_3(X!0))) | p5(tptp_fun_X_3(X!0)) | p105(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))))) | (~(p103(X!0) | (~p102(X!0)) | (~((~p103(tptp_fun_X_6(X!0))) | p4(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))) | p104(tptp_fun_X_5(X!0)) | p104(tptp_fun_X_6(X!0)) | (~p4(tptp_fun_X_6(X!0))) | (~r1(X!0, tptp_fun_X_5(X!0))) | (~p103(tptp_fun_X_5(X!0))))))) | (~(p102(X!0) | (~p101(X!0)) | (~((~r1(X!0, tptp_fun_X_8(X!0))) | p103(tptp_fun_X_8(X!0)) | p103(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0))) | p3(tptp_fun_X_7(X!0)) | (~p3(tptp_fun_X_8(X!0))) | (~p102(tptp_fun_X_7(X!0))) | (~p102(tptp_fun_X_8(X!0))))))) | (~(p101(X!0) | (~p100(X!0)) | (~((~p101(tptp_fun_X_9(X!0))) | (~r1(X!0, tptp_fun_X_10(X!0))) | p102(tptp_fun_X_10(X!0)) | p102(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))) | p2(tptp_fun_X_9(X!0)) | (~p2(tptp_fun_X_10(X!0))) | (~p101(tptp_fun_X_10(X!0))))))) | (~((~p105(X!0)) | (~((~(p6(X!0) | ![X: $i] : ((~p6(X)) | (~p105(X)) | (~r1(X!0, X))))) | (~((~p6(X!0)) | ![X: $i] : (p6(X) | (~p105(X)) | (~r1(X!0, X))))))))) | (~((~p104(X!0)) | (~((~(p5(X!0) | ![X: $i] : ((~p5(X)) | (~p104(X)) | (~r1(X!0, X))))) | (~((~p5(X!0)) | ![X: $i] : (p5(X) | (~p104(X)) | (~r1(X!0, X))))))))) | (~((~p103(X!0)) | (~((~(p4(X!0) | ![X: $i] : ((~p4(X)) | (~p103(X)) | (~r1(X!0, X))))) | (~((~p4(X!0)) | ![X: $i] : (p4(X) | (~p103(X)) | (~r1(X!0, X))))))))) | (~((~p102(X!0)) | (~((~(p3(X!0) | ![X: $i] : ((~p3(X)) | (~p102(X)) | (~r1(X!0, X))))) | (~((~p3(X!0)) | ![X: $i] : (p3(X) | (~p102(X)) | (~r1(X!0, X))))))))) | (~((~p101(X!0)) | (~((~(p2(X!0) | ![X: $i] : ((~p2(X)) | (~r1(X!0, X)) | (~p101(X))))) | (~((~p2(X!0)) | ![X: $i] : (p2(X) | (~r1(X!0, X)) | (~p101(X))))))))))))),
% 0.10/0.36 inference(rewrite,[status(thm)],[])).
% 0.10/0.36 tff(54,plain,
% 0.10/0.36 (((~![Y: $i] : ((~r1(X!0, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))) | ((~r1(X!0, X!0)) | (~((~(p105(X!0) | (~p104(X!0)) | (~(p106(tptp_fun_X_1(X!0)) | p6(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))) | (~r1(X!0, tptp_fun_X_2(X!0))) | p106(tptp_fun_X_2(X!0)) | (~p105(tptp_fun_X_1(X!0))) | (~p6(tptp_fun_X_2(X!0))) | (~p105(tptp_fun_X_2(X!0))))))) | (~(p104(X!0) | (~p103(X!0)) | (~(p105(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))) | (~r1(X!0, tptp_fun_X_3(X!0))) | p5(tptp_fun_X_3(X!0)) | p105(tptp_fun_X_4(X!0)) | (~p104(tptp_fun_X_3(X!0))) | (~p5(tptp_fun_X_4(X!0))) | (~p104(tptp_fun_X_4(X!0))))))) | (~(p103(X!0) | (~p102(X!0)) | (~((~r1(X!0, tptp_fun_X_5(X!0))) | p4(tptp_fun_X_5(X!0)) | p104(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))) | p104(tptp_fun_X_6(X!0)) | (~p103(tptp_fun_X_5(X!0))) | (~p4(tptp_fun_X_6(X!0))) | (~p103(tptp_fun_X_6(X!0))))))) | (~(p102(X!0) | (~p101(X!0)) | (~((~r1(X!0, tptp_fun_X_7(X!0))) | p3(tptp_fun_X_7(X!0)) | p103(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))) | p103(tptp_fun_X_8(X!0)) | (~p102(tptp_fun_X_7(X!0))) | (~p3(tptp_fun_X_8(X!0))) | (~p102(tptp_fun_X_8(X!0))))))) | (~(p101(X!0) | (~p100(X!0)) | (~((~r1(X!0, tptp_fun_X_9(X!0))) | p2(tptp_fun_X_9(X!0)) | p102(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))) | p102(tptp_fun_X_10(X!0)) | (~p101(tptp_fun_X_9(X!0))) | (~p2(tptp_fun_X_10(X!0))) | (~p101(tptp_fun_X_10(X!0))))))) | (~(p105(X!0) | (~p106(X!0)))) | (~(p104(X!0) | (~p105(X!0)))) | (~(p103(X!0) | (~p104(X!0)))) | (~(p102(X!0) | (~p103(X!0)))) | (~(p101(X!0) | (~p102(X!0)))) | (~(p100(X!0) | (~p101(X!0)))) | (~((~p105(X!0)) | (~((~(p6(X!0) | ![X: $i] : ((~r1(X!0, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(X!0)) | ![X: $i] : ((~r1(X!0, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(X!0)) | (~((~(p5(X!0) | ![X: $i] : ((~r1(X!0, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(X!0)) | ![X: $i] : ((~r1(X!0, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(X!0)) | (~((~(p4(X!0) | ![X: $i] : ((~r1(X!0, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(X!0)) | ![X: $i] : ((~r1(X!0, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(X!0)) | (~((~(p3(X!0) | ![X: $i] : ((~r1(X!0, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(X!0)) | ![X: $i] : (p3(X) | (~r1(X!0, X)) | (~p102(X))))))))) | (~((~p101(X!0)) | (~((~(p2(X!0) | ![X: $i] : ((~r1(X!0, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(X!0)) | ![X: $i] : ((~r1(X!0, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(X!0)) | (~((~(p1(X!0) | ![X: $i] : ((~r1(X!0, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(X!0)) | ![X: $i] : ((~r1(X!0, X)) | (~p100(X)) | p1(X)))))))))))) <=> ((~![Y: $i] : ((~r1(X!0, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))) | ((~r1(X!0, X!0)) | (~((~(p105(X!0) | (~p106(X!0)))) | (~(p103(X!0) | (~p104(X!0)))) | (~(p104(X!0) | (~p105(X!0)))) | (~(p102(X!0) | (~p103(X!0)))) | (~(p101(X!0) | (~p102(X!0)))) | (~(p100(X!0) | (~p101(X!0)))) | (~((~p100(X!0)) | (~((~(p1(X!0) | ![X: $i] : ((~r1(X!0, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(X!0)) | ![X: $i] : ((~r1(X!0, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(X!0) | (~p104(X!0)) | (~((~r1(X!0, tptp_fun_X_2(X!0))) | (~r1(X!0, tptp_fun_X_1(X!0))) | p106(tptp_fun_X_2(X!0)) | p106(tptp_fun_X_1(X!0)) | p6(tptp_fun_X_1(X!0)) | (~p105(tptp_fun_X_1(X!0))) | (~p6(tptp_fun_X_2(X!0))) | (~p105(tptp_fun_X_2(X!0))))))) | (~(p104(X!0) | (~p103(X!0)) | (~((~p5(tptp_fun_X_4(X!0))) | (~p104(tptp_fun_X_4(X!0))) | p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0))) | (~p104(tptp_fun_X_3(X!0))) | p5(tptp_fun_X_3(X!0)) | p105(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))))) | (~(p103(X!0) | (~p102(X!0)) | (~((~p103(tptp_fun_X_6(X!0))) | p4(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))) | p104(tptp_fun_X_5(X!0)) | p104(tptp_fun_X_6(X!0)) | (~p4(tptp_fun_X_6(X!0))) | (~r1(X!0, tptp_fun_X_5(X!0))) | (~p103(tptp_fun_X_5(X!0))))))) | (~(p102(X!0) | (~p101(X!0)) | (~((~r1(X!0, tptp_fun_X_8(X!0))) | p103(tptp_fun_X_8(X!0)) | p103(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0))) | p3(tptp_fun_X_7(X!0)) | (~p3(tptp_fun_X_8(X!0))) | (~p102(tptp_fun_X_7(X!0))) | (~p102(tptp_fun_X_8(X!0))))))) | (~(p101(X!0) | (~p100(X!0)) | (~((~p101(tptp_fun_X_9(X!0))) | (~r1(X!0, tptp_fun_X_10(X!0))) | p102(tptp_fun_X_10(X!0)) | p102(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))) | p2(tptp_fun_X_9(X!0)) | (~p2(tptp_fun_X_10(X!0))) | (~p101(tptp_fun_X_10(X!0))))))) | (~((~p105(X!0)) | (~((~(p6(X!0) | ![X: $i] : ((~p6(X)) | (~p105(X)) | (~r1(X!0, X))))) | (~((~p6(X!0)) | ![X: $i] : (p6(X) | (~p105(X)) | (~r1(X!0, X))))))))) | (~((~p104(X!0)) | (~((~(p5(X!0) | ![X: $i] : ((~p5(X)) | (~p104(X)) | (~r1(X!0, X))))) | (~((~p5(X!0)) | ![X: $i] : (p5(X) | (~p104(X)) | (~r1(X!0, X))))))))) | (~((~p103(X!0)) | (~((~(p4(X!0) | ![X: $i] : ((~p4(X)) | (~p103(X)) | (~r1(X!0, X))))) | (~((~p4(X!0)) | ![X: $i] : (p4(X) | (~p103(X)) | (~r1(X!0, X))))))))) | (~((~p102(X!0)) | (~((~(p3(X!0) | ![X: $i] : ((~p3(X)) | (~p102(X)) | (~r1(X!0, X))))) | (~((~p3(X!0)) | ![X: $i] : (p3(X) | (~p102(X)) | (~r1(X!0, X))))))))) | (~((~p101(X!0)) | (~((~(p2(X!0) | ![X: $i] : ((~p2(X)) | (~r1(X!0, X)) | (~p101(X))))) | (~((~p2(X!0)) | ![X: $i] : (p2(X) | (~r1(X!0, X)) | (~p101(X)))))))))))))),
% 0.10/0.37 inference(monotonicity,[status(thm)],[53])).
% 0.10/0.37 tff(55,plain,
% 0.10/0.37 (((~![Y: $i] : ((~r1(X!0, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))) | ((~r1(X!0, X!0)) | (~((~(p105(X!0) | (~p104(X!0)) | (~(p106(tptp_fun_X_1(X!0)) | p6(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))) | (~r1(X!0, tptp_fun_X_2(X!0))) | p106(tptp_fun_X_2(X!0)) | (~p105(tptp_fun_X_1(X!0))) | (~p6(tptp_fun_X_2(X!0))) | (~p105(tptp_fun_X_2(X!0))))))) | (~(p104(X!0) | (~p103(X!0)) | (~(p105(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))) | (~r1(X!0, tptp_fun_X_3(X!0))) | p5(tptp_fun_X_3(X!0)) | p105(tptp_fun_X_4(X!0)) | (~p104(tptp_fun_X_3(X!0))) | (~p5(tptp_fun_X_4(X!0))) | (~p104(tptp_fun_X_4(X!0))))))) | (~(p103(X!0) | (~p102(X!0)) | (~((~r1(X!0, tptp_fun_X_5(X!0))) | p4(tptp_fun_X_5(X!0)) | p104(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))) | p104(tptp_fun_X_6(X!0)) | (~p103(tptp_fun_X_5(X!0))) | (~p4(tptp_fun_X_6(X!0))) | (~p103(tptp_fun_X_6(X!0))))))) | (~(p102(X!0) | (~p101(X!0)) | (~((~r1(X!0, tptp_fun_X_7(X!0))) | p3(tptp_fun_X_7(X!0)) | p103(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))) | p103(tptp_fun_X_8(X!0)) | (~p102(tptp_fun_X_7(X!0))) | (~p3(tptp_fun_X_8(X!0))) | (~p102(tptp_fun_X_8(X!0))))))) | (~(p101(X!0) | (~p100(X!0)) | (~((~r1(X!0, tptp_fun_X_9(X!0))) | p2(tptp_fun_X_9(X!0)) | p102(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))) | p102(tptp_fun_X_10(X!0)) | (~p101(tptp_fun_X_9(X!0))) | (~p2(tptp_fun_X_10(X!0))) | (~p101(tptp_fun_X_10(X!0))))))) | (~(p105(X!0) | (~p106(X!0)))) | (~(p104(X!0) | (~p105(X!0)))) | (~(p103(X!0) | (~p104(X!0)))) | (~(p102(X!0) | (~p103(X!0)))) | (~(p101(X!0) | (~p102(X!0)))) | (~(p100(X!0) | (~p101(X!0)))) | (~((~p105(X!0)) | (~((~(p6(X!0) | ![X: $i] : ((~r1(X!0, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(X!0)) | ![X: $i] : ((~r1(X!0, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(X!0)) | (~((~(p5(X!0) | ![X: $i] : ((~r1(X!0, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(X!0)) | ![X: $i] : ((~r1(X!0, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(X!0)) | (~((~(p4(X!0) | ![X: $i] : ((~r1(X!0, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(X!0)) | ![X: $i] : ((~r1(X!0, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(X!0)) | (~((~(p3(X!0) | ![X: $i] : ((~r1(X!0, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(X!0)) | ![X: $i] : (p3(X) | (~r1(X!0, X)) | (~p102(X))))))))) | (~((~p101(X!0)) | (~((~(p2(X!0) | ![X: $i] : ((~r1(X!0, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(X!0)) | ![X: $i] : ((~r1(X!0, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(X!0)) | (~((~(p1(X!0) | ![X: $i] : ((~r1(X!0, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(X!0)) | ![X: $i] : ((~r1(X!0, X)) | (~p100(X)) | p1(X)))))))))))) <=> ((~![Y: $i] : ((~r1(X!0, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))) | (~r1(X!0, X!0)) | (~((~(p105(X!0) | (~p106(X!0)))) | (~(p103(X!0) | (~p104(X!0)))) | (~(p104(X!0) | (~p105(X!0)))) | (~(p102(X!0) | (~p103(X!0)))) | (~(p101(X!0) | (~p102(X!0)))) | (~(p100(X!0) | (~p101(X!0)))) | (~((~p100(X!0)) | (~((~(p1(X!0) | ![X: $i] : ((~r1(X!0, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(X!0)) | ![X: $i] : ((~r1(X!0, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(X!0) | (~p104(X!0)) | (~((~r1(X!0, tptp_fun_X_2(X!0))) | (~r1(X!0, tptp_fun_X_1(X!0))) | p106(tptp_fun_X_2(X!0)) | p106(tptp_fun_X_1(X!0)) | p6(tptp_fun_X_1(X!0)) | (~p105(tptp_fun_X_1(X!0))) | (~p6(tptp_fun_X_2(X!0))) | (~p105(tptp_fun_X_2(X!0))))))) | (~(p104(X!0) | (~p103(X!0)) | (~((~p5(tptp_fun_X_4(X!0))) | (~p104(tptp_fun_X_4(X!0))) | p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0))) | (~p104(tptp_fun_X_3(X!0))) | p5(tptp_fun_X_3(X!0)) | p105(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))))) | (~(p103(X!0) | (~p102(X!0)) | (~((~p103(tptp_fun_X_6(X!0))) | p4(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))) | p104(tptp_fun_X_5(X!0)) | p104(tptp_fun_X_6(X!0)) | (~p4(tptp_fun_X_6(X!0))) | (~r1(X!0, tptp_fun_X_5(X!0))) | (~p103(tptp_fun_X_5(X!0))))))) | (~(p102(X!0) | (~p101(X!0)) | (~((~r1(X!0, tptp_fun_X_8(X!0))) | p103(tptp_fun_X_8(X!0)) | p103(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0))) | p3(tptp_fun_X_7(X!0)) | (~p3(tptp_fun_X_8(X!0))) | (~p102(tptp_fun_X_7(X!0))) | (~p102(tptp_fun_X_8(X!0))))))) | (~(p101(X!0) | (~p100(X!0)) | (~((~p101(tptp_fun_X_9(X!0))) | (~r1(X!0, tptp_fun_X_10(X!0))) | p102(tptp_fun_X_10(X!0)) | p102(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))) | p2(tptp_fun_X_9(X!0)) | (~p2(tptp_fun_X_10(X!0))) | (~p101(tptp_fun_X_10(X!0))))))) | (~((~p105(X!0)) | (~((~(p6(X!0) | ![X: $i] : ((~p6(X)) | (~p105(X)) | (~r1(X!0, X))))) | (~((~p6(X!0)) | ![X: $i] : (p6(X) | (~p105(X)) | (~r1(X!0, X))))))))) | (~((~p104(X!0)) | (~((~(p5(X!0) | ![X: $i] : ((~p5(X)) | (~p104(X)) | (~r1(X!0, X))))) | (~((~p5(X!0)) | ![X: $i] : (p5(X) | (~p104(X)) | (~r1(X!0, X))))))))) | (~((~p103(X!0)) | (~((~(p4(X!0) | ![X: $i] : ((~p4(X)) | (~p103(X)) | (~r1(X!0, X))))) | (~((~p4(X!0)) | ![X: $i] : (p4(X) | (~p103(X)) | (~r1(X!0, X))))))))) | (~((~p102(X!0)) | (~((~(p3(X!0) | ![X: $i] : ((~p3(X)) | (~p102(X)) | (~r1(X!0, X))))) | (~((~p3(X!0)) | ![X: $i] : (p3(X) | (~p102(X)) | (~r1(X!0, X))))))))) | (~((~p101(X!0)) | (~((~(p2(X!0) | ![X: $i] : ((~p2(X)) | (~r1(X!0, X)) | (~p101(X))))) | (~((~p2(X!0)) | ![X: $i] : (p2(X) | (~r1(X!0, X)) | (~p101(X))))))))))))),
% 0.10/0.37 inference(transitivity,[status(thm)],[54, 52])).
% 0.10/0.37 tff(56,plain,
% 0.10/0.37 ((~![Y: $i] : ((~r1(X!0, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))) | ((~r1(X!0, X!0)) | (~((~(p105(X!0) | (~p104(X!0)) | (~(p106(tptp_fun_X_1(X!0)) | p6(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))) | (~r1(X!0, tptp_fun_X_2(X!0))) | p106(tptp_fun_X_2(X!0)) | (~p105(tptp_fun_X_1(X!0))) | (~p6(tptp_fun_X_2(X!0))) | (~p105(tptp_fun_X_2(X!0))))))) | (~(p104(X!0) | (~p103(X!0)) | (~(p105(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))) | (~r1(X!0, tptp_fun_X_3(X!0))) | p5(tptp_fun_X_3(X!0)) | p105(tptp_fun_X_4(X!0)) | (~p104(tptp_fun_X_3(X!0))) | (~p5(tptp_fun_X_4(X!0))) | (~p104(tptp_fun_X_4(X!0))))))) | (~(p103(X!0) | (~p102(X!0)) | (~((~r1(X!0, tptp_fun_X_5(X!0))) | p4(tptp_fun_X_5(X!0)) | p104(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))) | p104(tptp_fun_X_6(X!0)) | (~p103(tptp_fun_X_5(X!0))) | (~p4(tptp_fun_X_6(X!0))) | (~p103(tptp_fun_X_6(X!0))))))) | (~(p102(X!0) | (~p101(X!0)) | (~((~r1(X!0, tptp_fun_X_7(X!0))) | p3(tptp_fun_X_7(X!0)) | p103(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))) | p103(tptp_fun_X_8(X!0)) | (~p102(tptp_fun_X_7(X!0))) | (~p3(tptp_fun_X_8(X!0))) | (~p102(tptp_fun_X_8(X!0))))))) | (~(p101(X!0) | (~p100(X!0)) | (~((~r1(X!0, tptp_fun_X_9(X!0))) | p2(tptp_fun_X_9(X!0)) | p102(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))) | p102(tptp_fun_X_10(X!0)) | (~p101(tptp_fun_X_9(X!0))) | (~p2(tptp_fun_X_10(X!0))) | (~p101(tptp_fun_X_10(X!0))))))) | (~(p105(X!0) | (~p106(X!0)))) | (~(p104(X!0) | (~p105(X!0)))) | (~(p103(X!0) | (~p104(X!0)))) | (~(p102(X!0) | (~p103(X!0)))) | (~(p101(X!0) | (~p102(X!0)))) | (~(p100(X!0) | (~p101(X!0)))) | (~((~p105(X!0)) | (~((~(p6(X!0) | ![X: $i] : ((~r1(X!0, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(X!0)) | ![X: $i] : ((~r1(X!0, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(X!0)) | (~((~(p5(X!0) | ![X: $i] : ((~r1(X!0, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(X!0)) | ![X: $i] : ((~r1(X!0, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(X!0)) | (~((~(p4(X!0) | ![X: $i] : ((~r1(X!0, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(X!0)) | ![X: $i] : ((~r1(X!0, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(X!0)) | (~((~(p3(X!0) | ![X: $i] : ((~r1(X!0, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(X!0)) | ![X: $i] : (p3(X) | (~r1(X!0, X)) | (~p102(X))))))))) | (~((~p101(X!0)) | (~((~(p2(X!0) | ![X: $i] : ((~r1(X!0, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(X!0)) | ![X: $i] : ((~r1(X!0, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(X!0)) | (~((~(p1(X!0) | ![X: $i] : ((~r1(X!0, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(X!0)) | ![X: $i] : ((~r1(X!0, X)) | (~p100(X)) | p1(X)))))))))))),
% 0.10/0.38 inference(quant_inst,[status(thm)],[])).
% 0.10/0.38 tff(57,plain,
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% 0.10/0.38 inference(modus_ponens,[status(thm)],[56, 55])).
% 0.10/0.38 tff(58,plain,
% 0.10/0.38 (~((~(p105(X!0) | (~p106(X!0)))) | (~(p103(X!0) | (~p104(X!0)))) | (~(p104(X!0) | (~p105(X!0)))) | (~(p102(X!0) | (~p103(X!0)))) | (~(p101(X!0) | (~p102(X!0)))) | (~(p100(X!0) | (~p101(X!0)))) | (~((~p100(X!0)) | (~((~(p1(X!0) | ![X: $i] : ((~r1(X!0, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(X!0)) | ![X: $i] : ((~r1(X!0, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(X!0) | (~p104(X!0)) | (~((~r1(X!0, tptp_fun_X_2(X!0))) | (~r1(X!0, tptp_fun_X_1(X!0))) | p106(tptp_fun_X_2(X!0)) | p106(tptp_fun_X_1(X!0)) | p6(tptp_fun_X_1(X!0)) | (~p105(tptp_fun_X_1(X!0))) | (~p6(tptp_fun_X_2(X!0))) | (~p105(tptp_fun_X_2(X!0))))))) | (~(p104(X!0) | (~p103(X!0)) | (~((~p5(tptp_fun_X_4(X!0))) | (~p104(tptp_fun_X_4(X!0))) | p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0))) | (~p104(tptp_fun_X_3(X!0))) | p5(tptp_fun_X_3(X!0)) | p105(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))))) | (~(p103(X!0) | (~p102(X!0)) | (~((~p103(tptp_fun_X_6(X!0))) | p4(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))) | p104(tptp_fun_X_5(X!0)) | p104(tptp_fun_X_6(X!0)) | (~p4(tptp_fun_X_6(X!0))) | (~r1(X!0, tptp_fun_X_5(X!0))) | (~p103(tptp_fun_X_5(X!0))))))) | (~(p102(X!0) | (~p101(X!0)) | (~((~r1(X!0, tptp_fun_X_8(X!0))) | p103(tptp_fun_X_8(X!0)) | p103(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0))) | p3(tptp_fun_X_7(X!0)) | (~p3(tptp_fun_X_8(X!0))) | (~p102(tptp_fun_X_7(X!0))) | (~p102(tptp_fun_X_8(X!0))))))) | (~(p101(X!0) | (~p100(X!0)) | (~((~p101(tptp_fun_X_9(X!0))) | (~r1(X!0, tptp_fun_X_10(X!0))) | p102(tptp_fun_X_10(X!0)) | p102(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))) | p2(tptp_fun_X_9(X!0)) | (~p2(tptp_fun_X_10(X!0))) | (~p101(tptp_fun_X_10(X!0))))))) | (~((~p105(X!0)) | (~((~(p6(X!0) | ![X: $i] : ((~p6(X)) | (~p105(X)) | (~r1(X!0, X))))) | (~((~p6(X!0)) | ![X: $i] : (p6(X) | (~p105(X)) | (~r1(X!0, X))))))))) | (~((~p104(X!0)) | (~((~(p5(X!0) | ![X: $i] : ((~p5(X)) | (~p104(X)) | (~r1(X!0, X))))) | (~((~p5(X!0)) | ![X: $i] : (p5(X) | (~p104(X)) | (~r1(X!0, X))))))))) | (~((~p103(X!0)) | (~((~(p4(X!0) | ![X: $i] : ((~p4(X)) | (~p103(X)) | (~r1(X!0, X))))) | (~((~p4(X!0)) | ![X: $i] : (p4(X) | (~p103(X)) | (~r1(X!0, X))))))))) | (~((~p102(X!0)) | (~((~(p3(X!0) | ![X: $i] : ((~p3(X)) | (~p102(X)) | (~r1(X!0, X))))) | (~((~p3(X!0)) | ![X: $i] : (p3(X) | (~p102(X)) | (~r1(X!0, X))))))))) | (~((~p101(X!0)) | (~((~(p2(X!0) | ![X: $i] : ((~p2(X)) | (~r1(X!0, X)) | (~p101(X))))) | (~((~p2(X!0)) | ![X: $i] : (p2(X) | (~r1(X!0, X)) | (~p101(X))))))))))),
% 0.10/0.38 inference(unit_resolution,[status(thm)],[57, 9, 51])).
% 0.10/0.38 tff(59,plain,
% 0.10/0.38 (((~(p105(X!0) | (~p106(X!0)))) | (~(p103(X!0) | (~p104(X!0)))) | (~(p104(X!0) | (~p105(X!0)))) | (~(p102(X!0) | (~p103(X!0)))) | (~(p101(X!0) | (~p102(X!0)))) | (~(p100(X!0) | (~p101(X!0)))) | (~((~p100(X!0)) | (~((~(p1(X!0) | ![X: $i] : ((~r1(X!0, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(X!0)) | ![X: $i] : ((~r1(X!0, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(X!0) | (~p104(X!0)) | (~((~r1(X!0, tptp_fun_X_2(X!0))) | (~r1(X!0, tptp_fun_X_1(X!0))) | p106(tptp_fun_X_2(X!0)) | p106(tptp_fun_X_1(X!0)) | p6(tptp_fun_X_1(X!0)) | (~p105(tptp_fun_X_1(X!0))) | (~p6(tptp_fun_X_2(X!0))) | (~p105(tptp_fun_X_2(X!0))))))) | (~(p104(X!0) | (~p103(X!0)) | (~((~p5(tptp_fun_X_4(X!0))) | (~p104(tptp_fun_X_4(X!0))) | p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0))) | (~p104(tptp_fun_X_3(X!0))) | p5(tptp_fun_X_3(X!0)) | p105(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))))) | (~(p103(X!0) | (~p102(X!0)) | (~((~p103(tptp_fun_X_6(X!0))) | p4(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))) | p104(tptp_fun_X_5(X!0)) | p104(tptp_fun_X_6(X!0)) | (~p4(tptp_fun_X_6(X!0))) | (~r1(X!0, tptp_fun_X_5(X!0))) | (~p103(tptp_fun_X_5(X!0))))))) | (~(p102(X!0) | (~p101(X!0)) | (~((~r1(X!0, tptp_fun_X_8(X!0))) | p103(tptp_fun_X_8(X!0)) | p103(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0))) | p3(tptp_fun_X_7(X!0)) | (~p3(tptp_fun_X_8(X!0))) | (~p102(tptp_fun_X_7(X!0))) | (~p102(tptp_fun_X_8(X!0))))))) | (~(p101(X!0) | (~p100(X!0)) | (~((~p101(tptp_fun_X_9(X!0))) | (~r1(X!0, tptp_fun_X_10(X!0))) | p102(tptp_fun_X_10(X!0)) | p102(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))) | p2(tptp_fun_X_9(X!0)) | (~p2(tptp_fun_X_10(X!0))) | (~p101(tptp_fun_X_10(X!0))))))) | (~((~p105(X!0)) | (~((~(p6(X!0) | ![X: $i] : ((~p6(X)) | (~p105(X)) | (~r1(X!0, X))))) | (~((~p6(X!0)) | ![X: $i] : (p6(X) | (~p105(X)) | (~r1(X!0, X))))))))) | (~((~p104(X!0)) | (~((~(p5(X!0) | ![X: $i] : ((~p5(X)) | (~p104(X)) | (~r1(X!0, X))))) | (~((~p5(X!0)) | ![X: $i] : (p5(X) | (~p104(X)) | (~r1(X!0, X))))))))) | (~((~p103(X!0)) | (~((~(p4(X!0) | ![X: $i] : ((~p4(X)) | (~p103(X)) | (~r1(X!0, X))))) | (~((~p4(X!0)) | ![X: $i] : (p4(X) | (~p103(X)) | (~r1(X!0, X))))))))) | (~((~p102(X!0)) | (~((~(p3(X!0) | ![X: $i] : ((~p3(X)) | (~p102(X)) | (~r1(X!0, X))))) | (~((~p3(X!0)) | ![X: $i] : (p3(X) | (~p102(X)) | (~r1(X!0, X))))))))) | (~((~p101(X!0)) | (~((~(p2(X!0) | ![X: $i] : ((~p2(X)) | (~r1(X!0, X)) | (~p101(X))))) | (~((~p2(X!0)) | ![X: $i] : (p2(X) | (~r1(X!0, X)) | (~p101(X)))))))))) | (p101(X!0) | (~p100(X!0)) | (~((~p101(tptp_fun_X_9(X!0))) | (~r1(X!0, tptp_fun_X_10(X!0))) | p102(tptp_fun_X_10(X!0)) | p102(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))) | p2(tptp_fun_X_9(X!0)) | (~p2(tptp_fun_X_10(X!0))) | (~p101(tptp_fun_X_10(X!0))))))),
% 0.10/0.38 inference(tautology,[status(thm)],[])).
% 0.10/0.38 tff(60,plain,
% 0.10/0.38 (p101(X!0) | (~p100(X!0)) | (~((~p101(tptp_fun_X_9(X!0))) | (~r1(X!0, tptp_fun_X_10(X!0))) | p102(tptp_fun_X_10(X!0)) | p102(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))) | p2(tptp_fun_X_9(X!0)) | (~p2(tptp_fun_X_10(X!0))) | (~p101(tptp_fun_X_10(X!0)))))),
% 0.10/0.38 inference(unit_resolution,[status(thm)],[59, 58])).
% 0.10/0.38 tff(61,plain,
% 0.10/0.38 (p100(X!0)),
% 0.10/0.38 inference(and_elim,[status(thm)],[31])).
% 0.10/0.38 tff(62,plain,
% 0.10/0.38 (~p101(X!0)),
% 0.10/0.38 inference(and_elim,[status(thm)],[31])).
% 0.10/0.38 tff(63,plain,
% 0.10/0.38 ((~(p101(X!0) | (~p100(X!0)) | (~((~p101(tptp_fun_X_9(X!0))) | (~r1(X!0, tptp_fun_X_10(X!0))) | p102(tptp_fun_X_10(X!0)) | p102(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))) | p2(tptp_fun_X_9(X!0)) | (~p2(tptp_fun_X_10(X!0))) | (~p101(tptp_fun_X_10(X!0))))))) | p101(X!0) | (~p100(X!0)) | (~((~p101(tptp_fun_X_9(X!0))) | (~r1(X!0, tptp_fun_X_10(X!0))) | p102(tptp_fun_X_10(X!0)) | p102(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))) | p2(tptp_fun_X_9(X!0)) | (~p2(tptp_fun_X_10(X!0))) | (~p101(tptp_fun_X_10(X!0)))))),
% 0.10/0.38 inference(tautology,[status(thm)],[])).
% 0.10/0.38 tff(64,plain,
% 0.10/0.38 ((~(p101(X!0) | (~p100(X!0)) | (~((~p101(tptp_fun_X_9(X!0))) | (~r1(X!0, tptp_fun_X_10(X!0))) | p102(tptp_fun_X_10(X!0)) | p102(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))) | p2(tptp_fun_X_9(X!0)) | (~p2(tptp_fun_X_10(X!0))) | (~p101(tptp_fun_X_10(X!0))))))) | (~((~p101(tptp_fun_X_9(X!0))) | (~r1(X!0, tptp_fun_X_10(X!0))) | p102(tptp_fun_X_10(X!0)) | p102(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))) | p2(tptp_fun_X_9(X!0)) | (~p2(tptp_fun_X_10(X!0))) | (~p101(tptp_fun_X_10(X!0)))))),
% 0.10/0.38 inference(unit_resolution,[status(thm)],[63, 62, 61])).
% 0.10/0.38 tff(65,plain,
% 0.10/0.38 (~((~p101(tptp_fun_X_9(X!0))) | (~r1(X!0, tptp_fun_X_10(X!0))) | p102(tptp_fun_X_10(X!0)) | p102(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))) | p2(tptp_fun_X_9(X!0)) | (~p2(tptp_fun_X_10(X!0))) | (~p101(tptp_fun_X_10(X!0))))),
% 0.10/0.38 inference(unit_resolution,[status(thm)],[64, 60])).
% 0.10/0.38 tff(66,plain,
% 0.10/0.38 (((~p101(tptp_fun_X_9(X!0))) | (~r1(X!0, tptp_fun_X_10(X!0))) | p102(tptp_fun_X_10(X!0)) | p102(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))) | p2(tptp_fun_X_9(X!0)) | (~p2(tptp_fun_X_10(X!0))) | (~p101(tptp_fun_X_10(X!0)))) | r1(X!0, tptp_fun_X_9(X!0))),
% 0.10/0.39 inference(tautology,[status(thm)],[])).
% 0.10/0.39 tff(67,plain,
% 0.10/0.39 (r1(X!0, tptp_fun_X_9(X!0))),
% 0.10/0.39 inference(unit_resolution,[status(thm)],[66, 65])).
% 0.10/0.39 tff(68,plain,
% 0.10/0.39 (^[Y: $i] : refl(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))))))),
% 0.10/0.39 inference(bind,[status(th)],[])).
% 0.10/0.39 tff(69,plain,
% 0.10/0.39 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)))))))),
% 0.10/0.39 inference(quant_intro,[status(thm)],[68])).
% 0.10/0.39 tff(70,plain,
% 0.10/0.39 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))))))),
% 0.10/0.39 inference(bind,[status(th)],[])).
% 0.10/0.39 tff(71,plain,
% 0.10/0.39 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)))))))),
% 0.10/0.39 inference(quant_intro,[status(thm)],[70])).
% 0.10/0.39 tff(72,plain,
% 0.10/0.39 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)))))))),
% 0.10/0.39 inference(transitivity,[status(thm)],[71, 69])).
% 0.10/0.39 tff(73,plain,
% 0.10/0.39 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)))))))),
% 0.10/0.39 inference(and_elim,[status(thm)],[31])).
% 0.10/0.39 tff(74,plain,
% 0.10/0.39 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)))))))),
% 0.10/0.39 inference(modus_ponens,[status(thm)],[73, 72])).
% 0.10/0.39 tff(75,plain,
% 0.10/0.39 (((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)))))))) | ((~r1(X!0, X!0)) | ![X: $i] : ((~r1(X!0, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)))))))) <=> ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)))))))) | (~r1(X!0, X!0)) | ![X: $i] : ((~r1(X!0, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)))))))),
% 0.10/0.39 inference(rewrite,[status(thm)],[])).
% 0.10/0.39 tff(76,plain,
% 0.10/0.39 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)))))))) | ((~r1(X!0, X!0)) | ![X: $i] : ((~r1(X!0, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)))))))),
% 0.10/0.39 inference(quant_inst,[status(thm)],[])).
% 0.10/0.39 tff(77,plain,
% 0.10/0.39 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)))))))) | (~r1(X!0, X!0)) | ![X: $i] : ((~r1(X!0, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))))),
% 0.10/0.39 inference(modus_ponens,[status(thm)],[76, 75])).
% 0.10/0.39 tff(78,plain,
% 0.10/0.39 (![X: $i] : ((~r1(X!0, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))))),
% 0.10/0.39 inference(unit_resolution,[status(thm)],[77, 74, 9])).
% 0.10/0.39 tff(79,plain,
% 0.10/0.39 (((~![X: $i] : ((~r1(X!0, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))))) | ((~r1(X!0, X!0)) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))))) <=> ((~![X: $i] : ((~r1(X!0, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))))) | (~r1(X!0, X!0)) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))))),
% 0.10/0.39 inference(rewrite,[status(thm)],[])).
% 0.10/0.39 tff(80,plain,
% 0.10/0.39 ((~![X: $i] : ((~r1(X!0, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))))) | ((~r1(X!0, X!0)) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))))),
% 0.10/0.39 inference(quant_inst,[status(thm)],[])).
% 0.10/0.39 tff(81,plain,
% 0.10/0.39 ((~![X: $i] : ((~r1(X!0, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))))) | (~r1(X!0, X!0)) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)))))),
% 0.10/0.39 inference(modus_ponens,[status(thm)],[80, 79])).
% 0.10/0.39 tff(82,plain,
% 0.10/0.39 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)))))),
% 0.10/0.39 inference(unit_resolution,[status(thm)],[81, 9, 78])).
% 0.10/0.39 tff(83,plain,
% 0.10/0.39 (((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)))))) | ((~r1(X!0, X!0)) | ![X: $i] : ((~r1(X!0, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)))))) <=> ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)))))) | (~r1(X!0, X!0)) | ![X: $i] : ((~r1(X!0, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)))))),
% 0.10/0.39 inference(rewrite,[status(thm)],[])).
% 0.10/0.39 tff(84,plain,
% 0.10/0.39 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)))))) | ((~r1(X!0, X!0)) | ![X: $i] : ((~r1(X!0, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)))))),
% 0.10/0.39 inference(quant_inst,[status(thm)],[])).
% 0.10/0.39 tff(85,plain,
% 0.10/0.39 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)))))) | (~r1(X!0, X!0)) | ![X: $i] : ((~r1(X!0, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))),
% 0.10/0.39 inference(modus_ponens,[status(thm)],[84, 83])).
% 0.10/0.39 tff(86,plain,
% 0.10/0.39 (![X: $i] : ((~r1(X!0, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))),
% 0.10/0.39 inference(unit_resolution,[status(thm)],[85, 9, 82])).
% 0.10/0.39 tff(87,plain,
% 0.10/0.39 (((~![X: $i] : ((~r1(X!0, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))) | ((~r1(X!0, tptp_fun_X_9(X!0))) | ![Y: $i] : (p3(Y) | (~r1(tptp_fun_X_9(X!0), Y))))) <=> ((~![X: $i] : ((~r1(X!0, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))) | (~r1(X!0, tptp_fun_X_9(X!0))) | ![Y: $i] : (p3(Y) | (~r1(tptp_fun_X_9(X!0), Y))))),
% 0.10/0.39 inference(rewrite,[status(thm)],[])).
% 0.10/0.39 tff(88,plain,
% 0.10/0.39 ((~![X: $i] : ((~r1(X!0, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))) | ((~r1(X!0, tptp_fun_X_9(X!0))) | ![Y: $i] : (p3(Y) | (~r1(tptp_fun_X_9(X!0), Y))))),
% 0.10/0.39 inference(quant_inst,[status(thm)],[])).
% 0.10/0.39 tff(89,plain,
% 0.10/0.39 ((~![X: $i] : ((~r1(X!0, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))) | (~r1(X!0, tptp_fun_X_9(X!0))) | ![Y: $i] : (p3(Y) | (~r1(tptp_fun_X_9(X!0), Y)))),
% 0.10/0.39 inference(modus_ponens,[status(thm)],[88, 87])).
% 0.10/0.39 tff(90,plain,
% 0.10/0.39 (![Y: $i] : (p3(Y) | (~r1(tptp_fun_X_9(X!0), Y)))),
% 0.10/0.39 inference(unit_resolution,[status(thm)],[89, 86, 67])).
% 0.10/0.39 tff(91,plain,
% 0.10/0.39 (((~![Y: $i] : ((~r1(X!0, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))) | ((~r1(X!0, tptp_fun_X_9(X!0))) | (~((~(p105(tptp_fun_X_9(X!0)) | (~p104(tptp_fun_X_9(X!0))) | (~(p106(tptp_fun_X_1(tptp_fun_X_9(X!0))) | p6(tptp_fun_X_1(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_1(tptp_fun_X_9(X!0)))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_2(tptp_fun_X_9(X!0)))) | p106(tptp_fun_X_2(tptp_fun_X_9(X!0))) | (~p105(tptp_fun_X_1(tptp_fun_X_9(X!0)))) | (~p6(tptp_fun_X_2(tptp_fun_X_9(X!0)))) | (~p105(tptp_fun_X_2(tptp_fun_X_9(X!0)))))))) | (~(p104(tptp_fun_X_9(X!0)) | (~p103(tptp_fun_X_9(X!0))) | (~(p105(tptp_fun_X_3(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_4(tptp_fun_X_9(X!0)))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_3(tptp_fun_X_9(X!0)))) | p5(tptp_fun_X_3(tptp_fun_X_9(X!0))) | p105(tptp_fun_X_4(tptp_fun_X_9(X!0))) | (~p104(tptp_fun_X_3(tptp_fun_X_9(X!0)))) | (~p5(tptp_fun_X_4(tptp_fun_X_9(X!0)))) | (~p104(tptp_fun_X_4(tptp_fun_X_9(X!0)))))))) | (~(p103(tptp_fun_X_9(X!0)) | (~p102(tptp_fun_X_9(X!0))) | (~((~r1(tptp_fun_X_9(X!0), tptp_fun_X_5(tptp_fun_X_9(X!0)))) | p4(tptp_fun_X_5(tptp_fun_X_9(X!0))) | p104(tptp_fun_X_5(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_6(tptp_fun_X_9(X!0)))) | p104(tptp_fun_X_6(tptp_fun_X_9(X!0))) | (~p103(tptp_fun_X_5(tptp_fun_X_9(X!0)))) | (~p4(tptp_fun_X_6(tptp_fun_X_9(X!0)))) | (~p103(tptp_fun_X_6(tptp_fun_X_9(X!0)))))))) | (~(p102(tptp_fun_X_9(X!0)) | (~p101(tptp_fun_X_9(X!0))) | (~((~r1(tptp_fun_X_9(X!0), tptp_fun_X_7(tptp_fun_X_9(X!0)))) | p3(tptp_fun_X_7(tptp_fun_X_9(X!0))) | p103(tptp_fun_X_7(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_8(tptp_fun_X_9(X!0)))) | p103(tptp_fun_X_8(tptp_fun_X_9(X!0))) | (~p102(tptp_fun_X_7(tptp_fun_X_9(X!0)))) | (~p3(tptp_fun_X_8(tptp_fun_X_9(X!0)))) | (~p102(tptp_fun_X_8(tptp_fun_X_9(X!0)))))))) | (~(p101(tptp_fun_X_9(X!0)) | (~p100(tptp_fun_X_9(X!0))) | (~((~r1(tptp_fun_X_9(X!0), tptp_fun_X_9(tptp_fun_X_9(X!0)))) | p2(tptp_fun_X_9(tptp_fun_X_9(X!0))) | p102(tptp_fun_X_9(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_10(tptp_fun_X_9(X!0)))) | p102(tptp_fun_X_10(tptp_fun_X_9(X!0))) | (~p101(tptp_fun_X_9(tptp_fun_X_9(X!0)))) | (~p2(tptp_fun_X_10(tptp_fun_X_9(X!0)))) | (~p101(tptp_fun_X_10(tptp_fun_X_9(X!0)))))))) | (~(p105(tptp_fun_X_9(X!0)) | (~p106(tptp_fun_X_9(X!0))))) | (~(p104(tptp_fun_X_9(X!0)) | (~p105(tptp_fun_X_9(X!0))))) | (~(p103(tptp_fun_X_9(X!0)) | (~p104(tptp_fun_X_9(X!0))))) | (~(p102(tptp_fun_X_9(X!0)) | (~p103(tptp_fun_X_9(X!0))))) | (~(p101(tptp_fun_X_9(X!0)) | (~p102(tptp_fun_X_9(X!0))))) | (~(p100(tptp_fun_X_9(X!0)) | (~p101(tptp_fun_X_9(X!0))))) | (~((~p105(tptp_fun_X_9(X!0))) | (~((~(p6(tptp_fun_X_9(X!0)) | ![X: $i] : ((~p6(X)) | (~p105(X)) | (~r1(tptp_fun_X_9(X!0), X))))) | (~((~p6(tptp_fun_X_9(X!0))) | ![X: $i] : (p6(X) | (~p105(X)) | (~r1(tptp_fun_X_9(X!0), X))))))))) | (~((~p104(tptp_fun_X_9(X!0))) | (~((~(p5(tptp_fun_X_9(X!0)) | ![X: $i] : ((~p5(X)) | (~p104(X)) | (~r1(tptp_fun_X_9(X!0), X))))) | (~((~p5(tptp_fun_X_9(X!0))) | ![X: $i] : (p5(X) | (~p104(X)) | (~r1(tptp_fun_X_9(X!0), X))))))))) | (~((~p103(tptp_fun_X_9(X!0))) | (~((~(p4(tptp_fun_X_9(X!0)) | ![X: $i] : ((~p4(X)) | (~p103(X)) | (~r1(tptp_fun_X_9(X!0), X))))) | (~((~p4(tptp_fun_X_9(X!0))) | ![X: $i] : (p4(X) | (~p103(X)) | (~r1(tptp_fun_X_9(X!0), X))))))))) | (~((~p102(tptp_fun_X_9(X!0))) | (~((~(p3(tptp_fun_X_9(X!0)) | ![X: $i] : ((~p3(X)) | (~p102(X)) | (~r1(tptp_fun_X_9(X!0), X))))) | (~((~p3(tptp_fun_X_9(X!0))) | ![X: $i] : (p3(X) | (~p102(X)) | (~r1(tptp_fun_X_9(X!0), X))))))))) | (~((~p101(tptp_fun_X_9(X!0))) | (~((~(p2(tptp_fun_X_9(X!0)) | ![X: $i] : ((~p2(X)) | (~p101(X)) | (~r1(tptp_fun_X_9(X!0), X))))) | (~((~p2(tptp_fun_X_9(X!0))) | ![X: $i] : (p2(X) | (~p101(X)) | (~r1(tptp_fun_X_9(X!0), X))))))))) | (~((~p100(tptp_fun_X_9(X!0))) | (~((~(p1(tptp_fun_X_9(X!0)) | ![X: $i] : ((~p100(X)) | (~p1(X)) | (~r1(tptp_fun_X_9(X!0), X))))) | (~((~p1(tptp_fun_X_9(X!0))) | ![X: $i] : ((~p100(X)) | p1(X) | (~r1(tptp_fun_X_9(X!0), X))))))))))))) <=> ((~![Y: $i] : ((~r1(X!0, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))) | (~r1(X!0, tptp_fun_X_9(X!0))) | (~((~(p105(tptp_fun_X_9(X!0)) | (~p104(tptp_fun_X_9(X!0))) | (~(p106(tptp_fun_X_1(tptp_fun_X_9(X!0))) | p6(tptp_fun_X_1(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_1(tptp_fun_X_9(X!0)))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_2(tptp_fun_X_9(X!0)))) | p106(tptp_fun_X_2(tptp_fun_X_9(X!0))) | (~p105(tptp_fun_X_1(tptp_fun_X_9(X!0)))) | (~p6(tptp_fun_X_2(tptp_fun_X_9(X!0)))) | (~p105(tptp_fun_X_2(tptp_fun_X_9(X!0)))))))) | (~(p104(tptp_fun_X_9(X!0)) | (~p103(tptp_fun_X_9(X!0))) | (~(p105(tptp_fun_X_3(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_4(tptp_fun_X_9(X!0)))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_3(tptp_fun_X_9(X!0)))) | p5(tptp_fun_X_3(tptp_fun_X_9(X!0))) | p105(tptp_fun_X_4(tptp_fun_X_9(X!0))) | (~p104(tptp_fun_X_3(tptp_fun_X_9(X!0)))) | (~p5(tptp_fun_X_4(tptp_fun_X_9(X!0)))) | (~p104(tptp_fun_X_4(tptp_fun_X_9(X!0)))))))) | (~(p103(tptp_fun_X_9(X!0)) | (~p102(tptp_fun_X_9(X!0))) | (~((~r1(tptp_fun_X_9(X!0), tptp_fun_X_5(tptp_fun_X_9(X!0)))) | p4(tptp_fun_X_5(tptp_fun_X_9(X!0))) | p104(tptp_fun_X_5(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_6(tptp_fun_X_9(X!0)))) | p104(tptp_fun_X_6(tptp_fun_X_9(X!0))) | (~p103(tptp_fun_X_5(tptp_fun_X_9(X!0)))) | (~p4(tptp_fun_X_6(tptp_fun_X_9(X!0)))) | (~p103(tptp_fun_X_6(tptp_fun_X_9(X!0)))))))) | (~(p102(tptp_fun_X_9(X!0)) | (~p101(tptp_fun_X_9(X!0))) | (~((~r1(tptp_fun_X_9(X!0), tptp_fun_X_7(tptp_fun_X_9(X!0)))) | p3(tptp_fun_X_7(tptp_fun_X_9(X!0))) | p103(tptp_fun_X_7(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_8(tptp_fun_X_9(X!0)))) | p103(tptp_fun_X_8(tptp_fun_X_9(X!0))) | (~p102(tptp_fun_X_7(tptp_fun_X_9(X!0)))) | (~p3(tptp_fun_X_8(tptp_fun_X_9(X!0)))) | (~p102(tptp_fun_X_8(tptp_fun_X_9(X!0)))))))) | (~(p101(tptp_fun_X_9(X!0)) | (~p100(tptp_fun_X_9(X!0))) | (~((~r1(tptp_fun_X_9(X!0), tptp_fun_X_9(tptp_fun_X_9(X!0)))) | p2(tptp_fun_X_9(tptp_fun_X_9(X!0))) | p102(tptp_fun_X_9(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_10(tptp_fun_X_9(X!0)))) | p102(tptp_fun_X_10(tptp_fun_X_9(X!0))) | (~p101(tptp_fun_X_9(tptp_fun_X_9(X!0)))) | (~p2(tptp_fun_X_10(tptp_fun_X_9(X!0)))) | (~p101(tptp_fun_X_10(tptp_fun_X_9(X!0)))))))) | (~(p105(tptp_fun_X_9(X!0)) | (~p106(tptp_fun_X_9(X!0))))) | (~(p104(tptp_fun_X_9(X!0)) | (~p105(tptp_fun_X_9(X!0))))) | (~(p103(tptp_fun_X_9(X!0)) | (~p104(tptp_fun_X_9(X!0))))) | (~(p102(tptp_fun_X_9(X!0)) | (~p103(tptp_fun_X_9(X!0))))) | (~(p101(tptp_fun_X_9(X!0)) | (~p102(tptp_fun_X_9(X!0))))) | (~(p100(tptp_fun_X_9(X!0)) | (~p101(tptp_fun_X_9(X!0))))) | (~((~p105(tptp_fun_X_9(X!0))) | (~((~(p6(tptp_fun_X_9(X!0)) | ![X: $i] : ((~p6(X)) | (~p105(X)) | (~r1(tptp_fun_X_9(X!0), X))))) | (~((~p6(tptp_fun_X_9(X!0))) | ![X: $i] : (p6(X) | (~p105(X)) | (~r1(tptp_fun_X_9(X!0), X))))))))) | (~((~p104(tptp_fun_X_9(X!0))) | (~((~(p5(tptp_fun_X_9(X!0)) | ![X: $i] : ((~p5(X)) | (~p104(X)) | (~r1(tptp_fun_X_9(X!0), X))))) | (~((~p5(tptp_fun_X_9(X!0))) | ![X: $i] : (p5(X) | (~p104(X)) | (~r1(tptp_fun_X_9(X!0), X))))))))) | (~((~p103(tptp_fun_X_9(X!0))) | (~((~(p4(tptp_fun_X_9(X!0)) | ![X: $i] : ((~p4(X)) | (~p103(X)) | (~r1(tptp_fun_X_9(X!0), X))))) | (~((~p4(tptp_fun_X_9(X!0))) | ![X: $i] : (p4(X) | (~p103(X)) | (~r1(tptp_fun_X_9(X!0), X))))))))) | (~((~p102(tptp_fun_X_9(X!0))) | (~((~(p3(tptp_fun_X_9(X!0)) | ![X: $i] : ((~p3(X)) | (~p102(X)) | (~r1(tptp_fun_X_9(X!0), X))))) | (~((~p3(tptp_fun_X_9(X!0))) | ![X: $i] : (p3(X) | (~p102(X)) | (~r1(tptp_fun_X_9(X!0), X))))))))) | (~((~p101(tptp_fun_X_9(X!0))) | (~((~(p2(tptp_fun_X_9(X!0)) | ![X: $i] : ((~p2(X)) | (~p101(X)) | (~r1(tptp_fun_X_9(X!0), X))))) | (~((~p2(tptp_fun_X_9(X!0))) | ![X: $i] : (p2(X) | (~p101(X)) | (~r1(tptp_fun_X_9(X!0), X))))))))) | (~((~p100(tptp_fun_X_9(X!0))) | (~((~(p1(tptp_fun_X_9(X!0)) | ![X: $i] : ((~p100(X)) | (~p1(X)) | (~r1(tptp_fun_X_9(X!0), X))))) | (~((~p1(tptp_fun_X_9(X!0))) | ![X: $i] : ((~p100(X)) | p1(X) | (~r1(tptp_fun_X_9(X!0), X))))))))))))),
% 0.10/0.39 inference(rewrite,[status(thm)],[])).
% 0.10/0.39 tff(92,plain,
% 0.10/0.39 (((~r1(X!0, tptp_fun_X_9(X!0))) | (~((~(p105(tptp_fun_X_9(X!0)) | (~p104(tptp_fun_X_9(X!0))) | (~(p106(tptp_fun_X_1(tptp_fun_X_9(X!0))) | p6(tptp_fun_X_1(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_1(tptp_fun_X_9(X!0)))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_2(tptp_fun_X_9(X!0)))) | p106(tptp_fun_X_2(tptp_fun_X_9(X!0))) | (~p105(tptp_fun_X_1(tptp_fun_X_9(X!0)))) | (~p6(tptp_fun_X_2(tptp_fun_X_9(X!0)))) | (~p105(tptp_fun_X_2(tptp_fun_X_9(X!0)))))))) | (~(p104(tptp_fun_X_9(X!0)) | (~p103(tptp_fun_X_9(X!0))) | (~(p105(tptp_fun_X_3(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_4(tptp_fun_X_9(X!0)))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_3(tptp_fun_X_9(X!0)))) | p5(tptp_fun_X_3(tptp_fun_X_9(X!0))) | p105(tptp_fun_X_4(tptp_fun_X_9(X!0))) | (~p104(tptp_fun_X_3(tptp_fun_X_9(X!0)))) | (~p5(tptp_fun_X_4(tptp_fun_X_9(X!0)))) | (~p104(tptp_fun_X_4(tptp_fun_X_9(X!0)))))))) | (~(p103(tptp_fun_X_9(X!0)) | (~p102(tptp_fun_X_9(X!0))) | (~((~r1(tptp_fun_X_9(X!0), tptp_fun_X_5(tptp_fun_X_9(X!0)))) | p4(tptp_fun_X_5(tptp_fun_X_9(X!0))) | p104(tptp_fun_X_5(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_6(tptp_fun_X_9(X!0)))) | p104(tptp_fun_X_6(tptp_fun_X_9(X!0))) | (~p103(tptp_fun_X_5(tptp_fun_X_9(X!0)))) | (~p4(tptp_fun_X_6(tptp_fun_X_9(X!0)))) | (~p103(tptp_fun_X_6(tptp_fun_X_9(X!0)))))))) | (~(p102(tptp_fun_X_9(X!0)) | (~p101(tptp_fun_X_9(X!0))) | (~((~r1(tptp_fun_X_9(X!0), tptp_fun_X_7(tptp_fun_X_9(X!0)))) | p3(tptp_fun_X_7(tptp_fun_X_9(X!0))) | p103(tptp_fun_X_7(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_8(tptp_fun_X_9(X!0)))) | p103(tptp_fun_X_8(tptp_fun_X_9(X!0))) | (~p102(tptp_fun_X_7(tptp_fun_X_9(X!0)))) | (~p3(tptp_fun_X_8(tptp_fun_X_9(X!0)))) | (~p102(tptp_fun_X_8(tptp_fun_X_9(X!0)))))))) | (~(p101(tptp_fun_X_9(X!0)) | (~p100(tptp_fun_X_9(X!0))) | (~((~r1(tptp_fun_X_9(X!0), tptp_fun_X_9(tptp_fun_X_9(X!0)))) | p2(tptp_fun_X_9(tptp_fun_X_9(X!0))) | p102(tptp_fun_X_9(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_10(tptp_fun_X_9(X!0)))) | p102(tptp_fun_X_10(tptp_fun_X_9(X!0))) | (~p101(tptp_fun_X_9(tptp_fun_X_9(X!0)))) | (~p2(tptp_fun_X_10(tptp_fun_X_9(X!0)))) | (~p101(tptp_fun_X_10(tptp_fun_X_9(X!0)))))))) | (~(p105(tptp_fun_X_9(X!0)) | (~p106(tptp_fun_X_9(X!0))))) | (~(p104(tptp_fun_X_9(X!0)) | (~p105(tptp_fun_X_9(X!0))))) | (~(p103(tptp_fun_X_9(X!0)) | (~p104(tptp_fun_X_9(X!0))))) | (~(p102(tptp_fun_X_9(X!0)) | (~p103(tptp_fun_X_9(X!0))))) | (~(p101(tptp_fun_X_9(X!0)) | (~p102(tptp_fun_X_9(X!0))))) | (~(p100(tptp_fun_X_9(X!0)) | (~p101(tptp_fun_X_9(X!0))))) | (~((~p105(tptp_fun_X_9(X!0))) | (~((~(p6(tptp_fun_X_9(X!0)) | ![X: $i] : ((~r1(tptp_fun_X_9(X!0), X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(tptp_fun_X_9(X!0))) | ![X: $i] : ((~r1(tptp_fun_X_9(X!0), X)) | p6(X) | (~p105(X))))))))) | (~((~p104(tptp_fun_X_9(X!0))) | (~((~(p5(tptp_fun_X_9(X!0)) | ![X: $i] : ((~r1(tptp_fun_X_9(X!0), X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(tptp_fun_X_9(X!0))) | ![X: $i] : ((~r1(tptp_fun_X_9(X!0), X)) | p5(X) | (~p104(X))))))))) | (~((~p103(tptp_fun_X_9(X!0))) | (~((~(p4(tptp_fun_X_9(X!0)) | ![X: $i] : ((~r1(tptp_fun_X_9(X!0), X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(tptp_fun_X_9(X!0))) | ![X: $i] : ((~r1(tptp_fun_X_9(X!0), X)) | p4(X) | (~p103(X))))))))) | (~((~p102(tptp_fun_X_9(X!0))) | (~((~(p3(tptp_fun_X_9(X!0)) | ![X: $i] : ((~r1(tptp_fun_X_9(X!0), X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(tptp_fun_X_9(X!0))) | ![X: $i] : (p3(X) | (~r1(tptp_fun_X_9(X!0), X)) | (~p102(X))))))))) | (~((~p101(tptp_fun_X_9(X!0))) | (~((~(p2(tptp_fun_X_9(X!0)) | ![X: $i] : ((~r1(tptp_fun_X_9(X!0), X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(tptp_fun_X_9(X!0))) | ![X: $i] : ((~r1(tptp_fun_X_9(X!0), X)) | p2(X) | (~p101(X))))))))) | (~((~p100(tptp_fun_X_9(X!0))) | (~((~(p1(tptp_fun_X_9(X!0)) | ![X: $i] : ((~r1(tptp_fun_X_9(X!0), X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(tptp_fun_X_9(X!0))) | ![X: $i] : ((~r1(tptp_fun_X_9(X!0), X)) | (~p100(X)) | p1(X))))))))))) <=> ((~r1(X!0, tptp_fun_X_9(X!0))) | (~((~(p105(tptp_fun_X_9(X!0)) | (~p104(tptp_fun_X_9(X!0))) | (~(p106(tptp_fun_X_1(tptp_fun_X_9(X!0))) | p6(tptp_fun_X_1(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_1(tptp_fun_X_9(X!0)))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_2(tptp_fun_X_9(X!0)))) | p106(tptp_fun_X_2(tptp_fun_X_9(X!0))) | (~p105(tptp_fun_X_1(tptp_fun_X_9(X!0)))) | (~p6(tptp_fun_X_2(tptp_fun_X_9(X!0)))) | (~p105(tptp_fun_X_2(tptp_fun_X_9(X!0)))))))) | (~(p104(tptp_fun_X_9(X!0)) | (~p103(tptp_fun_X_9(X!0))) | (~(p105(tptp_fun_X_3(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_4(tptp_fun_X_9(X!0)))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_3(tptp_fun_X_9(X!0)))) | p5(tptp_fun_X_3(tptp_fun_X_9(X!0))) | p105(tptp_fun_X_4(tptp_fun_X_9(X!0))) | (~p104(tptp_fun_X_3(tptp_fun_X_9(X!0)))) | (~p5(tptp_fun_X_4(tptp_fun_X_9(X!0)))) | (~p104(tptp_fun_X_4(tptp_fun_X_9(X!0)))))))) | (~(p103(tptp_fun_X_9(X!0)) | (~p102(tptp_fun_X_9(X!0))) | (~((~r1(tptp_fun_X_9(X!0), tptp_fun_X_5(tptp_fun_X_9(X!0)))) | p4(tptp_fun_X_5(tptp_fun_X_9(X!0))) | p104(tptp_fun_X_5(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_6(tptp_fun_X_9(X!0)))) | p104(tptp_fun_X_6(tptp_fun_X_9(X!0))) | (~p103(tptp_fun_X_5(tptp_fun_X_9(X!0)))) | (~p4(tptp_fun_X_6(tptp_fun_X_9(X!0)))) | (~p103(tptp_fun_X_6(tptp_fun_X_9(X!0)))))))) | (~(p102(tptp_fun_X_9(X!0)) | (~p101(tptp_fun_X_9(X!0))) | (~((~r1(tptp_fun_X_9(X!0), tptp_fun_X_7(tptp_fun_X_9(X!0)))) | p3(tptp_fun_X_7(tptp_fun_X_9(X!0))) | p103(tptp_fun_X_7(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_8(tptp_fun_X_9(X!0)))) | p103(tptp_fun_X_8(tptp_fun_X_9(X!0))) | (~p102(tptp_fun_X_7(tptp_fun_X_9(X!0)))) | (~p3(tptp_fun_X_8(tptp_fun_X_9(X!0)))) | (~p102(tptp_fun_X_8(tptp_fun_X_9(X!0)))))))) | (~(p101(tptp_fun_X_9(X!0)) | (~p100(tptp_fun_X_9(X!0))) | (~((~r1(tptp_fun_X_9(X!0), tptp_fun_X_9(tptp_fun_X_9(X!0)))) | p2(tptp_fun_X_9(tptp_fun_X_9(X!0))) | p102(tptp_fun_X_9(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_10(tptp_fun_X_9(X!0)))) | p102(tptp_fun_X_10(tptp_fun_X_9(X!0))) | (~p101(tptp_fun_X_9(tptp_fun_X_9(X!0)))) | (~p2(tptp_fun_X_10(tptp_fun_X_9(X!0)))) | (~p101(tptp_fun_X_10(tptp_fun_X_9(X!0)))))))) | (~(p105(tptp_fun_X_9(X!0)) | (~p106(tptp_fun_X_9(X!0))))) | (~(p104(tptp_fun_X_9(X!0)) | (~p105(tptp_fun_X_9(X!0))))) | (~(p103(tptp_fun_X_9(X!0)) | (~p104(tptp_fun_X_9(X!0))))) | (~(p102(tptp_fun_X_9(X!0)) | (~p103(tptp_fun_X_9(X!0))))) | (~(p101(tptp_fun_X_9(X!0)) | (~p102(tptp_fun_X_9(X!0))))) | (~(p100(tptp_fun_X_9(X!0)) | (~p101(tptp_fun_X_9(X!0))))) | (~((~p105(tptp_fun_X_9(X!0))) | (~((~(p6(tptp_fun_X_9(X!0)) | ![X: $i] : ((~p6(X)) | (~p105(X)) | (~r1(tptp_fun_X_9(X!0), X))))) | (~((~p6(tptp_fun_X_9(X!0))) | ![X: $i] : (p6(X) | (~p105(X)) | (~r1(tptp_fun_X_9(X!0), X))))))))) | (~((~p104(tptp_fun_X_9(X!0))) | (~((~(p5(tptp_fun_X_9(X!0)) | ![X: $i] : ((~p5(X)) | (~p104(X)) | (~r1(tptp_fun_X_9(X!0), X))))) | (~((~p5(tptp_fun_X_9(X!0))) | ![X: $i] : (p5(X) | (~p104(X)) | (~r1(tptp_fun_X_9(X!0), X))))))))) | (~((~p103(tptp_fun_X_9(X!0))) | (~((~(p4(tptp_fun_X_9(X!0)) | ![X: $i] : ((~p4(X)) | (~p103(X)) | (~r1(tptp_fun_X_9(X!0), X))))) | (~((~p4(tptp_fun_X_9(X!0))) | ![X: $i] : (p4(X) | (~p103(X)) | (~r1(tptp_fun_X_9(X!0), X))))))))) | (~((~p102(tptp_fun_X_9(X!0))) | (~((~(p3(tptp_fun_X_9(X!0)) | ![X: $i] : ((~p3(X)) | (~p102(X)) | (~r1(tptp_fun_X_9(X!0), X))))) | (~((~p3(tptp_fun_X_9(X!0))) | ![X: $i] : (p3(X) | (~p102(X)) | (~r1(tptp_fun_X_9(X!0), X))))))))) | (~((~p101(tptp_fun_X_9(X!0))) | (~((~(p2(tptp_fun_X_9(X!0)) | ![X: $i] : ((~p2(X)) | (~p101(X)) | (~r1(tptp_fun_X_9(X!0), X))))) | (~((~p2(tptp_fun_X_9(X!0))) | ![X: $i] : (p2(X) | (~p101(X)) | (~r1(tptp_fun_X_9(X!0), X))))))))) | (~((~p100(tptp_fun_X_9(X!0))) | (~((~(p1(tptp_fun_X_9(X!0)) | ![X: $i] : ((~p100(X)) | (~p1(X)) | (~r1(tptp_fun_X_9(X!0), X))))) | (~((~p1(tptp_fun_X_9(X!0))) | ![X: $i] : ((~p100(X)) | p1(X) | (~r1(tptp_fun_X_9(X!0), X))))))))))))),
% 0.10/0.40 inference(rewrite,[status(thm)],[])).
% 0.10/0.40 tff(93,plain,
% 0.10/0.40 (((~![Y: $i] : ((~r1(X!0, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))) | ((~r1(X!0, tptp_fun_X_9(X!0))) | (~((~(p105(tptp_fun_X_9(X!0)) | (~p104(tptp_fun_X_9(X!0))) | (~(p106(tptp_fun_X_1(tptp_fun_X_9(X!0))) | p6(tptp_fun_X_1(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_1(tptp_fun_X_9(X!0)))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_2(tptp_fun_X_9(X!0)))) | p106(tptp_fun_X_2(tptp_fun_X_9(X!0))) | (~p105(tptp_fun_X_1(tptp_fun_X_9(X!0)))) | (~p6(tptp_fun_X_2(tptp_fun_X_9(X!0)))) | (~p105(tptp_fun_X_2(tptp_fun_X_9(X!0)))))))) | (~(p104(tptp_fun_X_9(X!0)) | (~p103(tptp_fun_X_9(X!0))) | (~(p105(tptp_fun_X_3(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_4(tptp_fun_X_9(X!0)))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_3(tptp_fun_X_9(X!0)))) | p5(tptp_fun_X_3(tptp_fun_X_9(X!0))) | p105(tptp_fun_X_4(tptp_fun_X_9(X!0))) | (~p104(tptp_fun_X_3(tptp_fun_X_9(X!0)))) | (~p5(tptp_fun_X_4(tptp_fun_X_9(X!0)))) | (~p104(tptp_fun_X_4(tptp_fun_X_9(X!0)))))))) | (~(p103(tptp_fun_X_9(X!0)) | (~p102(tptp_fun_X_9(X!0))) | (~((~r1(tptp_fun_X_9(X!0), tptp_fun_X_5(tptp_fun_X_9(X!0)))) | p4(tptp_fun_X_5(tptp_fun_X_9(X!0))) | p104(tptp_fun_X_5(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_6(tptp_fun_X_9(X!0)))) | p104(tptp_fun_X_6(tptp_fun_X_9(X!0))) | (~p103(tptp_fun_X_5(tptp_fun_X_9(X!0)))) | (~p4(tptp_fun_X_6(tptp_fun_X_9(X!0)))) | (~p103(tptp_fun_X_6(tptp_fun_X_9(X!0)))))))) | (~(p102(tptp_fun_X_9(X!0)) | (~p101(tptp_fun_X_9(X!0))) | (~((~r1(tptp_fun_X_9(X!0), tptp_fun_X_7(tptp_fun_X_9(X!0)))) | p3(tptp_fun_X_7(tptp_fun_X_9(X!0))) | p103(tptp_fun_X_7(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_8(tptp_fun_X_9(X!0)))) | p103(tptp_fun_X_8(tptp_fun_X_9(X!0))) | (~p102(tptp_fun_X_7(tptp_fun_X_9(X!0)))) | (~p3(tptp_fun_X_8(tptp_fun_X_9(X!0)))) | (~p102(tptp_fun_X_8(tptp_fun_X_9(X!0)))))))) | (~(p101(tptp_fun_X_9(X!0)) | (~p100(tptp_fun_X_9(X!0))) | (~((~r1(tptp_fun_X_9(X!0), tptp_fun_X_9(tptp_fun_X_9(X!0)))) | p2(tptp_fun_X_9(tptp_fun_X_9(X!0))) | p102(tptp_fun_X_9(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_10(tptp_fun_X_9(X!0)))) | p102(tptp_fun_X_10(tptp_fun_X_9(X!0))) | (~p101(tptp_fun_X_9(tptp_fun_X_9(X!0)))) | (~p2(tptp_fun_X_10(tptp_fun_X_9(X!0)))) | (~p101(tptp_fun_X_10(tptp_fun_X_9(X!0)))))))) | (~(p105(tptp_fun_X_9(X!0)) | (~p106(tptp_fun_X_9(X!0))))) | (~(p104(tptp_fun_X_9(X!0)) | (~p105(tptp_fun_X_9(X!0))))) | (~(p103(tptp_fun_X_9(X!0)) | (~p104(tptp_fun_X_9(X!0))))) | (~(p102(tptp_fun_X_9(X!0)) | (~p103(tptp_fun_X_9(X!0))))) | (~(p101(tptp_fun_X_9(X!0)) | (~p102(tptp_fun_X_9(X!0))))) | (~(p100(tptp_fun_X_9(X!0)) | (~p101(tptp_fun_X_9(X!0))))) | (~((~p105(tptp_fun_X_9(X!0))) | (~((~(p6(tptp_fun_X_9(X!0)) | ![X: $i] : ((~r1(tptp_fun_X_9(X!0), X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(tptp_fun_X_9(X!0))) | ![X: $i] : ((~r1(tptp_fun_X_9(X!0), X)) | p6(X) | (~p105(X))))))))) | (~((~p104(tptp_fun_X_9(X!0))) | (~((~(p5(tptp_fun_X_9(X!0)) | ![X: $i] : ((~r1(tptp_fun_X_9(X!0), X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(tptp_fun_X_9(X!0))) | ![X: $i] : ((~r1(tptp_fun_X_9(X!0), X)) | p5(X) | (~p104(X))))))))) | (~((~p103(tptp_fun_X_9(X!0))) | (~((~(p4(tptp_fun_X_9(X!0)) | ![X: $i] : ((~r1(tptp_fun_X_9(X!0), X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(tptp_fun_X_9(X!0))) | ![X: $i] : ((~r1(tptp_fun_X_9(X!0), X)) | p4(X) | (~p103(X))))))))) | (~((~p102(tptp_fun_X_9(X!0))) | (~((~(p3(tptp_fun_X_9(X!0)) | ![X: $i] : ((~r1(tptp_fun_X_9(X!0), X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(tptp_fun_X_9(X!0))) | ![X: $i] : (p3(X) | (~r1(tptp_fun_X_9(X!0), X)) | (~p102(X))))))))) | (~((~p101(tptp_fun_X_9(X!0))) | (~((~(p2(tptp_fun_X_9(X!0)) | ![X: $i] : ((~r1(tptp_fun_X_9(X!0), X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(tptp_fun_X_9(X!0))) | ![X: $i] : ((~r1(tptp_fun_X_9(X!0), X)) | p2(X) | (~p101(X))))))))) | (~((~p100(tptp_fun_X_9(X!0))) | (~((~(p1(tptp_fun_X_9(X!0)) | ![X: $i] : ((~r1(tptp_fun_X_9(X!0), X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(tptp_fun_X_9(X!0))) | ![X: $i] : ((~r1(tptp_fun_X_9(X!0), X)) | (~p100(X)) | p1(X)))))))))))) <=> ((~![Y: $i] : ((~r1(X!0, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))) | ((~r1(X!0, tptp_fun_X_9(X!0))) | (~((~(p105(tptp_fun_X_9(X!0)) | (~p104(tptp_fun_X_9(X!0))) | (~(p106(tptp_fun_X_1(tptp_fun_X_9(X!0))) | p6(tptp_fun_X_1(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_1(tptp_fun_X_9(X!0)))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_2(tptp_fun_X_9(X!0)))) | p106(tptp_fun_X_2(tptp_fun_X_9(X!0))) | (~p105(tptp_fun_X_1(tptp_fun_X_9(X!0)))) | (~p6(tptp_fun_X_2(tptp_fun_X_9(X!0)))) | (~p105(tptp_fun_X_2(tptp_fun_X_9(X!0)))))))) | (~(p104(tptp_fun_X_9(X!0)) | (~p103(tptp_fun_X_9(X!0))) | (~(p105(tptp_fun_X_3(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_4(tptp_fun_X_9(X!0)))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_3(tptp_fun_X_9(X!0)))) | p5(tptp_fun_X_3(tptp_fun_X_9(X!0))) | p105(tptp_fun_X_4(tptp_fun_X_9(X!0))) | (~p104(tptp_fun_X_3(tptp_fun_X_9(X!0)))) | (~p5(tptp_fun_X_4(tptp_fun_X_9(X!0)))) | (~p104(tptp_fun_X_4(tptp_fun_X_9(X!0)))))))) | (~(p103(tptp_fun_X_9(X!0)) | (~p102(tptp_fun_X_9(X!0))) | (~((~r1(tptp_fun_X_9(X!0), tptp_fun_X_5(tptp_fun_X_9(X!0)))) | p4(tptp_fun_X_5(tptp_fun_X_9(X!0))) | p104(tptp_fun_X_5(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_6(tptp_fun_X_9(X!0)))) | p104(tptp_fun_X_6(tptp_fun_X_9(X!0))) | (~p103(tptp_fun_X_5(tptp_fun_X_9(X!0)))) | (~p4(tptp_fun_X_6(tptp_fun_X_9(X!0)))) | (~p103(tptp_fun_X_6(tptp_fun_X_9(X!0)))))))) | (~(p102(tptp_fun_X_9(X!0)) | (~p101(tptp_fun_X_9(X!0))) | (~((~r1(tptp_fun_X_9(X!0), tptp_fun_X_7(tptp_fun_X_9(X!0)))) | p3(tptp_fun_X_7(tptp_fun_X_9(X!0))) | p103(tptp_fun_X_7(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_8(tptp_fun_X_9(X!0)))) | p103(tptp_fun_X_8(tptp_fun_X_9(X!0))) | (~p102(tptp_fun_X_7(tptp_fun_X_9(X!0)))) | (~p3(tptp_fun_X_8(tptp_fun_X_9(X!0)))) | (~p102(tptp_fun_X_8(tptp_fun_X_9(X!0)))))))) | (~(p101(tptp_fun_X_9(X!0)) | (~p100(tptp_fun_X_9(X!0))) | (~((~r1(tptp_fun_X_9(X!0), tptp_fun_X_9(tptp_fun_X_9(X!0)))) | p2(tptp_fun_X_9(tptp_fun_X_9(X!0))) | p102(tptp_fun_X_9(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_10(tptp_fun_X_9(X!0)))) | p102(tptp_fun_X_10(tptp_fun_X_9(X!0))) | (~p101(tptp_fun_X_9(tptp_fun_X_9(X!0)))) | (~p2(tptp_fun_X_10(tptp_fun_X_9(X!0)))) | (~p101(tptp_fun_X_10(tptp_fun_X_9(X!0)))))))) | (~(p105(tptp_fun_X_9(X!0)) | (~p106(tptp_fun_X_9(X!0))))) | (~(p104(tptp_fun_X_9(X!0)) | (~p105(tptp_fun_X_9(X!0))))) | (~(p103(tptp_fun_X_9(X!0)) | (~p104(tptp_fun_X_9(X!0))))) | (~(p102(tptp_fun_X_9(X!0)) | (~p103(tptp_fun_X_9(X!0))))) | (~(p101(tptp_fun_X_9(X!0)) | (~p102(tptp_fun_X_9(X!0))))) | (~(p100(tptp_fun_X_9(X!0)) | (~p101(tptp_fun_X_9(X!0))))) | (~((~p105(tptp_fun_X_9(X!0))) | (~((~(p6(tptp_fun_X_9(X!0)) | ![X: $i] : ((~p6(X)) | (~p105(X)) | (~r1(tptp_fun_X_9(X!0), X))))) | (~((~p6(tptp_fun_X_9(X!0))) | ![X: $i] : (p6(X) | (~p105(X)) | (~r1(tptp_fun_X_9(X!0), X))))))))) | (~((~p104(tptp_fun_X_9(X!0))) | (~((~(p5(tptp_fun_X_9(X!0)) | ![X: $i] : ((~p5(X)) | (~p104(X)) | (~r1(tptp_fun_X_9(X!0), X))))) | (~((~p5(tptp_fun_X_9(X!0))) | ![X: $i] : (p5(X) | (~p104(X)) | (~r1(tptp_fun_X_9(X!0), X))))))))) | (~((~p103(tptp_fun_X_9(X!0))) | (~((~(p4(tptp_fun_X_9(X!0)) | ![X: $i] : ((~p4(X)) | (~p103(X)) | (~r1(tptp_fun_X_9(X!0), X))))) | (~((~p4(tptp_fun_X_9(X!0))) | ![X: $i] : (p4(X) | (~p103(X)) | (~r1(tptp_fun_X_9(X!0), X))))))))) | (~((~p102(tptp_fun_X_9(X!0))) | (~((~(p3(tptp_fun_X_9(X!0)) | ![X: $i] : ((~p3(X)) | (~p102(X)) | (~r1(tptp_fun_X_9(X!0), X))))) | (~((~p3(tptp_fun_X_9(X!0))) | ![X: $i] : (p3(X) | (~p102(X)) | (~r1(tptp_fun_X_9(X!0), X))))))))) | (~((~p101(tptp_fun_X_9(X!0))) | (~((~(p2(tptp_fun_X_9(X!0)) | ![X: $i] : ((~p2(X)) | (~p101(X)) | (~r1(tptp_fun_X_9(X!0), X))))) | (~((~p2(tptp_fun_X_9(X!0))) | ![X: $i] : (p2(X) | (~p101(X)) | (~r1(tptp_fun_X_9(X!0), X))))))))) | (~((~p100(tptp_fun_X_9(X!0))) | (~((~(p1(tptp_fun_X_9(X!0)) | ![X: $i] : ((~p100(X)) | (~p1(X)) | (~r1(tptp_fun_X_9(X!0), X))))) | (~((~p1(tptp_fun_X_9(X!0))) | ![X: $i] : ((~p100(X)) | p1(X) | (~r1(tptp_fun_X_9(X!0), X)))))))))))))),
% 0.10/0.40 inference(monotonicity,[status(thm)],[92])).
% 0.10/0.40 tff(94,plain,
% 0.10/0.40 (((~![Y: $i] : ((~r1(X!0, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))) | ((~r1(X!0, tptp_fun_X_9(X!0))) | (~((~(p105(tptp_fun_X_9(X!0)) | (~p104(tptp_fun_X_9(X!0))) | (~(p106(tptp_fun_X_1(tptp_fun_X_9(X!0))) | p6(tptp_fun_X_1(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_1(tptp_fun_X_9(X!0)))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_2(tptp_fun_X_9(X!0)))) | p106(tptp_fun_X_2(tptp_fun_X_9(X!0))) | (~p105(tptp_fun_X_1(tptp_fun_X_9(X!0)))) | (~p6(tptp_fun_X_2(tptp_fun_X_9(X!0)))) | (~p105(tptp_fun_X_2(tptp_fun_X_9(X!0)))))))) | (~(p104(tptp_fun_X_9(X!0)) | (~p103(tptp_fun_X_9(X!0))) | (~(p105(tptp_fun_X_3(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_4(tptp_fun_X_9(X!0)))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_3(tptp_fun_X_9(X!0)))) | p5(tptp_fun_X_3(tptp_fun_X_9(X!0))) | p105(tptp_fun_X_4(tptp_fun_X_9(X!0))) | (~p104(tptp_fun_X_3(tptp_fun_X_9(X!0)))) | (~p5(tptp_fun_X_4(tptp_fun_X_9(X!0)))) | (~p104(tptp_fun_X_4(tptp_fun_X_9(X!0)))))))) | (~(p103(tptp_fun_X_9(X!0)) | (~p102(tptp_fun_X_9(X!0))) | (~((~r1(tptp_fun_X_9(X!0), tptp_fun_X_5(tptp_fun_X_9(X!0)))) | p4(tptp_fun_X_5(tptp_fun_X_9(X!0))) | p104(tptp_fun_X_5(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_6(tptp_fun_X_9(X!0)))) | p104(tptp_fun_X_6(tptp_fun_X_9(X!0))) | (~p103(tptp_fun_X_5(tptp_fun_X_9(X!0)))) | (~p4(tptp_fun_X_6(tptp_fun_X_9(X!0)))) | (~p103(tptp_fun_X_6(tptp_fun_X_9(X!0)))))))) | (~(p102(tptp_fun_X_9(X!0)) | (~p101(tptp_fun_X_9(X!0))) | (~((~r1(tptp_fun_X_9(X!0), tptp_fun_X_7(tptp_fun_X_9(X!0)))) | p3(tptp_fun_X_7(tptp_fun_X_9(X!0))) | p103(tptp_fun_X_7(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_8(tptp_fun_X_9(X!0)))) | p103(tptp_fun_X_8(tptp_fun_X_9(X!0))) | (~p102(tptp_fun_X_7(tptp_fun_X_9(X!0)))) | (~p3(tptp_fun_X_8(tptp_fun_X_9(X!0)))) | (~p102(tptp_fun_X_8(tptp_fun_X_9(X!0)))))))) | (~(p101(tptp_fun_X_9(X!0)) | (~p100(tptp_fun_X_9(X!0))) | (~((~r1(tptp_fun_X_9(X!0), tptp_fun_X_9(tptp_fun_X_9(X!0)))) | p2(tptp_fun_X_9(tptp_fun_X_9(X!0))) | p102(tptp_fun_X_9(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_10(tptp_fun_X_9(X!0)))) | p102(tptp_fun_X_10(tptp_fun_X_9(X!0))) | (~p101(tptp_fun_X_9(tptp_fun_X_9(X!0)))) | (~p2(tptp_fun_X_10(tptp_fun_X_9(X!0)))) | (~p101(tptp_fun_X_10(tptp_fun_X_9(X!0)))))))) | (~(p105(tptp_fun_X_9(X!0)) | (~p106(tptp_fun_X_9(X!0))))) | (~(p104(tptp_fun_X_9(X!0)) | (~p105(tptp_fun_X_9(X!0))))) | (~(p103(tptp_fun_X_9(X!0)) | (~p104(tptp_fun_X_9(X!0))))) | (~(p102(tptp_fun_X_9(X!0)) | (~p103(tptp_fun_X_9(X!0))))) | (~(p101(tptp_fun_X_9(X!0)) | (~p102(tptp_fun_X_9(X!0))))) | (~(p100(tptp_fun_X_9(X!0)) | (~p101(tptp_fun_X_9(X!0))))) | (~((~p105(tptp_fun_X_9(X!0))) | (~((~(p6(tptp_fun_X_9(X!0)) | ![X: $i] : ((~r1(tptp_fun_X_9(X!0), X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(tptp_fun_X_9(X!0))) | ![X: $i] : ((~r1(tptp_fun_X_9(X!0), X)) | p6(X) | (~p105(X))))))))) | (~((~p104(tptp_fun_X_9(X!0))) | (~((~(p5(tptp_fun_X_9(X!0)) | ![X: $i] : ((~r1(tptp_fun_X_9(X!0), X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(tptp_fun_X_9(X!0))) | ![X: $i] : ((~r1(tptp_fun_X_9(X!0), X)) | p5(X) | (~p104(X))))))))) | (~((~p103(tptp_fun_X_9(X!0))) | (~((~(p4(tptp_fun_X_9(X!0)) | ![X: $i] : ((~r1(tptp_fun_X_9(X!0), X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(tptp_fun_X_9(X!0))) | ![X: $i] : ((~r1(tptp_fun_X_9(X!0), X)) | p4(X) | (~p103(X))))))))) | (~((~p102(tptp_fun_X_9(X!0))) | (~((~(p3(tptp_fun_X_9(X!0)) | ![X: $i] : ((~r1(tptp_fun_X_9(X!0), X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(tptp_fun_X_9(X!0))) | ![X: $i] : (p3(X) | (~r1(tptp_fun_X_9(X!0), X)) | (~p102(X))))))))) | (~((~p101(tptp_fun_X_9(X!0))) | (~((~(p2(tptp_fun_X_9(X!0)) | ![X: $i] : ((~r1(tptp_fun_X_9(X!0), X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(tptp_fun_X_9(X!0))) | ![X: $i] : ((~r1(tptp_fun_X_9(X!0), X)) | p2(X) | (~p101(X))))))))) | (~((~p100(tptp_fun_X_9(X!0))) | (~((~(p1(tptp_fun_X_9(X!0)) | ![X: $i] : ((~r1(tptp_fun_X_9(X!0), X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(tptp_fun_X_9(X!0))) | ![X: $i] : ((~r1(tptp_fun_X_9(X!0), X)) | (~p100(X)) | p1(X)))))))))))) <=> ((~![Y: $i] : ((~r1(X!0, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))) | (~r1(X!0, tptp_fun_X_9(X!0))) | (~((~(p105(tptp_fun_X_9(X!0)) | (~p104(tptp_fun_X_9(X!0))) | (~(p106(tptp_fun_X_1(tptp_fun_X_9(X!0))) | p6(tptp_fun_X_1(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_1(tptp_fun_X_9(X!0)))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_2(tptp_fun_X_9(X!0)))) | p106(tptp_fun_X_2(tptp_fun_X_9(X!0))) | (~p105(tptp_fun_X_1(tptp_fun_X_9(X!0)))) | (~p6(tptp_fun_X_2(tptp_fun_X_9(X!0)))) | (~p105(tptp_fun_X_2(tptp_fun_X_9(X!0)))))))) | (~(p104(tptp_fun_X_9(X!0)) | (~p103(tptp_fun_X_9(X!0))) | (~(p105(tptp_fun_X_3(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_4(tptp_fun_X_9(X!0)))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_3(tptp_fun_X_9(X!0)))) | p5(tptp_fun_X_3(tptp_fun_X_9(X!0))) | p105(tptp_fun_X_4(tptp_fun_X_9(X!0))) | (~p104(tptp_fun_X_3(tptp_fun_X_9(X!0)))) | (~p5(tptp_fun_X_4(tptp_fun_X_9(X!0)))) | (~p104(tptp_fun_X_4(tptp_fun_X_9(X!0)))))))) | (~(p103(tptp_fun_X_9(X!0)) | (~p102(tptp_fun_X_9(X!0))) | (~((~r1(tptp_fun_X_9(X!0), tptp_fun_X_5(tptp_fun_X_9(X!0)))) | p4(tptp_fun_X_5(tptp_fun_X_9(X!0))) | p104(tptp_fun_X_5(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_6(tptp_fun_X_9(X!0)))) | p104(tptp_fun_X_6(tptp_fun_X_9(X!0))) | (~p103(tptp_fun_X_5(tptp_fun_X_9(X!0)))) | (~p4(tptp_fun_X_6(tptp_fun_X_9(X!0)))) | (~p103(tptp_fun_X_6(tptp_fun_X_9(X!0)))))))) | (~(p102(tptp_fun_X_9(X!0)) | (~p101(tptp_fun_X_9(X!0))) | (~((~r1(tptp_fun_X_9(X!0), tptp_fun_X_7(tptp_fun_X_9(X!0)))) | p3(tptp_fun_X_7(tptp_fun_X_9(X!0))) | p103(tptp_fun_X_7(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_8(tptp_fun_X_9(X!0)))) | p103(tptp_fun_X_8(tptp_fun_X_9(X!0))) | (~p102(tptp_fun_X_7(tptp_fun_X_9(X!0)))) | (~p3(tptp_fun_X_8(tptp_fun_X_9(X!0)))) | (~p102(tptp_fun_X_8(tptp_fun_X_9(X!0)))))))) | (~(p101(tptp_fun_X_9(X!0)) | (~p100(tptp_fun_X_9(X!0))) | (~((~r1(tptp_fun_X_9(X!0), tptp_fun_X_9(tptp_fun_X_9(X!0)))) | p2(tptp_fun_X_9(tptp_fun_X_9(X!0))) | p102(tptp_fun_X_9(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_10(tptp_fun_X_9(X!0)))) | p102(tptp_fun_X_10(tptp_fun_X_9(X!0))) | (~p101(tptp_fun_X_9(tptp_fun_X_9(X!0)))) | (~p2(tptp_fun_X_10(tptp_fun_X_9(X!0)))) | (~p101(tptp_fun_X_10(tptp_fun_X_9(X!0)))))))) | (~(p105(tptp_fun_X_9(X!0)) | (~p106(tptp_fun_X_9(X!0))))) | (~(p104(tptp_fun_X_9(X!0)) | (~p105(tptp_fun_X_9(X!0))))) | (~(p103(tptp_fun_X_9(X!0)) | (~p104(tptp_fun_X_9(X!0))))) | (~(p102(tptp_fun_X_9(X!0)) | (~p103(tptp_fun_X_9(X!0))))) | (~(p101(tptp_fun_X_9(X!0)) | (~p102(tptp_fun_X_9(X!0))))) | (~(p100(tptp_fun_X_9(X!0)) | (~p101(tptp_fun_X_9(X!0))))) | (~((~p105(tptp_fun_X_9(X!0))) | (~((~(p6(tptp_fun_X_9(X!0)) | ![X: $i] : ((~p6(X)) | (~p105(X)) | (~r1(tptp_fun_X_9(X!0), X))))) | (~((~p6(tptp_fun_X_9(X!0))) | ![X: $i] : (p6(X) | (~p105(X)) | (~r1(tptp_fun_X_9(X!0), X))))))))) | (~((~p104(tptp_fun_X_9(X!0))) | (~((~(p5(tptp_fun_X_9(X!0)) | ![X: $i] : ((~p5(X)) | (~p104(X)) | (~r1(tptp_fun_X_9(X!0), X))))) | (~((~p5(tptp_fun_X_9(X!0))) | ![X: $i] : (p5(X) | (~p104(X)) | (~r1(tptp_fun_X_9(X!0), X))))))))) | (~((~p103(tptp_fun_X_9(X!0))) | (~((~(p4(tptp_fun_X_9(X!0)) | ![X: $i] : ((~p4(X)) | (~p103(X)) | (~r1(tptp_fun_X_9(X!0), X))))) | (~((~p4(tptp_fun_X_9(X!0))) | ![X: $i] : (p4(X) | (~p103(X)) | (~r1(tptp_fun_X_9(X!0), X))))))))) | (~((~p102(tptp_fun_X_9(X!0))) | (~((~(p3(tptp_fun_X_9(X!0)) | ![X: $i] : ((~p3(X)) | (~p102(X)) | (~r1(tptp_fun_X_9(X!0), X))))) | (~((~p3(tptp_fun_X_9(X!0))) | ![X: $i] : (p3(X) | (~p102(X)) | (~r1(tptp_fun_X_9(X!0), X))))))))) | (~((~p101(tptp_fun_X_9(X!0))) | (~((~(p2(tptp_fun_X_9(X!0)) | ![X: $i] : ((~p2(X)) | (~p101(X)) | (~r1(tptp_fun_X_9(X!0), X))))) | (~((~p2(tptp_fun_X_9(X!0))) | ![X: $i] : (p2(X) | (~p101(X)) | (~r1(tptp_fun_X_9(X!0), X))))))))) | (~((~p100(tptp_fun_X_9(X!0))) | (~((~(p1(tptp_fun_X_9(X!0)) | ![X: $i] : ((~p100(X)) | (~p1(X)) | (~r1(tptp_fun_X_9(X!0), X))))) | (~((~p1(tptp_fun_X_9(X!0))) | ![X: $i] : ((~p100(X)) | p1(X) | (~r1(tptp_fun_X_9(X!0), X))))))))))))),
% 0.10/0.41 inference(transitivity,[status(thm)],[93, 91])).
% 0.10/0.41 tff(95,plain,
% 0.10/0.41 ((~![Y: $i] : ((~r1(X!0, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))) | ((~r1(X!0, tptp_fun_X_9(X!0))) | (~((~(p105(tptp_fun_X_9(X!0)) | (~p104(tptp_fun_X_9(X!0))) | (~(p106(tptp_fun_X_1(tptp_fun_X_9(X!0))) | p6(tptp_fun_X_1(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_1(tptp_fun_X_9(X!0)))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_2(tptp_fun_X_9(X!0)))) | p106(tptp_fun_X_2(tptp_fun_X_9(X!0))) | (~p105(tptp_fun_X_1(tptp_fun_X_9(X!0)))) | (~p6(tptp_fun_X_2(tptp_fun_X_9(X!0)))) | (~p105(tptp_fun_X_2(tptp_fun_X_9(X!0)))))))) | (~(p104(tptp_fun_X_9(X!0)) | (~p103(tptp_fun_X_9(X!0))) | (~(p105(tptp_fun_X_3(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_4(tptp_fun_X_9(X!0)))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_3(tptp_fun_X_9(X!0)))) | p5(tptp_fun_X_3(tptp_fun_X_9(X!0))) | p105(tptp_fun_X_4(tptp_fun_X_9(X!0))) | (~p104(tptp_fun_X_3(tptp_fun_X_9(X!0)))) | (~p5(tptp_fun_X_4(tptp_fun_X_9(X!0)))) | (~p104(tptp_fun_X_4(tptp_fun_X_9(X!0)))))))) | (~(p103(tptp_fun_X_9(X!0)) | (~p102(tptp_fun_X_9(X!0))) | (~((~r1(tptp_fun_X_9(X!0), tptp_fun_X_5(tptp_fun_X_9(X!0)))) | p4(tptp_fun_X_5(tptp_fun_X_9(X!0))) | p104(tptp_fun_X_5(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_6(tptp_fun_X_9(X!0)))) | p104(tptp_fun_X_6(tptp_fun_X_9(X!0))) | (~p103(tptp_fun_X_5(tptp_fun_X_9(X!0)))) | (~p4(tptp_fun_X_6(tptp_fun_X_9(X!0)))) | (~p103(tptp_fun_X_6(tptp_fun_X_9(X!0)))))))) | (~(p102(tptp_fun_X_9(X!0)) | (~p101(tptp_fun_X_9(X!0))) | (~((~r1(tptp_fun_X_9(X!0), tptp_fun_X_7(tptp_fun_X_9(X!0)))) | p3(tptp_fun_X_7(tptp_fun_X_9(X!0))) | p103(tptp_fun_X_7(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_8(tptp_fun_X_9(X!0)))) | p103(tptp_fun_X_8(tptp_fun_X_9(X!0))) | (~p102(tptp_fun_X_7(tptp_fun_X_9(X!0)))) | (~p3(tptp_fun_X_8(tptp_fun_X_9(X!0)))) | (~p102(tptp_fun_X_8(tptp_fun_X_9(X!0)))))))) | (~(p101(tptp_fun_X_9(X!0)) | (~p100(tptp_fun_X_9(X!0))) | (~((~r1(tptp_fun_X_9(X!0), tptp_fun_X_9(tptp_fun_X_9(X!0)))) | p2(tptp_fun_X_9(tptp_fun_X_9(X!0))) | p102(tptp_fun_X_9(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_10(tptp_fun_X_9(X!0)))) | p102(tptp_fun_X_10(tptp_fun_X_9(X!0))) | (~p101(tptp_fun_X_9(tptp_fun_X_9(X!0)))) | (~p2(tptp_fun_X_10(tptp_fun_X_9(X!0)))) | (~p101(tptp_fun_X_10(tptp_fun_X_9(X!0)))))))) | (~(p105(tptp_fun_X_9(X!0)) | (~p106(tptp_fun_X_9(X!0))))) | (~(p104(tptp_fun_X_9(X!0)) | (~p105(tptp_fun_X_9(X!0))))) | (~(p103(tptp_fun_X_9(X!0)) | (~p104(tptp_fun_X_9(X!0))))) | (~(p102(tptp_fun_X_9(X!0)) | (~p103(tptp_fun_X_9(X!0))))) | (~(p101(tptp_fun_X_9(X!0)) | (~p102(tptp_fun_X_9(X!0))))) | (~(p100(tptp_fun_X_9(X!0)) | (~p101(tptp_fun_X_9(X!0))))) | (~((~p105(tptp_fun_X_9(X!0))) | (~((~(p6(tptp_fun_X_9(X!0)) | ![X: $i] : ((~r1(tptp_fun_X_9(X!0), X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(tptp_fun_X_9(X!0))) | ![X: $i] : ((~r1(tptp_fun_X_9(X!0), X)) | p6(X) | (~p105(X))))))))) | (~((~p104(tptp_fun_X_9(X!0))) | (~((~(p5(tptp_fun_X_9(X!0)) | ![X: $i] : ((~r1(tptp_fun_X_9(X!0), X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(tptp_fun_X_9(X!0))) | ![X: $i] : ((~r1(tptp_fun_X_9(X!0), X)) | p5(X) | (~p104(X))))))))) | (~((~p103(tptp_fun_X_9(X!0))) | (~((~(p4(tptp_fun_X_9(X!0)) | ![X: $i] : ((~r1(tptp_fun_X_9(X!0), X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(tptp_fun_X_9(X!0))) | ![X: $i] : ((~r1(tptp_fun_X_9(X!0), X)) | p4(X) | (~p103(X))))))))) | (~((~p102(tptp_fun_X_9(X!0))) | (~((~(p3(tptp_fun_X_9(X!0)) | ![X: $i] : ((~r1(tptp_fun_X_9(X!0), X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(tptp_fun_X_9(X!0))) | ![X: $i] : (p3(X) | (~r1(tptp_fun_X_9(X!0), X)) | (~p102(X))))))))) | (~((~p101(tptp_fun_X_9(X!0))) | (~((~(p2(tptp_fun_X_9(X!0)) | ![X: $i] : ((~r1(tptp_fun_X_9(X!0), X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(tptp_fun_X_9(X!0))) | ![X: $i] : ((~r1(tptp_fun_X_9(X!0), X)) | p2(X) | (~p101(X))))))))) | (~((~p100(tptp_fun_X_9(X!0))) | (~((~(p1(tptp_fun_X_9(X!0)) | ![X: $i] : ((~r1(tptp_fun_X_9(X!0), X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(tptp_fun_X_9(X!0))) | ![X: $i] : ((~r1(tptp_fun_X_9(X!0), X)) | (~p100(X)) | p1(X)))))))))))),
% 0.10/0.41 inference(quant_inst,[status(thm)],[])).
% 0.10/0.41 tff(96,plain,
% 0.10/0.41 ((~![Y: $i] : ((~r1(X!0, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~(p106(tptp_fun_X_1(Y)) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | (~r1(Y, tptp_fun_X_2(Y))) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~(p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_4(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_4(Y)) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_5(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_6(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))) | (~r1(X!0, tptp_fun_X_9(X!0))) | (~((~(p105(tptp_fun_X_9(X!0)) | (~p104(tptp_fun_X_9(X!0))) | (~(p106(tptp_fun_X_1(tptp_fun_X_9(X!0))) | p6(tptp_fun_X_1(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_1(tptp_fun_X_9(X!0)))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_2(tptp_fun_X_9(X!0)))) | p106(tptp_fun_X_2(tptp_fun_X_9(X!0))) | (~p105(tptp_fun_X_1(tptp_fun_X_9(X!0)))) | (~p6(tptp_fun_X_2(tptp_fun_X_9(X!0)))) | (~p105(tptp_fun_X_2(tptp_fun_X_9(X!0)))))))) | (~(p104(tptp_fun_X_9(X!0)) | (~p103(tptp_fun_X_9(X!0))) | (~(p105(tptp_fun_X_3(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_4(tptp_fun_X_9(X!0)))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_3(tptp_fun_X_9(X!0)))) | p5(tptp_fun_X_3(tptp_fun_X_9(X!0))) | p105(tptp_fun_X_4(tptp_fun_X_9(X!0))) | (~p104(tptp_fun_X_3(tptp_fun_X_9(X!0)))) | (~p5(tptp_fun_X_4(tptp_fun_X_9(X!0)))) | (~p104(tptp_fun_X_4(tptp_fun_X_9(X!0)))))))) | (~(p103(tptp_fun_X_9(X!0)) | (~p102(tptp_fun_X_9(X!0))) | (~((~r1(tptp_fun_X_9(X!0), tptp_fun_X_5(tptp_fun_X_9(X!0)))) | p4(tptp_fun_X_5(tptp_fun_X_9(X!0))) | p104(tptp_fun_X_5(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_6(tptp_fun_X_9(X!0)))) | p104(tptp_fun_X_6(tptp_fun_X_9(X!0))) | (~p103(tptp_fun_X_5(tptp_fun_X_9(X!0)))) | (~p4(tptp_fun_X_6(tptp_fun_X_9(X!0)))) | (~p103(tptp_fun_X_6(tptp_fun_X_9(X!0)))))))) | (~(p102(tptp_fun_X_9(X!0)) | (~p101(tptp_fun_X_9(X!0))) | (~((~r1(tptp_fun_X_9(X!0), tptp_fun_X_7(tptp_fun_X_9(X!0)))) | p3(tptp_fun_X_7(tptp_fun_X_9(X!0))) | p103(tptp_fun_X_7(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_8(tptp_fun_X_9(X!0)))) | p103(tptp_fun_X_8(tptp_fun_X_9(X!0))) | (~p102(tptp_fun_X_7(tptp_fun_X_9(X!0)))) | (~p3(tptp_fun_X_8(tptp_fun_X_9(X!0)))) | (~p102(tptp_fun_X_8(tptp_fun_X_9(X!0)))))))) | (~(p101(tptp_fun_X_9(X!0)) | (~p100(tptp_fun_X_9(X!0))) | (~((~r1(tptp_fun_X_9(X!0), tptp_fun_X_9(tptp_fun_X_9(X!0)))) | p2(tptp_fun_X_9(tptp_fun_X_9(X!0))) | p102(tptp_fun_X_9(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_10(tptp_fun_X_9(X!0)))) | p102(tptp_fun_X_10(tptp_fun_X_9(X!0))) | (~p101(tptp_fun_X_9(tptp_fun_X_9(X!0)))) | (~p2(tptp_fun_X_10(tptp_fun_X_9(X!0)))) | (~p101(tptp_fun_X_10(tptp_fun_X_9(X!0)))))))) | (~(p105(tptp_fun_X_9(X!0)) | (~p106(tptp_fun_X_9(X!0))))) | (~(p104(tptp_fun_X_9(X!0)) | (~p105(tptp_fun_X_9(X!0))))) | (~(p103(tptp_fun_X_9(X!0)) | (~p104(tptp_fun_X_9(X!0))))) | (~(p102(tptp_fun_X_9(X!0)) | (~p103(tptp_fun_X_9(X!0))))) | (~(p101(tptp_fun_X_9(X!0)) | (~p102(tptp_fun_X_9(X!0))))) | (~(p100(tptp_fun_X_9(X!0)) | (~p101(tptp_fun_X_9(X!0))))) | (~((~p105(tptp_fun_X_9(X!0))) | (~((~(p6(tptp_fun_X_9(X!0)) | ![X: $i] : ((~p6(X)) | (~p105(X)) | (~r1(tptp_fun_X_9(X!0), X))))) | (~((~p6(tptp_fun_X_9(X!0))) | ![X: $i] : (p6(X) | (~p105(X)) | (~r1(tptp_fun_X_9(X!0), X))))))))) | (~((~p104(tptp_fun_X_9(X!0))) | (~((~(p5(tptp_fun_X_9(X!0)) | ![X: $i] : ((~p5(X)) | (~p104(X)) | (~r1(tptp_fun_X_9(X!0), X))))) | (~((~p5(tptp_fun_X_9(X!0))) | ![X: $i] : (p5(X) | (~p104(X)) | (~r1(tptp_fun_X_9(X!0), X))))))))) | (~((~p103(tptp_fun_X_9(X!0))) | (~((~(p4(tptp_fun_X_9(X!0)) | ![X: $i] : ((~p4(X)) | (~p103(X)) | (~r1(tptp_fun_X_9(X!0), X))))) | (~((~p4(tptp_fun_X_9(X!0))) | ![X: $i] : (p4(X) | (~p103(X)) | (~r1(tptp_fun_X_9(X!0), X))))))))) | (~((~p102(tptp_fun_X_9(X!0))) | (~((~(p3(tptp_fun_X_9(X!0)) | ![X: $i] : ((~p3(X)) | (~p102(X)) | (~r1(tptp_fun_X_9(X!0), X))))) | (~((~p3(tptp_fun_X_9(X!0))) | ![X: $i] : (p3(X) | (~p102(X)) | (~r1(tptp_fun_X_9(X!0), X))))))))) | (~((~p101(tptp_fun_X_9(X!0))) | (~((~(p2(tptp_fun_X_9(X!0)) | ![X: $i] : ((~p2(X)) | (~p101(X)) | (~r1(tptp_fun_X_9(X!0), X))))) | (~((~p2(tptp_fun_X_9(X!0))) | ![X: $i] : (p2(X) | (~p101(X)) | (~r1(tptp_fun_X_9(X!0), X))))))))) | (~((~p100(tptp_fun_X_9(X!0))) | (~((~(p1(tptp_fun_X_9(X!0)) | ![X: $i] : ((~p100(X)) | (~p1(X)) | (~r1(tptp_fun_X_9(X!0), X))))) | (~((~p1(tptp_fun_X_9(X!0))) | ![X: $i] : ((~p100(X)) | p1(X) | (~r1(tptp_fun_X_9(X!0), X)))))))))))),
% 0.10/0.41 inference(modus_ponens,[status(thm)],[95, 94])).
% 0.10/0.41 tff(97,plain,
% 0.10/0.41 (~((~(p105(tptp_fun_X_9(X!0)) | (~p104(tptp_fun_X_9(X!0))) | (~(p106(tptp_fun_X_1(tptp_fun_X_9(X!0))) | p6(tptp_fun_X_1(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_1(tptp_fun_X_9(X!0)))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_2(tptp_fun_X_9(X!0)))) | p106(tptp_fun_X_2(tptp_fun_X_9(X!0))) | (~p105(tptp_fun_X_1(tptp_fun_X_9(X!0)))) | (~p6(tptp_fun_X_2(tptp_fun_X_9(X!0)))) | (~p105(tptp_fun_X_2(tptp_fun_X_9(X!0)))))))) | (~(p104(tptp_fun_X_9(X!0)) | (~p103(tptp_fun_X_9(X!0))) | (~(p105(tptp_fun_X_3(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_4(tptp_fun_X_9(X!0)))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_3(tptp_fun_X_9(X!0)))) | p5(tptp_fun_X_3(tptp_fun_X_9(X!0))) | p105(tptp_fun_X_4(tptp_fun_X_9(X!0))) | (~p104(tptp_fun_X_3(tptp_fun_X_9(X!0)))) | (~p5(tptp_fun_X_4(tptp_fun_X_9(X!0)))) | (~p104(tptp_fun_X_4(tptp_fun_X_9(X!0)))))))) | (~(p103(tptp_fun_X_9(X!0)) | (~p102(tptp_fun_X_9(X!0))) | (~((~r1(tptp_fun_X_9(X!0), tptp_fun_X_5(tptp_fun_X_9(X!0)))) | p4(tptp_fun_X_5(tptp_fun_X_9(X!0))) | p104(tptp_fun_X_5(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_6(tptp_fun_X_9(X!0)))) | p104(tptp_fun_X_6(tptp_fun_X_9(X!0))) | (~p103(tptp_fun_X_5(tptp_fun_X_9(X!0)))) | (~p4(tptp_fun_X_6(tptp_fun_X_9(X!0)))) | (~p103(tptp_fun_X_6(tptp_fun_X_9(X!0)))))))) | (~(p102(tptp_fun_X_9(X!0)) | (~p101(tptp_fun_X_9(X!0))) | (~((~r1(tptp_fun_X_9(X!0), tptp_fun_X_7(tptp_fun_X_9(X!0)))) | p3(tptp_fun_X_7(tptp_fun_X_9(X!0))) | p103(tptp_fun_X_7(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_8(tptp_fun_X_9(X!0)))) | p103(tptp_fun_X_8(tptp_fun_X_9(X!0))) | (~p102(tptp_fun_X_7(tptp_fun_X_9(X!0)))) | (~p3(tptp_fun_X_8(tptp_fun_X_9(X!0)))) | (~p102(tptp_fun_X_8(tptp_fun_X_9(X!0)))))))) | (~(p101(tptp_fun_X_9(X!0)) | (~p100(tptp_fun_X_9(X!0))) | (~((~r1(tptp_fun_X_9(X!0), tptp_fun_X_9(tptp_fun_X_9(X!0)))) | p2(tptp_fun_X_9(tptp_fun_X_9(X!0))) | p102(tptp_fun_X_9(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_10(tptp_fun_X_9(X!0)))) | p102(tptp_fun_X_10(tptp_fun_X_9(X!0))) | (~p101(tptp_fun_X_9(tptp_fun_X_9(X!0)))) | (~p2(tptp_fun_X_10(tptp_fun_X_9(X!0)))) | (~p101(tptp_fun_X_10(tptp_fun_X_9(X!0)))))))) | (~(p105(tptp_fun_X_9(X!0)) | (~p106(tptp_fun_X_9(X!0))))) | (~(p104(tptp_fun_X_9(X!0)) | (~p105(tptp_fun_X_9(X!0))))) | (~(p103(tptp_fun_X_9(X!0)) | (~p104(tptp_fun_X_9(X!0))))) | (~(p102(tptp_fun_X_9(X!0)) | (~p103(tptp_fun_X_9(X!0))))) | (~(p101(tptp_fun_X_9(X!0)) | (~p102(tptp_fun_X_9(X!0))))) | (~(p100(tptp_fun_X_9(X!0)) | (~p101(tptp_fun_X_9(X!0))))) | (~((~p105(tptp_fun_X_9(X!0))) | (~((~(p6(tptp_fun_X_9(X!0)) | ![X: $i] : ((~p6(X)) | (~p105(X)) | (~r1(tptp_fun_X_9(X!0), X))))) | (~((~p6(tptp_fun_X_9(X!0))) | ![X: $i] : (p6(X) | (~p105(X)) | (~r1(tptp_fun_X_9(X!0), X))))))))) | (~((~p104(tptp_fun_X_9(X!0))) | (~((~(p5(tptp_fun_X_9(X!0)) | ![X: $i] : ((~p5(X)) | (~p104(X)) | (~r1(tptp_fun_X_9(X!0), X))))) | (~((~p5(tptp_fun_X_9(X!0))) | ![X: $i] : (p5(X) | (~p104(X)) | (~r1(tptp_fun_X_9(X!0), X))))))))) | (~((~p103(tptp_fun_X_9(X!0))) | (~((~(p4(tptp_fun_X_9(X!0)) | ![X: $i] : ((~p4(X)) | (~p103(X)) | (~r1(tptp_fun_X_9(X!0), X))))) | (~((~p4(tptp_fun_X_9(X!0))) | ![X: $i] : (p4(X) | (~p103(X)) | (~r1(tptp_fun_X_9(X!0), X))))))))) | (~((~p102(tptp_fun_X_9(X!0))) | (~((~(p3(tptp_fun_X_9(X!0)) | ![X: $i] : ((~p3(X)) | (~p102(X)) | (~r1(tptp_fun_X_9(X!0), X))))) | (~((~p3(tptp_fun_X_9(X!0))) | ![X: $i] : (p3(X) | (~p102(X)) | (~r1(tptp_fun_X_9(X!0), X))))))))) | (~((~p101(tptp_fun_X_9(X!0))) | (~((~(p2(tptp_fun_X_9(X!0)) | ![X: $i] : ((~p2(X)) | (~p101(X)) | (~r1(tptp_fun_X_9(X!0), X))))) | (~((~p2(tptp_fun_X_9(X!0))) | ![X: $i] : (p2(X) | (~p101(X)) | (~r1(tptp_fun_X_9(X!0), X))))))))) | (~((~p100(tptp_fun_X_9(X!0))) | (~((~(p1(tptp_fun_X_9(X!0)) | ![X: $i] : ((~p100(X)) | (~p1(X)) | (~r1(tptp_fun_X_9(X!0), X))))) | (~((~p1(tptp_fun_X_9(X!0))) | ![X: $i] : ((~p100(X)) | p1(X) | (~r1(tptp_fun_X_9(X!0), X))))))))))),
% 0.10/0.41 inference(unit_resolution,[status(thm)],[96, 51, 67])).
% 0.10/0.41 tff(98,plain,
% 0.10/0.41 (((~(p105(tptp_fun_X_9(X!0)) | (~p104(tptp_fun_X_9(X!0))) | (~(p106(tptp_fun_X_1(tptp_fun_X_9(X!0))) | p6(tptp_fun_X_1(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_1(tptp_fun_X_9(X!0)))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_2(tptp_fun_X_9(X!0)))) | p106(tptp_fun_X_2(tptp_fun_X_9(X!0))) | (~p105(tptp_fun_X_1(tptp_fun_X_9(X!0)))) | (~p6(tptp_fun_X_2(tptp_fun_X_9(X!0)))) | (~p105(tptp_fun_X_2(tptp_fun_X_9(X!0)))))))) | (~(p104(tptp_fun_X_9(X!0)) | (~p103(tptp_fun_X_9(X!0))) | (~(p105(tptp_fun_X_3(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_4(tptp_fun_X_9(X!0)))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_3(tptp_fun_X_9(X!0)))) | p5(tptp_fun_X_3(tptp_fun_X_9(X!0))) | p105(tptp_fun_X_4(tptp_fun_X_9(X!0))) | (~p104(tptp_fun_X_3(tptp_fun_X_9(X!0)))) | (~p5(tptp_fun_X_4(tptp_fun_X_9(X!0)))) | (~p104(tptp_fun_X_4(tptp_fun_X_9(X!0)))))))) | (~(p103(tptp_fun_X_9(X!0)) | (~p102(tptp_fun_X_9(X!0))) | (~((~r1(tptp_fun_X_9(X!0), tptp_fun_X_5(tptp_fun_X_9(X!0)))) | p4(tptp_fun_X_5(tptp_fun_X_9(X!0))) | p104(tptp_fun_X_5(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_6(tptp_fun_X_9(X!0)))) | p104(tptp_fun_X_6(tptp_fun_X_9(X!0))) | (~p103(tptp_fun_X_5(tptp_fun_X_9(X!0)))) | (~p4(tptp_fun_X_6(tptp_fun_X_9(X!0)))) | (~p103(tptp_fun_X_6(tptp_fun_X_9(X!0)))))))) | (~(p102(tptp_fun_X_9(X!0)) | (~p101(tptp_fun_X_9(X!0))) | (~((~r1(tptp_fun_X_9(X!0), tptp_fun_X_7(tptp_fun_X_9(X!0)))) | p3(tptp_fun_X_7(tptp_fun_X_9(X!0))) | p103(tptp_fun_X_7(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_8(tptp_fun_X_9(X!0)))) | p103(tptp_fun_X_8(tptp_fun_X_9(X!0))) | (~p102(tptp_fun_X_7(tptp_fun_X_9(X!0)))) | (~p3(tptp_fun_X_8(tptp_fun_X_9(X!0)))) | (~p102(tptp_fun_X_8(tptp_fun_X_9(X!0)))))))) | (~(p101(tptp_fun_X_9(X!0)) | (~p100(tptp_fun_X_9(X!0))) | (~((~r1(tptp_fun_X_9(X!0), tptp_fun_X_9(tptp_fun_X_9(X!0)))) | p2(tptp_fun_X_9(tptp_fun_X_9(X!0))) | p102(tptp_fun_X_9(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_10(tptp_fun_X_9(X!0)))) | p102(tptp_fun_X_10(tptp_fun_X_9(X!0))) | (~p101(tptp_fun_X_9(tptp_fun_X_9(X!0)))) | (~p2(tptp_fun_X_10(tptp_fun_X_9(X!0)))) | (~p101(tptp_fun_X_10(tptp_fun_X_9(X!0)))))))) | (~(p105(tptp_fun_X_9(X!0)) | (~p106(tptp_fun_X_9(X!0))))) | (~(p104(tptp_fun_X_9(X!0)) | (~p105(tptp_fun_X_9(X!0))))) | (~(p103(tptp_fun_X_9(X!0)) | (~p104(tptp_fun_X_9(X!0))))) | (~(p102(tptp_fun_X_9(X!0)) | (~p103(tptp_fun_X_9(X!0))))) | (~(p101(tptp_fun_X_9(X!0)) | (~p102(tptp_fun_X_9(X!0))))) | (~(p100(tptp_fun_X_9(X!0)) | (~p101(tptp_fun_X_9(X!0))))) | (~((~p105(tptp_fun_X_9(X!0))) | (~((~(p6(tptp_fun_X_9(X!0)) | ![X: $i] : ((~p6(X)) | (~p105(X)) | (~r1(tptp_fun_X_9(X!0), X))))) | (~((~p6(tptp_fun_X_9(X!0))) | ![X: $i] : (p6(X) | (~p105(X)) | (~r1(tptp_fun_X_9(X!0), X))))))))) | (~((~p104(tptp_fun_X_9(X!0))) | (~((~(p5(tptp_fun_X_9(X!0)) | ![X: $i] : ((~p5(X)) | (~p104(X)) | (~r1(tptp_fun_X_9(X!0), X))))) | (~((~p5(tptp_fun_X_9(X!0))) | ![X: $i] : (p5(X) | (~p104(X)) | (~r1(tptp_fun_X_9(X!0), X))))))))) | (~((~p103(tptp_fun_X_9(X!0))) | (~((~(p4(tptp_fun_X_9(X!0)) | ![X: $i] : ((~p4(X)) | (~p103(X)) | (~r1(tptp_fun_X_9(X!0), X))))) | (~((~p4(tptp_fun_X_9(X!0))) | ![X: $i] : (p4(X) | (~p103(X)) | (~r1(tptp_fun_X_9(X!0), X))))))))) | (~((~p102(tptp_fun_X_9(X!0))) | (~((~(p3(tptp_fun_X_9(X!0)) | ![X: $i] : ((~p3(X)) | (~p102(X)) | (~r1(tptp_fun_X_9(X!0), X))))) | (~((~p3(tptp_fun_X_9(X!0))) | ![X: $i] : (p3(X) | (~p102(X)) | (~r1(tptp_fun_X_9(X!0), X))))))))) | (~((~p101(tptp_fun_X_9(X!0))) | (~((~(p2(tptp_fun_X_9(X!0)) | ![X: $i] : ((~p2(X)) | (~p101(X)) | (~r1(tptp_fun_X_9(X!0), X))))) | (~((~p2(tptp_fun_X_9(X!0))) | ![X: $i] : (p2(X) | (~p101(X)) | (~r1(tptp_fun_X_9(X!0), X))))))))) | (~((~p100(tptp_fun_X_9(X!0))) | (~((~(p1(tptp_fun_X_9(X!0)) | ![X: $i] : ((~p100(X)) | (~p1(X)) | (~r1(tptp_fun_X_9(X!0), X))))) | (~((~p1(tptp_fun_X_9(X!0))) | ![X: $i] : ((~p100(X)) | p1(X) | (~r1(tptp_fun_X_9(X!0), X)))))))))) | (p102(tptp_fun_X_9(X!0)) | (~p101(tptp_fun_X_9(X!0))) | (~((~r1(tptp_fun_X_9(X!0), tptp_fun_X_7(tptp_fun_X_9(X!0)))) | p3(tptp_fun_X_7(tptp_fun_X_9(X!0))) | p103(tptp_fun_X_7(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_8(tptp_fun_X_9(X!0)))) | p103(tptp_fun_X_8(tptp_fun_X_9(X!0))) | (~p102(tptp_fun_X_7(tptp_fun_X_9(X!0)))) | (~p3(tptp_fun_X_8(tptp_fun_X_9(X!0)))) | (~p102(tptp_fun_X_8(tptp_fun_X_9(X!0)))))))),
% 0.10/0.42 inference(tautology,[status(thm)],[])).
% 0.10/0.42 tff(99,plain,
% 0.10/0.42 (p102(tptp_fun_X_9(X!0)) | (~p101(tptp_fun_X_9(X!0))) | (~((~r1(tptp_fun_X_9(X!0), tptp_fun_X_7(tptp_fun_X_9(X!0)))) | p3(tptp_fun_X_7(tptp_fun_X_9(X!0))) | p103(tptp_fun_X_7(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_8(tptp_fun_X_9(X!0)))) | p103(tptp_fun_X_8(tptp_fun_X_9(X!0))) | (~p102(tptp_fun_X_7(tptp_fun_X_9(X!0)))) | (~p3(tptp_fun_X_8(tptp_fun_X_9(X!0)))) | (~p102(tptp_fun_X_8(tptp_fun_X_9(X!0))))))),
% 0.10/0.42 inference(unit_resolution,[status(thm)],[98, 97])).
% 0.10/0.42 tff(100,plain,
% 0.10/0.42 (((~p101(tptp_fun_X_9(X!0))) | (~r1(X!0, tptp_fun_X_10(X!0))) | p102(tptp_fun_X_10(X!0)) | p102(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))) | p2(tptp_fun_X_9(X!0)) | (~p2(tptp_fun_X_10(X!0))) | (~p101(tptp_fun_X_10(X!0)))) | (~p102(tptp_fun_X_9(X!0)))),
% 0.10/0.42 inference(tautology,[status(thm)],[])).
% 0.10/0.42 tff(101,plain,
% 0.10/0.42 (~p102(tptp_fun_X_9(X!0))),
% 0.10/0.42 inference(unit_resolution,[status(thm)],[100, 65])).
% 0.10/0.42 tff(102,plain,
% 0.10/0.42 (((~p101(tptp_fun_X_9(X!0))) | (~r1(X!0, tptp_fun_X_10(X!0))) | p102(tptp_fun_X_10(X!0)) | p102(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))) | p2(tptp_fun_X_9(X!0)) | (~p2(tptp_fun_X_10(X!0))) | (~p101(tptp_fun_X_10(X!0)))) | p101(tptp_fun_X_9(X!0))),
% 0.10/0.42 inference(tautology,[status(thm)],[])).
% 0.10/0.42 tff(103,plain,
% 0.10/0.42 (p101(tptp_fun_X_9(X!0))),
% 0.10/0.42 inference(unit_resolution,[status(thm)],[102, 65])).
% 0.10/0.42 tff(104,plain,
% 0.10/0.42 ((~(p102(tptp_fun_X_9(X!0)) | (~p101(tptp_fun_X_9(X!0))) | (~((~r1(tptp_fun_X_9(X!0), tptp_fun_X_7(tptp_fun_X_9(X!0)))) | p3(tptp_fun_X_7(tptp_fun_X_9(X!0))) | p103(tptp_fun_X_7(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_8(tptp_fun_X_9(X!0)))) | p103(tptp_fun_X_8(tptp_fun_X_9(X!0))) | (~p102(tptp_fun_X_7(tptp_fun_X_9(X!0)))) | (~p3(tptp_fun_X_8(tptp_fun_X_9(X!0)))) | (~p102(tptp_fun_X_8(tptp_fun_X_9(X!0)))))))) | p102(tptp_fun_X_9(X!0)) | (~p101(tptp_fun_X_9(X!0))) | (~((~r1(tptp_fun_X_9(X!0), tptp_fun_X_7(tptp_fun_X_9(X!0)))) | p3(tptp_fun_X_7(tptp_fun_X_9(X!0))) | p103(tptp_fun_X_7(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_8(tptp_fun_X_9(X!0)))) | p103(tptp_fun_X_8(tptp_fun_X_9(X!0))) | (~p102(tptp_fun_X_7(tptp_fun_X_9(X!0)))) | (~p3(tptp_fun_X_8(tptp_fun_X_9(X!0)))) | (~p102(tptp_fun_X_8(tptp_fun_X_9(X!0))))))),
% 0.10/0.42 inference(tautology,[status(thm)],[])).
% 0.10/0.42 tff(105,plain,
% 0.10/0.42 ((~(p102(tptp_fun_X_9(X!0)) | (~p101(tptp_fun_X_9(X!0))) | (~((~r1(tptp_fun_X_9(X!0), tptp_fun_X_7(tptp_fun_X_9(X!0)))) | p3(tptp_fun_X_7(tptp_fun_X_9(X!0))) | p103(tptp_fun_X_7(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_8(tptp_fun_X_9(X!0)))) | p103(tptp_fun_X_8(tptp_fun_X_9(X!0))) | (~p102(tptp_fun_X_7(tptp_fun_X_9(X!0)))) | (~p3(tptp_fun_X_8(tptp_fun_X_9(X!0)))) | (~p102(tptp_fun_X_8(tptp_fun_X_9(X!0)))))))) | (~((~r1(tptp_fun_X_9(X!0), tptp_fun_X_7(tptp_fun_X_9(X!0)))) | p3(tptp_fun_X_7(tptp_fun_X_9(X!0))) | p103(tptp_fun_X_7(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_8(tptp_fun_X_9(X!0)))) | p103(tptp_fun_X_8(tptp_fun_X_9(X!0))) | (~p102(tptp_fun_X_7(tptp_fun_X_9(X!0)))) | (~p3(tptp_fun_X_8(tptp_fun_X_9(X!0)))) | (~p102(tptp_fun_X_8(tptp_fun_X_9(X!0))))))),
% 0.10/0.42 inference(unit_resolution,[status(thm)],[104, 103, 101])).
% 0.10/0.42 tff(106,plain,
% 0.10/0.42 (~((~r1(tptp_fun_X_9(X!0), tptp_fun_X_7(tptp_fun_X_9(X!0)))) | p3(tptp_fun_X_7(tptp_fun_X_9(X!0))) | p103(tptp_fun_X_7(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_8(tptp_fun_X_9(X!0)))) | p103(tptp_fun_X_8(tptp_fun_X_9(X!0))) | (~p102(tptp_fun_X_7(tptp_fun_X_9(X!0)))) | (~p3(tptp_fun_X_8(tptp_fun_X_9(X!0)))) | (~p102(tptp_fun_X_8(tptp_fun_X_9(X!0)))))),
% 0.10/0.42 inference(unit_resolution,[status(thm)],[105, 99])).
% 0.10/0.42 tff(107,plain,
% 0.10/0.42 (((~r1(tptp_fun_X_9(X!0), tptp_fun_X_7(tptp_fun_X_9(X!0)))) | p3(tptp_fun_X_7(tptp_fun_X_9(X!0))) | p103(tptp_fun_X_7(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_8(tptp_fun_X_9(X!0)))) | p103(tptp_fun_X_8(tptp_fun_X_9(X!0))) | (~p102(tptp_fun_X_7(tptp_fun_X_9(X!0)))) | (~p3(tptp_fun_X_8(tptp_fun_X_9(X!0)))) | (~p102(tptp_fun_X_8(tptp_fun_X_9(X!0))))) | (~p3(tptp_fun_X_7(tptp_fun_X_9(X!0))))),
% 0.10/0.42 inference(tautology,[status(thm)],[])).
% 0.10/0.42 tff(108,plain,
% 0.10/0.42 (~p3(tptp_fun_X_7(tptp_fun_X_9(X!0)))),
% 0.10/0.42 inference(unit_resolution,[status(thm)],[107, 106])).
% 0.10/0.42 tff(109,plain,
% 0.10/0.42 (((~r1(tptp_fun_X_9(X!0), tptp_fun_X_7(tptp_fun_X_9(X!0)))) | p3(tptp_fun_X_7(tptp_fun_X_9(X!0))) | p103(tptp_fun_X_7(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_8(tptp_fun_X_9(X!0)))) | p103(tptp_fun_X_8(tptp_fun_X_9(X!0))) | (~p102(tptp_fun_X_7(tptp_fun_X_9(X!0)))) | (~p3(tptp_fun_X_8(tptp_fun_X_9(X!0)))) | (~p102(tptp_fun_X_8(tptp_fun_X_9(X!0))))) | r1(tptp_fun_X_9(X!0), tptp_fun_X_7(tptp_fun_X_9(X!0)))),
% 0.10/0.42 inference(tautology,[status(thm)],[])).
% 0.10/0.42 tff(110,plain,
% 0.10/0.42 (r1(tptp_fun_X_9(X!0), tptp_fun_X_7(tptp_fun_X_9(X!0)))),
% 0.10/0.42 inference(unit_resolution,[status(thm)],[109, 106])).
% 0.10/0.42 tff(111,plain,
% 0.10/0.42 (((~![Y: $i] : (p3(Y) | (~r1(tptp_fun_X_9(X!0), Y)))) | (p3(tptp_fun_X_7(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_7(tptp_fun_X_9(X!0)))))) <=> ((~![Y: $i] : (p3(Y) | (~r1(tptp_fun_X_9(X!0), Y)))) | p3(tptp_fun_X_7(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_7(tptp_fun_X_9(X!0)))))),
% 0.10/0.42 inference(rewrite,[status(thm)],[])).
% 0.10/0.42 tff(112,plain,
% 0.10/0.42 ((~![Y: $i] : (p3(Y) | (~r1(tptp_fun_X_9(X!0), Y)))) | (p3(tptp_fun_X_7(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_7(tptp_fun_X_9(X!0)))))),
% 0.10/0.42 inference(quant_inst,[status(thm)],[])).
% 0.10/0.42 tff(113,plain,
% 0.10/0.42 ((~![Y: $i] : (p3(Y) | (~r1(tptp_fun_X_9(X!0), Y)))) | p3(tptp_fun_X_7(tptp_fun_X_9(X!0))) | (~r1(tptp_fun_X_9(X!0), tptp_fun_X_7(tptp_fun_X_9(X!0))))),
% 0.10/0.42 inference(modus_ponens,[status(thm)],[112, 111])).
% 0.10/0.42 tff(114,plain,
% 0.10/0.42 ($false),
% 0.10/0.42 inference(unit_resolution,[status(thm)],[113, 110, 108, 90])).
% 0.10/0.42 % SZS output end Proof
%------------------------------------------------------------------------------