TSTP Solution File: LCL684+1.005 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : LCL684+1.005 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n012.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 04:57:53 EDT 2022
% Result : Theorem 0.73s 0.70s
% Output : Proof 1.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL684+1.005 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Sep 2 00:15:34 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 0.73/0.70 % SZS status Theorem
% 0.73/0.70 % SZS output start Proof
% 0.73/0.70 tff(r1_type, type, (
% 0.73/0.70 r1: ( $i * $i ) > $o)).
% 0.73/0.70 tff(tptp_fun_X_0_type, type, (
% 0.73/0.70 tptp_fun_X_0: $i)).
% 0.73/0.70 tff(p203_type, type, (
% 0.73/0.70 p203: $i > $o)).
% 0.73/0.70 tff(p202_type, type, (
% 0.73/0.70 p202: $i > $o)).
% 0.73/0.70 tff(p102_type, type, (
% 0.73/0.70 p102: $i > $o)).
% 0.73/0.70 tff(tptp_fun_Y_5_type, type, (
% 0.73/0.70 tptp_fun_Y_5: $i > $i)).
% 0.73/0.70 tff(p103_type, type, (
% 0.73/0.70 p103: $i > $o)).
% 0.73/0.70 tff(p104_type, type, (
% 0.73/0.70 p104: $i > $o)).
% 0.73/0.70 tff(tptp_fun_Y_9_type, type, (
% 0.73/0.70 tptp_fun_Y_9: $i > $i)).
% 0.73/0.70 tff(p304_type, type, (
% 0.73/0.70 p304: $i > $o)).
% 0.73/0.70 tff(tptp_fun_Y_10_type, type, (
% 0.73/0.70 tptp_fun_Y_10: $i > $i)).
% 0.73/0.70 tff(p302_type, type, (
% 0.73/0.70 p302: $i > $o)).
% 0.73/0.70 tff(p502_type, type, (
% 0.73/0.70 p502: $i > $o)).
% 0.73/0.70 tff(p205_type, type, (
% 0.73/0.70 p205: $i > $o)).
% 0.73/0.70 tff(tptp_fun_Y_3_type, type, (
% 0.73/0.70 tptp_fun_Y_3: $i > $i)).
% 0.73/0.70 tff(p505_type, type, (
% 0.73/0.70 p505: $i > $o)).
% 0.73/0.70 tff(p503_type, type, (
% 0.73/0.70 p503: $i > $o)).
% 0.73/0.70 tff(p105_type, type, (
% 0.73/0.70 p105: $i > $o)).
% 0.73/0.70 tff(tptp_fun_Y_4_type, type, (
% 0.73/0.70 tptp_fun_Y_4: $i > $i)).
% 0.73/0.70 tff(p605_type, type, (
% 0.73/0.70 p605: $i > $o)).
% 0.73/0.70 tff(p501_type, type, (
% 0.73/0.70 p501: $i > $o)).
% 0.73/0.70 tff(p401_type, type, (
% 0.73/0.70 p401: $i > $o)).
% 0.73/0.70 tff(p201_type, type, (
% 0.73/0.70 p201: $i > $o)).
% 0.73/0.70 tff(p402_type, type, (
% 0.73/0.70 p402: $i > $o)).
% 0.73/0.70 tff(p305_type, type, (
% 0.73/0.70 p305: $i > $o)).
% 0.73/0.70 tff(tptp_fun_Y_2_type, type, (
% 0.73/0.70 tptp_fun_Y_2: $i > $i)).
% 0.73/0.70 tff(p405_type, type, (
% 0.73/0.70 p405: $i > $o)).
% 0.73/0.70 tff(tptp_fun_Y_1_type, type, (
% 0.73/0.70 tptp_fun_Y_1: $i > $i)).
% 0.73/0.70 tff(p101_type, type, (
% 0.73/0.70 p101: $i > $o)).
% 0.73/0.70 tff(p301_type, type, (
% 0.73/0.70 p301: $i > $o)).
% 0.73/0.70 tff(p601_type, type, (
% 0.73/0.70 p601: $i > $o)).
% 0.73/0.70 tff(tptp_fun_Y_7_type, type, (
% 0.73/0.70 tptp_fun_Y_7: $i > $i)).
% 0.73/0.70 tff(tptp_fun_Y_6_type, type, (
% 0.73/0.70 tptp_fun_Y_6: $i > $i)).
% 0.73/0.70 tff(p603_type, type, (
% 0.73/0.70 p603: $i > $o)).
% 0.73/0.70 tff(p403_type, type, (
% 0.73/0.70 p403: $i > $o)).
% 0.73/0.70 tff(p204_type, type, (
% 0.73/0.70 p204: $i > $o)).
% 0.73/0.70 tff(tptp_fun_Y_8_type, type, (
% 0.73/0.70 tptp_fun_Y_8: $i > $i)).
% 0.73/0.70 tff(p504_type, type, (
% 0.73/0.70 p504: $i > $o)).
% 0.73/0.70 tff(p404_type, type, (
% 0.73/0.70 p404: $i > $o)).
% 0.73/0.70 tff(p604_type, type, (
% 0.73/0.70 p604: $i > $o)).
% 0.73/0.70 tff(p602_type, type, (
% 0.73/0.70 p602: $i > $o)).
% 0.73/0.70 tff(p303_type, type, (
% 0.73/0.70 p303: $i > $o)).
% 0.73/0.70 tff(1,assumption,(~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))), introduced(assumption)).
% 0.73/0.70 tff(2,assumption,(~p202(X!0)), introduced(assumption)).
% 0.73/0.70 tff(3,assumption,(~p505(X!0)), introduced(assumption)).
% 0.73/0.70 tff(4,assumption,(~p401(X!0)), introduced(assumption)).
% 0.73/0.70 tff(5,assumption,(~p302(X!0)), introduced(assumption)).
% 0.73/0.70 tff(6,assumption,(~p402(X!0)), introduced(assumption)).
% 0.73/0.70 tff(7,assumption,(p605(X!0)), introduced(assumption)).
% 0.73/0.70 tff(8,plain,
% 0.73/0.70 (^[X: $i] : refl(r1(X, X) <=> r1(X, X))),
% 0.73/0.70 inference(bind,[status(th)],[])).
% 0.73/0.70 tff(9,plain,
% 0.73/0.70 (![X: $i] : r1(X, X) <=> ![X: $i] : r1(X, X)),
% 0.73/0.70 inference(quant_intro,[status(thm)],[8])).
% 0.73/0.70 tff(10,plain,
% 0.73/0.70 (![X: $i] : r1(X, X) <=> ![X: $i] : r1(X, X)),
% 0.73/0.70 inference(rewrite,[status(thm)],[])).
% 0.73/0.70 tff(11,axiom,(![X: $i] : r1(X, X)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','reflexivity')).
% 0.73/0.70 tff(12,plain,
% 0.73/0.70 (![X: $i] : r1(X, X)),
% 0.73/0.70 inference(modus_ponens,[status(thm)],[11, 10])).
% 0.73/0.70 tff(13,plain,(
% 0.73/0.70 ![X: $i] : r1(X, X)),
% 0.73/0.70 inference(skolemize,[status(sab)],[12])).
% 0.73/0.70 tff(14,plain,
% 0.73/0.70 (![X: $i] : r1(X, X)),
% 0.73/0.70 inference(modus_ponens,[status(thm)],[13, 9])).
% 0.73/0.70 tff(15,plain,
% 0.73/0.70 ((~![X: $i] : r1(X, X)) | r1(X!0, X!0)),
% 0.73/0.70 inference(quant_inst,[status(thm)],[])).
% 0.73/0.70 tff(16,plain,
% 0.73/0.70 (r1(X!0, X!0)),
% 0.73/0.70 inference(unit_resolution,[status(thm)],[15, 14])).
% 0.73/0.70 tff(17,plain,
% 0.73/0.70 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~p605(X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~p302(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~p402(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~p502(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p302(X)) | (~p402(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p302(X)) | (~p502(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p302(X)) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p402(X)) | (~p502(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p402(X)) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p502(X)) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p303(X)) | (~p403(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p303(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p303(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~p605(X))))))) <=> ((~r1(X!0, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~p302(X)) | (~p402(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p302(X)) | (~p502(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~p502(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p302(X)) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p605(X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p402(X)) | (~p502(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p402(X)) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p502(X)) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~p302(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~p402(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p303(X)) | (~p403(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p303(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p303(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~p605(X))))))))),
% 0.73/0.71 inference(bind,[status(th)],[])).
% 0.73/0.71 tff(18,plain,
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p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~p302(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~p402(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~p502(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p302(X)) | (~p402(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p302(X)) | (~p502(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p302(X)) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p402(X)) | (~p502(X)))) | (~![X: $i] : ((~r1(Y, X)) | 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tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~p605(X))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~p302(X)) | (~p402(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p302(X)) | (~p502(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~p502(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | 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tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p302(X)) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p605(X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p402(X)) | (~p502(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p402(X)) | 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p102(tptp_fun_Y_5(X)))) | (~p302(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p303(X)) | (~p403(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p303(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p303(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~p605(X)))))))),
% 0.73/0.71 inference(quant_intro,[status(thm)],[17])).
% 0.73/0.71 tff(19,plain,
% 0.73/0.71 (^[Y: $i] : refl(((~r1(X!0, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~p605(X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | 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(~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, 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(~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~p302(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~p402(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~p502(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p302(X)) | (~p402(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p302(X)) | (~p502(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p302(X)) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p402(X)) | (~p502(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p402(X)) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p502(X)) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p303(X)) | (~p403(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p303(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p303(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~p605(X))))))))),
% 0.73/0.72 inference(bind,[status(th)],[])).
% 0.73/0.72 tff(20,plain,
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p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | 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(~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, 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(~r1(X, tptp_fun_Y_1(X))))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~p302(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~p402(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~p502(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p302(X)) | (~p402(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p302(X)) | (~p502(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p302(X)) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p402(X)) | (~p502(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p402(X)) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p502(X)) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p303(X)) | (~p403(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p303(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p303(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~p605(X)))))))),
% 0.73/0.72 inference(quant_intro,[status(thm)],[19])).
% 0.73/0.72 tff(21,plain,
% 0.73/0.72 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~p605(X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~p302(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~p402(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~p502(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p302(X)) | (~p402(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p302(X)) | (~p502(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p302(X)) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p402(X)) | (~p502(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p402(X)) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p502(X)) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p303(X)) | (~p403(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p303(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p303(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~p605(X))))))) <=> ((~r1(X!0, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~p605(X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~p302(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~p402(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~p502(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p302(X)) | (~p402(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p302(X)) | (~p502(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p302(X)) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p402(X)) | (~p502(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p402(X)) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p502(X)) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p303(X)) | (~p403(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p303(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p303(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~p605(X))))))))),
% 0.73/0.72 inference(bind,[status(th)],[])).
% 0.73/0.72 tff(22,plain,
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tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~p605(X))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~p605(X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | 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p103(tptp_fun_Y_7(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p303(X)) | (~p403(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p303(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p303(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | 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p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~p605(X)))))))),
% 0.73/0.73 inference(quant_intro,[status(thm)],[21])).
% 0.73/0.73 tff(23,plain,
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p103(tptp_fun_Y_7(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p303(X)) | (~p403(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p303(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p303(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~p605(X)))))))),
% 0.73/0.73 inference(transitivity,[status(thm)],[22, 20])).
% 0.73/0.73 tff(24,plain,
% 0.73/0.73 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X))) & ![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X))) & ![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~p605(X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p201(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p301(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p301(X) & p201(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p201(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p201(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p201(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p301(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p301(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p301(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p401(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p401(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p501(X)))) & ![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X))) & ![X: $i] : ((~r1(Y, X)) | (~(p302(X) & p202(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p402(X) & p202(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p202(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p202(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p402(X) & p302(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p302(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p302(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p402(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p402(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p502(X)))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p403(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p503(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p603(X))) & ![X: $i] : ((~r1(Y, X)) | (~(p403(X) & p303(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p503(X) & p303(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p303(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p503(X) & p403(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p403(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p503(X)))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X))) & ![X: $i] : ((~r1(Y, X)) | (~(p504(X) & p404(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p604(X) & p404(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p604(X) & p504(X)))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X))))) & ![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X))) & ![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X))) & ![X: $i] : ((~r1(Y, X)) | (~(p605(X) & p505(X)))))) <=> ((~r1(X!0, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~p605(X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~p302(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~p402(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~p502(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p302(X)) | (~p402(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p302(X)) | (~p502(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p302(X)) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p402(X)) | (~p502(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p402(X)) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p502(X)) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p303(X)) | (~p403(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p303(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p303(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~p605(X))))))))),
% 0.73/0.73 inference(bind,[status(th)],[])).
% 0.73/0.73 tff(25,plain,
% 0.73/0.73 (![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X))) & ![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X))) & ![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~p605(X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p201(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p301(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p301(X) & p201(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p201(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p201(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p201(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p301(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p301(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p301(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p401(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p401(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p501(X)))) & ![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X))) & ![X: $i] : ((~r1(Y, X)) | (~(p302(X) & p202(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p402(X) & p202(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p202(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p202(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p402(X) & p302(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p302(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p302(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p402(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p402(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p502(X)))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p403(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p503(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p603(X))) & ![X: $i] : ((~r1(Y, X)) | (~(p403(X) & p303(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p503(X) & p303(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p303(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p503(X) & p403(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p403(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p503(X)))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X))) & ![X: $i] : ((~r1(Y, X)) | (~(p504(X) & p404(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p604(X) & p404(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p604(X) & p504(X)))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X))))) & ![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X))) & ![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X))) & ![X: $i] : ((~r1(Y, X)) | (~(p605(X) & p505(X)))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~p605(X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~p302(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~p402(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~p502(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p302(X)) | (~p402(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p302(X)) | (~p502(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p302(X)) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p402(X)) | (~p502(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p402(X)) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p502(X)) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p303(X)) | (~p403(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p303(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p303(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~p605(X)))))))),
% 0.73/0.74 inference(quant_intro,[status(thm)],[24])).
% 0.73/0.74 tff(26,plain,
% 0.73/0.74 ((![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X))) & ![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X))) & ![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~p605(X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p201(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p301(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p301(X) & p201(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p201(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p201(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p201(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p301(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p301(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p301(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p401(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p401(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p501(X)))) & ![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X))) & ![X: $i] : ((~r1(Y, X)) | (~(p302(X) & p202(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p402(X) & p202(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p202(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p202(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p402(X) & p302(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p302(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p302(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p402(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p402(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p502(X)))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p403(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p503(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p603(X))) & ![X: $i] : ((~r1(Y, X)) | (~(p403(X) & p303(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p503(X) & p303(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p303(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p503(X) & p403(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p403(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p503(X)))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X))) & ![X: $i] : ((~r1(Y, X)) | (~(p504(X) & p404(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p604(X) & p404(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p604(X) & p504(X)))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X))))) & ![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X))) & ![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X))) & ![X: $i] : ((~r1(Y, X)) | (~(p605(X) & p505(X)))))) & ((p605(X!0) | p604(X!0) | p602(X!0) | p603(X!0) | p601(X!0)) & (p504(X!0) | p503(X!0) | p502(X!0) | p501(X!0) | p505(X!0)) & (p402(X!0) | p401(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p403(X!0) | p404(X!0)) & (![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p302(X!0) | p303(X!0) | p301(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y)))) & (p202(X!0) | p201(X!0) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y)))) & (p101(X!0) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y)))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X))) & ![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X))) & ![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~p605(X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p201(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p301(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p301(X) & p201(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p201(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p201(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p201(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p301(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p301(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p301(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p401(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p401(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p501(X)))) & ![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X))) & ![X: $i] : ((~r1(Y, X)) | (~(p302(X) & p202(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p402(X) & p202(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p202(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p202(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p402(X) & p302(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p302(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p302(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p402(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p402(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p502(X)))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p403(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p503(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p603(X))) & ![X: $i] : ((~r1(Y, X)) | (~(p403(X) & p303(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p503(X) & p303(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p303(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p503(X) & p403(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p403(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p503(X)))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X))) & ![X: $i] : ((~r1(Y, X)) | (~(p504(X) & p404(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p604(X) & p404(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p604(X) & p504(X)))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X))))) & ![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X))) & ![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X))) & ![X: $i] : ((~r1(Y, X)) | (~(p605(X) & p505(X)))))) & (p605(X!0) | p604(X!0) | p602(X!0) | p603(X!0) | p601(X!0)) & (p504(X!0) | p503(X!0) | p502(X!0) | p501(X!0) | p505(X!0)) & (p402(X!0) | p401(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p403(X!0) | p404(X!0)) & (![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p302(X!0) | p303(X!0) | p301(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y)))) & (p202(X!0) | p201(X!0) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y)))) & (p101(X!0) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y)))))),
% 0.73/0.74 inference(rewrite,[status(thm)],[])).
% 0.73/0.74 tff(27,plain,
% 0.73/0.74 (((p605(X!0) | p604(X!0) | p603(X!0) | p602(X!0) | p601(X!0)) & (p505(X!0) | p504(X!0) | p503(X!0) | p502(X!0) | p501(X!0)) & (![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p404(X!0) | p403(X!0) | p402(X!0) | p401(X!0)) & (![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | p304(Y)) | p303(X!0) | p302(X!0) | p301(X!0)) & (![Y: $i] : ((~r1(X!0, Y)) | p205(Y)) | ![Y: $i] : ((~r1(X!0, Y)) | p204(Y)) | ![Y: $i] : ((~r1(X!0, Y)) | p203(Y)) | p202(X!0) | p201(X!0)) & (![Y: $i] : ((~r1(X!0, Y)) | p105(Y)) | ![Y: $i] : ((~r1(X!0, Y)) | p104(Y)) | ![Y: $i] : ((~r1(X!0, Y)) | p103(Y)) | ![Y: $i] : ((~r1(X!0, Y)) | p102(Y)) | p101(X!0))) <=> ((p605(X!0) | p604(X!0) | p602(X!0) | p603(X!0) | p601(X!0)) & (p504(X!0) | p503(X!0) | p502(X!0) | p501(X!0) | p505(X!0)) & (p402(X!0) | p401(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p403(X!0) | p404(X!0)) & (![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p302(X!0) | p303(X!0) | p301(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y)))) & (p202(X!0) | p201(X!0) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y)))) & (p101(X!0) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y)))))),
% 0.73/0.74 inference(rewrite,[status(thm)],[])).
% 0.73/0.74 tff(28,plain,
% 0.73/0.74 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | ((~p605(X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))))) & ![X: $i] : ((~r1(Y, X)) | ((~p505(X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))))) & ![X: $i] : ((~r1(Y, X)) | ((~p505(X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | ((~p605(X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p201(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p301(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p301(X) & p201(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p201(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p201(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p201(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p301(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p301(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p301(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p401(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p401(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p501(X)))) & ![X: $i] : ((~r1(Y, X)) | ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p302(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p402(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p502(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p602(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p302(X) & p202(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p402(X) & p202(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p202(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p202(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p402(X) & p302(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p302(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p302(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p402(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p402(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p502(X)))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p303(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p403(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p503(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p603(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p303(X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p403(X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p503(X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p603(X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p403(X) & p303(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p503(X) & p303(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p303(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p503(X) & p403(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p403(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p503(X)))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p404(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p504(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p604(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p404(X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p504(X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p604(X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p404(X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p504(X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p604(X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p504(X) & p404(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p604(X) & p404(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p604(X) & p504(X)))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p605(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p605(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p605(X) & p505(X)))))) <=> ((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X))) & ![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X))) & ![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~p605(X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p201(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p301(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p301(X) & p201(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p201(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p201(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p201(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p301(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p301(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p301(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p401(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p401(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p501(X)))) & ![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X))) & ![X: $i] : ((~r1(Y, X)) | (~(p302(X) & p202(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p402(X) & p202(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p202(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p202(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p402(X) & p302(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p302(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p302(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p402(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p402(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p502(X)))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p403(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p503(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p603(X))) & ![X: $i] : ((~r1(Y, X)) | (~(p403(X) & p303(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p503(X) & p303(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p303(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p503(X) & p403(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p403(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p503(X)))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X))) & ![X: $i] : ((~r1(Y, X)) | (~(p504(X) & p404(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p604(X) & p404(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p604(X) & p504(X)))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X))))) & ![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X))) & ![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X))) & ![X: $i] : ((~r1(Y, X)) | (~(p605(X) & p505(X)))))))),
% 0.73/0.75 inference(bind,[status(th)],[])).
% 0.73/0.75 tff(29,plain,
% 0.73/0.75 (![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | ((~p605(X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))))) & ![X: $i] : ((~r1(Y, X)) | ((~p505(X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))))) & ![X: $i] : ((~r1(Y, X)) | ((~p505(X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | ((~p605(X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p201(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p301(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p301(X) & p201(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p201(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p201(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p201(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p301(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p301(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p301(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p401(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p401(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p501(X)))) & ![X: $i] : ((~r1(Y, X)) | ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p302(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p402(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p502(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p602(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p302(X) & p202(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p402(X) & p202(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p202(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p202(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p402(X) & p302(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p302(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p302(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p402(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p402(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p502(X)))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p303(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p403(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p503(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p603(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p303(X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p403(X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p503(X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p603(X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p403(X) & p303(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p503(X) & p303(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p303(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p503(X) & p403(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p403(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p503(X)))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p404(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p504(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p604(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p404(X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p504(X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p604(X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p404(X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p504(X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p604(X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p504(X) & p404(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p604(X) & p404(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p604(X) & p504(X)))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p605(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p605(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p605(X) & p505(X)))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X))) & ![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X))) & ![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~p605(X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p201(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p301(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p301(X) & p201(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p201(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p201(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p201(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p301(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p301(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p301(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p401(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p401(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p501(X)))) & ![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X))) & ![X: $i] : ((~r1(Y, X)) | (~(p302(X) & p202(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p402(X) & p202(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p202(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p202(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p402(X) & p302(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p302(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p302(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p402(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p402(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p502(X)))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p403(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p503(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p603(X))) & ![X: $i] : ((~r1(Y, X)) | (~(p403(X) & p303(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p503(X) & p303(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p303(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p503(X) & p403(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p403(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p503(X)))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X))) & ![X: $i] : ((~r1(Y, X)) | (~(p504(X) & p404(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p604(X) & p404(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p604(X) & p504(X)))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X))))) & ![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X))) & ![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X))) & ![X: $i] : ((~r1(Y, X)) | (~(p605(X) & p505(X))))))),
% 0.73/0.75 inference(quant_intro,[status(thm)],[28])).
% 0.73/0.75 tff(30,plain,
% 0.73/0.75 ((![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | ((~p605(X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))))) & ![X: $i] : ((~r1(Y, X)) | ((~p505(X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))))) & ![X: $i] : ((~r1(Y, X)) | ((~p505(X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | ((~p605(X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p201(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p301(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p301(X) & p201(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p201(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p201(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p201(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p301(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p301(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p301(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p401(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p401(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p501(X)))) & ![X: $i] : ((~r1(Y, X)) | ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p302(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p402(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p502(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p602(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p302(X) & p202(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p402(X) & p202(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p202(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p202(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p402(X) & p302(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p302(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p302(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p402(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p402(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p502(X)))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p303(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p403(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p503(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p603(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p303(X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p403(X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p503(X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p603(X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p403(X) & p303(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p503(X) & p303(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p303(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p503(X) & p403(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p403(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p503(X)))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p404(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p504(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p604(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p404(X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p504(X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p604(X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p404(X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p504(X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p604(X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p504(X) & p404(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p604(X) & p404(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p604(X) & p504(X)))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p605(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p605(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p605(X) & p505(X)))))) & ((p605(X!0) | p604(X!0) | p603(X!0) | p602(X!0) | p601(X!0)) & (p505(X!0) | p504(X!0) | p503(X!0) | p502(X!0) | p501(X!0)) & (![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p404(X!0) | p403(X!0) | p402(X!0) | p401(X!0)) & (![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | p304(Y)) | p303(X!0) | p302(X!0) | p301(X!0)) & (![Y: $i] : ((~r1(X!0, Y)) | p205(Y)) | ![Y: $i] : ((~r1(X!0, Y)) | p204(Y)) | ![Y: $i] : ((~r1(X!0, Y)) | p203(Y)) | p202(X!0) | p201(X!0)) & (![Y: $i] : ((~r1(X!0, Y)) | p105(Y)) | ![Y: $i] : ((~r1(X!0, Y)) | p104(Y)) | ![Y: $i] : ((~r1(X!0, Y)) | p103(Y)) | ![Y: $i] : ((~r1(X!0, Y)) | p102(Y)) | p101(X!0)))) <=> (![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X))) & ![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X))) & ![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~p605(X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p201(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p301(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p301(X) & p201(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p201(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p201(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p201(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p301(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p301(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p301(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p401(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p401(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p501(X)))) & ![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X))) & ![X: $i] : ((~r1(Y, X)) | (~(p302(X) & p202(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p402(X) & p202(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p202(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p202(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p402(X) & p302(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p302(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p302(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p402(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p402(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p502(X)))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p403(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p503(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p603(X))) & ![X: $i] : ((~r1(Y, X)) | (~(p403(X) & p303(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p503(X) & p303(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p303(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p503(X) & p403(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p403(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p503(X)))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X))) & ![X: $i] : ((~r1(Y, X)) | (~(p504(X) & p404(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p604(X) & p404(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p604(X) & p504(X)))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X))))) & ![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X))) & ![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X))) & ![X: $i] : ((~r1(Y, X)) | (~(p605(X) & p505(X)))))) & ((p605(X!0) | p604(X!0) | p602(X!0) | p603(X!0) | p601(X!0)) & (p504(X!0) | p503(X!0) | p502(X!0) | p501(X!0) | p505(X!0)) & (p402(X!0) | p401(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p403(X!0) | p404(X!0)) & (![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p302(X!0) | p303(X!0) | p301(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y)))) & (p202(X!0) | p201(X!0) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y)))) & (p101(X!0) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))))))),
% 0.73/0.76 inference(monotonicity,[status(thm)],[29, 27])).
% 0.73/0.76 tff(31,plain,
% 0.73/0.76 ((![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | ((~p605(X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))))) & ![X: $i] : ((~r1(Y, X)) | ((~p505(X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))))) & ![X: $i] : ((~r1(Y, X)) | ((~p505(X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | ((~p605(X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p201(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p301(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p301(X) & p201(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p201(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p201(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p201(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p301(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p301(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p301(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p401(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p401(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p501(X)))) & ![X: $i] : ((~r1(Y, X)) | ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p302(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p402(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p502(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p602(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p302(X) & p202(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p402(X) & p202(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p202(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p202(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p402(X) & p302(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p302(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p302(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p402(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p402(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p502(X)))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p303(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p403(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p503(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p603(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p303(X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p403(X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p503(X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p603(X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p403(X) & p303(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p503(X) & p303(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p303(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p503(X) & p403(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p403(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p503(X)))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p404(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p504(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p604(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p404(X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p504(X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p604(X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p404(X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p504(X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p604(X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p504(X) & p404(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p604(X) & p404(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p604(X) & p504(X)))) & ![X: $i] : ((~r1(Y, X)) | ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p605(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))) & ![X: $i] : ((~r1(Y, X)) | ((~p605(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p605(X) & p505(X)))))) & ((p605(X!0) | p604(X!0) | p603(X!0) | p602(X!0) | p601(X!0)) & (p505(X!0) | p504(X!0) | p503(X!0) | p502(X!0) | p501(X!0)) & (![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p404(X!0) | p403(X!0) | p402(X!0) | p401(X!0)) & (![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | ![Y: $i] : ((~r1(X!0, Y)) | p304(Y)) | p303(X!0) | p302(X!0) | p301(X!0)) & (![Y: $i] : ((~r1(X!0, Y)) | p205(Y)) | ![Y: $i] : ((~r1(X!0, Y)) | p204(Y)) | ![Y: $i] : ((~r1(X!0, Y)) | p203(Y)) | p202(X!0) | p201(X!0)) & (![Y: $i] : ((~r1(X!0, Y)) | p105(Y)) | ![Y: $i] : ((~r1(X!0, Y)) | p104(Y)) | ![Y: $i] : ((~r1(X!0, Y)) | p103(Y)) | ![Y: $i] : ((~r1(X!0, Y)) | p102(Y)) | p101(X!0)))) <=> (![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X))) & ![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X))) & ![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~p605(X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p201(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p301(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p301(X) & p201(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p201(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p201(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p201(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p301(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p301(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p301(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p401(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p401(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p501(X)))) & ![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X))) & ![X: $i] : ((~r1(Y, X)) | (~(p302(X) & p202(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p402(X) & p202(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p202(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p202(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p402(X) & p302(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p302(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p302(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p402(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p402(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p502(X)))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p403(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p503(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p603(X))) & ![X: $i] : ((~r1(Y, X)) | (~(p403(X) & p303(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p503(X) & p303(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p303(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p503(X) & p403(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p403(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p503(X)))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X))) & ![X: $i] : ((~r1(Y, X)) | (~(p504(X) & p404(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p604(X) & p404(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p604(X) & p504(X)))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X))))) & ![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X))) & ![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X))) & ![X: $i] : ((~r1(Y, X)) | (~(p605(X) & p505(X)))))) & (p605(X!0) | p604(X!0) | p602(X!0) | p603(X!0) | p601(X!0)) & (p504(X!0) | p503(X!0) | p502(X!0) | p501(X!0) | p505(X!0)) & (p402(X!0) | p401(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p403(X!0) | p404(X!0)) & (![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p302(X!0) | p303(X!0) | p301(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y)))) & (p202(X!0) | p201(X!0) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y)))) & (p101(X!0) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y)))))),
% 0.78/0.76 inference(transitivity,[status(thm)],[30, 26])).
% 0.78/0.76 tff(32,plain,
% 0.78/0.76 (?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & ![Y: $i] : (p405(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p505(X) & ![Y: $i] : (p405(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p505(X) & ![Y: $i] : (p305(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & ![Y: $i] : (p305(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p405(Y) | (~r1(X, Y))) & ![Y: $i] : (p305(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p405(Y) | (~r1(X, Y))) & ![Y: $i] : ((~r1(X, Y)) | p205(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p305(Y) | (~r1(X, Y))) & ![Y: $i] : ((~r1(X, Y)) | p205(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p405(Y) | (~r1(X, Y))) & ![Y: $i] : ((~r1(X, Y)) | p105(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p305(Y) | (~r1(X, Y))) & ![Y: $i] : ((~r1(X, Y)) | p105(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p201(X) & p101(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p301(X) & p101(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p101(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p101(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p101(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p301(X) & p201(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p201(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p201(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p201(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p301(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p301(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p301(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p401(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p401(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p501(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p202(X) & ![Y: $i] : ((~r1(X, Y)) | p102(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p302(X) & ![Y: $i] : ((~r1(X, Y)) | p102(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p402(X) & ![Y: $i] : ((~r1(X, Y)) | p102(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p502(X) & ![Y: $i] : ((~r1(X, Y)) | p102(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p602(X) & ![Y: $i] : ((~r1(X, Y)) | p102(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p302(X) & p202(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p402(X) & p202(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p202(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p202(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p402(X) & p302(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p302(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p302(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p402(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p402(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p502(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p203(Y)) & ![Y: $i] : ((~r1(X, Y)) | p103(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p303(X) & ![Y: $i] : ((~r1(X, Y)) | p103(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p403(X) & ![Y: $i] : ((~r1(X, Y)) | p103(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p503(X) & ![Y: $i] : ((~r1(X, Y)) | p103(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p603(X) & ![Y: $i] : ((~r1(X, Y)) | p103(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p303(X) & ![Y: $i] : ((~r1(X, Y)) | p203(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p403(X) & ![Y: $i] : ((~r1(X, Y)) | p203(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p503(X) & ![Y: $i] : ((~r1(X, Y)) | p203(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p603(X) & ![Y: $i] : ((~r1(X, Y)) | p203(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p403(X) & p303(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p503(X) & p303(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p303(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p503(X) & p403(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p403(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p503(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p204(Y)) & ![Y: $i] : ((~r1(X, Y)) | p104(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p304(Y)) & ![Y: $i] : ((~r1(X, Y)) | p104(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p404(X) & ![Y: $i] : ((~r1(X, Y)) | p104(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p504(X) & ![Y: $i] : ((~r1(X, Y)) | p104(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p604(X) & ![Y: $i] : ((~r1(X, Y)) | p104(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p304(Y)) & ![Y: $i] : ((~r1(X, Y)) | p204(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p404(X) & ![Y: $i] : ((~r1(X, Y)) | p204(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p504(X) & ![Y: $i] : ((~r1(X, Y)) | p204(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p604(X) & ![Y: $i] : ((~r1(X, Y)) | p204(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p404(X) & ![Y: $i] : ((~r1(X, Y)) | p304(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p504(X) & ![Y: $i] : ((~r1(X, Y)) | p304(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p604(X) & ![Y: $i] : ((~r1(X, Y)) | p304(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p504(X) & p404(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p604(X) & p404(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p604(X) & p504(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p205(Y)) & ![Y: $i] : ((~r1(X, Y)) | p105(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p505(X) & ![Y: $i] : ((~r1(X, Y)) | p105(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & ![Y: $i] : ((~r1(X, Y)) | p105(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p505(X) & ![Y: $i] : ((~r1(X, Y)) | p205(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & ![Y: $i] : ((~r1(X, Y)) | p205(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & p505(X))))))))) | (~((p605(X) | p604(X) | p603(X) | p602(X) | p601(X)) & (p505(X) | p504(X) | p503(X) | p502(X) | p501(X)) & (![Y: $i] : (p405(Y) | (~r1(X, Y))) | p404(X) | p403(X) | p402(X) | p401(X)) & (![Y: $i] : (p305(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | p304(Y)) | p303(X) | p302(X) | p301(X)) & (![Y: $i] : ((~r1(X, Y)) | p205(Y)) | ![Y: $i] : ((~r1(X, Y)) | p204(Y)) | ![Y: $i] : ((~r1(X, Y)) | p203(Y)) | p202(X) | p201(X)) & (![Y: $i] : ((~r1(X, Y)) | p105(Y)) | ![Y: $i] : ((~r1(X, Y)) | p104(Y)) | ![Y: $i] : ((~r1(X, Y)) | p103(Y)) | ![Y: $i] : ((~r1(X, Y)) | p102(Y)) | p101(X)))))) <=> ?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & ![Y: $i] : (p405(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p505(X) & ![Y: $i] : (p405(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p505(X) & ![Y: $i] : (p305(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & ![Y: $i] : (p305(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p405(Y) | (~r1(X, Y))) & ![Y: $i] : (p305(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p405(Y) | (~r1(X, Y))) & ![Y: $i] : ((~r1(X, Y)) | p205(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p305(Y) | (~r1(X, Y))) & ![Y: $i] : ((~r1(X, Y)) | p205(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p405(Y) | (~r1(X, Y))) & ![Y: $i] : ((~r1(X, Y)) | p105(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p305(Y) | (~r1(X, Y))) & ![Y: $i] : ((~r1(X, Y)) | p105(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p201(X) & p101(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p301(X) & p101(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p101(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p101(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p101(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p301(X) & p201(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p201(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p201(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p201(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p301(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p301(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p301(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p401(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p401(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p501(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p202(X) & ![Y: $i] : ((~r1(X, Y)) | p102(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p302(X) & ![Y: $i] : ((~r1(X, Y)) | p102(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p402(X) & ![Y: $i] : ((~r1(X, Y)) | p102(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p502(X) & ![Y: $i] : ((~r1(X, Y)) | p102(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p602(X) & ![Y: $i] : ((~r1(X, Y)) | p102(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p302(X) & p202(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p402(X) & p202(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p202(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p202(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p402(X) & p302(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p302(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p302(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p402(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p402(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p502(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p203(Y)) & ![Y: $i] : ((~r1(X, Y)) | p103(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p303(X) & ![Y: $i] : ((~r1(X, Y)) | p103(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p403(X) & ![Y: $i] : ((~r1(X, Y)) | p103(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p503(X) & ![Y: $i] : ((~r1(X, Y)) | p103(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p603(X) & ![Y: $i] : ((~r1(X, Y)) | p103(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p303(X) & ![Y: $i] : ((~r1(X, Y)) | p203(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p403(X) & ![Y: $i] : ((~r1(X, Y)) | p203(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p503(X) & ![Y: $i] : ((~r1(X, Y)) | p203(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p603(X) & ![Y: $i] : ((~r1(X, Y)) | p203(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p403(X) & p303(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p503(X) & p303(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p303(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p503(X) & p403(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p403(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p503(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p204(Y)) & ![Y: $i] : ((~r1(X, Y)) | p104(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p304(Y)) & ![Y: $i] : ((~r1(X, Y)) | p104(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p404(X) & ![Y: $i] : ((~r1(X, Y)) | p104(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p504(X) & ![Y: $i] : ((~r1(X, Y)) | p104(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p604(X) & ![Y: $i] : ((~r1(X, Y)) | p104(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p304(Y)) & ![Y: $i] : ((~r1(X, Y)) | p204(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p404(X) & ![Y: $i] : ((~r1(X, Y)) | p204(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p504(X) & ![Y: $i] : ((~r1(X, Y)) | p204(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p604(X) & ![Y: $i] : ((~r1(X, Y)) | p204(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p404(X) & ![Y: $i] : ((~r1(X, Y)) | p304(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p504(X) & ![Y: $i] : ((~r1(X, Y)) | p304(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p604(X) & ![Y: $i] : ((~r1(X, Y)) | p304(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p504(X) & p404(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p604(X) & p404(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p604(X) & p504(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p205(Y)) & ![Y: $i] : ((~r1(X, Y)) | p105(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p505(X) & ![Y: $i] : ((~r1(X, Y)) | p105(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & ![Y: $i] : ((~r1(X, Y)) | p105(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p505(X) & ![Y: $i] : ((~r1(X, Y)) | p205(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & ![Y: $i] : ((~r1(X, Y)) | p205(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & p505(X))))))))) | (~((p605(X) | p604(X) | p603(X) | p602(X) | p601(X)) & (p505(X) | p504(X) | p503(X) | p502(X) | p501(X)) & (![Y: $i] : (p405(Y) | (~r1(X, Y))) | p404(X) | p403(X) | p402(X) | p401(X)) & (![Y: $i] : (p305(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | p304(Y)) | p303(X) | p302(X) | p301(X)) & (![Y: $i] : ((~r1(X, Y)) | p205(Y)) | ![Y: $i] : ((~r1(X, Y)) | p204(Y)) | ![Y: $i] : ((~r1(X, Y)) | p203(Y)) | p202(X) | p201(X)) & (![Y: $i] : ((~r1(X, Y)) | p105(Y)) | ![Y: $i] : ((~r1(X, Y)) | p104(Y)) | ![Y: $i] : ((~r1(X, Y)) | p103(Y)) | ![Y: $i] : ((~r1(X, Y)) | p102(Y)) | p101(X))))))),
% 0.78/0.76 inference(rewrite,[status(thm)],[])).
% 0.78/0.76 tff(33,plain,
% 0.78/0.76 ((~(~?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & ![Y: $i] : (p405(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p505(X) & ![Y: $i] : (p405(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p505(X) & ![Y: $i] : (p305(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & ![Y: $i] : (p305(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p405(Y) | (~r1(X, Y))) & ![Y: $i] : (p305(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p405(Y) | (~r1(X, Y))) & ![Y: $i] : ((~r1(X, Y)) | p205(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p305(Y) | (~r1(X, Y))) & ![Y: $i] : ((~r1(X, Y)) | p205(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p405(Y) | (~r1(X, Y))) & ![Y: $i] : ((~r1(X, Y)) | p105(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p305(Y) | (~r1(X, Y))) & ![Y: $i] : ((~r1(X, Y)) | p105(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p201(X) & p101(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p301(X) & p101(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p101(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p101(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p101(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p301(X) & p201(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p201(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p201(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p201(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p301(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p301(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p301(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p401(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p401(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p501(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p202(X) & ![Y: $i] : ((~r1(X, Y)) | p102(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p302(X) & ![Y: $i] : ((~r1(X, Y)) | p102(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p402(X) & ![Y: $i] : ((~r1(X, Y)) | p102(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p502(X) & ![Y: $i] : ((~r1(X, Y)) | p102(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p602(X) & ![Y: $i] : ((~r1(X, Y)) | p102(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p302(X) & p202(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p402(X) & p202(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p202(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p202(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p402(X) & p302(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p302(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p302(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p402(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p402(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p502(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p203(Y)) & ![Y: $i] : ((~r1(X, Y)) | p103(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p303(X) & ![Y: $i] : ((~r1(X, Y)) | p103(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p403(X) & ![Y: $i] : ((~r1(X, Y)) | p103(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p503(X) & ![Y: $i] : ((~r1(X, Y)) | p103(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p603(X) & ![Y: $i] : ((~r1(X, Y)) | p103(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p303(X) & ![Y: $i] : ((~r1(X, Y)) | p203(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p403(X) & ![Y: $i] : ((~r1(X, Y)) | p203(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p503(X) & ![Y: $i] : ((~r1(X, Y)) | p203(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p603(X) & ![Y: $i] : ((~r1(X, Y)) | p203(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p403(X) & p303(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p503(X) & p303(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p303(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p503(X) & p403(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p403(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p503(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p204(Y)) & ![Y: $i] : ((~r1(X, Y)) | p104(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p304(Y)) & ![Y: $i] : ((~r1(X, Y)) | p104(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p404(X) & ![Y: $i] : ((~r1(X, Y)) | p104(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p504(X) & ![Y: $i] : ((~r1(X, Y)) | p104(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p604(X) & ![Y: $i] : ((~r1(X, Y)) | p104(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p304(Y)) & ![Y: $i] : ((~r1(X, Y)) | p204(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p404(X) & ![Y: $i] : ((~r1(X, Y)) | p204(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p504(X) & ![Y: $i] : ((~r1(X, Y)) | p204(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p604(X) & ![Y: $i] : ((~r1(X, Y)) | p204(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p404(X) & ![Y: $i] : ((~r1(X, Y)) | p304(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p504(X) & ![Y: $i] : ((~r1(X, Y)) | p304(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p604(X) & ![Y: $i] : ((~r1(X, Y)) | p304(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p504(X) & p404(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p604(X) & p404(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p604(X) & p504(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p205(Y)) & ![Y: $i] : ((~r1(X, Y)) | p105(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p505(X) & ![Y: $i] : ((~r1(X, Y)) | p105(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & ![Y: $i] : ((~r1(X, Y)) | p105(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p505(X) & ![Y: $i] : ((~r1(X, Y)) | p205(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & ![Y: $i] : ((~r1(X, Y)) | p205(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & p505(X))))))))) | (~((p605(X) | p604(X) | p603(X) | p602(X) | p601(X)) & (p505(X) | p504(X) | p503(X) | p502(X) | p501(X)) & (![Y: $i] : (p405(Y) | (~r1(X, Y))) | p404(X) | p403(X) | p402(X) | p401(X)) & (![Y: $i] : (p305(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | p304(Y)) | p303(X) | p302(X) | p301(X)) & (![Y: $i] : ((~r1(X, Y)) | p205(Y)) | ![Y: $i] : ((~r1(X, Y)) | p204(Y)) | ![Y: $i] : ((~r1(X, Y)) | p203(Y)) | p202(X) | p201(X)) & (![Y: $i] : ((~r1(X, Y)) | p105(Y)) | ![Y: $i] : ((~r1(X, Y)) | p104(Y)) | ![Y: $i] : ((~r1(X, Y)) | p103(Y)) | ![Y: $i] : ((~r1(X, Y)) | p102(Y)) | p101(X)))))))) <=> ?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & ![Y: $i] : (p405(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p505(X) & ![Y: $i] : (p405(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p505(X) & ![Y: $i] : (p305(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & ![Y: $i] : (p305(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p405(Y) | (~r1(X, Y))) & ![Y: $i] : (p305(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p405(Y) | (~r1(X, Y))) & ![Y: $i] : ((~r1(X, Y)) | p205(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p305(Y) | (~r1(X, Y))) & ![Y: $i] : ((~r1(X, Y)) | p205(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p405(Y) | (~r1(X, Y))) & ![Y: $i] : ((~r1(X, Y)) | p105(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p305(Y) | (~r1(X, Y))) & ![Y: $i] : ((~r1(X, Y)) | p105(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p201(X) & p101(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p301(X) & p101(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p101(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p101(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p101(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p301(X) & p201(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p201(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p201(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p201(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p301(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p301(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p301(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p401(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p401(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p501(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p202(X) & ![Y: $i] : ((~r1(X, Y)) | p102(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p302(X) & ![Y: $i] : ((~r1(X, Y)) | p102(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p402(X) & ![Y: $i] : ((~r1(X, Y)) | p102(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p502(X) & ![Y: $i] : ((~r1(X, Y)) | p102(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p602(X) & ![Y: $i] : ((~r1(X, Y)) | p102(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p302(X) & p202(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p402(X) & p202(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p202(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p202(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p402(X) & p302(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p302(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p302(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p402(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p402(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p502(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p203(Y)) & ![Y: $i] : ((~r1(X, Y)) | p103(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p303(X) & ![Y: $i] : ((~r1(X, Y)) | p103(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p403(X) & ![Y: $i] : ((~r1(X, Y)) | p103(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p503(X) & ![Y: $i] : ((~r1(X, Y)) | p103(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p603(X) & ![Y: $i] : ((~r1(X, Y)) | p103(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p303(X) & ![Y: $i] : ((~r1(X, Y)) | p203(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p403(X) & ![Y: $i] : ((~r1(X, Y)) | p203(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p503(X) & ![Y: $i] : ((~r1(X, Y)) | p203(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p603(X) & ![Y: $i] : ((~r1(X, Y)) | p203(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p403(X) & p303(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p503(X) & p303(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p303(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p503(X) & p403(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p403(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p503(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p204(Y)) & ![Y: $i] : ((~r1(X, Y)) | p104(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p304(Y)) & ![Y: $i] : ((~r1(X, Y)) | p104(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p404(X) & ![Y: $i] : ((~r1(X, Y)) | p104(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p504(X) & ![Y: $i] : ((~r1(X, Y)) | p104(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p604(X) & ![Y: $i] : ((~r1(X, Y)) | p104(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p304(Y)) & ![Y: $i] : ((~r1(X, Y)) | p204(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p404(X) & ![Y: $i] : ((~r1(X, Y)) | p204(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p504(X) & ![Y: $i] : ((~r1(X, Y)) | p204(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p604(X) & ![Y: $i] : ((~r1(X, Y)) | p204(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p404(X) & ![Y: $i] : ((~r1(X, Y)) | p304(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p504(X) & ![Y: $i] : ((~r1(X, Y)) | p304(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p604(X) & ![Y: $i] : ((~r1(X, Y)) | p304(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p504(X) & p404(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p604(X) & p404(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p604(X) & p504(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p205(Y)) & ![Y: $i] : ((~r1(X, Y)) | p105(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p505(X) & ![Y: $i] : ((~r1(X, Y)) | p105(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & ![Y: $i] : ((~r1(X, Y)) | p105(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p505(X) & ![Y: $i] : ((~r1(X, Y)) | p205(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & ![Y: $i] : ((~r1(X, Y)) | p205(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & p505(X))))))))) | (~((p605(X) | p604(X) | p603(X) | p602(X) | p601(X)) & (p505(X) | p504(X) | p503(X) | p502(X) | p501(X)) & (![Y: $i] : (p405(Y) | (~r1(X, Y))) | p404(X) | p403(X) | p402(X) | p401(X)) & (![Y: $i] : (p305(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | p304(Y)) | p303(X) | p302(X) | p301(X)) & (![Y: $i] : ((~r1(X, Y)) | p205(Y)) | ![Y: $i] : ((~r1(X, Y)) | p204(Y)) | ![Y: $i] : ((~r1(X, Y)) | p203(Y)) | p202(X) | p201(X)) & (![Y: $i] : ((~r1(X, Y)) | p105(Y)) | ![Y: $i] : ((~r1(X, Y)) | p104(Y)) | ![Y: $i] : ((~r1(X, Y)) | p103(Y)) | ![Y: $i] : ((~r1(X, Y)) | p102(Y)) | p101(X))))))),
% 0.78/0.77 inference(rewrite,[status(thm)],[])).
% 0.78/0.77 tff(34,plain,
% 0.78/0.77 ((~?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | (~(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & p505(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & ![Y: $i] : ((~r1(X, Y)) | p405(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p505(X) & ![Y: $i] : ((~r1(X, Y)) | p405(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & ![Y: $i] : ((~r1(X, Y)) | p305(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p505(X) & ![Y: $i] : ((~r1(X, Y)) | p305(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p405(Y)) & ![Y: $i] : ((~r1(X, Y)) | p305(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & ![Y: $i] : ((~r1(X, Y)) | p205(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p505(X) & ![Y: $i] : ((~r1(X, Y)) | p205(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p405(Y)) & ![Y: $i] : ((~r1(X, Y)) | p205(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p305(Y)) & ![Y: $i] : ((~r1(X, Y)) | 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((~r1(Y, X)) | (~(p503(X) & p303(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p403(X) & p303(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p603(X) & ![Y: $i] : ((~r1(X, Y)) | p203(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p503(X) & ![Y: $i] : ((~r1(X, Y)) | p203(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p403(X) & ![Y: $i] : ((~r1(X, Y)) | p203(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p303(X) & ![Y: $i] : ((~r1(X, Y)) | p203(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p603(X) & ![Y: $i] : ((~r1(X, Y)) | p103(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p503(X) & ![Y: $i] : ((~r1(X, Y)) | p103(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p403(X) & ![Y: $i] : ((~r1(X, Y)) | p103(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p303(X) & ![Y: $i] : ((~r1(X, Y)) | p103(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p203(Y)) & ![Y: $i] : ((~r1(X, Y)) | p103(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p502(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p402(X)))))) | (~![X: $i] : 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& p401(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p301(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p301(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p301(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p201(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p201(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p201(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p301(X) & p201(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p101(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p101(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p101(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p301(X) & p101(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p201(X) & p101(X))))))))) | (~(((((((((p605(X) | p604(X)) | p603(X)) | p602(X)) | p601(X)) & ((((p505(X) | p504(X)) | p503(X)) | p502(X)) | p501(X))) & ((((![Y: $i] : ((~r1(X, Y)) | p405(Y)) | p404(X)) | p403(X)) | p402(X)) | p401(X))) & ((((![Y: $i] : ((~r1(X, Y)) | p305(Y)) | ![Y: $i] : ((~r1(X, Y)) | p304(Y))) | p303(X)) | p302(X)) | p301(X))) & ((((![Y: $i] : ((~r1(X, Y)) | p205(Y)) | ![Y: $i] : ((~r1(X, Y)) | p204(Y))) | ![Y: $i] : ((~r1(X, Y)) | p203(Y))) | p202(X)) | p201(X))) & ((((![Y: $i] : ((~r1(X, Y)) | p105(Y)) | ![Y: $i] : ((~r1(X, Y)) | p104(Y))) | ![Y: $i] : ((~r1(X, Y)) | p103(Y))) | ![Y: $i] : ((~r1(X, Y)) | p102(Y))) | p101(X))))))) <=> (~?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & ![Y: $i] : (p405(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p505(X) & ![Y: $i] : (p405(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p505(X) & ![Y: $i] : (p305(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & ![Y: $i] : (p305(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p405(Y) | (~r1(X, Y))) & ![Y: $i] : (p305(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p405(Y) | (~r1(X, Y))) & ![Y: $i] : ((~r1(X, Y)) | p205(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p305(Y) | (~r1(X, Y))) & ![Y: $i] : ((~r1(X, Y)) | p205(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p405(Y) | (~r1(X, Y))) & ![Y: $i] : ((~r1(X, Y)) | p105(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p305(Y) | (~r1(X, Y))) & ![Y: $i] : ((~r1(X, Y)) | p105(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p201(X) & p101(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p301(X) & p101(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p101(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p101(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p101(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p301(X) & p201(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p201(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p201(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p201(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p301(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p301(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p301(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p401(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p401(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p501(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p202(X) & ![Y: $i] : ((~r1(X, Y)) | p102(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p302(X) & ![Y: $i] : ((~r1(X, Y)) | p102(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p402(X) & ![Y: $i] : ((~r1(X, Y)) | p102(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p502(X) & ![Y: $i] : ((~r1(X, Y)) | p102(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p602(X) & ![Y: $i] : ((~r1(X, Y)) | p102(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p302(X) & p202(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p402(X) & p202(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p202(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p202(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p402(X) & p302(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p302(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p302(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p402(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p402(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p502(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p203(Y)) & ![Y: $i] : ((~r1(X, Y)) | p103(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p303(X) & ![Y: $i] : ((~r1(X, Y)) | p103(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p403(X) & ![Y: $i] : ((~r1(X, Y)) | p103(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p503(X) & ![Y: $i] : ((~r1(X, Y)) | p103(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p603(X) & ![Y: $i] : ((~r1(X, Y)) | p103(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p303(X) & ![Y: $i] : ((~r1(X, Y)) | p203(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p403(X) & ![Y: $i] : ((~r1(X, Y)) | p203(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p503(X) & ![Y: $i] : ((~r1(X, Y)) | p203(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p603(X) & ![Y: $i] : ((~r1(X, Y)) | p203(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p403(X) & p303(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p503(X) & p303(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p303(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p503(X) & p403(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p403(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p503(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p204(Y)) & ![Y: $i] : ((~r1(X, Y)) | p104(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p304(Y)) & ![Y: $i] : ((~r1(X, Y)) | p104(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p404(X) & ![Y: $i] : ((~r1(X, Y)) | p104(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p504(X) & ![Y: $i] : ((~r1(X, Y)) | p104(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p604(X) & ![Y: $i] : ((~r1(X, Y)) | p104(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p304(Y)) & ![Y: $i] : ((~r1(X, Y)) | p204(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p404(X) & ![Y: $i] : ((~r1(X, Y)) | p204(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p504(X) & ![Y: $i] : ((~r1(X, Y)) | p204(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p604(X) & ![Y: $i] : ((~r1(X, Y)) | p204(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p404(X) & ![Y: $i] : ((~r1(X, Y)) | p304(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p504(X) & ![Y: $i] : ((~r1(X, Y)) | p304(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p604(X) & ![Y: $i] : ((~r1(X, Y)) | p304(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p504(X) & p404(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p604(X) & p404(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p604(X) & p504(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p205(Y)) & ![Y: $i] : ((~r1(X, Y)) | p105(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p505(X) & ![Y: $i] : ((~r1(X, Y)) | p105(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & ![Y: $i] : ((~r1(X, Y)) | p105(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p505(X) & ![Y: $i] : ((~r1(X, Y)) | p205(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & ![Y: $i] : ((~r1(X, Y)) | p205(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & p505(X))))))))) | (~((p605(X) | p604(X) | p603(X) | p602(X) | p601(X)) & (p505(X) | p504(X) | p503(X) | p502(X) | p501(X)) & (![Y: $i] : (p405(Y) | (~r1(X, Y))) | p404(X) | p403(X) | p402(X) | p401(X)) & (![Y: $i] : (p305(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | p304(Y)) | p303(X) | p302(X) | p301(X)) & (![Y: $i] : ((~r1(X, Y)) | p205(Y)) | ![Y: $i] : ((~r1(X, Y)) | p204(Y)) | ![Y: $i] : ((~r1(X, Y)) | p203(Y)) | p202(X) | p201(X)) & (![Y: $i] : ((~r1(X, Y)) | p105(Y)) | ![Y: $i] : ((~r1(X, Y)) | p104(Y)) | ![Y: $i] : ((~r1(X, Y)) | p103(Y)) | ![Y: $i] : ((~r1(X, Y)) | p102(Y)) | p101(X)))))))),
% 0.78/0.77 inference(rewrite,[status(thm)],[])).
% 0.78/0.77 tff(35,plain,
% 0.78/0.77 ((~(~?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | (~(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & p505(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & ![Y: $i] : ((~r1(X, Y)) | p405(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p505(X) & ![Y: $i] : ((~r1(X, Y)) | p405(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & ![Y: $i] : ((~r1(X, Y)) | p305(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p505(X) & ![Y: $i] : ((~r1(X, Y)) | p305(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p405(Y)) & ![Y: $i] : ((~r1(X, Y)) | p305(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & ![Y: $i] : ((~r1(X, Y)) | p205(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p505(X) & ![Y: $i] : ((~r1(X, Y)) | p205(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p405(Y)) & ![Y: $i] : ((~r1(X, Y)) | p205(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p305(Y)) & ![Y: $i] : ((~r1(X, Y)) | p205(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & ![Y: $i] : ((~r1(X, Y)) | p105(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p505(X) & ![Y: $i] : ((~r1(X, Y)) | p105(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p405(Y)) & ![Y: $i] : ((~r1(X, Y)) | p105(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p305(Y)) & ![Y: $i] : ((~r1(X, Y)) | p105(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p205(Y)) & ![Y: $i] : ((~r1(X, Y)) | p105(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p604(X) & p504(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p604(X) & p404(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p504(X) & p404(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p604(X) & ![Y: $i] : ((~r1(X, Y)) | p304(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p504(X) & ![Y: $i] : ((~r1(X, Y)) | p304(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p404(X) & ![Y: $i] : ((~r1(X, Y)) | p304(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p604(X) & ![Y: $i] : ((~r1(X, Y)) | p204(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p504(X) & ![Y: $i] : ((~r1(X, Y)) | p204(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p404(X) & ![Y: $i] : ((~r1(X, Y)) | p204(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p304(Y)) & ![Y: $i] : ((~r1(X, Y)) | p204(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p604(X) & ![Y: $i] : ((~r1(X, Y)) | p104(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p504(X) & ![Y: $i] : ((~r1(X, Y)) | p104(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p404(X) & ![Y: $i] : ((~r1(X, Y)) | p104(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p304(Y)) & ![Y: $i] : ((~r1(X, Y)) | p104(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p204(Y)) & ![Y: $i] : ((~r1(X, Y)) | p104(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p503(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p403(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p503(X) & p403(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p303(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p503(X) & p303(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p403(X) & p303(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p603(X) & ![Y: $i] : ((~r1(X, Y)) | p203(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p503(X) & ![Y: $i] : ((~r1(X, Y)) | p203(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p403(X) & ![Y: $i] : ((~r1(X, Y)) | p203(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p303(X) & ![Y: $i] : ((~r1(X, Y)) | p203(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p603(X) & ![Y: $i] : ((~r1(X, Y)) | p103(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p503(X) & ![Y: $i] : ((~r1(X, Y)) | p103(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p403(X) & ![Y: $i] : ((~r1(X, Y)) | p103(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p303(X) & ![Y: $i] : ((~r1(X, Y)) | p103(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p203(Y)) & ![Y: $i] : ((~r1(X, Y)) | p103(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p502(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p402(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p402(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p302(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p302(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p402(X) & p302(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p202(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p202(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p402(X) & p202(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p302(X) & p202(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p602(X) & ![Y: $i] : ((~r1(X, Y)) | p102(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p502(X) & ![Y: $i] : ((~r1(X, Y)) | p102(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p402(X) & ![Y: $i] : ((~r1(X, Y)) | p102(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p302(X) & ![Y: $i] : ((~r1(X, Y)) | p102(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p202(X) & ![Y: $i] : ((~r1(X, Y)) | p102(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p501(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p401(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p401(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p301(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p301(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p301(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p201(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p201(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p201(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p301(X) & p201(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p101(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p101(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p101(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p301(X) & p101(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p201(X) & p101(X))))))))) | (~(((((((((p605(X) | p604(X)) | p603(X)) | p602(X)) | p601(X)) & ((((p505(X) | p504(X)) | p503(X)) | p502(X)) | p501(X))) & ((((![Y: $i] : ((~r1(X, Y)) | p405(Y)) | p404(X)) | p403(X)) | p402(X)) | p401(X))) & ((((![Y: $i] : ((~r1(X, Y)) | p305(Y)) | ![Y: $i] : ((~r1(X, Y)) | p304(Y))) | p303(X)) | p302(X)) | p301(X))) & ((((![Y: $i] : ((~r1(X, Y)) | p205(Y)) | ![Y: $i] : ((~r1(X, Y)) | p204(Y))) | ![Y: $i] : ((~r1(X, Y)) | p203(Y))) | p202(X)) | p201(X))) & ((((![Y: $i] : ((~r1(X, Y)) | p105(Y)) | ![Y: $i] : ((~r1(X, Y)) | p104(Y))) | ![Y: $i] : ((~r1(X, Y)) | p103(Y))) | ![Y: $i] : ((~r1(X, Y)) | p102(Y))) | p101(X)))))))) <=> (~(~?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & ![Y: $i] : (p405(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p505(X) & ![Y: $i] : (p405(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p505(X) & ![Y: $i] : (p305(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & ![Y: $i] : (p305(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p405(Y) | (~r1(X, Y))) & ![Y: $i] : (p305(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p405(Y) | (~r1(X, Y))) & ![Y: $i] : ((~r1(X, Y)) | p205(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p305(Y) | (~r1(X, Y))) & ![Y: $i] : ((~r1(X, Y)) | p205(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p405(Y) | (~r1(X, Y))) & ![Y: $i] : ((~r1(X, Y)) | p105(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p305(Y) | (~r1(X, Y))) & ![Y: $i] : ((~r1(X, Y)) | p105(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p201(X) & p101(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p301(X) & p101(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p101(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p101(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p101(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p301(X) & p201(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p201(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p201(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p201(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p301(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p301(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p301(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p401(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p401(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p501(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p202(X) & ![Y: $i] : ((~r1(X, Y)) | p102(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p302(X) & ![Y: $i] : ((~r1(X, Y)) | p102(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p402(X) & ![Y: $i] : ((~r1(X, Y)) | p102(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p502(X) & ![Y: $i] : ((~r1(X, Y)) | p102(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p602(X) & ![Y: $i] : ((~r1(X, Y)) | p102(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p302(X) & p202(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p402(X) & p202(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p202(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p202(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p402(X) & p302(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p302(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p302(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p402(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p402(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p502(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p203(Y)) & ![Y: $i] : ((~r1(X, Y)) | p103(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p303(X) & ![Y: $i] : ((~r1(X, Y)) | p103(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p403(X) & ![Y: $i] : ((~r1(X, Y)) | p103(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p503(X) & ![Y: $i] : ((~r1(X, Y)) | p103(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p603(X) & ![Y: $i] : ((~r1(X, Y)) | p103(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p303(X) & ![Y: $i] : ((~r1(X, Y)) | p203(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p403(X) & ![Y: $i] : ((~r1(X, Y)) | p203(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p503(X) & ![Y: $i] : ((~r1(X, Y)) | p203(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p603(X) & ![Y: $i] : ((~r1(X, Y)) | p203(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p403(X) & p303(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p503(X) & p303(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p303(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p503(X) & p403(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p403(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p503(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p204(Y)) & ![Y: $i] : ((~r1(X, Y)) | p104(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p304(Y)) & ![Y: $i] : ((~r1(X, Y)) | p104(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p404(X) & ![Y: $i] : ((~r1(X, Y)) | p104(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p504(X) & ![Y: $i] : ((~r1(X, Y)) | p104(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p604(X) & ![Y: $i] : ((~r1(X, Y)) | p104(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p304(Y)) & ![Y: $i] : ((~r1(X, Y)) | p204(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p404(X) & ![Y: $i] : ((~r1(X, Y)) | p204(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p504(X) & ![Y: $i] : ((~r1(X, Y)) | p204(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p604(X) & ![Y: $i] : ((~r1(X, Y)) | p204(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p404(X) & ![Y: $i] : ((~r1(X, Y)) | p304(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p504(X) & ![Y: $i] : ((~r1(X, Y)) | p304(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p604(X) & ![Y: $i] : ((~r1(X, Y)) | p304(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p504(X) & p404(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p604(X) & p404(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p604(X) & p504(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p205(Y)) & ![Y: $i] : ((~r1(X, Y)) | p105(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p505(X) & ![Y: $i] : ((~r1(X, Y)) | p105(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & ![Y: $i] : ((~r1(X, Y)) | p105(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p505(X) & ![Y: $i] : ((~r1(X, Y)) | p205(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & ![Y: $i] : ((~r1(X, Y)) | p205(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & p505(X))))))))) | (~((p605(X) | p604(X) | p603(X) | p602(X) | p601(X)) & (p505(X) | p504(X) | p503(X) | p502(X) | p501(X)) & (![Y: $i] : (p405(Y) | (~r1(X, Y))) | p404(X) | p403(X) | p402(X) | p401(X)) & (![Y: $i] : (p305(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | p304(Y)) | p303(X) | p302(X) | p301(X)) & (![Y: $i] : ((~r1(X, Y)) | p205(Y)) | ![Y: $i] : ((~r1(X, Y)) | p204(Y)) | ![Y: $i] : ((~r1(X, Y)) | p203(Y)) | p202(X) | p201(X)) & (![Y: $i] : ((~r1(X, Y)) | p105(Y)) | ![Y: $i] : ((~r1(X, Y)) | p104(Y)) | ![Y: $i] : ((~r1(X, Y)) | p103(Y)) | ![Y: $i] : ((~r1(X, Y)) | p102(Y)) | p101(X))))))))),
% 0.78/0.78 inference(monotonicity,[status(thm)],[34])).
% 0.78/0.78 tff(36,plain,
% 0.78/0.78 ((~(~?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | (~(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & p505(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & ![Y: $i] : ((~r1(X, Y)) | p405(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p505(X) & ![Y: $i] : ((~r1(X, Y)) | p405(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & ![Y: $i] : ((~r1(X, Y)) | p305(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p505(X) & ![Y: $i] : ((~r1(X, Y)) | p305(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p405(Y)) & ![Y: $i] : ((~r1(X, Y)) | p305(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & ![Y: $i] : ((~r1(X, Y)) | p205(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p505(X) & ![Y: $i] : ((~r1(X, Y)) | p205(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p405(Y)) & ![Y: $i] : ((~r1(X, Y)) | p205(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p305(Y)) & ![Y: $i] : ((~r1(X, Y)) | p205(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & ![Y: $i] : ((~r1(X, Y)) | p105(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p505(X) & ![Y: $i] : ((~r1(X, Y)) | p105(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p405(Y)) & ![Y: $i] : ((~r1(X, Y)) | p105(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p305(Y)) & ![Y: $i] : ((~r1(X, Y)) | p105(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p205(Y)) & ![Y: $i] : ((~r1(X, Y)) | p105(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p604(X) & p504(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p604(X) & p404(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p504(X) & p404(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p604(X) & ![Y: $i] : ((~r1(X, Y)) | p304(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p504(X) & ![Y: $i] : ((~r1(X, Y)) | p304(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p404(X) & ![Y: $i] : ((~r1(X, Y)) | p304(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p604(X) & ![Y: $i] : ((~r1(X, Y)) | p204(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p504(X) & ![Y: $i] : ((~r1(X, Y)) | p204(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p404(X) & ![Y: $i] : ((~r1(X, Y)) | p204(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p304(Y)) & ![Y: $i] : ((~r1(X, Y)) | p204(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p604(X) & ![Y: $i] : ((~r1(X, Y)) | p104(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p504(X) & ![Y: $i] : ((~r1(X, Y)) | p104(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p404(X) & ![Y: $i] : ((~r1(X, Y)) | p104(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p304(Y)) & ![Y: $i] : ((~r1(X, Y)) | p104(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p204(Y)) & ![Y: $i] : ((~r1(X, Y)) | p104(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p503(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p403(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p503(X) & p403(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p303(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p503(X) & p303(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p403(X) & p303(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p603(X) & ![Y: $i] : ((~r1(X, Y)) | p203(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p503(X) & ![Y: $i] : ((~r1(X, Y)) | p203(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p403(X) & ![Y: $i] : ((~r1(X, Y)) | p203(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p303(X) & ![Y: $i] : ((~r1(X, Y)) | p203(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p603(X) & ![Y: $i] : ((~r1(X, Y)) | p103(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p503(X) & ![Y: $i] : ((~r1(X, Y)) | p103(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p403(X) & ![Y: $i] : ((~r1(X, Y)) | p103(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p303(X) & ![Y: $i] : ((~r1(X, Y)) | p103(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p203(Y)) & ![Y: $i] : ((~r1(X, Y)) | p103(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p502(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p402(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p402(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p302(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p302(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p402(X) & p302(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p202(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p202(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p402(X) & p202(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p302(X) & p202(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p602(X) & ![Y: $i] : ((~r1(X, Y)) | p102(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p502(X) & ![Y: $i] : ((~r1(X, Y)) | p102(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p402(X) & ![Y: $i] : ((~r1(X, Y)) | p102(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p302(X) & ![Y: $i] : ((~r1(X, Y)) | p102(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p202(X) & ![Y: $i] : ((~r1(X, Y)) | p102(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p501(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p401(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p401(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p301(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p301(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p301(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p201(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p201(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p201(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p301(X) & p201(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p101(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p101(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p101(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p301(X) & p101(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p201(X) & p101(X))))))))) | (~(((((((((p605(X) | p604(X)) | p603(X)) | p602(X)) | p601(X)) & ((((p505(X) | p504(X)) | p503(X)) | p502(X)) | p501(X))) & ((((![Y: $i] : ((~r1(X, Y)) | p405(Y)) | p404(X)) | p403(X)) | p402(X)) | p401(X))) & ((((![Y: $i] : ((~r1(X, Y)) | p305(Y)) | ![Y: $i] : ((~r1(X, Y)) | p304(Y))) | p303(X)) | p302(X)) | p301(X))) & ((((![Y: $i] : ((~r1(X, Y)) | p205(Y)) | ![Y: $i] : ((~r1(X, Y)) | p204(Y))) | ![Y: $i] : ((~r1(X, Y)) | p203(Y))) | p202(X)) | p201(X))) & ((((![Y: $i] : ((~r1(X, Y)) | p105(Y)) | ![Y: $i] : ((~r1(X, Y)) | p104(Y))) | ![Y: $i] : ((~r1(X, Y)) | p103(Y))) | ![Y: $i] : ((~r1(X, Y)) | p102(Y))) | p101(X)))))))) <=> ?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & ![Y: $i] : (p405(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p505(X) & ![Y: $i] : (p405(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p505(X) & ![Y: $i] : (p305(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & ![Y: $i] : (p305(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p405(Y) | (~r1(X, Y))) & ![Y: $i] : (p305(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p405(Y) | (~r1(X, Y))) & ![Y: $i] : ((~r1(X, Y)) | p205(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p305(Y) | (~r1(X, Y))) & ![Y: $i] : ((~r1(X, Y)) | p205(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p405(Y) | (~r1(X, Y))) & ![Y: $i] : ((~r1(X, Y)) | p105(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p305(Y) | (~r1(X, Y))) & ![Y: $i] : ((~r1(X, Y)) | p105(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p201(X) & p101(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p301(X) & p101(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p101(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p101(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p101(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p301(X) & p201(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p201(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p201(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p201(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p301(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p301(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p301(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p401(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p401(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p501(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p202(X) & ![Y: $i] : ((~r1(X, Y)) | p102(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p302(X) & ![Y: $i] : ((~r1(X, Y)) | p102(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p402(X) & ![Y: $i] : ((~r1(X, Y)) | p102(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p502(X) & ![Y: $i] : ((~r1(X, Y)) | p102(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p602(X) & ![Y: $i] : ((~r1(X, Y)) | p102(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p302(X) & p202(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p402(X) & p202(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p202(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p202(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p402(X) & p302(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p302(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p302(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p402(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p402(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p502(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p203(Y)) & ![Y: $i] : ((~r1(X, Y)) | p103(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p303(X) & ![Y: $i] : ((~r1(X, Y)) | p103(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p403(X) & ![Y: $i] : ((~r1(X, Y)) | p103(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p503(X) & ![Y: $i] : ((~r1(X, Y)) | p103(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p603(X) & ![Y: $i] : ((~r1(X, Y)) | p103(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p303(X) & ![Y: $i] : ((~r1(X, Y)) | p203(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p403(X) & ![Y: $i] : ((~r1(X, Y)) | p203(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p503(X) & ![Y: $i] : ((~r1(X, Y)) | p203(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p603(X) & ![Y: $i] : ((~r1(X, Y)) | p203(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p403(X) & p303(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p503(X) & p303(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p303(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p503(X) & p403(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p403(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p503(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p204(Y)) & ![Y: $i] : ((~r1(X, Y)) | p104(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p304(Y)) & ![Y: $i] : ((~r1(X, Y)) | p104(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p404(X) & ![Y: $i] : ((~r1(X, Y)) | p104(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p504(X) & ![Y: $i] : ((~r1(X, Y)) | p104(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p604(X) & ![Y: $i] : ((~r1(X, Y)) | p104(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p304(Y)) & ![Y: $i] : ((~r1(X, Y)) | p204(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p404(X) & ![Y: $i] : ((~r1(X, Y)) | p204(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p504(X) & ![Y: $i] : ((~r1(X, Y)) | p204(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p604(X) & ![Y: $i] : ((~r1(X, Y)) | p204(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p404(X) & ![Y: $i] : ((~r1(X, Y)) | p304(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p504(X) & ![Y: $i] : ((~r1(X, Y)) | p304(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p604(X) & ![Y: $i] : ((~r1(X, Y)) | p304(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p504(X) & p404(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p604(X) & p404(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p604(X) & p504(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p205(Y)) & ![Y: $i] : ((~r1(X, Y)) | p105(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p505(X) & ![Y: $i] : ((~r1(X, Y)) | p105(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & ![Y: $i] : ((~r1(X, Y)) | p105(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p505(X) & ![Y: $i] : ((~r1(X, Y)) | p205(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & ![Y: $i] : ((~r1(X, Y)) | p205(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & p505(X))))))))) | (~((p605(X) | p604(X) | p603(X) | p602(X) | p601(X)) & (p505(X) | p504(X) | p503(X) | p502(X) | p501(X)) & (![Y: $i] : (p405(Y) | (~r1(X, Y))) | p404(X) | p403(X) | p402(X) | p401(X)) & (![Y: $i] : (p305(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | p304(Y)) | p303(X) | p302(X) | p301(X)) & (![Y: $i] : ((~r1(X, Y)) | p205(Y)) | ![Y: $i] : ((~r1(X, Y)) | p204(Y)) | ![Y: $i] : ((~r1(X, Y)) | p203(Y)) | p202(X) | p201(X)) & (![Y: $i] : ((~r1(X, Y)) | p105(Y)) | ![Y: $i] : ((~r1(X, Y)) | p104(Y)) | ![Y: $i] : ((~r1(X, Y)) | p103(Y)) | ![Y: $i] : ((~r1(X, Y)) | p102(Y)) | p101(X))))))),
% 0.78/0.78 inference(transitivity,[status(thm)],[35, 33])).
% 0.78/0.78 tff(37,axiom,(~(~?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | (~(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & p505(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & ![Y: $i] : ((~r1(X, Y)) | p405(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p505(X) & ![Y: $i] : ((~r1(X, Y)) | p405(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & ![Y: $i] : ((~r1(X, Y)) | p305(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p505(X) & ![Y: $i] : ((~r1(X, Y)) | p305(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p405(Y)) & ![Y: $i] : ((~r1(X, Y)) | p305(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & ![Y: $i] : ((~r1(X, Y)) | p205(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p505(X) & ![Y: $i] : ((~r1(X, Y)) | p205(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p405(Y)) & ![Y: $i] : ((~r1(X, Y)) | p205(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p305(Y)) & ![Y: $i] : ((~r1(X, Y)) | p205(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & ![Y: $i] : ((~r1(X, Y)) | p105(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p505(X) & ![Y: $i] : ((~r1(X, Y)) | p105(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p405(Y)) & ![Y: $i] : ((~r1(X, Y)) | p105(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p305(Y)) & ![Y: $i] : ((~r1(X, Y)) | p105(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p205(Y)) & ![Y: $i] : ((~r1(X, Y)) | p105(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p604(X) & p504(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p604(X) & p404(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p504(X) & p404(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p604(X) & ![Y: $i] : ((~r1(X, Y)) | p304(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p504(X) & ![Y: $i] : ((~r1(X, Y)) | p304(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p404(X) & ![Y: $i] : ((~r1(X, Y)) | p304(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p604(X) & ![Y: $i] : ((~r1(X, Y)) | p204(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p504(X) & ![Y: $i] : ((~r1(X, Y)) | p204(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p404(X) & ![Y: $i] : ((~r1(X, Y)) | p204(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p304(Y)) & ![Y: $i] : ((~r1(X, Y)) | p204(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p604(X) & ![Y: $i] : ((~r1(X, Y)) | p104(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p504(X) & ![Y: $i] : ((~r1(X, Y)) | p104(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p404(X) & ![Y: $i] : ((~r1(X, Y)) | p104(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p304(Y)) & ![Y: $i] : ((~r1(X, Y)) | p104(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p204(Y)) & ![Y: $i] : ((~r1(X, Y)) | p104(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p503(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p403(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p503(X) & p403(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p303(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p503(X) & p303(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p403(X) & p303(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p603(X) & ![Y: $i] : ((~r1(X, Y)) | p203(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p503(X) & ![Y: $i] : ((~r1(X, Y)) | p203(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p403(X) & ![Y: $i] : ((~r1(X, Y)) | p203(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p303(X) & ![Y: $i] : ((~r1(X, Y)) | p203(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p603(X) & ![Y: $i] : ((~r1(X, Y)) | p103(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p503(X) & ![Y: $i] : ((~r1(X, Y)) | p103(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p403(X) & ![Y: $i] : ((~r1(X, Y)) | p103(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p303(X) & ![Y: $i] : ((~r1(X, Y)) | p103(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p203(Y)) & ![Y: $i] : ((~r1(X, Y)) | p103(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p502(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p402(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p402(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p302(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p302(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p402(X) & p302(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p202(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p202(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p402(X) & p202(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p302(X) & p202(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p602(X) & ![Y: $i] : ((~r1(X, Y)) | p102(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p502(X) & ![Y: $i] : ((~r1(X, Y)) | p102(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p402(X) & ![Y: $i] : ((~r1(X, Y)) | p102(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p302(X) & ![Y: $i] : ((~r1(X, Y)) | p102(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p202(X) & ![Y: $i] : ((~r1(X, Y)) | p102(Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p501(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p401(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p401(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p301(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p301(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p301(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p201(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p201(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p201(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p301(X) & p201(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p101(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p101(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p101(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p301(X) & p101(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p201(X) & p101(X))))))))) | (~(((((((((p605(X) | p604(X)) | p603(X)) | p602(X)) | p601(X)) & ((((p505(X) | p504(X)) | p503(X)) | p502(X)) | p501(X))) & ((((![Y: $i] : ((~r1(X, Y)) | p405(Y)) | p404(X)) | p403(X)) | p402(X)) | p401(X))) & ((((![Y: $i] : ((~r1(X, Y)) | p305(Y)) | ![Y: $i] : ((~r1(X, Y)) | p304(Y))) | p303(X)) | p302(X)) | p301(X))) & ((((![Y: $i] : ((~r1(X, Y)) | p205(Y)) | ![Y: $i] : ((~r1(X, Y)) | p204(Y))) | ![Y: $i] : ((~r1(X, Y)) | p203(Y))) | p202(X)) | p201(X))) & ((((![Y: $i] : ((~r1(X, Y)) | p105(Y)) | ![Y: $i] : ((~r1(X, Y)) | p104(Y))) | ![Y: $i] : ((~r1(X, Y)) | p103(Y))) | ![Y: $i] : ((~r1(X, Y)) | p102(Y))) | p101(X)))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','main')).
% 0.78/0.79 tff(38,plain,
% 0.78/0.79 (?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & ![Y: $i] : (p405(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p505(X) & ![Y: $i] : (p405(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p505(X) & ![Y: $i] : (p305(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & ![Y: $i] : (p305(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p405(Y) | (~r1(X, Y))) & ![Y: $i] : (p305(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p405(Y) | (~r1(X, Y))) & ![Y: $i] : ((~r1(X, Y)) | p205(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p305(Y) | (~r1(X, Y))) & ![Y: $i] : ((~r1(X, Y)) | p205(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p405(Y) | (~r1(X, Y))) & ![Y: $i] : ((~r1(X, Y)) | p105(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p305(Y) | (~r1(X, Y))) & ![Y: $i] : ((~r1(X, Y)) | p105(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p201(X) & p101(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p301(X) & p101(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p101(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p101(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p101(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p301(X) & p201(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p201(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p201(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p201(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p301(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p301(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p301(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p401(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p401(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p501(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p202(X) & ![Y: $i] : ((~r1(X, Y)) | p102(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p302(X) & ![Y: $i] : ((~r1(X, Y)) | p102(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p402(X) & ![Y: $i] : ((~r1(X, Y)) | p102(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p502(X) & ![Y: $i] : ((~r1(X, Y)) | p102(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p602(X) & ![Y: $i] : ((~r1(X, Y)) | p102(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p302(X) & p202(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p402(X) & p202(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p202(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p202(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p402(X) & p302(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p302(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p302(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p402(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p402(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p502(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p203(Y)) & ![Y: $i] : ((~r1(X, Y)) | p103(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p303(X) & ![Y: $i] : ((~r1(X, Y)) | p103(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p403(X) & ![Y: $i] : ((~r1(X, Y)) | p103(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p503(X) & ![Y: $i] : ((~r1(X, Y)) | p103(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p603(X) & ![Y: $i] : ((~r1(X, Y)) | p103(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p303(X) & ![Y: $i] : ((~r1(X, Y)) | p203(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p403(X) & ![Y: $i] : ((~r1(X, Y)) | p203(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p503(X) & ![Y: $i] : ((~r1(X, Y)) | p203(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p603(X) & ![Y: $i] : ((~r1(X, Y)) | p203(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p403(X) & p303(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p503(X) & p303(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p303(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p503(X) & p403(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p403(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p503(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p204(Y)) & ![Y: $i] : ((~r1(X, Y)) | p104(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p304(Y)) & ![Y: $i] : ((~r1(X, Y)) | p104(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p404(X) & ![Y: $i] : ((~r1(X, Y)) | p104(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p504(X) & ![Y: $i] : ((~r1(X, Y)) | p104(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p604(X) & ![Y: $i] : ((~r1(X, Y)) | p104(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p304(Y)) & ![Y: $i] : ((~r1(X, Y)) | p204(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p404(X) & ![Y: $i] : ((~r1(X, Y)) | p204(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p504(X) & ![Y: $i] : ((~r1(X, Y)) | p204(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p604(X) & ![Y: $i] : ((~r1(X, Y)) | p204(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p404(X) & ![Y: $i] : ((~r1(X, Y)) | p304(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p504(X) & ![Y: $i] : ((~r1(X, Y)) | p304(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p604(X) & ![Y: $i] : ((~r1(X, Y)) | p304(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p504(X) & p404(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p604(X) & p404(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p604(X) & p504(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p205(Y)) & ![Y: $i] : ((~r1(X, Y)) | p105(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p505(X) & ![Y: $i] : ((~r1(X, Y)) | p105(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & ![Y: $i] : ((~r1(X, Y)) | p105(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p505(X) & ![Y: $i] : ((~r1(X, Y)) | p205(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & ![Y: $i] : ((~r1(X, Y)) | p205(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & p505(X))))))))) | (~((p605(X) | p604(X) | p603(X) | p602(X) | p601(X)) & (p505(X) | p504(X) | p503(X) | p502(X) | p501(X)) & (![Y: $i] : (p405(Y) | (~r1(X, Y))) | p404(X) | p403(X) | p402(X) | p401(X)) & (![Y: $i] : (p305(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | p304(Y)) | p303(X) | p302(X) | p301(X)) & (![Y: $i] : ((~r1(X, Y)) | p205(Y)) | ![Y: $i] : ((~r1(X, Y)) | p204(Y)) | ![Y: $i] : ((~r1(X, Y)) | p203(Y)) | p202(X) | p201(X)) & (![Y: $i] : ((~r1(X, Y)) | p105(Y)) | ![Y: $i] : ((~r1(X, Y)) | p104(Y)) | ![Y: $i] : ((~r1(X, Y)) | p103(Y)) | ![Y: $i] : ((~r1(X, Y)) | p102(Y)) | p101(X))))))),
% 0.78/0.79 inference(modus_ponens,[status(thm)],[37, 36])).
% 0.78/0.79 tff(39,plain,
% 0.78/0.79 (?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & ![Y: $i] : (p405(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p505(X) & ![Y: $i] : (p405(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p505(X) & ![Y: $i] : (p305(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & ![Y: $i] : (p305(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p405(Y) | (~r1(X, Y))) & ![Y: $i] : (p305(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p405(Y) | (~r1(X, Y))) & ![Y: $i] : ((~r1(X, Y)) | p205(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p305(Y) | (~r1(X, Y))) & ![Y: $i] : ((~r1(X, Y)) | p205(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p405(Y) | (~r1(X, Y))) & ![Y: $i] : ((~r1(X, Y)) | p105(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : (p305(Y) | (~r1(X, Y))) & ![Y: $i] : ((~r1(X, Y)) | p105(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p201(X) & p101(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p301(X) & p101(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p101(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p101(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p101(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p301(X) & p201(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p201(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p201(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p201(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p301(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p301(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p301(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p401(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p401(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p501(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p202(X) & ![Y: $i] : ((~r1(X, Y)) | p102(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p302(X) & ![Y: $i] : ((~r1(X, Y)) | p102(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p402(X) & ![Y: $i] : ((~r1(X, Y)) | p102(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p502(X) & ![Y: $i] : ((~r1(X, Y)) | p102(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p602(X) & ![Y: $i] : ((~r1(X, Y)) | p102(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p302(X) & p202(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p402(X) & p202(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p202(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p202(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p402(X) & p302(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p302(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p302(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p402(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p402(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p502(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p203(Y)) & ![Y: $i] : ((~r1(X, Y)) | p103(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p303(X) & ![Y: $i] : ((~r1(X, Y)) | p103(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p403(X) & ![Y: $i] : ((~r1(X, Y)) | p103(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p503(X) & ![Y: $i] : ((~r1(X, Y)) | p103(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p603(X) & ![Y: $i] : ((~r1(X, Y)) | p103(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p303(X) & ![Y: $i] : ((~r1(X, Y)) | p203(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p403(X) & ![Y: $i] : ((~r1(X, Y)) | p203(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p503(X) & ![Y: $i] : ((~r1(X, Y)) | p203(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p603(X) & ![Y: $i] : ((~r1(X, Y)) | p203(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p403(X) & p303(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p503(X) & p303(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p303(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p503(X) & p403(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p403(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p503(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p204(Y)) & ![Y: $i] : ((~r1(X, Y)) | p104(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p304(Y)) & ![Y: $i] : ((~r1(X, Y)) | p104(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p404(X) & ![Y: $i] : ((~r1(X, Y)) | p104(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p504(X) & ![Y: $i] : ((~r1(X, Y)) | p104(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p604(X) & ![Y: $i] : ((~r1(X, Y)) | p104(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p304(Y)) & ![Y: $i] : ((~r1(X, Y)) | p204(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p404(X) & ![Y: $i] : ((~r1(X, Y)) | p204(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p504(X) & ![Y: $i] : ((~r1(X, Y)) | p204(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p604(X) & ![Y: $i] : ((~r1(X, Y)) | p204(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p404(X) & ![Y: $i] : ((~r1(X, Y)) | p304(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p504(X) & ![Y: $i] : ((~r1(X, Y)) | p304(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p604(X) & ![Y: $i] : ((~r1(X, Y)) | p304(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p504(X) & p404(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p604(X) & p404(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p604(X) & p504(X))))) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p205(Y)) & ![Y: $i] : ((~r1(X, Y)) | p105(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p505(X) & ![Y: $i] : ((~r1(X, Y)) | p105(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & ![Y: $i] : ((~r1(X, Y)) | p105(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p505(X) & ![Y: $i] : ((~r1(X, Y)) | p205(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & ![Y: $i] : ((~r1(X, Y)) | p205(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & p505(X))))))))) | (~((p605(X) | p604(X) | p603(X) | p602(X) | p601(X)) & (p505(X) | p504(X) | p503(X) | p502(X) | p501(X)) & (![Y: $i] : (p405(Y) | (~r1(X, Y))) | p404(X) | p403(X) | p402(X) | p401(X)) & (![Y: $i] : (p305(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | p304(Y)) | p303(X) | p302(X) | p301(X)) & (![Y: $i] : ((~r1(X, Y)) | p205(Y)) | ![Y: $i] : ((~r1(X, Y)) | p204(Y)) | ![Y: $i] : ((~r1(X, Y)) | p203(Y)) | p202(X) | p201(X)) & (![Y: $i] : ((~r1(X, Y)) | p105(Y)) | ![Y: $i] : ((~r1(X, Y)) | p104(Y)) | ![Y: $i] : ((~r1(X, Y)) | p103(Y)) | ![Y: $i] : ((~r1(X, Y)) | p102(Y)) | p101(X))))))),
% 0.78/0.79 inference(modus_ponens,[status(thm)],[38, 32])).
% 0.78/0.79 tff(40,plain,
% 0.78/0.79 (![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X))) & ![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X))) & ![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~p605(X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p201(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p301(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p301(X) & p201(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p201(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p201(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p201(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p301(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p301(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p301(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p401(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p401(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p501(X)))) & ![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X))) & ![X: $i] : ((~r1(Y, X)) | (~(p302(X) & p202(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p402(X) & p202(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p202(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p202(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p402(X) & p302(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p302(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p302(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p402(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p402(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p502(X)))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p403(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p503(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p603(X))) & ![X: $i] : ((~r1(Y, X)) | (~(p403(X) & p303(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p503(X) & p303(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p303(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p503(X) & p403(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p403(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p503(X)))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X))) & ![X: $i] : ((~r1(Y, X)) | (~(p504(X) & p404(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p604(X) & p404(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p604(X) & p504(X)))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X))))) & ![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X))) & ![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X))) & ![X: $i] : ((~r1(Y, X)) | (~(p605(X) & p505(X)))))) & (p605(X!0) | p604(X!0) | p602(X!0) | p603(X!0) | p601(X!0)) & (p504(X!0) | p503(X!0) | p502(X!0) | p501(X!0) | p505(X!0)) & (p402(X!0) | p401(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p403(X!0) | p404(X!0)) & (![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p302(X!0) | p303(X!0) | p301(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y)))) & (p202(X!0) | p201(X!0) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y)))) & (p101(X!0) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))))),
% 0.78/0.79 inference(modus_ponens,[status(thm)],[39, 31])).
% 0.78/0.79 tff(41,plain,
% 0.78/0.79 (![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X))) & ![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X))) & ![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~p605(X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p201(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p301(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p101(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p301(X) & p201(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p201(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p201(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p201(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p401(X) & p301(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p301(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p301(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p501(X) & p401(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p401(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p601(X) & p501(X)))) & ![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X))) & ![X: $i] : ((~r1(Y, X)) | (~(p302(X) & p202(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p402(X) & p202(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p202(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p202(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p402(X) & p302(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p302(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p302(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p502(X) & p402(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p402(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p602(X) & p502(X)))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p403(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p503(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p603(X))) & ![X: $i] : ((~r1(Y, X)) | (~(p403(X) & p303(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p503(X) & p303(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p303(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p503(X) & p403(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p403(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p603(X) & p503(X)))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X))) & ![X: $i] : ((~r1(Y, X)) | (~(p504(X) & p404(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p604(X) & p404(X)))) & ![X: $i] : ((~r1(Y, X)) | (~(p604(X) & p504(X)))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X))))) & ![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X))) & ![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))) & ![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X))) & ![X: $i] : ((~r1(Y, X)) | (~(p605(X) & p505(X))))))),
% 0.78/0.79 inference(and_elim,[status(thm)],[40])).
% 0.78/0.79 tff(42,plain,
% 0.78/0.79 (![Y: $i] : ((~r1(X!0, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~p605(X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~p302(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~p402(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~p502(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p302(X)) | (~p402(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p302(X)) | (~p502(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p302(X)) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p402(X)) | (~p502(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p402(X)) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p502(X)) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p303(X)) | (~p403(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p303(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p303(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~p605(X)))))))),
% 0.78/0.80 inference(modus_ponens,[status(thm)],[41, 25])).
% 0.78/0.80 tff(43,plain,
% 0.78/0.80 (![Y: $i] : ((~r1(X!0, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~p605(X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~p302(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~p402(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~p502(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p302(X)) | (~p402(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p302(X)) | (~p502(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p302(X)) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p402(X)) | (~p502(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p402(X)) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p502(X)) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p303(X)) | (~p403(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p303(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p303(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~p605(X)))))))),
% 0.78/0.80 inference(modus_ponens,[status(thm)],[42, 23])).
% 0.78/0.80 tff(44,plain,
% 0.78/0.80 (![Y: $i] : ((~r1(X!0, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~p302(X)) | (~p402(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p302(X)) | (~p502(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~p502(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p302(X)) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p605(X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | 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((~r1(Y, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~p302(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~p402(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p303(X)) | (~p403(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p303(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p303(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~p605(X)))))))),
% 0.78/0.80 inference(modus_ponens,[status(thm)],[43, 18])).
% 0.78/0.80 tff(45,plain,
% 0.78/0.80 (((~![Y: $i] : ((~r1(X!0, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~p302(X)) | (~p402(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p302(X)) | (~p502(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~p502(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(Y, X)) | 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p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~p605(X)))))))) | ((~r1(X!0, X!0)) | (~((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, 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$i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : 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(~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))))))) <=> ((~![Y: $i] : ((~r1(X!0, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~p302(X)) | (~p402(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p302(X)) | (~p502(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~p502(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | 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(~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))))))),
% 0.78/0.81 inference(rewrite,[status(thm)],[])).
% 0.78/0.81 tff(46,plain,
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(~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))))))),
% 0.78/0.81 inference(rewrite,[status(thm)],[])).
% 0.78/0.81 tff(47,plain,
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p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~p605(X)))))))) | ((~r1(X!0, X!0)) | (~((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))))))),
% 0.78/0.82 inference(monotonicity,[status(thm)],[46])).
% 0.78/0.82 tff(48,plain,
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tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | 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((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))))))),
% 0.78/0.83 inference(transitivity,[status(thm)],[47, 45])).
% 0.78/0.83 tff(49,plain,
% 0.78/0.83 ((~![Y: $i] : ((~r1(X!0, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~p302(X)) | (~p402(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p302(X)) | (~p502(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~p502(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p302(X)) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p605(X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p402(X)) | (~p502(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p402(X)) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p502(X)) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~p302(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~p402(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p303(X)) | (~p403(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p303(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p303(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~p605(X)))))))) | ((~r1(X!0, X!0)) | (~((~![X: $i] : ((~r1(X!0, X)) | (~p302(X)) | (~p402(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p302(X)) | (~p502(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p202(X)) | (~p502(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p202(X)) | (~p602(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) 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p205(tptp_fun_Y_3(X)))) | (~p605(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p505(X)) | (~p605(X)))))))),
% 0.78/0.83 inference(quant_inst,[status(thm)],[])).
% 0.78/0.83 tff(50,plain,
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(~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p402(X)) | (~p502(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p402(X)) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p502(X)) | (~p602(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : 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(~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p303(X)) | (~p403(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p303(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p303(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~p605(X)))))))) | (~r1(X!0, X!0)) | (~((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))))),
% 0.78/0.84 inference(modus_ponens,[status(thm)],[49, 48])).
% 0.78/0.84 tff(51,plain,
% 0.78/0.84 (~((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | 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% 0.78/0.84 inference(unit_resolution,[status(thm)],[50, 44, 16])).
% 0.78/0.84 tff(52,plain,
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p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))),
% 0.78/0.84 inference(tautology,[status(thm)],[])).
% 0.78/0.84 tff(53,plain,
% 0.78/0.84 (![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))),
% 0.78/0.84 inference(unit_resolution,[status(thm)],[52, 51])).
% 0.78/0.84 tff(54,plain,
% 0.78/0.84 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | ((~r1(X!0, X!0)) | (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))) | (~p605(X!0)))) <=> ((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~r1(X!0, X!0)) | (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))) | (~p605(X!0)))),
% 0.78/0.84 inference(rewrite,[status(thm)],[])).
% 0.78/0.84 tff(55,plain,
% 0.78/0.84 (((~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))) | (~p605(X!0)) | (~r1(X!0, X!0))) <=> ((~r1(X!0, X!0)) | (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))) | (~p605(X!0)))),
% 0.78/0.84 inference(rewrite,[status(thm)],[])).
% 0.78/0.84 tff(56,plain,
% 0.78/0.84 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | ((~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))) | (~p605(X!0)) | (~r1(X!0, X!0)))) <=> ((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | ((~r1(X!0, X!0)) | (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))) | (~p605(X!0))))),
% 0.78/0.84 inference(monotonicity,[status(thm)],[55])).
% 0.78/0.84 tff(57,plain,
% 0.78/0.84 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | ((~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))) | (~p605(X!0)) | (~r1(X!0, X!0)))) <=> ((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~r1(X!0, X!0)) | (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))) | (~p605(X!0)))),
% 0.78/0.84 inference(transitivity,[status(thm)],[56, 54])).
% 0.78/0.84 tff(58,plain,
% 0.78/0.84 ((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | ((~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))) | (~p605(X!0)) | (~r1(X!0, X!0)))),
% 0.78/0.84 inference(quant_inst,[status(thm)],[])).
% 0.78/0.84 tff(59,plain,
% 0.78/0.84 ((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~r1(X!0, X!0)) | (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))) | (~p605(X!0))),
% 0.78/0.84 inference(modus_ponens,[status(thm)],[58, 57])).
% 0.78/0.84 tff(60,plain,
% 0.78/0.84 ((~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))) | (~p605(X!0))),
% 0.78/0.84 inference(unit_resolution,[status(thm)],[59, 16, 53])).
% 0.78/0.84 tff(61,plain,
% 0.78/0.84 (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))),
% 0.78/0.84 inference(unit_resolution,[status(thm)],[60, 7])).
% 0.78/0.84 tff(62,assumption,(~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))), introduced(assumption)).
% 0.78/0.84 tff(63,plain,
% 0.78/0.84 ((p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0)))) | r1(X!0, tptp_fun_Y_1(X!0))),
% 0.78/0.84 inference(tautology,[status(thm)],[])).
% 0.78/0.84 tff(64,plain,
% 0.78/0.84 (r1(X!0, tptp_fun_Y_1(X!0))),
% 0.78/0.84 inference(unit_resolution,[status(thm)],[63, 62])).
% 0.78/0.84 tff(65,plain,
% 0.78/0.84 ((p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0)))) | (~p405(tptp_fun_Y_1(X!0)))),
% 0.78/0.84 inference(tautology,[status(thm)],[])).
% 0.78/0.84 tff(66,plain,
% 0.78/0.84 (~p405(tptp_fun_Y_1(X!0))),
% 0.78/0.84 inference(unit_resolution,[status(thm)],[65, 62])).
% 0.78/0.84 tff(67,assumption,(![Y: $i] : (p405(Y) | (~r1(X!0, Y)))), introduced(assumption)).
% 0.78/0.84 tff(68,plain,
% 0.78/0.84 (((~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))) | (p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))) <=> ((~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))) | p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))),
% 0.78/0.84 inference(rewrite,[status(thm)],[])).
% 0.78/0.84 tff(69,plain,
% 0.78/0.84 ((~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))) | (p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))),
% 0.78/0.84 inference(quant_inst,[status(thm)],[])).
% 0.78/0.84 tff(70,plain,
% 0.78/0.84 ((~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))) | p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0)))),
% 0.78/0.84 inference(modus_ponens,[status(thm)],[69, 68])).
% 0.78/0.84 tff(71,plain,
% 0.78/0.84 ($false),
% 0.78/0.84 inference(unit_resolution,[status(thm)],[70, 67, 66, 64])).
% 0.78/0.84 tff(72,plain,((p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0)))) | (~![Y: $i] : (p405(Y) | (~r1(X!0, Y))))), inference(lemma,lemma(discharge,[]))).
% 0.78/0.84 tff(73,plain,
% 0.78/0.84 (~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.78/0.84 inference(unit_resolution,[status(thm)],[72, 61])).
% 0.78/0.84 tff(74,plain,
% 0.78/0.84 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))),
% 0.78/0.84 inference(tautology,[status(thm)],[])).
% 0.78/0.84 tff(75,plain,
% 0.78/0.84 (![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))),
% 0.78/0.84 inference(unit_resolution,[status(thm)],[74, 51])).
% 0.78/0.84 tff(76,plain,
% 0.78/0.84 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | (~p605(X!0)))) <=> ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | (~p605(X!0)))),
% 0.78/0.84 inference(rewrite,[status(thm)],[])).
% 0.78/0.84 tff(77,plain,
% 0.78/0.84 (((~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | (~p605(X!0)) | (~r1(X!0, X!0))) <=> ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | (~p605(X!0)))),
% 0.78/0.84 inference(rewrite,[status(thm)],[])).
% 0.78/0.84 tff(78,plain,
% 0.78/0.84 ((~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) <=> (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0))))),
% 0.78/0.84 inference(rewrite,[status(thm)],[])).
% 0.78/0.84 tff(79,plain,
% 0.78/0.84 (((~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | (~p605(X!0)) | (~r1(X!0, X!0))) <=> ((~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | (~p605(X!0)) | (~r1(X!0, X!0)))),
% 0.78/0.84 inference(monotonicity,[status(thm)],[78])).
% 0.78/0.84 tff(80,plain,
% 0.78/0.84 (((~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | (~p605(X!0)) | (~r1(X!0, X!0))) <=> ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | (~p605(X!0)))),
% 0.78/0.84 inference(transitivity,[status(thm)],[79, 77])).
% 0.78/0.84 tff(81,plain,
% 0.78/0.84 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | ((~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | (~p605(X!0)) | (~r1(X!0, X!0)))) <=> ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | (~p605(X!0))))),
% 0.78/0.84 inference(monotonicity,[status(thm)],[80])).
% 0.78/0.84 tff(82,plain,
% 0.78/0.84 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | ((~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | (~p605(X!0)) | (~r1(X!0, X!0)))) <=> ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | (~p605(X!0)))),
% 0.78/0.84 inference(transitivity,[status(thm)],[81, 76])).
% 0.78/0.84 tff(83,plain,
% 0.78/0.84 ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | ((~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | (~p605(X!0)) | (~r1(X!0, X!0)))),
% 0.78/0.84 inference(quant_inst,[status(thm)],[])).
% 0.78/0.84 tff(84,plain,
% 0.78/0.84 ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | (~p605(X!0))),
% 0.78/0.84 inference(modus_ponens,[status(thm)],[83, 82])).
% 0.78/0.84 tff(85,plain,
% 0.78/0.84 ((~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | (~p605(X!0))),
% 0.78/0.84 inference(unit_resolution,[status(thm)],[84, 16, 75])).
% 0.78/0.84 tff(86,plain,
% 0.78/0.84 (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))),
% 0.78/0.84 inference(unit_resolution,[status(thm)],[85, 7])).
% 0.78/0.84 tff(87,assumption,(![Y: $i] : (p105(Y) | (~r1(X!0, Y)))), introduced(assumption)).
% 0.78/0.84 tff(88,assumption,(~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))), introduced(assumption)).
% 0.78/0.84 tff(89,plain,
% 0.78/0.84 (((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0))) | r1(X!0, tptp_fun_Y_4(X!0))),
% 0.78/0.85 inference(tautology,[status(thm)],[])).
% 0.78/0.85 tff(90,plain,
% 0.78/0.85 (r1(X!0, tptp_fun_Y_4(X!0))),
% 0.78/0.85 inference(unit_resolution,[status(thm)],[89, 88])).
% 0.78/0.85 tff(91,plain,
% 0.78/0.85 (((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0))) | (~p105(tptp_fun_Y_4(X!0)))),
% 0.78/0.85 inference(tautology,[status(thm)],[])).
% 0.78/0.85 tff(92,plain,
% 0.78/0.85 (~p105(tptp_fun_Y_4(X!0))),
% 0.78/0.85 inference(unit_resolution,[status(thm)],[91, 88])).
% 0.78/0.85 tff(93,assumption,(~p105(tptp_fun_Y_4(X!0))), introduced(assumption)).
% 0.78/0.85 tff(94,assumption,(r1(X!0, tptp_fun_Y_4(X!0))), introduced(assumption)).
% 0.78/0.85 tff(95,plain,
% 0.78/0.85 (((~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))) | (p105(tptp_fun_Y_4(X!0)) | (~r1(X!0, tptp_fun_Y_4(X!0))))) <=> ((~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))) | p105(tptp_fun_Y_4(X!0)) | (~r1(X!0, tptp_fun_Y_4(X!0))))),
% 0.78/0.85 inference(rewrite,[status(thm)],[])).
% 0.78/0.85 tff(96,plain,
% 0.78/0.85 ((~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))) | (p105(tptp_fun_Y_4(X!0)) | (~r1(X!0, tptp_fun_Y_4(X!0))))),
% 0.78/0.85 inference(quant_inst,[status(thm)],[])).
% 0.78/0.85 tff(97,plain,
% 0.78/0.85 ((~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))) | p105(tptp_fun_Y_4(X!0)) | (~r1(X!0, tptp_fun_Y_4(X!0)))),
% 0.78/0.85 inference(modus_ponens,[status(thm)],[96, 95])).
% 0.78/0.85 tff(98,plain,
% 0.78/0.85 ($false),
% 0.78/0.85 inference(unit_resolution,[status(thm)],[97, 87, 94, 93])).
% 0.78/0.85 tff(99,plain,((~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))) | (~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0))), inference(lemma,lemma(discharge,[]))).
% 0.78/0.85 tff(100,plain,
% 0.78/0.85 ($false),
% 0.78/0.85 inference(unit_resolution,[status(thm)],[99, 92, 90, 87])).
% 0.78/0.85 tff(101,plain,(((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0))) | (~![Y: $i] : (p105(Y) | (~r1(X!0, Y))))), inference(lemma,lemma(discharge,[]))).
% 0.78/0.85 tff(102,plain,
% 0.78/0.85 (~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.78/0.85 inference(unit_resolution,[status(thm)],[101, 86])).
% 0.78/0.85 tff(103,plain,
% 0.78/0.85 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))),
% 0.78/0.85 inference(tautology,[status(thm)],[])).
% 0.78/0.85 tff(104,plain,
% 0.78/0.85 (![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))),
% 0.78/0.85 inference(unit_resolution,[status(thm)],[103, 51])).
% 0.78/0.85 tff(105,plain,
% 0.78/0.85 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))) | ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))) | (~p605(X!0)))) <=> ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))) | (~p605(X!0)))),
% 0.78/0.85 inference(rewrite,[status(thm)],[])).
% 0.78/0.85 tff(106,plain,
% 0.78/0.85 (((~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))) | (~p605(X!0)) | (~r1(X!0, X!0))) <=> ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))) | (~p605(X!0)))),
% 0.78/0.85 inference(rewrite,[status(thm)],[])).
% 0.78/0.85 tff(107,plain,
% 0.78/0.85 ((~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))) <=> (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0))))),
% 0.78/0.85 inference(rewrite,[status(thm)],[])).
% 0.78/0.85 tff(108,plain,
% 0.78/0.85 (((~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))) | (~p605(X!0)) | (~r1(X!0, X!0))) <=> ((~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))) | (~p605(X!0)) | (~r1(X!0, X!0)))),
% 0.78/0.85 inference(monotonicity,[status(thm)],[107])).
% 0.78/0.85 tff(109,plain,
% 0.78/0.85 (((~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))) | (~p605(X!0)) | (~r1(X!0, X!0))) <=> ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))) | (~p605(X!0)))),
% 0.78/0.85 inference(transitivity,[status(thm)],[108, 106])).
% 0.78/0.85 tff(110,plain,
% 0.78/0.85 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))) | ((~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))) | (~p605(X!0)) | (~r1(X!0, X!0)))) <=> ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))) | ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))) | (~p605(X!0))))),
% 0.78/0.85 inference(monotonicity,[status(thm)],[109])).
% 0.78/0.85 tff(111,plain,
% 0.78/0.85 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))) | ((~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))) | (~p605(X!0)) | (~r1(X!0, X!0)))) <=> ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))) | (~p605(X!0)))),
% 0.78/0.85 inference(transitivity,[status(thm)],[110, 105])).
% 0.78/0.85 tff(112,plain,
% 0.78/0.85 ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))) | ((~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))) | (~p605(X!0)) | (~r1(X!0, X!0)))),
% 0.78/0.85 inference(quant_inst,[status(thm)],[])).
% 0.78/0.85 tff(113,plain,
% 0.78/0.85 ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))) | (~p605(X!0))),
% 0.78/0.85 inference(modus_ponens,[status(thm)],[112, 111])).
% 0.78/0.85 tff(114,plain,
% 0.78/0.85 ((~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))) | (~p605(X!0))),
% 0.78/0.85 inference(unit_resolution,[status(thm)],[113, 16, 104])).
% 0.78/0.85 tff(115,plain,
% 0.78/0.85 (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))),
% 0.78/0.85 inference(unit_resolution,[status(thm)],[114, 7])).
% 0.78/0.85 tff(116,assumption,(![Y: $i] : (p205(Y) | (~r1(X!0, Y)))), introduced(assumption)).
% 0.78/0.85 tff(117,assumption,(~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))), introduced(assumption)).
% 0.78/0.85 tff(118,plain,
% 0.78/0.85 (((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0))) | r1(X!0, tptp_fun_Y_3(X!0))),
% 0.78/0.85 inference(tautology,[status(thm)],[])).
% 0.78/0.85 tff(119,plain,
% 0.78/0.85 (r1(X!0, tptp_fun_Y_3(X!0))),
% 0.78/0.85 inference(unit_resolution,[status(thm)],[118, 117])).
% 0.78/0.85 tff(120,plain,
% 0.78/0.85 (((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0))) | (~p205(tptp_fun_Y_3(X!0)))),
% 0.78/0.85 inference(tautology,[status(thm)],[])).
% 0.78/0.85 tff(121,plain,
% 0.78/0.85 (~p205(tptp_fun_Y_3(X!0))),
% 0.78/0.85 inference(unit_resolution,[status(thm)],[120, 117])).
% 0.78/0.85 tff(122,assumption,(~p205(tptp_fun_Y_3(X!0))), introduced(assumption)).
% 0.78/0.85 tff(123,assumption,(r1(X!0, tptp_fun_Y_3(X!0))), introduced(assumption)).
% 0.78/0.85 tff(124,plain,
% 0.78/0.85 (((~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))) | (p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))) <=> ((~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))) | p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))),
% 0.78/0.85 inference(rewrite,[status(thm)],[])).
% 0.78/0.85 tff(125,plain,
% 0.78/0.85 ((~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))) | (p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))),
% 0.78/0.85 inference(quant_inst,[status(thm)],[])).
% 0.78/0.85 tff(126,plain,
% 0.78/0.85 ((~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))) | p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0)))),
% 0.78/0.85 inference(modus_ponens,[status(thm)],[125, 124])).
% 0.78/0.85 tff(127,plain,
% 0.78/0.85 ($false),
% 0.78/0.85 inference(unit_resolution,[status(thm)],[126, 116, 123, 122])).
% 0.78/0.85 tff(128,plain,((~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))) | (~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0))), inference(lemma,lemma(discharge,[]))).
% 0.78/0.85 tff(129,plain,
% 0.78/0.85 ($false),
% 0.78/0.85 inference(unit_resolution,[status(thm)],[128, 121, 119, 116])).
% 0.78/0.85 tff(130,plain,(((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0))) | (~![Y: $i] : (p205(Y) | (~r1(X!0, Y))))), inference(lemma,lemma(discharge,[]))).
% 0.78/0.85 tff(131,plain,
% 0.78/0.85 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.78/0.85 inference(unit_resolution,[status(thm)],[130, 115])).
% 0.78/0.85 tff(132,plain,
% 0.78/0.85 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))),
% 0.78/0.85 inference(tautology,[status(thm)],[])).
% 0.78/0.85 tff(133,plain,
% 0.78/0.85 (![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))),
% 0.78/0.85 inference(unit_resolution,[status(thm)],[132, 51])).
% 0.78/0.85 tff(134,plain,
% 0.78/0.85 (((~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | ((~p605(X!0)) | (~r1(X!0, X!0)) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))))) <=> ((~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~p605(X!0)) | (~r1(X!0, X!0)) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))))),
% 0.78/0.85 inference(rewrite,[status(thm)],[])).
% 0.78/0.85 tff(135,plain,
% 0.78/0.85 ((~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | ((~p605(X!0)) | (~r1(X!0, X!0)) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))))),
% 0.78/0.85 inference(quant_inst,[status(thm)],[])).
% 0.78/0.85 tff(136,plain,
% 0.78/0.85 ((~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~p605(X!0)) | (~r1(X!0, X!0)) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0)))))),
% 0.78/0.85 inference(modus_ponens,[status(thm)],[135, 134])).
% 0.78/0.85 tff(137,plain,
% 0.78/0.85 ((~p605(X!0)) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0)))))),
% 0.78/0.85 inference(unit_resolution,[status(thm)],[136, 16, 133])).
% 0.78/0.85 tff(138,plain,
% 0.78/0.85 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 0.78/0.85 inference(unit_resolution,[status(thm)],[137, 7])).
% 0.78/0.85 tff(139,assumption,(![Y: $i] : (p305(Y) | (~r1(X!0, Y)))), introduced(assumption)).
% 0.78/0.85 tff(140,assumption,(~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))), introduced(assumption)).
% 0.78/0.85 tff(141,plain,
% 0.78/0.85 ((p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0)))) | (~p305(tptp_fun_Y_2(X!0)))),
% 0.78/0.85 inference(tautology,[status(thm)],[])).
% 0.78/0.85 tff(142,plain,
% 0.78/0.85 (~p305(tptp_fun_Y_2(X!0))),
% 0.78/0.85 inference(unit_resolution,[status(thm)],[141, 140])).
% 0.78/0.85 tff(143,plain,
% 0.78/0.85 ((p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0)))) | r1(X!0, tptp_fun_Y_2(X!0))),
% 0.78/0.85 inference(tautology,[status(thm)],[])).
% 0.78/0.85 tff(144,plain,
% 0.78/0.85 (r1(X!0, tptp_fun_Y_2(X!0))),
% 0.78/0.85 inference(unit_resolution,[status(thm)],[143, 140])).
% 0.78/0.85 tff(145,assumption,(r1(X!0, tptp_fun_Y_2(X!0))), introduced(assumption)).
% 0.78/0.85 tff(146,assumption,(~p305(tptp_fun_Y_2(X!0))), introduced(assumption)).
% 0.78/0.85 tff(147,plain,
% 0.78/0.85 (((~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))) | (p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))) <=> ((~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))) | p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 0.78/0.85 inference(rewrite,[status(thm)],[])).
% 0.78/0.85 tff(148,plain,
% 0.78/0.85 ((~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))) | (p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 0.78/0.85 inference(quant_inst,[status(thm)],[])).
% 0.78/0.85 tff(149,plain,
% 0.78/0.85 ((~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))) | p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0)))),
% 0.78/0.85 inference(modus_ponens,[status(thm)],[148, 147])).
% 0.78/0.85 tff(150,plain,
% 0.78/0.85 ($false),
% 0.78/0.85 inference(unit_resolution,[status(thm)],[149, 139, 146, 145])).
% 0.78/0.85 tff(151,plain,((~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))) | p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0)))), inference(lemma,lemma(discharge,[]))).
% 0.78/0.85 tff(152,plain,
% 0.78/0.85 ($false),
% 0.78/0.85 inference(unit_resolution,[status(thm)],[151, 144, 142, 139])).
% 0.78/0.85 tff(153,plain,((p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0)))) | (~![Y: $i] : (p305(Y) | (~r1(X!0, Y))))), inference(lemma,lemma(discharge,[]))).
% 0.78/0.85 tff(154,plain,
% 0.78/0.85 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.78/0.85 inference(unit_resolution,[status(thm)],[153, 138])).
% 0.78/0.85 tff(155,plain,
% 0.78/0.85 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))),
% 0.88/0.85 inference(tautology,[status(thm)],[])).
% 0.88/0.85 tff(156,plain,
% 0.88/0.85 (![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))),
% 0.88/0.85 inference(unit_resolution,[status(thm)],[155, 51])).
% 0.88/0.85 tff(157,plain,
% 0.88/0.85 (((~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | ((~p505(X!0)) | (~p605(X!0)) | (~r1(X!0, X!0)))) <=> ((~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~p505(X!0)) | (~p605(X!0)) | (~r1(X!0, X!0)))),
% 0.88/0.85 inference(rewrite,[status(thm)],[])).
% 0.88/0.85 tff(158,plain,
% 0.88/0.85 ((~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | ((~p505(X!0)) | (~p605(X!0)) | (~r1(X!0, X!0)))),
% 0.88/0.85 inference(quant_inst,[status(thm)],[])).
% 0.88/0.85 tff(159,plain,
% 0.88/0.85 ((~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~p505(X!0)) | (~p605(X!0)) | (~r1(X!0, X!0))),
% 0.88/0.85 inference(modus_ponens,[status(thm)],[158, 157])).
% 0.88/0.85 tff(160,plain,
% 0.88/0.85 ((~p505(X!0)) | (~p605(X!0))),
% 0.88/0.85 inference(unit_resolution,[status(thm)],[159, 16, 156])).
% 0.88/0.85 tff(161,plain,
% 0.88/0.85 (~p505(X!0)),
% 0.88/0.85 inference(unit_resolution,[status(thm)],[160, 7])).
% 0.88/0.85 tff(162,assumption,(~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))), introduced(assumption)).
% 0.88/0.85 tff(163,assumption,(~p301(X!0)), introduced(assumption)).
% 0.88/0.85 tff(164,assumption,(~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))), introduced(assumption)).
% 0.88/0.85 tff(165,assumption,(~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))), introduced(assumption)).
% 0.88/0.85 tff(166,assumption,(~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))), introduced(assumption)).
% 0.88/0.85 tff(167,assumption,((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0))), introduced(assumption)).
% 0.88/0.85 tff(168,plain,
% 0.88/0.85 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))),
% 0.88/0.86 inference(tautology,[status(thm)],[])).
% 0.88/0.86 tff(169,plain,
% 0.88/0.86 (![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))),
% 0.88/0.86 inference(unit_resolution,[status(thm)],[168, 51])).
% 0.88/0.86 tff(170,plain,
% 0.88/0.86 (((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))) | (~p404(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))) | (~p404(X!0)))),
% 0.88/0.86 inference(rewrite,[status(thm)],[])).
% 0.88/0.86 tff(171,plain,
% 0.88/0.86 ((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))) | (~p404(X!0)))),
% 0.88/0.86 inference(quant_inst,[status(thm)],[])).
% 0.88/0.86 tff(172,plain,
% 0.88/0.86 ((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))) | (~p404(X!0))),
% 0.88/0.86 inference(modus_ponens,[status(thm)],[171, 170])).
% 0.88/0.86 tff(173,plain,
% 0.88/0.86 ((~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))) | (~p404(X!0))),
% 0.88/0.86 inference(unit_resolution,[status(thm)],[172, 16, 169])).
% 0.88/0.86 tff(174,plain,
% 0.88/0.86 (~p404(X!0)),
% 0.88/0.86 inference(unit_resolution,[status(thm)],[173, 167])).
% 0.88/0.86 tff(175,plain,
% 0.88/0.86 ((p402(X!0) | p401(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p403(X!0) | p404(X!0)) <=> (p402(X!0) | p401(X!0) | p403(X!0) | p404(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))))),
% 0.88/0.86 inference(rewrite,[status(thm)],[])).
% 0.88/0.86 tff(176,plain,
% 0.88/0.86 ((p402(X!0) | p401(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p403(X!0) | p404(X!0)) <=> (p402(X!0) | p401(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p403(X!0) | p404(X!0))),
% 0.88/0.86 inference(rewrite,[status(thm)],[])).
% 0.88/0.86 tff(177,plain,
% 0.88/0.86 (p402(X!0) | p401(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p403(X!0) | p404(X!0)),
% 0.88/0.86 inference(and_elim,[status(thm)],[40])).
% 0.88/0.86 tff(178,plain,
% 0.88/0.86 (p402(X!0) | p401(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p403(X!0) | p404(X!0)),
% 0.88/0.86 inference(modus_ponens,[status(thm)],[177, 176])).
% 0.88/0.86 tff(179,plain,
% 0.88/0.86 (p402(X!0) | p401(X!0) | p403(X!0) | p404(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.88/0.86 inference(modus_ponens,[status(thm)],[178, 175])).
% 0.88/0.86 tff(180,plain,
% 0.88/0.86 (p403(X!0)),
% 0.88/0.86 inference(unit_resolution,[status(thm)],[179, 174, 4, 164, 6])).
% 0.88/0.86 tff(181,plain,
% 0.88/0.86 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))),
% 0.88/0.86 inference(tautology,[status(thm)],[])).
% 0.88/0.86 tff(182,plain,
% 0.88/0.86 (![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))),
% 0.88/0.86 inference(unit_resolution,[status(thm)],[181, 51])).
% 0.88/0.86 tff(183,plain,
% 0.88/0.86 (((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))))),
% 0.88/0.86 inference(rewrite,[status(thm)],[])).
% 0.88/0.86 tff(184,plain,
% 0.88/0.86 ((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))))),
% 0.88/0.86 inference(quant_inst,[status(thm)],[])).
% 0.88/0.86 tff(185,plain,
% 0.88/0.86 ((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0))))),
% 0.88/0.86 inference(modus_ponens,[status(thm)],[184, 183])).
% 0.88/0.86 tff(186,plain,
% 0.88/0.86 ((~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0))))),
% 0.88/0.86 inference(unit_resolution,[status(thm)],[185, 16, 182])).
% 0.88/0.86 tff(187,plain,
% 0.88/0.86 (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))),
% 0.88/0.86 inference(unit_resolution,[status(thm)],[186, 167])).
% 0.88/0.86 tff(188,assumption,(![Y: $i] : (p304(Y) | (~r1(X!0, Y)))), introduced(assumption)).
% 0.88/0.86 tff(189,assumption,(~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))), introduced(assumption)).
% 0.88/0.86 tff(190,plain,
% 0.88/0.86 (((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0))) | r1(X!0, tptp_fun_Y_10(X!0))),
% 0.88/0.86 inference(tautology,[status(thm)],[])).
% 0.88/0.86 tff(191,plain,
% 0.88/0.86 (r1(X!0, tptp_fun_Y_10(X!0))),
% 0.88/0.86 inference(unit_resolution,[status(thm)],[190, 189])).
% 0.88/0.86 tff(192,plain,
% 0.88/0.86 (((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0))) | (~p304(tptp_fun_Y_10(X!0)))),
% 0.88/0.86 inference(tautology,[status(thm)],[])).
% 0.88/0.86 tff(193,plain,
% 0.88/0.86 (~p304(tptp_fun_Y_10(X!0))),
% 0.88/0.86 inference(unit_resolution,[status(thm)],[192, 189])).
% 0.88/0.86 tff(194,assumption,(~p304(tptp_fun_Y_10(X!0))), introduced(assumption)).
% 0.88/0.86 tff(195,assumption,(r1(X!0, tptp_fun_Y_10(X!0))), introduced(assumption)).
% 0.88/0.86 tff(196,plain,
% 0.88/0.86 (((~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))) | (p304(tptp_fun_Y_10(X!0)) | (~r1(X!0, tptp_fun_Y_10(X!0))))) <=> ((~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))) | p304(tptp_fun_Y_10(X!0)) | (~r1(X!0, tptp_fun_Y_10(X!0))))),
% 0.88/0.86 inference(rewrite,[status(thm)],[])).
% 0.88/0.86 tff(197,plain,
% 0.88/0.86 ((~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))) | (p304(tptp_fun_Y_10(X!0)) | (~r1(X!0, tptp_fun_Y_10(X!0))))),
% 0.88/0.86 inference(quant_inst,[status(thm)],[])).
% 0.88/0.86 tff(198,plain,
% 0.88/0.86 ((~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))) | p304(tptp_fun_Y_10(X!0)) | (~r1(X!0, tptp_fun_Y_10(X!0)))),
% 0.88/0.86 inference(modus_ponens,[status(thm)],[197, 196])).
% 0.88/0.86 tff(199,plain,
% 0.88/0.86 ($false),
% 0.88/0.86 inference(unit_resolution,[status(thm)],[198, 188, 195, 194])).
% 0.88/0.86 tff(200,plain,((~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))) | (~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0))), inference(lemma,lemma(discharge,[]))).
% 0.88/0.86 tff(201,plain,
% 0.88/0.86 ($false),
% 0.88/0.86 inference(unit_resolution,[status(thm)],[200, 193, 191, 188])).
% 0.88/0.86 tff(202,plain,(((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0))) | (~![Y: $i] : (p304(Y) | (~r1(X!0, Y))))), inference(lemma,lemma(discharge,[]))).
% 0.88/0.86 tff(203,plain,
% 0.88/0.86 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.88/0.86 inference(unit_resolution,[status(thm)],[202, 187])).
% 0.88/0.86 tff(204,plain,
% 0.88/0.86 ((![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p302(X!0) | p303(X!0) | p301(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y)))) <=> (p302(X!0) | p303(X!0) | p301(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))))),
% 0.88/0.86 inference(rewrite,[status(thm)],[])).
% 0.88/0.86 tff(205,plain,
% 0.88/0.86 ((![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p302(X!0) | p303(X!0) | p301(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y)))) <=> (![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p302(X!0) | p303(X!0) | p301(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))))),
% 0.88/0.86 inference(rewrite,[status(thm)],[])).
% 0.88/0.86 tff(206,plain,
% 0.88/0.86 (![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p302(X!0) | p303(X!0) | p301(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.88/0.86 inference(and_elim,[status(thm)],[40])).
% 0.88/0.86 tff(207,plain,
% 0.88/0.86 (![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p302(X!0) | p303(X!0) | p301(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.88/0.86 inference(modus_ponens,[status(thm)],[206, 205])).
% 0.88/0.86 tff(208,plain,
% 0.88/0.86 (p302(X!0) | p303(X!0) | p301(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.88/0.86 inference(modus_ponens,[status(thm)],[207, 204])).
% 0.88/0.86 tff(209,plain,
% 0.88/0.86 (p303(X!0)),
% 0.88/0.86 inference(unit_resolution,[status(thm)],[208, 203, 162, 163, 5])).
% 0.88/0.86 tff(210,plain,
% 0.88/0.86 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))),
% 0.88/0.86 inference(tautology,[status(thm)],[])).
% 0.88/0.86 tff(211,plain,
% 0.88/0.86 (![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))),
% 0.88/0.86 inference(unit_resolution,[status(thm)],[210, 51])).
% 0.88/0.86 tff(212,plain,
% 0.88/0.86 (((~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | ((~r1(X!0, X!0)) | (~p403(X!0)) | (~p303(X!0)))) <=> ((~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~r1(X!0, X!0)) | (~p403(X!0)) | (~p303(X!0)))),
% 0.88/0.86 inference(rewrite,[status(thm)],[])).
% 0.88/0.86 tff(213,plain,
% 0.88/0.86 (((~p303(X!0)) | (~r1(X!0, X!0)) | (~p403(X!0))) <=> ((~r1(X!0, X!0)) | (~p403(X!0)) | (~p303(X!0)))),
% 0.88/0.86 inference(rewrite,[status(thm)],[])).
% 0.88/0.86 tff(214,plain,
% 0.88/0.86 (((~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | ((~p303(X!0)) | (~r1(X!0, X!0)) | (~p403(X!0)))) <=> ((~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | ((~r1(X!0, X!0)) | (~p403(X!0)) | (~p303(X!0))))),
% 0.88/0.86 inference(monotonicity,[status(thm)],[213])).
% 0.88/0.86 tff(215,plain,
% 0.88/0.86 (((~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | ((~p303(X!0)) | (~r1(X!0, X!0)) | (~p403(X!0)))) <=> ((~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~r1(X!0, X!0)) | (~p403(X!0)) | (~p303(X!0)))),
% 0.88/0.86 inference(transitivity,[status(thm)],[214, 212])).
% 0.88/0.86 tff(216,plain,
% 0.88/0.86 ((~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | ((~p303(X!0)) | (~r1(X!0, X!0)) | (~p403(X!0)))),
% 0.88/0.86 inference(quant_inst,[status(thm)],[])).
% 0.88/0.86 tff(217,plain,
% 0.88/0.86 ((~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~r1(X!0, X!0)) | (~p403(X!0)) | (~p303(X!0))),
% 0.88/0.86 inference(modus_ponens,[status(thm)],[216, 215])).
% 0.88/0.86 tff(218,plain,
% 0.88/0.86 ((~p403(X!0)) | (~p303(X!0))),
% 0.88/0.86 inference(unit_resolution,[status(thm)],[217, 16, 211])).
% 0.88/0.86 tff(219,plain,
% 0.88/0.86 ($false),
% 0.88/0.86 inference(unit_resolution,[status(thm)],[218, 209, 180])).
% 0.88/0.86 tff(220,plain,((~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p301(X!0) | p302(X!0) | p401(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p402(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.88/0.86 tff(221,plain,
% 0.88/0.86 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 0.88/0.86 inference(unit_resolution,[status(thm)],[220, 163, 4, 164, 162, 5, 6])).
% 0.88/0.86 tff(222,assumption,(![Y: $i] : (p104(Y) | (~r1(X!0, Y)))), introduced(assumption)).
% 0.88/0.86 tff(223,assumption,(~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))), introduced(assumption)).
% 0.88/0.86 tff(224,plain,
% 0.88/0.86 (((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0))) | r1(X!0, tptp_fun_Y_9(X!0))),
% 0.88/0.86 inference(tautology,[status(thm)],[])).
% 0.88/0.86 tff(225,plain,
% 0.88/0.86 (r1(X!0, tptp_fun_Y_9(X!0))),
% 0.88/0.86 inference(unit_resolution,[status(thm)],[224, 223])).
% 0.88/0.86 tff(226,plain,
% 0.88/0.86 (((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0))) | (~p104(tptp_fun_Y_9(X!0)))),
% 0.88/0.86 inference(tautology,[status(thm)],[])).
% 0.88/0.86 tff(227,plain,
% 0.88/0.86 (~p104(tptp_fun_Y_9(X!0))),
% 0.88/0.86 inference(unit_resolution,[status(thm)],[226, 223])).
% 0.88/0.86 tff(228,assumption,(~p104(tptp_fun_Y_9(X!0))), introduced(assumption)).
% 0.88/0.86 tff(229,assumption,(r1(X!0, tptp_fun_Y_9(X!0))), introduced(assumption)).
% 0.88/0.86 tff(230,plain,
% 0.88/0.86 (((~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))) | (p104(tptp_fun_Y_9(X!0)) | (~r1(X!0, tptp_fun_Y_9(X!0))))) <=> ((~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))) | p104(tptp_fun_Y_9(X!0)) | (~r1(X!0, tptp_fun_Y_9(X!0))))),
% 0.88/0.86 inference(rewrite,[status(thm)],[])).
% 0.88/0.86 tff(231,plain,
% 0.88/0.86 ((~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))) | (p104(tptp_fun_Y_9(X!0)) | (~r1(X!0, tptp_fun_Y_9(X!0))))),
% 0.88/0.86 inference(quant_inst,[status(thm)],[])).
% 0.88/0.86 tff(232,plain,
% 0.88/0.86 ((~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))) | p104(tptp_fun_Y_9(X!0)) | (~r1(X!0, tptp_fun_Y_9(X!0)))),
% 0.88/0.86 inference(modus_ponens,[status(thm)],[231, 230])).
% 0.88/0.86 tff(233,plain,
% 0.88/0.86 ($false),
% 0.88/0.86 inference(unit_resolution,[status(thm)],[232, 222, 229, 228])).
% 0.88/0.86 tff(234,plain,((~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))) | (~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0))), inference(lemma,lemma(discharge,[]))).
% 0.88/0.86 tff(235,plain,
% 0.88/0.86 ($false),
% 0.88/0.86 inference(unit_resolution,[status(thm)],[234, 227, 225, 222])).
% 0.88/0.86 tff(236,plain,(((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0))) | (~![Y: $i] : (p104(Y) | (~r1(X!0, Y))))), inference(lemma,lemma(discharge,[]))).
% 0.88/0.86 tff(237,plain,
% 0.88/0.86 (~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.88/0.86 inference(unit_resolution,[status(thm)],[236, 221])).
% 0.88/0.86 tff(238,assumption,(~p502(X!0)), introduced(assumption)).
% 0.88/0.86 tff(239,assumption,(p403(X!0)), introduced(assumption)).
% 0.88/0.86 tff(240,plain,
% 0.88/0.86 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))),
% 0.88/0.87 inference(tautology,[status(thm)],[])).
% 0.88/0.87 tff(241,plain,
% 0.88/0.87 (![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))),
% 0.88/0.87 inference(unit_resolution,[status(thm)],[240, 51])).
% 0.88/0.87 tff(242,plain,
% 0.88/0.87 (((~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | ((~r1(X!0, X!0)) | (~p403(X!0)) | (~p503(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~r1(X!0, X!0)) | (~p403(X!0)) | (~p503(X!0)))),
% 0.88/0.87 inference(rewrite,[status(thm)],[])).
% 0.88/0.87 tff(243,plain,
% 0.88/0.87 ((~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | ((~r1(X!0, X!0)) | (~p403(X!0)) | (~p503(X!0)))),
% 0.88/0.87 inference(quant_inst,[status(thm)],[])).
% 0.88/0.87 tff(244,plain,
% 0.88/0.87 ((~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~r1(X!0, X!0)) | (~p403(X!0)) | (~p503(X!0))),
% 0.88/0.87 inference(modus_ponens,[status(thm)],[243, 242])).
% 0.88/0.87 tff(245,plain,
% 0.88/0.87 ((~p403(X!0)) | (~p503(X!0))),
% 0.88/0.87 inference(unit_resolution,[status(thm)],[244, 16, 241])).
% 0.88/0.87 tff(246,plain,
% 0.88/0.87 (~p503(X!0)),
% 0.88/0.87 inference(unit_resolution,[status(thm)],[245, 239])).
% 0.88/0.87 tff(247,assumption,(~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))), introduced(assumption)).
% 0.88/0.87 tff(248,plain,
% 0.88/0.87 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) 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X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))),
% 0.88/0.87 inference(tautology,[status(thm)],[])).
% 0.88/0.87 tff(249,plain,
% 0.88/0.87 (![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))),
% 0.88/0.87 inference(unit_resolution,[status(thm)],[248, 51])).
% 0.88/0.87 tff(250,plain,
% 0.88/0.87 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~p403(X!0)))) <=> ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~p403(X!0)))),
% 0.88/0.87 inference(rewrite,[status(thm)],[])).
% 0.88/0.87 tff(251,plain,
% 0.88/0.87 (((~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~r1(X!0, X!0)) | (~p403(X!0))) <=> ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~p403(X!0)))),
% 0.88/0.87 inference(rewrite,[status(thm)],[])).
% 0.88/0.87 tff(252,plain,
% 0.88/0.87 ((~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) <=> (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0))))),
% 0.88/0.87 inference(rewrite,[status(thm)],[])).
% 0.88/0.87 tff(253,plain,
% 0.88/0.87 (((~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~r1(X!0, X!0)) | (~p403(X!0))) <=> ((~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~r1(X!0, X!0)) | (~p403(X!0)))),
% 0.88/0.87 inference(monotonicity,[status(thm)],[252])).
% 0.88/0.87 tff(254,plain,
% 0.88/0.87 (((~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~r1(X!0, X!0)) | (~p403(X!0))) <=> ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~p403(X!0)))),
% 0.88/0.87 inference(transitivity,[status(thm)],[253, 251])).
% 0.88/0.87 tff(255,plain,
% 0.88/0.87 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | ((~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~r1(X!0, X!0)) | (~p403(X!0)))) <=> ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~p403(X!0))))),
% 0.88/0.87 inference(monotonicity,[status(thm)],[254])).
% 0.88/0.87 tff(256,plain,
% 0.88/0.87 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | ((~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~r1(X!0, X!0)) | (~p403(X!0)))) <=> ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~p403(X!0)))),
% 0.88/0.87 inference(transitivity,[status(thm)],[255, 250])).
% 0.88/0.87 tff(257,plain,
% 0.88/0.87 ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | ((~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~r1(X!0, X!0)) | (~p403(X!0)))),
% 0.88/0.87 inference(quant_inst,[status(thm)],[])).
% 0.88/0.87 tff(258,plain,
% 0.88/0.87 ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~p403(X!0))),
% 0.88/0.87 inference(modus_ponens,[status(thm)],[257, 256])).
% 0.88/0.87 tff(259,plain,
% 0.88/0.87 ((~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~p403(X!0))),
% 0.88/0.87 inference(unit_resolution,[status(thm)],[258, 16, 249])).
% 0.88/0.87 tff(260,plain,
% 0.88/0.87 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 0.88/0.87 inference(unit_resolution,[status(thm)],[259, 239])).
% 0.88/0.87 tff(261,assumption,(![Y: $i] : (p103(Y) | (~r1(X!0, Y)))), introduced(assumption)).
% 0.88/0.87 tff(262,assumption,(~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))), introduced(assumption)).
% 0.88/0.87 tff(263,plain,
% 0.88/0.87 (((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0))) | r1(X!0, tptp_fun_Y_7(X!0))),
% 0.88/0.87 inference(tautology,[status(thm)],[])).
% 0.88/0.87 tff(264,plain,
% 0.88/0.87 (r1(X!0, tptp_fun_Y_7(X!0))),
% 0.88/0.87 inference(unit_resolution,[status(thm)],[263, 262])).
% 0.88/0.87 tff(265,plain,
% 0.88/0.87 (((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0))) | (~p103(tptp_fun_Y_7(X!0)))),
% 0.88/0.87 inference(tautology,[status(thm)],[])).
% 0.88/0.87 tff(266,plain,
% 0.88/0.87 (~p103(tptp_fun_Y_7(X!0))),
% 0.88/0.87 inference(unit_resolution,[status(thm)],[265, 262])).
% 0.88/0.87 tff(267,assumption,(~p103(tptp_fun_Y_7(X!0))), introduced(assumption)).
% 0.88/0.87 tff(268,assumption,(r1(X!0, tptp_fun_Y_7(X!0))), introduced(assumption)).
% 0.88/0.87 tff(269,plain,
% 0.88/0.87 (((~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))) | (p103(tptp_fun_Y_7(X!0)) | (~r1(X!0, tptp_fun_Y_7(X!0))))) <=> ((~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))) | p103(tptp_fun_Y_7(X!0)) | (~r1(X!0, tptp_fun_Y_7(X!0))))),
% 0.88/0.87 inference(rewrite,[status(thm)],[])).
% 0.88/0.87 tff(270,plain,
% 0.88/0.87 ((~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))) | (p103(tptp_fun_Y_7(X!0)) | (~r1(X!0, tptp_fun_Y_7(X!0))))),
% 0.88/0.87 inference(quant_inst,[status(thm)],[])).
% 0.88/0.87 tff(271,plain,
% 0.88/0.87 ((~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))) | p103(tptp_fun_Y_7(X!0)) | (~r1(X!0, tptp_fun_Y_7(X!0)))),
% 0.88/0.87 inference(modus_ponens,[status(thm)],[270, 269])).
% 0.88/0.87 tff(272,plain,
% 0.88/0.87 ($false),
% 0.88/0.87 inference(unit_resolution,[status(thm)],[271, 261, 268, 267])).
% 0.88/0.87 tff(273,plain,((~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))) | (~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0))), inference(lemma,lemma(discharge,[]))).
% 0.88/0.87 tff(274,plain,
% 0.88/0.87 ($false),
% 0.88/0.87 inference(unit_resolution,[status(thm)],[273, 266, 264, 261])).
% 0.88/0.87 tff(275,plain,(((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0))) | (~![Y: $i] : (p103(Y) | (~r1(X!0, Y))))), inference(lemma,lemma(discharge,[]))).
% 0.88/0.87 tff(276,plain,
% 0.88/0.87 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.88/0.87 inference(unit_resolution,[status(thm)],[275, 260])).
% 0.88/0.87 tff(277,plain,
% 0.88/0.87 ((p101(X!0) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y)))) <=> (p101(X!0) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))))),
% 0.88/0.87 inference(rewrite,[status(thm)],[])).
% 0.88/0.87 tff(278,plain,
% 0.88/0.87 (p101(X!0) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 0.88/0.87 inference(and_elim,[status(thm)],[40])).
% 0.88/0.87 tff(279,plain,
% 0.88/0.87 (p101(X!0) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 0.88/0.87 inference(modus_ponens,[status(thm)],[278, 277])).
% 0.88/0.87 tff(280,plain,
% 0.88/0.87 (p101(X!0)),
% 0.88/0.87 inference(unit_resolution,[status(thm)],[279, 276, 247, 1, 166])).
% 0.88/0.87 tff(281,plain,
% 0.88/0.87 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))),
% 0.88/0.87 inference(tautology,[status(thm)],[])).
% 0.88/0.87 tff(282,plain,
% 0.88/0.87 (![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))),
% 0.88/0.87 inference(unit_resolution,[status(thm)],[281, 51])).
% 0.88/0.87 tff(283,plain,
% 0.88/0.87 (((~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | ((~r1(X!0, X!0)) | (~p101(X!0)) | (~p501(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~r1(X!0, X!0)) | (~p101(X!0)) | (~p501(X!0)))),
% 0.88/0.87 inference(rewrite,[status(thm)],[])).
% 0.88/0.87 tff(284,plain,
% 0.88/0.87 (((~r1(X!0, X!0)) | (~p501(X!0)) | (~p101(X!0))) <=> ((~r1(X!0, X!0)) | (~p101(X!0)) | (~p501(X!0)))),
% 0.88/0.87 inference(rewrite,[status(thm)],[])).
% 0.88/0.87 tff(285,plain,
% 0.88/0.87 (((~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | ((~r1(X!0, X!0)) | (~p501(X!0)) | (~p101(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | ((~r1(X!0, X!0)) | (~p101(X!0)) | (~p501(X!0))))),
% 0.88/0.87 inference(monotonicity,[status(thm)],[284])).
% 0.88/0.87 tff(286,plain,
% 0.88/0.87 (((~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | ((~r1(X!0, X!0)) | (~p501(X!0)) | (~p101(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~r1(X!0, X!0)) | (~p101(X!0)) | (~p501(X!0)))),
% 0.88/0.87 inference(transitivity,[status(thm)],[285, 283])).
% 0.88/0.87 tff(287,plain,
% 0.88/0.87 ((~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | ((~r1(X!0, X!0)) | (~p501(X!0)) | (~p101(X!0)))),
% 0.88/0.87 inference(quant_inst,[status(thm)],[])).
% 0.88/0.87 tff(288,plain,
% 0.88/0.87 ((~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~r1(X!0, X!0)) | (~p101(X!0)) | (~p501(X!0))),
% 0.88/0.87 inference(modus_ponens,[status(thm)],[287, 286])).
% 0.88/0.87 tff(289,plain,
% 0.88/0.87 ((~p101(X!0)) | (~p501(X!0))),
% 0.88/0.87 inference(unit_resolution,[status(thm)],[288, 16, 282])).
% 0.88/0.87 tff(290,plain,
% 0.88/0.87 (~p501(X!0)),
% 0.88/0.87 inference(unit_resolution,[status(thm)],[289, 280])).
% 0.88/0.87 tff(291,plain,
% 0.88/0.87 (~p303(X!0)),
% 0.88/0.87 inference(unit_resolution,[status(thm)],[218, 239])).
% 0.88/0.87 tff(292,plain,
% 0.88/0.87 (![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.88/0.87 inference(unit_resolution,[status(thm)],[208, 291, 163, 162, 5])).
% 0.88/0.87 tff(293,plain,
% 0.88/0.87 ((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0))),
% 0.88/0.87 inference(unit_resolution,[status(thm)],[202, 292])).
% 0.88/0.87 tff(294,plain,
% 0.88/0.87 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) 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p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))),
% 0.88/0.88 inference(tautology,[status(thm)],[])).
% 0.88/0.88 tff(295,plain,
% 0.88/0.88 (![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))),
% 0.88/0.88 inference(unit_resolution,[status(thm)],[294, 51])).
% 0.88/0.88 tff(296,plain,
% 0.88/0.88 (((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))) | (~p504(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))) | (~p504(X!0)))),
% 0.88/0.88 inference(rewrite,[status(thm)],[])).
% 0.88/0.88 tff(297,plain,
% 0.88/0.88 ((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))) | (~p504(X!0)))),
% 0.88/0.88 inference(quant_inst,[status(thm)],[])).
% 0.88/0.88 tff(298,plain,
% 0.88/0.88 ((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))) | (~p504(X!0))),
% 0.88/0.88 inference(modus_ponens,[status(thm)],[297, 296])).
% 0.88/0.88 tff(299,plain,
% 0.88/0.88 ((~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))) | (~p504(X!0))),
% 0.88/0.88 inference(unit_resolution,[status(thm)],[298, 16, 295])).
% 0.88/0.88 tff(300,plain,
% 0.88/0.88 (~p504(X!0)),
% 0.88/0.88 inference(unit_resolution,[status(thm)],[299, 293])).
% 0.88/0.88 tff(301,plain,
% 0.88/0.88 (p504(X!0) | p503(X!0) | p502(X!0) | p501(X!0) | p505(X!0)),
% 0.88/0.88 inference(and_elim,[status(thm)],[40])).
% 0.88/0.88 tff(302,plain,
% 0.88/0.88 ($false),
% 0.88/0.88 inference(unit_resolution,[status(thm)],[301, 300, 290, 3, 238, 246])).
% 0.88/0.88 tff(303,plain,((~p403(X!0)) | p505(X!0) | p502(X!0) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | p301(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p302(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.88/0.88 tff(304,plain,
% 0.88/0.88 (~p403(X!0)),
% 0.88/0.88 inference(unit_resolution,[status(thm)],[303, 238, 3, 237, 1, 166, 163, 162, 5])).
% 0.88/0.88 tff(305,plain,
% 0.88/0.88 (p404(X!0)),
% 0.88/0.88 inference(unit_resolution,[status(thm)],[179, 304, 4, 6, 164])).
% 0.88/0.88 tff(306,plain,
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| (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))),
% 0.88/0.88 inference(tautology,[status(thm)],[])).
% 0.88/0.88 tff(307,plain,
% 0.88/0.88 (![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))),
% 0.88/0.88 inference(unit_resolution,[status(thm)],[306, 51])).
% 0.88/0.88 tff(308,plain,
% 0.88/0.88 (((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))) | (~p404(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))) | (~p404(X!0)))),
% 0.88/0.88 inference(rewrite,[status(thm)],[])).
% 0.88/0.88 tff(309,plain,
% 0.88/0.88 ((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))) | (~p404(X!0)))),
% 0.88/0.88 inference(quant_inst,[status(thm)],[])).
% 0.88/0.88 tff(310,plain,
% 0.88/0.88 ((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))) | (~p404(X!0))),
% 0.88/0.88 inference(modus_ponens,[status(thm)],[309, 308])).
% 0.88/0.88 tff(311,plain,
% 0.88/0.88 ((~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))) | (~p404(X!0))),
% 0.88/0.88 inference(unit_resolution,[status(thm)],[310, 16, 307])).
% 0.88/0.88 tff(312,plain,
% 0.88/0.88 (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))),
% 0.88/0.88 inference(unit_resolution,[status(thm)],[311, 305])).
% 0.88/0.88 tff(313,plain,
% 0.88/0.88 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.88/0.88 inference(unit_resolution,[status(thm)],[202, 312])).
% 0.88/0.88 tff(314,plain,
% 0.88/0.88 (p303(X!0)),
% 0.88/0.88 inference(unit_resolution,[status(thm)],[208, 313, 163, 162, 5])).
% 0.88/0.88 tff(315,plain,
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| (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))),
% 0.88/0.88 inference(tautology,[status(thm)],[])).
% 0.88/0.88 tff(316,plain,
% 0.88/0.88 (![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))),
% 0.88/0.88 inference(unit_resolution,[status(thm)],[315, 51])).
% 0.88/0.88 tff(317,plain,
% 0.88/0.88 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~p303(X!0)))) <=> ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~p303(X!0)))),
% 0.88/0.88 inference(rewrite,[status(thm)],[])).
% 0.88/0.88 tff(318,plain,
% 0.88/0.88 (((~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~p303(X!0)) | (~r1(X!0, X!0))) <=> ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~p303(X!0)))),
% 0.88/0.88 inference(rewrite,[status(thm)],[])).
% 0.88/0.88 tff(319,plain,
% 0.88/0.88 (((~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~p303(X!0)) | (~r1(X!0, X!0))) <=> ((~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~p303(X!0)) | (~r1(X!0, X!0)))),
% 0.88/0.88 inference(monotonicity,[status(thm)],[252])).
% 0.88/0.88 tff(320,plain,
% 0.88/0.88 (((~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~p303(X!0)) | (~r1(X!0, X!0))) <=> ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~p303(X!0)))),
% 0.88/0.88 inference(transitivity,[status(thm)],[319, 318])).
% 0.88/0.88 tff(321,plain,
% 0.88/0.88 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | ((~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~p303(X!0)) | (~r1(X!0, X!0)))) <=> ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~p303(X!0))))),
% 0.88/0.88 inference(monotonicity,[status(thm)],[320])).
% 0.88/0.88 tff(322,plain,
% 0.88/0.88 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | ((~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~p303(X!0)) | (~r1(X!0, X!0)))) <=> ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~p303(X!0)))),
% 0.88/0.88 inference(transitivity,[status(thm)],[321, 317])).
% 0.88/0.88 tff(323,plain,
% 0.88/0.88 ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | ((~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~p303(X!0)) | (~r1(X!0, X!0)))),
% 0.88/0.88 inference(quant_inst,[status(thm)],[])).
% 0.88/0.88 tff(324,plain,
% 0.88/0.88 ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~p303(X!0))),
% 0.88/0.88 inference(modus_ponens,[status(thm)],[323, 322])).
% 0.88/0.88 tff(325,plain,
% 0.88/0.88 ((~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~p303(X!0))),
% 0.88/0.88 inference(unit_resolution,[status(thm)],[324, 16, 316])).
% 0.88/0.88 tff(326,plain,
% 0.88/0.88 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 0.88/0.88 inference(unit_resolution,[status(thm)],[325, 314])).
% 0.88/0.88 tff(327,plain,
% 0.88/0.88 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.88/0.88 inference(unit_resolution,[status(thm)],[275, 326])).
% 0.88/0.88 tff(328,plain,
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p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))),
% 0.88/0.88 inference(tautology,[status(thm)],[])).
% 0.88/0.88 tff(329,plain,
% 0.88/0.88 (![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))),
% 0.88/0.88 inference(unit_resolution,[status(thm)],[328, 51])).
% 0.88/0.88 tff(330,plain,
% 0.88/0.88 (((~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | ((~r1(X!0, X!0)) | (~p504(X!0)) | (~p404(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~r1(X!0, X!0)) | (~p504(X!0)) | (~p404(X!0)))),
% 0.88/0.88 inference(rewrite,[status(thm)],[])).
% 0.88/0.88 tff(331,plain,
% 0.88/0.88 (((~r1(X!0, X!0)) | (~p404(X!0)) | (~p504(X!0))) <=> ((~r1(X!0, X!0)) | (~p504(X!0)) | (~p404(X!0)))),
% 0.88/0.88 inference(rewrite,[status(thm)],[])).
% 0.88/0.88 tff(332,plain,
% 0.88/0.88 (((~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | ((~r1(X!0, X!0)) | (~p404(X!0)) | (~p504(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | ((~r1(X!0, X!0)) | (~p504(X!0)) | (~p404(X!0))))),
% 0.88/0.88 inference(monotonicity,[status(thm)],[331])).
% 0.88/0.88 tff(333,plain,
% 0.88/0.88 (((~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | ((~r1(X!0, X!0)) | (~p404(X!0)) | (~p504(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~r1(X!0, X!0)) | (~p504(X!0)) | (~p404(X!0)))),
% 0.88/0.88 inference(transitivity,[status(thm)],[332, 330])).
% 0.88/0.88 tff(334,plain,
% 0.88/0.88 ((~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | ((~r1(X!0, X!0)) | (~p404(X!0)) | (~p504(X!0)))),
% 0.88/0.88 inference(quant_inst,[status(thm)],[])).
% 0.88/0.88 tff(335,plain,
% 0.88/0.88 ((~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~r1(X!0, X!0)) | (~p504(X!0)) | (~p404(X!0))),
% 0.88/0.88 inference(modus_ponens,[status(thm)],[334, 333])).
% 0.88/0.88 tff(336,plain,
% 0.88/0.88 ((~p504(X!0)) | (~p404(X!0))),
% 0.88/0.88 inference(unit_resolution,[status(thm)],[335, 16, 329])).
% 0.88/0.88 tff(337,plain,
% 0.88/0.88 (~p504(X!0)),
% 0.88/0.88 inference(unit_resolution,[status(thm)],[336, 305])).
% 0.88/0.88 tff(338,plain,
% 0.88/0.88 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))),
% 0.88/0.89 inference(tautology,[status(thm)],[])).
% 0.88/0.89 tff(339,plain,
% 0.88/0.89 (![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))),
% 0.88/0.89 inference(unit_resolution,[status(thm)],[338, 51])).
% 0.88/0.89 tff(340,plain,
% 0.88/0.89 (((~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | ((~r1(X!0, X!0)) | (~p503(X!0)) | (~p303(X!0)))) <=> ((~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | (~r1(X!0, X!0)) | (~p503(X!0)) | (~p303(X!0)))),
% 0.88/0.89 inference(rewrite,[status(thm)],[])).
% 0.88/0.89 tff(341,plain,
% 0.88/0.89 (((~p303(X!0)) | (~r1(X!0, X!0)) | (~p503(X!0))) <=> ((~r1(X!0, X!0)) | (~p503(X!0)) | (~p303(X!0)))),
% 0.88/0.89 inference(rewrite,[status(thm)],[])).
% 0.88/0.89 tff(342,plain,
% 0.88/0.89 (((~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | ((~p303(X!0)) | (~r1(X!0, X!0)) | (~p503(X!0)))) <=> ((~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | ((~r1(X!0, X!0)) | (~p503(X!0)) | (~p303(X!0))))),
% 0.88/0.89 inference(monotonicity,[status(thm)],[341])).
% 0.88/0.89 tff(343,plain,
% 0.88/0.89 (((~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | ((~p303(X!0)) | (~r1(X!0, X!0)) | (~p503(X!0)))) <=> ((~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | (~r1(X!0, X!0)) | (~p503(X!0)) | (~p303(X!0)))),
% 0.88/0.89 inference(transitivity,[status(thm)],[342, 340])).
% 0.88/0.89 tff(344,plain,
% 0.88/0.89 ((~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | ((~p303(X!0)) | (~r1(X!0, X!0)) | (~p503(X!0)))),
% 0.88/0.89 inference(quant_inst,[status(thm)],[])).
% 0.88/0.89 tff(345,plain,
% 0.88/0.89 ((~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | (~r1(X!0, X!0)) | (~p503(X!0)) | (~p303(X!0))),
% 0.88/0.89 inference(modus_ponens,[status(thm)],[344, 343])).
% 0.88/0.89 tff(346,plain,
% 0.88/0.89 ((~p503(X!0)) | (~p303(X!0))),
% 0.88/0.89 inference(unit_resolution,[status(thm)],[345, 16, 339])).
% 0.88/0.89 tff(347,plain,
% 0.88/0.89 (~p503(X!0)),
% 0.88/0.89 inference(unit_resolution,[status(thm)],[346, 314])).
% 0.88/0.89 tff(348,plain,
% 0.88/0.89 (p501(X!0)),
% 0.88/0.89 inference(unit_resolution,[status(thm)],[301, 347, 3, 238, 337])).
% 0.88/0.89 tff(349,plain,
% 0.88/0.89 (~p101(X!0)),
% 0.88/0.89 inference(unit_resolution,[status(thm)],[289, 348])).
% 0.88/0.89 tff(350,plain,
% 0.88/0.89 ($false),
% 0.88/0.89 inference(unit_resolution,[status(thm)],[279, 349, 327, 237, 1, 166])).
% 0.88/0.89 tff(351,plain,(p502(X!0) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | p505(X!0) | p301(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p302(X!0) | p401(X!0) | p402(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.88/0.89 tff(352,plain,
% 0.88/0.89 (p502(X!0)),
% 0.88/0.89 inference(unit_resolution,[status(thm)],[351, 1, 166, 3, 163, 162, 5, 4, 6, 164])).
% 0.88/0.89 tff(353,plain,
% 0.88/0.89 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))),
% 0.88/0.89 inference(tautology,[status(thm)],[])).
% 0.88/0.89 tff(354,plain,
% 0.88/0.89 (![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))),
% 0.88/0.89 inference(unit_resolution,[status(thm)],[353, 51])).
% 0.88/0.89 tff(355,plain,
% 0.88/0.89 (((~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | ((~p202(X!0)) | (~p502(X!0)) | (~r1(X!0, X!0)))) <=> ((~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~p202(X!0)) | (~p502(X!0)) | (~r1(X!0, X!0)))),
% 0.88/0.89 inference(rewrite,[status(thm)],[])).
% 0.88/0.89 tff(356,plain,
% 0.88/0.89 ((~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | ((~p202(X!0)) | (~p502(X!0)) | (~r1(X!0, X!0)))),
% 0.88/0.89 inference(quant_inst,[status(thm)],[])).
% 0.88/0.89 tff(357,plain,
% 0.88/0.89 ((~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~p202(X!0)) | (~p502(X!0)) | (~r1(X!0, X!0))),
% 0.88/0.89 inference(modus_ponens,[status(thm)],[356, 355])).
% 0.88/0.89 tff(358,plain,
% 0.88/0.89 ((~p202(X!0)) | (~p502(X!0))),
% 0.88/0.89 inference(unit_resolution,[status(thm)],[357, 16, 354])).
% 0.88/0.89 tff(359,plain,
% 0.88/0.89 (~p202(X!0)),
% 0.88/0.89 inference(unit_resolution,[status(thm)],[358, 352])).
% 0.88/0.89 tff(360,assumption,((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0))), introduced(assumption)).
% 0.88/0.89 tff(361,plain,
% 0.88/0.89 (~p403(X!0)),
% 0.88/0.89 inference(unit_resolution,[status(thm)],[259, 360])).
% 0.88/0.89 tff(362,plain,
% 0.88/0.89 (p404(X!0)),
% 0.88/0.89 inference(unit_resolution,[status(thm)],[179, 361, 4, 6, 164])).
% 0.88/0.89 tff(363,plain,
% 0.88/0.89 (~p303(X!0)),
% 0.88/0.89 inference(unit_resolution,[status(thm)],[325, 360])).
% 0.88/0.89 tff(364,plain,
% 0.88/0.89 (![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.88/0.89 inference(unit_resolution,[status(thm)],[208, 363, 163, 162, 5])).
% 0.88/0.89 tff(365,plain,
% 0.88/0.89 ((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0))),
% 0.88/0.89 inference(unit_resolution,[status(thm)],[202, 364])).
% 0.88/0.89 tff(366,plain,
% 0.88/0.89 ($false),
% 0.88/0.89 inference(unit_resolution,[status(thm)],[311, 365, 362])).
% 0.88/0.89 tff(367,plain,((~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | p401(X!0) | p402(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p301(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p302(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.88/0.89 tff(368,plain,
% 0.88/0.89 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 0.88/0.89 inference(unit_resolution,[status(thm)],[367, 163, 6, 164, 4, 162, 5])).
% 0.88/0.89 tff(369,plain,
% 0.88/0.89 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.88/0.89 inference(unit_resolution,[status(thm)],[275, 368])).
% 0.88/0.89 tff(370,plain,
% 0.88/0.89 (p101(X!0)),
% 0.88/0.89 inference(unit_resolution,[status(thm)],[279, 1, 237, 369, 166])).
% 0.88/0.89 tff(371,plain,
% 0.88/0.89 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, 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p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))),
% 0.92/0.89 inference(tautology,[status(thm)],[])).
% 0.92/0.89 tff(372,plain,
% 0.92/0.89 (![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))),
% 0.92/0.89 inference(unit_resolution,[status(thm)],[371, 51])).
% 0.92/0.89 tff(373,plain,
% 0.92/0.89 (((~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | ((~r1(X!0, X!0)) | (~p101(X!0)) | (~p201(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~r1(X!0, X!0)) | (~p101(X!0)) | (~p201(X!0)))),
% 0.92/0.89 inference(rewrite,[status(thm)],[])).
% 0.92/0.89 tff(374,plain,
% 0.92/0.89 (((~r1(X!0, X!0)) | (~p201(X!0)) | (~p101(X!0))) <=> ((~r1(X!0, X!0)) | (~p101(X!0)) | (~p201(X!0)))),
% 0.92/0.89 inference(rewrite,[status(thm)],[])).
% 0.92/0.89 tff(375,plain,
% 0.92/0.89 (((~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | ((~r1(X!0, X!0)) | (~p201(X!0)) | (~p101(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | ((~r1(X!0, X!0)) | (~p101(X!0)) | (~p201(X!0))))),
% 0.92/0.89 inference(monotonicity,[status(thm)],[374])).
% 0.92/0.89 tff(376,plain,
% 0.92/0.89 (((~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | ((~r1(X!0, X!0)) | (~p201(X!0)) | (~p101(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~r1(X!0, X!0)) | (~p101(X!0)) | (~p201(X!0)))),
% 0.92/0.89 inference(transitivity,[status(thm)],[375, 373])).
% 0.92/0.89 tff(377,plain,
% 0.92/0.89 ((~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | ((~r1(X!0, X!0)) | (~p201(X!0)) | (~p101(X!0)))),
% 0.92/0.89 inference(quant_inst,[status(thm)],[])).
% 0.92/0.89 tff(378,plain,
% 0.92/0.89 ((~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~r1(X!0, X!0)) | (~p101(X!0)) | (~p201(X!0))),
% 0.92/0.89 inference(modus_ponens,[status(thm)],[377, 376])).
% 0.92/0.89 tff(379,plain,
% 0.92/0.89 ((~p101(X!0)) | (~p201(X!0))),
% 0.92/0.89 inference(unit_resolution,[status(thm)],[378, 16, 372])).
% 0.92/0.89 tff(380,plain,
% 0.92/0.89 (~p201(X!0)),
% 0.92/0.89 inference(unit_resolution,[status(thm)],[379, 370])).
% 0.92/0.89 tff(381,assumption,(~p201(X!0)), introduced(assumption)).
% 0.92/0.89 tff(382,assumption,(p303(X!0)), introduced(assumption)).
% 0.92/0.89 tff(383,plain,
% 0.92/0.89 (~p403(X!0)),
% 0.92/0.89 inference(unit_resolution,[status(thm)],[218, 382])).
% 0.92/0.89 tff(384,plain,
% 0.92/0.89 (p404(X!0)),
% 0.92/0.89 inference(unit_resolution,[status(thm)],[179, 383, 4, 164, 6])).
% 0.92/0.89 tff(385,plain,
% 0.92/0.89 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) 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p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))),
% 0.92/0.90 inference(tautology,[status(thm)],[])).
% 0.92/0.90 tff(386,plain,
% 0.92/0.90 (![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))),
% 0.92/0.90 inference(unit_resolution,[status(thm)],[385, 51])).
% 0.92/0.90 tff(387,plain,
% 0.92/0.90 (((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))) | (~p404(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))) | (~p404(X!0)))),
% 0.92/0.90 inference(rewrite,[status(thm)],[])).
% 0.92/0.90 tff(388,plain,
% 0.92/0.90 ((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))) | (~p404(X!0)))),
% 0.92/0.90 inference(quant_inst,[status(thm)],[])).
% 0.92/0.90 tff(389,plain,
% 0.92/0.90 ((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))) | (~p404(X!0))),
% 0.92/0.90 inference(modus_ponens,[status(thm)],[388, 387])).
% 0.92/0.90 tff(390,plain,
% 0.92/0.90 ((~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))) | (~p404(X!0))),
% 0.92/0.90 inference(unit_resolution,[status(thm)],[389, 16, 386])).
% 0.92/0.90 tff(391,plain,
% 0.92/0.90 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 0.92/0.90 inference(unit_resolution,[status(thm)],[390, 384])).
% 0.92/0.90 tff(392,plain,
% 0.92/0.90 (((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0))) | (~p204(tptp_fun_Y_8(X!0)))),
% 0.92/0.90 inference(tautology,[status(thm)],[])).
% 0.92/0.90 tff(393,plain,
% 0.92/0.90 (~p204(tptp_fun_Y_8(X!0))),
% 0.92/0.90 inference(unit_resolution,[status(thm)],[392, 391])).
% 0.92/0.90 tff(394,plain,
% 0.92/0.90 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))),
% 0.92/0.90 inference(tautology,[status(thm)],[])).
% 0.92/0.90 tff(395,plain,
% 0.92/0.90 (![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))),
% 0.92/0.90 inference(unit_resolution,[status(thm)],[394, 51])).
% 0.92/0.90 tff(396,plain,
% 0.92/0.90 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~p303(X!0)))) <=> ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~p303(X!0)))),
% 0.92/0.90 inference(rewrite,[status(thm)],[])).
% 0.92/0.90 tff(397,plain,
% 0.92/0.90 (((~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~p303(X!0)) | (~r1(X!0, X!0))) <=> ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~p303(X!0)))),
% 0.92/0.90 inference(rewrite,[status(thm)],[])).
% 0.92/0.90 tff(398,plain,
% 0.92/0.90 ((~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) <=> (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0))))),
% 0.92/0.90 inference(rewrite,[status(thm)],[])).
% 0.92/0.90 tff(399,plain,
% 0.92/0.90 (((~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~p303(X!0)) | (~r1(X!0, X!0))) <=> ((~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~p303(X!0)) | (~r1(X!0, X!0)))),
% 0.92/0.90 inference(monotonicity,[status(thm)],[398])).
% 0.92/0.90 tff(400,plain,
% 0.92/0.90 (((~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~p303(X!0)) | (~r1(X!0, X!0))) <=> ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~p303(X!0)))),
% 0.92/0.90 inference(transitivity,[status(thm)],[399, 397])).
% 0.92/0.90 tff(401,plain,
% 0.92/0.90 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | ((~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~p303(X!0)) | (~r1(X!0, X!0)))) <=> ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~p303(X!0))))),
% 0.92/0.90 inference(monotonicity,[status(thm)],[400])).
% 0.92/0.90 tff(402,plain,
% 0.92/0.90 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | ((~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~p303(X!0)) | (~r1(X!0, X!0)))) <=> ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~p303(X!0)))),
% 0.92/0.90 inference(transitivity,[status(thm)],[401, 396])).
% 0.92/0.90 tff(403,plain,
% 0.92/0.90 ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | ((~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~p303(X!0)) | (~r1(X!0, X!0)))),
% 0.92/0.90 inference(quant_inst,[status(thm)],[])).
% 0.92/0.90 tff(404,plain,
% 0.92/0.90 ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~p303(X!0))),
% 0.92/0.90 inference(modus_ponens,[status(thm)],[403, 402])).
% 0.92/0.90 tff(405,plain,
% 0.92/0.90 ((~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~p303(X!0))),
% 0.92/0.90 inference(unit_resolution,[status(thm)],[404, 16, 395])).
% 0.92/0.90 tff(406,plain,
% 0.92/0.90 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 0.92/0.90 inference(unit_resolution,[status(thm)],[405, 382])).
% 0.92/0.90 tff(407,plain,
% 0.92/0.90 (((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0))) | (~p203(tptp_fun_Y_6(X!0)))),
% 0.92/0.90 inference(tautology,[status(thm)],[])).
% 0.92/0.90 tff(408,plain,
% 0.92/0.90 (~p203(tptp_fun_Y_6(X!0))),
% 0.92/0.90 inference(unit_resolution,[status(thm)],[407, 406])).
% 0.92/0.90 tff(409,plain,
% 0.92/0.90 (((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0))) | r1(X!0, tptp_fun_Y_6(X!0))),
% 0.92/0.90 inference(tautology,[status(thm)],[])).
% 0.92/0.90 tff(410,plain,
% 0.92/0.90 (r1(X!0, tptp_fun_Y_6(X!0))),
% 0.92/0.90 inference(unit_resolution,[status(thm)],[409, 406])).
% 0.92/0.90 tff(411,assumption,(~p203(tptp_fun_Y_6(X!0))), introduced(assumption)).
% 0.92/0.90 tff(412,assumption,(r1(X!0, tptp_fun_Y_6(X!0))), introduced(assumption)).
% 0.92/0.90 tff(413,assumption,(![Y: $i] : (p203(Y) | (~r1(X!0, Y)))), introduced(assumption)).
% 0.92/0.90 tff(414,plain,
% 0.92/0.90 (((~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))) | (p203(tptp_fun_Y_6(X!0)) | (~r1(X!0, tptp_fun_Y_6(X!0))))) <=> ((~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))) | p203(tptp_fun_Y_6(X!0)) | (~r1(X!0, tptp_fun_Y_6(X!0))))),
% 0.92/0.90 inference(rewrite,[status(thm)],[])).
% 0.92/0.90 tff(415,plain,
% 0.92/0.90 ((~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))) | (p203(tptp_fun_Y_6(X!0)) | (~r1(X!0, tptp_fun_Y_6(X!0))))),
% 0.92/0.90 inference(quant_inst,[status(thm)],[])).
% 0.92/0.90 tff(416,plain,
% 0.92/0.90 ((~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))) | p203(tptp_fun_Y_6(X!0)) | (~r1(X!0, tptp_fun_Y_6(X!0)))),
% 0.92/0.90 inference(modus_ponens,[status(thm)],[415, 414])).
% 0.92/0.90 tff(417,plain,
% 0.92/0.90 ($false),
% 0.92/0.90 inference(unit_resolution,[status(thm)],[416, 413, 412, 411])).
% 0.92/0.90 tff(418,plain,((~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))) | (~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0))), inference(lemma,lemma(discharge,[]))).
% 0.92/0.90 tff(419,plain,
% 0.92/0.90 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.92/0.90 inference(unit_resolution,[status(thm)],[418, 410, 408])).
% 0.92/0.90 tff(420,plain,
% 0.92/0.90 ((p202(X!0) | p201(X!0) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y)))) <=> (p202(X!0) | p201(X!0) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))))),
% 0.92/0.90 inference(rewrite,[status(thm)],[])).
% 0.92/0.90 tff(421,plain,
% 0.92/0.90 (p202(X!0) | p201(X!0) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.92/0.90 inference(and_elim,[status(thm)],[40])).
% 0.92/0.90 tff(422,plain,
% 0.92/0.90 (p202(X!0) | p201(X!0) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.92/0.90 inference(modus_ponens,[status(thm)],[421, 420])).
% 0.92/0.90 tff(423,plain,
% 0.92/0.90 (![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.92/0.90 inference(unit_resolution,[status(thm)],[422, 419, 381, 2, 165])).
% 0.92/0.90 tff(424,plain,
% 0.92/0.90 (((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0))) | r1(X!0, tptp_fun_Y_8(X!0))),
% 0.92/0.90 inference(tautology,[status(thm)],[])).
% 0.92/0.90 tff(425,plain,
% 0.92/0.90 (r1(X!0, tptp_fun_Y_8(X!0))),
% 0.92/0.90 inference(unit_resolution,[status(thm)],[424, 391])).
% 0.92/0.90 tff(426,assumption,(~p204(tptp_fun_Y_8(X!0))), introduced(assumption)).
% 0.92/0.90 tff(427,assumption,(r1(X!0, tptp_fun_Y_8(X!0))), introduced(assumption)).
% 0.92/0.90 tff(428,assumption,(![Y: $i] : (p204(Y) | (~r1(X!0, Y)))), introduced(assumption)).
% 0.92/0.90 tff(429,plain,
% 0.92/0.90 (((~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))) | (p204(tptp_fun_Y_8(X!0)) | (~r1(X!0, tptp_fun_Y_8(X!0))))) <=> ((~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))) | p204(tptp_fun_Y_8(X!0)) | (~r1(X!0, tptp_fun_Y_8(X!0))))),
% 0.92/0.90 inference(rewrite,[status(thm)],[])).
% 0.92/0.90 tff(430,plain,
% 0.92/0.90 ((~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))) | (p204(tptp_fun_Y_8(X!0)) | (~r1(X!0, tptp_fun_Y_8(X!0))))),
% 0.92/0.90 inference(quant_inst,[status(thm)],[])).
% 0.92/0.90 tff(431,plain,
% 0.92/0.90 ((~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))) | p204(tptp_fun_Y_8(X!0)) | (~r1(X!0, tptp_fun_Y_8(X!0)))),
% 0.92/0.90 inference(modus_ponens,[status(thm)],[430, 429])).
% 0.92/0.90 tff(432,plain,
% 0.92/0.90 ($false),
% 0.92/0.90 inference(unit_resolution,[status(thm)],[431, 428, 427, 426])).
% 0.92/0.90 tff(433,plain,((~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))) | (~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0))), inference(lemma,lemma(discharge,[]))).
% 0.92/0.90 tff(434,plain,
% 0.92/0.90 ($false),
% 0.92/0.90 inference(unit_resolution,[status(thm)],[433, 425, 423, 393])).
% 0.92/0.90 tff(435,plain,((~p303(X!0)) | p201(X!0) | p202(X!0) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p401(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p402(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.92/0.90 tff(436,plain,
% 0.92/0.90 (~p303(X!0)),
% 0.92/0.90 inference(unit_resolution,[status(thm)],[435, 2, 4, 381, 164, 6, 165])).
% 0.92/0.90 tff(437,plain,
% 0.92/0.90 (![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.92/0.90 inference(unit_resolution,[status(thm)],[208, 436, 163, 162, 5])).
% 0.92/0.90 tff(438,plain,
% 0.92/0.90 ((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0))),
% 0.92/0.90 inference(unit_resolution,[status(thm)],[202, 437])).
% 0.92/0.90 tff(439,plain,
% 0.92/0.90 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))),
% 0.92/0.90 inference(tautology,[status(thm)],[])).
% 0.92/0.90 tff(440,plain,
% 0.92/0.90 (![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))),
% 0.92/0.90 inference(unit_resolution,[status(thm)],[439, 51])).
% 0.92/0.90 tff(441,plain,
% 0.92/0.90 (((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))))),
% 0.92/0.90 inference(rewrite,[status(thm)],[])).
% 0.92/0.90 tff(442,plain,
% 0.92/0.90 (((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0))))) <=> ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))))),
% 0.92/0.90 inference(rewrite,[status(thm)],[])).
% 0.92/0.90 tff(443,plain,
% 0.92/0.90 ((~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))) <=> (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0))))),
% 0.92/0.90 inference(rewrite,[status(thm)],[])).
% 0.92/0.90 tff(444,plain,
% 0.92/0.90 ((~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))) <=> (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0))))),
% 0.92/0.90 inference(rewrite,[status(thm)],[])).
% 0.92/0.90 tff(445,plain,
% 0.92/0.90 (((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0))))) <=> ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))))),
% 0.92/0.90 inference(monotonicity,[status(thm)],[444, 443])).
% 0.92/0.90 tff(446,plain,
% 0.92/0.90 (((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0))))) <=> ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))))),
% 0.92/0.90 inference(transitivity,[status(thm)],[445, 442])).
% 0.92/0.90 tff(447,plain,
% 0.92/0.90 (((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0))))))),
% 0.92/0.90 inference(monotonicity,[status(thm)],[446])).
% 0.92/0.90 tff(448,plain,
% 0.92/0.90 (((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))))),
% 0.92/0.90 inference(transitivity,[status(thm)],[447, 441])).
% 0.92/0.90 tff(449,plain,
% 0.92/0.90 ((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))))),
% 0.92/0.90 inference(quant_inst,[status(thm)],[])).
% 0.92/0.90 tff(450,plain,
% 0.92/0.90 ((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0))))),
% 0.92/0.90 inference(modus_ponens,[status(thm)],[449, 448])).
% 0.92/0.90 tff(451,plain,
% 0.92/0.90 ((~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0))))),
% 0.92/0.90 inference(unit_resolution,[status(thm)],[450, 16, 440])).
% 0.92/0.90 tff(452,plain,
% 0.92/0.90 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 0.92/0.90 inference(unit_resolution,[status(thm)],[451, 438])).
% 0.92/0.90 tff(453,assumption,(~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))), introduced(assumption)).
% 0.92/0.90 tff(454,plain,
% 0.92/0.90 (r1(X!0, tptp_fun_Y_8(X!0))),
% 0.92/0.90 inference(unit_resolution,[status(thm)],[424, 453])).
% 0.92/0.90 tff(455,plain,
% 0.92/0.90 (~p204(tptp_fun_Y_8(X!0))),
% 0.92/0.90 inference(unit_resolution,[status(thm)],[392, 453])).
% 0.92/0.90 tff(456,plain,
% 0.92/0.90 ($false),
% 0.92/0.90 inference(unit_resolution,[status(thm)],[433, 455, 454, 428])).
% 0.92/0.90 tff(457,plain,(((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0))) | (~![Y: $i] : (p204(Y) | (~r1(X!0, Y))))), inference(lemma,lemma(discharge,[]))).
% 0.92/0.91 tff(458,plain,
% 0.92/0.91 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.92/0.91 inference(unit_resolution,[status(thm)],[457, 452])).
% 0.92/0.91 tff(459,plain,
% 0.92/0.91 (![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.92/0.91 inference(unit_resolution,[status(thm)],[422, 458, 165, 381, 2])).
% 0.92/0.91 tff(460,plain,
% 0.92/0.91 (~p404(X!0)),
% 0.92/0.91 inference(unit_resolution,[status(thm)],[311, 438])).
% 0.92/0.91 tff(461,plain,
% 0.92/0.91 (p403(X!0)),
% 0.92/0.91 inference(unit_resolution,[status(thm)],[179, 460, 4, 6, 164])).
% 0.92/0.91 tff(462,plain,
% 0.92/0.91 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))),
% 0.92/0.91 inference(tautology,[status(thm)],[])).
% 0.92/0.91 tff(463,plain,
% 0.92/0.91 (![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))),
% 0.92/0.91 inference(unit_resolution,[status(thm)],[462, 51])).
% 0.92/0.91 tff(464,plain,
% 0.92/0.91 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~p403(X!0)))) <=> ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~p403(X!0)))),
% 0.92/0.91 inference(rewrite,[status(thm)],[])).
% 0.92/0.91 tff(465,plain,
% 0.92/0.91 (((~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~r1(X!0, X!0)) | (~p403(X!0))) <=> ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~p403(X!0)))),
% 0.92/0.91 inference(rewrite,[status(thm)],[])).
% 0.92/0.91 tff(466,plain,
% 0.92/0.91 (((~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~r1(X!0, X!0)) | (~p403(X!0))) <=> ((~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~r1(X!0, X!0)) | (~p403(X!0)))),
% 0.92/0.91 inference(monotonicity,[status(thm)],[398])).
% 0.92/0.91 tff(467,plain,
% 0.92/0.91 (((~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~r1(X!0, X!0)) | (~p403(X!0))) <=> ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~p403(X!0)))),
% 0.92/0.91 inference(transitivity,[status(thm)],[466, 465])).
% 0.92/0.91 tff(468,plain,
% 0.92/0.91 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | ((~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~r1(X!0, X!0)) | (~p403(X!0)))) <=> ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~p403(X!0))))),
% 0.92/0.91 inference(monotonicity,[status(thm)],[467])).
% 0.92/0.91 tff(469,plain,
% 0.92/0.91 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | ((~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~r1(X!0, X!0)) | (~p403(X!0)))) <=> ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~p403(X!0)))),
% 0.92/0.91 inference(transitivity,[status(thm)],[468, 464])).
% 0.92/0.91 tff(470,plain,
% 0.92/0.91 ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | ((~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~r1(X!0, X!0)) | (~p403(X!0)))),
% 0.92/0.91 inference(quant_inst,[status(thm)],[])).
% 0.92/0.91 tff(471,plain,
% 0.92/0.91 ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~p403(X!0))),
% 0.92/0.91 inference(modus_ponens,[status(thm)],[470, 469])).
% 0.92/0.91 tff(472,plain,
% 0.92/0.91 ((~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~p403(X!0))),
% 0.92/0.91 inference(unit_resolution,[status(thm)],[471, 16, 463])).
% 0.92/0.91 tff(473,plain,
% 0.92/0.91 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 0.92/0.91 inference(unit_resolution,[status(thm)],[472, 461])).
% 0.92/0.91 tff(474,assumption,(~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))), introduced(assumption)).
% 0.92/0.91 tff(475,plain,
% 0.92/0.91 (r1(X!0, tptp_fun_Y_6(X!0))),
% 0.92/0.91 inference(unit_resolution,[status(thm)],[409, 474])).
% 0.92/0.91 tff(476,plain,
% 0.92/0.91 (~p203(tptp_fun_Y_6(X!0))),
% 0.92/0.91 inference(unit_resolution,[status(thm)],[407, 474])).
% 0.92/0.91 tff(477,plain,
% 0.92/0.91 ($false),
% 0.92/0.91 inference(unit_resolution,[status(thm)],[418, 476, 475, 413])).
% 0.92/0.91 tff(478,plain,(((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0))) | (~![Y: $i] : (p203(Y) | (~r1(X!0, Y))))), inference(lemma,lemma(discharge,[]))).
% 0.92/0.91 tff(479,plain,
% 0.92/0.91 ($false),
% 0.92/0.91 inference(unit_resolution,[status(thm)],[478, 473, 459])).
% 0.92/0.91 tff(480,plain,(p202(X!0) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p201(X!0) | p401(X!0) | p402(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p301(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p302(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.92/0.91 tff(481,plain,
% 0.92/0.91 ($false),
% 0.92/0.91 inference(unit_resolution,[status(thm)],[480, 380, 359, 165, 4, 6, 164, 163, 162, 5])).
% 0.92/0.91 tff(482,plain,(![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p401(X!0) | p402(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p301(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p302(X!0) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | p505(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.92/0.91 tff(483,plain,
% 0.92/0.91 (![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 0.92/0.91 inference(unit_resolution,[status(thm)],[482, 163, 4, 6, 164, 165, 162, 5, 166, 3])).
% 0.92/0.91 tff(484,assumption,(![Y: $i] : (p102(Y) | (~r1(X!0, Y)))), introduced(assumption)).
% 0.92/0.91 tff(485,assumption,(~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))), introduced(assumption)).
% 0.92/0.91 tff(486,plain,
% 0.92/0.91 (((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0))) | r1(X!0, tptp_fun_Y_5(X!0))),
% 0.92/0.91 inference(tautology,[status(thm)],[])).
% 0.92/0.91 tff(487,plain,
% 0.92/0.91 (r1(X!0, tptp_fun_Y_5(X!0))),
% 0.92/0.91 inference(unit_resolution,[status(thm)],[486, 485])).
% 0.92/0.91 tff(488,plain,
% 0.92/0.91 (((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0))) | (~p102(tptp_fun_Y_5(X!0)))),
% 0.92/0.91 inference(tautology,[status(thm)],[])).
% 0.92/0.91 tff(489,plain,
% 0.92/0.91 (~p102(tptp_fun_Y_5(X!0))),
% 0.92/0.91 inference(unit_resolution,[status(thm)],[488, 485])).
% 0.92/0.91 tff(490,assumption,(~p102(tptp_fun_Y_5(X!0))), introduced(assumption)).
% 0.92/0.91 tff(491,assumption,(r1(X!0, tptp_fun_Y_5(X!0))), introduced(assumption)).
% 0.92/0.91 tff(492,plain,
% 0.92/0.91 (((~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))) | (p102(tptp_fun_Y_5(X!0)) | (~r1(X!0, tptp_fun_Y_5(X!0))))) <=> ((~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))) | p102(tptp_fun_Y_5(X!0)) | (~r1(X!0, tptp_fun_Y_5(X!0))))),
% 0.92/0.91 inference(rewrite,[status(thm)],[])).
% 0.92/0.91 tff(493,plain,
% 0.92/0.91 ((~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))) | (p102(tptp_fun_Y_5(X!0)) | (~r1(X!0, tptp_fun_Y_5(X!0))))),
% 0.92/0.91 inference(quant_inst,[status(thm)],[])).
% 0.92/0.91 tff(494,plain,
% 0.92/0.91 ((~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))) | p102(tptp_fun_Y_5(X!0)) | (~r1(X!0, tptp_fun_Y_5(X!0)))),
% 0.92/0.91 inference(modus_ponens,[status(thm)],[493, 492])).
% 0.92/0.91 tff(495,plain,
% 0.92/0.91 ($false),
% 0.92/0.91 inference(unit_resolution,[status(thm)],[494, 484, 491, 490])).
% 0.92/0.91 tff(496,plain,((~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))) | (~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0))), inference(lemma,lemma(discharge,[]))).
% 0.92/0.91 tff(497,plain,
% 0.92/0.91 ($false),
% 0.92/0.91 inference(unit_resolution,[status(thm)],[496, 489, 487, 484])).
% 0.92/0.91 tff(498,plain,(((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0))) | (~![Y: $i] : (p102(Y) | (~r1(X!0, Y))))), inference(lemma,lemma(discharge,[]))).
% 0.92/0.91 tff(499,plain,
% 0.92/0.91 ((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0))),
% 0.92/0.91 inference(unit_resolution,[status(thm)],[498, 483])).
% 0.92/0.91 tff(500,plain,
% 0.92/0.91 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))),
% 0.92/0.91 inference(tautology,[status(thm)],[])).
% 0.92/0.91 tff(501,plain,
% 0.92/0.91 (![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))),
% 0.92/0.91 inference(unit_resolution,[status(thm)],[500, 51])).
% 0.92/0.91 tff(502,plain,
% 0.92/0.91 (((~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | ((~r1(X!0, X!0)) | (~p202(X!0)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))))) <=> ((~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~r1(X!0, X!0)) | (~p202(X!0)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))))),
% 0.92/0.91 inference(rewrite,[status(thm)],[])).
% 0.92/0.91 tff(503,plain,
% 0.92/0.91 (((~p202(X!0)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~r1(X!0, X!0))) <=> ((~r1(X!0, X!0)) | (~p202(X!0)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))))),
% 0.92/0.91 inference(rewrite,[status(thm)],[])).
% 0.92/0.91 tff(504,plain,
% 0.92/0.91 ((~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) <=> (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0))))),
% 0.92/0.91 inference(rewrite,[status(thm)],[])).
% 0.92/0.91 tff(505,plain,
% 0.92/0.91 (((~p202(X!0)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~r1(X!0, X!0))) <=> ((~p202(X!0)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~r1(X!0, X!0)))),
% 0.92/0.91 inference(monotonicity,[status(thm)],[504])).
% 0.92/0.91 tff(506,plain,
% 0.92/0.91 (((~p202(X!0)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~r1(X!0, X!0))) <=> ((~r1(X!0, X!0)) | (~p202(X!0)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))))),
% 0.92/0.91 inference(transitivity,[status(thm)],[505, 503])).
% 0.92/0.91 tff(507,plain,
% 0.92/0.91 (((~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | ((~p202(X!0)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~r1(X!0, X!0)))) <=> ((~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | ((~r1(X!0, X!0)) | (~p202(X!0)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0))))))),
% 0.92/0.91 inference(monotonicity,[status(thm)],[506])).
% 0.92/0.91 tff(508,plain,
% 0.92/0.91 (((~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | ((~p202(X!0)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~r1(X!0, X!0)))) <=> ((~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~r1(X!0, X!0)) | (~p202(X!0)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))))),
% 0.92/0.91 inference(transitivity,[status(thm)],[507, 502])).
% 0.92/0.91 tff(509,plain,
% 0.92/0.91 ((~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | ((~p202(X!0)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~r1(X!0, X!0)))),
% 0.92/0.91 inference(quant_inst,[status(thm)],[])).
% 0.92/0.91 tff(510,plain,
% 0.92/0.91 ((~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~r1(X!0, X!0)) | (~p202(X!0)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0))))),
% 0.92/0.91 inference(modus_ponens,[status(thm)],[509, 508])).
% 0.92/0.91 tff(511,plain,
% 0.92/0.91 ((~p202(X!0)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0))))),
% 0.92/0.91 inference(unit_resolution,[status(thm)],[510, 16, 501])).
% 0.92/0.91 tff(512,plain,
% 0.92/0.91 (~p202(X!0)),
% 0.92/0.91 inference(unit_resolution,[status(thm)],[511, 499])).
% 0.92/0.91 tff(513,plain,
% 0.92/0.91 (p201(X!0)),
% 0.92/0.91 inference(unit_resolution,[status(thm)],[480, 512, 165, 4, 6, 164, 163, 162, 5])).
% 0.92/0.91 tff(514,plain,
% 0.92/0.91 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))),
% 0.92/0.91 inference(tautology,[status(thm)],[])).
% 0.92/0.91 tff(515,plain,
% 0.92/0.91 (![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))),
% 0.92/0.91 inference(unit_resolution,[status(thm)],[514, 51])).
% 0.92/0.91 tff(516,plain,
% 0.92/0.91 (((~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | ((~r1(X!0, X!0)) | (~p201(X!0)) | (~p501(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~r1(X!0, X!0)) | (~p201(X!0)) | (~p501(X!0)))),
% 0.92/0.91 inference(rewrite,[status(thm)],[])).
% 0.92/0.91 tff(517,plain,
% 0.92/0.91 (((~r1(X!0, X!0)) | (~p501(X!0)) | (~p201(X!0))) <=> ((~r1(X!0, X!0)) | (~p201(X!0)) | (~p501(X!0)))),
% 0.92/0.91 inference(rewrite,[status(thm)],[])).
% 0.92/0.91 tff(518,plain,
% 0.92/0.91 (((~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | ((~r1(X!0, X!0)) | (~p501(X!0)) | (~p201(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | ((~r1(X!0, X!0)) | (~p201(X!0)) | (~p501(X!0))))),
% 0.92/0.91 inference(monotonicity,[status(thm)],[517])).
% 0.92/0.91 tff(519,plain,
% 0.92/0.91 (((~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | ((~r1(X!0, X!0)) | (~p501(X!0)) | (~p201(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~r1(X!0, X!0)) | (~p201(X!0)) | (~p501(X!0)))),
% 0.92/0.91 inference(transitivity,[status(thm)],[518, 516])).
% 0.92/0.91 tff(520,plain,
% 0.92/0.91 ((~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | ((~r1(X!0, X!0)) | (~p501(X!0)) | (~p201(X!0)))),
% 0.92/0.91 inference(quant_inst,[status(thm)],[])).
% 0.92/0.91 tff(521,plain,
% 0.92/0.91 ((~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~r1(X!0, X!0)) | (~p201(X!0)) | (~p501(X!0))),
% 0.92/0.91 inference(modus_ponens,[status(thm)],[520, 519])).
% 0.92/0.91 tff(522,plain,
% 0.92/0.91 ((~p201(X!0)) | (~p501(X!0))),
% 0.92/0.91 inference(unit_resolution,[status(thm)],[521, 16, 515])).
% 0.92/0.91 tff(523,plain,
% 0.92/0.91 (~p501(X!0)),
% 0.92/0.91 inference(unit_resolution,[status(thm)],[522, 513])).
% 0.92/0.91 tff(524,plain,
% 0.92/0.91 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))),
% 0.92/0.92 inference(tautology,[status(thm)],[])).
% 0.92/0.92 tff(525,plain,
% 0.92/0.92 (![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))),
% 0.92/0.92 inference(unit_resolution,[status(thm)],[524, 51])).
% 0.92/0.92 tff(526,plain,
% 0.92/0.92 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | ((~r1(X!0, X!0)) | (~p502(X!0)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))))) <=> ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | (~r1(X!0, X!0)) | (~p502(X!0)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))))),
% 0.92/0.92 inference(rewrite,[status(thm)],[])).
% 0.92/0.92 tff(527,plain,
% 0.92/0.92 (((~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p502(X!0)) | (~r1(X!0, X!0))) <=> ((~r1(X!0, X!0)) | (~p502(X!0)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))))),
% 0.92/0.92 inference(rewrite,[status(thm)],[])).
% 0.92/0.92 tff(528,plain,
% 0.92/0.92 (((~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p502(X!0)) | (~r1(X!0, X!0))) <=> ((~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p502(X!0)) | (~r1(X!0, X!0)))),
% 0.92/0.92 inference(monotonicity,[status(thm)],[504])).
% 0.92/0.92 tff(529,plain,
% 0.92/0.92 (((~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p502(X!0)) | (~r1(X!0, X!0))) <=> ((~r1(X!0, X!0)) | (~p502(X!0)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))))),
% 0.92/0.92 inference(transitivity,[status(thm)],[528, 527])).
% 0.92/0.92 tff(530,plain,
% 0.92/0.92 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | ((~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p502(X!0)) | (~r1(X!0, X!0)))) <=> ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | ((~r1(X!0, X!0)) | (~p502(X!0)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0))))))),
% 0.92/0.92 inference(monotonicity,[status(thm)],[529])).
% 0.92/0.92 tff(531,plain,
% 0.92/0.92 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | ((~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p502(X!0)) | (~r1(X!0, X!0)))) <=> ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | (~r1(X!0, X!0)) | (~p502(X!0)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))))),
% 0.92/0.92 inference(transitivity,[status(thm)],[530, 526])).
% 0.92/0.92 tff(532,plain,
% 0.92/0.92 ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | ((~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p502(X!0)) | (~r1(X!0, X!0)))),
% 0.92/0.92 inference(quant_inst,[status(thm)],[])).
% 0.92/0.92 tff(533,plain,
% 0.92/0.92 ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | (~r1(X!0, X!0)) | (~p502(X!0)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0))))),
% 0.92/0.92 inference(modus_ponens,[status(thm)],[532, 531])).
% 0.92/0.92 tff(534,plain,
% 0.92/0.92 ((~p502(X!0)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0))))),
% 0.92/0.92 inference(unit_resolution,[status(thm)],[533, 16, 525])).
% 0.92/0.92 tff(535,plain,
% 0.92/0.92 (~p502(X!0)),
% 0.92/0.92 inference(unit_resolution,[status(thm)],[534, 499])).
% 0.92/0.92 tff(536,assumption,(~p501(X!0)), introduced(assumption)).
% 0.92/0.92 tff(537,plain,
% 0.92/0.92 (~p503(X!0)),
% 0.92/0.92 inference(unit_resolution,[status(thm)],[346, 382])).
% 0.92/0.92 tff(538,plain,
% 0.92/0.92 (p504(X!0)),
% 0.92/0.92 inference(unit_resolution,[status(thm)],[301, 537, 3, 238, 536])).
% 0.92/0.92 tff(539,plain,
% 0.92/0.92 (p404(X!0)),
% 0.92/0.92 inference(unit_resolution,[status(thm)],[179, 383, 4, 6, 164])).
% 0.92/0.92 tff(540,plain,
% 0.92/0.92 ($false),
% 0.92/0.92 inference(unit_resolution,[status(thm)],[336, 539, 538])).
% 0.92/0.92 tff(541,plain,((~p303(X!0)) | p401(X!0) | p402(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p505(X!0) | p502(X!0) | p501(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.92/0.92 tff(542,plain,
% 0.92/0.92 (~p303(X!0)),
% 0.92/0.92 inference(unit_resolution,[status(thm)],[541, 535, 6, 164, 3, 4, 523])).
% 0.92/0.92 tff(543,plain,
% 0.92/0.92 (![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.92/0.92 inference(unit_resolution,[status(thm)],[208, 542, 163, 162, 5])).
% 0.92/0.92 tff(544,plain,
% 0.92/0.92 ((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0))),
% 0.92/0.92 inference(unit_resolution,[status(thm)],[202, 543])).
% 0.92/0.92 tff(545,plain,
% 0.92/0.92 (~p504(X!0)),
% 0.92/0.92 inference(unit_resolution,[status(thm)],[299, 544])).
% 0.92/0.92 tff(546,plain,
% 0.92/0.92 (p503(X!0)),
% 0.92/0.92 inference(unit_resolution,[status(thm)],[301, 545, 3, 535, 523])).
% 0.92/0.92 tff(547,plain,
% 0.92/0.92 (~p404(X!0)),
% 0.92/0.92 inference(unit_resolution,[status(thm)],[311, 544])).
% 0.92/0.92 tff(548,plain,
% 0.92/0.92 (p403(X!0)),
% 0.92/0.92 inference(unit_resolution,[status(thm)],[179, 547, 4, 6, 164])).
% 0.92/0.92 tff(549,plain,
% 0.92/0.92 ($false),
% 0.92/0.92 inference(unit_resolution,[status(thm)],[245, 548, 546])).
% 0.92/0.92 tff(550,plain,(p301(X!0) | p401(X!0) | p402(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p505(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p302(X!0) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.92/0.92 tff(551,plain,
% 0.92/0.92 (p301(X!0)),
% 0.92/0.92 inference(unit_resolution,[status(thm)],[550, 73, 6, 4, 161, 154, 5, 131, 102])).
% 0.92/0.92 tff(552,plain,
% 0.92/0.92 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) 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p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))),
% 0.92/0.92 inference(tautology,[status(thm)],[])).
% 0.92/0.92 tff(553,plain,
% 0.92/0.92 (![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))),
% 0.92/0.92 inference(unit_resolution,[status(thm)],[552, 51])).
% 0.92/0.92 tff(554,plain,
% 0.92/0.92 (((~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | ((~r1(X!0, X!0)) | (~p101(X!0)) | (~p301(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~r1(X!0, X!0)) | (~p101(X!0)) | (~p301(X!0)))),
% 0.92/0.92 inference(rewrite,[status(thm)],[])).
% 0.92/0.92 tff(555,plain,
% 0.92/0.92 (((~r1(X!0, X!0)) | (~p301(X!0)) | (~p101(X!0))) <=> ((~r1(X!0, X!0)) | (~p101(X!0)) | (~p301(X!0)))),
% 0.92/0.92 inference(rewrite,[status(thm)],[])).
% 0.92/0.92 tff(556,plain,
% 0.92/0.92 (((~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | ((~r1(X!0, X!0)) | (~p301(X!0)) | (~p101(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | ((~r1(X!0, X!0)) | (~p101(X!0)) | (~p301(X!0))))),
% 0.92/0.92 inference(monotonicity,[status(thm)],[555])).
% 0.92/0.92 tff(557,plain,
% 0.92/0.92 (((~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | ((~r1(X!0, X!0)) | (~p301(X!0)) | (~p101(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~r1(X!0, X!0)) | (~p101(X!0)) | (~p301(X!0)))),
% 0.92/0.92 inference(transitivity,[status(thm)],[556, 554])).
% 0.92/0.92 tff(558,plain,
% 0.92/0.92 ((~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | ((~r1(X!0, X!0)) | (~p301(X!0)) | (~p101(X!0)))),
% 0.92/0.92 inference(quant_inst,[status(thm)],[])).
% 0.92/0.92 tff(559,plain,
% 0.92/0.92 ((~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~r1(X!0, X!0)) | (~p101(X!0)) | (~p301(X!0))),
% 0.92/0.92 inference(modus_ponens,[status(thm)],[558, 557])).
% 0.92/0.92 tff(560,plain,
% 0.92/0.92 ((~p101(X!0)) | (~p301(X!0))),
% 0.92/0.92 inference(unit_resolution,[status(thm)],[559, 16, 553])).
% 0.92/0.92 tff(561,plain,
% 0.92/0.92 (~p101(X!0)),
% 0.92/0.92 inference(unit_resolution,[status(thm)],[560, 551])).
% 0.92/0.92 tff(562,plain,
% 0.92/0.92 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) 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| (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))),
% 0.92/0.92 inference(tautology,[status(thm)],[])).
% 0.92/0.92 tff(563,plain,
% 0.92/0.92 (![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))),
% 0.92/0.92 inference(unit_resolution,[status(thm)],[562, 51])).
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% 0.92/0.92 inference(rewrite,[status(thm)],[])).
% 0.92/0.92 tff(565,plain,
% 0.92/0.92 ((~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | ((~r1(X!0, X!0)) | (~p301(X!0)) | (~p201(X!0)))),
% 0.92/0.92 inference(quant_inst,[status(thm)],[])).
% 0.92/0.92 tff(566,plain,
% 0.92/0.92 ((~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~r1(X!0, X!0)) | (~p301(X!0)) | (~p201(X!0))),
% 0.92/0.92 inference(modus_ponens,[status(thm)],[565, 564])).
% 0.92/0.92 tff(567,plain,
% 0.92/0.92 ((~p301(X!0)) | (~p201(X!0))),
% 0.92/0.92 inference(unit_resolution,[status(thm)],[566, 16, 563])).
% 0.92/0.92 tff(568,plain,
% 0.92/0.92 (~p201(X!0)),
% 0.92/0.92 inference(unit_resolution,[status(thm)],[567, 551])).
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p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))),
% 0.92/0.93 inference(tautology,[status(thm)],[])).
% 0.92/0.93 tff(570,plain,
% 0.92/0.93 (![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))),
% 0.92/0.93 inference(unit_resolution,[status(thm)],[569, 51])).
% 0.92/0.93 tff(571,plain,
% 0.92/0.93 (((~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | ((~r1(X!0, X!0)) | (~p301(X!0)) | (~p501(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~r1(X!0, X!0)) | (~p301(X!0)) | (~p501(X!0)))),
% 0.92/0.93 inference(rewrite,[status(thm)],[])).
% 0.92/0.93 tff(572,plain,
% 0.92/0.93 (((~r1(X!0, X!0)) | (~p501(X!0)) | (~p301(X!0))) <=> ((~r1(X!0, X!0)) | (~p301(X!0)) | (~p501(X!0)))),
% 0.92/0.93 inference(rewrite,[status(thm)],[])).
% 0.92/0.93 tff(573,plain,
% 0.92/0.93 (((~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | ((~r1(X!0, X!0)) | (~p501(X!0)) | (~p301(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | ((~r1(X!0, X!0)) | (~p301(X!0)) | (~p501(X!0))))),
% 0.92/0.93 inference(monotonicity,[status(thm)],[572])).
% 0.92/0.93 tff(574,plain,
% 0.92/0.93 (((~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | ((~r1(X!0, X!0)) | (~p501(X!0)) | (~p301(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~r1(X!0, X!0)) | (~p301(X!0)) | (~p501(X!0)))),
% 0.92/0.93 inference(transitivity,[status(thm)],[573, 571])).
% 0.92/0.93 tff(575,plain,
% 0.92/0.93 ((~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | ((~r1(X!0, X!0)) | (~p501(X!0)) | (~p301(X!0)))),
% 0.92/0.93 inference(quant_inst,[status(thm)],[])).
% 0.92/0.93 tff(576,plain,
% 0.92/0.93 ((~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~r1(X!0, X!0)) | (~p301(X!0)) | (~p501(X!0))),
% 0.92/0.93 inference(modus_ponens,[status(thm)],[575, 574])).
% 0.92/0.93 tff(577,plain,
% 0.92/0.93 ((~p301(X!0)) | (~p501(X!0))),
% 0.92/0.93 inference(unit_resolution,[status(thm)],[576, 16, 570])).
% 0.92/0.93 tff(578,plain,
% 0.92/0.93 (~p501(X!0)),
% 0.92/0.93 inference(unit_resolution,[status(thm)],[577, 551])).
% 0.92/0.93 tff(579,assumption,(~p101(X!0)), introduced(assumption)).
% 0.92/0.93 tff(580,assumption,((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0))), introduced(assumption)).
% 0.92/0.93 tff(581,plain,
% 0.92/0.93 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))),
% 0.92/0.93 inference(tautology,[status(thm)],[])).
% 0.92/0.93 tff(582,plain,
% 0.92/0.93 (![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))),
% 0.92/0.93 inference(unit_resolution,[status(thm)],[581, 51])).
% 0.92/0.93 tff(583,plain,
% 0.92/0.93 (((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))))),
% 0.92/0.93 inference(rewrite,[status(thm)],[])).
% 0.92/0.93 tff(584,plain,
% 0.92/0.93 ((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))))),
% 0.92/0.93 inference(quant_inst,[status(thm)],[])).
% 0.92/0.93 tff(585,plain,
% 0.92/0.93 ((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0))))),
% 0.92/0.93 inference(modus_ponens,[status(thm)],[584, 583])).
% 0.92/0.93 tff(586,plain,
% 0.92/0.93 ((~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0))))),
% 0.92/0.93 inference(unit_resolution,[status(thm)],[585, 16, 582])).
% 0.92/0.93 tff(587,plain,
% 0.92/0.93 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 0.92/0.93 inference(unit_resolution,[status(thm)],[586, 580])).
% 0.92/0.93 tff(588,plain,
% 0.92/0.93 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.92/0.93 inference(unit_resolution,[status(thm)],[275, 587])).
% 0.92/0.93 tff(589,plain,
% 0.92/0.93 (![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.92/0.93 inference(unit_resolution,[status(thm)],[279, 588, 579, 1, 166])).
% 0.92/0.93 tff(590,plain,
% 0.92/0.93 (~p403(X!0)),
% 0.92/0.93 inference(unit_resolution,[status(thm)],[472, 580])).
% 0.92/0.93 tff(591,plain,
% 0.92/0.93 (p404(X!0)),
% 0.92/0.93 inference(unit_resolution,[status(thm)],[179, 590, 4, 6, 164])).
% 0.92/0.93 tff(592,plain,
% 0.92/0.93 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 0.92/0.93 inference(unit_resolution,[status(thm)],[173, 591])).
% 0.92/0.93 tff(593,plain,
% 0.92/0.93 ($false),
% 0.92/0.93 inference(unit_resolution,[status(thm)],[236, 592, 589])).
% 0.92/0.93 tff(594,plain,((~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | p101(X!0) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | p401(X!0) | p402(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.92/0.93 tff(595,plain,
% 0.92/0.93 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 0.92/0.93 inference(unit_resolution,[status(thm)],[594, 1, 579, 166, 4, 6, 164])).
% 0.92/0.93 tff(596,plain,
% 0.92/0.93 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.92/0.93 inference(unit_resolution,[status(thm)],[478, 595])).
% 0.92/0.93 tff(597,plain,
% 0.92/0.93 (![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.92/0.93 inference(unit_resolution,[status(thm)],[279, 276, 579, 1, 166])).
% 0.92/0.93 tff(598,plain,
% 0.92/0.93 ((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0))),
% 0.92/0.93 inference(unit_resolution,[status(thm)],[236, 597])).
% 0.92/0.93 tff(599,plain,
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| (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))),
% 0.92/0.93 inference(tautology,[status(thm)],[])).
% 0.92/0.93 tff(600,plain,
% 0.92/0.93 (![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))),
% 0.92/0.93 inference(unit_resolution,[status(thm)],[599, 51])).
% 0.92/0.93 tff(601,plain,
% 0.92/0.93 (((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))) | (~p504(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))) | (~p504(X!0)))),
% 0.92/0.93 inference(rewrite,[status(thm)],[])).
% 0.92/0.93 tff(602,plain,
% 0.92/0.93 ((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))) | (~p504(X!0)))),
% 0.92/0.93 inference(quant_inst,[status(thm)],[])).
% 0.92/0.93 tff(603,plain,
% 0.92/0.93 ((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))) | (~p504(X!0))),
% 0.92/0.93 inference(modus_ponens,[status(thm)],[602, 601])).
% 0.92/0.93 tff(604,plain,
% 0.92/0.93 ((~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))) | (~p504(X!0))),
% 0.92/0.93 inference(unit_resolution,[status(thm)],[603, 16, 600])).
% 0.92/0.93 tff(605,plain,
% 0.92/0.93 (~p504(X!0)),
% 0.92/0.93 inference(unit_resolution,[status(thm)],[604, 598])).
% 0.92/0.93 tff(606,plain,
% 0.92/0.93 (p502(X!0)),
% 0.92/0.93 inference(unit_resolution,[status(thm)],[301, 605, 3, 246, 536])).
% 0.92/0.93 tff(607,assumption,(~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))), introduced(assumption)).
% 0.92/0.93 tff(608,plain,
% 0.92/0.93 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))),
% 0.96/0.93 inference(tautology,[status(thm)],[])).
% 0.96/0.93 tff(609,plain,
% 0.96/0.93 (![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))),
% 0.96/0.93 inference(unit_resolution,[status(thm)],[608, 51])).
% 0.96/0.93 tff(610,plain,
% 0.96/0.93 (((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))))),
% 0.96/0.93 inference(rewrite,[status(thm)],[])).
% 0.96/0.93 tff(611,plain,
% 0.96/0.93 ((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))))),
% 0.96/0.93 inference(quant_inst,[status(thm)],[])).
% 0.96/0.93 tff(612,plain,
% 0.96/0.93 ((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0))))),
% 0.96/0.93 inference(modus_ponens,[status(thm)],[611, 610])).
% 0.96/0.93 tff(613,plain,
% 0.96/0.93 ((~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0))))),
% 0.96/0.93 inference(unit_resolution,[status(thm)],[612, 16, 609])).
% 0.96/0.93 tff(614,plain,
% 0.96/0.93 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 0.96/0.93 inference(unit_resolution,[status(thm)],[613, 598])).
% 0.96/0.93 tff(615,plain,
% 0.96/0.93 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.96/0.93 inference(unit_resolution,[status(thm)],[457, 614])).
% 0.96/0.93 tff(616,plain,
% 0.96/0.93 (p202(X!0)),
% 0.96/0.93 inference(unit_resolution,[status(thm)],[422, 615, 165, 381, 607])).
% 0.96/0.93 tff(617,plain,
% 0.96/0.93 ($false),
% 0.96/0.93 inference(unit_resolution,[status(thm)],[358, 616, 606])).
% 0.96/0.93 tff(618,plain,((~p403(X!0)) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p201(X!0) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | p505(X!0) | p501(X!0) | p101(X!0) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.96/0.93 tff(619,plain,
% 0.96/0.93 (~p403(X!0)),
% 0.96/0.93 inference(unit_resolution,[status(thm)],[618, 596, 381, 165, 3, 536, 579, 1, 166])).
% 0.96/0.93 tff(620,plain,
% 0.96/0.93 (p404(X!0)),
% 0.96/0.93 inference(unit_resolution,[status(thm)],[179, 619, 4, 6, 164])).
% 0.96/0.93 tff(621,plain,
% 0.96/0.93 (~p504(X!0)),
% 0.96/0.93 inference(unit_resolution,[status(thm)],[336, 620])).
% 0.96/0.93 tff(622,plain,
% 0.96/0.93 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 0.96/0.93 inference(unit_resolution,[status(thm)],[390, 620])).
% 0.96/0.93 tff(623,plain,
% 0.96/0.93 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.96/0.93 inference(unit_resolution,[status(thm)],[457, 622])).
% 0.96/0.93 tff(624,plain,
% 0.96/0.93 (p202(X!0)),
% 0.96/0.93 inference(unit_resolution,[status(thm)],[422, 623, 165, 381, 596])).
% 0.96/0.93 tff(625,plain,
% 0.96/0.93 (~p502(X!0)),
% 0.96/0.93 inference(unit_resolution,[status(thm)],[358, 624])).
% 0.96/0.93 tff(626,plain,
% 0.96/0.93 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 0.96/0.93 inference(unit_resolution,[status(thm)],[173, 620])).
% 0.96/0.93 tff(627,plain,
% 0.96/0.93 (~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.96/0.93 inference(unit_resolution,[status(thm)],[236, 626])).
% 0.96/0.93 tff(628,plain,
% 0.96/0.93 (![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.96/0.93 inference(unit_resolution,[status(thm)],[279, 627, 579, 1, 166])).
% 0.96/0.93 tff(629,plain,
% 0.96/0.93 ((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0))),
% 0.96/0.93 inference(unit_resolution,[status(thm)],[275, 628])).
% 0.96/0.93 tff(630,plain,
% 0.96/0.93 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))),
% 0.96/0.94 inference(tautology,[status(thm)],[])).
% 0.96/0.94 tff(631,plain,
% 0.96/0.94 (![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))),
% 0.96/0.94 inference(unit_resolution,[status(thm)],[630, 51])).
% 0.96/0.94 tff(632,plain,
% 0.96/0.94 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~p503(X!0)))) <=> ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~p503(X!0)))),
% 0.96/0.94 inference(rewrite,[status(thm)],[])).
% 0.96/0.94 tff(633,plain,
% 0.96/0.94 (((~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~r1(X!0, X!0)) | (~p503(X!0))) <=> ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~p503(X!0)))),
% 0.96/0.94 inference(rewrite,[status(thm)],[])).
% 0.96/0.94 tff(634,plain,
% 0.96/0.94 (((~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~r1(X!0, X!0)) | (~p503(X!0))) <=> ((~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~r1(X!0, X!0)) | (~p503(X!0)))),
% 0.96/0.94 inference(monotonicity,[status(thm)],[252])).
% 0.96/0.94 tff(635,plain,
% 0.96/0.94 (((~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~r1(X!0, X!0)) | (~p503(X!0))) <=> ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~p503(X!0)))),
% 0.96/0.94 inference(transitivity,[status(thm)],[634, 633])).
% 0.96/0.94 tff(636,plain,
% 0.96/0.94 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | ((~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~r1(X!0, X!0)) | (~p503(X!0)))) <=> ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~p503(X!0))))),
% 0.96/0.94 inference(monotonicity,[status(thm)],[635])).
% 0.96/0.94 tff(637,plain,
% 0.96/0.94 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | ((~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~r1(X!0, X!0)) | (~p503(X!0)))) <=> ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~p503(X!0)))),
% 0.96/0.94 inference(transitivity,[status(thm)],[636, 632])).
% 0.96/0.94 tff(638,plain,
% 0.96/0.94 ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | ((~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~r1(X!0, X!0)) | (~p503(X!0)))),
% 0.96/0.94 inference(quant_inst,[status(thm)],[])).
% 0.96/0.94 tff(639,plain,
% 0.96/0.94 ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~p503(X!0))),
% 0.96/0.94 inference(modus_ponens,[status(thm)],[638, 637])).
% 0.96/0.94 tff(640,plain,
% 0.96/0.94 ((~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~p503(X!0))),
% 0.96/0.94 inference(unit_resolution,[status(thm)],[639, 16, 631])).
% 0.96/0.94 tff(641,plain,
% 0.96/0.94 (~p503(X!0)),
% 0.96/0.94 inference(unit_resolution,[status(thm)],[640, 629])).
% 0.96/0.94 tff(642,plain,
% 0.96/0.94 ($false),
% 0.96/0.94 inference(unit_resolution,[status(thm)],[301, 641, 625, 3, 621, 536])).
% 0.96/0.94 tff(643,plain,(![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | p505(X!0) | p501(X!0) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p201(X!0) | p101(X!0) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | p401(X!0) | p402(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.96/0.94 tff(644,plain,
% 0.96/0.94 (![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 0.96/0.94 inference(unit_resolution,[status(thm)],[643, 161, 578, 131, 568, 561, 102, 4, 6, 73])).
% 0.96/0.94 tff(645,plain,
% 0.96/0.94 ((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0))),
% 0.96/0.94 inference(unit_resolution,[status(thm)],[498, 644])).
% 0.96/0.94 tff(646,plain,
% 0.96/0.94 (~p202(X!0)),
% 0.96/0.94 inference(unit_resolution,[status(thm)],[511, 645])).
% 0.96/0.94 tff(647,plain,
% 0.96/0.94 (~p502(X!0)),
% 0.96/0.94 inference(unit_resolution,[status(thm)],[534, 645])).
% 0.96/0.94 tff(648,plain,
% 0.96/0.94 (p504(X!0)),
% 0.96/0.94 inference(unit_resolution,[status(thm)],[301, 246, 3, 238, 536])).
% 0.96/0.94 tff(649,plain,
% 0.96/0.94 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) 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p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))),
% 0.96/0.94 inference(tautology,[status(thm)],[])).
% 0.96/0.94 tff(650,plain,
% 0.96/0.94 (![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))),
% 0.96/0.94 inference(unit_resolution,[status(thm)],[649, 51])).
% 0.96/0.94 tff(651,plain,
% 0.96/0.94 (((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))) | (~p504(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))) | (~p504(X!0)))),
% 0.96/0.94 inference(rewrite,[status(thm)],[])).
% 0.96/0.94 tff(652,plain,
% 0.96/0.94 ((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))) | (~p504(X!0)))),
% 0.96/0.94 inference(quant_inst,[status(thm)],[])).
% 0.96/0.94 tff(653,plain,
% 0.96/0.94 ((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))) | (~p504(X!0))),
% 0.96/0.94 inference(modus_ponens,[status(thm)],[652, 651])).
% 0.96/0.94 tff(654,plain,
% 0.96/0.94 ((~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))) | (~p504(X!0))),
% 0.96/0.94 inference(unit_resolution,[status(thm)],[653, 16, 650])).
% 0.96/0.94 tff(655,plain,
% 0.96/0.94 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 0.96/0.94 inference(unit_resolution,[status(thm)],[654, 648])).
% 0.96/0.94 tff(656,plain,
% 0.96/0.94 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 0.96/0.94 inference(unit_resolution,[status(thm)],[472, 239])).
% 0.96/0.94 tff(657,plain,
% 0.96/0.94 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.96/0.94 inference(unit_resolution,[status(thm)],[478, 656])).
% 0.96/0.94 tff(658,plain,
% 0.96/0.94 (![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.96/0.94 inference(unit_resolution,[status(thm)],[422, 657, 165, 381, 2])).
% 0.96/0.94 tff(659,plain,
% 0.96/0.94 ($false),
% 0.96/0.94 inference(unit_resolution,[status(thm)],[457, 658, 655])).
% 0.96/0.94 tff(660,plain,((~p403(X!0)) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p201(X!0) | p202(X!0) | p505(X!0) | p502(X!0) | p501(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.96/0.94 tff(661,plain,
% 0.96/0.94 (~p403(X!0)),
% 0.96/0.94 inference(unit_resolution,[status(thm)],[660, 131, 568, 646, 161, 647, 578])).
% 0.96/0.94 tff(662,plain,
% 0.96/0.94 (p404(X!0)),
% 0.96/0.94 inference(unit_resolution,[status(thm)],[179, 661, 4, 6, 73])).
% 0.96/0.94 tff(663,plain,
% 0.96/0.94 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 0.96/0.94 inference(unit_resolution,[status(thm)],[390, 662])).
% 0.96/0.94 tff(664,plain,
% 0.96/0.94 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.96/0.94 inference(unit_resolution,[status(thm)],[457, 663])).
% 0.96/0.94 tff(665,plain,
% 0.96/0.94 (![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.96/0.94 inference(unit_resolution,[status(thm)],[422, 664, 131, 568, 646])).
% 0.96/0.94 tff(666,plain,
% 0.96/0.94 (~p504(X!0)),
% 0.96/0.94 inference(unit_resolution,[status(thm)],[336, 662])).
% 0.96/0.94 tff(667,plain,
% 0.96/0.94 (p503(X!0)),
% 0.96/0.94 inference(unit_resolution,[status(thm)],[301, 666, 161, 647, 578])).
% 0.96/0.94 tff(668,plain,
% 0.96/0.94 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))),
% 0.96/0.94 inference(tautology,[status(thm)],[])).
% 0.96/0.94 tff(669,plain,
% 0.96/0.94 (![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))),
% 0.96/0.94 inference(unit_resolution,[status(thm)],[668, 51])).
% 0.96/0.94 tff(670,plain,
% 0.96/0.94 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~p503(X!0)))) <=> ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~p503(X!0)))),
% 0.96/0.94 inference(rewrite,[status(thm)],[])).
% 0.96/0.94 tff(671,plain,
% 0.96/0.94 (((~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~r1(X!0, X!0)) | (~p503(X!0))) <=> ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~p503(X!0)))),
% 0.96/0.94 inference(rewrite,[status(thm)],[])).
% 0.96/0.94 tff(672,plain,
% 0.96/0.94 (((~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~r1(X!0, X!0)) | (~p503(X!0))) <=> ((~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~r1(X!0, X!0)) | (~p503(X!0)))),
% 0.96/0.94 inference(monotonicity,[status(thm)],[398])).
% 0.96/0.94 tff(673,plain,
% 0.96/0.94 (((~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~r1(X!0, X!0)) | (~p503(X!0))) <=> ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~p503(X!0)))),
% 0.96/0.94 inference(transitivity,[status(thm)],[672, 671])).
% 0.96/0.94 tff(674,plain,
% 0.96/0.94 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | ((~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~r1(X!0, X!0)) | (~p503(X!0)))) <=> ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~p503(X!0))))),
% 0.96/0.94 inference(monotonicity,[status(thm)],[673])).
% 0.96/0.94 tff(675,plain,
% 0.96/0.94 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | ((~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~r1(X!0, X!0)) | (~p503(X!0)))) <=> ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~p503(X!0)))),
% 0.96/0.94 inference(transitivity,[status(thm)],[674, 670])).
% 0.96/0.94 tff(676,plain,
% 0.96/0.94 ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | ((~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~r1(X!0, X!0)) | (~p503(X!0)))),
% 0.96/0.94 inference(quant_inst,[status(thm)],[])).
% 0.96/0.94 tff(677,plain,
% 0.96/0.94 ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~p503(X!0))),
% 0.96/0.94 inference(modus_ponens,[status(thm)],[676, 675])).
% 0.96/0.94 tff(678,plain,
% 0.96/0.94 ((~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~p503(X!0))),
% 0.96/0.94 inference(unit_resolution,[status(thm)],[677, 16, 669])).
% 0.96/0.94 tff(679,plain,
% 0.96/0.94 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 0.96/0.94 inference(unit_resolution,[status(thm)],[678, 667])).
% 0.96/0.94 tff(680,plain,
% 0.96/0.94 ($false),
% 0.96/0.94 inference(unit_resolution,[status(thm)],[478, 679, 665])).
% 0.96/0.94 tff(681,plain,((~p605(X!0)) | p401(X!0) | p402(X!0) | p302(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.96/0.94 tff(682,plain,
% 0.96/0.94 (~p605(X!0)),
% 0.96/0.94 inference(unit_resolution,[status(thm)],[681, 6, 4, 5])).
% 0.96/0.94 tff(683,assumption,(~p605(X!0)), introduced(assumption)).
% 0.96/0.94 tff(684,assumption,(~p601(X!0)), introduced(assumption)).
% 0.96/0.94 tff(685,assumption,(~p602(X!0)), introduced(assumption)).
% 0.96/0.94 tff(686,assumption,((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0))), introduced(assumption)).
% 0.96/0.94 tff(687,plain,
% 0.96/0.94 (~p202(X!0)),
% 0.96/0.94 inference(unit_resolution,[status(thm)],[511, 686])).
% 0.96/0.94 tff(688,plain,
% 0.96/0.94 (~p502(X!0)),
% 0.96/0.94 inference(unit_resolution,[status(thm)],[534, 686])).
% 0.96/0.94 tff(689,plain,
% 0.96/0.94 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, 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p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))),
% 0.96/0.95 inference(tautology,[status(thm)],[])).
% 0.96/0.95 tff(690,plain,
% 0.96/0.95 (![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))),
% 0.96/0.95 inference(unit_resolution,[status(thm)],[689, 51])).
% 0.96/0.95 tff(691,plain,
% 0.96/0.95 (((~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | ((~r1(X!0, X!0)) | (~p603(X!0)) | (~p303(X!0)))) <=> ((~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~r1(X!0, X!0)) | (~p603(X!0)) | (~p303(X!0)))),
% 0.96/0.95 inference(rewrite,[status(thm)],[])).
% 0.96/0.95 tff(692,plain,
% 0.96/0.95 (((~p303(X!0)) | (~r1(X!0, X!0)) | (~p603(X!0))) <=> ((~r1(X!0, X!0)) | (~p603(X!0)) | (~p303(X!0)))),
% 0.96/0.95 inference(rewrite,[status(thm)],[])).
% 0.96/0.95 tff(693,plain,
% 0.96/0.95 (((~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | ((~p303(X!0)) | (~r1(X!0, X!0)) | (~p603(X!0)))) <=> ((~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | ((~r1(X!0, X!0)) | (~p603(X!0)) | (~p303(X!0))))),
% 0.96/0.95 inference(monotonicity,[status(thm)],[692])).
% 0.96/0.95 tff(694,plain,
% 0.96/0.95 (((~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | ((~p303(X!0)) | (~r1(X!0, X!0)) | (~p603(X!0)))) <=> ((~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~r1(X!0, X!0)) | (~p603(X!0)) | (~p303(X!0)))),
% 0.96/0.95 inference(transitivity,[status(thm)],[693, 691])).
% 0.96/0.95 tff(695,plain,
% 0.96/0.95 ((~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | ((~p303(X!0)) | (~r1(X!0, X!0)) | (~p603(X!0)))),
% 0.96/0.95 inference(quant_inst,[status(thm)],[])).
% 0.96/0.95 tff(696,plain,
% 0.96/0.95 ((~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~r1(X!0, X!0)) | (~p603(X!0)) | (~p303(X!0))),
% 0.96/0.95 inference(modus_ponens,[status(thm)],[695, 694])).
% 0.96/0.95 tff(697,plain,
% 0.96/0.95 ((~p603(X!0)) | (~p303(X!0))),
% 0.96/0.95 inference(unit_resolution,[status(thm)],[696, 16, 690])).
% 0.96/0.95 tff(698,plain,
% 0.96/0.95 (~p603(X!0)),
% 0.96/0.95 inference(unit_resolution,[status(thm)],[697, 382])).
% 0.96/0.95 tff(699,plain,
% 0.96/0.95 (p605(X!0) | p604(X!0) | p602(X!0) | p603(X!0) | p601(X!0)),
% 0.96/0.95 inference(and_elim,[status(thm)],[40])).
% 0.96/0.95 tff(700,plain,
% 0.96/0.95 (p604(X!0)),
% 0.96/0.95 inference(unit_resolution,[status(thm)],[699, 698, 683, 685, 684])).
% 0.96/0.95 tff(701,plain,
% 0.96/0.95 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) 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| (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))),
% 0.96/0.95 inference(tautology,[status(thm)],[])).
% 0.96/0.95 tff(702,plain,
% 0.96/0.95 (![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))),
% 0.96/0.95 inference(unit_resolution,[status(thm)],[701, 51])).
% 0.96/0.95 tff(703,plain,
% 0.96/0.95 (((~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | ((~r1(X!0, X!0)) | (~p504(X!0)) | (~p604(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | (~r1(X!0, X!0)) | (~p504(X!0)) | (~p604(X!0)))),
% 0.96/0.95 inference(rewrite,[status(thm)],[])).
% 0.96/0.95 tff(704,plain,
% 0.96/0.95 ((~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | ((~r1(X!0, X!0)) | (~p504(X!0)) | (~p604(X!0)))),
% 0.96/0.95 inference(quant_inst,[status(thm)],[])).
% 0.96/0.95 tff(705,plain,
% 0.96/0.95 ((~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | (~r1(X!0, X!0)) | (~p504(X!0)) | (~p604(X!0))),
% 0.96/0.95 inference(modus_ponens,[status(thm)],[704, 703])).
% 0.96/0.95 tff(706,plain,
% 0.96/0.95 ((~p504(X!0)) | (~p604(X!0))),
% 0.96/0.95 inference(unit_resolution,[status(thm)],[705, 16, 702])).
% 0.96/0.95 tff(707,plain,
% 0.96/0.95 (~p504(X!0)),
% 0.96/0.95 inference(unit_resolution,[status(thm)],[706, 700])).
% 0.96/0.95 tff(708,plain,
% 0.96/0.95 (p505(X!0)),
% 0.96/0.95 inference(unit_resolution,[status(thm)],[301, 707, 238, 536, 537])).
% 0.96/0.95 tff(709,plain,
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p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))),
% 0.96/0.95 inference(tautology,[status(thm)],[])).
% 0.96/0.95 tff(710,plain,
% 0.96/0.95 (![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))),
% 0.96/0.95 inference(unit_resolution,[status(thm)],[709, 51])).
% 0.96/0.95 tff(711,plain,
% 0.96/0.95 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | ((~r1(X!0, X!0)) | (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))) | (~p505(X!0)))) <=> ((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~r1(X!0, X!0)) | (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))) | (~p505(X!0)))),
% 0.96/0.95 inference(rewrite,[status(thm)],[])).
% 0.96/0.95 tff(712,plain,
% 0.96/0.95 (((~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))) | (~p505(X!0)) | (~r1(X!0, X!0))) <=> ((~r1(X!0, X!0)) | (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))) | (~p505(X!0)))),
% 0.96/0.95 inference(rewrite,[status(thm)],[])).
% 0.96/0.95 tff(713,plain,
% 0.96/0.95 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | ((~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))) | (~p505(X!0)) | (~r1(X!0, X!0)))) <=> ((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | ((~r1(X!0, X!0)) | (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))) | (~p505(X!0))))),
% 0.96/0.95 inference(monotonicity,[status(thm)],[712])).
% 0.96/0.95 tff(714,plain,
% 0.96/0.95 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | ((~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))) | (~p505(X!0)) | (~r1(X!0, X!0)))) <=> ((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~r1(X!0, X!0)) | (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))) | (~p505(X!0)))),
% 0.96/0.95 inference(transitivity,[status(thm)],[713, 711])).
% 0.96/0.95 tff(715,plain,
% 0.96/0.95 ((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | ((~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))) | (~p505(X!0)) | (~r1(X!0, X!0)))),
% 0.96/0.95 inference(quant_inst,[status(thm)],[])).
% 0.96/0.95 tff(716,plain,
% 0.96/0.95 ((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~r1(X!0, X!0)) | (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))) | (~p505(X!0))),
% 0.96/0.95 inference(modus_ponens,[status(thm)],[715, 714])).
% 0.96/0.95 tff(717,plain,
% 0.96/0.95 ((~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))) | (~p505(X!0))),
% 0.96/0.95 inference(unit_resolution,[status(thm)],[716, 16, 710])).
% 0.96/0.95 tff(718,plain,
% 0.96/0.95 (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))),
% 0.96/0.95 inference(unit_resolution,[status(thm)],[717, 708])).
% 0.96/0.95 tff(719,plain,
% 0.96/0.95 (r1(X!0, tptp_fun_Y_1(X!0))),
% 0.96/0.95 inference(unit_resolution,[status(thm)],[63, 718])).
% 0.96/0.95 tff(720,plain,
% 0.96/0.95 (~p405(tptp_fun_Y_1(X!0))),
% 0.96/0.95 inference(unit_resolution,[status(thm)],[65, 718])).
% 0.96/0.95 tff(721,plain,
% 0.96/0.95 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | 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% 0.96/0.95 inference(tautology,[status(thm)],[])).
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% 0.96/0.95 (![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))),
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% 0.96/0.95 inference(rewrite,[status(thm)],[])).
% 0.96/0.95 tff(724,plain,
% 0.96/0.95 ((~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | ((~r1(X!0, X!0)) | (~p404(X!0)) | (~p604(X!0)))),
% 0.96/0.95 inference(quant_inst,[status(thm)],[])).
% 0.96/0.95 tff(725,plain,
% 0.96/0.95 ((~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~r1(X!0, X!0)) | (~p404(X!0)) | (~p604(X!0))),
% 0.96/0.95 inference(modus_ponens,[status(thm)],[724, 723])).
% 0.96/0.95 tff(726,plain,
% 0.96/0.95 ((~p404(X!0)) | (~p604(X!0))),
% 0.96/0.95 inference(unit_resolution,[status(thm)],[725, 16, 722])).
% 0.96/0.95 tff(727,plain,
% 0.96/0.95 (~p404(X!0)),
% 0.96/0.95 inference(unit_resolution,[status(thm)],[726, 700])).
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% 0.96/0.95 (![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.96/0.95 inference(unit_resolution,[status(thm)],[179, 727, 4, 6, 383])).
% 0.96/0.95 tff(729,plain,
% 0.96/0.95 ($false),
% 0.96/0.95 inference(unit_resolution,[status(thm)],[70, 728, 720, 719])).
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% 0.96/0.95 tff(731,plain,
% 0.96/0.95 (~p303(X!0)),
% 0.96/0.95 inference(unit_resolution,[status(thm)],[730, 6, 4, 238, 536, 683, 685, 684])).
% 0.96/0.95 tff(732,assumption,(p604(X!0)), introduced(assumption)).
% 0.96/0.95 tff(733,plain,
% 0.96/0.95 (~p504(X!0)),
% 0.96/0.95 inference(unit_resolution,[status(thm)],[706, 732])).
% 0.96/0.95 tff(734,plain,
% 0.96/0.95 (p503(X!0)),
% 0.96/0.95 inference(unit_resolution,[status(thm)],[301, 733, 238, 536, 3])).
% 0.96/0.96 tff(735,plain,
% 0.96/0.96 (~p404(X!0)),
% 0.96/0.96 inference(unit_resolution,[status(thm)],[726, 732])).
% 0.96/0.96 tff(736,plain,
% 0.96/0.96 (p403(X!0)),
% 0.96/0.96 inference(unit_resolution,[status(thm)],[179, 735, 4, 6, 164])).
% 0.96/0.96 tff(737,plain,
% 0.96/0.96 ($false),
% 0.96/0.96 inference(unit_resolution,[status(thm)],[245, 736, 734])).
% 0.96/0.96 tff(738,plain,((~p604(X!0)) | p401(X!0) | p402(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p502(X!0) | p501(X!0) | p505(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.96/0.96 tff(739,plain,
% 0.96/0.96 (~p604(X!0)),
% 0.96/0.96 inference(unit_resolution,[status(thm)],[738, 3, 6, 164, 238, 536, 4])).
% 0.96/0.96 tff(740,plain,
% 0.96/0.96 (p603(X!0)),
% 0.96/0.96 inference(unit_resolution,[status(thm)],[699, 739, 683, 685, 684])).
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| (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))),
% 0.96/0.96 inference(tautology,[status(thm)],[])).
% 0.96/0.96 tff(742,plain,
% 0.96/0.96 (![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))),
% 0.96/0.96 inference(unit_resolution,[status(thm)],[741, 51])).
% 0.96/0.96 tff(743,plain,
% 0.96/0.96 (((~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | ((~r1(X!0, X!0)) | (~p403(X!0)) | (~p603(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~r1(X!0, X!0)) | (~p403(X!0)) | (~p603(X!0)))),
% 0.96/0.96 inference(rewrite,[status(thm)],[])).
% 0.96/0.96 tff(744,plain,
% 0.96/0.96 ((~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | ((~r1(X!0, X!0)) | (~p403(X!0)) | (~p603(X!0)))),
% 0.96/0.96 inference(quant_inst,[status(thm)],[])).
% 0.96/0.96 tff(745,plain,
% 0.96/0.96 ((~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~r1(X!0, X!0)) | (~p403(X!0)) | (~p603(X!0))),
% 0.96/0.96 inference(modus_ponens,[status(thm)],[744, 743])).
% 0.96/0.96 tff(746,plain,
% 0.96/0.96 ((~p403(X!0)) | (~p603(X!0))),
% 0.96/0.96 inference(unit_resolution,[status(thm)],[745, 16, 742])).
% 0.96/0.96 tff(747,plain,
% 0.96/0.96 (~p403(X!0)),
% 0.96/0.96 inference(unit_resolution,[status(thm)],[746, 740])).
% 0.96/0.96 tff(748,plain,
% 0.96/0.96 (p404(X!0)),
% 0.96/0.96 inference(unit_resolution,[status(thm)],[179, 747, 4, 6, 164])).
% 0.96/0.96 tff(749,plain,
% 0.96/0.96 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) 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p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))),
% 0.96/0.96 inference(tautology,[status(thm)],[])).
% 0.96/0.96 tff(750,plain,
% 0.96/0.96 (![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))),
% 0.96/0.96 inference(unit_resolution,[status(thm)],[749, 51])).
% 0.96/0.96 tff(751,plain,
% 0.96/0.96 (((~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | ((~r1(X!0, X!0)) | (~p603(X!0)) | (~p503(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~r1(X!0, X!0)) | (~p603(X!0)) | (~p503(X!0)))),
% 0.96/0.96 inference(rewrite,[status(thm)],[])).
% 0.96/0.96 tff(752,plain,
% 0.96/0.96 (((~r1(X!0, X!0)) | (~p503(X!0)) | (~p603(X!0))) <=> ((~r1(X!0, X!0)) | (~p603(X!0)) | (~p503(X!0)))),
% 0.96/0.96 inference(rewrite,[status(thm)],[])).
% 0.96/0.96 tff(753,plain,
% 0.96/0.96 (((~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | ((~r1(X!0, X!0)) | (~p503(X!0)) | (~p603(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | ((~r1(X!0, X!0)) | (~p603(X!0)) | (~p503(X!0))))),
% 0.96/0.96 inference(monotonicity,[status(thm)],[752])).
% 0.96/0.96 tff(754,plain,
% 0.96/0.96 (((~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | ((~r1(X!0, X!0)) | (~p503(X!0)) | (~p603(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~r1(X!0, X!0)) | (~p603(X!0)) | (~p503(X!0)))),
% 0.96/0.96 inference(transitivity,[status(thm)],[753, 751])).
% 0.96/0.96 tff(755,plain,
% 0.96/0.96 ((~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | ((~r1(X!0, X!0)) | (~p503(X!0)) | (~p603(X!0)))),
% 0.96/0.96 inference(quant_inst,[status(thm)],[])).
% 0.96/0.96 tff(756,plain,
% 0.96/0.96 ((~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~r1(X!0, X!0)) | (~p603(X!0)) | (~p503(X!0))),
% 0.96/0.96 inference(modus_ponens,[status(thm)],[755, 754])).
% 0.96/0.96 tff(757,plain,
% 0.96/0.96 ((~p603(X!0)) | (~p503(X!0))),
% 0.96/0.96 inference(unit_resolution,[status(thm)],[756, 16, 750])).
% 0.96/0.96 tff(758,plain,
% 0.96/0.96 (~p503(X!0)),
% 0.96/0.96 inference(unit_resolution,[status(thm)],[757, 740])).
% 0.96/0.96 tff(759,plain,
% 0.96/0.96 (p504(X!0)),
% 0.96/0.96 inference(unit_resolution,[status(thm)],[301, 758, 238, 536, 3])).
% 0.96/0.96 tff(760,plain,
% 0.96/0.96 ($false),
% 0.96/0.96 inference(unit_resolution,[status(thm)],[336, 759, 748])).
% 0.96/0.96 tff(761,plain,(p505(X!0) | p502(X!0) | p501(X!0) | p401(X!0) | p402(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p605(X!0) | p602(X!0) | p601(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.96/0.96 tff(762,plain,
% 0.96/0.96 (p505(X!0)),
% 0.96/0.96 inference(unit_resolution,[status(thm)],[761, 164, 536, 4, 6, 238, 683, 685, 684])).
% 0.96/0.96 tff(763,plain,
% 0.96/0.96 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))),
% 0.96/0.96 inference(tautology,[status(thm)],[])).
% 0.96/0.96 tff(764,plain,
% 0.96/0.96 (![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))),
% 0.96/0.96 inference(unit_resolution,[status(thm)],[763, 51])).
% 0.96/0.96 tff(765,plain,
% 0.96/0.96 (((~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | ((~p505(X!0)) | (~r1(X!0, X!0)) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))))) <=> ((~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~p505(X!0)) | (~r1(X!0, X!0)) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))))),
% 0.96/0.96 inference(rewrite,[status(thm)],[])).
% 0.96/0.96 tff(766,plain,
% 0.96/0.96 ((~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | ((~p505(X!0)) | (~r1(X!0, X!0)) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))))),
% 0.96/0.96 inference(quant_inst,[status(thm)],[])).
% 0.96/0.96 tff(767,plain,
% 0.96/0.96 ((~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~p505(X!0)) | (~r1(X!0, X!0)) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0)))))),
% 0.96/0.96 inference(modus_ponens,[status(thm)],[766, 765])).
% 0.96/0.96 tff(768,plain,
% 0.96/0.96 ((~p505(X!0)) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0)))))),
% 0.96/0.96 inference(unit_resolution,[status(thm)],[767, 16, 764])).
% 0.96/0.96 tff(769,plain,
% 0.96/0.96 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 0.96/0.96 inference(unit_resolution,[status(thm)],[768, 762])).
% 0.96/0.96 tff(770,plain,
% 0.96/0.96 (r1(X!0, tptp_fun_Y_2(X!0))),
% 0.96/0.96 inference(unit_resolution,[status(thm)],[143, 769])).
% 0.96/0.96 tff(771,plain,
% 0.96/0.96 (~p305(tptp_fun_Y_2(X!0))),
% 0.96/0.96 inference(unit_resolution,[status(thm)],[141, 769])).
% 0.96/0.96 tff(772,plain,
% 0.96/0.96 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.96/0.96 inference(unit_resolution,[status(thm)],[151, 771, 770])).
% 0.96/0.96 tff(773,plain,
% 0.96/0.96 (![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.96/0.96 inference(unit_resolution,[status(thm)],[208, 772, 163, 5, 731])).
% 0.96/0.96 tff(774,plain,
% 0.96/0.96 ((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0))),
% 0.96/0.96 inference(unit_resolution,[status(thm)],[202, 773])).
% 0.96/0.96 tff(775,plain,
% 0.96/0.96 (~p404(X!0)),
% 0.96/0.96 inference(unit_resolution,[status(thm)],[311, 774])).
% 0.96/0.96 tff(776,plain,
% 0.96/0.96 (p403(X!0)),
% 0.96/0.96 inference(unit_resolution,[status(thm)],[179, 775, 4, 6, 164])).
% 0.96/0.96 tff(777,plain,
% 0.96/0.96 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))),
% 0.96/0.97 inference(tautology,[status(thm)],[])).
% 0.96/0.97 tff(778,plain,
% 0.96/0.97 (![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[777, 51])).
% 0.96/0.97 tff(779,plain,
% 0.96/0.97 (((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))) | (~p604(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))) | (~p604(X!0)))),
% 0.96/0.97 inference(rewrite,[status(thm)],[])).
% 0.96/0.97 tff(780,plain,
% 0.96/0.97 ((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))) | (~p604(X!0)))),
% 0.96/0.97 inference(quant_inst,[status(thm)],[])).
% 0.96/0.97 tff(781,plain,
% 0.96/0.97 ((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))) | (~p604(X!0))),
% 0.96/0.97 inference(modus_ponens,[status(thm)],[780, 779])).
% 0.96/0.97 tff(782,plain,
% 0.96/0.97 ((~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))) | (~p604(X!0))),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[781, 16, 778])).
% 0.96/0.97 tff(783,plain,
% 0.96/0.97 (~p604(X!0)),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[782, 774])).
% 0.96/0.97 tff(784,plain,
% 0.96/0.97 (p603(X!0)),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[699, 783, 683, 685, 684])).
% 0.96/0.97 tff(785,plain,
% 0.96/0.97 ($false),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[746, 784, 776])).
% 0.96/0.97 tff(786,plain,(![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p605(X!0) | p602(X!0) | p601(X!0) | p401(X!0) | p402(X!0) | p301(X!0) | p302(X!0) | p501(X!0) | p502(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.96/0.97 tff(787,plain,
% 0.96/0.97 (p501(X!0)),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[786, 164, 5, 684, 4, 683, 163, 6, 685, 238])).
% 0.96/0.97 tff(788,plain,
% 0.96/0.97 (~p201(X!0)),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[522, 787])).
% 0.96/0.97 tff(789,assumption,(~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))), introduced(assumption)).
% 0.96/0.97 tff(790,plain,
% 0.96/0.97 ($false),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[726, 700, 384])).
% 0.96/0.97 tff(791,plain,((~p303(X!0)) | p605(X!0) | p602(X!0) | p601(X!0) | p401(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p402(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.96/0.97 tff(792,plain,
% 0.96/0.97 (~p303(X!0)),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[791, 164, 684, 4, 685, 683, 6])).
% 0.96/0.97 tff(793,plain,
% 0.96/0.97 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[208, 792, 163, 789, 5])).
% 0.96/0.97 tff(794,plain,
% 0.96/0.97 (p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0)))),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[153, 793])).
% 0.96/0.97 tff(795,plain,
% 0.96/0.97 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))),
% 0.96/0.97 inference(tautology,[status(thm)],[])).
% 0.96/0.97 tff(796,plain,
% 0.96/0.97 (![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[795, 51])).
% 0.96/0.97 tff(797,plain,
% 0.96/0.97 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))))) <=> ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))))),
% 0.96/0.97 inference(rewrite,[status(thm)],[])).
% 0.96/0.97 tff(798,plain,
% 0.96/0.97 (((~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))) | (~r1(X!0, X!0)) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0)))))) <=> ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))))),
% 0.96/0.97 inference(rewrite,[status(thm)],[])).
% 0.96/0.97 tff(799,plain,
% 0.96/0.97 (((~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))) | (~r1(X!0, X!0)) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0)))))) <=> ((~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))) | (~r1(X!0, X!0)) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))))),
% 0.96/0.97 inference(monotonicity,[status(thm)],[107])).
% 0.96/0.97 tff(800,plain,
% 0.96/0.97 (((~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))) | (~r1(X!0, X!0)) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0)))))) <=> ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))))),
% 0.96/0.97 inference(transitivity,[status(thm)],[799, 798])).
% 0.96/0.97 tff(801,plain,
% 0.96/0.97 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | ((~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))) | (~r1(X!0, X!0)) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))))) <=> ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0)))))))),
% 0.96/0.97 inference(monotonicity,[status(thm)],[800])).
% 0.96/0.97 tff(802,plain,
% 0.96/0.97 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | ((~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))) | (~r1(X!0, X!0)) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))))) <=> ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))))),
% 0.96/0.97 inference(transitivity,[status(thm)],[801, 797])).
% 0.96/0.97 tff(803,plain,
% 0.96/0.97 ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | ((~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))) | (~r1(X!0, X!0)) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))))),
% 0.96/0.97 inference(quant_inst,[status(thm)],[])).
% 0.96/0.97 tff(804,plain,
% 0.96/0.97 ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0)))))),
% 0.96/0.97 inference(modus_ponens,[status(thm)],[803, 802])).
% 0.96/0.97 tff(805,plain,
% 0.96/0.97 ((~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0)))))),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[804, 16, 796])).
% 0.96/0.97 tff(806,plain,
% 0.96/0.97 (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[805, 794])).
% 0.96/0.97 tff(807,plain,
% 0.96/0.97 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[130, 806])).
% 0.96/0.97 tff(808,assumption,(p603(X!0)), introduced(assumption)).
% 0.96/0.97 tff(809,plain,
% 0.96/0.97 (~p403(X!0)),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[746, 808])).
% 0.96/0.97 tff(810,plain,
% 0.96/0.97 (p404(X!0)),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[179, 809, 4, 164, 6])).
% 0.96/0.97 tff(811,plain,
% 0.96/0.97 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[390, 810])).
% 0.96/0.97 tff(812,plain,
% 0.96/0.97 (~p204(tptp_fun_Y_8(X!0))),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[392, 811])).
% 0.96/0.97 tff(813,plain,
% 0.96/0.97 (r1(X!0, tptp_fun_Y_8(X!0))),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[424, 811])).
% 0.96/0.97 tff(814,plain,
% 0.96/0.97 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, 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p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))),
% 0.96/0.97 inference(tautology,[status(thm)],[])).
% 0.96/0.97 tff(815,plain,
% 0.96/0.97 (![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[814, 51])).
% 0.96/0.97 tff(816,plain,
% 0.96/0.97 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~p603(X!0)))) <=> ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~p603(X!0)))),
% 0.96/0.97 inference(rewrite,[status(thm)],[])).
% 0.96/0.97 tff(817,plain,
% 0.96/0.97 (((~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~r1(X!0, X!0)) | (~p603(X!0))) <=> ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~p603(X!0)))),
% 0.96/0.97 inference(rewrite,[status(thm)],[])).
% 0.96/0.97 tff(818,plain,
% 0.96/0.97 (((~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~r1(X!0, X!0)) | (~p603(X!0))) <=> ((~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~r1(X!0, X!0)) | (~p603(X!0)))),
% 0.96/0.97 inference(monotonicity,[status(thm)],[398])).
% 0.96/0.97 tff(819,plain,
% 0.96/0.97 (((~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~r1(X!0, X!0)) | (~p603(X!0))) <=> ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~p603(X!0)))),
% 0.96/0.97 inference(transitivity,[status(thm)],[818, 817])).
% 0.96/0.97 tff(820,plain,
% 0.96/0.97 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | ((~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~r1(X!0, X!0)) | (~p603(X!0)))) <=> ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~p603(X!0))))),
% 0.96/0.97 inference(monotonicity,[status(thm)],[819])).
% 0.96/0.97 tff(821,plain,
% 0.96/0.97 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | ((~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~r1(X!0, X!0)) | (~p603(X!0)))) <=> ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~p603(X!0)))),
% 0.96/0.97 inference(transitivity,[status(thm)],[820, 816])).
% 0.96/0.97 tff(822,plain,
% 0.96/0.97 ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | ((~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~r1(X!0, X!0)) | (~p603(X!0)))),
% 0.96/0.97 inference(quant_inst,[status(thm)],[])).
% 0.96/0.97 tff(823,plain,
% 0.96/0.97 ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~p603(X!0))),
% 0.96/0.97 inference(modus_ponens,[status(thm)],[822, 821])).
% 0.96/0.97 tff(824,plain,
% 0.96/0.97 ((~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~p603(X!0))),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[823, 16, 815])).
% 0.96/0.97 tff(825,plain,
% 0.96/0.97 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[824, 808])).
% 0.96/0.97 tff(826,plain,
% 0.96/0.97 (~p203(tptp_fun_Y_6(X!0))),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[407, 825])).
% 0.96/0.97 tff(827,plain,
% 0.96/0.97 (r1(X!0, tptp_fun_Y_6(X!0))),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[409, 825])).
% 0.96/0.97 tff(828,plain,
% 0.96/0.97 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[418, 827, 826])).
% 0.96/0.97 tff(829,plain,
% 0.96/0.97 (![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[422, 828, 381, 2, 165])).
% 0.96/0.97 tff(830,plain,
% 0.96/0.97 ($false),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[433, 829, 813, 812])).
% 0.96/0.97 tff(831,plain,((~p603(X!0)) | p201(X!0) | p202(X!0) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p401(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p402(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.96/0.97 tff(832,plain,
% 0.96/0.97 (~p603(X!0)),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[831, 807, 4, 164, 6, 2, 381])).
% 0.96/0.97 tff(833,plain,
% 0.96/0.97 (p604(X!0)),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[699, 832, 683, 685, 684])).
% 0.96/0.97 tff(834,plain,
% 0.96/0.97 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) 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p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))),
% 0.96/0.97 inference(tautology,[status(thm)],[])).
% 0.96/0.97 tff(835,plain,
% 0.96/0.97 (![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[834, 51])).
% 0.96/0.98 tff(836,plain,
% 0.96/0.98 (((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))) | (~p604(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))) | (~p604(X!0)))),
% 0.96/0.98 inference(rewrite,[status(thm)],[])).
% 0.96/0.98 tff(837,plain,
% 0.96/0.98 ((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))) | (~p604(X!0)))),
% 0.96/0.98 inference(quant_inst,[status(thm)],[])).
% 0.96/0.98 tff(838,plain,
% 0.96/0.98 ((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))) | (~p604(X!0))),
% 0.96/0.98 inference(modus_ponens,[status(thm)],[837, 836])).
% 0.96/0.98 tff(839,plain,
% 0.96/0.98 ((~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))) | (~p604(X!0))),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[838, 16, 835])).
% 0.96/0.98 tff(840,plain,
% 0.96/0.98 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[839, 833])).
% 0.96/0.98 tff(841,plain,
% 0.96/0.98 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[457, 840])).
% 0.96/0.98 tff(842,plain,
% 0.96/0.98 (![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[422, 841, 807, 381, 2])).
% 0.96/0.98 tff(843,plain,
% 0.96/0.98 (~p404(X!0)),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[726, 833])).
% 0.96/0.98 tff(844,plain,
% 0.96/0.98 (p403(X!0)),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[179, 843, 4, 6, 164])).
% 0.96/0.98 tff(845,plain,
% 0.96/0.98 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[472, 844])).
% 0.96/0.98 tff(846,plain,
% 0.96/0.98 ($false),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[478, 845, 842])).
% 0.96/0.98 tff(847,plain,(![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p201(X!0) | p202(X!0) | p401(X!0) | p402(X!0) | p605(X!0) | p602(X!0) | p601(X!0) | p301(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | p302(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.96/0.98 tff(848,plain,
% 0.96/0.98 (![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[847, 788, 2, 4, 6, 683, 685, 684, 163, 164, 5])).
% 0.96/0.98 tff(849,plain,
% 0.96/0.98 ((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0))),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[202, 848])).
% 0.96/0.98 tff(850,plain,
% 0.96/0.98 (~p404(X!0)),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[311, 849])).
% 0.96/0.98 tff(851,plain,
% 0.96/0.98 (p403(X!0)),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[179, 850, 4, 6, 164])).
% 0.96/0.98 tff(852,plain,
% 0.96/0.98 (~p604(X!0)),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[782, 849])).
% 0.96/0.98 tff(853,plain,
% 0.96/0.98 (p603(X!0)),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[699, 852, 683, 685, 684])).
% 0.96/0.98 tff(854,plain,
% 0.96/0.98 ($false),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[746, 853, 851])).
% 0.96/0.98 tff(855,plain,(![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p605(X!0) | p602(X!0) | p601(X!0) | p401(X!0) | p402(X!0) | p202(X!0) | p301(X!0) | p302(X!0) | p502(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.96/0.98 tff(856,plain,
% 0.96/0.98 (![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[855, 687, 685, 684, 4, 6, 683, 163, 5, 688])).
% 0.96/0.98 tff(857,plain,
% 0.96/0.98 (p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0)))),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[72, 856])).
% 0.96/0.98 tff(858,plain,
% 0.96/0.98 (~p505(X!0)),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[717, 857])).
% 0.96/0.98 tff(859,assumption,(~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))), introduced(assumption)).
% 0.96/0.98 tff(860,assumption,(~p303(X!0)), introduced(assumption)).
% 0.96/0.98 tff(861,plain,
% 0.96/0.98 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[208, 163, 789, 860, 5])).
% 0.96/0.98 tff(862,plain,
% 0.96/0.98 (p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0)))),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[153, 861])).
% 0.96/0.98 tff(863,plain,
% 0.96/0.98 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))),
% 0.96/0.98 inference(tautology,[status(thm)],[])).
% 0.96/0.98 tff(864,plain,
% 0.96/0.98 (![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[863, 51])).
% 0.96/0.98 tff(865,plain,
% 0.96/0.98 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))))) <=> ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))))),
% 0.96/0.98 inference(rewrite,[status(thm)],[])).
% 0.96/0.98 tff(866,plain,
% 0.96/0.98 (((~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | (~r1(X!0, X!0)) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0)))))) <=> ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))))),
% 0.96/0.98 inference(rewrite,[status(thm)],[])).
% 0.96/0.98 tff(867,plain,
% 0.96/0.98 (((~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | (~r1(X!0, X!0)) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0)))))) <=> ((~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | (~r1(X!0, X!0)) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))))),
% 0.96/0.98 inference(monotonicity,[status(thm)],[78])).
% 0.96/0.98 tff(868,plain,
% 0.96/0.98 (((~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | (~r1(X!0, X!0)) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0)))))) <=> ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))))),
% 0.96/0.98 inference(transitivity,[status(thm)],[867, 866])).
% 0.96/0.98 tff(869,plain,
% 0.96/0.98 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | ((~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | (~r1(X!0, X!0)) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))))) <=> ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0)))))))),
% 0.96/0.98 inference(monotonicity,[status(thm)],[868])).
% 0.96/0.98 tff(870,plain,
% 0.96/0.98 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | ((~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | (~r1(X!0, X!0)) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))))) <=> ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))))),
% 0.96/0.98 inference(transitivity,[status(thm)],[869, 865])).
% 0.96/0.98 tff(871,plain,
% 0.96/0.98 ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | ((~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | (~r1(X!0, X!0)) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))))),
% 0.96/0.98 inference(quant_inst,[status(thm)],[])).
% 0.96/0.98 tff(872,plain,
% 0.96/0.98 ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0)))))),
% 0.96/0.98 inference(modus_ponens,[status(thm)],[871, 870])).
% 0.96/0.98 tff(873,plain,
% 0.96/0.98 ((~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0)))))),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[872, 16, 864])).
% 0.96/0.98 tff(874,plain,
% 0.96/0.98 (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[873, 862])).
% 0.96/0.98 tff(875,plain,
% 0.96/0.98 (~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[101, 874])).
% 0.96/0.98 tff(876,assumption,(p504(X!0)), introduced(assumption)).
% 0.96/0.98 tff(877,plain,
% 0.96/0.98 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[604, 876])).
% 0.96/0.98 tff(878,plain,
% 0.96/0.98 (~p104(tptp_fun_Y_9(X!0))),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[226, 877])).
% 0.96/0.98 tff(879,plain,
% 0.96/0.98 (r1(X!0, tptp_fun_Y_9(X!0))),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[224, 877])).
% 0.96/0.98 tff(880,plain,
% 0.96/0.98 (~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[234, 879, 878])).
% 0.96/0.98 tff(881,assumption,(p101(X!0)), introduced(assumption)).
% 0.96/0.98 tff(882,plain,
% 0.96/0.98 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))),
% 0.96/0.98 inference(tautology,[status(thm)],[])).
% 0.96/0.98 tff(883,plain,
% 0.96/0.98 (![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[882, 51])).
% 0.96/0.98 tff(884,plain,
% 0.96/0.98 (((~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | ((~r1(X!0, X!0)) | (~p101(X!0)) | (~p601(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~r1(X!0, X!0)) | (~p101(X!0)) | (~p601(X!0)))),
% 0.96/0.98 inference(rewrite,[status(thm)],[])).
% 0.96/0.98 tff(885,plain,
% 0.96/0.98 (((~r1(X!0, X!0)) | (~p601(X!0)) | (~p101(X!0))) <=> ((~r1(X!0, X!0)) | (~p101(X!0)) | (~p601(X!0)))),
% 0.96/0.98 inference(rewrite,[status(thm)],[])).
% 0.96/0.98 tff(886,plain,
% 0.96/0.98 (((~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | ((~r1(X!0, X!0)) | (~p601(X!0)) | (~p101(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | ((~r1(X!0, X!0)) | (~p101(X!0)) | (~p601(X!0))))),
% 0.96/0.98 inference(monotonicity,[status(thm)],[885])).
% 0.96/0.98 tff(887,plain,
% 0.96/0.98 (((~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | ((~r1(X!0, X!0)) | (~p601(X!0)) | (~p101(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~r1(X!0, X!0)) | (~p101(X!0)) | (~p601(X!0)))),
% 0.96/0.98 inference(transitivity,[status(thm)],[886, 884])).
% 0.96/0.98 tff(888,plain,
% 0.96/0.98 ((~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | ((~r1(X!0, X!0)) | (~p601(X!0)) | (~p101(X!0)))),
% 0.96/0.98 inference(quant_inst,[status(thm)],[])).
% 0.96/0.98 tff(889,plain,
% 0.96/0.98 ((~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~r1(X!0, X!0)) | (~p101(X!0)) | (~p601(X!0))),
% 0.96/0.98 inference(modus_ponens,[status(thm)],[888, 887])).
% 0.96/0.98 tff(890,plain,
% 0.96/0.98 ((~p101(X!0)) | (~p601(X!0))),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[889, 16, 883])).
% 0.96/0.98 tff(891,plain,
% 0.96/0.98 (~p601(X!0)),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[890, 881])).
% 0.96/0.98 tff(892,plain,
% 0.96/0.98 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) 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% 0.96/0.98 inference(tautology,[status(thm)],[])).
% 0.96/0.98 tff(893,plain,
% 0.96/0.98 (![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[892, 51])).
% 0.96/0.98 tff(894,plain,
% 0.96/0.98 (((~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | ((~r1(X!0, X!0)) | (~p101(X!0)) | (~p401(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~r1(X!0, X!0)) | (~p101(X!0)) | (~p401(X!0)))),
% 0.96/0.98 inference(rewrite,[status(thm)],[])).
% 0.96/0.98 tff(895,plain,
% 0.96/0.98 ((~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | ((~r1(X!0, X!0)) | (~p101(X!0)) | (~p401(X!0)))),
% 0.96/0.98 inference(quant_inst,[status(thm)],[])).
% 0.96/0.98 tff(896,plain,
% 0.96/0.98 ((~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~r1(X!0, X!0)) | (~p101(X!0)) | (~p401(X!0))),
% 0.96/0.98 inference(modus_ponens,[status(thm)],[895, 894])).
% 0.96/0.98 tff(897,plain,
% 0.96/0.98 ((~p101(X!0)) | (~p401(X!0))),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[896, 16, 893])).
% 0.96/0.98 tff(898,plain,
% 0.96/0.98 (~p401(X!0)),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[897, 881])).
% 0.96/0.98 tff(899,plain,
% 0.96/0.98 (~p201(X!0)),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[379, 881])).
% 0.96/0.98 tff(900,plain,
% 0.96/0.98 (~p501(X!0)),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[289, 881])).
% 0.96/0.98 tff(901,plain,
% 0.96/0.98 (~p301(X!0)),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[560, 881])).
% 0.96/0.98 tff(902,assumption,(~p604(X!0)), introduced(assumption)).
% 0.96/0.98 tff(903,assumption,(p202(X!0)), introduced(assumption)).
% 0.96/0.98 tff(904,plain,
% 0.96/0.98 (~p502(X!0)),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[358, 903])).
% 0.96/0.98 tff(905,plain,
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p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))),
% 0.96/0.99 inference(tautology,[status(thm)],[])).
% 0.96/0.99 tff(906,plain,
% 0.96/0.99 (![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))),
% 0.96/0.99 inference(unit_resolution,[status(thm)],[905, 51])).
% 0.96/0.99 tff(907,plain,
% 0.96/0.99 (((~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))) | ((~p202(X!0)) | (~p302(X!0)) | (~r1(X!0, X!0)))) <=> ((~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))) | (~p202(X!0)) | (~p302(X!0)) | (~r1(X!0, X!0)))),
% 0.96/0.99 inference(rewrite,[status(thm)],[])).
% 0.96/0.99 tff(908,plain,
% 0.96/0.99 ((~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))) | ((~p202(X!0)) | (~p302(X!0)) | (~r1(X!0, X!0)))),
% 0.96/0.99 inference(quant_inst,[status(thm)],[])).
% 0.96/0.99 tff(909,plain,
% 0.96/0.99 ((~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))) | (~p202(X!0)) | (~p302(X!0)) | (~r1(X!0, X!0))),
% 0.96/0.99 inference(modus_ponens,[status(thm)],[908, 907])).
% 0.96/0.99 tff(910,plain,
% 0.96/0.99 ((~p202(X!0)) | (~p302(X!0))),
% 0.96/0.99 inference(unit_resolution,[status(thm)],[909, 16, 906])).
% 0.96/0.99 tff(911,plain,
% 0.96/0.99 (~p302(X!0)),
% 0.96/0.99 inference(unit_resolution,[status(thm)],[910, 903])).
% 0.96/0.99 tff(912,plain,
% 0.96/0.99 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))),
% 0.96/0.99 inference(tautology,[status(thm)],[])).
% 0.96/0.99 tff(913,plain,
% 0.96/0.99 (![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))),
% 0.96/0.99 inference(unit_resolution,[status(thm)],[912, 51])).
% 0.96/0.99 tff(914,plain,
% 0.96/0.99 (((~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | ((~p202(X!0)) | (~p402(X!0)) | (~r1(X!0, X!0)))) <=> ((~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~p202(X!0)) | (~p402(X!0)) | (~r1(X!0, X!0)))),
% 0.96/0.99 inference(rewrite,[status(thm)],[])).
% 0.96/0.99 tff(915,plain,
% 0.96/0.99 ((~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | ((~p202(X!0)) | (~p402(X!0)) | (~r1(X!0, X!0)))),
% 0.96/0.99 inference(quant_inst,[status(thm)],[])).
% 0.96/0.99 tff(916,plain,
% 0.96/0.99 ((~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~p202(X!0)) | (~p402(X!0)) | (~r1(X!0, X!0))),
% 0.96/0.99 inference(modus_ponens,[status(thm)],[915, 914])).
% 0.96/0.99 tff(917,plain,
% 0.96/0.99 ((~p202(X!0)) | (~p402(X!0))),
% 0.96/0.99 inference(unit_resolution,[status(thm)],[916, 16, 913])).
% 0.96/0.99 tff(918,plain,
% 0.96/0.99 (~p402(X!0)),
% 0.96/0.99 inference(unit_resolution,[status(thm)],[917, 903])).
% 0.96/0.99 tff(919,plain,
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% 0.96/0.99 inference(tautology,[status(thm)],[])).
% 0.96/0.99 tff(920,plain,
% 0.96/0.99 (![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))),
% 0.96/0.99 inference(unit_resolution,[status(thm)],[919, 51])).
% 0.96/0.99 tff(921,plain,
% 0.96/0.99 (((~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | ((~p202(X!0)) | (~p602(X!0)) | (~r1(X!0, X!0)))) <=> ((~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~p202(X!0)) | (~p602(X!0)) | (~r1(X!0, X!0)))),
% 0.96/0.99 inference(rewrite,[status(thm)],[])).
% 0.96/0.99 tff(922,plain,
% 0.96/0.99 ((~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | ((~p202(X!0)) | (~p602(X!0)) | (~r1(X!0, X!0)))),
% 0.96/0.99 inference(quant_inst,[status(thm)],[])).
% 0.96/0.99 tff(923,plain,
% 0.96/0.99 ((~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~p202(X!0)) | (~p602(X!0)) | (~r1(X!0, X!0))),
% 0.96/0.99 inference(modus_ponens,[status(thm)],[922, 921])).
% 0.96/0.99 tff(924,plain,
% 0.96/0.99 ((~p202(X!0)) | (~p602(X!0))),
% 0.96/0.99 inference(unit_resolution,[status(thm)],[923, 16, 920])).
% 0.96/0.99 tff(925,plain,
% 0.96/0.99 (~p602(X!0)),
% 0.96/0.99 inference(unit_resolution,[status(thm)],[924, 903])).
% 0.96/0.99 tff(926,plain,
% 0.96/0.99 (![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.96/0.99 inference(unit_resolution,[status(thm)],[786, 925, 683, 684, 4, 918, 163, 911, 536, 904])).
% 0.96/0.99 tff(927,plain,
% 0.96/0.99 (p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0)))),
% 0.96/0.99 inference(unit_resolution,[status(thm)],[72, 926])).
% 0.96/0.99 tff(928,plain,
% 0.96/0.99 (~p505(X!0)),
% 0.96/0.99 inference(unit_resolution,[status(thm)],[717, 927])).
% 0.96/0.99 tff(929,plain,
% 0.96/0.99 (~p303(X!0)),
% 0.96/0.99 inference(unit_resolution,[status(thm)],[730, 918, 4, 904, 536, 683, 925, 684])).
% 0.96/0.99 tff(930,plain,
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X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | 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p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))),
% 0.96/0.99 inference(tautology,[status(thm)],[])).
% 0.96/0.99 tff(931,plain,
% 0.96/0.99 (![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))),
% 0.96/0.99 inference(unit_resolution,[status(thm)],[930, 51])).
% 0.96/0.99 tff(932,plain,
% 0.96/0.99 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | ((~r1(X!0, X!0)) | (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))))) <=> ((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~r1(X!0, X!0)) | (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))))),
% 0.96/0.99 inference(rewrite,[status(thm)],[])).
% 0.96/0.99 tff(933,plain,
% 0.96/0.99 (((~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))) | (~r1(X!0, X!0)) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0)))))) <=> ((~r1(X!0, X!0)) | (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))))),
% 0.96/0.99 inference(rewrite,[status(thm)],[])).
% 0.96/0.99 tff(934,plain,
% 0.96/0.99 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | ((~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))) | (~r1(X!0, X!0)) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))))) <=> ((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | ((~r1(X!0, X!0)) | (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0)))))))),
% 0.96/0.99 inference(monotonicity,[status(thm)],[933])).
% 0.96/0.99 tff(935,plain,
% 0.96/0.99 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | ((~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))) | (~r1(X!0, X!0)) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))))) <=> ((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~r1(X!0, X!0)) | (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))))),
% 0.96/0.99 inference(transitivity,[status(thm)],[934, 932])).
% 0.96/0.99 tff(936,plain,
% 0.96/0.99 ((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | ((~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))) | (~r1(X!0, X!0)) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))))),
% 0.96/0.99 inference(quant_inst,[status(thm)],[])).
% 0.96/0.99 tff(937,plain,
% 0.96/0.99 ((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~r1(X!0, X!0)) | (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0)))))),
% 0.96/1.00 inference(modus_ponens,[status(thm)],[936, 935])).
% 0.96/1.00 tff(938,plain,
% 0.96/1.00 ((~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0)))))),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[937, 16, 931])).
% 0.96/1.00 tff(939,plain,
% 0.96/1.00 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[938, 927])).
% 0.96/1.00 tff(940,plain,
% 0.96/1.00 (~p305(tptp_fun_Y_2(X!0))),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[141, 939])).
% 0.96/1.00 tff(941,plain,
% 0.96/1.00 (r1(X!0, tptp_fun_Y_2(X!0))),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[143, 939])).
% 0.96/1.00 tff(942,plain,
% 0.96/1.00 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[151, 941, 940])).
% 0.96/1.00 tff(943,plain,
% 0.96/1.00 (![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[208, 942, 163, 911, 929])).
% 0.96/1.00 tff(944,plain,
% 0.96/1.00 ((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0))),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[202, 943])).
% 0.96/1.00 tff(945,plain,
% 0.96/1.00 (~p504(X!0)),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[299, 944])).
% 0.96/1.00 tff(946,plain,
% 0.96/1.00 (p503(X!0)),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[301, 945, 904, 536, 928])).
% 0.96/1.00 tff(947,plain,
% 0.96/1.00 (~p604(X!0)),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[782, 944])).
% 0.96/1.00 tff(948,plain,
% 0.96/1.00 (p603(X!0)),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[699, 947, 683, 925, 684])).
% 0.96/1.00 tff(949,plain,
% 0.96/1.00 ($false),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[757, 948, 946])).
% 0.96/1.00 tff(950,plain,((~p202(X!0)) | p605(X!0) | p601(X!0) | p501(X!0) | p301(X!0) | p401(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.96/1.00 tff(951,plain,
% 0.96/1.00 (~p202(X!0)),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[950, 684, 683, 536, 163, 4])).
% 0.96/1.00 tff(952,plain,
% 0.96/1.00 (p602(X!0)),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[761, 238, 536, 4, 164, 3, 683, 6, 684])).
% 0.96/1.00 tff(953,plain,
% 0.96/1.00 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))),
% 0.96/1.00 inference(tautology,[status(thm)],[])).
% 0.96/1.00 tff(954,plain,
% 0.96/1.00 (![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[953, 51])).
% 0.96/1.00 tff(955,plain,
% 0.96/1.00 (((~![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))) | ((~p302(X!0)) | (~p602(X!0)) | (~r1(X!0, X!0)))) <=> ((~![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~p302(X!0)) | (~p602(X!0)) | (~r1(X!0, X!0)))),
% 0.96/1.00 inference(rewrite,[status(thm)],[])).
% 0.96/1.00 tff(956,plain,
% 0.96/1.00 ((~![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))) | ((~p302(X!0)) | (~p602(X!0)) | (~r1(X!0, X!0)))),
% 0.96/1.00 inference(quant_inst,[status(thm)],[])).
% 0.96/1.00 tff(957,plain,
% 0.96/1.00 ((~![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~p302(X!0)) | (~p602(X!0)) | (~r1(X!0, X!0))),
% 0.96/1.00 inference(modus_ponens,[status(thm)],[956, 955])).
% 0.96/1.00 tff(958,plain,
% 0.96/1.00 ((~p302(X!0)) | (~p602(X!0))),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[957, 16, 954])).
% 0.96/1.00 tff(959,plain,
% 0.96/1.00 (~p302(X!0)),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[958, 952])).
% 0.96/1.00 tff(960,assumption,(p503(X!0)), introduced(assumption)).
% 0.96/1.00 tff(961,plain,
% 0.96/1.00 (~p303(X!0)),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[346, 960])).
% 0.96/1.00 tff(962,plain,
% 0.96/1.00 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[208, 961, 163, 5, 789])).
% 0.96/1.00 tff(963,plain,
% 0.96/1.00 (~p403(X!0)),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[245, 960])).
% 0.96/1.00 tff(964,plain,
% 0.96/1.00 (p404(X!0)),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[179, 963, 4, 164, 6])).
% 0.96/1.00 tff(965,plain,
% 0.96/1.00 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[390, 964])).
% 0.96/1.00 tff(966,plain,
% 0.96/1.00 (~p204(tptp_fun_Y_8(X!0))),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[392, 965])).
% 0.96/1.00 tff(967,plain,
% 0.96/1.00 (r1(X!0, tptp_fun_Y_8(X!0))),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[424, 965])).
% 0.96/1.00 tff(968,plain,
% 0.96/1.00 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[433, 967, 966])).
% 0.96/1.00 tff(969,plain,
% 0.96/1.00 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[678, 960])).
% 0.96/1.00 tff(970,plain,
% 0.96/1.00 (~p203(tptp_fun_Y_6(X!0))),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[407, 969])).
% 0.96/1.00 tff(971,plain,
% 0.96/1.00 (r1(X!0, tptp_fun_Y_6(X!0))),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[409, 969])).
% 0.96/1.00 tff(972,plain,
% 0.96/1.00 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[418, 971, 970])).
% 0.96/1.00 tff(973,plain,
% 0.96/1.00 (![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[422, 972, 381, 2, 968])).
% 0.96/1.00 tff(974,plain,
% 0.96/1.00 ((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0))),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[130, 973])).
% 0.96/1.00 tff(975,plain,
% 0.96/1.00 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[805, 974])).
% 0.96/1.00 tff(976,plain,
% 0.96/1.00 (~p305(tptp_fun_Y_2(X!0))),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[141, 975])).
% 0.96/1.00 tff(977,plain,
% 0.96/1.00 (r1(X!0, tptp_fun_Y_2(X!0))),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[143, 975])).
% 0.96/1.00 tff(978,plain,
% 0.96/1.00 ($false),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[151, 977, 976, 962])).
% 0.96/1.00 tff(979,plain,((~p503(X!0)) | p201(X!0) | p202(X!0) | p301(X!0) | p302(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | p401(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p402(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.96/1.00 tff(980,plain,
% 0.96/1.00 (~p503(X!0)),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[979, 789, 2, 163, 5, 381, 4, 164, 6])).
% 0.96/1.00 tff(981,plain,
% 0.96/1.00 (p504(X!0)),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[301, 980, 238, 536, 3])).
% 0.96/1.00 tff(982,plain,
% 0.96/1.00 (~p404(X!0)),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[336, 981])).
% 0.96/1.00 tff(983,plain,
% 0.96/1.00 (p403(X!0)),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[179, 982, 4, 164, 6])).
% 0.96/1.00 tff(984,plain,
% 0.96/1.00 (~p303(X!0)),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[218, 983])).
% 0.96/1.00 tff(985,plain,
% 0.96/1.00 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[208, 984, 163, 5, 789])).
% 0.96/1.00 tff(986,plain,
% 0.96/1.00 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[654, 981])).
% 0.96/1.00 tff(987,plain,
% 0.96/1.00 (~p204(tptp_fun_Y_8(X!0))),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[392, 986])).
% 0.96/1.00 tff(988,plain,
% 0.96/1.00 (r1(X!0, tptp_fun_Y_8(X!0))),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[424, 986])).
% 0.96/1.00 tff(989,plain,
% 0.96/1.00 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[433, 988, 987])).
% 0.96/1.00 tff(990,plain,
% 0.96/1.00 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[472, 983])).
% 0.96/1.00 tff(991,plain,
% 0.96/1.00 (~p203(tptp_fun_Y_6(X!0))),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[407, 990])).
% 0.96/1.00 tff(992,plain,
% 0.96/1.00 (r1(X!0, tptp_fun_Y_6(X!0))),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[409, 990])).
% 0.96/1.00 tff(993,plain,
% 0.96/1.00 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[418, 992, 991])).
% 0.96/1.00 tff(994,plain,
% 0.96/1.00 (![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[422, 993, 381, 2, 989])).
% 0.96/1.00 tff(995,plain,
% 0.96/1.00 ((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0))),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[130, 994])).
% 0.96/1.00 tff(996,plain,
% 0.96/1.00 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[805, 995])).
% 0.96/1.00 tff(997,plain,
% 0.96/1.00 (~p305(tptp_fun_Y_2(X!0))),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[141, 996])).
% 0.96/1.00 tff(998,plain,
% 0.96/1.00 (r1(X!0, tptp_fun_Y_2(X!0))),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[143, 996])).
% 0.96/1.00 tff(999,plain,
% 0.96/1.00 ($false),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[151, 998, 997, 985])).
% 0.96/1.00 tff(1000,plain,(![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | p201(X!0) | p202(X!0) | p301(X!0) | p302(X!0) | p401(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p402(X!0) | p502(X!0) | p501(X!0) | p505(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.96/1.00 tff(1001,plain,
% 0.96/1.00 (![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[1000, 959, 951, 163, 381, 4, 164, 6, 238, 536, 3])).
% 0.96/1.00 tff(1002,plain,
% 0.96/1.00 ((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0))),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[202, 1001])).
% 0.96/1.00 tff(1003,plain,
% 0.96/1.00 (~p504(X!0)),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[299, 1002])).
% 0.96/1.00 tff(1004,plain,
% 0.96/1.00 (p503(X!0)),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[301, 1003, 238, 536, 3])).
% 0.96/1.00 tff(1005,plain,
% 0.96/1.00 (~p404(X!0)),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[311, 1002])).
% 0.96/1.00 tff(1006,plain,
% 0.96/1.00 (p403(X!0)),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[179, 1005, 4, 164, 6])).
% 0.96/1.00 tff(1007,plain,
% 0.96/1.00 ($false),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[245, 1006, 1004])).
% 0.96/1.00 tff(1008,plain,(p502(X!0) | p401(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p402(X!0) | p501(X!0) | p505(X!0) | p301(X!0) | p201(X!0) | p605(X!0) | p601(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.96/1.00 tff(1009,plain,
% 0.96/1.00 (p502(X!0)),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[1008, 6, 164, 4, 536, 3, 163, 381, 683, 684])).
% 0.96/1.00 tff(1010,plain,
% 0.96/1.00 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))),
% 1.03/1.00 inference(tautology,[status(thm)],[])).
% 1.03/1.00 tff(1011,plain,
% 1.03/1.00 (![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))),
% 1.03/1.00 inference(unit_resolution,[status(thm)],[1010, 51])).
% 1.03/1.00 tff(1012,plain,
% 1.03/1.00 (((~![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | ((~p502(X!0)) | (~p602(X!0)) | (~r1(X!0, X!0)))) <=> ((~![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~p502(X!0)) | (~p602(X!0)) | (~r1(X!0, X!0)))),
% 1.03/1.00 inference(rewrite,[status(thm)],[])).
% 1.03/1.00 tff(1013,plain,
% 1.03/1.00 ((~![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | ((~p502(X!0)) | (~p602(X!0)) | (~r1(X!0, X!0)))),
% 1.03/1.00 inference(quant_inst,[status(thm)],[])).
% 1.03/1.00 tff(1014,plain,
% 1.03/1.00 ((~![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~p502(X!0)) | (~p602(X!0)) | (~r1(X!0, X!0))),
% 1.03/1.00 inference(modus_ponens,[status(thm)],[1013, 1012])).
% 1.03/1.00 tff(1015,plain,
% 1.03/1.00 ((~p502(X!0)) | (~p602(X!0))),
% 1.03/1.00 inference(unit_resolution,[status(thm)],[1014, 16, 1011])).
% 1.03/1.00 tff(1016,plain,
% 1.03/1.00 (~p602(X!0)),
% 1.03/1.00 inference(unit_resolution,[status(thm)],[1015, 1009])).
% 1.03/1.00 tff(1017,plain,
% 1.03/1.00 (p603(X!0)),
% 1.03/1.00 inference(unit_resolution,[status(thm)],[699, 1016, 683, 902, 684])).
% 1.03/1.00 tff(1018,plain,
% 1.03/1.00 (~p303(X!0)),
% 1.03/1.00 inference(unit_resolution,[status(thm)],[697, 1017])).
% 1.03/1.00 tff(1019,plain,
% 1.03/1.00 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))),
% 1.03/1.00 inference(tautology,[status(thm)],[])).
% 1.03/1.00 tff(1020,plain,
% 1.03/1.00 (![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))),
% 1.03/1.00 inference(unit_resolution,[status(thm)],[1019, 51])).
% 1.03/1.00 tff(1021,plain,
% 1.03/1.00 (((~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | ((~p302(X!0)) | (~p502(X!0)) | (~r1(X!0, X!0)))) <=> ((~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~p302(X!0)) | (~p502(X!0)) | (~r1(X!0, X!0)))),
% 1.03/1.00 inference(rewrite,[status(thm)],[])).
% 1.03/1.00 tff(1022,plain,
% 1.03/1.00 ((~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | ((~p302(X!0)) | (~p502(X!0)) | (~r1(X!0, X!0)))),
% 1.03/1.00 inference(quant_inst,[status(thm)],[])).
% 1.03/1.00 tff(1023,plain,
% 1.03/1.00 ((~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~p302(X!0)) | (~p502(X!0)) | (~r1(X!0, X!0))),
% 1.03/1.00 inference(modus_ponens,[status(thm)],[1022, 1021])).
% 1.03/1.00 tff(1024,plain,
% 1.03/1.00 ((~p302(X!0)) | (~p502(X!0))),
% 1.03/1.00 inference(unit_resolution,[status(thm)],[1023, 16, 1020])).
% 1.03/1.00 tff(1025,plain,
% 1.03/1.00 (~p302(X!0)),
% 1.03/1.00 inference(unit_resolution,[status(thm)],[1024, 1009])).
% 1.03/1.00 tff(1026,plain,
% 1.03/1.00 (~p403(X!0)),
% 1.03/1.00 inference(unit_resolution,[status(thm)],[746, 1017])).
% 1.03/1.00 tff(1027,plain,
% 1.03/1.00 (p404(X!0)),
% 1.03/1.00 inference(unit_resolution,[status(thm)],[179, 1026, 4, 164, 6])).
% 1.03/1.00 tff(1028,plain,
% 1.03/1.00 (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))),
% 1.03/1.00 inference(unit_resolution,[status(thm)],[311, 1027])).
% 1.03/1.00 tff(1029,plain,
% 1.03/1.00 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 1.03/1.00 inference(unit_resolution,[status(thm)],[202, 1028])).
% 1.03/1.00 tff(1030,plain,
% 1.03/1.00 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 1.03/1.00 inference(unit_resolution,[status(thm)],[208, 1029, 163, 1025, 1018])).
% 1.03/1.00 tff(1031,plain,
% 1.03/1.00 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 1.03/1.00 inference(unit_resolution,[status(thm)],[824, 1017])).
% 1.03/1.00 tff(1032,plain,
% 1.03/1.00 (~p203(tptp_fun_Y_6(X!0))),
% 1.03/1.00 inference(unit_resolution,[status(thm)],[407, 1031])).
% 1.03/1.00 tff(1033,plain,
% 1.03/1.00 (r1(X!0, tptp_fun_Y_6(X!0))),
% 1.03/1.00 inference(unit_resolution,[status(thm)],[409, 1031])).
% 1.03/1.00 tff(1034,plain,
% 1.03/1.00 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 1.03/1.00 inference(unit_resolution,[status(thm)],[418, 1033, 1032])).
% 1.03/1.00 tff(1035,plain,
% 1.03/1.00 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 1.03/1.00 inference(unit_resolution,[status(thm)],[390, 1027])).
% 1.03/1.00 tff(1036,plain,
% 1.03/1.00 (~p204(tptp_fun_Y_8(X!0))),
% 1.03/1.00 inference(unit_resolution,[status(thm)],[392, 1035])).
% 1.03/1.00 tff(1037,plain,
% 1.03/1.00 (r1(X!0, tptp_fun_Y_8(X!0))),
% 1.03/1.00 inference(unit_resolution,[status(thm)],[424, 1035])).
% 1.03/1.00 tff(1038,plain,
% 1.03/1.00 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 1.03/1.00 inference(unit_resolution,[status(thm)],[433, 1037, 1036])).
% 1.03/1.00 tff(1039,plain,
% 1.03/1.00 (![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 1.03/1.00 inference(unit_resolution,[status(thm)],[422, 1038, 381, 951, 1034])).
% 1.03/1.00 tff(1040,plain,
% 1.03/1.00 ((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0))),
% 1.03/1.00 inference(unit_resolution,[status(thm)],[130, 1039])).
% 1.03/1.00 tff(1041,plain,
% 1.03/1.00 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 1.03/1.00 inference(unit_resolution,[status(thm)],[805, 1040])).
% 1.03/1.00 tff(1042,plain,
% 1.03/1.00 (~p305(tptp_fun_Y_2(X!0))),
% 1.03/1.00 inference(unit_resolution,[status(thm)],[141, 1041])).
% 1.03/1.00 tff(1043,plain,
% 1.03/1.00 (r1(X!0, tptp_fun_Y_2(X!0))),
% 1.03/1.00 inference(unit_resolution,[status(thm)],[143, 1041])).
% 1.03/1.00 tff(1044,plain,
% 1.03/1.00 ($false),
% 1.03/1.00 inference(unit_resolution,[status(thm)],[151, 1043, 1042, 1030])).
% 1.03/1.00 tff(1045,plain,(p402(X!0) | p201(X!0) | p301(X!0) | p401(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p605(X!0) | p604(X!0) | p601(X!0) | p501(X!0) | p505(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.03/1.01 tff(1046,plain,
% 1.03/1.01 (p402(X!0)),
% 1.03/1.01 inference(unit_resolution,[status(thm)],[1045, 3, 163, 4, 164, 683, 902, 684, 536, 381])).
% 1.03/1.01 tff(1047,plain,
% 1.03/1.01 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))),
% 1.03/1.01 inference(tautology,[status(thm)],[])).
% 1.03/1.01 tff(1048,plain,
% 1.03/1.01 (![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))),
% 1.03/1.01 inference(unit_resolution,[status(thm)],[1047, 51])).
% 1.03/1.01 tff(1049,plain,
% 1.03/1.01 (((~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | ((~p402(X!0)) | (~p602(X!0)) | (~r1(X!0, X!0)))) <=> ((~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~p402(X!0)) | (~p602(X!0)) | (~r1(X!0, X!0)))),
% 1.03/1.01 inference(rewrite,[status(thm)],[])).
% 1.03/1.01 tff(1050,plain,
% 1.03/1.01 ((~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | ((~p402(X!0)) | (~p602(X!0)) | (~r1(X!0, X!0)))),
% 1.03/1.01 inference(quant_inst,[status(thm)],[])).
% 1.03/1.01 tff(1051,plain,
% 1.03/1.01 ((~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~p402(X!0)) | (~p602(X!0)) | (~r1(X!0, X!0))),
% 1.03/1.01 inference(modus_ponens,[status(thm)],[1050, 1049])).
% 1.03/1.01 tff(1052,plain,
% 1.03/1.01 ((~p402(X!0)) | (~p602(X!0))),
% 1.03/1.01 inference(unit_resolution,[status(thm)],[1051, 16, 1048])).
% 1.03/1.01 tff(1053,plain,
% 1.03/1.01 (~p602(X!0)),
% 1.03/1.01 inference(unit_resolution,[status(thm)],[1052, 1046])).
% 1.03/1.01 tff(1054,plain,
% 1.03/1.01 (p603(X!0)),
% 1.03/1.01 inference(unit_resolution,[status(thm)],[699, 1053, 683, 902, 684])).
% 1.03/1.01 tff(1055,plain,
% 1.03/1.01 (~p303(X!0)),
% 1.03/1.01 inference(unit_resolution,[status(thm)],[697, 1054])).
% 1.03/1.01 tff(1056,plain,
% 1.03/1.01 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))),
% 1.03/1.01 inference(tautology,[status(thm)],[])).
% 1.03/1.01 tff(1057,plain,
% 1.03/1.01 (![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))),
% 1.03/1.01 inference(unit_resolution,[status(thm)],[1056, 51])).
% 1.03/1.01 tff(1058,plain,
% 1.03/1.01 (((~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | ((~p302(X!0)) | (~p402(X!0)) | (~r1(X!0, X!0)))) <=> ((~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~p302(X!0)) | (~p402(X!0)) | (~r1(X!0, X!0)))),
% 1.03/1.01 inference(rewrite,[status(thm)],[])).
% 1.03/1.01 tff(1059,plain,
% 1.03/1.01 ((~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | ((~p302(X!0)) | (~p402(X!0)) | (~r1(X!0, X!0)))),
% 1.03/1.01 inference(quant_inst,[status(thm)],[])).
% 1.03/1.01 tff(1060,plain,
% 1.03/1.01 ((~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~p302(X!0)) | (~p402(X!0)) | (~r1(X!0, X!0))),
% 1.03/1.01 inference(modus_ponens,[status(thm)],[1059, 1058])).
% 1.03/1.01 tff(1061,plain,
% 1.03/1.01 ((~p302(X!0)) | (~p402(X!0))),
% 1.03/1.01 inference(unit_resolution,[status(thm)],[1060, 16, 1057])).
% 1.03/1.01 tff(1062,plain,
% 1.03/1.01 (~p302(X!0)),
% 1.03/1.01 inference(unit_resolution,[status(thm)],[1061, 1046])).
% 1.03/1.01 tff(1063,plain,
% 1.03/1.01 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))),
% 1.03/1.01 inference(tautology,[status(thm)],[])).
% 1.03/1.01 tff(1064,plain,
% 1.03/1.01 (![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))),
% 1.03/1.01 inference(unit_resolution,[status(thm)],[1063, 51])).
% 1.03/1.01 tff(1065,plain,
% 1.03/1.01 (((~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | ((~p402(X!0)) | (~p502(X!0)) | (~r1(X!0, X!0)))) <=> ((~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~p402(X!0)) | (~p502(X!0)) | (~r1(X!0, X!0)))),
% 1.03/1.01 inference(rewrite,[status(thm)],[])).
% 1.03/1.01 tff(1066,plain,
% 1.03/1.01 ((~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | ((~p402(X!0)) | (~p502(X!0)) | (~r1(X!0, X!0)))),
% 1.03/1.01 inference(quant_inst,[status(thm)],[])).
% 1.03/1.01 tff(1067,plain,
% 1.03/1.01 ((~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~p402(X!0)) | (~p502(X!0)) | (~r1(X!0, X!0))),
% 1.03/1.01 inference(modus_ponens,[status(thm)],[1066, 1065])).
% 1.03/1.01 tff(1068,plain,
% 1.03/1.01 ((~p402(X!0)) | (~p502(X!0))),
% 1.03/1.01 inference(unit_resolution,[status(thm)],[1067, 16, 1064])).
% 1.03/1.01 tff(1069,plain,
% 1.03/1.01 (~p502(X!0)),
% 1.03/1.01 inference(unit_resolution,[status(thm)],[1068, 1046])).
% 1.03/1.01 tff(1070,plain,
% 1.03/1.01 (~p503(X!0)),
% 1.03/1.01 inference(unit_resolution,[status(thm)],[757, 1054])).
% 1.03/1.01 tff(1071,plain,
% 1.03/1.01 (p504(X!0)),
% 1.03/1.01 inference(unit_resolution,[status(thm)],[301, 1070, 1069, 536, 3])).
% 1.03/1.01 tff(1072,plain,
% 1.03/1.01 (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))),
% 1.03/1.01 inference(unit_resolution,[status(thm)],[299, 1071])).
% 1.03/1.01 tff(1073,plain,
% 1.03/1.01 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 1.03/1.01 inference(unit_resolution,[status(thm)],[202, 1072])).
% 1.03/1.01 tff(1074,plain,
% 1.03/1.01 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 1.03/1.01 inference(unit_resolution,[status(thm)],[208, 1073, 163, 1062, 1055])).
% 1.03/1.01 tff(1075,plain,
% 1.03/1.01 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 1.03/1.01 inference(unit_resolution,[status(thm)],[824, 1054])).
% 1.03/1.01 tff(1076,plain,
% 1.03/1.01 (~p203(tptp_fun_Y_6(X!0))),
% 1.03/1.01 inference(unit_resolution,[status(thm)],[407, 1075])).
% 1.03/1.01 tff(1077,plain,
% 1.03/1.01 (r1(X!0, tptp_fun_Y_6(X!0))),
% 1.03/1.01 inference(unit_resolution,[status(thm)],[409, 1075])).
% 1.03/1.01 tff(1078,plain,
% 1.03/1.01 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 1.03/1.01 inference(unit_resolution,[status(thm)],[418, 1077, 1076])).
% 1.03/1.01 tff(1079,plain,
% 1.03/1.01 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 1.03/1.01 inference(unit_resolution,[status(thm)],[654, 1071])).
% 1.03/1.01 tff(1080,plain,
% 1.03/1.01 (~p204(tptp_fun_Y_8(X!0))),
% 1.03/1.01 inference(unit_resolution,[status(thm)],[392, 1079])).
% 1.03/1.01 tff(1081,plain,
% 1.03/1.01 (r1(X!0, tptp_fun_Y_8(X!0))),
% 1.03/1.01 inference(unit_resolution,[status(thm)],[424, 1079])).
% 1.03/1.01 tff(1082,plain,
% 1.03/1.01 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 1.03/1.01 inference(unit_resolution,[status(thm)],[433, 1081, 1080])).
% 1.03/1.01 tff(1083,plain,
% 1.03/1.01 (![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 1.03/1.01 inference(unit_resolution,[status(thm)],[422, 1082, 381, 951, 1078])).
% 1.03/1.01 tff(1084,plain,
% 1.03/1.01 ((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0))),
% 1.03/1.01 inference(unit_resolution,[status(thm)],[130, 1083])).
% 1.03/1.01 tff(1085,plain,
% 1.03/1.01 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 1.03/1.01 inference(unit_resolution,[status(thm)],[805, 1084])).
% 1.03/1.01 tff(1086,plain,
% 1.03/1.01 (~p305(tptp_fun_Y_2(X!0))),
% 1.03/1.01 inference(unit_resolution,[status(thm)],[141, 1085])).
% 1.03/1.01 tff(1087,plain,
% 1.03/1.01 (r1(X!0, tptp_fun_Y_2(X!0))),
% 1.03/1.01 inference(unit_resolution,[status(thm)],[143, 1085])).
% 1.03/1.01 tff(1088,plain,
% 1.03/1.01 ($false),
% 1.03/1.01 inference(unit_resolution,[status(thm)],[151, 1087, 1086, 1074])).
% 1.03/1.01 tff(1089,plain,(p505(X!0) | p201(X!0) | p301(X!0) | p501(X!0) | p605(X!0) | p604(X!0) | p601(X!0) | p401(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 1.03/1.01 tff(1090,plain,
% 1.03/1.01 (p505(X!0)),
% 1.03/1.01 inference(unit_resolution,[status(thm)],[1089, 902, 163, 536, 683, 381, 684, 4, 164])).
% 1.03/1.01 tff(1091,plain,
% 1.03/1.01 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))),
% 1.03/1.01 inference(tautology,[status(thm)],[])).
% 1.03/1.01 tff(1092,plain,
% 1.03/1.01 (![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))),
% 1.03/1.01 inference(unit_resolution,[status(thm)],[1091, 51])).
% 1.03/1.01 tff(1093,plain,
% 1.03/1.01 (((~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))) | (~p505(X!0)))) <=> ((~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))) | (~p505(X!0)))),
% 1.03/1.01 inference(rewrite,[status(thm)],[])).
% 1.03/1.01 tff(1094,plain,
% 1.03/1.01 (((~p505(X!0)) | (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))) | (~r1(X!0, X!0))) <=> ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))) | (~p505(X!0)))),
% 1.03/1.01 inference(rewrite,[status(thm)],[])).
% 1.03/1.01 tff(1095,plain,
% 1.03/1.01 (((~p505(X!0)) | (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))) | (~r1(X!0, X!0))) <=> ((~p505(X!0)) | (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))) | (~r1(X!0, X!0)))),
% 1.03/1.01 inference(monotonicity,[status(thm)],[107])).
% 1.03/1.02 tff(1096,plain,
% 1.03/1.02 (((~p505(X!0)) | (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))) | (~r1(X!0, X!0))) <=> ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))) | (~p505(X!0)))),
% 1.03/1.02 inference(transitivity,[status(thm)],[1095, 1094])).
% 1.03/1.02 tff(1097,plain,
% 1.03/1.02 (((~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | ((~p505(X!0)) | (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))) | (~r1(X!0, X!0)))) <=> ((~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))) | (~p505(X!0))))),
% 1.03/1.02 inference(monotonicity,[status(thm)],[1096])).
% 1.03/1.02 tff(1098,plain,
% 1.03/1.02 (((~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | ((~p505(X!0)) | (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))) | (~r1(X!0, X!0)))) <=> ((~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))) | (~p505(X!0)))),
% 1.03/1.02 inference(transitivity,[status(thm)],[1097, 1093])).
% 1.03/1.02 tff(1099,plain,
% 1.03/1.02 ((~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | ((~p505(X!0)) | (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))) | (~r1(X!0, X!0)))),
% 1.03/1.02 inference(quant_inst,[status(thm)],[])).
% 1.03/1.02 tff(1100,plain,
% 1.03/1.02 ((~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))) | (~p505(X!0))),
% 1.03/1.02 inference(modus_ponens,[status(thm)],[1099, 1098])).
% 1.03/1.02 tff(1101,plain,
% 1.03/1.02 ((~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))) | (~p505(X!0))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[1100, 16, 1092])).
% 1.03/1.02 tff(1102,plain,
% 1.03/1.02 (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[1101, 1090])).
% 1.03/1.02 tff(1103,plain,
% 1.03/1.02 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[130, 1102])).
% 1.03/1.02 tff(1104,plain,
% 1.03/1.02 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[768, 1090])).
% 1.03/1.02 tff(1105,plain,
% 1.03/1.02 (~p305(tptp_fun_Y_2(X!0))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[141, 1104])).
% 1.03/1.02 tff(1106,plain,
% 1.03/1.02 (r1(X!0, tptp_fun_Y_2(X!0))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[143, 1104])).
% 1.03/1.02 tff(1107,plain,
% 1.03/1.02 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[151, 1106, 1105])).
% 1.03/1.02 tff(1108,plain,
% 1.03/1.02 (~p303(X!0)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[435, 6, 2, 165, 4, 164, 381])).
% 1.03/1.02 tff(1109,plain,
% 1.03/1.02 (~p603(X!0)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[831, 6, 2, 165, 4, 164, 381])).
% 1.03/1.02 tff(1110,plain,
% 1.03/1.02 (p602(X!0)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[699, 1109, 683, 902, 684])).
% 1.03/1.02 tff(1111,plain,
% 1.03/1.02 (~p302(X!0)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[958, 1110])).
% 1.03/1.02 tff(1112,plain,
% 1.03/1.02 (![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[208, 1111, 163, 162, 1108])).
% 1.03/1.02 tff(1113,plain,
% 1.03/1.02 ((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[202, 1112])).
% 1.03/1.02 tff(1114,plain,
% 1.03/1.02 (~p404(X!0)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[311, 1113])).
% 1.03/1.02 tff(1115,plain,
% 1.03/1.02 (p403(X!0)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[179, 1114, 4, 164, 6])).
% 1.03/1.02 tff(1116,plain,
% 1.03/1.02 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[472, 1115])).
% 1.03/1.02 tff(1117,plain,
% 1.03/1.02 (~p203(tptp_fun_Y_6(X!0))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[407, 1116])).
% 1.03/1.02 tff(1118,plain,
% 1.03/1.02 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[451, 1113])).
% 1.03/1.02 tff(1119,plain,
% 1.03/1.02 (~p204(tptp_fun_Y_8(X!0))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[392, 1118])).
% 1.03/1.02 tff(1120,plain,
% 1.03/1.02 (r1(X!0, tptp_fun_Y_8(X!0))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[424, 1118])).
% 1.03/1.02 tff(1121,plain,
% 1.03/1.02 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[433, 1120, 1119])).
% 1.03/1.02 tff(1122,plain,
% 1.03/1.02 (![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[422, 1121, 381, 2, 165])).
% 1.03/1.02 tff(1123,plain,
% 1.03/1.02 (r1(X!0, tptp_fun_Y_6(X!0))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[409, 1116])).
% 1.03/1.02 tff(1124,plain,
% 1.03/1.02 ($false),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[418, 1123, 1122, 1117])).
% 1.03/1.02 tff(1125,plain,(p402(X!0) | p201(X!0) | p202(X!0) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p401(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p301(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p605(X!0) | p604(X!0) | p601(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.03/1.02 tff(1126,plain,
% 1.03/1.02 (p402(X!0)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[1125, 1103, 951, 381, 4, 164, 163, 1107, 683, 902, 684])).
% 1.03/1.02 tff(1127,plain,
% 1.03/1.02 (~p602(X!0)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[1052, 1126])).
% 1.03/1.02 tff(1128,plain,
% 1.03/1.02 (p603(X!0)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[699, 1127, 683, 902, 684])).
% 1.03/1.02 tff(1129,plain,
% 1.03/1.02 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[824, 1128])).
% 1.03/1.02 tff(1130,plain,
% 1.03/1.02 (~p203(tptp_fun_Y_6(X!0))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[407, 1129])).
% 1.03/1.02 tff(1131,plain,
% 1.03/1.02 (r1(X!0, tptp_fun_Y_6(X!0))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[409, 1129])).
% 1.03/1.02 tff(1132,plain,
% 1.03/1.02 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[418, 1131, 1130])).
% 1.03/1.02 tff(1133,plain,
% 1.03/1.02 (![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[422, 1132, 381, 951, 1103])).
% 1.03/1.02 tff(1134,plain,
% 1.03/1.02 (~p302(X!0)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[1061, 1126])).
% 1.03/1.02 tff(1135,plain,
% 1.03/1.02 (~p303(X!0)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[697, 1128])).
% 1.03/1.02 tff(1136,plain,
% 1.03/1.02 (![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[208, 1135, 163, 1107, 1134])).
% 1.03/1.02 tff(1137,plain,
% 1.03/1.02 ((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[202, 1136])).
% 1.03/1.02 tff(1138,plain,
% 1.03/1.02 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[451, 1137])).
% 1.03/1.02 tff(1139,plain,
% 1.03/1.02 (r1(X!0, tptp_fun_Y_8(X!0))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[424, 1138])).
% 1.03/1.02 tff(1140,plain,
% 1.03/1.02 (~p204(tptp_fun_Y_8(X!0))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[392, 1138])).
% 1.03/1.02 tff(1141,plain,
% 1.03/1.02 ($false),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[433, 1140, 1139, 1133])).
% 1.03/1.02 tff(1142,plain,(p604(X!0) | p201(X!0) | p301(X!0) | p605(X!0) | p601(X!0) | p401(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p501(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.03/1.02 tff(1143,plain,
% 1.03/1.02 (p604(X!0)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[1142, 164, 163, 683, 684, 4, 381, 536])).
% 1.03/1.02 tff(1144,plain,
% 1.03/1.02 (~p404(X!0)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[726, 1143])).
% 1.03/1.02 tff(1145,plain,
% 1.03/1.02 (p403(X!0)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[179, 6, 4, 164, 1144])).
% 1.03/1.02 tff(1146,plain,
% 1.03/1.02 (~p303(X!0)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[218, 1145])).
% 1.03/1.02 tff(1147,plain,
% 1.03/1.02 (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[782, 1143])).
% 1.03/1.02 tff(1148,plain,
% 1.03/1.02 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[202, 1147])).
% 1.03/1.02 tff(1149,plain,
% 1.03/1.02 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[839, 1143])).
% 1.03/1.02 tff(1150,plain,
% 1.03/1.02 (r1(X!0, tptp_fun_Y_8(X!0))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[424, 1149])).
% 1.03/1.02 tff(1151,plain,
% 1.03/1.02 (~p204(tptp_fun_Y_8(X!0))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[392, 1149])).
% 1.03/1.02 tff(1152,plain,
% 1.03/1.02 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[433, 1151, 1150])).
% 1.03/1.02 tff(1153,plain,
% 1.03/1.02 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[472, 1145])).
% 1.03/1.02 tff(1154,plain,
% 1.03/1.02 (~p203(tptp_fun_Y_6(X!0))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[407, 1153])).
% 1.03/1.02 tff(1155,plain,
% 1.03/1.02 (r1(X!0, tptp_fun_Y_6(X!0))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[409, 1153])).
% 1.03/1.02 tff(1156,plain,
% 1.03/1.02 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[418, 1155, 1154])).
% 1.03/1.02 tff(1157,plain,
% 1.03/1.02 (![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[422, 1156, 381, 951, 1152])).
% 1.03/1.02 tff(1158,plain,
% 1.03/1.02 ((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[130, 1157])).
% 1.03/1.02 tff(1159,plain,
% 1.03/1.02 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[805, 1158])).
% 1.03/1.02 tff(1160,plain,
% 1.03/1.02 (~p305(tptp_fun_Y_2(X!0))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[141, 1159])).
% 1.03/1.02 tff(1161,plain,
% 1.03/1.02 (r1(X!0, tptp_fun_Y_2(X!0))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[143, 1159])).
% 1.03/1.02 tff(1162,plain,
% 1.03/1.02 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[151, 1161, 1160])).
% 1.03/1.02 tff(1163,plain,
% 1.03/1.02 (~p505(X!0)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[1101, 1158])).
% 1.03/1.02 tff(1164,plain,
% 1.03/1.02 (p502(X!0)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[1008, 1163, 164, 4, 536, 6, 163, 381, 683, 684])).
% 1.03/1.02 tff(1165,plain,
% 1.03/1.02 (~p302(X!0)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[1024, 1164])).
% 1.03/1.02 tff(1166,plain,
% 1.03/1.02 ($false),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[208, 1165, 1162, 163, 1148, 1146])).
% 1.03/1.02 tff(1167,plain,(p402(X!0) | p301(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p401(X!0) | p501(X!0) | p201(X!0) | p605(X!0) | p601(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.03/1.02 tff(1168,plain,
% 1.03/1.02 (p402(X!0)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[1167, 164, 163, 4, 536, 381, 683, 684])).
% 1.03/1.02 tff(1169,plain,
% 1.03/1.02 (~p302(X!0)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[1061, 1168])).
% 1.03/1.02 tff(1170,plain,
% 1.03/1.02 (~p502(X!0)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[1068, 1168])).
% 1.03/1.02 tff(1171,plain,
% 1.03/1.02 (~p504(X!0)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[706, 1143])).
% 1.03/1.02 tff(1172,plain,
% 1.03/1.02 (~p303(X!0)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[405, 580])).
% 1.03/1.02 tff(1173,plain,
% 1.03/1.02 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[208, 1172, 163, 789, 5])).
% 1.03/1.02 tff(1174,assumption,(~p504(X!0)), introduced(assumption)).
% 1.03/1.02 tff(1175,plain,
% 1.03/1.02 (~p503(X!0)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[678, 580])).
% 1.03/1.02 tff(1176,plain,
% 1.03/1.02 (p505(X!0)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[301, 1175, 1174, 536, 238])).
% 1.03/1.02 tff(1177,plain,
% 1.03/1.02 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[768, 1176])).
% 1.03/1.02 tff(1178,plain,
% 1.03/1.02 (~p305(tptp_fun_Y_2(X!0))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[141, 1177])).
% 1.03/1.02 tff(1179,plain,
% 1.03/1.02 (r1(X!0, tptp_fun_Y_2(X!0))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[143, 1177])).
% 1.03/1.02 tff(1180,plain,
% 1.03/1.02 ($false),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[151, 1179, 1178, 1173])).
% 1.03/1.02 tff(1181,plain,((~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | p504(X!0) | p501(X!0) | p502(X!0) | p301(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | p302(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.03/1.02 tff(1182,plain,
% 1.03/1.02 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[1181, 1171, 536, 1170, 163, 1148, 1169])).
% 1.03/1.02 tff(1183,plain,
% 1.03/1.02 (r1(X!0, tptp_fun_Y_6(X!0))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[409, 1182])).
% 1.03/1.02 tff(1184,plain,
% 1.03/1.02 (~p203(tptp_fun_Y_6(X!0))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[407, 1182])).
% 1.03/1.02 tff(1185,plain,
% 1.03/1.02 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[418, 1184, 1183])).
% 1.03/1.02 tff(1186,plain,
% 1.03/1.02 (![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[422, 1185, 381, 951, 1152])).
% 1.03/1.02 tff(1187,plain,
% 1.03/1.02 ((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[130, 1186])).
% 1.03/1.02 tff(1188,plain,
% 1.03/1.02 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[805, 1187])).
% 1.03/1.02 tff(1189,plain,
% 1.03/1.02 (~p305(tptp_fun_Y_2(X!0))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[141, 1188])).
% 1.03/1.02 tff(1190,plain,
% 1.03/1.02 (r1(X!0, tptp_fun_Y_2(X!0))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[143, 1188])).
% 1.03/1.02 tff(1191,plain,
% 1.03/1.02 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[151, 1190, 1189])).
% 1.03/1.02 tff(1192,plain,
% 1.03/1.02 (~p505(X!0)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[1101, 1187])).
% 1.03/1.02 tff(1193,plain,
% 1.03/1.02 (p503(X!0)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[301, 1192, 1171, 536, 1170])).
% 1.03/1.02 tff(1194,plain,
% 1.03/1.02 (~p303(X!0)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[346, 1193])).
% 1.03/1.02 tff(1195,plain,
% 1.03/1.02 ($false),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[208, 1194, 1191, 163, 1148, 1169])).
% 1.03/1.02 tff(1196,plain,(![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p301(X!0) | p501(X!0) | p201(X!0) | p401(X!0) | p605(X!0) | p601(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.03/1.02 tff(1197,plain,
% 1.03/1.02 (![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[1196, 901, 900, 899, 898, 683, 891])).
% 1.03/1.02 tff(1198,plain,
% 1.03/1.02 (p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0)))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[72, 1197])).
% 1.03/1.02 tff(1199,plain,
% 1.03/1.02 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))),
% 1.03/1.02 inference(tautology,[status(thm)],[])).
% 1.03/1.02 tff(1200,plain,
% 1.03/1.02 (![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[1199, 51])).
% 1.03/1.02 tff(1201,plain,
% 1.03/1.02 (((~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))) | ((~r1(X!0, X!0)) | (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))) | (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))) | (~r1(X!0, X!0)) | (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))) | (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))))),
% 1.03/1.02 inference(rewrite,[status(thm)],[])).
% 1.03/1.02 tff(1202,plain,
% 1.03/1.02 ((~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))) | ((~r1(X!0, X!0)) | (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))) | (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))))),
% 1.03/1.02 inference(quant_inst,[status(thm)],[])).
% 1.03/1.02 tff(1203,plain,
% 1.03/1.02 ((~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))))) | (~r1(X!0, X!0)) | (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))) | (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0))))),
% 1.03/1.02 inference(modus_ponens,[status(thm)],[1202, 1201])).
% 1.03/1.02 tff(1204,plain,
% 1.03/1.02 ((~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))) | (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0))))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[1203, 16, 1200])).
% 1.03/1.02 tff(1205,plain,
% 1.03/1.02 (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[1204, 1198])).
% 1.03/1.02 tff(1206,plain,
% 1.03/1.02 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[130, 1205])).
% 1.03/1.02 tff(1207,plain,
% 1.03/1.02 (~p202(X!0)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[950, 891, 683, 900, 901, 898])).
% 1.03/1.02 tff(1208,plain,
% 1.03/1.02 (~p505(X!0)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[717, 1198])).
% 1.03/1.02 tff(1209,assumption,(p302(X!0)), introduced(assumption)).
% 1.03/1.02 tff(1210,plain,
% 1.03/1.02 (~p602(X!0)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[958, 1209])).
% 1.03/1.02 tff(1211,plain,
% 1.03/1.02 (~p502(X!0)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[1024, 1209])).
% 1.03/1.02 tff(1212,assumption,((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0))), introduced(assumption)).
% 1.03/1.02 tff(1213,plain,
% 1.03/1.02 (~p604(X!0)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[839, 1212])).
% 1.03/1.02 tff(1214,plain,
% 1.03/1.02 (p603(X!0)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[699, 1213, 683, 685, 684])).
% 1.03/1.02 tff(1215,plain,
% 1.03/1.02 (~p504(X!0)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[654, 1212])).
% 1.03/1.02 tff(1216,plain,
% 1.03/1.02 (p503(X!0)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[301, 1215, 3, 536, 238])).
% 1.03/1.02 tff(1217,plain,
% 1.03/1.02 ($false),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[757, 1216, 1214])).
% 1.03/1.02 tff(1218,plain,((~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))) | p505(X!0) | p501(X!0) | p502(X!0) | p605(X!0) | p602(X!0) | p601(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.03/1.02 tff(1219,plain,
% 1.03/1.02 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[1218, 1211, 536, 3, 683, 1210, 684])).
% 1.03/1.02 tff(1220,plain,
% 1.03/1.02 (r1(X!0, tptp_fun_Y_8(X!0))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[424, 1219])).
% 1.03/1.02 tff(1221,plain,
% 1.03/1.02 (~p204(tptp_fun_Y_8(X!0))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[392, 1219])).
% 1.03/1.02 tff(1222,plain,
% 1.03/1.02 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[433, 1221, 1220])).
% 1.03/1.02 tff(1223,plain,
% 1.03/1.02 (![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[422, 1222, 381, 2, 165])).
% 1.03/1.02 tff(1224,plain,
% 1.03/1.02 ((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[478, 1223])).
% 1.03/1.02 tff(1225,plain,
% 1.03/1.02 (~p603(X!0)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[824, 1224])).
% 1.03/1.02 tff(1226,plain,
% 1.03/1.02 (p604(X!0)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[699, 1225, 683, 1210, 684])).
% 1.03/1.02 tff(1227,plain,
% 1.03/1.02 (~p503(X!0)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[678, 1224])).
% 1.03/1.02 tff(1228,plain,
% 1.03/1.02 (p504(X!0)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[301, 1227, 3, 536, 1211])).
% 1.03/1.02 tff(1229,plain,
% 1.03/1.02 ($false),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[706, 1228, 1226])).
% 1.03/1.02 tff(1230,plain,((~p302(X!0)) | p505(X!0) | p501(X!0) | p605(X!0) | p601(X!0) | p201(X!0) | p202(X!0) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 1.03/1.02 tff(1231,plain,
% 1.03/1.02 (~p302(X!0)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[1230, 1208, 900, 683, 891, 899, 1207, 1206])).
% 1.03/1.02 tff(1232,plain,
% 1.03/1.02 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[938, 1198])).
% 1.03/1.02 tff(1233,plain,
% 1.03/1.02 (~p305(tptp_fun_Y_2(X!0))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[141, 1232])).
% 1.03/1.02 tff(1234,plain,
% 1.03/1.02 (r1(X!0, tptp_fun_Y_2(X!0))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[143, 1232])).
% 1.03/1.02 tff(1235,plain,
% 1.03/1.02 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[151, 1234, 1233])).
% 1.03/1.02 tff(1236,plain,
% 1.03/1.02 (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[451, 1212])).
% 1.03/1.02 tff(1237,plain,
% 1.03/1.02 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[202, 1236])).
% 1.03/1.02 tff(1238,plain,
% 1.03/1.02 (p303(X!0)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[208, 1237, 163, 162, 5])).
% 1.03/1.02 tff(1239,plain,
% 1.03/1.02 (~p503(X!0)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[346, 1238])).
% 1.03/1.02 tff(1240,plain,
% 1.03/1.02 (p502(X!0)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[301, 1239, 3, 536, 1215])).
% 1.03/1.02 tff(1241,plain,
% 1.03/1.02 (~p603(X!0)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[697, 1238])).
% 1.03/1.02 tff(1242,plain,
% 1.03/1.02 (p602(X!0)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[699, 1241, 683, 1213, 684])).
% 1.03/1.02 tff(1243,plain,
% 1.03/1.02 ($false),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[1015, 1242, 1240])).
% 1.03/1.02 tff(1244,plain,((~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))) | p605(X!0) | p601(X!0) | p505(X!0) | p501(X!0) | p301(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p302(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.03/1.02 tff(1245,plain,
% 1.03/1.02 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[1244, 891, 683, 1208, 900, 901, 1235, 1231])).
% 1.03/1.02 tff(1246,plain,
% 1.03/1.02 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[457, 1245])).
% 1.03/1.02 tff(1247,plain,
% 1.03/1.02 (![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[422, 1246, 899, 1207, 1206])).
% 1.03/1.02 tff(1248,plain,
% 1.03/1.02 ((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[478, 1247])).
% 1.03/1.02 tff(1249,plain,
% 1.03/1.02 (~p503(X!0)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[678, 1248])).
% 1.03/1.02 tff(1250,plain,
% 1.03/1.02 (~p303(X!0)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[405, 1248])).
% 1.03/1.02 tff(1251,plain,
% 1.03/1.02 (![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[208, 1250, 901, 1235, 1231])).
% 1.03/1.02 tff(1252,plain,
% 1.03/1.02 ((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[202, 1251])).
% 1.03/1.02 tff(1253,plain,
% 1.03/1.02 (~p504(X!0)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[299, 1252])).
% 1.03/1.02 tff(1254,plain,
% 1.03/1.02 (p502(X!0)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[301, 1253, 1208, 900, 1249])).
% 1.03/1.02 tff(1255,plain,
% 1.03/1.02 (~p603(X!0)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[824, 1248])).
% 1.03/1.02 tff(1256,plain,
% 1.03/1.02 (~p604(X!0)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[782, 1252])).
% 1.03/1.02 tff(1257,plain,
% 1.03/1.02 (p602(X!0)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[699, 1256, 683, 1255, 891])).
% 1.03/1.02 tff(1258,plain,
% 1.03/1.02 ($false),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[1015, 1257, 1254])).
% 1.03/1.02 tff(1259,plain,((~p101(X!0)) | p605(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.03/1.02 tff(1260,plain,
% 1.03/1.02 (~p101(X!0)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[1259, 683])).
% 1.03/1.02 tff(1261,plain,
% 1.03/1.02 (~p404(X!0)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[336, 876])).
% 1.03/1.02 tff(1262,assumption,(~p404(X!0)), introduced(assumption)).
% 1.03/1.02 tff(1263,assumption,(p602(X!0)), introduced(assumption)).
% 1.03/1.02 tff(1264,plain,
% 1.03/1.02 (~p402(X!0)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[1052, 1263])).
% 1.03/1.02 tff(1265,plain,
% 1.03/1.02 (p403(X!0)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[179, 1264, 164, 4, 1262])).
% 1.03/1.02 tff(1266,plain,
% 1.03/1.02 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[259, 1265])).
% 1.03/1.02 tff(1267,plain,
% 1.03/1.02 (~p103(tptp_fun_Y_7(X!0))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[265, 1266])).
% 1.03/1.02 tff(1268,plain,
% 1.03/1.02 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))),
% 1.03/1.02 inference(tautology,[status(thm)],[])).
% 1.03/1.02 tff(1269,plain,
% 1.03/1.02 (![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[1268, 51])).
% 1.03/1.02 tff(1270,plain,
% 1.03/1.02 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | ((~r1(X!0, X!0)) | (~p602(X!0)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))))) <=> ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | (~r1(X!0, X!0)) | (~p602(X!0)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))))),
% 1.03/1.02 inference(rewrite,[status(thm)],[])).
% 1.03/1.02 tff(1271,plain,
% 1.03/1.02 (((~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p602(X!0)) | (~r1(X!0, X!0))) <=> ((~r1(X!0, X!0)) | (~p602(X!0)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))))),
% 1.03/1.02 inference(rewrite,[status(thm)],[])).
% 1.03/1.02 tff(1272,plain,
% 1.03/1.02 (((~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p602(X!0)) | (~r1(X!0, X!0))) <=> ((~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p602(X!0)) | (~r1(X!0, X!0)))),
% 1.03/1.02 inference(monotonicity,[status(thm)],[504])).
% 1.03/1.02 tff(1273,plain,
% 1.03/1.02 (((~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p602(X!0)) | (~r1(X!0, X!0))) <=> ((~r1(X!0, X!0)) | (~p602(X!0)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))))),
% 1.03/1.02 inference(transitivity,[status(thm)],[1272, 1271])).
% 1.03/1.02 tff(1274,plain,
% 1.03/1.02 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | ((~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p602(X!0)) | (~r1(X!0, X!0)))) <=> ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | ((~r1(X!0, X!0)) | (~p602(X!0)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0))))))),
% 1.03/1.02 inference(monotonicity,[status(thm)],[1273])).
% 1.03/1.02 tff(1275,plain,
% 1.03/1.02 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | ((~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p602(X!0)) | (~r1(X!0, X!0)))) <=> ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | (~r1(X!0, X!0)) | (~p602(X!0)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))))),
% 1.03/1.02 inference(transitivity,[status(thm)],[1274, 1270])).
% 1.03/1.02 tff(1276,plain,
% 1.03/1.02 ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | ((~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p602(X!0)) | (~r1(X!0, X!0)))),
% 1.03/1.02 inference(quant_inst,[status(thm)],[])).
% 1.03/1.02 tff(1277,plain,
% 1.03/1.02 ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | (~r1(X!0, X!0)) | (~p602(X!0)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0))))),
% 1.03/1.03 inference(modus_ponens,[status(thm)],[1276, 1275])).
% 1.03/1.03 tff(1278,plain,
% 1.03/1.03 ((~p602(X!0)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0))))),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[1277, 16, 1269])).
% 1.03/1.03 tff(1279,plain,
% 1.03/1.03 (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[1278, 1263])).
% 1.03/1.03 tff(1280,plain,
% 1.03/1.03 (~p102(tptp_fun_Y_5(X!0))),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[488, 1279])).
% 1.03/1.03 tff(1281,plain,
% 1.03/1.03 (r1(X!0, tptp_fun_Y_5(X!0))),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[486, 1279])).
% 1.03/1.03 tff(1282,plain,
% 1.03/1.03 (~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[496, 1281, 1280])).
% 1.03/1.03 tff(1283,plain,
% 1.03/1.03 (![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[279, 1282, 579, 166, 247])).
% 1.03/1.03 tff(1284,plain,
% 1.03/1.03 (r1(X!0, tptp_fun_Y_7(X!0))),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[263, 1266])).
% 1.03/1.03 tff(1285,plain,
% 1.03/1.03 ($false),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[273, 1284, 1283, 1267])).
% 1.03/1.03 tff(1286,plain,((~p602(X!0)) | p101(X!0) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p401(X!0) | p404(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.03/1.03 tff(1287,plain,
% 1.03/1.03 (~p602(X!0)),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[1286, 880, 166, 1260, 164, 4, 1261])).
% 1.03/1.03 tff(1288,plain,
% 1.03/1.03 (p402(X!0)),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[786, 1287, 683, 684, 164, 4, 163, 5, 536, 238])).
% 1.03/1.03 tff(1289,plain,
% 1.03/1.03 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))),
% 1.03/1.03 inference(tautology,[status(thm)],[])).
% 1.03/1.03 tff(1290,plain,
% 1.03/1.03 (![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[1289, 51])).
% 1.03/1.03 tff(1291,plain,
% 1.03/1.03 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | ((~r1(X!0, X!0)) | (~p402(X!0)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))))) <=> ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~r1(X!0, X!0)) | (~p402(X!0)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))))),
% 1.03/1.03 inference(rewrite,[status(thm)],[])).
% 1.03/1.03 tff(1292,plain,
% 1.03/1.03 (((~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p402(X!0)) | (~r1(X!0, X!0))) <=> ((~r1(X!0, X!0)) | (~p402(X!0)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))))),
% 1.03/1.03 inference(rewrite,[status(thm)],[])).
% 1.03/1.03 tff(1293,plain,
% 1.03/1.03 (((~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p402(X!0)) | (~r1(X!0, X!0))) <=> ((~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p402(X!0)) | (~r1(X!0, X!0)))),
% 1.03/1.03 inference(monotonicity,[status(thm)],[504])).
% 1.03/1.03 tff(1294,plain,
% 1.03/1.03 (((~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p402(X!0)) | (~r1(X!0, X!0))) <=> ((~r1(X!0, X!0)) | (~p402(X!0)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))))),
% 1.03/1.03 inference(transitivity,[status(thm)],[1293, 1292])).
% 1.03/1.03 tff(1295,plain,
% 1.03/1.03 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | ((~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p402(X!0)) | (~r1(X!0, X!0)))) <=> ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | ((~r1(X!0, X!0)) | (~p402(X!0)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0))))))),
% 1.03/1.03 inference(monotonicity,[status(thm)],[1294])).
% 1.03/1.03 tff(1296,plain,
% 1.03/1.03 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | ((~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p402(X!0)) | (~r1(X!0, X!0)))) <=> ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~r1(X!0, X!0)) | (~p402(X!0)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))))),
% 1.03/1.03 inference(transitivity,[status(thm)],[1295, 1291])).
% 1.03/1.03 tff(1297,plain,
% 1.03/1.03 ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | ((~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p402(X!0)) | (~r1(X!0, X!0)))),
% 1.03/1.03 inference(quant_inst,[status(thm)],[])).
% 1.03/1.03 tff(1298,plain,
% 1.03/1.03 ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~r1(X!0, X!0)) | (~p402(X!0)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0))))),
% 1.03/1.03 inference(modus_ponens,[status(thm)],[1297, 1296])).
% 1.03/1.03 tff(1299,plain,
% 1.03/1.03 ((~p402(X!0)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0))))),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[1298, 16, 1290])).
% 1.03/1.03 tff(1300,plain,
% 1.03/1.03 (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[1299, 1288])).
% 1.03/1.03 tff(1301,plain,
% 1.03/1.03 (~p102(tptp_fun_Y_5(X!0))),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[488, 1300])).
% 1.03/1.03 tff(1302,plain,
% 1.03/1.03 (r1(X!0, tptp_fun_Y_5(X!0))),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[486, 1300])).
% 1.03/1.03 tff(1303,plain,
% 1.03/1.03 (~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[496, 1302, 1301])).
% 1.03/1.03 tff(1304,plain,
% 1.03/1.03 (~p604(X!0)),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[706, 876])).
% 1.03/1.03 tff(1305,plain,
% 1.03/1.03 (p603(X!0)),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[699, 1287, 683, 1304, 684])).
% 1.03/1.03 tff(1306,plain,
% 1.03/1.03 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))),
% 1.03/1.03 inference(tautology,[status(thm)],[])).
% 1.03/1.03 tff(1307,plain,
% 1.03/1.03 (![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[1306, 51])).
% 1.03/1.03 tff(1308,plain,
% 1.03/1.03 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~p603(X!0)))) <=> ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~p603(X!0)))),
% 1.03/1.03 inference(rewrite,[status(thm)],[])).
% 1.03/1.03 tff(1309,plain,
% 1.03/1.03 (((~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~r1(X!0, X!0)) | (~p603(X!0))) <=> ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~p603(X!0)))),
% 1.03/1.03 inference(rewrite,[status(thm)],[])).
% 1.03/1.03 tff(1310,plain,
% 1.03/1.03 (((~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~r1(X!0, X!0)) | (~p603(X!0))) <=> ((~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~r1(X!0, X!0)) | (~p603(X!0)))),
% 1.03/1.03 inference(monotonicity,[status(thm)],[252])).
% 1.03/1.03 tff(1311,plain,
% 1.03/1.03 (((~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~r1(X!0, X!0)) | (~p603(X!0))) <=> ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~p603(X!0)))),
% 1.03/1.03 inference(transitivity,[status(thm)],[1310, 1309])).
% 1.03/1.03 tff(1312,plain,
% 1.03/1.03 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | ((~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~r1(X!0, X!0)) | (~p603(X!0)))) <=> ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~p603(X!0))))),
% 1.03/1.03 inference(monotonicity,[status(thm)],[1311])).
% 1.03/1.03 tff(1313,plain,
% 1.03/1.03 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | ((~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~r1(X!0, X!0)) | (~p603(X!0)))) <=> ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~p603(X!0)))),
% 1.03/1.03 inference(transitivity,[status(thm)],[1312, 1308])).
% 1.03/1.03 tff(1314,plain,
% 1.03/1.03 ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | ((~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~r1(X!0, X!0)) | (~p603(X!0)))),
% 1.03/1.03 inference(quant_inst,[status(thm)],[])).
% 1.03/1.03 tff(1315,plain,
% 1.03/1.03 ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~p603(X!0))),
% 1.03/1.03 inference(modus_ponens,[status(thm)],[1314, 1313])).
% 1.03/1.03 tff(1316,plain,
% 1.03/1.03 ((~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~p603(X!0))),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[1315, 16, 1307])).
% 1.03/1.03 tff(1317,plain,
% 1.03/1.03 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[1316, 1305])).
% 1.03/1.03 tff(1318,plain,
% 1.03/1.03 (~p103(tptp_fun_Y_7(X!0))),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[265, 1317])).
% 1.03/1.03 tff(1319,plain,
% 1.03/1.03 (r1(X!0, tptp_fun_Y_7(X!0))),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[263, 1317])).
% 1.03/1.03 tff(1320,plain,
% 1.03/1.03 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[273, 1319, 1318])).
% 1.03/1.03 tff(1321,plain,
% 1.03/1.03 ($false),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[279, 1320, 1303, 1260, 166, 880])).
% 1.03/1.03 tff(1322,plain,((~p504(X!0)) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | p605(X!0) | p601(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p401(X!0) | p301(X!0) | p302(X!0) | p501(X!0) | p502(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.03/1.03 tff(1323,plain,
% 1.03/1.03 (~p504(X!0)),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[1322, 875, 683, 684, 164, 4, 163, 5, 536, 238])).
% 1.03/1.03 tff(1324,plain,
% 1.03/1.03 (p503(X!0)),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[301, 1323, 3, 536, 238])).
% 1.03/1.03 tff(1325,plain,
% 1.03/1.03 (~p603(X!0)),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[757, 1324])).
% 1.03/1.03 tff(1326,plain,
% 1.03/1.03 (~p403(X!0)),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[245, 1324])).
% 1.03/1.03 tff(1327,plain,
% 1.03/1.03 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[640, 1324])).
% 1.03/1.03 tff(1328,plain,
% 1.03/1.03 (~p103(tptp_fun_Y_7(X!0))),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[265, 1327])).
% 1.03/1.03 tff(1329,plain,
% 1.03/1.03 (r1(X!0, tptp_fun_Y_7(X!0))),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[263, 1327])).
% 1.03/1.03 tff(1330,plain,
% 1.03/1.03 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[273, 1329, 1328])).
% 1.03/1.03 tff(1331,assumption,(~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))), introduced(assumption)).
% 1.03/1.03 tff(1332,plain,
% 1.03/1.03 (p602(X!0)),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[761, 6, 536, 164, 3, 238, 683, 4, 684])).
% 1.03/1.03 tff(1333,plain,
% 1.03/1.03 (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[1278, 1332])).
% 1.03/1.03 tff(1334,plain,
% 1.03/1.03 (~p102(tptp_fun_Y_5(X!0))),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[488, 1333])).
% 1.03/1.03 tff(1335,plain,
% 1.03/1.03 (r1(X!0, tptp_fun_Y_5(X!0))),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[486, 1333])).
% 1.03/1.03 tff(1336,plain,
% 1.03/1.03 (~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[496, 1335, 1334])).
% 1.03/1.03 tff(1337,assumption,(~p403(X!0)), introduced(assumption)).
% 1.03/1.03 tff(1338,plain,
% 1.03/1.03 (p404(X!0)),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[179, 6, 164, 4, 1337])).
% 1.03/1.03 tff(1339,plain,
% 1.03/1.03 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[173, 1338])).
% 1.03/1.03 tff(1340,plain,
% 1.03/1.03 (~p104(tptp_fun_Y_9(X!0))),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[226, 1339])).
% 1.03/1.03 tff(1341,plain,
% 1.03/1.03 (r1(X!0, tptp_fun_Y_9(X!0))),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[224, 1339])).
% 1.03/1.03 tff(1342,plain,
% 1.03/1.03 (~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[234, 1341, 1340])).
% 1.03/1.03 tff(1343,plain,
% 1.03/1.03 ($false),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[279, 1342, 1336, 1260, 166, 1331])).
% 1.03/1.03 tff(1344,plain,(p402(X!0) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p401(X!0) | p403(X!0) | p501(X!0) | p505(X!0) | p502(X!0) | p605(X!0) | p601(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.03/1.03 tff(1345,plain,
% 1.03/1.03 (p402(X!0)),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[1344, 875, 1330, 164, 4, 1326, 536, 3, 238, 683, 684])).
% 1.03/1.03 tff(1346,plain,
% 1.03/1.03 (~p602(X!0)),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[1052, 1345])).
% 1.03/1.03 tff(1347,plain,
% 1.03/1.03 (p604(X!0)),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[699, 1346, 683, 1325, 684])).
% 1.03/1.03 tff(1348,plain,
% 1.03/1.03 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))),
% 1.03/1.03 inference(tautology,[status(thm)],[])).
% 1.03/1.03 tff(1349,plain,
% 1.03/1.03 (![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[1348, 51])).
% 1.03/1.03 tff(1350,plain,
% 1.03/1.03 (((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))) | (~p604(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))) | (~p604(X!0)))),
% 1.03/1.04 inference(rewrite,[status(thm)],[])).
% 1.03/1.04 tff(1351,plain,
% 1.03/1.04 ((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))) | (~p604(X!0)))),
% 1.03/1.04 inference(quant_inst,[status(thm)],[])).
% 1.03/1.04 tff(1352,plain,
% 1.03/1.04 ((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))) | (~p604(X!0))),
% 1.03/1.04 inference(modus_ponens,[status(thm)],[1351, 1350])).
% 1.03/1.04 tff(1353,plain,
% 1.03/1.04 ((~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))) | (~p604(X!0))),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[1352, 16, 1349])).
% 1.03/1.04 tff(1354,plain,
% 1.03/1.04 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[1353, 1347])).
% 1.03/1.04 tff(1355,plain,
% 1.03/1.04 (~p104(tptp_fun_Y_9(X!0))),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[226, 1354])).
% 1.03/1.04 tff(1356,plain,
% 1.03/1.04 (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[1299, 1345])).
% 1.03/1.04 tff(1357,plain,
% 1.03/1.04 (~p102(tptp_fun_Y_5(X!0))),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[488, 1356])).
% 1.03/1.04 tff(1358,plain,
% 1.03/1.04 (r1(X!0, tptp_fun_Y_5(X!0))),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[486, 1356])).
% 1.03/1.04 tff(1359,plain,
% 1.03/1.04 (~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[496, 1358, 1357])).
% 1.03/1.04 tff(1360,plain,
% 1.03/1.04 (![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[279, 1359, 1260, 875, 1330])).
% 1.03/1.04 tff(1361,plain,
% 1.03/1.04 (r1(X!0, tptp_fun_Y_9(X!0))),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[224, 1354])).
% 1.03/1.04 tff(1362,plain,
% 1.03/1.04 ($false),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[234, 1361, 1360, 1355])).
% 1.03/1.04 tff(1363,plain,(p301(X!0) | p605(X!0) | p601(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p401(X!0) | p501(X!0) | p505(X!0) | p502(X!0) | p302(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | p303(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.03/1.04 tff(1364,plain,
% 1.03/1.04 (p301(X!0)),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[1363, 4, 684, 164, 683, 536, 3, 238, 5, 789, 860])).
% 1.03/1.04 tff(1365,plain,
% 1.03/1.04 (~p201(X!0)),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[567, 1364])).
% 1.03/1.04 tff(1366,plain,
% 1.03/1.04 (~p202(X!0)),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[924, 1332])).
% 1.03/1.04 tff(1367,plain,
% 1.03/1.04 (![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[422, 1366, 859, 607, 381])).
% 1.03/1.04 tff(1368,plain,
% 1.03/1.04 ((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0))),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[130, 1367])).
% 1.03/1.04 tff(1369,plain,
% 1.03/1.04 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))),
% 1.03/1.04 inference(tautology,[status(thm)],[])).
% 1.03/1.04 tff(1370,plain,
% 1.03/1.04 (![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[1369, 51])).
% 1.03/1.04 tff(1371,plain,
% 1.03/1.04 (((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))) | (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))) | (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))))),
% 1.03/1.04 inference(rewrite,[status(thm)],[])).
% 1.03/1.04 tff(1372,plain,
% 1.03/1.04 ((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))) | (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))))),
% 1.03/1.04 inference(quant_inst,[status(thm)],[])).
% 1.03/1.04 tff(1373,plain,
% 1.03/1.04 ((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))) | (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0))))),
% 1.03/1.04 inference(modus_ponens,[status(thm)],[1372, 1371])).
% 1.03/1.04 tff(1374,plain,
% 1.03/1.04 ((~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))) | (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0))))),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[1373, 16, 1370])).
% 1.03/1.04 tff(1375,plain,
% 1.03/1.04 (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[1374, 1368])).
% 1.03/1.04 tff(1376,plain,
% 1.03/1.04 (~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[101, 1375])).
% 1.03/1.04 tff(1377,plain,
% 1.03/1.04 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[640, 960])).
% 1.03/1.04 tff(1378,plain,
% 1.03/1.04 (~p103(tptp_fun_Y_7(X!0))),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[265, 1377])).
% 1.03/1.04 tff(1379,plain,
% 1.03/1.04 (![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[1344, 963, 6, 164, 4, 166, 536, 3, 238, 683, 684])).
% 1.03/1.04 tff(1380,plain,
% 1.03/1.04 (r1(X!0, tptp_fun_Y_7(X!0))),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[263, 1377])).
% 1.03/1.04 tff(1381,plain,
% 1.03/1.04 ($false),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[273, 1380, 1379, 1378])).
% 1.03/1.04 tff(1382,plain,((~p503(X!0)) | p402(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p401(X!0) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | p501(X!0) | p505(X!0) | p502(X!0) | p605(X!0) | p601(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.03/1.04 tff(1383,plain,
% 1.03/1.04 (~p503(X!0)),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[1382, 6, 164, 4, 1376, 536, 3, 238, 683, 684])).
% 1.03/1.04 tff(1384,plain,
% 1.03/1.04 (p504(X!0)),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[301, 1383, 3, 536, 238])).
% 1.03/1.04 tff(1385,plain,
% 1.03/1.04 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[604, 1384])).
% 1.03/1.04 tff(1386,plain,
% 1.03/1.04 (~p104(tptp_fun_Y_9(X!0))),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[226, 1385])).
% 1.03/1.04 tff(1387,plain,
% 1.03/1.04 (r1(X!0, tptp_fun_Y_9(X!0))),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[224, 1385])).
% 1.03/1.04 tff(1388,plain,
% 1.03/1.04 (~p404(X!0)),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[336, 1384])).
% 1.03/1.04 tff(1389,plain,
% 1.03/1.04 (![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[1286, 1388, 1376, 1260, 164, 4, 1332])).
% 1.03/1.04 tff(1390,plain,
% 1.03/1.04 ($false),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[234, 1389, 1387, 1386])).
% 1.03/1.04 tff(1391,plain,(p402(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p401(X!0) | p505(X!0) | p501(X!0) | p502(X!0) | p605(X!0) | p601(X!0) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | p201(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.03/1.04 tff(1392,plain,
% 1.03/1.04 (p402(X!0)),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[1391, 4, 164, 3, 536, 238, 683, 684, 859, 607, 1365])).
% 1.03/1.04 tff(1393,plain,
% 1.03/1.04 (~p602(X!0)),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[1052, 1392])).
% 1.03/1.04 tff(1394,plain,
% 1.03/1.04 (~p202(X!0)),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[917, 1392])).
% 1.03/1.04 tff(1395,plain,
% 1.03/1.04 (![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[422, 1394, 859, 607, 1365])).
% 1.03/1.04 tff(1396,plain,
% 1.03/1.04 ((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0))),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[130, 1395])).
% 1.03/1.04 tff(1397,plain,
% 1.03/1.04 (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[1374, 1396])).
% 1.03/1.04 tff(1398,plain,
% 1.03/1.04 (~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[101, 1397])).
% 1.03/1.04 tff(1399,plain,
% 1.03/1.04 (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[1299, 1392])).
% 1.03/1.04 tff(1400,plain,
% 1.03/1.04 (~p102(tptp_fun_Y_5(X!0))),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[488, 1399])).
% 1.03/1.04 tff(1401,plain,
% 1.03/1.04 (r1(X!0, tptp_fun_Y_5(X!0))),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[486, 1399])).
% 1.03/1.04 tff(1402,plain,
% 1.03/1.04 (~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[496, 1401, 1400])).
% 1.03/1.04 tff(1403,plain,
% 1.03/1.04 (p603(X!0)),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[699, 1304, 683, 685, 684])).
% 1.03/1.04 tff(1404,plain,
% 1.03/1.04 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[1316, 1403])).
% 1.03/1.04 tff(1405,plain,
% 1.03/1.04 (~p103(tptp_fun_Y_7(X!0))),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[265, 1404])).
% 1.03/1.04 tff(1406,plain,
% 1.03/1.04 (![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[279, 880, 1260, 1, 166])).
% 1.03/1.04 tff(1407,plain,
% 1.03/1.04 (r1(X!0, tptp_fun_Y_7(X!0))),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[263, 1404])).
% 1.03/1.04 tff(1408,plain,
% 1.03/1.04 ($false),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[273, 1407, 1406, 1405])).
% 1.03/1.04 tff(1409,plain,((~p504(X!0)) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | p605(X!0) | p602(X!0) | p601(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.03/1.04 tff(1410,plain,
% 1.03/1.04 (~p504(X!0)),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[1409, 1402, 1398, 683, 1393, 684])).
% 1.03/1.04 tff(1411,plain,
% 1.03/1.04 (p503(X!0)),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[301, 1410, 3, 536, 238])).
% 1.03/1.04 tff(1412,plain,
% 1.03/1.04 (~p603(X!0)),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[757, 1411])).
% 1.03/1.04 tff(1413,plain,
% 1.03/1.04 (p604(X!0)),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[699, 1412, 683, 1393, 684])).
% 1.03/1.04 tff(1414,plain,
% 1.03/1.04 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[1353, 1413])).
% 1.03/1.04 tff(1415,plain,
% 1.03/1.04 (~p104(tptp_fun_Y_9(X!0))),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[226, 1414])).
% 1.03/1.04 tff(1416,plain,
% 1.03/1.04 (r1(X!0, tptp_fun_Y_9(X!0))),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[224, 1414])).
% 1.03/1.04 tff(1417,plain,
% 1.03/1.04 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[640, 1411])).
% 1.03/1.04 tff(1418,plain,
% 1.03/1.04 (~p103(tptp_fun_Y_7(X!0))),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[265, 1417])).
% 1.03/1.04 tff(1419,plain,
% 1.03/1.04 (r1(X!0, tptp_fun_Y_7(X!0))),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[263, 1417])).
% 1.03/1.04 tff(1420,plain,
% 1.03/1.04 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[273, 1419, 1418])).
% 1.03/1.04 tff(1421,plain,
% 1.03/1.04 (![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[279, 1420, 1260, 1402, 1398])).
% 1.03/1.04 tff(1422,plain,
% 1.03/1.04 ($false),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[234, 1421, 1416, 1415])).
% 1.03/1.04 tff(1423,plain,(p401(X!0) | p605(X!0) | p601(X!0) | p505(X!0) | p501(X!0) | p502(X!0) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p302(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | p303(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.03/1.04 tff(1424,plain,
% 1.03/1.04 (p401(X!0)),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[1423, 860, 684, 3, 536, 238, 859, 607, 164, 5, 789, 683])).
% 1.03/1.04 tff(1425,plain,
% 1.03/1.04 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))),
% 1.03/1.04 inference(tautology,[status(thm)],[])).
% 1.03/1.04 tff(1426,plain,
% 1.03/1.04 (![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[1425, 51])).
% 1.03/1.04 tff(1427,plain,
% 1.03/1.04 (((~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | ((~r1(X!0, X!0)) | (~p401(X!0)) | (~p201(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~r1(X!0, X!0)) | (~p401(X!0)) | (~p201(X!0)))),
% 1.03/1.04 inference(rewrite,[status(thm)],[])).
% 1.03/1.04 tff(1428,plain,
% 1.03/1.04 (((~r1(X!0, X!0)) | (~p201(X!0)) | (~p401(X!0))) <=> ((~r1(X!0, X!0)) | (~p401(X!0)) | (~p201(X!0)))),
% 1.03/1.04 inference(rewrite,[status(thm)],[])).
% 1.03/1.04 tff(1429,plain,
% 1.03/1.04 (((~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | ((~r1(X!0, X!0)) | (~p201(X!0)) | (~p401(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | ((~r1(X!0, X!0)) | (~p401(X!0)) | (~p201(X!0))))),
% 1.03/1.04 inference(monotonicity,[status(thm)],[1428])).
% 1.03/1.04 tff(1430,plain,
% 1.03/1.04 (((~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | ((~r1(X!0, X!0)) | (~p201(X!0)) | (~p401(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~r1(X!0, X!0)) | (~p401(X!0)) | (~p201(X!0)))),
% 1.03/1.04 inference(transitivity,[status(thm)],[1429, 1427])).
% 1.03/1.04 tff(1431,plain,
% 1.03/1.04 ((~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | ((~r1(X!0, X!0)) | (~p201(X!0)) | (~p401(X!0)))),
% 1.03/1.04 inference(quant_inst,[status(thm)],[])).
% 1.03/1.04 tff(1432,plain,
% 1.03/1.04 ((~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~r1(X!0, X!0)) | (~p401(X!0)) | (~p201(X!0))),
% 1.03/1.04 inference(modus_ponens,[status(thm)],[1431, 1430])).
% 1.03/1.04 tff(1433,plain,
% 1.03/1.04 ((~p401(X!0)) | (~p201(X!0))),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[1432, 16, 1426])).
% 1.03/1.04 tff(1434,plain,
% 1.03/1.04 (~p201(X!0)),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[1433, 1424])).
% 1.03/1.04 tff(1435,plain,
% 1.03/1.04 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))),
% 1.03/1.04 inference(tautology,[status(thm)],[])).
% 1.03/1.04 tff(1436,plain,
% 1.03/1.04 (![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[1435, 51])).
% 1.03/1.04 tff(1437,plain,
% 1.03/1.04 (((~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | ((~r1(X!0, X!0)) | (~p401(X!0)) | (~p301(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~r1(X!0, X!0)) | (~p401(X!0)) | (~p301(X!0)))),
% 1.03/1.04 inference(rewrite,[status(thm)],[])).
% 1.03/1.04 tff(1438,plain,
% 1.03/1.04 (((~r1(X!0, X!0)) | (~p301(X!0)) | (~p401(X!0))) <=> ((~r1(X!0, X!0)) | (~p401(X!0)) | (~p301(X!0)))),
% 1.03/1.04 inference(rewrite,[status(thm)],[])).
% 1.03/1.04 tff(1439,plain,
% 1.03/1.04 (((~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | ((~r1(X!0, X!0)) | (~p301(X!0)) | (~p401(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | ((~r1(X!0, X!0)) | (~p401(X!0)) | (~p301(X!0))))),
% 1.03/1.04 inference(monotonicity,[status(thm)],[1438])).
% 1.03/1.04 tff(1440,plain,
% 1.03/1.04 (((~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | ((~r1(X!0, X!0)) | (~p301(X!0)) | (~p401(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~r1(X!0, X!0)) | (~p401(X!0)) | (~p301(X!0)))),
% 1.03/1.04 inference(transitivity,[status(thm)],[1439, 1437])).
% 1.03/1.04 tff(1441,plain,
% 1.03/1.04 ((~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | ((~r1(X!0, X!0)) | (~p301(X!0)) | (~p401(X!0)))),
% 1.03/1.04 inference(quant_inst,[status(thm)],[])).
% 1.03/1.04 tff(1442,plain,
% 1.03/1.04 ((~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~r1(X!0, X!0)) | (~p401(X!0)) | (~p301(X!0))),
% 1.03/1.04 inference(modus_ponens,[status(thm)],[1441, 1440])).
% 1.03/1.04 tff(1443,plain,
% 1.03/1.04 ((~p401(X!0)) | (~p301(X!0))),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[1442, 16, 1436])).
% 1.03/1.04 tff(1444,plain,
% 1.03/1.04 (~p301(X!0)),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[1443, 1424])).
% 1.03/1.04 tff(1445,plain,
% 1.03/1.04 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[208, 1444, 789, 860, 5])).
% 1.03/1.04 tff(1446,plain,
% 1.03/1.04 (p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0)))),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[153, 1445])).
% 1.03/1.04 tff(1447,plain,
% 1.03/1.04 (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[805, 1446])).
% 1.03/1.04 tff(1448,plain,
% 1.03/1.04 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[130, 1447])).
% 1.03/1.04 tff(1449,plain,
% 1.03/1.04 (p202(X!0)),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[422, 1448, 859, 607, 1434])).
% 1.03/1.04 tff(1450,plain,
% 1.03/1.04 (~p602(X!0)),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[924, 1449])).
% 1.03/1.04 tff(1451,plain,
% 1.03/1.04 (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[873, 1446])).
% 1.03/1.04 tff(1452,plain,
% 1.03/1.04 (~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[101, 1451])).
% 1.03/1.04 tff(1453,plain,
% 1.03/1.04 (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[511, 1449])).
% 1.03/1.04 tff(1454,plain,
% 1.03/1.04 (~p102(tptp_fun_Y_5(X!0))),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[488, 1453])).
% 1.03/1.04 tff(1455,plain,
% 1.03/1.04 (r1(X!0, tptp_fun_Y_5(X!0))),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[486, 1453])).
% 1.03/1.04 tff(1456,plain,
% 1.03/1.04 (~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[496, 1455, 1454])).
% 1.03/1.04 tff(1457,plain,
% 1.03/1.04 (~p504(X!0)),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[1409, 1456, 1452, 683, 1450, 684])).
% 1.03/1.04 tff(1458,plain,
% 1.03/1.04 (p503(X!0)),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[301, 1457, 3, 536, 238])).
% 1.03/1.04 tff(1459,plain,
% 1.03/1.04 (~p603(X!0)),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[757, 1458])).
% 1.03/1.04 tff(1460,plain,
% 1.03/1.04 (p604(X!0)),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[699, 1459, 683, 1450, 684])).
% 1.03/1.04 tff(1461,plain,
% 1.03/1.04 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[1353, 1460])).
% 1.03/1.05 tff(1462,plain,
% 1.03/1.05 (~p104(tptp_fun_Y_9(X!0))),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[226, 1461])).
% 1.03/1.05 tff(1463,plain,
% 1.03/1.05 (r1(X!0, tptp_fun_Y_9(X!0))),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[224, 1461])).
% 1.03/1.05 tff(1464,plain,
% 1.03/1.05 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[640, 1458])).
% 1.03/1.05 tff(1465,plain,
% 1.03/1.05 (~p103(tptp_fun_Y_7(X!0))),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[265, 1464])).
% 1.03/1.05 tff(1466,plain,
% 1.03/1.05 (r1(X!0, tptp_fun_Y_7(X!0))),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[263, 1464])).
% 1.03/1.05 tff(1467,plain,
% 1.03/1.05 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[273, 1466, 1465])).
% 1.03/1.05 tff(1468,plain,
% 1.03/1.05 (![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[279, 1467, 1260, 1456, 1452])).
% 1.03/1.05 tff(1469,plain,
% 1.03/1.05 ($false),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[234, 1468, 1463, 1462])).
% 1.03/1.05 tff(1470,plain,(p303(X!0) | p605(X!0) | p601(X!0) | p505(X!0) | p501(X!0) | p502(X!0) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | p302(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 1.03/1.05 tff(1471,plain,
% 1.03/1.05 (p303(X!0)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[1470, 164, 684, 3, 536, 238, 859, 607, 789, 5, 683])).
% 1.03/1.05 tff(1472,plain,
% 1.03/1.05 (~p503(X!0)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[346, 1471])).
% 1.03/1.05 tff(1473,plain,
% 1.03/1.05 (p504(X!0)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[301, 1472, 3, 536, 238])).
% 1.03/1.05 tff(1474,plain,
% 1.03/1.05 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[604, 1473])).
% 1.03/1.05 tff(1475,plain,
% 1.03/1.05 (~p104(tptp_fun_Y_9(X!0))),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[226, 1474])).
% 1.03/1.05 tff(1476,plain,
% 1.03/1.05 (r1(X!0, tptp_fun_Y_9(X!0))),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[224, 1474])).
% 1.03/1.05 tff(1477,plain,
% 1.03/1.05 (~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[234, 1476, 1475])).
% 1.03/1.05 tff(1478,plain,
% 1.03/1.05 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[325, 1471])).
% 1.03/1.05 tff(1479,plain,
% 1.03/1.05 (~p103(tptp_fun_Y_7(X!0))),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[265, 1478])).
% 1.03/1.05 tff(1480,plain,
% 1.03/1.05 (r1(X!0, tptp_fun_Y_7(X!0))),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[263, 1478])).
% 1.03/1.05 tff(1481,plain,
% 1.03/1.05 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[273, 1480, 1479])).
% 1.03/1.05 tff(1482,plain,
% 1.03/1.05 (~p603(X!0)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[697, 1471])).
% 1.03/1.05 tff(1483,plain,
% 1.03/1.05 (~p604(X!0)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[706, 1473])).
% 1.03/1.05 tff(1484,plain,
% 1.03/1.05 (p602(X!0)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[699, 1483, 683, 1482, 684])).
% 1.03/1.05 tff(1485,plain,
% 1.03/1.05 (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[1278, 1484])).
% 1.03/1.05 tff(1486,plain,
% 1.03/1.05 (~p102(tptp_fun_Y_5(X!0))),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[488, 1485])).
% 1.03/1.05 tff(1487,plain,
% 1.03/1.05 (r1(X!0, tptp_fun_Y_5(X!0))),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[486, 1485])).
% 1.03/1.05 tff(1488,plain,
% 1.03/1.05 (~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[496, 1487, 1486])).
% 1.03/1.05 tff(1489,plain,
% 1.03/1.05 (![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[279, 1488, 1260, 1481, 1477])).
% 1.03/1.05 tff(1490,plain,
% 1.03/1.05 ((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0))),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[101, 1489])).
% 1.03/1.05 tff(1491,plain,
% 1.03/1.05 (~p202(X!0)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[924, 1484])).
% 1.03/1.05 tff(1492,plain,
% 1.03/1.05 (~p404(X!0)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[336, 1473])).
% 1.03/1.05 tff(1493,plain,
% 1.03/1.05 (~p403(X!0)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[218, 1471])).
% 1.03/1.05 tff(1494,plain,
% 1.03/1.05 (~p402(X!0)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[1052, 1484])).
% 1.03/1.05 tff(1495,plain,
% 1.03/1.05 (p401(X!0)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[179, 1494, 164, 1493, 1492])).
% 1.03/1.05 tff(1496,plain,
% 1.03/1.05 (~p201(X!0)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[1433, 1495])).
% 1.03/1.05 tff(1497,plain,
% 1.03/1.05 (![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[422, 1496, 859, 607, 1491])).
% 1.03/1.05 tff(1498,plain,
% 1.03/1.05 ((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0))),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[130, 1497])).
% 1.03/1.05 tff(1499,plain,
% 1.03/1.05 ($false),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[1374, 1498, 1490])).
% 1.03/1.05 tff(1500,plain,(![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | p605(X!0) | p601(X!0) | p505(X!0) | p501(X!0) | p502(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | p302(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.03/1.05 tff(1501,plain,
% 1.03/1.05 (![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[1500, 684, 607, 683, 859, 3, 536, 238, 789, 5])).
% 1.03/1.05 tff(1502,plain,
% 1.03/1.05 (p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0)))),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[72, 1501])).
% 1.03/1.05 tff(1503,plain,
% 1.03/1.05 (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[1204, 1502])).
% 1.03/1.05 tff(1504,plain,
% 1.03/1.05 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[130, 1503])).
% 1.03/1.05 tff(1505,plain,
% 1.03/1.05 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[938, 1502])).
% 1.03/1.05 tff(1506,plain,
% 1.03/1.05 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[153, 1505])).
% 1.03/1.05 tff(1507,plain,
% 1.03/1.05 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))),
% 1.03/1.05 inference(tautology,[status(thm)],[])).
% 1.03/1.05 tff(1508,plain,
% 1.03/1.05 (![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[1507, 51])).
% 1.03/1.05 tff(1509,plain,
% 1.03/1.05 (((~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | ((~r1(X!0, X!0)) | (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))) | (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~r1(X!0, X!0)) | (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))) | (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))))),
% 1.03/1.05 inference(rewrite,[status(thm)],[])).
% 1.03/1.05 tff(1510,plain,
% 1.03/1.05 ((~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | ((~r1(X!0, X!0)) | (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))) | (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))))),
% 1.03/1.05 inference(quant_inst,[status(thm)],[])).
% 1.03/1.05 tff(1511,plain,
% 1.03/1.05 ((~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~r1(X!0, X!0)) | (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))) | (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0))))),
% 1.03/1.05 inference(modus_ponens,[status(thm)],[1510, 1509])).
% 1.03/1.05 tff(1512,plain,
% 1.03/1.05 ((~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))) | (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0))))),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[1511, 16, 1508])).
% 1.03/1.05 tff(1513,plain,
% 1.03/1.05 (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[1512, 1502])).
% 1.03/1.05 tff(1514,plain,
% 1.03/1.05 (~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[101, 1513])).
% 1.03/1.05 tff(1515,plain,
% 1.03/1.05 (~p202(X!0)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[924, 1263])).
% 1.03/1.05 tff(1516,plain,
% 1.03/1.05 (p201(X!0)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[422, 1515, 859, 607, 165])).
% 1.03/1.05 tff(1517,plain,
% 1.03/1.05 (~p301(X!0)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[567, 1516])).
% 1.03/1.05 tff(1518,plain,
% 1.03/1.05 (p303(X!0)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[208, 1517, 789, 162, 5])).
% 1.03/1.05 tff(1519,plain,
% 1.03/1.05 (~p503(X!0)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[346, 1518])).
% 1.03/1.05 tff(1520,plain,
% 1.03/1.05 (p504(X!0)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[301, 1519, 3, 536, 238])).
% 1.03/1.05 tff(1521,plain,
% 1.03/1.05 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[604, 1520])).
% 1.03/1.05 tff(1522,plain,
% 1.03/1.05 (~p104(tptp_fun_Y_9(X!0))),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[226, 1521])).
% 1.03/1.05 tff(1523,plain,
% 1.03/1.05 (r1(X!0, tptp_fun_Y_9(X!0))),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[224, 1521])).
% 1.03/1.05 tff(1524,plain,
% 1.03/1.05 (~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[498, 1279])).
% 1.03/1.05 tff(1525,plain,
% 1.03/1.05 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[325, 1518])).
% 1.03/1.05 tff(1526,plain,
% 1.03/1.05 (~p103(tptp_fun_Y_7(X!0))),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[265, 1525])).
% 1.03/1.05 tff(1527,plain,
% 1.03/1.05 (r1(X!0, tptp_fun_Y_7(X!0))),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[263, 1525])).
% 1.03/1.05 tff(1528,plain,
% 1.03/1.05 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[273, 1527, 1526])).
% 1.03/1.05 tff(1529,plain,
% 1.03/1.05 (![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[279, 1528, 579, 166, 1524])).
% 1.03/1.05 tff(1530,plain,
% 1.03/1.05 ($false),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[234, 1529, 1523, 1522])).
% 1.03/1.05 tff(1531,plain,((~p602(X!0)) | p101(X!0) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | p505(X!0) | p501(X!0) | p502(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p302(X!0) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 1.03/1.05 tff(1532,plain,
% 1.03/1.05 (~p602(X!0)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[1531, 1514, 1260, 3, 536, 238, 789, 1506, 5, 859, 607, 1504])).
% 1.03/1.05 tff(1533,plain,
% 1.03/1.05 (~p504(X!0)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[1409, 1, 166, 683, 685, 684])).
% 1.03/1.05 tff(1534,plain,
% 1.03/1.05 (p503(X!0)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[301, 1533, 3, 536, 238])).
% 1.03/1.05 tff(1535,plain,
% 1.03/1.05 (~p603(X!0)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[757, 1534])).
% 1.03/1.05 tff(1536,plain,
% 1.03/1.05 (p604(X!0)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[699, 1535, 683, 685, 684])).
% 1.03/1.05 tff(1537,plain,
% 1.03/1.05 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[1353, 1536])).
% 1.03/1.05 tff(1538,plain,
% 1.03/1.05 (~p104(tptp_fun_Y_9(X!0))),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[226, 1537])).
% 1.03/1.05 tff(1539,plain,
% 1.03/1.05 (r1(X!0, tptp_fun_Y_9(X!0))),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[224, 1537])).
% 1.03/1.05 tff(1540,plain,
% 1.03/1.05 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[640, 1534])).
% 1.03/1.05 tff(1541,plain,
% 1.03/1.05 (~p103(tptp_fun_Y_7(X!0))),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[265, 1540])).
% 1.03/1.05 tff(1542,plain,
% 1.03/1.05 (r1(X!0, tptp_fun_Y_7(X!0))),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[263, 1540])).
% 1.03/1.05 tff(1543,plain,
% 1.03/1.05 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[273, 1542, 1541])).
% 1.03/1.05 tff(1544,plain,
% 1.03/1.05 (![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[279, 1543, 1260, 166, 1])).
% 1.03/1.05 tff(1545,plain,
% 1.03/1.05 ($false),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[234, 1544, 1539, 1538])).
% 1.03/1.05 tff(1546,plain,(![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | p605(X!0) | p602(X!0) | p601(X!0) | p505(X!0) | p501(X!0) | p502(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.03/1.05 tff(1547,plain,
% 1.03/1.05 (![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[1546, 685, 683, 1514, 684, 3, 536, 238])).
% 1.03/1.05 tff(1548,plain,
% 1.03/1.05 ((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0))),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[498, 1547])).
% 1.03/1.05 tff(1549,plain,
% 1.03/1.05 (~p202(X!0)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[511, 1548])).
% 1.03/1.05 tff(1550,plain,
% 1.03/1.05 (p201(X!0)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[422, 1549, 859, 607, 1504])).
% 1.03/1.05 tff(1551,plain,
% 1.03/1.05 (~p402(X!0)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[1299, 1548])).
% 1.03/1.05 tff(1552,plain,
% 1.03/1.05 (~p303(X!0)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[730, 1551, 4, 685, 536, 683, 238, 684])).
% 1.03/1.05 tff(1553,plain,
% 1.03/1.05 (p301(X!0)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[208, 1552, 789, 1506, 5])).
% 1.03/1.05 tff(1554,plain,
% 1.03/1.05 ($false),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[567, 1553, 1550])).
% 1.03/1.05 tff(1555,plain,(p602(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | p302(X!0) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | p401(X!0) | p501(X!0) | p605(X!0) | p502(X!0) | p601(X!0) | p505(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.03/1.05 tff(1556,plain,
% 1.03/1.05 (p401(X!0)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[1555, 1532, 5, 859, 607, 789, 536, 683, 238, 684, 3])).
% 1.03/1.05 tff(1557,plain,
% 1.03/1.05 (~p201(X!0)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[1433, 1556])).
% 1.03/1.05 tff(1558,plain,
% 1.03/1.05 (![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[1546, 1532, 683, 1514, 684, 3, 536, 238])).
% 1.03/1.05 tff(1559,plain,
% 1.03/1.05 ((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0))),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[498, 1558])).
% 1.03/1.05 tff(1560,plain,
% 1.03/1.05 (~p202(X!0)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[511, 1559])).
% 1.03/1.05 tff(1561,plain,
% 1.03/1.05 ($false),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[422, 1560, 1557, 859, 607, 1504])).
% 1.03/1.05 tff(1562,plain,(p601(X!0) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | p302(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | p501(X!0) | p605(X!0) | p502(X!0) | p505(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.03/1.05 tff(1563,plain,
% 1.03/1.05 (p601(X!0)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[1562, 789, 607, 5, 859, 536, 683, 238, 3])).
% 1.03/1.05 tff(1564,plain,
% 1.03/1.05 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | 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p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))),
% 1.03/1.05 inference(tautology,[status(thm)],[])).
% 1.03/1.05 tff(1565,plain,
% 1.03/1.05 (![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[1564, 51])).
% 1.03/1.05 tff(1566,plain,
% 1.03/1.05 (((~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | ((~r1(X!0, X!0)) | (~p301(X!0)) | (~p601(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~r1(X!0, X!0)) | (~p301(X!0)) | (~p601(X!0)))),
% 1.03/1.05 inference(rewrite,[status(thm)],[])).
% 1.03/1.05 tff(1567,plain,
% 1.03/1.05 ((~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | ((~r1(X!0, X!0)) | (~p301(X!0)) | (~p601(X!0)))),
% 1.03/1.05 inference(quant_inst,[status(thm)],[])).
% 1.03/1.05 tff(1568,plain,
% 1.03/1.05 ((~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~r1(X!0, X!0)) | (~p301(X!0)) | (~p601(X!0))),
% 1.03/1.05 inference(modus_ponens,[status(thm)],[1567, 1566])).
% 1.03/1.05 tff(1569,plain,
% 1.03/1.05 ((~p301(X!0)) | (~p601(X!0))),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[1568, 16, 1565])).
% 1.03/1.05 tff(1570,plain,
% 1.03/1.05 (~p301(X!0)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[1569, 1563])).
% 1.03/1.05 tff(1571,plain,
% 1.03/1.05 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) 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p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))),
% 1.03/1.05 inference(tautology,[status(thm)],[])).
% 1.03/1.05 tff(1572,plain,
% 1.03/1.05 (![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[1571, 51])).
% 1.03/1.05 tff(1573,plain,
% 1.03/1.05 (((~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | ((~r1(X!0, X!0)) | (~p401(X!0)) | (~p601(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~r1(X!0, X!0)) | (~p401(X!0)) | (~p601(X!0)))),
% 1.03/1.05 inference(rewrite,[status(thm)],[])).
% 1.03/1.05 tff(1574,plain,
% 1.03/1.05 (((~r1(X!0, X!0)) | (~p601(X!0)) | (~p401(X!0))) <=> ((~r1(X!0, X!0)) | (~p401(X!0)) | (~p601(X!0)))),
% 1.03/1.05 inference(rewrite,[status(thm)],[])).
% 1.03/1.05 tff(1575,plain,
% 1.03/1.05 (((~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | ((~r1(X!0, X!0)) | (~p601(X!0)) | (~p401(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | ((~r1(X!0, X!0)) | (~p401(X!0)) | (~p601(X!0))))),
% 1.03/1.05 inference(monotonicity,[status(thm)],[1574])).
% 1.03/1.05 tff(1576,plain,
% 1.03/1.05 (((~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | ((~r1(X!0, X!0)) | (~p601(X!0)) | (~p401(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~r1(X!0, X!0)) | (~p401(X!0)) | (~p601(X!0)))),
% 1.03/1.05 inference(transitivity,[status(thm)],[1575, 1573])).
% 1.03/1.05 tff(1577,plain,
% 1.03/1.05 ((~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | ((~r1(X!0, X!0)) | (~p601(X!0)) | (~p401(X!0)))),
% 1.03/1.05 inference(quant_inst,[status(thm)],[])).
% 1.03/1.05 tff(1578,plain,
% 1.03/1.05 ((~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~r1(X!0, X!0)) | (~p401(X!0)) | (~p601(X!0))),
% 1.03/1.05 inference(modus_ponens,[status(thm)],[1577, 1576])).
% 1.03/1.05 tff(1579,plain,
% 1.03/1.05 ((~p401(X!0)) | (~p601(X!0))),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[1578, 16, 1572])).
% 1.03/1.05 tff(1580,plain,
% 1.03/1.05 (~p401(X!0)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[1579, 1563])).
% 1.03/1.06 tff(1581,plain,
% 1.03/1.06 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))),
% 1.03/1.06 inference(tautology,[status(thm)],[])).
% 1.03/1.06 tff(1582,plain,
% 1.03/1.06 (![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[1581, 51])).
% 1.03/1.06 tff(1583,plain,
% 1.03/1.06 (((~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | ((~r1(X!0, X!0)) | (~p201(X!0)) | (~p601(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~r1(X!0, X!0)) | (~p201(X!0)) | (~p601(X!0)))),
% 1.03/1.06 inference(rewrite,[status(thm)],[])).
% 1.03/1.06 tff(1584,plain,
% 1.03/1.06 ((~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | ((~r1(X!0, X!0)) | (~p201(X!0)) | (~p601(X!0)))),
% 1.03/1.06 inference(quant_inst,[status(thm)],[])).
% 1.03/1.06 tff(1585,plain,
% 1.03/1.06 ((~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~r1(X!0, X!0)) | (~p201(X!0)) | (~p601(X!0))),
% 1.03/1.06 inference(modus_ponens,[status(thm)],[1584, 1583])).
% 1.03/1.06 tff(1586,plain,
% 1.03/1.06 ((~p201(X!0)) | (~p601(X!0))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[1585, 16, 1582])).
% 1.03/1.06 tff(1587,plain,
% 1.03/1.06 (~p201(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[1586, 1563])).
% 1.03/1.06 tff(1588,plain,
% 1.03/1.06 (![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[422, 687, 859, 607, 381])).
% 1.03/1.06 tff(1589,plain,
% 1.03/1.06 ((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[130, 1588])).
% 1.03/1.06 tff(1590,plain,
% 1.03/1.06 (~p402(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[1299, 686])).
% 1.03/1.06 tff(1591,plain,
% 1.03/1.06 (![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[1000, 687, 238, 4, 163, 381, 1590, 5, 789, 536, 3])).
% 1.03/1.06 tff(1592,plain,
% 1.03/1.06 (p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[72, 1591])).
% 1.03/1.06 tff(1593,plain,
% 1.03/1.06 ($false),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[1204, 1592, 1589])).
% 1.03/1.06 tff(1594,plain,((~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | p502(X!0) | p401(X!0) | p301(X!0) | p201(X!0) | p302(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | p501(X!0) | p505(X!0) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 1.03/1.06 tff(1595,plain,
% 1.03/1.06 (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[1594, 1580, 238, 1570, 1587, 5, 789, 536, 3, 859, 607])).
% 1.03/1.06 tff(1596,plain,
% 1.03/1.06 (~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[498, 1595])).
% 1.03/1.06 tff(1597,plain,
% 1.03/1.06 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[273, 1380, 1378])).
% 1.03/1.06 tff(1598,plain,
% 1.03/1.06 (![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[279, 1597, 579, 166, 1])).
% 1.03/1.06 tff(1599,plain,
% 1.03/1.06 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[208, 961, 789, 163, 5])).
% 1.03/1.06 tff(1600,plain,
% 1.03/1.06 (p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[153, 1599])).
% 1.03/1.06 tff(1601,plain,
% 1.03/1.06 (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[805, 1600])).
% 1.03/1.06 tff(1602,plain,
% 1.03/1.06 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[130, 1601])).
% 1.03/1.06 tff(1603,plain,
% 1.03/1.06 (p202(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[422, 1602, 859, 607, 381])).
% 1.03/1.06 tff(1604,plain,
% 1.03/1.06 (~p402(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[917, 1603])).
% 1.03/1.06 tff(1605,plain,
% 1.03/1.06 (p404(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[179, 1604, 4, 164, 963])).
% 1.03/1.06 tff(1606,plain,
% 1.03/1.06 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[173, 1605])).
% 1.03/1.06 tff(1607,plain,
% 1.03/1.06 (r1(X!0, tptp_fun_Y_9(X!0))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[224, 1606])).
% 1.03/1.06 tff(1608,plain,
% 1.03/1.06 (~p104(tptp_fun_Y_9(X!0))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[226, 1606])).
% 1.03/1.06 tff(1609,plain,
% 1.03/1.06 ($false),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[234, 1608, 1607, 1598])).
% 1.03/1.06 tff(1610,plain,((~p503(X!0)) | p401(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | p201(X!0) | p101(X!0) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | p301(X!0) | p302(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.03/1.06 tff(1611,plain,
% 1.03/1.06 (~p503(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[1610, 164, 4, 859, 607, 381, 579, 166, 1, 789, 163, 5])).
% 1.03/1.06 tff(1612,plain,
% 1.03/1.06 (p504(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[301, 1611, 3, 536, 238])).
% 1.03/1.06 tff(1613,plain,
% 1.03/1.06 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[604, 1612])).
% 1.03/1.06 tff(1614,plain,
% 1.03/1.06 (r1(X!0, tptp_fun_Y_9(X!0))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[224, 1613])).
% 1.03/1.06 tff(1615,plain,
% 1.03/1.06 (~p104(tptp_fun_Y_9(X!0))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[226, 1613])).
% 1.03/1.06 tff(1616,plain,
% 1.03/1.06 (~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[234, 1615, 1614])).
% 1.03/1.06 tff(1617,plain,
% 1.03/1.06 (![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[279, 1616, 579, 166, 1])).
% 1.03/1.06 tff(1618,plain,
% 1.03/1.06 ((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[275, 1617])).
% 1.03/1.06 tff(1619,plain,
% 1.03/1.06 (~p303(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[325, 1618])).
% 1.03/1.06 tff(1620,plain,
% 1.03/1.06 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[208, 1619, 789, 163, 5])).
% 1.03/1.06 tff(1621,plain,
% 1.03/1.06 (p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[153, 1620])).
% 1.03/1.06 tff(1622,plain,
% 1.03/1.06 (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[805, 1621])).
% 1.03/1.06 tff(1623,plain,
% 1.03/1.06 (~p404(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[336, 1612])).
% 1.03/1.06 tff(1624,plain,
% 1.03/1.06 (~p403(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[259, 1618])).
% 1.03/1.06 tff(1625,plain,
% 1.03/1.06 (p402(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[179, 1624, 4, 164, 1623])).
% 1.03/1.06 tff(1626,plain,
% 1.03/1.06 (~p202(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[917, 1625])).
% 1.03/1.06 tff(1627,plain,
% 1.03/1.06 (![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[422, 1626, 859, 607, 381])).
% 1.03/1.06 tff(1628,plain,
% 1.03/1.06 ($false),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[130, 1627, 1622])).
% 1.03/1.06 tff(1629,plain,(![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | p201(X!0) | p401(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | p301(X!0) | p302(X!0) | p101(X!0) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | p505(X!0) | p501(X!0) | p502(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.03/1.06 tff(1630,plain,
% 1.03/1.06 (![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[1629, 1, 607, 381, 4, 789, 163, 5, 579, 166, 859, 3, 536, 238])).
% 1.03/1.06 tff(1631,plain,
% 1.03/1.06 (p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[72, 1630])).
% 1.03/1.06 tff(1632,plain,
% 1.03/1.06 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[938, 1631])).
% 1.03/1.06 tff(1633,plain,
% 1.03/1.06 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[153, 1632])).
% 1.03/1.06 tff(1634,plain,
% 1.03/1.06 (p303(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[208, 1633, 789, 163, 5])).
% 1.03/1.06 tff(1635,plain,
% 1.03/1.06 (~p503(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[346, 1634])).
% 1.03/1.06 tff(1636,plain,
% 1.03/1.06 (p504(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[301, 1635, 3, 536, 238])).
% 1.03/1.06 tff(1637,plain,
% 1.03/1.06 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[604, 1636])).
% 1.03/1.06 tff(1638,plain,
% 1.03/1.06 (r1(X!0, tptp_fun_Y_9(X!0))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[224, 1637])).
% 1.03/1.06 tff(1639,plain,
% 1.03/1.06 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[325, 1634])).
% 1.03/1.06 tff(1640,plain,
% 1.03/1.06 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[275, 1639])).
% 1.03/1.06 tff(1641,plain,
% 1.03/1.06 (![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[279, 1640, 579, 166, 1])).
% 1.03/1.06 tff(1642,plain,
% 1.03/1.06 (~p104(tptp_fun_Y_9(X!0))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[226, 1637])).
% 1.03/1.06 tff(1643,plain,
% 1.03/1.06 ($false),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[234, 1642, 1641, 1638])).
% 1.03/1.06 tff(1644,plain,(![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | p101(X!0) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | p505(X!0) | p501(X!0) | p502(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | p301(X!0) | p302(X!0) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | p201(X!0) | p401(X!0) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 1.03/1.06 tff(1645,plain,
% 1.03/1.06 (![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[1644, 1596, 1260, 3, 536, 238, 789, 1570, 5, 607, 1587, 1580, 859])).
% 1.03/1.06 tff(1646,plain,
% 1.03/1.06 ((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[101, 1645])).
% 1.03/1.06 tff(1647,plain,
% 1.03/1.06 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[873, 1646])).
% 1.03/1.06 tff(1648,plain,
% 1.03/1.06 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[153, 1647])).
% 1.03/1.06 tff(1649,plain,
% 1.03/1.06 (p303(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[208, 1648, 789, 1570, 5])).
% 1.03/1.06 tff(1650,plain,
% 1.03/1.06 (~p503(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[346, 1649])).
% 1.03/1.06 tff(1651,plain,
% 1.03/1.06 (p504(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[301, 1650, 3, 536, 238])).
% 1.03/1.06 tff(1652,plain,
% 1.03/1.06 (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[1374, 1646])).
% 1.03/1.06 tff(1653,plain,
% 1.03/1.06 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[130, 1652])).
% 1.03/1.06 tff(1654,plain,
% 1.03/1.06 (p202(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[422, 1653, 859, 607, 1587])).
% 1.03/1.06 tff(1655,plain,
% 1.03/1.06 (~p402(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[917, 1654])).
% 1.03/1.06 tff(1656,plain,
% 1.03/1.06 (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[1512, 1646])).
% 1.03/1.06 tff(1657,plain,
% 1.03/1.06 (~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[72, 1656])).
% 1.03/1.06 tff(1658,plain,
% 1.03/1.06 (~p403(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[218, 1649])).
% 1.03/1.06 tff(1659,plain,
% 1.03/1.06 (p404(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[179, 1658, 1580, 1657, 1655])).
% 1.03/1.06 tff(1660,plain,
% 1.03/1.06 ($false),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[336, 1659, 1651])).
% 1.03/1.06 tff(1661,plain,(![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | p505(X!0) | p501(X!0) | p502(X!0) | p302(X!0) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | p605(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.03/1.06 tff(1662,plain,
% 1.03/1.06 (![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[1661, 238, 536, 3, 5, 859, 607, 683])).
% 1.03/1.06 tff(1663,plain,
% 1.03/1.06 ((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[202, 1662])).
% 1.03/1.06 tff(1664,plain,
% 1.03/1.06 (~p504(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[299, 1663])).
% 1.03/1.06 tff(1665,plain,
% 1.03/1.06 (p503(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[301, 1664, 3, 536, 238])).
% 1.03/1.06 tff(1666,plain,
% 1.03/1.06 (~p603(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[757, 1665])).
% 1.03/1.06 tff(1667,plain,
% 1.03/1.06 (~p604(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[782, 1663])).
% 1.03/1.06 tff(1668,plain,
% 1.03/1.06 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[640, 1665])).
% 1.03/1.06 tff(1669,plain,
% 1.03/1.06 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[275, 1668])).
% 1.03/1.06 tff(1670,plain,
% 1.03/1.06 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[186, 1663])).
% 1.03/1.06 tff(1671,plain,
% 1.03/1.06 (r1(X!0, tptp_fun_Y_9(X!0))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[224, 1670])).
% 1.03/1.06 tff(1672,plain,
% 1.03/1.06 (~p104(tptp_fun_Y_9(X!0))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[226, 1670])).
% 1.03/1.06 tff(1673,plain,
% 1.03/1.06 (~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[234, 1672, 1671])).
% 1.03/1.06 tff(1674,assumption,(p402(X!0)), introduced(assumption)).
% 1.03/1.06 tff(1675,plain,
% 1.03/1.06 (~p202(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[917, 1674])).
% 1.03/1.06 tff(1676,assumption,(~p603(X!0)), introduced(assumption)).
% 1.03/1.06 tff(1677,plain,
% 1.03/1.06 (~p602(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[1052, 1674])).
% 1.03/1.06 tff(1678,plain,
% 1.03/1.06 (p601(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[699, 1677, 683, 902, 1676])).
% 1.03/1.06 tff(1679,plain,
% 1.03/1.06 (~p201(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[1586, 1678])).
% 1.03/1.06 tff(1680,plain,
% 1.03/1.06 (![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[422, 1679, 859, 607, 1675])).
% 1.03/1.06 tff(1681,plain,
% 1.03/1.06 (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[1299, 1674])).
% 1.03/1.06 tff(1682,plain,
% 1.03/1.06 (~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[498, 1681])).
% 1.03/1.06 tff(1683,plain,
% 1.03/1.06 (![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[279, 1682, 1260, 247, 1331])).
% 1.03/1.06 tff(1684,plain,
% 1.03/1.06 ((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[101, 1683])).
% 1.03/1.06 tff(1685,plain,
% 1.03/1.06 (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[1374, 1684])).
% 1.03/1.06 tff(1686,plain,
% 1.03/1.06 ($false),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[130, 1685, 1680])).
% 1.03/1.06 tff(1687,plain,((~p402(X!0)) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y))) | p605(X!0) | p604(X!0) | p603(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.03/1.06 tff(1688,plain,
% 1.03/1.06 (~p402(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[1687, 1673, 607, 859, 1669, 683, 1667, 1666])).
% 1.03/1.06 tff(1689,plain,
% 1.03/1.06 (~p403(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[245, 1665])).
% 1.03/1.06 tff(1690,plain,
% 1.03/1.06 (~p404(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[311, 1663])).
% 1.03/1.06 tff(1691,plain,
% 1.03/1.06 (~p602(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[1278, 686])).
% 1.03/1.06 tff(1692,plain,
% 1.03/1.06 (p601(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[699, 1691, 683, 902, 1676])).
% 1.03/1.06 tff(1693,plain,
% 1.03/1.06 (~p401(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[1579, 1692])).
% 1.03/1.06 tff(1694,plain,
% 1.03/1.06 (![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[179, 1693, 1262, 1337, 6])).
% 1.03/1.06 tff(1695,plain,
% 1.03/1.06 (p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[72, 1694])).
% 1.03/1.06 tff(1696,plain,
% 1.03/1.06 (~p201(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[1586, 1692])).
% 1.03/1.06 tff(1697,plain,
% 1.03/1.06 (![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[422, 1696, 859, 607, 687])).
% 1.03/1.06 tff(1698,plain,
% 1.03/1.06 ((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[130, 1697])).
% 1.03/1.06 tff(1699,plain,
% 1.03/1.06 ($false),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[1204, 1698, 1695])).
% 1.03/1.06 tff(1700,plain,((~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | p404(X!0) | p403(X!0) | p402(X!0) | p605(X!0) | p604(X!0) | p603(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.03/1.06 tff(1701,plain,
% 1.03/1.06 (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[1700, 1690, 607, 859, 1689, 1688, 683, 1667, 1666])).
% 1.03/1.06 tff(1702,plain,
% 1.03/1.06 (~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[498, 1701])).
% 1.03/1.06 tff(1703,plain,
% 1.03/1.06 (![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[279, 1702, 1260, 1673, 1669])).
% 1.03/1.06 tff(1704,plain,
% 1.03/1.06 ((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[101, 1703])).
% 1.03/1.06 tff(1705,plain,
% 1.03/1.06 (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[1512, 1704])).
% 1.03/1.06 tff(1706,plain,
% 1.03/1.06 (~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[72, 1705])).
% 1.03/1.06 tff(1707,plain,
% 1.03/1.06 (p401(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[179, 1706, 1690, 1689, 1688])).
% 1.03/1.06 tff(1708,plain,
% 1.03/1.06 (~p601(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[1579, 1707])).
% 1.03/1.06 tff(1709,plain,
% 1.03/1.06 (p602(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[699, 1708, 683, 1667, 1666])).
% 1.03/1.06 tff(1710,plain,
% 1.03/1.06 (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[1374, 1704])).
% 1.03/1.06 tff(1711,plain,
% 1.03/1.06 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[130, 1710])).
% 1.03/1.06 tff(1712,plain,
% 1.03/1.06 (~p201(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[1433, 1707])).
% 1.03/1.06 tff(1713,plain,
% 1.03/1.06 (p202(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[422, 1712, 859, 607, 1711])).
% 1.03/1.06 tff(1714,plain,
% 1.03/1.06 ($false),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[924, 1713, 1709])).
% 1.03/1.06 tff(1715,plain,(p502(X!0) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | p605(X!0) | p505(X!0) | p501(X!0) | p302(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.03/1.06 tff(1716,plain,
% 1.03/1.06 (p502(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[1715, 607, 859, 683, 3, 536, 5])).
% 1.03/1.06 tff(1717,plain,
% 1.03/1.06 (~p202(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[358, 1716])).
% 1.03/1.06 tff(1718,plain,
% 1.03/1.06 (~p402(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[1068, 1716])).
% 1.03/1.06 tff(1719,plain,
% 1.03/1.06 (~p602(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[1015, 1716])).
% 1.03/1.06 tff(1720,plain,
% 1.03/1.06 (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[534, 1716])).
% 1.03/1.06 tff(1721,plain,
% 1.03/1.06 (~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[498, 1720])).
% 1.03/1.06 tff(1722,assumption,((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0))), introduced(assumption)).
% 1.03/1.06 tff(1723,plain,
% 1.03/1.06 (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[1204, 1722])).
% 1.03/1.06 tff(1724,plain,
% 1.03/1.06 (~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[72, 1723])).
% 1.03/1.06 tff(1725,plain,
% 1.03/1.06 (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[1374, 1722])).
% 1.03/1.06 tff(1726,plain,
% 1.03/1.06 (~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[101, 1725])).
% 1.03/1.06 tff(1727,plain,
% 1.03/1.06 (~p604(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[1353, 167])).
% 1.03/1.06 tff(1728,plain,
% 1.03/1.06 (p603(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[699, 1727, 683, 685, 684])).
% 1.03/1.06 tff(1729,plain,
% 1.03/1.06 ($false),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[746, 1728, 180])).
% 1.03/1.06 tff(1730,plain,((~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))) | p605(X!0) | p602(X!0) | p601(X!0) | p401(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p402(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.03/1.06 tff(1731,plain,
% 1.03/1.06 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[1730, 684, 685, 683, 4, 164, 6])).
% 1.03/1.06 tff(1732,plain,
% 1.03/1.06 (r1(X!0, tptp_fun_Y_9(X!0))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[224, 1731])).
% 1.03/1.06 tff(1733,plain,
% 1.03/1.06 (~p104(tptp_fun_Y_9(X!0))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[226, 1731])).
% 1.03/1.06 tff(1734,plain,
% 1.03/1.06 (~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[234, 1733, 1732])).
% 1.03/1.06 tff(1735,plain,
% 1.03/1.06 (![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[279, 1734, 1260, 1, 166])).
% 1.03/1.06 tff(1736,plain,
% 1.03/1.06 ((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[275, 1735])).
% 1.03/1.06 tff(1737,plain,
% 1.03/1.06 (~p603(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[1316, 1736])).
% 1.03/1.06 tff(1738,plain,
% 1.03/1.06 (p604(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[699, 1737, 683, 685, 684])).
% 1.03/1.06 tff(1739,plain,
% 1.03/1.06 (~p403(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[259, 1736])).
% 1.03/1.06 tff(1740,plain,
% 1.03/1.06 (p404(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[179, 1739, 4, 164, 6])).
% 1.03/1.06 tff(1741,plain,
% 1.03/1.06 ($false),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[726, 1740, 1738])).
% 1.03/1.06 tff(1742,plain,(p601(X!0) | p401(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p402(X!0) | p605(X!0) | p602(X!0) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 1.03/1.06 tff(1743,plain,
% 1.03/1.06 (p601(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[1742, 1724, 4, 6, 683, 685, 1, 1726])).
% 1.03/1.06 tff(1744,plain,
% 1.03/1.06 (~p301(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[1569, 1743])).
% 1.03/1.06 tff(1745,plain,
% 1.03/1.06 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[805, 1722])).
% 1.03/1.06 tff(1746,plain,
% 1.03/1.06 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[153, 1745])).
% 1.03/1.06 tff(1747,plain,
% 1.03/1.06 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[220, 1746, 1744, 5, 4, 1724, 6])).
% 1.03/1.06 tff(1748,plain,
% 1.03/1.06 (~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[236, 1747])).
% 1.03/1.06 tff(1749,plain,
% 1.03/1.06 (![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[279, 1748, 1260, 1, 1726])).
% 1.03/1.06 tff(1750,plain,
% 1.03/1.06 ((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[275, 1749])).
% 1.03/1.06 tff(1751,plain,
% 1.03/1.06 (~p403(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[259, 1750])).
% 1.03/1.06 tff(1752,plain,
% 1.03/1.06 (p404(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[179, 1751, 4, 1724, 6])).
% 1.03/1.06 tff(1753,plain,
% 1.03/1.06 (~p303(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[325, 1750])).
% 1.03/1.06 tff(1754,plain,
% 1.03/1.06 (![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[208, 1753, 1746, 1744, 5])).
% 1.03/1.06 tff(1755,plain,
% 1.03/1.06 ((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[202, 1754])).
% 1.03/1.06 tff(1756,plain,
% 1.03/1.06 ($false),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[311, 1755, 1752])).
% 1.03/1.06 tff(1757,plain,((~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))) | p401(X!0) | p402(X!0) | p302(X!0) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | p605(X!0) | p602(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.03/1.06 tff(1758,plain,
% 1.03/1.06 (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[1757, 4, 6, 5, 1, 683, 685])).
% 1.03/1.06 tff(1759,plain,
% 1.03/1.06 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[130, 1758])).
% 1.03/1.06 tff(1760,plain,
% 1.03/1.06 (p201(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[422, 1759, 859, 607, 2])).
% 1.03/1.06 tff(1761,plain,
% 1.03/1.06 (~p301(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[567, 1760])).
% 1.03/1.06 tff(1762,plain,
% 1.03/1.06 (~p601(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[1586, 1760])).
% 1.03/1.06 tff(1763,plain,
% 1.03/1.06 (![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[1742, 164, 4, 6, 683, 685, 1, 684])).
% 1.03/1.06 tff(1764,plain,
% 1.03/1.06 ((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[101, 1763])).
% 1.03/1.06 tff(1765,plain,
% 1.03/1.06 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[873, 1764])).
% 1.03/1.06 tff(1766,plain,
% 1.03/1.06 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[153, 1765])).
% 1.03/1.06 tff(1767,plain,
% 1.03/1.06 (~p303(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[791, 164, 685, 684, 4, 683, 6])).
% 1.03/1.06 tff(1768,plain,
% 1.03/1.06 (![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[208, 1767, 1766, 163, 5])).
% 1.03/1.06 tff(1769,plain,
% 1.03/1.06 ((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[202, 1768])).
% 1.03/1.06 tff(1770,plain,
% 1.03/1.06 (~p404(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[311, 1769])).
% 1.03/1.06 tff(1771,plain,
% 1.03/1.06 (p403(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[179, 1770, 4, 164, 6])).
% 1.03/1.06 tff(1772,plain,
% 1.03/1.06 (~p604(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[782, 1769])).
% 1.03/1.06 tff(1773,plain,
% 1.03/1.06 (p603(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[699, 1772, 683, 685, 684])).
% 1.03/1.06 tff(1774,plain,
% 1.03/1.06 ($false),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[746, 1773, 1771])).
% 1.03/1.06 tff(1775,plain,(![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p605(X!0) | p602(X!0) | p601(X!0) | p401(X!0) | p402(X!0) | p301(X!0) | p302(X!0) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 1.03/1.06 tff(1776,plain,
% 1.03/1.06 (![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[1775, 1762, 685, 683, 4, 6, 1761, 5, 1])).
% 1.03/1.06 tff(1777,plain,
% 1.03/1.06 (p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[72, 1776])).
% 1.03/1.06 tff(1778,plain,
% 1.03/1.06 (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[1512, 1777])).
% 1.03/1.06 tff(1779,plain,
% 1.03/1.06 (~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[101, 1778])).
% 1.03/1.06 tff(1780,plain,
% 1.03/1.06 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[938, 1777])).
% 1.03/1.06 tff(1781,plain,
% 1.03/1.06 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[153, 1780])).
% 1.03/1.06 tff(1782,plain,
% 1.03/1.06 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[325, 382])).
% 1.03/1.06 tff(1783,plain,
% 1.03/1.06 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[275, 1782])).
% 1.03/1.06 tff(1784,plain,
% 1.03/1.06 (![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[279, 1783, 1260, 1, 166])).
% 1.03/1.06 tff(1785,plain,
% 1.03/1.06 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[1353, 700])).
% 1.03/1.06 tff(1786,plain,
% 1.03/1.06 ($false),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[236, 1785, 1784])).
% 1.03/1.06 tff(1787,plain,((~p303(X!0)) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | p605(X!0) | p602(X!0) | p601(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.03/1.06 tff(1788,plain,
% 1.03/1.06 (~p303(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[1787, 1779, 1, 683, 685, 1762])).
% 1.03/1.06 tff(1789,plain,
% 1.03/1.06 (![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[208, 1788, 1781, 1761, 5])).
% 1.03/1.06 tff(1790,plain,
% 1.03/1.06 ((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[202, 1789])).
% 1.03/1.06 tff(1791,plain,
% 1.03/1.06 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[186, 1790])).
% 1.03/1.06 tff(1792,plain,
% 1.03/1.06 (~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[236, 1791])).
% 1.03/1.06 tff(1793,plain,
% 1.03/1.06 (![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[279, 1792, 1260, 1, 1779])).
% 1.03/1.06 tff(1794,plain,
% 1.03/1.06 (~p604(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[782, 1790])).
% 1.03/1.06 tff(1795,plain,
% 1.03/1.06 (p603(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[699, 1794, 683, 685, 1762])).
% 1.03/1.06 tff(1796,plain,
% 1.03/1.06 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[1316, 1795])).
% 1.03/1.06 tff(1797,plain,
% 1.03/1.06 ($false),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[275, 1796, 1793])).
% 1.03/1.06 tff(1798,plain,(p401(X!0) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | p605(X!0) | p602(X!0) | p302(X!0) | p402(X!0) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | p202(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.03/1.06 tff(1799,plain,
% 1.03/1.06 (p401(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[1798, 1721, 683, 1719, 5, 1718, 859, 607, 1717])).
% 1.03/1.06 tff(1800,plain,
% 1.03/1.06 (~p201(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[1433, 1799])).
% 1.03/1.06 tff(1801,plain,
% 1.03/1.06 (![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[422, 1800, 859, 607, 1717])).
% 1.03/1.06 tff(1802,plain,
% 1.03/1.06 ((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[130, 1801])).
% 1.03/1.06 tff(1803,plain,
% 1.03/1.06 (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[1374, 1802])).
% 1.03/1.06 tff(1804,plain,
% 1.03/1.06 (~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[101, 1803])).
% 1.03/1.06 tff(1805,plain,
% 1.03/1.06 (~p301(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[1443, 1799])).
% 1.03/1.06 tff(1806,plain,
% 1.03/1.06 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[805, 1802])).
% 1.03/1.06 tff(1807,plain,
% 1.03/1.06 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[153, 1806])).
% 1.03/1.06 tff(1808,plain,
% 1.03/1.06 (~p601(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[1579, 1799])).
% 1.03/1.06 tff(1809,plain,
% 1.03/1.06 (~p303(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[1787, 1804, 1721, 683, 1719, 1808])).
% 1.03/1.06 tff(1810,plain,
% 1.03/1.06 (![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[208, 1809, 1807, 1805, 5])).
% 1.03/1.06 tff(1811,plain,
% 1.03/1.06 ((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[202, 1810])).
% 1.03/1.06 tff(1812,plain,
% 1.03/1.06 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[186, 1811])).
% 1.03/1.06 tff(1813,plain,
% 1.03/1.06 (~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[236, 1812])).
% 1.03/1.06 tff(1814,plain,
% 1.03/1.06 (![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[279, 1813, 1260, 1721, 1804])).
% 1.03/1.06 tff(1815,plain,
% 1.03/1.06 (~p604(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[782, 1811])).
% 1.03/1.06 tff(1816,plain,
% 1.03/1.06 (p603(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[699, 1815, 683, 1719, 1808])).
% 1.03/1.06 tff(1817,plain,
% 1.03/1.06 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[1316, 1816])).
% 1.03/1.06 tff(1818,plain,
% 1.03/1.06 ($false),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[275, 1817, 1814])).
% 1.03/1.06 tff(1819,plain,(![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | p605(X!0) | p302(X!0) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | p505(X!0) | p501(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.03/1.06 tff(1820,plain,
% 1.03/1.06 (![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[1819, 5, 683, 859, 3, 536])).
% 1.03/1.06 tff(1821,plain,
% 1.03/1.06 ((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[478, 1820])).
% 1.03/1.06 tff(1822,plain,
% 1.03/1.06 (~p503(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[678, 1821])).
% 1.03/1.06 tff(1823,plain,
% 1.03/1.06 (~p603(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[824, 1821])).
% 1.03/1.06 tff(1824,plain,
% 1.03/1.06 (~p403(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[472, 1821])).
% 1.03/1.06 tff(1825,plain,
% 1.03/1.06 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[586, 1821])).
% 1.03/1.06 tff(1826,plain,
% 1.03/1.06 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[275, 1825])).
% 1.03/1.06 tff(1827,plain,
% 1.03/1.06 (~p303(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[405, 1821])).
% 1.03/1.06 tff(1828,assumption,(~p503(X!0)), introduced(assumption)).
% 1.03/1.06 tff(1829,plain,
% 1.03/1.06 (![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[179, 735, 4, 1337, 6])).
% 1.03/1.06 tff(1830,plain,
% 1.03/1.06 (p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[72, 1829])).
% 1.03/1.06 tff(1831,plain,
% 1.03/1.06 (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[1512, 1830])).
% 1.03/1.06 tff(1832,plain,
% 1.03/1.06 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[1353, 732])).
% 1.03/1.06 tff(1833,plain,
% 1.03/1.06 (~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[236, 1832])).
% 1.03/1.06 tff(1834,plain,
% 1.03/1.06 (p502(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[301, 733, 3, 536, 1828])).
% 1.03/1.06 tff(1835,plain,
% 1.03/1.06 (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[534, 1834])).
% 1.03/1.06 tff(1836,plain,
% 1.03/1.06 (~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[498, 1835])).
% 1.03/1.06 tff(1837,plain,
% 1.03/1.06 (![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[279, 1836, 579, 1331, 1833])).
% 1.03/1.06 tff(1838,plain,
% 1.03/1.06 ($false),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[101, 1837, 1831])).
% 1.03/1.06 tff(1839,plain,((~p604(X!0)) | p101(X!0) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y))) | p401(X!0) | p403(X!0) | p402(X!0) | p505(X!0) | p501(X!0) | p503(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.03/1.06 tff(1840,plain,
% 1.03/1.06 (~p604(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[1839, 6, 1331, 4, 1337, 1260, 3, 536, 1828])).
% 1.03/1.06 tff(1841,plain,
% 1.03/1.06 (p602(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[699, 1840, 683, 1676, 684])).
% 1.03/1.06 tff(1842,plain,
% 1.03/1.06 (~p502(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[1015, 1841])).
% 1.03/1.06 tff(1843,plain,
% 1.03/1.06 (p504(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[301, 1842, 3, 536, 1828])).
% 1.03/1.06 tff(1844,plain,
% 1.03/1.06 (~p404(X!0)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[336, 1843])).
% 1.03/1.06 tff(1845,plain,
% 1.03/1.06 (![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[179, 1844, 4, 1337, 6])).
% 1.03/1.06 tff(1846,plain,
% 1.03/1.06 (p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[72, 1845])).
% 1.03/1.06 tff(1847,plain,
% 1.03/1.06 (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[1278, 1841])).
% 1.03/1.06 tff(1848,plain,
% 1.03/1.06 (~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[498, 1847])).
% 1.03/1.06 tff(1849,plain,
% 1.03/1.06 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[604, 1843])).
% 1.03/1.07 tff(1850,plain,
% 1.03/1.07 (~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[236, 1849])).
% 1.03/1.07 tff(1851,plain,
% 1.03/1.07 (![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[279, 1850, 1260, 1331, 1848])).
% 1.03/1.07 tff(1852,plain,
% 1.03/1.07 ((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[101, 1851])).
% 1.03/1.07 tff(1853,plain,
% 1.03/1.07 ($false),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1512, 1852, 1846])).
% 1.03/1.07 tff(1854,plain,(p402(X!0) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y))) | p401(X!0) | p403(X!0) | p505(X!0) | p501(X!0) | p503(X!0) | p605(X!0) | p603(X!0) | p601(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.03/1.07 tff(1855,plain,
% 1.03/1.07 (p402(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1854, 684, 4, 1337, 3, 536, 1828, 683, 1676, 1331])).
% 1.03/1.07 tff(1856,plain,
% 1.03/1.07 (~p602(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1052, 1855])).
% 1.03/1.07 tff(1857,plain,
% 1.03/1.07 (p604(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[699, 1856, 683, 1676, 684])).
% 1.03/1.07 tff(1858,plain,
% 1.03/1.07 (~p502(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1068, 1855])).
% 1.03/1.07 tff(1859,plain,
% 1.03/1.07 (p504(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[301, 1858, 3, 536, 1828])).
% 1.03/1.07 tff(1860,plain,
% 1.03/1.07 ($false),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[706, 1859, 1857])).
% 1.03/1.07 tff(1861,plain,(p601(X!0) | p505(X!0) | p501(X!0) | p503(X!0) | p605(X!0) | p603(X!0) | p401(X!0) | p403(X!0) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 1.03/1.07 tff(1862,plain,
% 1.03/1.07 (p601(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1861, 4, 536, 1828, 683, 1676, 3, 1337, 1331])).
% 1.03/1.07 tff(1863,plain,
% 1.03/1.07 (~p301(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1569, 1862])).
% 1.03/1.07 tff(1864,assumption,(p404(X!0)), introduced(assumption)).
% 1.03/1.07 tff(1865,plain,
% 1.03/1.07 (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[311, 1864])).
% 1.03/1.07 tff(1866,plain,
% 1.03/1.07 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[202, 1865])).
% 1.03/1.07 tff(1867,plain,
% 1.03/1.07 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[208, 1866, 860, 163, 5])).
% 1.03/1.07 tff(1868,plain,
% 1.03/1.07 (p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[153, 1867])).
% 1.03/1.07 tff(1869,plain,
% 1.03/1.07 (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[873, 1868])).
% 1.03/1.07 tff(1870,plain,
% 1.03/1.07 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[173, 1864])).
% 1.03/1.07 tff(1871,plain,
% 1.03/1.07 (~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[236, 1870])).
% 1.03/1.07 tff(1872,plain,
% 1.03/1.07 (~p504(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[336, 1864])).
% 1.03/1.07 tff(1873,plain,
% 1.03/1.07 (p502(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[301, 1872, 3, 536, 1828])).
% 1.03/1.07 tff(1874,plain,
% 1.03/1.07 (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[534, 1873])).
% 1.03/1.07 tff(1875,plain,
% 1.03/1.07 (~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[498, 1874])).
% 1.03/1.07 tff(1876,plain,
% 1.03/1.07 (![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[279, 1875, 579, 1331, 1871])).
% 1.03/1.07 tff(1877,plain,
% 1.03/1.07 ($false),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[101, 1876, 1869])).
% 1.03/1.07 tff(1878,plain,((~p404(X!0)) | p101(X!0) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y))) | p303(X!0) | p301(X!0) | p302(X!0) | p505(X!0) | p501(X!0) | p503(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.03/1.07 tff(1879,plain,
% 1.03/1.07 (~p404(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1878, 1863, 1331, 860, 1260, 5, 3, 536, 1828])).
% 1.03/1.07 tff(1880,assumption,(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0)))), introduced(assumption)).
% 1.03/1.07 tff(1881,plain,
% 1.03/1.07 (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1512, 1880])).
% 1.03/1.07 tff(1882,plain,
% 1.03/1.07 (~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[101, 1881])).
% 1.03/1.07 tff(1883,plain,
% 1.03/1.07 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[938, 1880])).
% 1.03/1.07 tff(1884,plain,
% 1.03/1.07 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[153, 1883])).
% 1.03/1.07 tff(1885,plain,
% 1.03/1.07 (![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[208, 1884, 860, 163, 5])).
% 1.03/1.07 tff(1886,plain,
% 1.03/1.07 ((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[202, 1885])).
% 1.03/1.07 tff(1887,plain,
% 1.03/1.07 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[186, 1886])).
% 1.03/1.07 tff(1888,plain,
% 1.03/1.07 (~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[236, 1887])).
% 1.03/1.07 tff(1889,plain,
% 1.03/1.07 (![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[279, 1888, 579, 1331, 1882])).
% 1.03/1.07 tff(1890,plain,
% 1.03/1.07 (~p504(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[299, 1886])).
% 1.03/1.07 tff(1891,plain,
% 1.03/1.07 (p502(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[301, 1890, 3, 536, 1828])).
% 1.03/1.07 tff(1892,plain,
% 1.03/1.07 (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[534, 1891])).
% 1.03/1.07 tff(1893,plain,
% 1.03/1.07 ($false),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[498, 1892, 1889])).
% 1.03/1.07 tff(1894,plain,((~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))) | p101(X!0) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y))) | p505(X!0) | p501(X!0) | p503(X!0) | p303(X!0) | p301(X!0) | p302(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.03/1.07 tff(1895,plain,
% 1.03/1.07 (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1894, 1863, 1331, 3, 536, 1828, 860, 1260, 5])).
% 1.03/1.07 tff(1896,plain,
% 1.03/1.07 (~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[72, 1895])).
% 1.03/1.07 tff(1897,plain,
% 1.03/1.07 (p402(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[179, 1896, 4, 1337, 1879])).
% 1.03/1.07 tff(1898,plain,
% 1.03/1.07 (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1299, 1897])).
% 1.03/1.07 tff(1899,plain,
% 1.03/1.07 (~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[498, 1898])).
% 1.03/1.07 tff(1900,plain,
% 1.03/1.07 (~p502(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1068, 1897])).
% 1.03/1.07 tff(1901,plain,
% 1.03/1.07 (p504(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[301, 1900, 3, 536, 1828])).
% 1.03/1.07 tff(1902,plain,
% 1.03/1.07 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[604, 1901])).
% 1.03/1.07 tff(1903,plain,
% 1.03/1.07 (~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[236, 1902])).
% 1.03/1.07 tff(1904,plain,
% 1.03/1.07 (![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[279, 1903, 1260, 1331, 1899])).
% 1.03/1.07 tff(1905,plain,
% 1.03/1.07 ((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[101, 1904])).
% 1.03/1.07 tff(1906,plain,
% 1.03/1.07 (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[299, 1901])).
% 1.03/1.07 tff(1907,plain,
% 1.03/1.07 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[202, 1906])).
% 1.03/1.07 tff(1908,plain,
% 1.03/1.07 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[208, 1907, 860, 1863, 5])).
% 1.03/1.07 tff(1909,plain,
% 1.03/1.07 (p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[153, 1908])).
% 1.03/1.07 tff(1910,plain,
% 1.03/1.07 ($false),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[873, 1909, 1905])).
% 1.03/1.07 tff(1911,plain,(p401(X!0) | p303(X!0) | p302(X!0) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y))) | p505(X!0) | p501(X!0) | p503(X!0) | p403(X!0) | p605(X!0) | p603(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.03/1.07 tff(1912,plain,
% 1.03/1.07 (p401(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1911, 1827, 5, 1826, 3, 536, 1822, 1824, 683, 1823])).
% 1.03/1.07 tff(1913,plain,
% 1.03/1.07 (~p301(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1443, 1912])).
% 1.03/1.07 tff(1914,plain,
% 1.03/1.07 (~p601(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1579, 1912])).
% 1.03/1.07 tff(1915,plain,
% 1.03/1.07 (~p504(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[604, 167])).
% 1.03/1.07 tff(1916,plain,
% 1.03/1.07 (p502(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[301, 1915, 3, 536, 1828])).
% 1.03/1.07 tff(1917,plain,
% 1.03/1.07 (p602(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[699, 1727, 683, 1676, 684])).
% 1.03/1.07 tff(1918,plain,
% 1.03/1.07 ($false),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1015, 1917, 1916])).
% 1.03/1.07 tff(1919,plain,((~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))) | p605(X!0) | p603(X!0) | p601(X!0) | p505(X!0) | p501(X!0) | p503(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.03/1.07 tff(1920,plain,
% 1.03/1.07 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1919, 1823, 683, 1914, 3, 536, 1822])).
% 1.03/1.07 tff(1921,plain,
% 1.03/1.07 (~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[236, 1920])).
% 1.03/1.07 tff(1922,plain,
% 1.03/1.07 (p504(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[301, 688, 3, 536, 1828])).
% 1.03/1.07 tff(1923,plain,
% 1.03/1.07 (p604(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[699, 1691, 683, 1676, 684])).
% 1.03/1.07 tff(1924,plain,
% 1.03/1.07 ($false),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[706, 1923, 1922])).
% 1.03/1.07 tff(1925,plain,((~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | p605(X!0) | p603(X!0) | p601(X!0) | p505(X!0) | p501(X!0) | p503(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.03/1.07 tff(1926,plain,
% 1.03/1.07 (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1925, 1823, 683, 1914, 3, 536, 1822])).
% 1.03/1.07 tff(1927,plain,
% 1.03/1.07 (~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[498, 1926])).
% 1.03/1.07 tff(1928,plain,
% 1.03/1.07 (![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[279, 1927, 1260, 1826, 1921])).
% 1.03/1.07 tff(1929,plain,
% 1.03/1.07 ((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[101, 1928])).
% 1.03/1.07 tff(1930,plain,
% 1.03/1.07 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[873, 1929])).
% 1.03/1.07 tff(1931,plain,
% 1.03/1.07 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[153, 1930])).
% 1.03/1.07 tff(1932,plain,
% 1.03/1.07 (![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[208, 1931, 1827, 1913, 5])).
% 1.03/1.07 tff(1933,plain,
% 1.03/1.07 ((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[202, 1932])).
% 1.03/1.07 tff(1934,plain,
% 1.03/1.07 (~p504(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[299, 1933])).
% 1.03/1.07 tff(1935,plain,
% 1.03/1.07 (p502(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[301, 1934, 3, 536, 1822])).
% 1.03/1.07 tff(1936,plain,
% 1.03/1.07 (~p604(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[782, 1933])).
% 1.03/1.07 tff(1937,plain,
% 1.03/1.07 (p602(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[699, 1936, 683, 1823, 1914])).
% 1.03/1.07 tff(1938,plain,
% 1.03/1.07 ($false),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1015, 1937, 1935])).
% 1.03/1.07 tff(1939,plain,(p302(X!0) | p605(X!0) | p505(X!0) | p501(X!0) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 1.03/1.07 tff(1940,plain,
% 1.03/1.07 (p302(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1939, 859, 3, 536, 683])).
% 1.03/1.07 tff(1941,plain,
% 1.03/1.07 (~p502(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1024, 1940])).
% 1.03/1.07 tff(1942,plain,
% 1.03/1.07 (~p202(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[910, 1940])).
% 1.03/1.07 tff(1943,plain,
% 1.03/1.07 (~p402(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1061, 1209])).
% 1.03/1.07 tff(1944,plain,
% 1.03/1.07 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))),
% 1.03/1.07 inference(tautology,[status(thm)],[])).
% 1.03/1.07 tff(1945,plain,
% 1.03/1.07 (![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1944, 51])).
% 1.03/1.07 tff(1946,plain,
% 1.03/1.07 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | ((~r1(X!0, X!0)) | (~p302(X!0)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))))) <=> ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~r1(X!0, X!0)) | (~p302(X!0)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))))),
% 1.03/1.07 inference(rewrite,[status(thm)],[])).
% 1.03/1.07 tff(1947,plain,
% 1.03/1.07 (((~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p302(X!0)) | (~r1(X!0, X!0))) <=> ((~r1(X!0, X!0)) | (~p302(X!0)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))))),
% 1.03/1.07 inference(rewrite,[status(thm)],[])).
% 1.03/1.07 tff(1948,plain,
% 1.03/1.07 (((~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p302(X!0)) | (~r1(X!0, X!0))) <=> ((~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p302(X!0)) | (~r1(X!0, X!0)))),
% 1.03/1.07 inference(monotonicity,[status(thm)],[504])).
% 1.03/1.07 tff(1949,plain,
% 1.03/1.07 (((~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p302(X!0)) | (~r1(X!0, X!0))) <=> ((~r1(X!0, X!0)) | (~p302(X!0)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))))),
% 1.03/1.07 inference(transitivity,[status(thm)],[1948, 1947])).
% 1.03/1.07 tff(1950,plain,
% 1.03/1.07 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | ((~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p302(X!0)) | (~r1(X!0, X!0)))) <=> ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | ((~r1(X!0, X!0)) | (~p302(X!0)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0))))))),
% 1.03/1.07 inference(monotonicity,[status(thm)],[1949])).
% 1.03/1.07 tff(1951,plain,
% 1.03/1.07 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | ((~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p302(X!0)) | (~r1(X!0, X!0)))) <=> ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~r1(X!0, X!0)) | (~p302(X!0)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))))),
% 1.03/1.07 inference(transitivity,[status(thm)],[1950, 1946])).
% 1.03/1.07 tff(1952,plain,
% 1.03/1.07 ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | ((~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p302(X!0)) | (~r1(X!0, X!0)))),
% 1.03/1.07 inference(quant_inst,[status(thm)],[])).
% 1.03/1.07 tff(1953,plain,
% 1.03/1.07 ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~r1(X!0, X!0)) | (~p302(X!0)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0))))),
% 1.03/1.07 inference(modus_ponens,[status(thm)],[1952, 1951])).
% 1.03/1.07 tff(1954,plain,
% 1.03/1.07 ((~p302(X!0)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0))))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1953, 16, 1945])).
% 1.03/1.07 tff(1955,plain,
% 1.03/1.07 (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1954, 1209])).
% 1.03/1.07 tff(1956,plain,
% 1.03/1.07 (~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[498, 1955])).
% 1.03/1.07 tff(1957,plain,
% 1.03/1.07 (![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1546, 684, 683, 1210, 1956, 3, 536, 1211])).
% 1.03/1.07 tff(1958,plain,
% 1.03/1.07 ((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[101, 1957])).
% 1.03/1.07 tff(1959,plain,
% 1.03/1.07 (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1512, 1958])).
% 1.03/1.07 tff(1960,plain,
% 1.03/1.07 (~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[72, 1959])).
% 1.03/1.07 tff(1961,plain,
% 1.03/1.07 (p401(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[761, 1960, 536, 1943, 3, 684, 683, 1210, 1211])).
% 1.03/1.07 tff(1962,plain,
% 1.03/1.07 (~p202(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[910, 1209])).
% 1.03/1.07 tff(1963,plain,
% 1.03/1.07 (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1374, 1958])).
% 1.03/1.07 tff(1964,plain,
% 1.03/1.07 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[130, 1963])).
% 1.03/1.07 tff(1965,plain,
% 1.03/1.07 (p201(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1230, 1964, 3, 683, 536, 1209, 1962, 684])).
% 1.03/1.07 tff(1966,plain,
% 1.03/1.07 ($false),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1433, 1965, 1961])).
% 1.03/1.07 tff(1967,plain,(p601(X!0) | p505(X!0) | p605(X!0) | p501(X!0) | (~p302(X!0))), inference(lemma,lemma(discharge,[]))).
% 1.03/1.07 tff(1968,plain,
% 1.03/1.07 (p601(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1967, 1940, 683, 536, 3])).
% 1.03/1.07 tff(1969,plain,
% 1.03/1.07 (~p201(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1586, 1968])).
% 1.03/1.07 tff(1970,plain,
% 1.03/1.07 (~p401(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1579, 1968])).
% 1.03/1.07 tff(1971,plain,
% 1.03/1.07 (~p402(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1061, 1940])).
% 1.03/1.07 tff(1972,plain,
% 1.03/1.07 (~p503(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[640, 360])).
% 1.03/1.07 tff(1973,plain,
% 1.03/1.07 (p504(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[301, 1972, 3, 536, 238])).
% 1.03/1.07 tff(1974,plain,
% 1.03/1.07 (~p404(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[336, 1973])).
% 1.03/1.07 tff(1975,plain,
% 1.03/1.07 (![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[179, 1974, 6, 4, 361])).
% 1.03/1.07 tff(1976,plain,
% 1.03/1.07 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[586, 360])).
% 1.03/1.07 tff(1977,plain,
% 1.03/1.07 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[478, 1976])).
% 1.03/1.07 tff(1978,plain,
% 1.03/1.07 (![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[422, 1977, 859, 381, 2])).
% 1.03/1.07 tff(1979,plain,
% 1.03/1.07 ((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[130, 1978])).
% 1.03/1.07 tff(1980,plain,
% 1.03/1.07 (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1204, 1979])).
% 1.03/1.07 tff(1981,plain,
% 1.03/1.07 ($false),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[72, 1980, 1975])).
% 1.03/1.07 tff(1982,plain,((~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | p402(X!0) | p401(X!0) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | p201(X!0) | p202(X!0) | p505(X!0) | p501(X!0) | p502(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.03/1.07 tff(1983,plain,
% 1.03/1.07 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1982, 1971, 1970, 859, 1969, 1942, 3, 536, 1941])).
% 1.03/1.07 tff(1984,plain,
% 1.03/1.07 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[275, 1983])).
% 1.03/1.07 tff(1985,plain,
% 1.03/1.07 (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1954, 1940])).
% 1.03/1.07 tff(1986,plain,
% 1.03/1.07 (~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[498, 1985])).
% 1.03/1.07 tff(1987,plain,
% 1.03/1.07 (p503(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[301, 1915, 3, 536, 238])).
% 1.03/1.07 tff(1988,plain,
% 1.03/1.07 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[678, 1987])).
% 1.03/1.07 tff(1989,plain,
% 1.03/1.07 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[478, 1988])).
% 1.03/1.07 tff(1990,plain,
% 1.03/1.07 (![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[422, 1989, 859, 381, 2])).
% 1.03/1.07 tff(1991,plain,
% 1.03/1.07 (~p403(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[245, 1987])).
% 1.03/1.07 tff(1992,plain,
% 1.03/1.07 (![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[179, 1991, 6, 4, 174])).
% 1.03/1.07 tff(1993,plain,
% 1.03/1.07 (p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[72, 1992])).
% 1.03/1.07 tff(1994,plain,
% 1.03/1.07 (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1204, 1993])).
% 1.03/1.07 tff(1995,plain,
% 1.03/1.07 ($false),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[130, 1994, 1990])).
% 1.03/1.07 tff(1996,plain,((~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | p201(X!0) | p202(X!0) | p402(X!0) | p401(X!0) | p505(X!0) | p501(X!0) | p502(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.03/1.07 tff(1997,plain,
% 1.03/1.07 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1996, 859, 1969, 1942, 1971, 1970, 3, 536, 1941])).
% 1.03/1.07 tff(1998,plain,
% 1.03/1.07 (~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[236, 1997])).
% 1.03/1.07 tff(1999,plain,
% 1.03/1.07 (![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[279, 1998, 1260, 1986, 1984])).
% 1.03/1.07 tff(2000,plain,
% 1.03/1.07 ((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[101, 1999])).
% 1.03/1.07 tff(2001,plain,
% 1.03/1.07 (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1512, 2000])).
% 1.03/1.07 tff(2002,plain,
% 1.03/1.07 (~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[72, 2001])).
% 1.03/1.07 tff(2003,plain,
% 1.03/1.07 (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1374, 2000])).
% 1.03/1.07 tff(2004,plain,
% 1.03/1.07 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[130, 2003])).
% 1.03/1.07 tff(2005,plain,
% 1.03/1.07 (![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[422, 2004, 859, 1969, 1942])).
% 1.03/1.07 tff(2006,plain,
% 1.03/1.07 ((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[478, 2005])).
% 1.03/1.07 tff(2007,plain,
% 1.03/1.07 (~p403(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[472, 2006])).
% 1.03/1.07 tff(2008,plain,
% 1.03/1.07 (p404(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[179, 2007, 1971, 1970, 2002])).
% 1.03/1.07 tff(2009,plain,
% 1.03/1.07 (~p503(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[678, 2006])).
% 1.03/1.07 tff(2010,plain,
% 1.03/1.07 (p504(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[301, 2009, 3, 536, 1941])).
% 1.03/1.07 tff(2011,plain,
% 1.03/1.07 ($false),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[336, 2010, 2008])).
% 1.03/1.07 tff(2012,plain,(![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | p505(X!0) | p501(X!0) | p605(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.03/1.07 tff(2013,plain,
% 1.03/1.07 (![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[2012, 536, 3, 683])).
% 1.03/1.07 tff(2014,plain,
% 1.03/1.07 ((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[457, 2013])).
% 1.03/1.07 tff(2015,plain,
% 1.03/1.07 (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[451, 2014])).
% 1.03/1.07 tff(2016,plain,
% 1.03/1.07 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[202, 2015])).
% 1.03/1.07 tff(2017,plain,
% 1.03/1.07 (~p504(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[654, 2014])).
% 1.03/1.07 tff(2018,plain,
% 1.03/1.07 (p503(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[301, 238, 3, 536, 2017])).
% 1.03/1.07 tff(2019,plain,
% 1.03/1.07 (~p403(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[245, 2018])).
% 1.03/1.07 tff(2020,plain,
% 1.03/1.07 (~p404(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[390, 2014])).
% 1.03/1.07 tff(2021,plain,
% 1.03/1.07 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[640, 2018])).
% 1.03/1.07 tff(2022,plain,
% 1.03/1.07 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[275, 2021])).
% 1.03/1.07 tff(2023,plain,
% 1.03/1.07 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[613, 2014])).
% 1.03/1.07 tff(2024,plain,
% 1.03/1.07 (~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[236, 2023])).
% 1.03/1.07 tff(2025,plain,
% 1.03/1.07 (![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[279, 1882, 1260, 2024, 2022])).
% 1.03/1.07 tff(2026,plain,
% 1.03/1.07 ((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[498, 2025])).
% 1.03/1.07 tff(2027,plain,
% 1.03/1.07 (~p602(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1278, 2026])).
% 1.03/1.07 tff(2028,plain,
% 1.03/1.07 (p601(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1218, 2027, 536, 3, 683, 2014, 238])).
% 1.03/1.07 tff(2029,plain,
% 1.03/1.07 (~p303(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[346, 2018])).
% 1.03/1.07 tff(2030,plain,
% 1.03/1.07 (~p302(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1954, 2026])).
% 1.03/1.07 tff(2031,plain,
% 1.03/1.07 (p301(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[208, 2030, 2029, 1884, 2016])).
% 1.03/1.07 tff(2032,plain,
% 1.03/1.07 ($false),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1569, 2031, 2028])).
% 1.03/1.07 tff(2033,plain,((~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))) | p501(X!0) | p505(X!0) | p605(X!0) | p502(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.03/1.07 tff(2034,plain,
% 1.03/1.07 (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[2033, 238, 3, 683, 536])).
% 1.03/1.07 tff(2035,plain,
% 1.03/1.07 (~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[72, 2034])).
% 1.03/1.07 tff(2036,plain,
% 1.03/1.07 (p402(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[179, 2035, 2020, 4, 2019])).
% 1.03/1.07 tff(2037,plain,
% 1.03/1.07 (~p302(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1061, 2036])).
% 1.03/1.07 tff(2038,plain,
% 1.03/1.07 (~p602(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1052, 2036])).
% 1.03/1.07 tff(2039,plain,
% 1.03/1.07 (p601(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1218, 2038, 536, 3, 683, 2014, 238])).
% 1.03/1.07 tff(2040,plain,
% 1.03/1.07 (~p301(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1569, 2039])).
% 1.03/1.07 tff(2041,plain,
% 1.03/1.07 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[208, 2040, 2029, 2037, 2016])).
% 1.03/1.07 tff(2042,plain,
% 1.03/1.07 (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1299, 2036])).
% 1.03/1.07 tff(2043,plain,
% 1.03/1.07 (~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[498, 2042])).
% 1.03/1.07 tff(2044,plain,
% 1.03/1.07 (![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[279, 2043, 1260, 2024, 2022])).
% 1.03/1.07 tff(2045,plain,
% 1.03/1.07 ((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[101, 2044])).
% 1.03/1.07 tff(2046,plain,
% 1.03/1.07 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[873, 2045])).
% 1.03/1.07 tff(2047,plain,
% 1.03/1.07 ($false),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[153, 2046, 2041])).
% 1.03/1.07 tff(2048,plain,(p502(X!0) | p501(X!0) | p505(X!0) | p605(X!0) | p401(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.03/1.07 tff(2049,plain,
% 1.03/1.07 (p502(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[2048, 4, 3, 683, 536])).
% 1.03/1.07 tff(2050,plain,
% 1.03/1.07 (~p302(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1024, 2049])).
% 1.03/1.07 tff(2051,plain,
% 1.03/1.07 (~p602(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1015, 2049])).
% 1.03/1.07 tff(2052,plain,
% 1.03/1.07 (~p604(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[839, 2014])).
% 1.03/1.07 tff(2053,plain,
% 1.03/1.07 (~p402(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1068, 2049])).
% 1.03/1.07 tff(2054,plain,
% 1.03/1.07 (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[534, 2049])).
% 1.03/1.07 tff(2055,plain,
% 1.03/1.07 (~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[498, 2054])).
% 1.03/1.07 tff(2056,plain,
% 1.03/1.07 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1316, 808])).
% 1.03/1.07 tff(2057,plain,
% 1.03/1.07 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[275, 2056])).
% 1.03/1.07 tff(2058,plain,
% 1.03/1.07 (![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[279, 2057, 579, 247, 1])).
% 1.03/1.07 tff(2059,plain,
% 1.03/1.07 (![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[179, 809, 1262, 4, 6])).
% 1.03/1.07 tff(2060,plain,
% 1.03/1.07 (p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[72, 2059])).
% 1.03/1.07 tff(2061,plain,
% 1.03/1.07 (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1512, 2060])).
% 1.03/1.07 tff(2062,plain,
% 1.03/1.07 ($false),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[101, 2061, 2058])).
% 1.03/1.07 tff(2063,plain,((~p603(X!0)) | p101(X!0) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | p404(X!0) | p401(X!0) | p402(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.03/1.07 tff(2064,plain,
% 1.03/1.07 (~p603(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[2063, 2055, 2024, 1260, 2020, 4, 2053])).
% 1.03/1.07 tff(2065,plain,
% 1.03/1.07 (p601(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[699, 2064, 683, 2052, 2051])).
% 1.03/1.07 tff(2066,plain,
% 1.03/1.07 (~p301(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1569, 2065])).
% 1.03/1.07 tff(2067,plain,
% 1.03/1.07 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[208, 363, 163, 5, 789])).
% 1.03/1.07 tff(2068,plain,
% 1.03/1.07 (p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[153, 2067])).
% 1.03/1.07 tff(2069,plain,
% 1.03/1.07 (![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[179, 361, 1262, 4, 6])).
% 1.03/1.07 tff(2070,plain,
% 1.03/1.07 (p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[72, 2069])).
% 1.03/1.07 tff(2071,plain,
% 1.03/1.07 ($false),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[938, 2070, 2068])).
% 1.03/1.07 tff(2072,plain,((~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | p404(X!0) | p401(X!0) | p402(X!0) | p301(X!0) | p302(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 1.03/1.07 tff(2073,plain,
% 1.03/1.07 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[2072, 4, 2020, 2053, 2066, 2050, 2016])).
% 1.03/1.07 tff(2074,plain,
% 1.03/1.07 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[275, 2073])).
% 1.03/1.07 tff(2075,plain,
% 1.03/1.07 (![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[279, 2074, 1260, 2024, 2055])).
% 1.03/1.07 tff(2076,plain,
% 1.03/1.07 ((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[101, 2075])).
% 1.03/1.07 tff(2077,plain,
% 1.03/1.07 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[873, 2076])).
% 1.03/1.07 tff(2078,plain,
% 1.03/1.07 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[153, 2077])).
% 1.03/1.07 tff(2079,plain,
% 1.03/1.07 (~p201(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1586, 2065])).
% 1.03/1.07 tff(2080,plain,
% 1.03/1.07 (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1757, 2053, 2050, 4, 2055, 683, 2051])).
% 1.03/1.07 tff(2081,plain,
% 1.03/1.07 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[130, 2080])).
% 1.03/1.07 tff(2082,plain,
% 1.03/1.07 (~p202(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[358, 2049])).
% 1.03/1.07 tff(2083,plain,
% 1.03/1.07 (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1512, 2076])).
% 1.03/1.07 tff(2084,plain,
% 1.03/1.07 (~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[72, 2083])).
% 1.03/1.07 tff(2085,plain,
% 1.03/1.07 (~p303(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[435, 2084, 2082, 2081, 4, 2053, 2079])).
% 1.03/1.07 tff(2086,plain,
% 1.03/1.07 ($false),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[208, 2085, 2078, 2066, 2050, 2016])).
% 1.03/1.07 tff(2087,plain,(p401(X!0) | p605(X!0) | p505(X!0) | p501(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.03/1.07 tff(2088,plain,
% 1.03/1.07 (p401(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[2087, 536, 3, 683])).
% 1.03/1.07 tff(2089,plain,
% 1.03/1.07 (~p601(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1579, 2088])).
% 1.03/1.07 tff(2090,plain,
% 1.03/1.07 (~p302(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1967, 2089, 683, 536, 3])).
% 1.03/1.07 tff(2091,plain,
% 1.03/1.07 (~p301(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1443, 2088])).
% 1.03/1.07 tff(2092,plain,
% 1.03/1.07 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1244, 2089, 683, 3, 536, 2014, 2091, 2090])).
% 1.03/1.07 tff(2093,plain,
% 1.03/1.07 (p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[153, 2092])).
% 1.03/1.07 tff(2094,plain,
% 1.03/1.07 (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[873, 2093])).
% 1.03/1.07 tff(2095,plain,
% 1.03/1.07 (~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[101, 2094])).
% 1.03/1.07 tff(2096,plain,
% 1.03/1.07 (p602(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1218, 238, 536, 3, 683, 2014, 2089])).
% 1.03/1.07 tff(2097,plain,
% 1.03/1.07 (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1278, 2096])).
% 1.03/1.07 tff(2098,plain,
% 1.03/1.07 (~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[498, 2097])).
% 1.03/1.07 tff(2099,plain,
% 1.03/1.07 ($false),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[279, 2098, 2022, 1260, 2024, 2095])).
% 1.03/1.07 tff(2100,plain,(p502(X!0) | p501(X!0) | p505(X!0) | p605(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.03/1.07 tff(2101,plain,
% 1.03/1.07 (p502(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[2100, 536, 3, 683])).
% 1.03/1.07 tff(2102,plain,
% 1.03/1.07 (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[534, 2101])).
% 1.03/1.07 tff(2103,plain,
% 1.03/1.07 (~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[498, 2102])).
% 1.03/1.07 tff(2104,plain,
% 1.03/1.07 (![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[279, 2103, 1260, 2024, 2095])).
% 1.03/1.07 tff(2105,plain,
% 1.03/1.07 (~p602(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1015, 2101])).
% 1.03/1.07 tff(2106,plain,
% 1.03/1.07 (p603(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[699, 2105, 683, 2052, 2089])).
% 1.03/1.07 tff(2107,plain,
% 1.03/1.07 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[1316, 2106])).
% 1.03/1.07 tff(2108,plain,
% 1.03/1.07 ($false),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[275, 2107, 2104])).
% 1.03/1.07 tff(2109,plain,(p501(X!0) | p605(X!0) | p505(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.03/1.07 tff(2110,plain,
% 1.03/1.07 (p501(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[2109, 858, 683])).
% 1.03/1.07 tff(2111,plain,
% 1.03/1.07 (~p201(X!0)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[522, 2110])).
% 1.03/1.07 tff(2112,plain,
% 1.03/1.07 (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[1204, 857])).
% 1.03/1.08 tff(2113,plain,
% 1.03/1.08 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[130, 2112])).
% 1.03/1.08 tff(2114,plain,
% 1.03/1.08 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[938, 857])).
% 1.03/1.08 tff(2115,plain,
% 1.03/1.08 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[153, 2114])).
% 1.03/1.08 tff(2116,plain,
% 1.03/1.08 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[478, 406])).
% 1.03/1.08 tff(2117,plain,
% 1.03/1.08 (![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[422, 2116, 165, 381, 2])).
% 1.03/1.08 tff(2118,plain,
% 1.03/1.08 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[839, 700])).
% 1.03/1.08 tff(2119,plain,
% 1.03/1.08 ($false),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[457, 2118, 2117])).
% 1.03/1.08 tff(2120,plain,((~p303(X!0)) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p201(X!0) | p202(X!0) | p605(X!0) | p602(X!0) | p601(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.03/1.08 tff(2121,plain,
% 1.03/1.08 (~p303(X!0)),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[2120, 2113, 2111, 687, 683, 685, 684])).
% 1.03/1.08 tff(2122,plain,
% 1.03/1.08 (![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[208, 2121, 163, 2115, 5])).
% 1.03/1.08 tff(2123,plain,
% 1.03/1.08 ((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0))),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[202, 2122])).
% 1.03/1.08 tff(2124,plain,
% 1.03/1.08 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[451, 2123])).
% 1.03/1.08 tff(2125,plain,
% 1.03/1.08 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[457, 2124])).
% 1.03/1.08 tff(2126,plain,
% 1.03/1.08 (![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[422, 2125, 2113, 2111, 687])).
% 1.03/1.08 tff(2127,plain,
% 1.03/1.08 (~p604(X!0)),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[782, 2123])).
% 1.03/1.08 tff(2128,plain,
% 1.03/1.08 (p603(X!0)),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[699, 2127, 683, 685, 684])).
% 1.03/1.08 tff(2129,plain,
% 1.03/1.08 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[824, 2128])).
% 1.03/1.08 tff(2130,plain,
% 1.03/1.08 ($false),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[478, 2129, 2126])).
% 1.03/1.08 tff(2131,plain,((~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | p605(X!0) | p602(X!0) | p601(X!0) | p301(X!0) | p302(X!0) | p401(X!0) | p402(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.03/1.08 tff(2132,plain,
% 1.03/1.08 (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[2131, 685, 683, 684, 163, 5, 4, 6])).
% 1.03/1.08 tff(2133,plain,
% 1.03/1.08 (~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[498, 2132])).
% 1.03/1.08 tff(2134,plain,
% 1.03/1.08 (![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[1775, 2133, 684, 683, 163, 4, 5, 685, 6])).
% 1.03/1.08 tff(2135,plain,
% 1.03/1.08 (p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0)))),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[72, 2134])).
% 1.03/1.08 tff(2136,plain,
% 1.03/1.08 (![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[1775, 1, 684, 683, 163, 4, 5, 685, 6])).
% 1.03/1.08 tff(2137,plain,
% 1.03/1.08 (p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0)))),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[72, 2136])).
% 1.03/1.08 tff(2138,plain,
% 1.03/1.08 (p603(X!0)),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[699, 685, 683, 1727, 684])).
% 1.03/1.08 tff(2139,plain,
% 1.03/1.08 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[824, 2138])).
% 1.03/1.08 tff(2140,plain,
% 1.03/1.08 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[478, 2139])).
% 1.03/1.08 tff(2141,plain,
% 1.03/1.08 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[613, 167])).
% 1.03/1.08 tff(2142,plain,
% 1.03/1.08 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[457, 2141])).
% 1.03/1.08 tff(2143,plain,
% 1.03/1.08 (![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[1730, 685, 4, 683, 684, 167, 6])).
% 1.03/1.08 tff(2144,plain,
% 1.03/1.08 (p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0)))),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[72, 2143])).
% 1.03/1.08 tff(2145,plain,
% 1.03/1.08 (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[1204, 2144])).
% 1.03/1.08 tff(2146,plain,
% 1.03/1.08 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[130, 2145])).
% 1.03/1.08 tff(2147,plain,
% 1.03/1.08 (p202(X!0)),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[422, 2146, 2142, 381, 2140])).
% 1.03/1.08 tff(2148,plain,
% 1.03/1.08 (~p303(X!0)),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[1787, 685, 684, 683, 1, 166])).
% 1.03/1.08 tff(2149,plain,
% 1.03/1.08 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[938, 2144])).
% 1.03/1.08 tff(2150,plain,
% 1.03/1.08 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[153, 2149])).
% 1.03/1.08 tff(2151,plain,
% 1.03/1.08 (p302(X!0)),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[208, 2150, 163, 2148, 203])).
% 1.03/1.08 tff(2152,plain,
% 1.03/1.08 ($false),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[910, 2151, 2147])).
% 1.03/1.08 tff(2153,plain,(p602(X!0) | p301(X!0) | p201(X!0) | p601(X!0) | p605(X!0) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | p401(X!0) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))) | p402(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.03/1.08 tff(2154,plain,
% 1.03/1.08 (p602(X!0)),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[2153, 6, 381, 684, 683, 1, 166, 4, 167, 163])).
% 1.03/1.08 tff(2155,plain,
% 1.03/1.08 (~p302(X!0)),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[958, 2154])).
% 1.03/1.08 tff(2156,plain,
% 1.03/1.08 (~p202(X!0)),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[924, 2154])).
% 1.03/1.08 tff(2157,plain,
% 1.03/1.08 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[220, 164, 4, 167, 163, 5, 6])).
% 1.03/1.08 tff(2158,plain,
% 1.03/1.08 (p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0)))),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[153, 2157])).
% 1.03/1.08 tff(2159,plain,
% 1.03/1.08 (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[805, 2158])).
% 1.03/1.08 tff(2160,plain,
% 1.03/1.08 (p403(X!0)),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[179, 164, 4, 174, 6])).
% 1.03/1.08 tff(2161,plain,
% 1.03/1.08 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[472, 2160])).
% 1.03/1.08 tff(2162,plain,
% 1.03/1.08 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[478, 2161])).
% 1.03/1.08 tff(2163,plain,
% 1.03/1.08 (![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[422, 2162, 2142, 381, 2])).
% 1.03/1.08 tff(2164,plain,
% 1.03/1.08 ($false),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[130, 2163, 2159])).
% 1.03/1.08 tff(2165,plain,(![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p201(X!0) | p202(X!0) | p401(X!0) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))) | p301(X!0) | p302(X!0) | p402(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.03/1.08 tff(2166,plain,
% 1.03/1.08 (![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[2165, 2156, 381, 4, 167, 163, 2155, 6])).
% 1.03/1.08 tff(2167,plain,
% 1.03/1.08 (p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0)))),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[72, 2166])).
% 1.03/1.08 tff(2168,plain,
% 1.03/1.08 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[938, 2167])).
% 1.03/1.08 tff(2169,plain,
% 1.03/1.08 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[153, 2168])).
% 1.03/1.08 tff(2170,plain,
% 1.03/1.08 (p303(X!0)),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[208, 2169, 163, 2155, 203])).
% 1.03/1.08 tff(2171,plain,
% 1.03/1.08 (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[1204, 2167])).
% 1.03/1.08 tff(2172,plain,
% 1.03/1.08 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[130, 2171])).
% 1.03/1.08 tff(2173,plain,
% 1.03/1.08 (![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[422, 2172, 2142, 381, 2156])).
% 1.03/1.08 tff(2174,plain,
% 1.03/1.08 ((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[478, 2173])).
% 1.10/1.08 tff(2175,plain,
% 1.10/1.08 ($false),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[405, 2174, 2170])).
% 1.10/1.08 tff(2176,plain,(p402(X!0) | p301(X!0) | p201(X!0) | p401(X!0) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))) | p601(X!0) | p605(X!0) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 1.10/1.08 tff(2177,plain,
% 1.10/1.08 (p402(X!0)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[2176, 167, 381, 4, 163, 684, 683, 1, 166])).
% 1.10/1.08 tff(2178,plain,
% 1.10/1.08 (~p202(X!0)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[917, 2177])).
% 1.10/1.08 tff(2179,plain,
% 1.10/1.08 (~p602(X!0)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[1052, 2177])).
% 1.10/1.08 tff(2180,plain,
% 1.10/1.08 (p603(X!0)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[699, 2179, 683, 1727, 684])).
% 1.10/1.08 tff(2181,plain,
% 1.10/1.08 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[824, 2180])).
% 1.10/1.08 tff(2182,plain,
% 1.10/1.08 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[478, 2181])).
% 1.10/1.08 tff(2183,plain,
% 1.10/1.08 (![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[422, 2182, 2142, 381, 2178])).
% 1.10/1.08 tff(2184,plain,
% 1.10/1.08 (~p302(X!0)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[1061, 2177])).
% 1.10/1.08 tff(2185,plain,
% 1.10/1.08 (~p303(X!0)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[1787, 2179, 684, 683, 1, 166])).
% 1.10/1.08 tff(2186,plain,
% 1.10/1.08 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[208, 2185, 163, 2184, 203])).
% 1.10/1.08 tff(2187,plain,
% 1.10/1.08 (p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[153, 2186])).
% 1.10/1.08 tff(2188,plain,
% 1.10/1.08 (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[805, 2187])).
% 1.10/1.08 tff(2189,plain,
% 1.10/1.08 ($false),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[130, 2188, 2183])).
% 1.10/1.08 tff(2190,plain,((~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))) | p201(X!0) | p301(X!0) | p601(X!0) | p605(X!0) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | p401(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.10/1.08 tff(2191,plain,
% 1.10/1.08 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[2190, 1, 163, 684, 683, 381, 166, 4])).
% 1.10/1.08 tff(2192,plain,
% 1.10/1.08 (~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[236, 2191])).
% 1.10/1.08 tff(2193,plain,
% 1.10/1.08 (![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[279, 2192, 1260, 1, 166])).
% 1.10/1.08 tff(2194,plain,
% 1.10/1.08 ((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[275, 2193])).
% 1.10/1.08 tff(2195,plain,
% 1.10/1.08 (~p603(X!0)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[1316, 360])).
% 1.10/1.08 tff(2196,plain,
% 1.10/1.08 (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[782, 732])).
% 1.10/1.08 tff(2197,plain,
% 1.10/1.08 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[202, 2196])).
% 1.10/1.08 tff(2198,plain,
% 1.10/1.08 ($false),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[2072, 2197, 735, 4, 360, 163, 6, 5])).
% 1.10/1.08 tff(2199,plain,((~p604(X!0)) | p401(X!0) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | p301(X!0) | p402(X!0) | p302(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.10/1.08 tff(2200,plain,
% 1.10/1.08 (~p604(X!0)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[2199, 5, 360, 163, 6, 4])).
% 1.10/1.08 tff(2201,plain,
% 1.10/1.08 (p602(X!0)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[699, 2200, 683, 2195, 684])).
% 1.10/1.08 tff(2202,plain,
% 1.10/1.08 (~p202(X!0)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[924, 2201])).
% 1.10/1.08 tff(2203,plain,
% 1.10/1.08 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[390, 1864])).
% 1.10/1.08 tff(2204,plain,
% 1.10/1.08 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[457, 2203])).
% 1.10/1.08 tff(2205,plain,
% 1.10/1.08 (![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[422, 2204, 607, 381, 2])).
% 1.10/1.08 tff(2206,plain,
% 1.10/1.08 ((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[130, 2205])).
% 1.10/1.08 tff(2207,plain,
% 1.10/1.08 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[208, 1866, 163, 860, 5])).
% 1.10/1.08 tff(2208,plain,
% 1.10/1.08 (p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[153, 2207])).
% 1.10/1.08 tff(2209,plain,
% 1.10/1.08 ($false),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[805, 2208, 2206])).
% 1.10/1.08 tff(2210,plain,((~p404(X!0)) | p301(X!0) | p303(X!0) | p302(X!0) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | p201(X!0) | p202(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.10/1.08 tff(2211,plain,
% 1.10/1.08 (~p404(X!0)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[2210, 5, 363, 163, 1977, 381, 2202])).
% 1.10/1.08 tff(2212,plain,
% 1.10/1.08 (![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[2072, 2211, 4, 360, 163, 6, 5])).
% 1.10/1.08 tff(2213,plain,
% 1.10/1.08 ((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[202, 2212])).
% 1.10/1.08 tff(2214,plain,
% 1.10/1.08 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[451, 2213])).
% 1.10/1.08 tff(2215,plain,
% 1.10/1.08 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[457, 2214])).
% 1.10/1.08 tff(2216,plain,
% 1.10/1.08 (![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[179, 2211, 4, 6, 361])).
% 1.10/1.08 tff(2217,plain,
% 1.10/1.08 (p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[72, 2216])).
% 1.10/1.08 tff(2218,plain,
% 1.10/1.08 (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[1204, 2217])).
% 1.10/1.08 tff(2219,plain,
% 1.10/1.08 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[130, 2218])).
% 1.10/1.08 tff(2220,plain,
% 1.10/1.08 ($false),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[422, 2219, 2215, 1977, 381, 2202])).
% 1.10/1.08 tff(2221,plain,(p302(X!0) | p201(X!0) | p401(X!0) | p402(X!0) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | p301(X!0) | p605(X!0) | p601(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.10/1.08 tff(2222,plain,
% 1.10/1.08 (p302(X!0)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[2221, 6, 4, 381, 2194, 163, 683, 684])).
% 1.10/1.08 tff(2223,plain,
% 1.10/1.08 (~p602(X!0)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[958, 2222])).
% 1.10/1.08 tff(2224,plain,
% 1.10/1.08 (![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[1742, 2223, 684, 4, 683, 6, 166, 1])).
% 1.10/1.08 tff(2225,plain,
% 1.10/1.08 (p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[72, 2224])).
% 1.10/1.08 tff(2226,plain,
% 1.10/1.08 (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[1204, 2225])).
% 1.10/1.08 tff(2227,plain,
% 1.10/1.08 (~p202(X!0)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[910, 2222])).
% 1.10/1.08 tff(2228,plain,
% 1.10/1.08 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[586, 2194])).
% 1.10/1.08 tff(2229,plain,
% 1.10/1.08 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[478, 2228])).
% 1.10/1.08 tff(2230,plain,
% 1.10/1.08 (~p603(X!0)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[1316, 2194])).
% 1.10/1.08 tff(2231,plain,
% 1.10/1.08 (p604(X!0)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[699, 2223, 683, 2230, 684])).
% 1.10/1.08 tff(2232,plain,
% 1.10/1.08 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[839, 2231])).
% 1.10/1.08 tff(2233,plain,
% 1.10/1.08 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[457, 2232])).
% 1.10/1.08 tff(2234,plain,
% 1.10/1.08 (![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[422, 2233, 2229, 381, 2227])).
% 1.10/1.08 tff(2235,plain,
% 1.10/1.08 ($false),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[130, 2234, 2226])).
% 1.10/1.08 tff(2236,plain,(p402(X!0) | p201(X!0) | p601(X!0) | p401(X!0) | p605(X!0) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | p301(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.10/1.08 tff(2237,plain,
% 1.10/1.08 (p201(X!0)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[2236, 1, 6, 4, 684, 683, 166, 163])).
% 1.10/1.08 tff(2238,plain,
% 1.10/1.08 (~p501(X!0)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[522, 2237])).
% 1.10/1.08 tff(2239,plain,
% 1.10/1.08 (p505(X!0)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[2087, 2238, 4, 683])).
% 1.10/1.08 tff(2240,plain,
% 1.10/1.08 ($false),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[717, 2239, 2137])).
% 1.10/1.08 tff(2241,plain,(![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | p401(X!0) | p605(X!0) | p601(X!0) | p301(X!0) | p302(X!0) | p602(X!0) | p402(X!0) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 1.10/1.08 tff(2242,plain,
% 1.10/1.08 (![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[2241, 2133, 683, 684, 163, 5, 685, 6, 4])).
% 1.10/1.08 tff(2243,plain,
% 1.10/1.08 ((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[101, 2242])).
% 1.10/1.08 tff(2244,plain,
% 1.10/1.08 ($false),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[1512, 2243, 2135])).
% 1.10/1.08 tff(2245,plain,(p602(X!0) | p605(X!0) | p601(X!0) | p301(X!0) | p302(X!0) | p402(X!0) | p401(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.10/1.08 tff(2246,plain,
% 1.10/1.08 (p602(X!0)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[2245, 163, 684, 683, 5, 6, 4])).
% 1.10/1.08 tff(2247,plain,
% 1.10/1.08 (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[1278, 2246])).
% 1.10/1.08 tff(2248,plain,
% 1.10/1.08 (~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[498, 2247])).
% 1.10/1.08 tff(2249,plain,
% 1.10/1.08 (p402(X!0)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[2236, 1, 684, 4, 683, 166, 381, 163])).
% 1.10/1.08 tff(2250,plain,
% 1.10/1.08 (~p202(X!0)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[917, 2249])).
% 1.10/1.08 tff(2251,plain,
% 1.10/1.08 (~p602(X!0)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[1052, 2249])).
% 1.10/1.08 tff(2252,plain,
% 1.10/1.08 (p604(X!0)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[699, 2251, 683, 2230, 684])).
% 1.10/1.08 tff(2253,plain,
% 1.10/1.08 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[839, 2252])).
% 1.10/1.08 tff(2254,plain,
% 1.10/1.08 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[457, 2253])).
% 1.10/1.08 tff(2255,plain,
% 1.10/1.08 (![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[422, 2254, 2229, 381, 2250])).
% 1.10/1.08 tff(2256,plain,
% 1.10/1.08 ((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[130, 2255])).
% 1.10/1.08 tff(2257,plain,
% 1.10/1.08 (~p302(X!0)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[1061, 2249])).
% 1.10/1.08 tff(2258,plain,
% 1.10/1.08 (~p303(X!0)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[325, 2194])).
% 1.10/1.08 tff(2259,plain,
% 1.10/1.08 (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[782, 2252])).
% 1.10/1.08 tff(2260,plain,
% 1.10/1.08 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[202, 2259])).
% 1.10/1.08 tff(2261,plain,
% 1.10/1.08 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[208, 2260, 163, 2258, 2257])).
% 1.10/1.08 tff(2262,plain,
% 1.10/1.08 (p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[153, 2261])).
% 1.10/1.08 tff(2263,plain,
% 1.10/1.08 ($false),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[805, 2262, 2256])).
% 1.10/1.08 tff(2264,plain,(![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | p301(X!0) | p201(X!0) | p605(X!0) | p601(X!0) | p401(X!0) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 1.10/1.08 tff(2265,plain,
% 1.10/1.08 (![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[2264, 381, 2248, 683, 684, 4, 163])).
% 1.10/1.08 tff(2266,plain,
% 1.10/1.08 ((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[101, 2265])).
% 1.10/1.08 tff(2267,plain,
% 1.10/1.08 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[873, 2266])).
% 1.10/1.08 tff(2268,plain,
% 1.10/1.08 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[153, 2267])).
% 1.10/1.08 tff(2269,plain,
% 1.10/1.08 (~p202(X!0)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[924, 2246])).
% 1.10/1.08 tff(2270,plain,
% 1.10/1.08 (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[1374, 2266])).
% 1.10/1.08 tff(2271,plain,
% 1.10/1.08 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[130, 2270])).
% 1.10/1.08 tff(2272,plain,
% 1.10/1.08 (~p303(X!0)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[435, 2271, 4, 164, 2269, 6, 381])).
% 1.10/1.08 tff(2273,plain,
% 1.10/1.08 (![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[208, 2272, 163, 2268, 5])).
% 1.10/1.08 tff(2274,plain,
% 1.10/1.08 (p604(X!0)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[1125, 2271, 684, 164, 4, 6, 163, 2269, 683, 2268, 381])).
% 1.10/1.08 tff(2275,plain,
% 1.10/1.08 (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[782, 2274])).
% 1.10/1.08 tff(2276,plain,
% 1.10/1.08 ($false),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[202, 2275, 2273])).
% 1.10/1.08 tff(2277,plain,(p201(X!0) | p301(X!0) | p302(X!0) | p601(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p401(X!0) | p402(X!0) | p605(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.10/1.08 tff(2278,plain,
% 1.10/1.08 (p201(X!0)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[2277, 164, 5, 684, 163, 4, 6, 683])).
% 1.10/1.08 tff(2279,plain,
% 1.10/1.08 (~p501(X!0)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[522, 2278])).
% 1.10/1.08 tff(2280,plain,
% 1.10/1.08 (p505(X!0)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[2087, 2279, 4, 683])).
% 1.10/1.08 tff(2281,plain,
% 1.10/1.08 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[768, 2280])).
% 1.10/1.08 tff(2282,plain,
% 1.10/1.08 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[153, 2281])).
% 1.10/1.08 tff(2283,plain,
% 1.10/1.08 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))),
% 1.10/1.08 inference(tautology,[status(thm)],[])).
% 1.10/1.08 tff(2284,plain,
% 1.10/1.08 (![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[2283, 51])).
% 1.10/1.08 tff(2285,plain,
% 1.10/1.08 (((~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | (~p505(X!0)))) <=> ((~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | (~p505(X!0)))),
% 1.10/1.08 inference(rewrite,[status(thm)],[])).
% 1.10/1.08 tff(2286,plain,
% 1.10/1.08 (((~p505(X!0)) | (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | (~r1(X!0, X!0))) <=> ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | (~p505(X!0)))),
% 1.10/1.08 inference(rewrite,[status(thm)],[])).
% 1.10/1.08 tff(2287,plain,
% 1.10/1.08 (((~p505(X!0)) | (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | (~r1(X!0, X!0))) <=> ((~p505(X!0)) | (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | (~r1(X!0, X!0)))),
% 1.10/1.08 inference(monotonicity,[status(thm)],[78])).
% 1.10/1.08 tff(2288,plain,
% 1.10/1.08 (((~p505(X!0)) | (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | (~r1(X!0, X!0))) <=> ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | (~p505(X!0)))),
% 1.10/1.08 inference(transitivity,[status(thm)],[2287, 2286])).
% 1.10/1.08 tff(2289,plain,
% 1.10/1.08 (((~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | ((~p505(X!0)) | (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | (~r1(X!0, X!0)))) <=> ((~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | (~p505(X!0))))),
% 1.10/1.08 inference(monotonicity,[status(thm)],[2288])).
% 1.10/1.08 tff(2290,plain,
% 1.10/1.08 (((~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | ((~p505(X!0)) | (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | (~r1(X!0, X!0)))) <=> ((~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | (~p505(X!0)))),
% 1.10/1.08 inference(transitivity,[status(thm)],[2289, 2285])).
% 1.10/1.08 tff(2291,plain,
% 1.10/1.08 ((~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | ((~p505(X!0)) | (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | (~r1(X!0, X!0)))),
% 1.10/1.08 inference(quant_inst,[status(thm)],[])).
% 1.10/1.08 tff(2292,plain,
% 1.10/1.08 ((~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | (~p505(X!0))),
% 1.10/1.08 inference(modus_ponens,[status(thm)],[2291, 2290])).
% 1.10/1.08 tff(2293,plain,
% 1.10/1.08 ((~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | (~p505(X!0))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[2292, 16, 2284])).
% 1.10/1.08 tff(2294,plain,
% 1.10/1.08 (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[2293, 2280])).
% 1.10/1.08 tff(2295,plain,
% 1.10/1.08 (~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[101, 2294])).
% 1.10/1.08 tff(2296,plain,
% 1.10/1.08 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[220, 2282, 4, 164, 163, 5, 6])).
% 1.10/1.08 tff(2297,plain,
% 1.10/1.08 (~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[236, 2296])).
% 1.10/1.08 tff(2298,plain,
% 1.10/1.08 (![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[279, 2297, 1260, 2248, 2295])).
% 1.10/1.08 tff(2299,plain,
% 1.10/1.08 ((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[275, 2298])).
% 1.10/1.08 tff(2300,plain,
% 1.10/1.08 (~p303(X!0)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[325, 2299])).
% 1.10/1.08 tff(2301,plain,
% 1.10/1.08 (p404(X!0)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[1286, 2297, 4, 1260, 2246, 164, 2295])).
% 1.10/1.08 tff(2302,plain,
% 1.10/1.08 (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[311, 2301])).
% 1.10/1.08 tff(2303,plain,
% 1.10/1.08 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[202, 2302])).
% 1.10/1.08 tff(2304,plain,
% 1.10/1.08 ($false),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[208, 2303, 2300, 163, 2282, 5])).
% 1.10/1.08 tff(2305,plain,(![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p301(X!0) | p302(X!0) | p401(X!0) | p402(X!0) | p605(X!0) | p601(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.10/1.08 tff(2306,plain,
% 1.10/1.08 (![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[2305, 163, 5, 4, 6, 683, 684])).
% 1.10/1.08 tff(2307,plain,
% 1.10/1.08 (p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[72, 2306])).
% 1.10/1.08 tff(2308,plain,
% 1.10/1.08 (~p505(X!0)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[717, 2307])).
% 1.10/1.08 tff(2309,plain,
% 1.10/1.08 (p501(X!0)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[2109, 2308, 683])).
% 1.10/1.08 tff(2310,plain,
% 1.10/1.08 (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[1512, 2307])).
% 1.10/1.08 tff(2311,plain,
% 1.10/1.08 (~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[101, 2310])).
% 1.10/1.08 tff(2312,plain,
% 1.10/1.08 (p201(X!0)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[2236, 2311, 6, 4, 684, 683, 2248, 163])).
% 1.10/1.08 tff(2313,plain,
% 1.10/1.08 ($false),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[522, 2312, 2309])).
% 1.10/1.08 tff(2314,plain,(p301(X!0) | p402(X!0) | p401(X!0) | p601(X!0) | p605(X!0) | p302(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.10/1.08 tff(2315,plain,
% 1.10/1.08 (p301(X!0)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[2314, 683, 4, 684, 6, 5])).
% 1.10/1.08 tff(2316,plain,
% 1.10/1.08 (~p501(X!0)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[577, 2315])).
% 1.10/1.08 tff(2317,plain,
% 1.10/1.08 (p505(X!0)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[2087, 2316, 4, 683])).
% 1.10/1.08 tff(2318,plain,
% 1.10/1.08 (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[2293, 2317])).
% 1.10/1.08 tff(2319,plain,
% 1.10/1.08 (~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[101, 2318])).
% 1.10/1.08 tff(2320,plain,
% 1.10/1.08 (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[717, 2317])).
% 1.10/1.08 tff(2321,plain,
% 1.10/1.08 (~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[72, 2320])).
% 1.10/1.08 tff(2322,plain,
% 1.10/1.08 (~p201(X!0)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[567, 2315])).
% 1.10/1.08 tff(2323,plain,
% 1.10/1.08 (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[1101, 2317])).
% 1.10/1.08 tff(2324,plain,
% 1.10/1.08 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[130, 2323])).
% 1.10/1.08 tff(2325,plain,
% 1.10/1.08 (![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[1742, 685, 684, 4, 683, 164, 166, 6])).
% 1.10/1.08 tff(2326,plain,
% 1.10/1.08 ((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[498, 2325])).
% 1.10/1.08 tff(2327,plain,
% 1.10/1.08 (~p202(X!0)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[511, 2326])).
% 1.10/1.08 tff(2328,plain,
% 1.10/1.08 (~p603(X!0)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[831, 2327, 4, 381, 6, 164, 165])).
% 1.10/1.08 tff(2329,plain,
% 1.10/1.08 (p604(X!0)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[699, 2328, 683, 685, 684])).
% 1.10/1.08 tff(2330,plain,
% 1.10/1.08 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[839, 2329])).
% 1.10/1.08 tff(2331,plain,
% 1.10/1.08 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[457, 2330])).
% 1.10/1.08 tff(2332,plain,
% 1.10/1.08 (![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[422, 2331, 165, 381, 2327])).
% 1.10/1.08 tff(2333,plain,
% 1.10/1.08 (~p404(X!0)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[726, 2329])).
% 1.10/1.09 tff(2334,plain,
% 1.10/1.09 (p403(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[179, 2333, 4, 6, 164])).
% 1.10/1.09 tff(2335,plain,
% 1.10/1.09 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[472, 2334])).
% 1.10/1.09 tff(2336,plain,
% 1.10/1.09 ($false),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[478, 2335, 2332])).
% 1.10/1.09 tff(2337,plain,(p602(X!0) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p201(X!0) | p401(X!0) | p402(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p605(X!0) | p601(X!0) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 1.10/1.09 tff(2338,plain,
% 1.10/1.09 (p602(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[2337, 2324, 2322, 4, 6, 2321, 683, 684, 2319])).
% 1.10/1.09 tff(2339,plain,
% 1.10/1.09 (~p202(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[924, 2338])).
% 1.10/1.09 tff(2340,plain,
% 1.10/1.09 (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[1278, 2338])).
% 1.10/1.09 tff(2341,plain,
% 1.10/1.09 (~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[498, 2340])).
% 1.10/1.09 tff(2342,plain,
% 1.10/1.09 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[594, 1260, 2341, 2319, 4, 6, 2321])).
% 1.10/1.09 tff(2343,plain,
% 1.10/1.09 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[478, 2342])).
% 1.10/1.09 tff(2344,plain,
% 1.10/1.09 (![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[422, 2343, 2324, 2322, 2339])).
% 1.10/1.09 tff(2345,plain,
% 1.10/1.09 ((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[457, 2344])).
% 1.10/1.09 tff(2346,plain,
% 1.10/1.09 (~p404(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[390, 2345])).
% 1.10/1.09 tff(2347,plain,
% 1.10/1.09 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[613, 2345])).
% 1.10/1.09 tff(2348,plain,
% 1.10/1.09 (~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[236, 2347])).
% 1.10/1.09 tff(2349,plain,
% 1.10/1.09 ($false),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[1286, 2348, 2346, 4, 1260, 2338, 2321, 2319])).
% 1.10/1.09 tff(2350,plain,(p605(X!0) | p401(X!0) | p402(X!0) | p601(X!0) | p302(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.10/1.09 tff(2351,plain,
% 1.10/1.09 (p601(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[2350, 682, 6, 4, 5])).
% 1.10/1.09 tff(2352,plain,
% 1.10/1.09 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))),
% 1.10/1.09 inference(tautology,[status(thm)],[])).
% 1.10/1.09 tff(2353,plain,
% 1.10/1.09 (![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[2352, 51])).
% 1.10/1.09 tff(2354,plain,
% 1.10/1.09 (((~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | ((~r1(X!0, X!0)) | (~p601(X!0)) | (~p501(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~r1(X!0, X!0)) | (~p601(X!0)) | (~p501(X!0)))),
% 1.10/1.09 inference(rewrite,[status(thm)],[])).
% 1.10/1.09 tff(2355,plain,
% 1.10/1.09 (((~r1(X!0, X!0)) | (~p501(X!0)) | (~p601(X!0))) <=> ((~r1(X!0, X!0)) | (~p601(X!0)) | (~p501(X!0)))),
% 1.10/1.09 inference(rewrite,[status(thm)],[])).
% 1.10/1.09 tff(2356,plain,
% 1.10/1.09 (((~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | ((~r1(X!0, X!0)) | (~p501(X!0)) | (~p601(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | ((~r1(X!0, X!0)) | (~p601(X!0)) | (~p501(X!0))))),
% 1.10/1.09 inference(monotonicity,[status(thm)],[2355])).
% 1.10/1.09 tff(2357,plain,
% 1.10/1.09 (((~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | ((~r1(X!0, X!0)) | (~p501(X!0)) | (~p601(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~r1(X!0, X!0)) | (~p601(X!0)) | (~p501(X!0)))),
% 1.10/1.09 inference(transitivity,[status(thm)],[2356, 2354])).
% 1.10/1.09 tff(2358,plain,
% 1.10/1.09 ((~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | ((~r1(X!0, X!0)) | (~p501(X!0)) | (~p601(X!0)))),
% 1.10/1.09 inference(quant_inst,[status(thm)],[])).
% 1.10/1.09 tff(2359,plain,
% 1.10/1.09 ((~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~r1(X!0, X!0)) | (~p601(X!0)) | (~p501(X!0))),
% 1.10/1.09 inference(modus_ponens,[status(thm)],[2358, 2357])).
% 1.10/1.09 tff(2360,plain,
% 1.10/1.09 ((~p601(X!0)) | (~p501(X!0))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[2359, 16, 2353])).
% 1.10/1.09 tff(2361,plain,
% 1.10/1.09 (~p501(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[2360, 2351])).
% 1.10/1.09 tff(2362,plain,
% 1.10/1.09 (p505(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[2087, 2361, 4, 682])).
% 1.10/1.09 tff(2363,plain,
% 1.10/1.09 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[768, 2362])).
% 1.10/1.09 tff(2364,plain,
% 1.10/1.09 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[153, 2363])).
% 1.10/1.09 tff(2365,plain,
% 1.10/1.09 (~p201(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[1586, 2351])).
% 1.10/1.09 tff(2366,plain,
% 1.10/1.09 (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[717, 2362])).
% 1.10/1.09 tff(2367,plain,
% 1.10/1.09 (~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[72, 2366])).
% 1.10/1.09 tff(2368,plain,
% 1.10/1.09 (~p301(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[1569, 2351])).
% 1.10/1.09 tff(2369,plain,
% 1.10/1.09 (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[1101, 2362])).
% 1.10/1.09 tff(2370,plain,
% 1.10/1.09 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[130, 2369])).
% 1.10/1.09 tff(2371,plain,
% 1.10/1.09 (p202(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[480, 2370, 2368, 4, 6, 2367, 2365, 2364, 5])).
% 1.10/1.09 tff(2372,plain,
% 1.10/1.09 (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[511, 2371])).
% 1.10/1.09 tff(2373,plain,
% 1.10/1.09 (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[2293, 2362])).
% 1.10/1.09 tff(2374,plain,
% 1.10/1.09 (~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[101, 2373])).
% 1.10/1.09 tff(2375,plain,
% 1.10/1.09 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[367, 2367, 6, 2368, 4, 2364, 5])).
% 1.10/1.09 tff(2376,plain,
% 1.10/1.09 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[275, 2375])).
% 1.10/1.09 tff(2377,plain,
% 1.10/1.09 (~p101(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[1259, 682])).
% 1.10/1.09 tff(2378,plain,
% 1.10/1.09 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[220, 2367, 4, 2368, 2364, 5, 6])).
% 1.10/1.09 tff(2379,plain,
% 1.10/1.09 (~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[236, 2378])).
% 1.10/1.09 tff(2380,plain,
% 1.10/1.09 (![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[279, 2379, 2377, 2376, 2374])).
% 1.10/1.09 tff(2381,plain,
% 1.10/1.09 ($false),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[498, 2380, 2372])).
% 1.10/1.09 tff(2382,plain,(p402(X!0) | p401(X!0) | p302(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.10/1.09 tff(2383,plain,
% 1.10/1.09 (p402(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[2382, 5, 4])).
% 1.10/1.09 tff(2384,plain,
% 1.10/1.09 (~p202(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[917, 2383])).
% 1.10/1.09 tff(2385,assumption,(p501(X!0)), introduced(assumption)).
% 1.10/1.09 tff(2386,plain,
% 1.10/1.09 (~p101(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[289, 2385])).
% 1.10/1.09 tff(2387,plain,
% 1.10/1.09 (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[1299, 2383])).
% 1.10/1.09 tff(2388,plain,
% 1.10/1.09 (~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[498, 2387])).
% 1.10/1.09 tff(2389,plain,
% 1.10/1.09 (~p601(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[2360, 2385])).
% 1.10/1.09 tff(2390,plain,
% 1.10/1.09 (p605(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[2264, 2389, 2388, 163, 381, 4, 166])).
% 1.10/1.09 tff(2391,plain,
% 1.10/1.09 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[137, 2390])).
% 1.10/1.09 tff(2392,plain,
% 1.10/1.09 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[153, 2391])).
% 1.10/1.09 tff(2393,plain,
% 1.10/1.09 (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[114, 2390])).
% 1.10/1.09 tff(2394,plain,
% 1.10/1.09 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[130, 2393])).
% 1.10/1.09 tff(2395,assumption,((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0))), introduced(assumption)).
% 1.10/1.09 tff(2396,plain,
% 1.10/1.09 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[186, 2395])).
% 1.10/1.09 tff(2397,plain,
% 1.10/1.09 (~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[236, 2396])).
% 1.10/1.09 tff(2398,plain,
% 1.10/1.09 (![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[279, 2397, 1, 579, 166])).
% 1.10/1.09 tff(2399,plain,
% 1.10/1.09 ((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[275, 2398])).
% 1.10/1.09 tff(2400,plain,
% 1.10/1.09 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[451, 2395])).
% 1.10/1.09 tff(2401,plain,
% 1.10/1.09 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[457, 2400])).
% 1.10/1.09 tff(2402,plain,
% 1.10/1.09 (![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[422, 2401, 165, 381, 2])).
% 1.10/1.09 tff(2403,plain,
% 1.10/1.09 ((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[478, 2402])).
% 1.10/1.09 tff(2404,plain,
% 1.10/1.09 ($false),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[586, 2403, 2399])).
% 1.10/1.09 tff(2405,plain,((~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p201(X!0) | p202(X!0) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | p101(X!0) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 1.10/1.09 tff(2406,plain,
% 1.10/1.09 (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[2405, 2394, 381, 2384, 2388, 2386, 166])).
% 1.10/1.09 tff(2407,plain,
% 1.10/1.09 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[202, 2406])).
% 1.10/1.09 tff(2408,plain,
% 1.10/1.09 (p303(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[208, 2407, 163, 2392, 5])).
% 1.10/1.09 tff(2409,plain,
% 1.10/1.09 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[325, 2408])).
% 1.10/1.09 tff(2410,plain,
% 1.10/1.09 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[275, 2409])).
% 1.10/1.09 tff(2411,plain,
% 1.10/1.09 (![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[279, 2410, 2388, 2386, 166])).
% 1.10/1.09 tff(2412,plain,
% 1.10/1.09 ((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[236, 2411])).
% 1.10/1.09 tff(2413,plain,
% 1.10/1.09 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[405, 2408])).
% 1.10/1.09 tff(2414,plain,
% 1.10/1.09 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[478, 2413])).
% 1.10/1.09 tff(2415,plain,
% 1.10/1.09 (![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[422, 2414, 2394, 381, 2384])).
% 1.10/1.09 tff(2416,plain,
% 1.10/1.09 ((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[457, 2415])).
% 1.10/1.09 tff(2417,plain,
% 1.10/1.09 ($false),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[613, 2416, 2412])).
% 1.10/1.09 tff(2418,plain,((~p501(X!0)) | p201(X!0) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | p301(X!0) | p302(X!0) | p401(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.10/1.09 tff(2419,plain,
% 1.10/1.09 (~p501(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[2418, 163, 166, 381, 5, 4])).
% 1.10/1.09 tff(2420,plain,
% 1.10/1.09 (~p502(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[1068, 2383])).
% 1.10/1.09 tff(2421,plain,
% 1.10/1.09 (p605(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[2087, 536, 4, 3])).
% 1.10/1.09 tff(2422,plain,
% 1.10/1.09 (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[114, 2421])).
% 1.10/1.09 tff(2423,plain,
% 1.10/1.09 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[130, 2422])).
% 1.10/1.09 tff(2424,plain,
% 1.10/1.09 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[137, 2421])).
% 1.10/1.09 tff(2425,plain,
% 1.10/1.09 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[153, 2424])).
% 1.10/1.09 tff(2426,plain,
% 1.10/1.09 (p504(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[301, 1175, 3, 238, 536])).
% 1.10/1.09 tff(2427,plain,
% 1.10/1.09 (![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[208, 1172, 163, 162, 5])).
% 1.10/1.09 tff(2428,plain,
% 1.10/1.09 ((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[202, 2427])).
% 1.10/1.09 tff(2429,plain,
% 1.10/1.09 ($false),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[299, 2428, 2426])).
% 1.10/1.09 tff(2430,plain,((~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | p505(X!0) | p502(X!0) | p501(X!0) | p301(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p302(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.10/1.09 tff(2431,plain,
% 1.10/1.09 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[2430, 536, 2420, 3, 163, 2425, 5])).
% 1.10/1.09 tff(2432,plain,
% 1.10/1.09 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[478, 2431])).
% 1.10/1.09 tff(2433,plain,
% 1.10/1.09 (![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[422, 2432, 2423, 381, 2384])).
% 1.10/1.09 tff(2434,plain,
% 1.10/1.09 ((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[457, 2433])).
% 1.10/1.09 tff(2435,plain,
% 1.10/1.09 (~p504(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[654, 2434])).
% 1.10/1.09 tff(2436,plain,
% 1.10/1.09 (p503(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[301, 2435, 3, 2420, 536])).
% 1.10/1.09 tff(2437,plain,
% 1.10/1.09 (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[451, 2434])).
% 1.10/1.09 tff(2438,plain,
% 1.10/1.09 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[202, 2437])).
% 1.10/1.09 tff(2439,plain,
% 1.10/1.09 (p303(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[208, 2438, 163, 2425, 5])).
% 1.10/1.09 tff(2440,plain,
% 1.10/1.09 ($false),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[346, 2439, 2436])).
% 1.10/1.09 tff(2441,plain,(p501(X!0) | p301(X!0) | p302(X!0) | p505(X!0) | p201(X!0) | p401(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.10/1.09 tff(2442,plain,
% 1.10/1.09 (p505(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[2441, 2419, 5, 163, 381, 4])).
% 1.10/1.09 tff(2443,plain,
% 1.10/1.09 (~p605(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[160, 2442])).
% 1.10/1.09 tff(2444,plain,
% 1.10/1.09 (~p101(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[1259, 2443])).
% 1.10/1.09 tff(2445,plain,
% 1.10/1.09 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[768, 2442])).
% 1.10/1.09 tff(2446,plain,
% 1.10/1.09 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[153, 2445])).
% 1.10/1.09 tff(2447,plain,
% 1.10/1.09 (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[1101, 2442])).
% 1.10/1.09 tff(2448,plain,
% 1.10/1.09 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[130, 2447])).
% 1.10/1.09 tff(2449,plain,
% 1.10/1.09 (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[2405, 2448, 381, 2384, 2388, 2444, 166])).
% 1.10/1.09 tff(2450,plain,
% 1.10/1.09 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[202, 2449])).
% 1.10/1.09 tff(2451,plain,
% 1.10/1.09 (p303(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[208, 2450, 163, 2446, 5])).
% 1.10/1.09 tff(2452,plain,
% 1.10/1.09 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[325, 2451])).
% 1.10/1.09 tff(2453,plain,
% 1.10/1.09 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[275, 2452])).
% 1.10/1.09 tff(2454,plain,
% 1.10/1.09 (![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[279, 2453, 2388, 2444, 166])).
% 1.10/1.09 tff(2455,plain,
% 1.10/1.09 ((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[236, 2454])).
% 1.10/1.09 tff(2456,plain,
% 1.10/1.09 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[405, 2451])).
% 1.10/1.09 tff(2457,plain,
% 1.10/1.09 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[478, 2456])).
% 1.10/1.09 tff(2458,plain,
% 1.10/1.09 (![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[422, 2457, 2448, 381, 2384])).
% 1.10/1.09 tff(2459,plain,
% 1.10/1.09 ((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[457, 2458])).
% 1.10/1.09 tff(2460,plain,
% 1.10/1.09 ($false),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[613, 2459, 2455])).
% 1.10/1.09 tff(2461,plain,(p301(X!0) | p201(X!0) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | p302(X!0) | p401(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.10/1.09 tff(2462,plain,
% 1.10/1.09 (p301(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[2461, 166, 381, 5, 4])).
% 1.10/1.09 tff(2463,plain,
% 1.10/1.09 (~p501(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[577, 2462])).
% 1.10/1.09 tff(2464,plain,
% 1.10/1.09 (~p602(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[1052, 2383])).
% 1.10/1.09 tff(2465,plain,
% 1.10/1.09 (~p601(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[1569, 2462])).
% 1.10/1.09 tff(2466,plain,
% 1.10/1.09 (~p101(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[560, 2462])).
% 1.10/1.09 tff(2467,plain,
% 1.10/1.09 (![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[279, 588, 1, 579, 166])).
% 1.10/1.09 tff(2468,plain,
% 1.10/1.09 (p504(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[301, 1175, 536, 238, 3])).
% 1.10/1.09 tff(2469,plain,
% 1.10/1.09 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[604, 2468])).
% 1.10/1.09 tff(2470,plain,
% 1.10/1.09 ($false),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[236, 2469, 2467])).
% 1.10/1.09 tff(2471,plain,((~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | p101(X!0) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | p501(X!0) | p502(X!0) | p505(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.10/1.09 tff(2472,plain,
% 1.10/1.09 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[2471, 3, 579, 166, 536, 238, 1])).
% 1.10/1.09 tff(2473,plain,
% 1.10/1.09 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[478, 2472])).
% 1.10/1.09 tff(2474,plain,
% 1.10/1.09 (![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[422, 2473, 165, 381, 2])).
% 1.10/1.09 tff(2475,plain,
% 1.10/1.09 ((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[457, 2474])).
% 1.10/1.09 tff(2476,plain,
% 1.10/1.09 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[613, 2475])).
% 1.10/1.09 tff(2477,plain,
% 1.10/1.09 (~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[236, 2476])).
% 1.10/1.09 tff(2478,plain,
% 1.10/1.09 (![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[279, 2477, 1, 579, 166])).
% 1.10/1.09 tff(2479,plain,
% 1.10/1.09 (~p504(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[654, 2475])).
% 1.10/1.09 tff(2480,plain,
% 1.10/1.09 (p503(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[301, 2479, 536, 238, 3])).
% 1.10/1.09 tff(2481,plain,
% 1.10/1.09 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[640, 2480])).
% 1.10/1.09 tff(2482,plain,
% 1.10/1.09 ($false),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[275, 2481, 2478])).
% 1.10/1.09 tff(2483,plain,(p505(X!0) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | p101(X!0) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | p501(X!0) | p502(X!0) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p201(X!0) | p202(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.10/1.09 tff(2484,plain,
% 1.10/1.09 (p505(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[2483, 165, 579, 166, 536, 238, 1, 381, 2])).
% 1.10/1.09 tff(2485,plain,
% 1.10/1.09 (~p605(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[160, 2484])).
% 1.10/1.09 tff(2486,plain,
% 1.10/1.09 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[613, 1212])).
% 1.10/1.09 tff(2487,plain,
% 1.10/1.09 (~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[236, 2486])).
% 1.10/1.09 tff(2488,plain,
% 1.10/1.09 (![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[279, 2487, 1, 579, 166])).
% 1.10/1.09 tff(2489,plain,
% 1.10/1.09 (p603(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[699, 1213, 684, 685, 683])).
% 1.10/1.09 tff(2490,plain,
% 1.10/1.09 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[1316, 2489])).
% 1.10/1.09 tff(2491,plain,
% 1.10/1.09 ($false),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[275, 2490, 2488])).
% 1.10/1.09 tff(2492,plain,((~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | p101(X!0) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | p601(X!0) | p602(X!0) | p605(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.10/1.09 tff(2493,plain,
% 1.10/1.09 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[2492, 2485, 579, 166, 684, 685, 1])).
% 1.10/1.09 tff(2494,plain,
% 1.10/1.09 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[457, 2493])).
% 1.10/1.09 tff(2495,plain,
% 1.10/1.09 (![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[422, 2494, 165, 381, 2])).
% 1.10/1.09 tff(2496,plain,
% 1.10/1.09 ((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[478, 2495])).
% 1.10/1.09 tff(2497,plain,
% 1.10/1.09 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[586, 2496])).
% 1.10/1.09 tff(2498,plain,
% 1.10/1.09 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[275, 2497])).
% 1.10/1.09 tff(2499,plain,
% 1.10/1.09 (![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[279, 2498, 1, 579, 166])).
% 1.10/1.09 tff(2500,plain,
% 1.10/1.09 (~p603(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[824, 2496])).
% 1.10/1.09 tff(2501,plain,
% 1.10/1.09 (p604(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[699, 2500, 684, 685, 2485])).
% 1.10/1.09 tff(2502,plain,
% 1.10/1.09 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[1353, 2501])).
% 1.10/1.09 tff(2503,plain,
% 1.10/1.09 ($false),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[236, 2502, 2499])).
% 1.10/1.09 tff(2504,plain,(![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | p101(X!0) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | p601(X!0) | p602(X!0) | p201(X!0) | p202(X!0) | p501(X!0) | p502(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.10/1.09 tff(2505,plain,
% 1.10/1.09 (![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[2504, 2466, 2388, 166, 2465, 2464, 381, 2384, 2463, 2420])).
% 1.10/1.09 tff(2506,plain,
% 1.10/1.09 ((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[130, 2505])).
% 1.10/1.09 tff(2507,plain,
% 1.10/1.09 (~p605(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[114, 2506])).
% 1.10/1.09 tff(2508,plain,
% 1.10/1.09 (~p505(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[1101, 2506])).
% 1.10/1.09 tff(2509,plain,
% 1.10/1.09 ($false),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[2109, 2508, 2507, 2463])).
% 1.10/1.09 tff(2510,plain,(![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | p201(X!0) | p302(X!0) | p401(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.10/1.09 tff(2511,plain,
% 1.10/1.09 (![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[2510, 381, 5, 4])).
% 1.10/1.09 tff(2512,plain,
% 1.10/1.09 ((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[101, 2511])).
% 1.10/1.09 tff(2513,plain,
% 1.10/1.09 (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[1374, 2512])).
% 1.10/1.09 tff(2514,plain,
% 1.10/1.09 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[130, 2513])).
% 1.10/1.09 tff(2515,plain,
% 1.10/1.09 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[873, 2512])).
% 1.10/1.09 tff(2516,plain,
% 1.10/1.09 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[153, 2515])).
% 1.10/1.09 tff(2517,plain,
% 1.10/1.09 (~p605(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[85, 2512])).
% 1.10/1.09 tff(2518,plain,
% 1.10/1.09 (~p505(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[2293, 2512])).
% 1.10/1.09 tff(2519,plain,
% 1.10/1.09 (p501(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[2087, 2518, 4, 2517])).
% 1.10/1.09 tff(2520,plain,
% 1.10/1.09 (~p301(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[577, 2519])).
% 1.10/1.09 tff(2521,plain,
% 1.10/1.09 (~p601(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[2360, 2519])).
% 1.10/1.09 tff(2522,plain,
% 1.10/1.09 (~p303(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[2120, 2521, 2384, 2464, 381, 2517, 2514])).
% 1.10/1.09 tff(2523,plain,
% 1.10/1.09 (![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[208, 2522, 2520, 2516, 5])).
% 1.10/1.09 tff(2524,plain,
% 1.10/1.09 ((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[202, 2523])).
% 1.10/1.09 tff(2525,plain,
% 1.10/1.09 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[451, 2524])).
% 1.10/1.09 tff(2526,plain,
% 1.10/1.09 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[457, 2525])).
% 1.10/1.09 tff(2527,plain,
% 1.10/1.09 (![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[422, 2526, 2514, 381, 2384])).
% 1.10/1.09 tff(2528,plain,
% 1.10/1.09 (~p604(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[782, 2524])).
% 1.10/1.09 tff(2529,plain,
% 1.10/1.09 (p603(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[699, 2528, 2521, 2464, 2517])).
% 1.10/1.09 tff(2530,plain,
% 1.10/1.09 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[824, 2529])).
% 1.10/1.09 tff(2531,plain,
% 1.10/1.09 ($false),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[478, 2530, 2527])).
% 1.10/1.09 tff(2532,plain,(p201(X!0) | p302(X!0) | p401(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.10/1.09 tff(2533,plain,
% 1.10/1.09 (p201(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[2532, 5, 4])).
% 1.10/1.09 tff(2534,plain,
% 1.10/1.09 (~p501(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[522, 2533])).
% 1.10/1.09 tff(2535,plain,
% 1.10/1.09 (~p101(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[379, 2533])).
% 1.10/1.09 tff(2536,plain,
% 1.10/1.09 (p605(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[2087, 3, 4, 2534])).
% 1.10/1.09 tff(2537,plain,
% 1.10/1.09 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[137, 2536])).
% 1.10/1.09 tff(2538,plain,
% 1.10/1.09 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[153, 2537])).
% 1.10/1.09 tff(2539,plain,
% 1.10/1.09 (~p301(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[567, 2533])).
% 1.10/1.09 tff(2540,plain,
% 1.10/1.09 (p504(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[301, 1972, 536, 238, 3])).
% 1.10/1.09 tff(2541,plain,
% 1.10/1.09 ($false),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[299, 365, 2540])).
% 1.10/1.09 tff(2542,plain,((~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | p501(X!0) | p502(X!0) | p505(X!0) | p301(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p302(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.10/1.09 tff(2543,plain,
% 1.10/1.09 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[2542, 3, 2420, 2534, 2539, 2538, 5])).
% 1.10/1.09 tff(2544,plain,
% 1.10/1.09 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[275, 2543])).
% 1.10/1.09 tff(2545,plain,
% 1.10/1.09 (![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[279, 2544, 2388, 2535, 166])).
% 1.10/1.09 tff(2546,plain,
% 1.10/1.09 ((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[236, 2545])).
% 1.10/1.09 tff(2547,plain,
% 1.10/1.09 (~p504(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[604, 2546])).
% 1.10/1.09 tff(2548,plain,
% 1.10/1.09 (p503(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[301, 2547, 2534, 2420, 3])).
% 1.10/1.09 tff(2549,plain,
% 1.10/1.09 (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[186, 2546])).
% 1.10/1.09 tff(2550,plain,
% 1.10/1.09 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[202, 2549])).
% 1.10/1.09 tff(2551,plain,
% 1.10/1.09 (p303(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[208, 2550, 2539, 2538, 5])).
% 1.10/1.09 tff(2552,plain,
% 1.10/1.09 ($false),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[346, 2551, 2548])).
% 1.10/1.09 tff(2553,plain,(p505(X!0) | p302(X!0) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | p401(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.10/1.09 tff(2554,plain,
% 1.10/1.09 (p505(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[2553, 166, 5, 4])).
% 1.10/1.09 tff(2555,plain,
% 1.10/1.09 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[768, 2554])).
% 1.10/1.09 tff(2556,plain,
% 1.10/1.09 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[153, 2555])).
% 1.10/1.09 tff(2557,plain,
% 1.10/1.09 (~p601(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[1586, 2533])).
% 1.10/1.09 tff(2558,plain,
% 1.10/1.09 (~p605(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[160, 2554])).
% 1.10/1.09 tff(2559,plain,
% 1.10/1.09 (~p303(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[1787, 2558, 166, 2464, 2557, 2388])).
% 1.10/1.09 tff(2560,plain,
% 1.10/1.09 (![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[208, 2559, 2539, 2556, 5])).
% 1.10/1.09 tff(2561,plain,
% 1.10/1.09 ((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[202, 2560])).
% 1.10/1.09 tff(2562,plain,
% 1.10/1.09 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[186, 2561])).
% 1.10/1.09 tff(2563,plain,
% 1.10/1.09 (~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[236, 2562])).
% 1.10/1.09 tff(2564,plain,
% 1.10/1.09 (![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[279, 2563, 2388, 2535, 166])).
% 1.10/1.09 tff(2565,plain,
% 1.10/1.09 (~p604(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[782, 2561])).
% 1.10/1.09 tff(2566,plain,
% 1.10/1.09 (p603(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[699, 2565, 2557, 2464, 2558])).
% 1.10/1.09 tff(2567,plain,
% 1.10/1.09 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[1316, 2566])).
% 1.10/1.09 tff(2568,plain,
% 1.10/1.09 ($false),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[275, 2567, 2564])).
% 1.10/1.09 tff(2569,plain,(![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | p302(X!0) | p401(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.10/1.09 tff(2570,plain,
% 1.10/1.09 (![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[2569, 5, 4])).
% 1.10/1.09 tff(2571,plain,
% 1.10/1.09 ((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[101, 2570])).
% 1.10/1.09 tff(2572,plain,
% 1.10/1.09 (~p605(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[85, 2571])).
% 1.10/1.09 tff(2573,plain,
% 1.10/1.09 (~p505(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[2293, 2571])).
% 1.10/1.09 tff(2574,plain,
% 1.10/1.09 ($false),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[2109, 2573, 2572, 2534])).
% 1.10/1.09 tff(2575,plain,(p302(X!0) | p401(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.10/1.09 tff(2576,plain,
% 1.10/1.09 (p302(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[2575, 4])).
% 1.10/1.09 tff(2577,plain,
% 1.10/1.09 (~p202(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[910, 2576])).
% 1.10/1.09 tff(2578,plain,
% 1.10/1.09 (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[1954, 2576])).
% 1.10/1.09 tff(2579,plain,
% 1.10/1.09 (~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[498, 2578])).
% 1.10/1.09 tff(2580,plain,
% 1.10/1.09 (~p301(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[577, 2385])).
% 1.10/1.09 tff(2581,plain,
% 1.10/1.09 (~p201(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[522, 2385])).
% 1.10/1.09 tff(2582,plain,
% 1.10/1.09 (p605(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[2264, 2581, 2579, 2389, 166, 4, 2580])).
% 1.10/1.09 tff(2583,plain,
% 1.10/1.09 (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[114, 2582])).
% 1.10/1.09 tff(2584,plain,
% 1.10/1.09 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[130, 2583])).
% 1.10/1.09 tff(2585,plain,
% 1.10/1.09 (~p402(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[1061, 2576])).
% 1.10/1.09 tff(2586,plain,
% 1.10/1.09 (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[60, 2582])).
% 1.10/1.09 tff(2587,plain,
% 1.10/1.09 (~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[72, 2586])).
% 1.10/1.09 tff(2588,plain,
% 1.10/1.09 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[594, 2587, 2585, 2579, 4, 166, 2386])).
% 1.10/1.09 tff(2589,plain,
% 1.10/1.09 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[478, 2588])).
% 1.10/1.09 tff(2590,plain,
% 1.10/1.09 (![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[422, 2589, 2581, 2584, 2577])).
% 1.10/1.09 tff(2591,plain,
% 1.10/1.09 ((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[457, 2590])).
% 1.10/1.09 tff(2592,plain,
% 1.10/1.09 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[613, 2591])).
% 1.10/1.09 tff(2593,plain,
% 1.10/1.09 (~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[236, 2592])).
% 1.10/1.09 tff(2594,plain,
% 1.10/1.09 (![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[279, 2593, 2579, 2386, 166])).
% 1.10/1.09 tff(2595,plain,
% 1.10/1.09 (~p404(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[390, 2591])).
% 1.10/1.09 tff(2596,plain,
% 1.10/1.09 (p403(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[179, 2595, 4, 2585, 2587])).
% 1.10/1.09 tff(2597,plain,
% 1.10/1.09 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[259, 2596])).
% 1.10/1.09 tff(2598,plain,
% 1.10/1.09 ($false),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[275, 2597, 2594])).
% 1.10/1.09 tff(2599,plain,((~p501(X!0)) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | p401(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.10/1.09 tff(2600,plain,
% 1.10/1.09 (~p501(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[2599, 166, 4])).
% 1.10/1.09 tff(2601,plain,
% 1.10/1.09 (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[60, 2421])).
% 1.10/1.09 tff(2602,plain,
% 1.10/1.09 (~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[72, 2601])).
% 1.10/1.09 tff(2603,plain,
% 1.10/1.09 (~p502(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[1024, 2576])).
% 1.10/1.09 tff(2604,plain,
% 1.10/1.09 (~p403(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[660, 381, 2577, 536, 3, 2603, 2423])).
% 1.10/1.09 tff(2605,plain,
% 1.10/1.09 (p404(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[179, 2604, 4, 2585, 2602])).
% 1.10/1.09 tff(2606,plain,
% 1.10/1.09 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[390, 2605])).
% 1.10/1.09 tff(2607,plain,
% 1.10/1.09 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[457, 2606])).
% 1.10/1.09 tff(2608,plain,
% 1.10/1.09 (![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[422, 2607, 2423, 381, 2577])).
% 1.10/1.09 tff(2609,plain,
% 1.10/1.09 (~p504(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[336, 2605])).
% 1.10/1.09 tff(2610,plain,
% 1.10/1.09 (p503(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[301, 2609, 3, 2603, 536])).
% 1.10/1.09 tff(2611,plain,
% 1.10/1.09 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[678, 2610])).
% 1.10/1.09 tff(2612,plain,
% 1.10/1.09 ($false),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[478, 2611, 2608])).
% 1.10/1.09 tff(2613,plain,(p201(X!0) | p505(X!0) | p501(X!0) | p401(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.10/1.09 tff(2614,plain,
% 1.10/1.09 (p201(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[2613, 536, 3, 4])).
% 1.10/1.09 tff(2615,plain,
% 1.10/1.09 (~p101(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[379, 2614])).
% 1.10/1.09 tff(2616,plain,
% 1.10/1.09 (p503(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[301, 1915, 3, 2603, 536])).
% 1.10/1.09 tff(2617,plain,
% 1.10/1.09 (p403(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[179, 174, 4, 2585, 2602])).
% 1.10/1.09 tff(2618,plain,
% 1.10/1.09 ($false),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[245, 2617, 2616])).
% 1.10/1.09 tff(2619,plain,((~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))) | p401(X!0) | p505(X!0) | p501(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.10/1.09 tff(2620,plain,
% 1.10/1.09 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[2619, 536, 3, 4])).
% 1.10/1.09 tff(2621,plain,
% 1.10/1.09 (~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[236, 2620])).
% 1.10/1.09 tff(2622,plain,
% 1.10/1.09 (![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[279, 2621, 2579, 2615, 166])).
% 1.10/1.09 tff(2623,plain,
% 1.10/1.09 ((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[275, 2622])).
% 1.10/1.09 tff(2624,plain,
% 1.10/1.09 (~p403(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[259, 2623])).
% 1.10/1.09 tff(2625,plain,
% 1.10/1.09 (p404(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[179, 2624, 4, 2585, 2602])).
% 1.10/1.09 tff(2626,plain,
% 1.10/1.09 (~p503(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[640, 2623])).
% 1.10/1.09 tff(2627,plain,
% 1.10/1.09 (p504(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[301, 2626, 3, 2603, 536])).
% 1.10/1.09 tff(2628,plain,
% 1.10/1.09 ($false),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[336, 2627, 2625])).
% 1.10/1.09 tff(2629,plain,(p501(X!0) | p505(X!0) | p401(X!0) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 1.10/1.09 tff(2630,plain,
% 1.10/1.09 (p505(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[2629, 2600, 4, 166])).
% 1.10/1.09 tff(2631,plain,
% 1.10/1.09 (~p605(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[160, 2630])).
% 1.10/1.09 tff(2632,plain,
% 1.10/1.09 (~p101(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[1259, 2631])).
% 1.10/1.09 tff(2633,plain,
% 1.10/1.09 (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[1101, 2630])).
% 1.10/1.09 tff(2634,plain,
% 1.10/1.09 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[130, 2633])).
% 1.10/1.09 tff(2635,plain,
% 1.10/1.09 (~p602(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[958, 2576])).
% 1.10/1.09 tff(2636,plain,
% 1.10/1.09 (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[717, 2630])).
% 1.10/1.09 tff(2637,plain,
% 1.10/1.09 (~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[72, 2636])).
% 1.10/1.09 tff(2638,plain,
% 1.10/1.09 (p601(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[1742, 2637, 2585, 4, 2635, 2579, 166, 2631])).
% 1.10/1.09 tff(2639,plain,
% 1.10/1.09 (~p201(X!0)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[1586, 2638])).
% 1.10/1.09 tff(2640,plain,
% 1.10/1.09 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[594, 2637, 2585, 2579, 4, 166, 2632])).
% 1.10/1.09 tff(2641,plain,
% 1.10/1.09 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[478, 2640])).
% 1.10/1.09 tff(2642,plain,
% 1.10/1.09 (![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[422, 2641, 2639, 2634, 2577])).
% 1.10/1.10 tff(2643,plain,
% 1.10/1.10 ((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[457, 2642])).
% 1.10/1.10 tff(2644,plain,
% 1.10/1.10 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[613, 2643])).
% 1.10/1.10 tff(2645,plain,
% 1.10/1.10 (~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[236, 2644])).
% 1.10/1.10 tff(2646,plain,
% 1.10/1.10 (![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[279, 2645, 2579, 2632, 166])).
% 1.10/1.10 tff(2647,plain,
% 1.10/1.10 (~p404(X!0)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[390, 2643])).
% 1.10/1.10 tff(2648,plain,
% 1.10/1.10 (p403(X!0)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[179, 2647, 4, 2585, 2637])).
% 1.10/1.10 tff(2649,plain,
% 1.10/1.10 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[259, 2648])).
% 1.10/1.10 tff(2650,plain,
% 1.10/1.10 ($false),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[275, 2649, 2646])).
% 1.10/1.10 tff(2651,plain,(![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | p401(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.10/1.10 tff(2652,plain,
% 1.10/1.10 (![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[2651, 4])).
% 1.10/1.10 tff(2653,plain,
% 1.10/1.10 ((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[101, 2652])).
% 1.10/1.10 tff(2654,plain,
% 1.10/1.10 (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[1374, 2653])).
% 1.10/1.10 tff(2655,plain,
% 1.10/1.10 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[130, 2654])).
% 1.10/1.10 tff(2656,plain,
% 1.10/1.10 (~p605(X!0)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[85, 2653])).
% 1.10/1.10 tff(2657,plain,
% 1.10/1.10 (~p505(X!0)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[2293, 2653])).
% 1.10/1.10 tff(2658,plain,
% 1.10/1.10 (p501(X!0)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[2087, 2657, 4, 2656])).
% 1.10/1.10 tff(2659,plain,
% 1.10/1.10 (~p201(X!0)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[522, 2658])).
% 1.10/1.10 tff(2660,plain,
% 1.10/1.10 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[873, 2653])).
% 1.10/1.10 tff(2661,plain,
% 1.10/1.10 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[153, 2660])).
% 1.10/1.10 tff(2662,plain,
% 1.10/1.10 (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[1512, 2653])).
% 1.10/1.10 tff(2663,plain,
% 1.10/1.10 (~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[72, 2662])).
% 1.10/1.10 tff(2664,plain,
% 1.10/1.10 (~p301(X!0)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[577, 2658])).
% 1.10/1.10 tff(2665,plain,
% 1.10/1.10 (~p601(X!0)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[2360, 2658])).
% 1.10/1.10 tff(2666,plain,
% 1.10/1.10 (p604(X!0)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[1125, 2665, 2585, 2656, 4, 2664, 2663, 2659, 2577, 2661, 2655])).
% 1.10/1.10 tff(2667,plain,
% 1.10/1.10 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[839, 2666])).
% 1.10/1.10 tff(2668,plain,
% 1.10/1.10 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[457, 2667])).
% 1.10/1.10 tff(2669,plain,
% 1.10/1.10 (![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[422, 2668, 2659, 2655, 2577])).
% 1.10/1.10 tff(2670,plain,
% 1.10/1.10 (~p404(X!0)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[726, 2666])).
% 1.10/1.10 tff(2671,plain,
% 1.10/1.10 (p403(X!0)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[179, 2670, 4, 2585, 2663])).
% 1.10/1.10 tff(2672,plain,
% 1.10/1.10 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[472, 2671])).
% 1.10/1.10 tff(2673,plain,
% 1.10/1.10 ($false),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[478, 2672, 2669])).
% 1.10/1.10 tff(2674,plain,(p401(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.10/1.10 tff(2675,plain,
% 1.10/1.10 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p303(X)) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X)))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p601(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p201(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~((~r1(X, tptp_fun_Y_3(X))) | p205(tptp_fun_Y_3(X))))))) | ![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))),
% 1.10/1.10 inference(tautology,[status(thm)],[])).
% 1.10/1.10 tff(2676,plain,
% 1.10/1.10 (![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[2675, 51])).
% 1.10/1.10 tff(2677,plain,
% 1.10/1.10 (((~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | ((~r1(X!0, X!0)) | (~p401(X!0)) | (~p501(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~r1(X!0, X!0)) | (~p401(X!0)) | (~p501(X!0)))),
% 1.10/1.10 inference(rewrite,[status(thm)],[])).
% 1.10/1.10 tff(2678,plain,
% 1.10/1.10 (((~r1(X!0, X!0)) | (~p501(X!0)) | (~p401(X!0))) <=> ((~r1(X!0, X!0)) | (~p401(X!0)) | (~p501(X!0)))),
% 1.10/1.10 inference(rewrite,[status(thm)],[])).
% 1.10/1.10 tff(2679,plain,
% 1.10/1.10 (((~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | ((~r1(X!0, X!0)) | (~p501(X!0)) | (~p401(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | ((~r1(X!0, X!0)) | (~p401(X!0)) | (~p501(X!0))))),
% 1.10/1.10 inference(monotonicity,[status(thm)],[2678])).
% 1.10/1.10 tff(2680,plain,
% 1.10/1.10 (((~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | ((~r1(X!0, X!0)) | (~p501(X!0)) | (~p401(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~r1(X!0, X!0)) | (~p401(X!0)) | (~p501(X!0)))),
% 1.10/1.10 inference(transitivity,[status(thm)],[2679, 2677])).
% 1.10/1.10 tff(2681,plain,
% 1.10/1.10 ((~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | ((~r1(X!0, X!0)) | (~p501(X!0)) | (~p401(X!0)))),
% 1.10/1.10 inference(quant_inst,[status(thm)],[])).
% 1.10/1.10 tff(2682,plain,
% 1.10/1.10 ((~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p401(X)))) | (~r1(X!0, X!0)) | (~p401(X!0)) | (~p501(X!0))),
% 1.10/1.10 inference(modus_ponens,[status(thm)],[2681, 2680])).
% 1.10/1.10 tff(2683,plain,
% 1.10/1.10 ((~p401(X!0)) | (~p501(X!0))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[2682, 16, 2676])).
% 1.10/1.10 tff(2684,plain,
% 1.10/1.10 (~p501(X!0)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[2683, 2674])).
% 1.10/1.10 tff(2685,plain,
% 1.10/1.10 (p605(X!0) | p505(X!0)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[2109, 2684])).
% 1.10/1.10 tff(2686,plain,
% 1.10/1.10 (p605(X!0)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[2685, 3])).
% 1.10/1.10 tff(2687,plain,
% 1.10/1.10 (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[85, 2686])).
% 1.10/1.10 tff(2688,plain,
% 1.10/1.10 (~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[101, 2687])).
% 1.10/1.10 tff(2689,plain,
% 1.10/1.10 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[137, 2686])).
% 1.10/1.10 tff(2690,plain,
% 1.10/1.10 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[153, 2689])).
% 1.10/1.10 tff(2691,plain,
% 1.10/1.10 (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[114, 2686])).
% 1.10/1.10 tff(2692,plain,
% 1.10/1.10 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[130, 2691])).
% 1.10/1.10 tff(2693,plain,
% 1.10/1.10 (~p101(X!0)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[897, 2674])).
% 1.10/1.10 tff(2694,plain,
% 1.10/1.10 (~p201(X!0)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[1433, 2674])).
% 1.10/1.10 tff(2695,plain,
% 1.10/1.10 ((~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p202(X!0) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[2405, 2694, 2693])).
% 1.10/1.10 tff(2696,plain,
% 1.10/1.10 (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[2695, 2, 2688, 1, 2692])).
% 1.10/1.10 tff(2697,plain,
% 1.10/1.10 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[202, 2696])).
% 1.10/1.10 tff(2698,plain,
% 1.10/1.10 (p505(X!0) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | p502(X!0) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p202(X!0)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[2483, 2684, 2694, 2693])).
% 1.10/1.10 tff(2699,plain,
% 1.10/1.10 (p502(X!0)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[2698, 2, 3, 2688, 2692, 1])).
% 1.10/1.10 tff(2700,plain,
% 1.10/1.10 (~p302(X!0)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[1024, 2699])).
% 1.10/1.10 tff(2701,plain,
% 1.10/1.10 (~p301(X!0)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[1443, 2674])).
% 1.10/1.10 tff(2702,plain,
% 1.10/1.10 (p302(X!0) | p303(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[208, 2701])).
% 1.10/1.10 tff(2703,plain,
% 1.10/1.10 (p303(X!0)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[2702, 2700, 2697, 2690])).
% 1.10/1.10 tff(2704,plain,
% 1.10/1.10 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[325, 2703])).
% 1.10/1.10 tff(2705,plain,
% 1.10/1.10 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[275, 2704])).
% 1.10/1.10 tff(2706,plain,
% 1.10/1.10 (![Y: $i] : (p104(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[279, 2693])).
% 1.10/1.10 tff(2707,plain,
% 1.10/1.10 (![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[2706, 2705, 2688, 1])).
% 1.10/1.10 tff(2708,plain,
% 1.10/1.10 ((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[236, 2707])).
% 1.10/1.10 tff(2709,plain,
% 1.10/1.10 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[405, 2703])).
% 1.10/1.10 tff(2710,plain,
% 1.10/1.10 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[478, 2709])).
% 1.10/1.10 tff(2711,plain,
% 1.10/1.10 (p202(X!0) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[422, 2694])).
% 1.10/1.10 tff(2712,plain,
% 1.10/1.10 (![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[2711, 2710, 2692, 2])).
% 1.10/1.10 tff(2713,plain,
% 1.10/1.10 ((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[457, 2712])).
% 1.10/1.10 tff(2714,plain,
% 1.10/1.10 ($false),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[613, 2713, 2708])).
% 1.10/1.10 tff(2715,plain,(p202(X!0) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | p505(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.10/1.10 tff(2716,plain,
% 1.10/1.10 (p202(X!0)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[2715, 1, 3])).
% 1.10/1.10 tff(2717,plain,
% 1.10/1.10 (~p502(X!0)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[358, 2716])).
% 1.10/1.10 tff(2718,plain,
% 1.10/1.10 (~p302(X!0)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[910, 2716])).
% 1.10/1.10 tff(2719,plain,
% 1.10/1.10 ((~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | p502(X!0) | p505(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p302(X!0)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[2542, 2684, 2701])).
% 1.10/1.10 tff(2720,plain,
% 1.10/1.10 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[2719, 2717, 2718, 3, 2690])).
% 1.10/1.10 tff(2721,plain,
% 1.10/1.10 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[275, 2720])).
% 1.10/1.10 tff(2722,plain,
% 1.10/1.10 (![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[2706, 2721, 2688, 1])).
% 1.10/1.10 tff(2723,plain,
% 1.10/1.10 ((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[236, 2722])).
% 1.10/1.10 tff(2724,plain,
% 1.10/1.10 (~p504(X!0)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[604, 2723])).
% 1.10/1.10 tff(2725,plain,
% 1.10/1.10 (p504(X!0) | p503(X!0) | p502(X!0) | p505(X!0)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[301, 2684])).
% 1.10/1.10 tff(2726,plain,
% 1.10/1.10 (p503(X!0)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[2725, 2724, 3, 2717])).
% 1.10/1.10 tff(2727,plain,
% 1.10/1.10 (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[186, 2723])).
% 1.10/1.10 tff(2728,plain,
% 1.10/1.10 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[202, 2727])).
% 1.10/1.10 tff(2729,plain,
% 1.10/1.10 (p303(X!0)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[2702, 2728, 2718, 2690])).
% 1.10/1.10 tff(2730,plain,
% 1.10/1.10 ($false),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[346, 2729, 2726])).
% 1.10/1.10 tff(2731,plain,(![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | p505(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.10/1.10 tff(2732,plain,
% 1.10/1.10 (![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[2731, 3])).
% 1.10/1.10 tff(2733,plain,
% 1.10/1.10 ((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[498, 2732])).
% 1.10/1.10 tff(2734,plain,
% 1.10/1.10 (~p502(X!0)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[534, 2733])).
% 1.10/1.10 tff(2735,plain,
% 1.10/1.10 (~p202(X!0)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[511, 2733])).
% 1.10/1.10 tff(2736,plain,
% 1.10/1.10 (~p302(X!0)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[1954, 2733])).
% 1.10/1.10 tff(2737,plain,
% 1.10/1.10 ((~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | p505(X!0) | p502(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p302(X!0)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[2430, 2684, 2701])).
% 1.10/1.10 tff(2738,plain,
% 1.10/1.10 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[2737, 2734, 2736, 3, 2690])).
% 1.10/1.10 tff(2739,plain,
% 1.10/1.10 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[478, 2738])).
% 1.10/1.10 tff(2740,plain,
% 1.10/1.10 (![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[2711, 2739, 2692, 2735])).
% 1.10/1.10 tff(2741,plain,
% 1.10/1.10 ((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[457, 2740])).
% 1.10/1.10 tff(2742,plain,
% 1.10/1.10 (~p504(X!0)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[654, 2741])).
% 1.10/1.10 tff(2743,plain,
% 1.10/1.10 (p503(X!0)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[2725, 2742, 3, 2734])).
% 1.10/1.10 tff(2744,plain,
% 1.10/1.10 (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[451, 2741])).
% 1.10/1.10 tff(2745,plain,
% 1.10/1.10 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[202, 2744])).
% 1.10/1.10 tff(2746,plain,
% 1.10/1.10 (p303(X!0)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[2702, 2745, 2736, 2690])).
% 1.10/1.10 tff(2747,plain,
% 1.10/1.10 ($false),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[346, 2746, 2743])).
% 1.10/1.10 tff(2748,plain,(p505(X!0)), inference(lemma,lemma(discharge,[]))).
% 1.10/1.10 tff(2749,plain,
% 1.10/1.10 (~((~r1(X!0, tptp_fun_Y_3(X!0))) | p205(tptp_fun_Y_3(X!0)))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[1101, 2748])).
% 1.10/1.10 tff(2750,plain,
% 1.10/1.10 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[130, 2749])).
% 1.10/1.10 tff(2751,plain,
% 1.10/1.10 (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[2293, 2748])).
% 1.10/1.10 tff(2752,plain,
% 1.10/1.10 (~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[101, 2751])).
% 1.10/1.10 tff(2753,plain,
% 1.10/1.10 ((~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))) | p202(X!0) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[2695, 2752, 2750])).
% 1.10/1.10 tff(2754,plain,
% 1.10/1.10 (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[2753, 2, 1])).
% 1.10/1.10 tff(2755,plain,
% 1.10/1.10 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[202, 2754])).
% 1.10/1.10 tff(2756,plain,
% 1.10/1.10 (![Y: $i] : (p104(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[2706, 2752])).
% 1.10/1.10 tff(2757,plain,
% 1.10/1.10 (![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[2756, 1783, 1])).
% 1.10/1.10 tff(2758,plain,
% 1.10/1.10 ((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[236, 2757])).
% 1.10/1.10 tff(2759,plain,
% 1.10/1.10 (p202(X!0) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[2711, 2750])).
% 1.10/1.10 tff(2760,plain,
% 1.10/1.10 (![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[2759, 2116, 2])).
% 1.10/1.10 tff(2761,plain,
% 1.10/1.10 ((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[457, 2760])).
% 1.10/1.10 tff(2762,plain,
% 1.10/1.10 ($false),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[613, 2761, 2758])).
% 1.10/1.10 tff(2763,plain,((~p303(X!0)) | p202(X!0) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 1.10/1.10 tff(2764,plain,
% 1.10/1.10 (~p303(X!0)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[2763, 2, 1])).
% 1.10/1.10 tff(2765,plain,
% 1.10/1.10 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[768, 2748])).
% 1.10/1.10 tff(2766,plain,
% 1.10/1.10 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[153, 2765])).
% 1.10/1.10 tff(2767,plain,
% 1.10/1.10 (p302(X!0) | p303(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[2702, 2766])).
% 1.10/1.10 tff(2768,plain,
% 1.10/1.10 (p302(X!0)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[2767, 2764, 2755])).
% 1.10/1.10 tff(2769,plain,
% 1.10/1.10 (~p502(X!0)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[1024, 2768])).
% 1.10/1.10 tff(2770,plain,
% 1.10/1.10 (~p602(X!0)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[958, 2768])).
% 1.10/1.10 tff(2771,plain,
% 1.10/1.10 (~p601(X!0)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[1579, 2674])).
% 1.10/1.10 tff(2772,plain,
% 1.10/1.10 (![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | p602(X!0) | p202(X!0) | p502(X!0)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[2504, 2771, 2694, 2693, 2684])).
% 1.10/1.10 tff(2773,plain,
% 1.10/1.10 (![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | p602(X!0) | p202(X!0) | p502(X!0)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[2772, 2752, 2750])).
% 1.10/1.10 tff(2774,plain,
% 1.10/1.10 ($false),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[2773, 2770, 2769, 1, 2])).
% 1.10/1.10 tff(2775,plain,(p202(X!0) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 1.10/1.10 tff(2776,plain,
% 1.10/1.10 (p202(X!0)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[2775, 1])).
% 1.10/1.10 tff(2777,plain,
% 1.10/1.10 (~p302(X!0)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[910, 2776])).
% 1.10/1.10 tff(2778,plain,
% 1.10/1.10 (~p602(X!0)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[924, 2776])).
% 1.10/1.10 tff(2779,plain,
% 1.10/1.10 (~p605(X!0)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[160, 2748])).
% 1.10/1.10 tff(2780,plain,
% 1.10/1.10 ((~p303(X!0)) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | p605(X!0) | p602(X!0)),
% 1.10/1.11 inference(unit_resolution,[status(thm)],[1787, 2771])).
% 1.10/1.11 tff(2781,plain,
% 1.10/1.11 ((~p303(X!0)) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | p602(X!0)),
% 1.10/1.11 inference(unit_resolution,[status(thm)],[2780, 2779, 2752])).
% 1.10/1.11 tff(2782,plain,
% 1.10/1.11 (~p303(X!0)),
% 1.10/1.11 inference(unit_resolution,[status(thm)],[2781, 2778, 1])).
% 1.10/1.11 tff(2783,plain,
% 1.10/1.11 (![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 1.10/1.11 inference(unit_resolution,[status(thm)],[2767, 2782, 2777])).
% 1.10/1.11 tff(2784,plain,
% 1.10/1.11 ((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0))),
% 1.10/1.11 inference(unit_resolution,[status(thm)],[202, 2783])).
% 1.10/1.11 tff(2785,plain,
% 1.10/1.11 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 1.10/1.11 inference(unit_resolution,[status(thm)],[186, 2784])).
% 1.10/1.11 tff(2786,plain,
% 1.10/1.11 (~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 1.10/1.11 inference(unit_resolution,[status(thm)],[236, 2785])).
% 1.10/1.11 tff(2787,plain,
% 1.10/1.11 (![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 1.10/1.11 inference(unit_resolution,[status(thm)],[2756, 2786, 1])).
% 1.10/1.11 tff(2788,plain,
% 1.10/1.11 (~p604(X!0)),
% 1.10/1.11 inference(unit_resolution,[status(thm)],[782, 2784])).
% 1.10/1.11 tff(2789,plain,
% 1.10/1.11 (p605(X!0) | p604(X!0) | p602(X!0) | p603(X!0)),
% 1.10/1.11 inference(unit_resolution,[status(thm)],[699, 2771])).
% 1.10/1.11 tff(2790,plain,
% 1.10/1.11 (p604(X!0) | p602(X!0) | p603(X!0)),
% 1.10/1.11 inference(unit_resolution,[status(thm)],[2789, 2779])).
% 1.10/1.11 tff(2791,plain,
% 1.10/1.11 (p603(X!0)),
% 1.10/1.11 inference(unit_resolution,[status(thm)],[2790, 2788, 2778])).
% 1.10/1.11 tff(2792,plain,
% 1.10/1.11 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 1.10/1.11 inference(unit_resolution,[status(thm)],[1316, 2791])).
% 1.10/1.11 tff(2793,plain,
% 1.10/1.11 ($false),
% 1.10/1.11 inference(unit_resolution,[status(thm)],[275, 2792, 2787])).
% 1.10/1.11 tff(2794,plain,(![Y: $i] : (p102(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 1.10/1.11 tff(2795,plain,
% 1.10/1.11 ((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0))),
% 1.10/1.11 inference(unit_resolution,[status(thm)],[498, 2794])).
% 1.10/1.11 tff(2796,plain,
% 1.10/1.11 (~p202(X!0)),
% 1.10/1.11 inference(unit_resolution,[status(thm)],[511, 2795])).
% 1.10/1.11 tff(2797,plain,
% 1.10/1.11 (~p302(X!0)),
% 1.10/1.11 inference(unit_resolution,[status(thm)],[1954, 2795])).
% 1.10/1.11 tff(2798,plain,
% 1.10/1.11 (~p602(X!0)),
% 1.10/1.11 inference(unit_resolution,[status(thm)],[1278, 2795])).
% 1.10/1.11 tff(2799,plain,
% 1.10/1.11 ((~p303(X!0)) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p202(X!0) | p605(X!0) | p602(X!0)),
% 1.10/1.11 inference(unit_resolution,[status(thm)],[2120, 2771, 2694])).
% 1.10/1.11 tff(2800,plain,
% 1.10/1.11 ((~p303(X!0)) | p202(X!0) | p602(X!0)),
% 1.10/1.11 inference(unit_resolution,[status(thm)],[2799, 2779, 2750])).
% 1.10/1.11 tff(2801,plain,
% 1.10/1.11 (~p303(X!0)),
% 1.10/1.11 inference(unit_resolution,[status(thm)],[2800, 2798, 2796])).
% 1.10/1.11 tff(2802,plain,
% 1.10/1.11 (![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 1.10/1.11 inference(unit_resolution,[status(thm)],[2767, 2801, 2797])).
% 1.10/1.11 tff(2803,plain,
% 1.10/1.11 ((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0))),
% 1.10/1.11 inference(unit_resolution,[status(thm)],[202, 2802])).
% 1.10/1.11 tff(2804,plain,
% 1.10/1.11 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 1.10/1.11 inference(unit_resolution,[status(thm)],[451, 2803])).
% 1.10/1.11 tff(2805,plain,
% 1.10/1.11 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 1.10/1.11 inference(unit_resolution,[status(thm)],[457, 2804])).
% 1.10/1.11 tff(2806,plain,
% 1.10/1.11 (![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 1.10/1.11 inference(unit_resolution,[status(thm)],[2759, 2805, 2796])).
% 1.10/1.11 tff(2807,plain,
% 1.10/1.11 (~p604(X!0)),
% 1.10/1.11 inference(unit_resolution,[status(thm)],[782, 2803])).
% 1.10/1.11 tff(2808,plain,
% 1.10/1.11 (p603(X!0)),
% 1.10/1.11 inference(unit_resolution,[status(thm)],[2790, 2807, 2798])).
% 1.10/1.11 tff(2809,plain,
% 1.10/1.11 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 1.10/1.11 inference(unit_resolution,[status(thm)],[824, 2808])).
% 1.10/1.11 tff(2810,plain,
% 1.10/1.11 ($false),
% 1.10/1.11 inference(unit_resolution,[status(thm)],[478, 2809, 2806])).
% 1.10/1.11 % SZS output end Proof
%------------------------------------------------------------------------------