%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : LCL684+1.005 : TPTP v9.3.1. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 03:00:39 PM UTC 2026
% Result : Theorem 0.45s 0.74s
% Output : Proof 0.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL684+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_E %s %d THM
% 0.07/0.35 % Computer : n031.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sat Sep 5 00:21:56 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.45/0.74 % SZS status Theorem
% 0.45/0.74 % SZS output start Proof
% 0.45/0.74 tff(p303_type, type, (
% 0.45/0.74 p303: $i > $o)).
% 0.45/0.74 tff(tptp_fun_X_0_type, type, (
% 0.45/0.74 tptp_fun_X_0: $i)).
% 0.45/0.74 tff(p301_type, type, (
% 0.45/0.74 p301: $i > $o)).
% 0.45/0.74 tff(p501_type, type, (
% 0.45/0.74 p501: $i > $o)).
% 0.45/0.74 tff(p201_type, type, (
% 0.45/0.74 p201: $i > $o)).
% 0.45/0.74 tff(r1_type, type, (
% 0.45/0.74 r1: ( $i * $i ) > $o)).
% 0.45/0.74 tff(p205_type, type, (
% 0.45/0.74 p205: $i > $o)).
% 0.45/0.74 tff(tptp_fun_Y_3_type, type, (
% 0.45/0.74 tptp_fun_Y_3: $i > $i)).
% 0.45/0.74 tff(p605_type, type, (
% 0.45/0.74 p605: $i > $o)).
% 0.45/0.74 tff(p601_type, type, (
% 0.45/0.74 p601: $i > $o)).
% 0.45/0.74 tff(p305_type, type, (
% 0.45/0.74 p305: $i > $o)).
% 0.45/0.74 tff(tptp_fun_Y_2_type, type, (
% 0.45/0.74 tptp_fun_Y_2: $i > $i)).
% 0.45/0.74 tff(p505_type, type, (
% 0.45/0.74 p505: $i > $o)).
% 0.45/0.74 tff(p503_type, type, (
% 0.45/0.74 p503: $i > $o)).
% 0.45/0.74 tff(p203_type, type, (
% 0.45/0.74 p203: $i > $o)).
% 0.45/0.74 tff(tptp_fun_Y_6_type, type, (
% 0.45/0.74 tptp_fun_Y_6: $i > $i)).
% 0.45/0.74 tff(p604_type, type, (
% 0.45/0.74 p604: $i > $o)).
% 0.45/0.74 tff(p504_type, type, (
% 0.45/0.74 p504: $i > $o)).
% 0.45/0.74 tff(p404_type, type, (
% 0.45/0.74 p404: $i > $o)).
% 0.45/0.74 tff(p304_type, type, (
% 0.45/0.74 p304: $i > $o)).
% 0.45/0.74 tff(tptp_fun_Y_10_type, type, (
% 0.45/0.74 tptp_fun_Y_10: $i > $i)).
% 0.45/0.74 tff(p204_type, type, (
% 0.45/0.74 p204: $i > $o)).
% 0.45/0.74 tff(tptp_fun_Y_8_type, type, (
% 0.45/0.74 tptp_fun_Y_8: $i > $i)).
% 0.45/0.74 tff(p104_type, type, (
% 0.45/0.74 p104: $i > $o)).
% 0.45/0.74 tff(tptp_fun_Y_9_type, type, (
% 0.45/0.74 tptp_fun_Y_9: $i > $i)).
% 0.45/0.74 tff(p603_type, type, (
% 0.45/0.74 p603: $i > $o)).
% 0.45/0.74 tff(p403_type, type, (
% 0.45/0.74 p403: $i > $o)).
% 0.45/0.74 tff(p103_type, type, (
% 0.45/0.74 p103: $i > $o)).
% 0.45/0.74 tff(tptp_fun_Y_7_type, type, (
% 0.45/0.74 tptp_fun_Y_7: $i > $i)).
% 0.45/0.74 tff(p101_type, type, (
% 0.45/0.74 p101: $i > $o)).
% 0.45/0.74 tff(p401_type, type, (
% 0.45/0.74 p401: $i > $o)).
% 0.45/0.74 tff(p105_type, type, (
% 0.45/0.74 p105: $i > $o)).
% 0.45/0.74 tff(tptp_fun_Y_4_type, type, (
% 0.45/0.74 tptp_fun_Y_4: $i > $i)).
% 0.45/0.74 tff(tptp_fun_Y_1_type, type, (
% 0.45/0.74 tptp_fun_Y_1: $i > $i)).
% 0.45/0.74 tff(p405_type, type, (
% 0.45/0.74 p405: $i > $o)).
% 0.45/0.74 tff(p302_type, type, (
% 0.45/0.74 p302: $i > $o)).
% 0.45/0.74 tff(p102_type, type, (
% 0.45/0.74 p102: $i > $o)).
% 0.45/0.74 tff(tptp_fun_Y_5_type, type, (
% 0.45/0.74 tptp_fun_Y_5: $i > $i)).
% 0.45/0.74 tff(p402_type, type, (
% 0.45/0.74 p402: $i > $o)).
% 0.45/0.74 tff(p502_type, type, (
% 0.45/0.74 p502: $i > $o)).
% 0.45/0.74 tff(p202_type, type, (
% 0.45/0.74 p202: $i > $o)).
% 0.45/0.74 tff(p602_type, type, (
% 0.45/0.74 p602: $i > $o)).
% 0.45/0.74 tff(1,assumption,(~p501(X!0)), introduced(assumption)).
% 0.45/0.74 tff(2,assumption,(~p201(X!0)), introduced(assumption)).
% 0.45/0.74 tff(3,assumption,(~p301(X!0)), introduced(assumption)).
% 0.45/0.74 tff(4,assumption,(p503(X!0)), introduced(assumption)).
% 0.45/0.74 tff(5,plain,
% 0.45/0.74 (^[X: $i] : refl(r1(X, X) <=> r1(X, X))),
% 0.45/0.74 inference(bind,[status(th)],[])).
% 0.45/0.74 tff(6,plain,
% 0.45/0.74 (![X: $i] : r1(X, X) <=> ![X: $i] : r1(X, X)),
% 0.45/0.74 inference(quant_intro,[status(thm)],[5])).
% 0.45/0.74 tff(7,plain,
% 0.45/0.74 (![X: $i] : r1(X, X) <=> ![X: $i] : r1(X, X)),
% 0.45/0.74 inference(rewrite,[status(thm)],[])).
% 0.45/0.74 tff(8,axiom,(![X: $i] : r1(X, X)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','reflexivity')).
% 0.45/0.74 tff(9,plain,
% 0.45/0.74 (![X: $i] : r1(X, X)),
% 0.45/0.74 inference(modus_ponens,[status(thm)],[8, 7])).
% 0.45/0.74 tff(10,plain,(
% 0.45/0.74 ![X: $i] : r1(X, X)),
% 0.45/0.74 inference(skolemize,[status(sab)],[9])).
% 0.45/0.74 tff(11,plain,
% 0.45/0.74 (![X: $i] : r1(X, X)),
% 0.45/0.74 inference(modus_ponens,[status(thm)],[10, 6])).
% 0.45/0.74 tff(12,plain,
% 0.45/0.74 ((~![X: $i] : r1(X, X)) | r1(X!0, X!0)),
% 0.45/0.74 inference(quant_inst,[status(thm)],[])).
% 0.45/0.74 tff(13,plain,
% 0.45/0.74 (r1(X!0, X!0)),
% 0.45/0.74 inference(unit_resolution,[status(thm)],[12, 11])).
% 0.45/0.74 tff(14,plain,
% 0.45/0.74 (^[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))))) | (~p505(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(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)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(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)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)) | (~p101(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p101(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p101(X)) | (~p501(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)) | (~p301(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p601(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p401(X)) | (~p501(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)) | (~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_4(X))) | p105(tptp_fun_Y_4(X)))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(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)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~p605(X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~p605(X))))))) <=> ((~r1(X!0, Y)) | (~((~![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)) | (~p301(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p601(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p401(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(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_7(X))) | p103(tptp_fun_Y_7(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_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)))) | (~p503(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p401(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~p302(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p202(X)) | (~p402(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)) | (~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p601(X)) | (~p501(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)) | (~(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)) | (~((~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)) | (~p101(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p101(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p101(X)) | (~p501(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)) | (~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)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(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)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(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)) | (~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)) | (~((~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_4(X))) | p105(tptp_fun_Y_4(X)))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(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)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~p605(X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~p605(X))))))))),
% 0.45/0.74 inference(bind,[status(th)],[])).
% 0.45/0.74 tff(15,plain,
% 0.45/0.74 (![Y: $i] : ((~r1(X!0, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(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)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(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)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)) | (~p101(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p101(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p101(X)) | (~p501(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)) | (~p301(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p601(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p401(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p601(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_4(X))) | p105(tptp_fun_Y_4(X)))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(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)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~p605(X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~p605(X)))))))),
% 0.45/0.74 inference(quant_intro,[status(thm)],[14])).
% 0.45/0.74 tff(16,plain,
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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_4(X))) | p105(tptp_fun_Y_4(X)))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(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)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~p605(X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(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))))) | (~p505(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(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)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(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))) | 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_4(X))) | p105(tptp_fun_Y_4(X)))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(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)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~p605(X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~p605(X))))))))),
% 0.45/0.75 inference(bind,[status(th)],[])).
% 0.45/0.75 tff(17,plain,
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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)) | (~p101(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p101(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p101(X)) | (~p501(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)) | (~p301(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p601(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p401(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p601(X)) | 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(~(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)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)) | (~p101(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p101(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p101(X)) | (~p501(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)) | (~p301(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p601(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p401(X)) | (~p501(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)) | (~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_4(X))) | p105(tptp_fun_Y_4(X)))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(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)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~p605(X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~p605(X)))))))),
% 0.45/0.75 inference(quant_intro,[status(thm)],[16])).
% 0.45/0.75 tff(18,plain,
% 0.45/0.75 (^[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))))) | (~p505(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(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)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(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)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)) | (~p101(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p101(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p101(X)) | (~p501(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)) | (~p301(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p601(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p401(X)) | (~p501(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)) | (~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_4(X))) | p105(tptp_fun_Y_4(X)))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(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)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~p605(X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(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))))) | (~p505(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(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)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(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)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)) | (~p101(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p101(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p101(X)) | (~p501(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)) | (~p301(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p601(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p401(X)) | (~p501(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)) | (~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_4(X))) | p105(tptp_fun_Y_4(X)))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(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)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~p605(X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~p605(X))))))))),
% 0.45/0.75 inference(bind,[status(th)],[])).
% 0.45/0.75 tff(19,plain,
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(~p605(X)))))))),
% 0.45/0.75 inference(quant_intro,[status(thm)],[18])).
% 0.45/0.75 tff(20,plain,
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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_4(X))) | p105(tptp_fun_Y_4(X)))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(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)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~p605(X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~p605(X)))))))),
% 0.45/0.76 inference(transitivity,[status(thm)],[19, 17])).
% 0.45/0.76 tff(21,plain,
% 0.45/0.76 (^[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))))) | (~p505(X))) & ![X: $i] : ((~r1(Y, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(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)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(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)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)) | (~((~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_4(X))) | p105(tptp_fun_Y_4(X)))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(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)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~p605(X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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))))) | (~p505(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(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)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(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)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)) | (~p101(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p101(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p101(X)) | (~p501(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)) | (~p301(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p601(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p401(X)) | (~p501(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)) | (~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_4(X))) | p105(tptp_fun_Y_4(X)))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(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)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~p605(X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~p605(X))))))))),
% 0.45/0.76 inference(bind,[status(th)],[])).
% 0.45/0.76 tff(22,plain,
% 0.45/0.76 (![Y: $i] : ((~r1(X!0, Y)) | (![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)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(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)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(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)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)) | (~((~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_4(X))) | p105(tptp_fun_Y_4(X)))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(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)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~p605(X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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))))) | (~p505(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(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)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(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)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)) | (~p101(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p101(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p101(X)) | (~p501(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)) | (~p301(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p601(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p401(X)) | (~p501(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)) | (~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_4(X))) | p105(tptp_fun_Y_4(X)))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(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)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~p605(X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~p605(X)))))))),
% 0.45/0.76 inference(quant_intro,[status(thm)],[21])).
% 0.45/0.76 tff(23,plain,
% 0.45/0.76 ((![Y: $i] : ((~r1(X!0, Y)) | (![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)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(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)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(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)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)) | (~((~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_4(X))) | p105(tptp_fun_Y_4(X)))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(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)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~p605(X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p605(X) & p505(X)))))) & ((p605(X!0) | p601(X!0) | p604(X!0) | p603(X!0) | p602(X!0)) & (p501(X!0) | p504(X!0) | p503(X!0) | p502(X!0) | p505(X!0)) & (p404(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p402(X!0) | p403(X!0) | p401(X!0)) & (p301(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p302(X!0) | p303(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y)))) & (p201(X!0) | 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)))) & (p101(X!0) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p103(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))))) | (~p505(X))) & ![X: $i] : ((~r1(Y, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(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)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(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)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)) | (~((~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_4(X))) | p105(tptp_fun_Y_4(X)))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(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)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~p605(X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p605(X) & p505(X)))))) & (p605(X!0) | p601(X!0) | p604(X!0) | p603(X!0) | p602(X!0)) & (p501(X!0) | p504(X!0) | p503(X!0) | p502(X!0) | p505(X!0)) & (p404(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p402(X!0) | p403(X!0) | p401(X!0)) & (p301(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p302(X!0) | p303(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y)))) & (p201(X!0) | 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)))) & (p101(X!0) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y)))))),
% 0.45/0.76 inference(rewrite,[status(thm)],[])).
% 0.45/0.76 tff(24,plain,
% 0.45/0.76 (((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) | p601(X!0) | p604(X!0) | p603(X!0) | p602(X!0)) & (p501(X!0) | p504(X!0) | p503(X!0) | p502(X!0) | p505(X!0)) & (p404(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p402(X!0) | p403(X!0) | p401(X!0)) & (p301(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p302(X!0) | p303(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y)))) & (p201(X!0) | 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)))) & (p101(X!0) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y)))))),
% 0.45/0.76 inference(rewrite,[status(thm)],[])).
% 0.45/0.76 tff(25,plain,
% 0.45/0.76 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | (![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)) | ((~p605(X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![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)) | (~(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)) | ((~(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_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))))) | (~p505(X))) & ![X: $i] : ((~r1(Y, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(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)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(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)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)) | (~((~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_4(X))) | p105(tptp_fun_Y_4(X)))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(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)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~p605(X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p605(X) & p505(X)))))))),
% 0.45/0.77 inference(bind,[status(th)],[])).
% 0.45/0.77 tff(26,plain,
% 0.45/0.77 (![Y: $i] : ((~r1(X!0, Y)) | (![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)) | ((~p605(X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![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)) | (~(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)) | ((~(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_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))))) | (~p505(X))) & ![X: $i] : ((~r1(Y, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(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)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(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)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)) | (~((~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_4(X))) | p105(tptp_fun_Y_4(X)))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(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)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~p605(X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p605(X) & p505(X))))))),
% 0.45/0.77 inference(quant_intro,[status(thm)],[25])).
% 0.45/0.77 tff(27,plain,
% 0.45/0.77 ((![Y: $i] : ((~r1(X!0, Y)) | (![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)) | ((~p605(X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![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)) | (~(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)) | ((~(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_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))))) | (~p505(X))) & ![X: $i] : ((~r1(Y, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(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)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(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)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)) | (~((~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_4(X))) | p105(tptp_fun_Y_4(X)))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(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)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~p605(X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p605(X) & p505(X)))))) & ((p605(X!0) | p601(X!0) | p604(X!0) | p603(X!0) | p602(X!0)) & (p501(X!0) | p504(X!0) | p503(X!0) | p502(X!0) | p505(X!0)) & (p404(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p402(X!0) | p403(X!0) | p401(X!0)) & (p301(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p302(X!0) | p303(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y)))) & (p201(X!0) | 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)))) & (p101(X!0) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y))))))),
% 0.45/0.77 inference(monotonicity,[status(thm)],[26, 24])).
% 0.45/0.77 tff(28,plain,
% 0.45/0.77 ((![Y: $i] : ((~r1(X!0, Y)) | (![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)) | ((~p605(X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![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)) | (~(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)) | ((~(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_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))))) | (~p505(X))) & ![X: $i] : ((~r1(Y, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(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)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(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)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)) | (~((~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_4(X))) | p105(tptp_fun_Y_4(X)))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(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)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~p605(X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p605(X) & p505(X)))))) & (p605(X!0) | p601(X!0) | p604(X!0) | p603(X!0) | p602(X!0)) & (p501(X!0) | p504(X!0) | p503(X!0) | p502(X!0) | p505(X!0)) & (p404(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p402(X!0) | p403(X!0) | p401(X!0)) & (p301(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p302(X!0) | p303(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y)))) & (p201(X!0) | 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)))) & (p101(X!0) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y)))))),
% 0.45/0.78 inference(transitivity,[status(thm)],[27, 23])).
% 0.45/0.78 tff(29,plain,
% 0.45/0.78 (?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p505(X) & ![Y: $i] : (p405(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & ![Y: $i] : (p305(Y) | (~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] : (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] : (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)) | 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)) | (~(p505(X) & ![Y: $i] : (p405(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & ![Y: $i] : (p305(Y) | (~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] : (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] : (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)) | 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))))))),
% 0.45/0.78 inference(rewrite,[status(thm)],[])).
% 0.45/0.78 tff(30,plain,
% 0.45/0.78 ((~(~?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p505(X) & ![Y: $i] : (p405(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & ![Y: $i] : (p305(Y) | (~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] : (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] : (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)) | 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)) | (~(p505(X) & ![Y: $i] : (p405(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & ![Y: $i] : (p305(Y) | (~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] : (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] : (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)) | 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))))))),
% 0.45/0.78 inference(rewrite,[status(thm)],[])).
% 0.45/0.78 tff(31,plain,
% 0.45/0.78 ((~?[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)) | (~(p505(X) & ![Y: $i] : (p405(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & ![Y: $i] : (p305(Y) | (~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] : (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] : (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)) | 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)))))))),
% 0.45/0.79 inference(rewrite,[status(thm)],[])).
% 0.45/0.79 tff(32,plain,
% 0.45/0.79 ((~(~?[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)) | (~(p505(X) & ![Y: $i] : (p405(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & ![Y: $i] : (p305(Y) | (~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] : (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] : (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)) | 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))))))))),
% 0.45/0.79 inference(monotonicity,[status(thm)],[31])).
% 0.45/0.79 tff(33,plain,
% 0.45/0.79 ((~(~?[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)) | (~(p505(X) & ![Y: $i] : (p405(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & ![Y: $i] : (p305(Y) | (~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] : (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] : (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)) | 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))))))),
% 0.45/0.79 inference(transitivity,[status(thm)],[32, 30])).
% 0.45/0.79 tff(34,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/sandbox2/benchmark/theBenchmark.p','main')).
% 0.45/0.79 tff(35,plain,
% 0.45/0.79 (?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p505(X) & ![Y: $i] : (p405(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & ![Y: $i] : (p305(Y) | (~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] : (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] : (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)) | 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))))))),
% 0.45/0.79 inference(modus_ponens,[status(thm)],[34, 33])).
% 0.45/0.79 tff(36,plain,
% 0.45/0.79 (?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p505(X) & ![Y: $i] : (p405(Y) | (~r1(X, Y))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p605(X) & ![Y: $i] : (p305(Y) | (~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] : (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] : (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)) | 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))))))),
% 0.55/0.80 inference(modus_ponens,[status(thm)],[35, 29])).
% 0.55/0.80 tff(37,plain,
% 0.55/0.80 (![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X))) & ![X: $i] : ((~r1(Y, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(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)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(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)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)) | (~((~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_4(X))) | p105(tptp_fun_Y_4(X)))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(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)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~p605(X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p605(X) & p505(X)))))) & (p605(X!0) | p601(X!0) | p604(X!0) | p603(X!0) | p602(X!0)) & (p501(X!0) | p504(X!0) | p503(X!0) | p502(X!0) | p505(X!0)) & (p404(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p402(X!0) | p403(X!0) | p401(X!0)) & (p301(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p302(X!0) | p303(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y)))) & (p201(X!0) | 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)))) & (p101(X!0) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y))))),
% 0.55/0.80 inference(modus_ponens,[status(thm)],[36, 28])).
% 0.55/0.80 tff(38,plain,
% 0.55/0.80 (![Y: $i] : ((~r1(X!0, Y)) | (![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X))) & ![X: $i] : ((~r1(Y, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(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)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(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)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)) | (~((~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_4(X))) | p105(tptp_fun_Y_4(X)))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(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)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~p605(X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p605(X) & p505(X))))))),
% 0.55/0.80 inference(and_elim,[status(thm)],[37])).
% 0.55/0.80 tff(39,plain,
% 0.55/0.80 (![Y: $i] : ((~r1(X!0, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(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)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(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)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)) | (~p101(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p101(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p101(X)) | (~p501(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)) | (~p301(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p601(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p401(X)) | (~p501(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)) | (~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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(~((~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_4(X))) | p105(tptp_fun_Y_4(X)))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(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)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~p605(X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~p605(X)))))))),
% 0.55/0.80 inference(modus_ponens,[status(thm)],[38, 22])).
% 0.55/0.80 tff(40,plain,
% 0.55/0.80 (![Y: $i] : ((~r1(X!0, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(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)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(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)) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)) | (~p101(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p101(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p101(X)) | (~p501(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)) | (~p301(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p601(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(Y, X)) | (~p401(X)) | (~p501(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)) | (~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_4(X))) | p105(tptp_fun_Y_4(X)))) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(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)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~p605(X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~p605(X)))))))),
% 0.55/0.80 inference(modus_ponens,[status(thm)],[39, 20])).
% 0.55/0.80 tff(41,plain,
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(~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(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)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~p605(X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~r1(Y, X)) | (~p505(X)) | (~p605(X)))))))),
% 0.55/0.80 inference(modus_ponens,[status(thm)],[40, 15])).
% 0.55/0.80 tff(42,plain,
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(~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(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)) | (~p303(X)) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(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)) | (~((~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)))) | (~p604(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)) | (~((~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_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)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(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_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(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)) | (~((~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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))))))),
% 0.55/0.81 inference(rewrite,[status(thm)],[])).
% 0.55/0.81 tff(43,plain,
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(~![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_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(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_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)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(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_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(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)) | (~((~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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))))))),
% 0.55/0.81 inference(rewrite,[status(thm)],[])).
% 0.55/0.81 tff(44,plain,
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(~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(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)) | (~p303(X)) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(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)) | (~((~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)))) | (~p604(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)) | (~((~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_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)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(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_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(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)) | (~((~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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))))))),
% 0.55/0.82 inference(monotonicity,[status(thm)],[43])).
% 0.55/0.82 tff(45,plain,
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p103(tptp_fun_Y_7(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p501(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)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, 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(X!0, X)) | (~p101(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(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)) | (~p303(X)) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(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)) | (~((~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)))) | (~p604(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)) | (~((~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_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)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(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_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(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)) | (~((~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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))))))),
% 0.55/0.82 inference(transitivity,[status(thm)],[44, 42])).
% 0.55/0.82 tff(46,plain,
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% 0.55/0.83 inference(quant_inst,[status(thm)],[])).
% 0.55/0.83 tff(47,plain,
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((~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)) | (~((~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_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)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(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_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(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)) | (~((~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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))))),
% 0.55/0.83 inference(modus_ponens,[status(thm)],[46, 45])).
% 0.55/0.83 tff(48,plain,
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(~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(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)) | (~((~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)))) | (~p604(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)) | (~((~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_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)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(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_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(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)) | (~((~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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))) | ![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))),
% 0.55/0.83 inference(tautology,[status(thm)],[])).
% 0.55/0.83 tff(50,plain,
% 0.55/0.83 (![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))),
% 0.55/0.83 inference(unit_resolution,[status(thm)],[49, 48])).
% 0.55/0.83 tff(51,plain,
% 0.55/0.83 (((~![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)) | (~p503(X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(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)) | (~p503(X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))))),
% 0.55/0.83 inference(rewrite,[status(thm)],[])).
% 0.55/0.83 tff(52,plain,
% 0.55/0.83 (((~((~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)) | (~p503(X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))))),
% 0.55/0.83 inference(rewrite,[status(thm)],[])).
% 0.55/0.83 tff(53,plain,
% 0.55/0.83 ((~((~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))))),
% 0.55/0.83 inference(rewrite,[status(thm)],[])).
% 0.55/0.83 tff(54,plain,
% 0.55/0.83 (((~((~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)))),
% 0.55/0.83 inference(monotonicity,[status(thm)],[53])).
% 0.55/0.83 tff(55,plain,
% 0.55/0.83 (((~((~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)) | (~p503(X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))))),
% 0.55/0.83 inference(transitivity,[status(thm)],[54, 52])).
% 0.55/0.83 tff(56,plain,
% 0.55/0.83 (((~![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)) | (~p503(X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0))))))),
% 0.55/0.83 inference(monotonicity,[status(thm)],[55])).
% 0.55/0.83 tff(57,plain,
% 0.55/0.83 (((~![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)) | (~p503(X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))))),
% 0.55/0.83 inference(transitivity,[status(thm)],[56, 51])).
% 0.55/0.83 tff(58,plain,
% 0.55/0.83 ((~![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)))),
% 0.55/0.83 inference(quant_inst,[status(thm)],[])).
% 0.55/0.83 tff(59,plain,
% 0.55/0.83 ((~![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)) | (~p503(X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0))))),
% 0.55/0.83 inference(modus_ponens,[status(thm)],[58, 57])).
% 0.55/0.83 tff(60,plain,
% 0.55/0.83 ((~p503(X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0))))),
% 0.55/0.83 inference(unit_resolution,[status(thm)],[59, 13, 50])).
% 0.55/0.83 tff(61,plain,
% 0.55/0.83 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 0.55/0.83 inference(unit_resolution,[status(thm)],[60, 4])).
% 0.55/0.83 tff(62,assumption,(![Y: $i] : (p203(Y) | (~r1(X!0, Y)))), introduced(assumption)).
% 0.55/0.83 tff(63,assumption,(~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))), introduced(assumption)).
% 0.55/0.83 tff(64,plain,
% 0.55/0.83 (((~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))),
% 0.55/0.83 inference(tautology,[status(thm)],[])).
% 0.55/0.83 tff(65,plain,
% 0.55/0.83 (r1(X!0, tptp_fun_Y_6(X!0))),
% 0.55/0.83 inference(unit_resolution,[status(thm)],[64, 63])).
% 0.55/0.83 tff(66,plain,
% 0.55/0.83 (((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0))) | (~p203(tptp_fun_Y_6(X!0)))),
% 0.55/0.83 inference(tautology,[status(thm)],[])).
% 0.55/0.83 tff(67,plain,
% 0.55/0.83 (~p203(tptp_fun_Y_6(X!0))),
% 0.55/0.83 inference(unit_resolution,[status(thm)],[66, 63])).
% 0.55/0.83 tff(68,assumption,(~p203(tptp_fun_Y_6(X!0))), introduced(assumption)).
% 0.55/0.83 tff(69,assumption,(r1(X!0, tptp_fun_Y_6(X!0))), introduced(assumption)).
% 0.55/0.83 tff(70,plain,
% 0.55/0.83 (((~![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))))),
% 0.55/0.83 inference(rewrite,[status(thm)],[])).
% 0.55/0.83 tff(71,plain,
% 0.55/0.83 ((~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))) | (p203(tptp_fun_Y_6(X!0)) | (~r1(X!0, tptp_fun_Y_6(X!0))))),
% 0.55/0.83 inference(quant_inst,[status(thm)],[])).
% 0.55/0.83 tff(72,plain,
% 0.55/0.83 ((~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))) | p203(tptp_fun_Y_6(X!0)) | (~r1(X!0, tptp_fun_Y_6(X!0)))),
% 0.55/0.83 inference(modus_ponens,[status(thm)],[71, 70])).
% 0.55/0.83 tff(73,plain,
% 0.55/0.83 ($false),
% 0.55/0.83 inference(unit_resolution,[status(thm)],[72, 62, 69, 68])).
% 0.55/0.83 tff(74,plain,((~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))) | (~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0))), inference(lemma,lemma(discharge,[]))).
% 0.55/0.83 tff(75,plain,
% 0.55/0.83 ($false),
% 0.55/0.83 inference(unit_resolution,[status(thm)],[74, 67, 65, 62])).
% 0.55/0.83 tff(76,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,[]))).
% 0.55/0.83 tff(77,plain,
% 0.55/0.83 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.55/0.83 inference(unit_resolution,[status(thm)],[76, 61])).
% 0.55/0.83 tff(78,assumption,(p401(X!0)), introduced(assumption)).
% 0.55/0.83 tff(79,plain,
% 0.55/0.83 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p303(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(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] : ((~p302(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] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(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] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(X)) | (~r1(X!0, 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)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, 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tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(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)) | (~p303(X)) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(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)) | (~((~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)))) | (~p604(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)) | (~((~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_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)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(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_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(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)) | (~((~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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))) | ![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p501(X)))),
% 0.55/0.84 inference(tautology,[status(thm)],[])).
% 0.55/0.84 tff(80,plain,
% 0.55/0.84 (![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p501(X)))),
% 0.55/0.84 inference(unit_resolution,[status(thm)],[79, 48])).
% 0.55/0.84 tff(81,plain,
% 0.55/0.84 (((~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p501(X)))) | ((~r1(X!0, X!0)) | (~p501(X!0)) | (~p401(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p501(X)))) | (~r1(X!0, X!0)) | (~p501(X!0)) | (~p401(X!0)))),
% 0.55/0.84 inference(rewrite,[status(thm)],[])).
% 0.55/0.84 tff(82,plain,
% 0.55/0.84 (((~r1(X!0, X!0)) | (~p401(X!0)) | (~p501(X!0))) <=> ((~r1(X!0, X!0)) | (~p501(X!0)) | (~p401(X!0)))),
% 0.55/0.84 inference(rewrite,[status(thm)],[])).
% 0.55/0.84 tff(83,plain,
% 0.55/0.84 (((~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p501(X)))) | ((~r1(X!0, X!0)) | (~p401(X!0)) | (~p501(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p501(X)))) | ((~r1(X!0, X!0)) | (~p501(X!0)) | (~p401(X!0))))),
% 0.55/0.84 inference(monotonicity,[status(thm)],[82])).
% 0.55/0.84 tff(84,plain,
% 0.55/0.84 (((~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p501(X)))) | ((~r1(X!0, X!0)) | (~p401(X!0)) | (~p501(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p501(X)))) | (~r1(X!0, X!0)) | (~p501(X!0)) | (~p401(X!0)))),
% 0.55/0.84 inference(transitivity,[status(thm)],[83, 81])).
% 0.55/0.84 tff(85,plain,
% 0.55/0.84 ((~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p501(X)))) | ((~r1(X!0, X!0)) | (~p401(X!0)) | (~p501(X!0)))),
% 0.55/0.84 inference(quant_inst,[status(thm)],[])).
% 0.55/0.84 tff(86,plain,
% 0.55/0.84 ((~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p501(X)))) | (~r1(X!0, X!0)) | (~p501(X!0)) | (~p401(X!0))),
% 0.55/0.84 inference(modus_ponens,[status(thm)],[85, 84])).
% 0.55/0.84 tff(87,plain,
% 0.55/0.84 ((~p501(X!0)) | (~p401(X!0))),
% 0.55/0.84 inference(unit_resolution,[status(thm)],[86, 13, 80])).
% 0.55/0.84 tff(88,plain,
% 0.55/0.84 (~p501(X!0)),
% 0.55/0.84 inference(unit_resolution,[status(thm)],[87, 78])).
% 0.55/0.84 tff(89,plain,
% 0.55/0.84 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p303(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(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] : ((~p302(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] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, 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(~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(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)) | (~((~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)))) | (~p604(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)) | (~((~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_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)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(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_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(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)) | (~((~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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))) | ![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))),
% 0.55/0.84 inference(tautology,[status(thm)],[])).
% 0.55/0.84 tff(90,plain,
% 0.55/0.84 (![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))),
% 0.55/0.84 inference(unit_resolution,[status(thm)],[89, 48])).
% 0.55/0.84 tff(91,plain,
% 0.55/0.84 (((~![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)) | (~p601(X!0)) | (~p401(X!0)))),
% 0.55/0.84 inference(rewrite,[status(thm)],[])).
% 0.55/0.84 tff(92,plain,
% 0.55/0.84 ((~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | ((~r1(X!0, X!0)) | (~p601(X!0)) | (~p401(X!0)))),
% 0.55/0.84 inference(quant_inst,[status(thm)],[])).
% 0.55/0.84 tff(93,plain,
% 0.55/0.84 ((~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~r1(X!0, X!0)) | (~p601(X!0)) | (~p401(X!0))),
% 0.55/0.84 inference(modus_ponens,[status(thm)],[92, 91])).
% 0.55/0.84 tff(94,plain,
% 0.55/0.84 ((~p601(X!0)) | (~p401(X!0))),
% 0.55/0.84 inference(unit_resolution,[status(thm)],[93, 13, 90])).
% 0.55/0.84 tff(95,plain,
% 0.55/0.84 (~p601(X!0)),
% 0.55/0.84 inference(unit_resolution,[status(thm)],[94, 78])).
% 0.55/0.84 tff(96,plain,
% 0.55/0.84 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p303(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(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] : ((~p302(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] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, 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(~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(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)) | (~((~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)))) | (~p604(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)) | (~((~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_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)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(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_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(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)) | (~((~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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))) | ![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p201(X)))),
% 0.55/0.84 inference(tautology,[status(thm)],[])).
% 0.55/0.84 tff(97,plain,
% 0.55/0.84 (![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p201(X)))),
% 0.55/0.84 inference(unit_resolution,[status(thm)],[96, 48])).
% 0.55/0.84 tff(98,plain,
% 0.55/0.84 (((~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p201(X)))) | ((~r1(X!0, X!0)) | (~p201(X!0)) | (~p401(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p201(X)))) | (~r1(X!0, X!0)) | (~p201(X!0)) | (~p401(X!0)))),
% 0.55/0.84 inference(rewrite,[status(thm)],[])).
% 0.55/0.84 tff(99,plain,
% 0.55/0.84 (((~r1(X!0, X!0)) | (~p401(X!0)) | (~p201(X!0))) <=> ((~r1(X!0, X!0)) | (~p201(X!0)) | (~p401(X!0)))),
% 0.55/0.84 inference(rewrite,[status(thm)],[])).
% 0.55/0.84 tff(100,plain,
% 0.55/0.84 (((~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p201(X)))) | ((~r1(X!0, X!0)) | (~p401(X!0)) | (~p201(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p201(X)))) | ((~r1(X!0, X!0)) | (~p201(X!0)) | (~p401(X!0))))),
% 0.55/0.84 inference(monotonicity,[status(thm)],[99])).
% 0.55/0.84 tff(101,plain,
% 0.55/0.84 (((~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p201(X)))) | ((~r1(X!0, X!0)) | (~p401(X!0)) | (~p201(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p201(X)))) | (~r1(X!0, X!0)) | (~p201(X!0)) | (~p401(X!0)))),
% 0.55/0.84 inference(transitivity,[status(thm)],[100, 98])).
% 0.55/0.84 tff(102,plain,
% 0.55/0.84 ((~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p201(X)))) | ((~r1(X!0, X!0)) | (~p401(X!0)) | (~p201(X!0)))),
% 0.55/0.84 inference(quant_inst,[status(thm)],[])).
% 0.55/0.84 tff(103,plain,
% 0.55/0.84 ((~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p201(X)))) | (~r1(X!0, X!0)) | (~p201(X!0)) | (~p401(X!0))),
% 0.55/0.84 inference(modus_ponens,[status(thm)],[102, 101])).
% 0.55/0.84 tff(104,plain,
% 0.55/0.84 ((~p201(X!0)) | (~p401(X!0))),
% 0.55/0.84 inference(unit_resolution,[status(thm)],[103, 13, 97])).
% 0.55/0.84 tff(105,plain,
% 0.55/0.84 (~p201(X!0)),
% 0.55/0.84 inference(unit_resolution,[status(thm)],[104, 78])).
% 0.55/0.84 tff(106,plain,
% 0.55/0.84 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p303(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(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] : ((~p302(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] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(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] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(X)) | (~r1(X!0, 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)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(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))))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p501(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)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, 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(X!0, X)) | (~p101(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(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)) | (~p303(X)) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(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)) | (~((~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)))) | (~p604(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)) | (~((~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_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)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(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_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(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)) | (~((~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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))) | ![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p301(X)))),
% 0.55/0.84 inference(tautology,[status(thm)],[])).
% 0.55/0.84 tff(107,plain,
% 0.55/0.84 (![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p301(X)))),
% 0.55/0.84 inference(unit_resolution,[status(thm)],[106, 48])).
% 0.55/0.84 tff(108,plain,
% 0.55/0.84 (((~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p301(X)))) | ((~r1(X!0, X!0)) | (~p301(X!0)) | (~p401(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p301(X)))) | (~r1(X!0, X!0)) | (~p301(X!0)) | (~p401(X!0)))),
% 0.55/0.84 inference(rewrite,[status(thm)],[])).
% 0.55/0.84 tff(109,plain,
% 0.55/0.84 (((~r1(X!0, X!0)) | (~p401(X!0)) | (~p301(X!0))) <=> ((~r1(X!0, X!0)) | (~p301(X!0)) | (~p401(X!0)))),
% 0.55/0.84 inference(rewrite,[status(thm)],[])).
% 0.55/0.84 tff(110,plain,
% 0.55/0.84 (((~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p301(X)))) | ((~r1(X!0, X!0)) | (~p401(X!0)) | (~p301(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p301(X)))) | ((~r1(X!0, X!0)) | (~p301(X!0)) | (~p401(X!0))))),
% 0.55/0.84 inference(monotonicity,[status(thm)],[109])).
% 0.55/0.84 tff(111,plain,
% 0.55/0.84 (((~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p301(X)))) | ((~r1(X!0, X!0)) | (~p401(X!0)) | (~p301(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p301(X)))) | (~r1(X!0, X!0)) | (~p301(X!0)) | (~p401(X!0)))),
% 0.55/0.84 inference(transitivity,[status(thm)],[110, 108])).
% 0.55/0.84 tff(112,plain,
% 0.55/0.84 ((~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p301(X)))) | ((~r1(X!0, X!0)) | (~p401(X!0)) | (~p301(X!0)))),
% 0.55/0.84 inference(quant_inst,[status(thm)],[])).
% 0.55/0.84 tff(113,plain,
% 0.55/0.84 ((~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p301(X)))) | (~r1(X!0, X!0)) | (~p301(X!0)) | (~p401(X!0))),
% 0.55/0.84 inference(modus_ponens,[status(thm)],[112, 111])).
% 0.55/0.84 tff(114,plain,
% 0.55/0.84 ((~p301(X!0)) | (~p401(X!0))),
% 0.55/0.84 inference(unit_resolution,[status(thm)],[113, 13, 107])).
% 0.55/0.84 tff(115,plain,
% 0.55/0.84 (~p301(X!0)),
% 0.55/0.84 inference(unit_resolution,[status(thm)],[114, 78])).
% 0.55/0.84 tff(116,assumption,(~p601(X!0)), introduced(assumption)).
% 0.55/0.84 tff(117,assumption,(~p202(X!0)), introduced(assumption)).
% 0.55/0.84 tff(118,assumption,(~p502(X!0)), introduced(assumption)).
% 0.55/0.84 tff(119,assumption,(~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))), introduced(assumption)).
% 0.55/0.84 tff(120,assumption,(~p505(X!0)), introduced(assumption)).
% 0.55/0.84 tff(121,assumption,(p604(X!0)), introduced(assumption)).
% 0.55/0.84 tff(122,plain,
% 0.55/0.84 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p303(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(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] : ((~p302(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] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, 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p204(tptp_fun_Y_8(X)))) | (~p604(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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))) | ![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))),
% 0.55/0.84 inference(tautology,[status(thm)],[])).
% 0.55/0.84 tff(123,plain,
% 0.55/0.84 (![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))),
% 0.55/0.84 inference(unit_resolution,[status(thm)],[122, 48])).
% 0.55/0.84 tff(124,plain,
% 0.55/0.84 (((~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | ((~p504(X!0)) | (~p604(X!0)) | (~r1(X!0, X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | (~p504(X!0)) | (~p604(X!0)) | (~r1(X!0, X!0)))),
% 0.55/0.84 inference(rewrite,[status(thm)],[])).
% 0.55/0.84 tff(125,plain,
% 0.55/0.84 (((~r1(X!0, X!0)) | (~p504(X!0)) | (~p604(X!0))) <=> ((~p504(X!0)) | (~p604(X!0)) | (~r1(X!0, X!0)))),
% 0.55/0.84 inference(rewrite,[status(thm)],[])).
% 0.55/0.84 tff(126,plain,
% 0.55/0.84 (((~![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)))) | ((~p504(X!0)) | (~p604(X!0)) | (~r1(X!0, X!0))))),
% 0.55/0.84 inference(monotonicity,[status(thm)],[125])).
% 0.55/0.84 tff(127,plain,
% 0.55/0.84 (((~![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)))) | (~p504(X!0)) | (~p604(X!0)) | (~r1(X!0, X!0)))),
% 0.55/0.84 inference(transitivity,[status(thm)],[126, 124])).
% 0.55/0.84 tff(128,plain,
% 0.55/0.84 ((~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | ((~r1(X!0, X!0)) | (~p504(X!0)) | (~p604(X!0)))),
% 0.55/0.84 inference(quant_inst,[status(thm)],[])).
% 0.55/0.84 tff(129,plain,
% 0.55/0.84 ((~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X)))) | (~p504(X!0)) | (~p604(X!0)) | (~r1(X!0, X!0))),
% 0.55/0.84 inference(modus_ponens,[status(thm)],[128, 127])).
% 0.55/0.84 tff(130,plain,
% 0.55/0.84 ((~p504(X!0)) | (~p604(X!0))),
% 0.55/0.84 inference(unit_resolution,[status(thm)],[129, 13, 123])).
% 0.55/0.84 tff(131,plain,
% 0.55/0.84 (~p504(X!0)),
% 0.55/0.84 inference(unit_resolution,[status(thm)],[130, 121])).
% 0.55/0.84 tff(132,plain,
% 0.55/0.84 (p501(X!0) | p504(X!0) | p503(X!0) | p502(X!0) | p505(X!0)),
% 0.55/0.84 inference(and_elim,[status(thm)],[37])).
% 0.55/0.84 tff(133,plain,
% 0.55/0.84 (p503(X!0)),
% 0.55/0.84 inference(unit_resolution,[status(thm)],[132, 131, 1, 120, 118])).
% 0.55/0.84 tff(134,plain,
% 0.55/0.84 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 0.55/0.84 inference(unit_resolution,[status(thm)],[60, 133])).
% 0.55/0.84 tff(135,plain,
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X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p503(X)))) | (~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(X)) | (~r1(X!0, 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)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(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))))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p501(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)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, 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(X!0, X)) | (~p101(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(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)) | (~p303(X)) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(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)) | (~((~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)))) | (~p604(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)) | (~((~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_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)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(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_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(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)) | (~((~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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))) | ![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))),
% 0.55/0.85 inference(tautology,[status(thm)],[])).
% 0.55/0.85 tff(136,plain,
% 0.55/0.85 (![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))),
% 0.55/0.85 inference(unit_resolution,[status(thm)],[135, 48])).
% 0.55/0.85 tff(137,plain,
% 0.55/0.85 (((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | ((~p604(X!0)) | (~r1(X!0, 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)))) | (~p604(X)))) | (~p604(X!0)) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))))),
% 0.55/0.85 inference(rewrite,[status(thm)],[])).
% 0.55/0.85 tff(138,plain,
% 0.55/0.85 (((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))) | (~p604(X!0))) <=> ((~p604(X!0)) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))))),
% 0.55/0.85 inference(rewrite,[status(thm)],[])).
% 0.55/0.85 tff(139,plain,
% 0.55/0.85 ((~((~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))))),
% 0.55/0.85 inference(rewrite,[status(thm)],[])).
% 0.55/0.85 tff(140,plain,
% 0.55/0.85 (((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))) | (~p604(X!0))) <=> ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))) | (~p604(X!0)))),
% 0.55/0.85 inference(monotonicity,[status(thm)],[139])).
% 0.55/0.85 tff(141,plain,
% 0.55/0.85 (((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))) | (~p604(X!0))) <=> ((~p604(X!0)) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))))),
% 0.55/0.85 inference(transitivity,[status(thm)],[140, 138])).
% 0.55/0.85 tff(142,plain,
% 0.55/0.85 (((~![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)))) | ((~p604(X!0)) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0))))))),
% 0.55/0.85 inference(monotonicity,[status(thm)],[141])).
% 0.55/0.85 tff(143,plain,
% 0.55/0.85 (((~![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)))) | (~p604(X!0)) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))))),
% 0.55/0.85 inference(transitivity,[status(thm)],[142, 137])).
% 0.55/0.85 tff(144,plain,
% 0.55/0.85 ((~![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)))),
% 0.55/0.85 inference(quant_inst,[status(thm)],[])).
% 0.55/0.85 tff(145,plain,
% 0.55/0.85 ((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p604(X)))) | (~p604(X!0)) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0))))),
% 0.55/0.85 inference(modus_ponens,[status(thm)],[144, 143])).
% 0.55/0.85 tff(146,plain,
% 0.55/0.85 ((~p604(X!0)) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0))))),
% 0.55/0.85 inference(unit_resolution,[status(thm)],[145, 13, 136])).
% 0.55/0.85 tff(147,plain,
% 0.55/0.85 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 0.55/0.85 inference(unit_resolution,[status(thm)],[146, 121])).
% 0.55/0.85 tff(148,assumption,(![Y: $i] : (p204(Y) | (~r1(X!0, Y)))), introduced(assumption)).
% 0.55/0.85 tff(149,assumption,(~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))), introduced(assumption)).
% 0.55/0.85 tff(150,plain,
% 0.55/0.85 (((~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))),
% 0.55/0.85 inference(tautology,[status(thm)],[])).
% 0.55/0.85 tff(151,plain,
% 0.55/0.85 (r1(X!0, tptp_fun_Y_8(X!0))),
% 0.55/0.85 inference(unit_resolution,[status(thm)],[150, 149])).
% 0.55/0.85 tff(152,plain,
% 0.55/0.85 (((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0))) | (~p204(tptp_fun_Y_8(X!0)))),
% 0.55/0.85 inference(tautology,[status(thm)],[])).
% 0.55/0.85 tff(153,plain,
% 0.55/0.85 (~p204(tptp_fun_Y_8(X!0))),
% 0.55/0.85 inference(unit_resolution,[status(thm)],[152, 149])).
% 0.55/0.85 tff(154,assumption,(~p204(tptp_fun_Y_8(X!0))), introduced(assumption)).
% 0.55/0.85 tff(155,assumption,(r1(X!0, tptp_fun_Y_8(X!0))), introduced(assumption)).
% 0.55/0.85 tff(156,plain,
% 0.55/0.85 (((~![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))))),
% 0.55/0.85 inference(rewrite,[status(thm)],[])).
% 0.55/0.85 tff(157,plain,
% 0.55/0.85 ((~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))) | (p204(tptp_fun_Y_8(X!0)) | (~r1(X!0, tptp_fun_Y_8(X!0))))),
% 0.55/0.85 inference(quant_inst,[status(thm)],[])).
% 0.55/0.85 tff(158,plain,
% 0.55/0.85 ((~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))) | p204(tptp_fun_Y_8(X!0)) | (~r1(X!0, tptp_fun_Y_8(X!0)))),
% 0.55/0.85 inference(modus_ponens,[status(thm)],[157, 156])).
% 0.55/0.85 tff(159,plain,
% 0.55/0.85 ($false),
% 0.55/0.85 inference(unit_resolution,[status(thm)],[158, 148, 155, 154])).
% 0.55/0.85 tff(160,plain,((~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))) | (~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0))), inference(lemma,lemma(discharge,[]))).
% 0.55/0.85 tff(161,plain,
% 0.55/0.85 ($false),
% 0.55/0.85 inference(unit_resolution,[status(thm)],[160, 153, 151, 148])).
% 0.55/0.85 tff(162,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,[]))).
% 0.55/0.85 tff(163,plain,
% 0.55/0.85 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.55/0.85 inference(unit_resolution,[status(thm)],[162, 147])).
% 0.55/0.85 tff(164,plain,
% 0.55/0.85 ((p201(X!0) | 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)))) <=> (p201(X!0) | p202(X!0) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))))),
% 0.55/0.85 inference(rewrite,[status(thm)],[])).
% 0.55/0.85 tff(165,plain,
% 0.55/0.85 ((p201(X!0) | 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)))) <=> (p201(X!0) | 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))))),
% 0.55/0.85 inference(rewrite,[status(thm)],[])).
% 0.55/0.85 tff(166,plain,
% 0.55/0.85 (p201(X!0) | 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)))),
% 0.55/0.85 inference(and_elim,[status(thm)],[37])).
% 0.55/0.85 tff(167,plain,
% 0.55/0.85 (p201(X!0) | 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)))),
% 0.55/0.85 inference(modus_ponens,[status(thm)],[166, 165])).
% 0.55/0.85 tff(168,plain,
% 0.55/0.85 (p201(X!0) | p202(X!0) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.55/0.85 inference(modus_ponens,[status(thm)],[167, 164])).
% 0.55/0.85 tff(169,plain,
% 0.55/0.85 (![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.55/0.85 inference(unit_resolution,[status(thm)],[168, 163, 117, 2, 119])).
% 0.55/0.85 tff(170,plain,
% 0.55/0.85 ($false),
% 0.55/0.85 inference(unit_resolution,[status(thm)],[76, 169, 134])).
% 0.55/0.85 tff(171,plain,((~p604(X!0)) | p202(X!0) | p201(X!0) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p501(X!0) | p505(X!0) | p502(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.55/0.85 tff(172,plain,
% 0.55/0.85 (~p604(X!0)),
% 0.55/0.85 inference(unit_resolution,[status(thm)],[171, 120, 2, 119, 1, 117, 118])).
% 0.55/0.85 tff(173,assumption,(~p604(X!0)), introduced(assumption)).
% 0.55/0.85 tff(174,assumption,(~p605(X!0)), introduced(assumption)).
% 0.55/0.85 tff(175,assumption,(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0)))), introduced(assumption)).
% 0.55/0.85 tff(176,plain,
% 0.55/0.85 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p303(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(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] : ((~p302(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] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(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] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(X)) | (~r1(X!0, 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)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(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))))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p501(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)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, 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(X!0, X)) | (~p101(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(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)) | (~p303(X)) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(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)) | (~((~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)))) | (~p604(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)) | (~((~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_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)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(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_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(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)) | (~((~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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))) | ![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))),
% 0.55/0.85 inference(tautology,[status(thm)],[])).
% 0.55/0.85 tff(177,plain,
% 0.55/0.85 (![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))),
% 0.55/0.85 inference(unit_resolution,[status(thm)],[176, 48])).
% 0.55/0.85 tff(178,plain,
% 0.55/0.85 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))))) <=> ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))))),
% 0.55/0.85 inference(rewrite,[status(thm)],[])).
% 0.55/0.85 tff(179,plain,
% 0.55/0.85 (((~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | (~r1(X!0, X!0)) | (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0)))))) <=> ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))))),
% 0.55/0.85 inference(rewrite,[status(thm)],[])).
% 0.55/0.85 tff(180,plain,
% 0.55/0.85 ((~((~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))))),
% 0.55/0.85 inference(rewrite,[status(thm)],[])).
% 0.55/0.85 tff(181,plain,
% 0.55/0.85 (((~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | (~r1(X!0, X!0)) | (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0)))))) <=> ((~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | (~r1(X!0, X!0)) | (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))))),
% 0.55/0.85 inference(monotonicity,[status(thm)],[180])).
% 0.55/0.85 tff(182,plain,
% 0.55/0.85 (((~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | (~r1(X!0, X!0)) | (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0)))))) <=> ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))))),
% 0.55/0.85 inference(transitivity,[status(thm)],[181, 179])).
% 0.55/0.85 tff(183,plain,
% 0.55/0.85 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | ((~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | (~r1(X!0, X!0)) | (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))))) <=> ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0)))))))),
% 0.55/0.85 inference(monotonicity,[status(thm)],[182])).
% 0.55/0.85 tff(184,plain,
% 0.55/0.85 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | ((~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | (~r1(X!0, X!0)) | (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))))) <=> ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))))),
% 0.55/0.85 inference(transitivity,[status(thm)],[183, 178])).
% 0.55/0.85 tff(185,plain,
% 0.55/0.85 ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | ((~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | (~r1(X!0, X!0)) | (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))))),
% 0.55/0.85 inference(quant_inst,[status(thm)],[])).
% 0.55/0.85 tff(186,plain,
% 0.55/0.85 ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0)))))),
% 0.55/0.85 inference(modus_ponens,[status(thm)],[185, 184])).
% 0.55/0.85 tff(187,plain,
% 0.55/0.85 ((~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0)))))),
% 0.55/0.85 inference(unit_resolution,[status(thm)],[186, 13, 177])).
% 0.55/0.85 tff(188,plain,
% 0.55/0.85 (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))),
% 0.55/0.85 inference(unit_resolution,[status(thm)],[187, 175])).
% 0.55/0.85 tff(189,assumption,(![Y: $i] : (p105(Y) | (~r1(X!0, Y)))), introduced(assumption)).
% 0.55/0.85 tff(190,assumption,(~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))), introduced(assumption)).
% 0.55/0.85 tff(191,plain,
% 0.55/0.85 (((~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))),
% 0.55/0.85 inference(tautology,[status(thm)],[])).
% 0.55/0.85 tff(192,plain,
% 0.55/0.85 (r1(X!0, tptp_fun_Y_4(X!0))),
% 0.55/0.85 inference(unit_resolution,[status(thm)],[191, 190])).
% 0.55/0.85 tff(193,plain,
% 0.55/0.85 (((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0))) | (~p105(tptp_fun_Y_4(X!0)))),
% 0.55/0.85 inference(tautology,[status(thm)],[])).
% 0.55/0.85 tff(194,plain,
% 0.55/0.85 (~p105(tptp_fun_Y_4(X!0))),
% 0.55/0.85 inference(unit_resolution,[status(thm)],[193, 190])).
% 0.55/0.85 tff(195,assumption,(~p105(tptp_fun_Y_4(X!0))), introduced(assumption)).
% 0.55/0.85 tff(196,assumption,(r1(X!0, tptp_fun_Y_4(X!0))), introduced(assumption)).
% 0.55/0.85 tff(197,plain,
% 0.55/0.85 (((~![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))))),
% 0.55/0.85 inference(rewrite,[status(thm)],[])).
% 0.55/0.85 tff(198,plain,
% 0.55/0.85 ((~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))) | (p105(tptp_fun_Y_4(X!0)) | (~r1(X!0, tptp_fun_Y_4(X!0))))),
% 0.55/0.85 inference(quant_inst,[status(thm)],[])).
% 0.55/0.85 tff(199,plain,
% 0.55/0.85 ((~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))) | p105(tptp_fun_Y_4(X!0)) | (~r1(X!0, tptp_fun_Y_4(X!0)))),
% 0.55/0.85 inference(modus_ponens,[status(thm)],[198, 197])).
% 0.55/0.85 tff(200,plain,
% 0.55/0.85 ($false),
% 0.55/0.85 inference(unit_resolution,[status(thm)],[199, 189, 196, 195])).
% 0.55/0.85 tff(201,plain,((~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))) | (~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0))), inference(lemma,lemma(discharge,[]))).
% 0.55/0.85 tff(202,plain,
% 0.55/0.85 ($false),
% 0.55/0.85 inference(unit_resolution,[status(thm)],[201, 194, 192, 189])).
% 0.55/0.85 tff(203,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,[]))).
% 0.55/0.85 tff(204,plain,
% 0.55/0.85 (~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.55/0.85 inference(unit_resolution,[status(thm)],[203, 188])).
% 0.55/0.85 tff(205,plain,
% 0.55/0.85 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p303(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(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] : ((~p302(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] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(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] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(X)) | (~r1(X!0, 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)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(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))))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p501(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)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, 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(X!0, X)) | (~p101(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(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)) | (~p303(X)) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(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)) | (~((~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)))) | (~p604(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)) | (~((~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_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)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(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_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(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)) | (~((~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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))) | ![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))),
% 0.55/0.85 inference(tautology,[status(thm)],[])).
% 0.55/0.85 tff(206,plain,
% 0.55/0.85 (![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))),
% 0.55/0.85 inference(unit_resolution,[status(thm)],[205, 48])).
% 0.55/0.85 tff(207,plain,
% 0.55/0.85 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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))))) | (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))))) <=> ((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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))))) | (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))))),
% 0.55/0.85 inference(rewrite,[status(thm)],[])).
% 0.55/0.85 tff(208,plain,
% 0.55/0.85 (((~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))) | (~r1(X!0, X!0)) | (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0)))))) <=> ((~r1(X!0, X!0)) | (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))) | (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))))),
% 0.55/0.85 inference(rewrite,[status(thm)],[])).
% 0.55/0.85 tff(209,plain,
% 0.55/0.85 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | ((~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))) | (~r1(X!0, X!0)) | (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))))) <=> ((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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))))) | (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0)))))))),
% 0.55/0.85 inference(monotonicity,[status(thm)],[208])).
% 0.55/0.85 tff(210,plain,
% 0.55/0.85 (((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | ((~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))) | (~r1(X!0, X!0)) | (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))))) <=> ((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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))))) | (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))))),
% 0.55/0.85 inference(transitivity,[status(thm)],[209, 207])).
% 0.55/0.85 tff(211,plain,
% 0.55/0.85 ((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | ((~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))) | (~r1(X!0, X!0)) | (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))))),
% 0.55/0.86 inference(quant_inst,[status(thm)],[])).
% 0.55/0.86 tff(212,plain,
% 0.55/0.86 ((~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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))))) | (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0)))))),
% 0.55/0.86 inference(modus_ponens,[status(thm)],[211, 210])).
% 0.55/0.86 tff(213,plain,
% 0.55/0.86 ((~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))) | (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0)))))),
% 0.55/0.86 inference(unit_resolution,[status(thm)],[212, 13, 206])).
% 0.55/0.86 tff(214,plain,
% 0.55/0.86 (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))),
% 0.55/0.86 inference(unit_resolution,[status(thm)],[213, 175])).
% 0.55/0.86 tff(215,assumption,(~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))), introduced(assumption)).
% 0.55/0.86 tff(216,plain,
% 0.55/0.86 ((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))),
% 0.55/0.86 inference(tautology,[status(thm)],[])).
% 0.55/0.86 tff(217,plain,
% 0.55/0.86 (r1(X!0, tptp_fun_Y_1(X!0))),
% 0.55/0.86 inference(unit_resolution,[status(thm)],[216, 215])).
% 0.55/0.86 tff(218,plain,
% 0.55/0.86 ((p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0)))) | (~p405(tptp_fun_Y_1(X!0)))),
% 0.55/0.86 inference(tautology,[status(thm)],[])).
% 0.55/0.86 tff(219,plain,
% 0.55/0.86 (~p405(tptp_fun_Y_1(X!0))),
% 0.55/0.86 inference(unit_resolution,[status(thm)],[218, 215])).
% 0.55/0.86 tff(220,assumption,(![Y: $i] : (p405(Y) | (~r1(X!0, Y)))), introduced(assumption)).
% 0.55/0.86 tff(221,plain,
% 0.55/0.86 (((~![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))))),
% 0.55/0.86 inference(rewrite,[status(thm)],[])).
% 0.55/0.86 tff(222,plain,
% 0.55/0.86 ((~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))) | (p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))),
% 0.55/0.86 inference(quant_inst,[status(thm)],[])).
% 0.55/0.86 tff(223,plain,
% 0.55/0.86 ((~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))) | p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0)))),
% 0.55/0.86 inference(modus_ponens,[status(thm)],[222, 221])).
% 0.55/0.86 tff(224,plain,
% 0.55/0.86 ($false),
% 0.55/0.86 inference(unit_resolution,[status(thm)],[223, 220, 219, 217])).
% 0.55/0.86 tff(225,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,[]))).
% 0.55/0.86 tff(226,plain,
% 0.55/0.86 (~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.55/0.86 inference(unit_resolution,[status(thm)],[225, 214])).
% 0.55/0.86 tff(227,plain,
% 0.55/0.86 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p303(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(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] : ((~p302(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] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(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] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(X)) | (~r1(X!0, 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)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(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))))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p501(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)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, 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(X!0, X)) | (~p101(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(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)) | (~p303(X)) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(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)) | (~((~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)))) | (~p604(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)) | (~((~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_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)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(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_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(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)) | (~((~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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))) | ![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))),
% 0.55/0.86 inference(tautology,[status(thm)],[])).
% 0.55/0.86 tff(228,plain,
% 0.55/0.86 (![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))),
% 0.55/0.86 inference(unit_resolution,[status(thm)],[227, 48])).
% 0.55/0.86 tff(229,plain,
% 0.55/0.86 (((~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | ((~p505(X!0)) | (~r1(X!0, X!0)) | (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))))) <=> ((~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~p505(X!0)) | (~r1(X!0, X!0)) | (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))))),
% 0.55/0.86 inference(rewrite,[status(thm)],[])).
% 0.55/0.86 tff(230,plain,
% 0.55/0.86 ((~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | ((~p505(X!0)) | (~r1(X!0, X!0)) | (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))))),
% 0.55/0.86 inference(quant_inst,[status(thm)],[])).
% 0.55/0.86 tff(231,plain,
% 0.55/0.86 ((~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~p505(X!0)) | (~r1(X!0, X!0)) | (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0)))))),
% 0.55/0.86 inference(modus_ponens,[status(thm)],[230, 229])).
% 0.55/0.86 tff(232,plain,
% 0.55/0.86 ((~p505(X!0)) | (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0)))))),
% 0.55/0.86 inference(unit_resolution,[status(thm)],[231, 13, 228])).
% 0.55/0.86 tff(233,plain,
% 0.55/0.86 (~p505(X!0)),
% 0.55/0.86 inference(unit_resolution,[status(thm)],[232, 175])).
% 0.55/0.86 tff(234,plain,
% 0.55/0.86 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p303(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(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] : ((~p302(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] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(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] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(X)) | (~r1(X!0, 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)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(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))))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p501(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)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, 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(X!0, X)) | (~p101(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(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)) | (~p303(X)) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(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)) | (~((~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)))) | (~p604(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)) | (~((~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_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)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(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_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(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)) | (~((~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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))) | ![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))),
% 0.55/0.86 inference(tautology,[status(thm)],[])).
% 0.55/0.86 tff(235,plain,
% 0.55/0.86 (![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))),
% 0.55/0.86 inference(unit_resolution,[status(thm)],[234, 48])).
% 0.55/0.86 tff(236,plain,
% 0.55/0.86 (((~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | ((~r1(X!0, X!0)) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))) | (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))))) <=> ((~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~r1(X!0, X!0)) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))) | (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))))),
% 0.55/0.86 inference(rewrite,[status(thm)],[])).
% 0.55/0.86 tff(237,plain,
% 0.55/0.86 (((~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))) | (~r1(X!0, X!0)) | (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, 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))))) | (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))))),
% 0.55/0.86 inference(rewrite,[status(thm)],[])).
% 0.55/0.86 tff(238,plain,
% 0.55/0.86 (((~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | ((~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))) | (~r1(X!0, X!0)) | (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))))) <=> ((~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | ((~r1(X!0, X!0)) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))) | (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0)))))))),
% 0.55/0.86 inference(monotonicity,[status(thm)],[237])).
% 0.55/0.86 tff(239,plain,
% 0.55/0.86 (((~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | ((~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))) | (~r1(X!0, X!0)) | (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))))) <=> ((~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~r1(X!0, X!0)) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))) | (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))))),
% 0.55/0.86 inference(transitivity,[status(thm)],[238, 236])).
% 0.55/0.86 tff(240,plain,
% 0.55/0.86 ((~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | ((~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))) | (~r1(X!0, X!0)) | (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))))),
% 0.55/0.86 inference(quant_inst,[status(thm)],[])).
% 0.55/0.86 tff(241,plain,
% 0.55/0.86 ((~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~r1(X!0, X!0)) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))) | (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0)))))),
% 0.55/0.86 inference(modus_ponens,[status(thm)],[240, 239])).
% 0.55/0.86 tff(242,plain,
% 0.55/0.86 ((~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))) | (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0)))))),
% 0.55/0.86 inference(unit_resolution,[status(thm)],[241, 13, 235])).
% 0.55/0.86 tff(243,plain,
% 0.55/0.86 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 0.55/0.86 inference(unit_resolution,[status(thm)],[242, 175])).
% 0.55/0.86 tff(244,assumption,(![Y: $i] : (p305(Y) | (~r1(X!0, Y)))), introduced(assumption)).
% 0.55/0.86 tff(245,assumption,(~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))), introduced(assumption)).
% 0.55/0.86 tff(246,plain,
% 0.55/0.86 ((p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0)))) | (~p305(tptp_fun_Y_2(X!0)))),
% 0.55/0.86 inference(tautology,[status(thm)],[])).
% 0.55/0.86 tff(247,plain,
% 0.55/0.86 (~p305(tptp_fun_Y_2(X!0))),
% 0.55/0.86 inference(unit_resolution,[status(thm)],[246, 245])).
% 0.55/0.86 tff(248,plain,
% 0.55/0.86 ((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))),
% 0.55/0.86 inference(tautology,[status(thm)],[])).
% 0.55/0.86 tff(249,plain,
% 0.55/0.86 (r1(X!0, tptp_fun_Y_2(X!0))),
% 0.55/0.86 inference(unit_resolution,[status(thm)],[248, 245])).
% 0.55/0.86 tff(250,assumption,(r1(X!0, tptp_fun_Y_2(X!0))), introduced(assumption)).
% 0.55/0.86 tff(251,assumption,(~p305(tptp_fun_Y_2(X!0))), introduced(assumption)).
% 0.55/0.86 tff(252,plain,
% 0.55/0.86 (((~![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))))),
% 0.55/0.86 inference(rewrite,[status(thm)],[])).
% 0.55/0.86 tff(253,plain,
% 0.55/0.86 ((~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))) | (p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 0.55/0.86 inference(quant_inst,[status(thm)],[])).
% 0.55/0.86 tff(254,plain,
% 0.55/0.86 ((~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))) | p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0)))),
% 0.55/0.86 inference(modus_ponens,[status(thm)],[253, 252])).
% 0.55/0.86 tff(255,plain,
% 0.55/0.86 ($false),
% 0.55/0.86 inference(unit_resolution,[status(thm)],[254, 244, 251, 250])).
% 0.55/0.86 tff(256,plain,((~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))) | p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0)))), inference(lemma,lemma(discharge,[]))).
% 0.55/0.86 tff(257,plain,
% 0.55/0.86 ($false),
% 0.55/0.86 inference(unit_resolution,[status(thm)],[256, 249, 247, 244])).
% 0.55/0.86 tff(258,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,[]))).
% 0.55/0.86 tff(259,plain,
% 0.55/0.86 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.55/0.86 inference(unit_resolution,[status(thm)],[258, 243])).
% 0.55/0.86 tff(260,assumption,(~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))), introduced(assumption)).
% 0.55/0.86 tff(261,assumption,(~p503(X!0)), introduced(assumption)).
% 0.55/0.86 tff(262,assumption,(~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))), introduced(assumption)).
% 0.55/0.86 tff(263,assumption,(~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))), introduced(assumption)).
% 0.55/0.86 tff(264,assumption,(~p401(X!0)), introduced(assumption)).
% 0.55/0.86 tff(265,assumption,(~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))), introduced(assumption)).
% 0.55/0.86 tff(266,assumption,(p101(X!0)), introduced(assumption)).
% 0.55/0.86 tff(267,plain,
% 0.55/0.86 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p303(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(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] : ((~p302(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] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(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] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(X)) | (~r1(X!0, 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)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(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))))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p501(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)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, 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(X!0, X)) | (~p101(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(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)) | (~p303(X)) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(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)) | (~((~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)))) | (~p604(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)) | (~((~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_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)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(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_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(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)) | (~((~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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))) | ![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))),
% 0.55/0.86 inference(tautology,[status(thm)],[])).
% 0.55/0.86 tff(268,plain,
% 0.55/0.86 (![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))),
% 0.55/0.86 inference(unit_resolution,[status(thm)],[267, 48])).
% 0.55/0.86 tff(269,plain,
% 0.55/0.86 (((~![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)))),
% 0.55/0.86 inference(rewrite,[status(thm)],[])).
% 0.55/0.86 tff(270,plain,
% 0.55/0.86 ((~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | ((~r1(X!0, X!0)) | (~p101(X!0)) | (~p401(X!0)))),
% 0.55/0.86 inference(quant_inst,[status(thm)],[])).
% 0.55/0.86 tff(271,plain,
% 0.55/0.86 ((~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~r1(X!0, X!0)) | (~p101(X!0)) | (~p401(X!0))),
% 0.55/0.86 inference(modus_ponens,[status(thm)],[270, 269])).
% 0.55/0.86 tff(272,plain,
% 0.55/0.86 ((~p101(X!0)) | (~p401(X!0))),
% 0.55/0.86 inference(unit_resolution,[status(thm)],[271, 13, 268])).
% 0.55/0.86 tff(273,plain,
% 0.55/0.86 (~p401(X!0)),
% 0.55/0.86 inference(unit_resolution,[status(thm)],[272, 266])).
% 0.55/0.86 tff(274,plain,
% 0.55/0.86 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p303(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(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] : ((~p302(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] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(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] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(X)) | (~r1(X!0, 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)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, 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p204(tptp_fun_Y_8(X)))) | (~p604(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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))) | ![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p501(X)))),
% 0.55/0.86 inference(tautology,[status(thm)],[])).
% 0.55/0.86 tff(275,plain,
% 0.55/0.86 (![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p501(X)))),
% 0.55/0.86 inference(unit_resolution,[status(thm)],[274, 48])).
% 0.55/0.86 tff(276,plain,
% 0.55/0.86 (((~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p501(X)))) | ((~r1(X!0, X!0)) | (~p501(X!0)) | (~p101(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p501(X)))) | (~r1(X!0, X!0)) | (~p501(X!0)) | (~p101(X!0)))),
% 0.55/0.86 inference(rewrite,[status(thm)],[])).
% 0.55/0.86 tff(277,plain,
% 0.55/0.86 (((~r1(X!0, X!0)) | (~p101(X!0)) | (~p501(X!0))) <=> ((~r1(X!0, X!0)) | (~p501(X!0)) | (~p101(X!0)))),
% 0.55/0.86 inference(rewrite,[status(thm)],[])).
% 0.55/0.86 tff(278,plain,
% 0.55/0.86 (((~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p501(X)))) | ((~r1(X!0, X!0)) | (~p101(X!0)) | (~p501(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p501(X)))) | ((~r1(X!0, X!0)) | (~p501(X!0)) | (~p101(X!0))))),
% 0.55/0.86 inference(monotonicity,[status(thm)],[277])).
% 0.55/0.86 tff(279,plain,
% 0.55/0.86 (((~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p501(X)))) | ((~r1(X!0, X!0)) | (~p101(X!0)) | (~p501(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p501(X)))) | (~r1(X!0, X!0)) | (~p501(X!0)) | (~p101(X!0)))),
% 0.55/0.86 inference(transitivity,[status(thm)],[278, 276])).
% 0.55/0.86 tff(280,plain,
% 0.55/0.86 ((~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p501(X)))) | ((~r1(X!0, X!0)) | (~p101(X!0)) | (~p501(X!0)))),
% 0.55/0.86 inference(quant_inst,[status(thm)],[])).
% 0.55/0.86 tff(281,plain,
% 0.55/0.86 ((~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p501(X)))) | (~r1(X!0, X!0)) | (~p501(X!0)) | (~p101(X!0))),
% 0.55/0.86 inference(modus_ponens,[status(thm)],[280, 279])).
% 0.55/0.86 tff(282,plain,
% 0.55/0.86 ((~p501(X!0)) | (~p101(X!0))),
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% 0.55/0.86 tff(283,plain,
% 0.55/0.86 (~p501(X!0)),
% 0.55/0.86 inference(unit_resolution,[status(thm)],[282, 266])).
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p204(tptp_fun_Y_8(X)))) | (~p604(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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))) | ![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))),
% 0.55/0.87 inference(tautology,[status(thm)],[])).
% 0.55/0.87 tff(285,plain,
% 0.55/0.87 (![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))),
% 0.55/0.87 inference(unit_resolution,[status(thm)],[284, 48])).
% 0.55/0.87 tff(286,plain,
% 0.55/0.87 (((~![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)) | (~p601(X!0)) | (~p101(X!0)))),
% 0.55/0.87 inference(rewrite,[status(thm)],[])).
% 0.55/0.87 tff(287,plain,
% 0.55/0.87 ((~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | ((~r1(X!0, X!0)) | (~p601(X!0)) | (~p101(X!0)))),
% 0.55/0.87 inference(quant_inst,[status(thm)],[])).
% 0.55/0.87 tff(288,plain,
% 0.55/0.87 ((~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~r1(X!0, X!0)) | (~p601(X!0)) | (~p101(X!0))),
% 0.55/0.87 inference(modus_ponens,[status(thm)],[287, 286])).
% 0.55/0.87 tff(289,plain,
% 0.55/0.87 ((~p601(X!0)) | (~p101(X!0))),
% 0.55/0.87 inference(unit_resolution,[status(thm)],[288, 13, 285])).
% 0.55/0.87 tff(290,plain,
% 0.55/0.87 (~p601(X!0)),
% 0.55/0.87 inference(unit_resolution,[status(thm)],[289, 266])).
% 0.55/0.87 tff(291,plain,
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p204(tptp_fun_Y_8(X)))) | (~p604(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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))) | ![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p301(X)))),
% 0.55/0.87 inference(tautology,[status(thm)],[])).
% 0.55/0.87 tff(292,plain,
% 0.55/0.87 (![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p301(X)))),
% 0.55/0.87 inference(unit_resolution,[status(thm)],[291, 48])).
% 0.55/0.87 tff(293,plain,
% 0.55/0.87 (((~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p301(X)))) | ((~r1(X!0, X!0)) | (~p101(X!0)) | (~p301(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p301(X)))) | (~r1(X!0, X!0)) | (~p101(X!0)) | (~p301(X!0)))),
% 0.55/0.87 inference(rewrite,[status(thm)],[])).
% 0.55/0.87 tff(294,plain,
% 0.55/0.87 ((~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p301(X)))) | ((~r1(X!0, X!0)) | (~p101(X!0)) | (~p301(X!0)))),
% 0.55/0.87 inference(quant_inst,[status(thm)],[])).
% 0.55/0.87 tff(295,plain,
% 0.55/0.87 ((~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p301(X)))) | (~r1(X!0, X!0)) | (~p101(X!0)) | (~p301(X!0))),
% 0.55/0.87 inference(modus_ponens,[status(thm)],[294, 293])).
% 0.55/0.87 tff(296,plain,
% 0.55/0.87 ((~p101(X!0)) | (~p301(X!0))),
% 0.55/0.87 inference(unit_resolution,[status(thm)],[295, 13, 292])).
% 0.55/0.87 tff(297,plain,
% 0.55/0.87 (~p301(X!0)),
% 0.55/0.87 inference(unit_resolution,[status(thm)],[296, 266])).
% 0.55/0.87 tff(298,plain,
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p204(tptp_fun_Y_8(X)))) | (~p604(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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))) | ![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p201(X)))),
% 0.55/0.87 inference(tautology,[status(thm)],[])).
% 0.55/0.87 tff(299,plain,
% 0.55/0.87 (![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p201(X)))),
% 0.55/0.87 inference(unit_resolution,[status(thm)],[298, 48])).
% 0.55/0.87 tff(300,plain,
% 0.55/0.87 (((~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p201(X)))) | ((~r1(X!0, X!0)) | (~p201(X!0)) | (~p101(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p201(X)))) | (~r1(X!0, X!0)) | (~p201(X!0)) | (~p101(X!0)))),
% 0.55/0.87 inference(rewrite,[status(thm)],[])).
% 0.55/0.87 tff(301,plain,
% 0.55/0.87 (((~r1(X!0, X!0)) | (~p101(X!0)) | (~p201(X!0))) <=> ((~r1(X!0, X!0)) | (~p201(X!0)) | (~p101(X!0)))),
% 0.55/0.87 inference(rewrite,[status(thm)],[])).
% 0.55/0.87 tff(302,plain,
% 0.55/0.87 (((~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p201(X)))) | ((~r1(X!0, X!0)) | (~p101(X!0)) | (~p201(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p201(X)))) | ((~r1(X!0, X!0)) | (~p201(X!0)) | (~p101(X!0))))),
% 0.55/0.87 inference(monotonicity,[status(thm)],[301])).
% 0.55/0.87 tff(303,plain,
% 0.55/0.87 (((~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p201(X)))) | ((~r1(X!0, X!0)) | (~p101(X!0)) | (~p201(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p201(X)))) | (~r1(X!0, X!0)) | (~p201(X!0)) | (~p101(X!0)))),
% 0.55/0.87 inference(transitivity,[status(thm)],[302, 300])).
% 0.55/0.87 tff(304,plain,
% 0.55/0.87 ((~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p201(X)))) | ((~r1(X!0, X!0)) | (~p101(X!0)) | (~p201(X!0)))),
% 0.55/0.87 inference(quant_inst,[status(thm)],[])).
% 0.55/0.87 tff(305,plain,
% 0.55/0.87 ((~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p201(X)))) | (~r1(X!0, X!0)) | (~p201(X!0)) | (~p101(X!0))),
% 0.55/0.87 inference(modus_ponens,[status(thm)],[304, 303])).
% 0.55/0.87 tff(306,plain,
% 0.55/0.87 ((~p201(X!0)) | (~p101(X!0))),
% 0.55/0.87 inference(unit_resolution,[status(thm)],[305, 13, 299])).
% 0.55/0.87 tff(307,plain,
% 0.55/0.87 (~p201(X!0)),
% 0.55/0.87 inference(unit_resolution,[status(thm)],[306, 266])).
% 0.55/0.87 tff(308,assumption,(~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))), introduced(assumption)).
% 0.55/0.87 tff(309,assumption,(p202(X!0)), introduced(assumption)).
% 0.55/0.87 tff(310,plain,
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% 0.55/0.87 inference(tautology,[status(thm)],[])).
% 0.55/0.87 tff(311,plain,
% 0.55/0.87 (![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))),
% 0.55/0.87 inference(unit_resolution,[status(thm)],[310, 48])).
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% 0.55/0.87 inference(rewrite,[status(thm)],[])).
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% 0.55/0.87 ((~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | ((~p202(X!0)) | (~p402(X!0)) | (~r1(X!0, X!0)))),
% 0.55/0.87 inference(quant_inst,[status(thm)],[])).
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% 0.55/0.87 ((~![X: $i] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~p202(X!0)) | (~p402(X!0)) | (~r1(X!0, X!0))),
% 0.55/0.87 inference(modus_ponens,[status(thm)],[313, 312])).
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% 0.55/0.87 tff(316,plain,
% 0.55/0.87 (~p402(X!0)),
% 0.55/0.87 inference(unit_resolution,[status(thm)],[315, 309])).
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(~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(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)) | (~((~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)))) | (~p604(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)) | (~((~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_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)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(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_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(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)) | (~((~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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))) | ![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))),
% 0.55/0.87 inference(tautology,[status(thm)],[])).
% 0.55/0.87 tff(318,plain,
% 0.55/0.87 (![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))),
% 0.55/0.87 inference(unit_resolution,[status(thm)],[317, 48])).
% 0.55/0.87 tff(319,plain,
% 0.55/0.87 (((~![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)))),
% 0.55/0.87 inference(rewrite,[status(thm)],[])).
% 0.55/0.87 tff(320,plain,
% 0.55/0.87 ((~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | ((~p202(X!0)) | (~p602(X!0)) | (~r1(X!0, X!0)))),
% 0.55/0.87 inference(quant_inst,[status(thm)],[])).
% 0.55/0.87 tff(321,plain,
% 0.55/0.87 ((~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~p202(X!0)) | (~p602(X!0)) | (~r1(X!0, X!0))),
% 0.55/0.87 inference(modus_ponens,[status(thm)],[320, 319])).
% 0.55/0.87 tff(322,plain,
% 0.55/0.87 ((~p202(X!0)) | (~p602(X!0))),
% 0.55/0.87 inference(unit_resolution,[status(thm)],[321, 13, 318])).
% 0.55/0.87 tff(323,plain,
% 0.55/0.87 (~p602(X!0)),
% 0.55/0.87 inference(unit_resolution,[status(thm)],[322, 309])).
% 0.55/0.87 tff(324,plain,
% 0.55/0.87 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p303(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(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] : ((~p302(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] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, 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tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(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)) | (~p303(X)) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(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)) | (~((~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)))) | (~p604(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)) | (~((~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_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)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(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_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(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)) | (~((~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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))) | ![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))),
% 0.55/0.88 inference(tautology,[status(thm)],[])).
% 0.55/0.88 tff(325,plain,
% 0.55/0.88 (![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))),
% 0.55/0.88 inference(unit_resolution,[status(thm)],[324, 48])).
% 0.55/0.88 tff(326,plain,
% 0.55/0.88 (((~![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)))),
% 0.55/0.88 inference(rewrite,[status(thm)],[])).
% 0.55/0.88 tff(327,plain,
% 0.55/0.88 ((~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | ((~p202(X!0)) | (~p502(X!0)) | (~r1(X!0, X!0)))),
% 0.55/0.88 inference(quant_inst,[status(thm)],[])).
% 0.55/0.88 tff(328,plain,
% 0.55/0.88 ((~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~p202(X!0)) | (~p502(X!0)) | (~r1(X!0, X!0))),
% 0.55/0.88 inference(modus_ponens,[status(thm)],[327, 326])).
% 0.55/0.88 tff(329,plain,
% 0.55/0.88 ((~p202(X!0)) | (~p502(X!0))),
% 0.55/0.88 inference(unit_resolution,[status(thm)],[328, 13, 325])).
% 0.55/0.88 tff(330,plain,
% 0.55/0.88 (~p502(X!0)),
% 0.55/0.88 inference(unit_resolution,[status(thm)],[329, 309])).
% 0.55/0.88 tff(331,plain,
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p204(tptp_fun_Y_8(X)))) | (~p604(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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))) | ![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))),
% 0.55/0.88 inference(tautology,[status(thm)],[])).
% 0.55/0.88 tff(332,plain,
% 0.55/0.88 (![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))),
% 0.55/0.88 inference(unit_resolution,[status(thm)],[331, 48])).
% 0.55/0.88 tff(333,plain,
% 0.55/0.88 (((~![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)))),
% 0.55/0.88 inference(rewrite,[status(thm)],[])).
% 0.55/0.88 tff(334,plain,
% 0.55/0.88 ((~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))) | ((~p202(X!0)) | (~p302(X!0)) | (~r1(X!0, X!0)))),
% 0.55/0.88 inference(quant_inst,[status(thm)],[])).
% 0.55/0.88 tff(335,plain,
% 0.55/0.88 ((~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, X)))) | (~p202(X!0)) | (~p302(X!0)) | (~r1(X!0, X!0))),
% 0.55/0.88 inference(modus_ponens,[status(thm)],[334, 333])).
% 0.55/0.88 tff(336,plain,
% 0.55/0.88 ((~p202(X!0)) | (~p302(X!0))),
% 0.55/0.88 inference(unit_resolution,[status(thm)],[335, 13, 332])).
% 0.55/0.88 tff(337,plain,
% 0.55/0.88 (~p302(X!0)),
% 0.55/0.88 inference(unit_resolution,[status(thm)],[336, 309])).
% 0.55/0.88 tff(338,assumption,(~p602(X!0)), introduced(assumption)).
% 0.55/0.88 tff(339,assumption,(~p402(X!0)), introduced(assumption)).
% 0.55/0.88 tff(340,assumption,(p504(X!0)), introduced(assumption)).
% 0.55/0.88 tff(341,plain,
% 0.55/0.88 (~p604(X!0)),
% 0.55/0.88 inference(unit_resolution,[status(thm)],[130, 340])).
% 0.55/0.88 tff(342,plain,
% 0.55/0.88 (p605(X!0) | p601(X!0) | p604(X!0) | p603(X!0) | p602(X!0)),
% 0.55/0.88 inference(and_elim,[status(thm)],[37])).
% 0.55/0.88 tff(343,plain,
% 0.55/0.88 (p603(X!0)),
% 0.55/0.88 inference(unit_resolution,[status(thm)],[342, 341, 174, 116, 338])).
% 0.55/0.88 tff(344,plain,
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% 0.55/0.88 inference(tautology,[status(thm)],[])).
% 0.55/0.88 tff(345,plain,
% 0.55/0.88 (![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))),
% 0.55/0.88 inference(unit_resolution,[status(thm)],[344, 48])).
% 0.55/0.88 tff(346,plain,
% 0.55/0.88 (((~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | ((~p404(X!0)) | (~p504(X!0)) | (~r1(X!0, X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~p404(X!0)) | (~p504(X!0)) | (~r1(X!0, X!0)))),
% 0.55/0.88 inference(rewrite,[status(thm)],[])).
% 0.55/0.88 tff(347,plain,
% 0.55/0.88 (((~r1(X!0, X!0)) | (~p404(X!0)) | (~p504(X!0))) <=> ((~p404(X!0)) | (~p504(X!0)) | (~r1(X!0, X!0)))),
% 0.55/0.88 inference(rewrite,[status(thm)],[])).
% 0.55/0.88 tff(348,plain,
% 0.55/0.88 (((~![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)))) | ((~p404(X!0)) | (~p504(X!0)) | (~r1(X!0, X!0))))),
% 0.55/0.88 inference(monotonicity,[status(thm)],[347])).
% 0.55/0.88 tff(349,plain,
% 0.55/0.88 (((~![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)))) | (~p404(X!0)) | (~p504(X!0)) | (~r1(X!0, X!0)))),
% 0.55/0.88 inference(transitivity,[status(thm)],[348, 346])).
% 0.55/0.88 tff(350,plain,
% 0.55/0.88 ((~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | ((~r1(X!0, X!0)) | (~p404(X!0)) | (~p504(X!0)))),
% 0.55/0.88 inference(quant_inst,[status(thm)],[])).
% 0.55/0.88 tff(351,plain,
% 0.55/0.88 ((~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~p404(X!0)) | (~p504(X!0)) | (~r1(X!0, X!0))),
% 0.55/0.88 inference(modus_ponens,[status(thm)],[350, 349])).
% 0.55/0.88 tff(352,plain,
% 0.55/0.88 ((~p404(X!0)) | (~p504(X!0))),
% 0.55/0.88 inference(unit_resolution,[status(thm)],[351, 13, 345])).
% 0.55/0.88 tff(353,plain,
% 0.55/0.88 (~p404(X!0)),
% 0.55/0.88 inference(unit_resolution,[status(thm)],[352, 340])).
% 0.55/0.88 tff(354,plain,
% 0.55/0.88 ((p404(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p402(X!0) | p403(X!0) | p401(X!0)) <=> (p404(X!0) | p402(X!0) | p403(X!0) | p401(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))))),
% 0.55/0.88 inference(rewrite,[status(thm)],[])).
% 0.55/0.88 tff(355,plain,
% 0.55/0.88 ((p404(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p402(X!0) | p403(X!0) | p401(X!0)) <=> (p404(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p402(X!0) | p403(X!0) | p401(X!0))),
% 0.55/0.88 inference(rewrite,[status(thm)],[])).
% 0.55/0.88 tff(356,plain,
% 0.55/0.88 (p404(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p402(X!0) | p403(X!0) | p401(X!0)),
% 0.55/0.88 inference(and_elim,[status(thm)],[37])).
% 0.55/0.88 tff(357,plain,
% 0.55/0.88 (p404(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p402(X!0) | p403(X!0) | p401(X!0)),
% 0.55/0.88 inference(modus_ponens,[status(thm)],[356, 355])).
% 0.55/0.88 tff(358,plain,
% 0.55/0.88 (p404(X!0) | p402(X!0) | p403(X!0) | p401(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.55/0.88 inference(modus_ponens,[status(thm)],[357, 354])).
% 0.55/0.88 tff(359,plain,
% 0.55/0.88 (p403(X!0)),
% 0.55/0.88 inference(unit_resolution,[status(thm)],[358, 353, 339, 264, 263])).
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% 0.55/0.88 inference(tautology,[status(thm)],[])).
% 0.55/0.88 tff(361,plain,
% 0.55/0.88 (![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))),
% 0.55/0.88 inference(unit_resolution,[status(thm)],[360, 48])).
% 0.55/0.88 tff(362,plain,
% 0.55/0.88 (((~![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)))),
% 0.55/0.88 inference(rewrite,[status(thm)],[])).
% 0.55/0.88 tff(363,plain,
% 0.55/0.88 ((~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | ((~r1(X!0, X!0)) | (~p403(X!0)) | (~p603(X!0)))),
% 0.55/0.88 inference(quant_inst,[status(thm)],[])).
% 0.55/0.88 tff(364,plain,
% 0.55/0.88 ((~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(X)))) | (~r1(X!0, X!0)) | (~p403(X!0)) | (~p603(X!0))),
% 0.55/0.88 inference(modus_ponens,[status(thm)],[363, 362])).
% 0.55/0.88 tff(365,plain,
% 0.55/0.88 ((~p403(X!0)) | (~p603(X!0))),
% 0.55/0.88 inference(unit_resolution,[status(thm)],[364, 13, 361])).
% 0.55/0.88 tff(366,plain,
% 0.55/0.88 ($false),
% 0.55/0.88 inference(unit_resolution,[status(thm)],[365, 359, 343])).
% 0.55/0.88 tff(367,plain,((~p504(X!0)) | p402(X!0) | p401(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p605(X!0) | p601(X!0) | p602(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.55/0.88 tff(368,plain,
% 0.55/0.88 (~p504(X!0)),
% 0.55/0.88 inference(unit_resolution,[status(thm)],[367, 263, 264, 339, 174, 116, 338])).
% 0.55/0.88 tff(369,assumption,(p303(X!0)), introduced(assumption)).
% 0.55/0.88 tff(370,plain,
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p204(tptp_fun_Y_8(X)))) | (~p604(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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))) | ![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p503(X)))),
% 0.55/0.89 inference(tautology,[status(thm)],[])).
% 0.55/0.89 tff(371,plain,
% 0.55/0.89 (![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p503(X)))),
% 0.55/0.89 inference(unit_resolution,[status(thm)],[370, 48])).
% 0.55/0.89 tff(372,plain,
% 0.55/0.89 (((~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p503(X)))) | ((~r1(X!0, X!0)) | (~p503(X!0)) | (~p303(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p503(X)))) | (~r1(X!0, X!0)) | (~p503(X!0)) | (~p303(X!0)))),
% 0.55/0.89 inference(rewrite,[status(thm)],[])).
% 0.55/0.89 tff(373,plain,
% 0.55/0.89 (((~r1(X!0, X!0)) | (~p303(X!0)) | (~p503(X!0))) <=> ((~r1(X!0, X!0)) | (~p503(X!0)) | (~p303(X!0)))),
% 0.55/0.89 inference(rewrite,[status(thm)],[])).
% 0.55/0.89 tff(374,plain,
% 0.55/0.89 (((~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p503(X)))) | ((~r1(X!0, X!0)) | (~p303(X!0)) | (~p503(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p503(X)))) | ((~r1(X!0, X!0)) | (~p503(X!0)) | (~p303(X!0))))),
% 0.55/0.89 inference(monotonicity,[status(thm)],[373])).
% 0.55/0.89 tff(375,plain,
% 0.55/0.89 (((~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p503(X)))) | ((~r1(X!0, X!0)) | (~p303(X!0)) | (~p503(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p503(X)))) | (~r1(X!0, X!0)) | (~p503(X!0)) | (~p303(X!0)))),
% 0.55/0.89 inference(transitivity,[status(thm)],[374, 372])).
% 0.55/0.89 tff(376,plain,
% 0.55/0.89 ((~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p503(X)))) | ((~r1(X!0, X!0)) | (~p303(X!0)) | (~p503(X!0)))),
% 0.55/0.89 inference(quant_inst,[status(thm)],[])).
% 0.55/0.89 tff(377,plain,
% 0.55/0.89 ((~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p503(X)))) | (~r1(X!0, X!0)) | (~p503(X!0)) | (~p303(X!0))),
% 0.55/0.89 inference(modus_ponens,[status(thm)],[376, 375])).
% 0.55/0.89 tff(378,plain,
% 0.55/0.89 ((~p503(X!0)) | (~p303(X!0))),
% 0.55/0.89 inference(unit_resolution,[status(thm)],[377, 13, 371])).
% 0.55/0.89 tff(379,plain,
% 0.55/0.89 (~p503(X!0)),
% 0.55/0.89 inference(unit_resolution,[status(thm)],[378, 369])).
% 0.55/0.89 tff(380,plain,
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p204(tptp_fun_Y_8(X)))) | (~p604(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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))) | ![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p603(X)))),
% 0.55/0.89 inference(tautology,[status(thm)],[])).
% 0.55/0.89 tff(381,plain,
% 0.55/0.89 (![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p603(X)))),
% 0.55/0.89 inference(unit_resolution,[status(thm)],[380, 48])).
% 0.55/0.89 tff(382,plain,
% 0.55/0.89 (((~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p603(X)))) | ((~r1(X!0, X!0)) | (~p603(X!0)) | (~p303(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p603(X)))) | (~r1(X!0, X!0)) | (~p603(X!0)) | (~p303(X!0)))),
% 0.55/0.89 inference(rewrite,[status(thm)],[])).
% 0.55/0.89 tff(383,plain,
% 0.55/0.89 (((~r1(X!0, X!0)) | (~p303(X!0)) | (~p603(X!0))) <=> ((~r1(X!0, X!0)) | (~p603(X!0)) | (~p303(X!0)))),
% 0.55/0.89 inference(rewrite,[status(thm)],[])).
% 0.55/0.89 tff(384,plain,
% 0.55/0.89 (((~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p603(X)))) | ((~r1(X!0, X!0)) | (~p303(X!0)) | (~p603(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p603(X)))) | ((~r1(X!0, X!0)) | (~p603(X!0)) | (~p303(X!0))))),
% 0.55/0.89 inference(monotonicity,[status(thm)],[383])).
% 0.55/0.89 tff(385,plain,
% 0.55/0.89 (((~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p603(X)))) | ((~r1(X!0, X!0)) | (~p303(X!0)) | (~p603(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p603(X)))) | (~r1(X!0, X!0)) | (~p603(X!0)) | (~p303(X!0)))),
% 0.55/0.89 inference(transitivity,[status(thm)],[384, 382])).
% 0.55/0.89 tff(386,plain,
% 0.55/0.89 ((~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p603(X)))) | ((~r1(X!0, X!0)) | (~p303(X!0)) | (~p603(X!0)))),
% 0.55/0.89 inference(quant_inst,[status(thm)],[])).
% 0.55/0.89 tff(387,plain,
% 0.55/0.89 ((~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p603(X)))) | (~r1(X!0, X!0)) | (~p603(X!0)) | (~p303(X!0))),
% 0.55/0.89 inference(modus_ponens,[status(thm)],[386, 385])).
% 0.55/0.89 tff(388,plain,
% 0.55/0.89 ((~p603(X!0)) | (~p303(X!0))),
% 0.55/0.89 inference(unit_resolution,[status(thm)],[387, 13, 381])).
% 0.55/0.89 tff(389,plain,
% 0.55/0.89 (~p603(X!0)),
% 0.55/0.89 inference(unit_resolution,[status(thm)],[388, 369])).
% 0.55/0.89 tff(390,plain,
% 0.55/0.89 (p604(X!0)),
% 0.55/0.89 inference(unit_resolution,[status(thm)],[342, 389, 174, 116, 338])).
% 0.55/0.89 tff(391,plain,
% 0.55/0.89 (~p504(X!0)),
% 0.55/0.89 inference(unit_resolution,[status(thm)],[130, 390])).
% 0.55/0.89 tff(392,plain,
% 0.55/0.89 (p505(X!0)),
% 0.55/0.89 inference(unit_resolution,[status(thm)],[132, 391, 1, 118, 379])).
% 0.55/0.89 tff(393,plain,
% 0.55/0.89 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p303(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(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] : ((~p302(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] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(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] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(X)) | (~r1(X!0, 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)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(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))))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p501(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)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, 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(X!0, X)) | (~p101(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(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)) | (~p303(X)) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(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)) | (~((~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)))) | (~p604(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)) | (~((~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_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)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(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_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(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)) | (~((~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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))) | ![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))),
% 0.55/0.89 inference(tautology,[status(thm)],[])).
% 0.55/0.89 tff(394,plain,
% 0.55/0.89 (![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))),
% 0.55/0.89 inference(unit_resolution,[status(thm)],[393, 48])).
% 0.55/0.89 tff(395,plain,
% 0.55/0.89 (((~![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)))),
% 0.55/0.89 inference(rewrite,[status(thm)],[])).
% 0.55/0.89 tff(396,plain,
% 0.55/0.89 (((~(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)))),
% 0.55/0.89 inference(rewrite,[status(thm)],[])).
% 0.55/0.89 tff(397,plain,
% 0.55/0.89 (((~![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))))),
% 0.55/0.89 inference(monotonicity,[status(thm)],[396])).
% 0.55/0.89 tff(398,plain,
% 0.55/0.89 (((~![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)))),
% 0.55/0.89 inference(transitivity,[status(thm)],[397, 395])).
% 0.55/0.89 tff(399,plain,
% 0.55/0.89 ((~![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)))),
% 0.55/0.89 inference(quant_inst,[status(thm)],[])).
% 0.55/0.89 tff(400,plain,
% 0.55/0.89 ((~![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))),
% 0.55/0.89 inference(modus_ponens,[status(thm)],[399, 398])).
% 0.55/0.89 tff(401,plain,
% 0.55/0.89 ((~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))) | (~p505(X!0))),
% 0.55/0.89 inference(unit_resolution,[status(thm)],[400, 13, 394])).
% 0.55/0.89 tff(402,plain,
% 0.55/0.89 (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))),
% 0.55/0.89 inference(unit_resolution,[status(thm)],[401, 392])).
% 0.55/0.89 tff(403,plain,
% 0.55/0.89 (r1(X!0, tptp_fun_Y_1(X!0))),
% 0.55/0.89 inference(unit_resolution,[status(thm)],[216, 402])).
% 0.55/0.89 tff(404,plain,
% 0.55/0.89 (~p405(tptp_fun_Y_1(X!0))),
% 0.55/0.89 inference(unit_resolution,[status(thm)],[218, 402])).
% 0.55/0.89 tff(405,plain,
% 0.55/0.89 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p303(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(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] : ((~p302(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] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, 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p204(tptp_fun_Y_8(X)))) | (~p604(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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))) | ![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p403(X)))),
% 0.55/0.89 inference(tautology,[status(thm)],[])).
% 0.55/0.89 tff(406,plain,
% 0.55/0.89 (![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p403(X)))),
% 0.55/0.89 inference(unit_resolution,[status(thm)],[405, 48])).
% 0.55/0.89 tff(407,plain,
% 0.55/0.89 (((~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p403(X)))) | ((~r1(X!0, X!0)) | (~p403(X!0)) | (~p303(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p403(X)))) | (~r1(X!0, X!0)) | (~p403(X!0)) | (~p303(X!0)))),
% 0.55/0.89 inference(rewrite,[status(thm)],[])).
% 0.55/0.89 tff(408,plain,
% 0.55/0.89 (((~r1(X!0, X!0)) | (~p303(X!0)) | (~p403(X!0))) <=> ((~r1(X!0, X!0)) | (~p403(X!0)) | (~p303(X!0)))),
% 0.55/0.89 inference(rewrite,[status(thm)],[])).
% 0.55/0.89 tff(409,plain,
% 0.55/0.89 (((~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p403(X)))) | ((~r1(X!0, X!0)) | (~p303(X!0)) | (~p403(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p403(X)))) | ((~r1(X!0, X!0)) | (~p403(X!0)) | (~p303(X!0))))),
% 0.55/0.89 inference(monotonicity,[status(thm)],[408])).
% 0.55/0.89 tff(410,plain,
% 0.55/0.89 (((~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p403(X)))) | ((~r1(X!0, X!0)) | (~p303(X!0)) | (~p403(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p403(X)))) | (~r1(X!0, X!0)) | (~p403(X!0)) | (~p303(X!0)))),
% 0.55/0.89 inference(transitivity,[status(thm)],[409, 407])).
% 0.55/0.89 tff(411,plain,
% 0.55/0.89 ((~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p403(X)))) | ((~r1(X!0, X!0)) | (~p303(X!0)) | (~p403(X!0)))),
% 0.55/0.89 inference(quant_inst,[status(thm)],[])).
% 0.55/0.89 tff(412,plain,
% 0.55/0.89 ((~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p403(X)))) | (~r1(X!0, X!0)) | (~p403(X!0)) | (~p303(X!0))),
% 0.55/0.89 inference(modus_ponens,[status(thm)],[411, 410])).
% 0.55/0.89 tff(413,plain,
% 0.55/0.89 ((~p403(X!0)) | (~p303(X!0))),
% 0.55/0.89 inference(unit_resolution,[status(thm)],[412, 13, 406])).
% 0.55/0.89 tff(414,plain,
% 0.55/0.89 (~p403(X!0)),
% 0.55/0.89 inference(unit_resolution,[status(thm)],[413, 369])).
% 0.55/0.89 tff(415,plain,
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p204(tptp_fun_Y_8(X)))) | (~p604(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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))) | ![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))),
% 0.55/0.89 inference(tautology,[status(thm)],[])).
% 0.55/0.89 tff(416,plain,
% 0.55/0.89 (![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))),
% 0.55/0.89 inference(unit_resolution,[status(thm)],[415, 48])).
% 0.55/0.89 tff(417,plain,
% 0.55/0.89 (((~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | ((~p404(X!0)) | (~p604(X!0)) | (~r1(X!0, X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~p404(X!0)) | (~p604(X!0)) | (~r1(X!0, X!0)))),
% 0.55/0.89 inference(rewrite,[status(thm)],[])).
% 0.55/0.89 tff(418,plain,
% 0.55/0.89 (((~r1(X!0, X!0)) | (~p404(X!0)) | (~p604(X!0))) <=> ((~p404(X!0)) | (~p604(X!0)) | (~r1(X!0, X!0)))),
% 0.55/0.89 inference(rewrite,[status(thm)],[])).
% 0.55/0.89 tff(419,plain,
% 0.55/0.89 (((~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | ((~r1(X!0, X!0)) | (~p404(X!0)) | (~p604(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | ((~p404(X!0)) | (~p604(X!0)) | (~r1(X!0, X!0))))),
% 0.55/0.89 inference(monotonicity,[status(thm)],[418])).
% 0.55/0.89 tff(420,plain,
% 0.55/0.89 (((~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | ((~r1(X!0, X!0)) | (~p404(X!0)) | (~p604(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~p404(X!0)) | (~p604(X!0)) | (~r1(X!0, X!0)))),
% 0.55/0.89 inference(transitivity,[status(thm)],[419, 417])).
% 0.55/0.89 tff(421,plain,
% 0.55/0.89 ((~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | ((~r1(X!0, X!0)) | (~p404(X!0)) | (~p604(X!0)))),
% 0.55/0.89 inference(quant_inst,[status(thm)],[])).
% 0.55/0.89 tff(422,plain,
% 0.55/0.89 ((~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~p404(X!0)) | (~p604(X!0)) | (~r1(X!0, X!0))),
% 0.55/0.89 inference(modus_ponens,[status(thm)],[421, 420])).
% 0.55/0.89 tff(423,plain,
% 0.55/0.89 ((~p404(X!0)) | (~p604(X!0))),
% 0.55/0.89 inference(unit_resolution,[status(thm)],[422, 13, 416])).
% 0.55/0.89 tff(424,plain,
% 0.55/0.89 (~p404(X!0)),
% 0.55/0.89 inference(unit_resolution,[status(thm)],[423, 390])).
% 0.55/0.89 tff(425,plain,
% 0.55/0.89 (![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.55/0.89 inference(unit_resolution,[status(thm)],[358, 424, 339, 264, 414])).
% 0.55/0.89 tff(426,plain,
% 0.55/0.89 ($false),
% 0.55/0.89 inference(unit_resolution,[status(thm)],[223, 425, 404, 403])).
% 0.55/0.89 tff(427,plain,((~p303(X!0)) | p402(X!0) | p401(X!0) | p501(X!0) | p502(X!0) | p605(X!0) | p601(X!0) | p602(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.55/0.89 tff(428,plain,
% 0.55/0.89 (~p303(X!0)),
% 0.55/0.89 inference(unit_resolution,[status(thm)],[427, 339, 264, 1, 118, 174, 116, 338])).
% 0.55/0.89 tff(429,assumption,(~p302(X!0)), introduced(assumption)).
% 0.55/0.89 tff(430,assumption,(~p504(X!0)), introduced(assumption)).
% 0.55/0.89 tff(431,assumption,(p404(X!0)), introduced(assumption)).
% 0.55/0.89 tff(432,plain,
% 0.55/0.89 (~p604(X!0)),
% 0.55/0.89 inference(unit_resolution,[status(thm)],[423, 431])).
% 0.55/0.89 tff(433,plain,
% 0.55/0.89 (p603(X!0)),
% 0.55/0.89 inference(unit_resolution,[status(thm)],[342, 432, 174, 116, 338])).
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% 0.55/0.90 inference(tautology,[status(thm)],[])).
% 0.55/0.90 tff(435,plain,
% 0.55/0.90 (![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))),
% 0.55/0.90 inference(unit_resolution,[status(thm)],[434, 48])).
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% 0.55/0.90 inference(rewrite,[status(thm)],[])).
% 0.65/0.90 tff(437,plain,
% 0.65/0.90 (((~r1(X!0, X!0)) | (~p503(X!0)) | (~p603(X!0))) <=> ((~r1(X!0, X!0)) | (~p603(X!0)) | (~p503(X!0)))),
% 0.65/0.90 inference(rewrite,[status(thm)],[])).
% 0.65/0.90 tff(438,plain,
% 0.65/0.90 (((~![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))))),
% 0.65/0.90 inference(monotonicity,[status(thm)],[437])).
% 0.65/0.90 tff(439,plain,
% 0.65/0.90 (((~![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)))),
% 0.65/0.90 inference(transitivity,[status(thm)],[438, 436])).
% 0.65/0.90 tff(440,plain,
% 0.65/0.90 ((~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | ((~r1(X!0, X!0)) | (~p503(X!0)) | (~p603(X!0)))),
% 0.65/0.90 inference(quant_inst,[status(thm)],[])).
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% 0.65/0.90 inference(unit_resolution,[status(thm)],[442, 433])).
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(~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(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)) | (~((~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)))) | (~p604(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)) | (~((~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_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)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(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_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(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)) | (~((~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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))) | ![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(X)) | (~r1(X!0, X)))),
% 0.65/0.90 inference(tautology,[status(thm)],[])).
% 0.65/0.90 tff(446,plain,
% 0.65/0.90 (![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(X)) | (~r1(X!0, X)))),
% 0.65/0.90 inference(unit_resolution,[status(thm)],[445, 48])).
% 0.65/0.90 tff(447,plain,
% 0.65/0.90 (((~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(X)) | (~r1(X!0, X)))) | ((~r1(X!0, X!0)) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))) | (~p505(X!0)))) <=> ((~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~r1(X!0, X!0)) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))) | (~p505(X!0)))),
% 0.65/0.90 inference(rewrite,[status(thm)],[])).
% 0.65/0.90 tff(448,plain,
% 0.65/0.90 (((~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))) | (~p505(X!0)) | (~r1(X!0, X!0))) <=> ((~r1(X!0, X!0)) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))) | (~p505(X!0)))),
% 0.65/0.90 inference(rewrite,[status(thm)],[])).
% 0.65/0.90 tff(449,plain,
% 0.65/0.90 (((~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(X)) | (~r1(X!0, X)))) | ((~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))) | (~p505(X!0)) | (~r1(X!0, X!0)))) <=> ((~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(X)) | (~r1(X!0, X)))) | ((~r1(X!0, X!0)) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))) | (~p505(X!0))))),
% 0.65/0.90 inference(monotonicity,[status(thm)],[448])).
% 0.65/0.90 tff(450,plain,
% 0.65/0.90 (((~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(X)) | (~r1(X!0, X)))) | ((~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))) | (~p505(X!0)) | (~r1(X!0, X!0)))) <=> ((~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~r1(X!0, X!0)) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))) | (~p505(X!0)))),
% 0.65/0.90 inference(transitivity,[status(thm)],[449, 447])).
% 0.65/0.90 tff(451,plain,
% 0.65/0.90 ((~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(X)) | (~r1(X!0, X)))) | ((~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))) | (~p505(X!0)) | (~r1(X!0, X!0)))),
% 0.65/0.90 inference(quant_inst,[status(thm)],[])).
% 0.65/0.90 tff(452,plain,
% 0.65/0.90 ((~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~r1(X!0, X!0)) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))) | (~p505(X!0))),
% 0.65/0.90 inference(modus_ponens,[status(thm)],[451, 450])).
% 0.65/0.90 tff(453,plain,
% 0.65/0.90 ((~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))) | (~p505(X!0))),
% 0.65/0.90 inference(unit_resolution,[status(thm)],[452, 13, 446])).
% 0.65/0.90 tff(454,plain,
% 0.65/0.90 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 0.65/0.90 inference(unit_resolution,[status(thm)],[453, 444])).
% 0.65/0.90 tff(455,plain,
% 0.65/0.90 (r1(X!0, tptp_fun_Y_2(X!0))),
% 0.65/0.90 inference(unit_resolution,[status(thm)],[248, 454])).
% 0.65/0.90 tff(456,plain,
% 0.65/0.90 (~p305(tptp_fun_Y_2(X!0))),
% 0.65/0.90 inference(unit_resolution,[status(thm)],[246, 454])).
% 0.65/0.90 tff(457,assumption,(~p303(X!0)), introduced(assumption)).
% 0.65/0.90 tff(458,plain,
% 0.65/0.90 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p303(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(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] : ((~p302(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] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(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] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(X)) | (~r1(X!0, 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)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(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))))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p501(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)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, 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(X!0, X)) | (~p101(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(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)) | (~p303(X)) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(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)) | (~((~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)))) | (~p604(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)) | (~((~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_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)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(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_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(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)) | (~((~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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))) | ![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))),
% 0.65/0.90 inference(tautology,[status(thm)],[])).
% 0.65/0.90 tff(459,plain,
% 0.65/0.90 (![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))),
% 0.65/0.90 inference(unit_resolution,[status(thm)],[458, 48])).
% 0.65/0.90 tff(460,plain,
% 0.65/0.90 (((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | ((~p404(X!0)) | (~r1(X!0, 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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~p404(X!0)) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))))),
% 0.65/0.90 inference(rewrite,[status(thm)],[])).
% 0.65/0.90 tff(461,plain,
% 0.65/0.90 (((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))) | (~p404(X!0))) <=> ((~p404(X!0)) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))))),
% 0.65/0.90 inference(rewrite,[status(thm)],[])).
% 0.65/0.90 tff(462,plain,
% 0.65/0.90 ((~((~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))))),
% 0.65/0.90 inference(rewrite,[status(thm)],[])).
% 0.65/0.90 tff(463,plain,
% 0.65/0.90 (((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))) | (~p404(X!0))) <=> ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))) | (~p404(X!0)))),
% 0.65/0.90 inference(monotonicity,[status(thm)],[462])).
% 0.65/0.90 tff(464,plain,
% 0.65/0.90 (((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))) | (~p404(X!0))) <=> ((~p404(X!0)) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))))),
% 0.65/0.90 inference(transitivity,[status(thm)],[463, 461])).
% 0.65/0.90 tff(465,plain,
% 0.65/0.90 (((~![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)))) | ((~p404(X!0)) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0))))))),
% 0.65/0.90 inference(monotonicity,[status(thm)],[464])).
% 0.65/0.90 tff(466,plain,
% 0.65/0.90 (((~![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)))) | (~p404(X!0)) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))))),
% 0.65/0.90 inference(transitivity,[status(thm)],[465, 460])).
% 0.65/0.90 tff(467,plain,
% 0.65/0.90 ((~![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)))),
% 0.65/0.90 inference(quant_inst,[status(thm)],[])).
% 0.65/0.90 tff(468,plain,
% 0.65/0.90 ((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~p404(X!0)) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0))))),
% 0.65/0.90 inference(modus_ponens,[status(thm)],[467, 466])).
% 0.65/0.90 tff(469,plain,
% 0.65/0.90 ((~p404(X!0)) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0))))),
% 0.65/0.90 inference(unit_resolution,[status(thm)],[468, 13, 459])).
% 0.65/0.90 tff(470,plain,
% 0.65/0.90 (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))),
% 0.65/0.90 inference(unit_resolution,[status(thm)],[469, 431])).
% 0.65/0.90 tff(471,plain,
% 0.65/0.90 (((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0))) | (~p304(tptp_fun_Y_10(X!0)))),
% 0.65/0.90 inference(tautology,[status(thm)],[])).
% 0.65/0.90 tff(472,plain,
% 0.65/0.90 (~p304(tptp_fun_Y_10(X!0))),
% 0.65/0.90 inference(unit_resolution,[status(thm)],[471, 470])).
% 0.65/0.90 tff(473,plain,
% 0.65/0.90 (((~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))),
% 0.65/0.90 inference(tautology,[status(thm)],[])).
% 0.65/0.90 tff(474,plain,
% 0.65/0.90 (r1(X!0, tptp_fun_Y_10(X!0))),
% 0.65/0.90 inference(unit_resolution,[status(thm)],[473, 470])).
% 0.65/0.90 tff(475,assumption,(~p304(tptp_fun_Y_10(X!0))), introduced(assumption)).
% 0.65/0.90 tff(476,assumption,(r1(X!0, tptp_fun_Y_10(X!0))), introduced(assumption)).
% 0.65/0.90 tff(477,assumption,(![Y: $i] : (p304(Y) | (~r1(X!0, Y)))), introduced(assumption)).
% 0.65/0.90 tff(478,plain,
% 0.65/0.90 (((~![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))))),
% 0.65/0.90 inference(rewrite,[status(thm)],[])).
% 0.65/0.90 tff(479,plain,
% 0.65/0.90 ((~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))) | (p304(tptp_fun_Y_10(X!0)) | (~r1(X!0, tptp_fun_Y_10(X!0))))),
% 0.65/0.90 inference(quant_inst,[status(thm)],[])).
% 0.65/0.90 tff(480,plain,
% 0.65/0.90 ((~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))) | p304(tptp_fun_Y_10(X!0)) | (~r1(X!0, tptp_fun_Y_10(X!0)))),
% 0.65/0.90 inference(modus_ponens,[status(thm)],[479, 478])).
% 0.65/0.90 tff(481,plain,
% 0.65/0.90 ($false),
% 0.65/0.90 inference(unit_resolution,[status(thm)],[480, 477, 476, 475])).
% 0.65/0.90 tff(482,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,[]))).
% 0.65/0.90 tff(483,plain,
% 0.65/0.90 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.65/0.90 inference(unit_resolution,[status(thm)],[482, 474, 472])).
% 0.65/0.90 tff(484,plain,
% 0.65/0.90 ((p301(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p302(X!0) | p303(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y)))) <=> (p301(X!0) | p302(X!0) | p303(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))))),
% 0.65/0.90 inference(rewrite,[status(thm)],[])).
% 0.65/0.90 tff(485,plain,
% 0.65/0.90 ((p301(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p302(X!0) | p303(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y)))) <=> (p301(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p302(X!0) | p303(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))))),
% 0.65/0.90 inference(rewrite,[status(thm)],[])).
% 0.65/0.90 tff(486,plain,
% 0.65/0.90 (p301(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p302(X!0) | p303(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.65/0.90 inference(and_elim,[status(thm)],[37])).
% 0.65/0.90 tff(487,plain,
% 0.65/0.90 (p301(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p302(X!0) | p303(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.65/0.90 inference(modus_ponens,[status(thm)],[486, 485])).
% 0.65/0.90 tff(488,plain,
% 0.65/0.90 (p301(X!0) | p302(X!0) | p303(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.65/0.90 inference(modus_ponens,[status(thm)],[487, 484])).
% 0.65/0.90 tff(489,plain,
% 0.65/0.90 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.65/0.90 inference(unit_resolution,[status(thm)],[488, 483, 3, 429, 457])).
% 0.65/0.90 tff(490,plain,
% 0.65/0.90 ($false),
% 0.65/0.90 inference(unit_resolution,[status(thm)],[254, 489, 456, 455])).
% 0.65/0.90 tff(491,plain,((~p404(X!0)) | p301(X!0) | p302(X!0) | p303(X!0) | p501(X!0) | p502(X!0) | p504(X!0) | p605(X!0) | p601(X!0) | p602(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.65/0.90 tff(492,plain,
% 0.65/0.90 (~p404(X!0)),
% 0.65/0.90 inference(unit_resolution,[status(thm)],[491, 368, 429, 428, 1, 118, 3, 174, 116, 338])).
% 0.65/0.90 tff(493,plain,
% 0.65/0.90 (p403(X!0)),
% 0.65/0.90 inference(unit_resolution,[status(thm)],[358, 492, 339, 264, 263])).
% 0.65/0.90 tff(494,plain,
% 0.65/0.90 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p303(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(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] : ((~p302(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] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, 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p204(tptp_fun_Y_8(X)))) | (~p604(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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))) | ![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))),
% 0.65/0.90 inference(tautology,[status(thm)],[])).
% 0.65/0.90 tff(495,plain,
% 0.65/0.90 (![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))),
% 0.65/0.90 inference(unit_resolution,[status(thm)],[494, 48])).
% 0.65/0.90 tff(496,plain,
% 0.65/0.90 (((~![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)))),
% 0.65/0.90 inference(rewrite,[status(thm)],[])).
% 0.65/0.90 tff(497,plain,
% 0.65/0.90 ((~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | ((~r1(X!0, X!0)) | (~p403(X!0)) | (~p503(X!0)))),
% 0.65/0.90 inference(quant_inst,[status(thm)],[])).
% 0.65/0.90 tff(498,plain,
% 0.65/0.90 ((~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~r1(X!0, X!0)) | (~p403(X!0)) | (~p503(X!0))),
% 0.65/0.90 inference(modus_ponens,[status(thm)],[497, 496])).
% 0.65/0.90 tff(499,plain,
% 0.65/0.90 ((~p403(X!0)) | (~p503(X!0))),
% 0.65/0.90 inference(unit_resolution,[status(thm)],[498, 13, 495])).
% 0.65/0.90 tff(500,plain,
% 0.65/0.90 (~p503(X!0)),
% 0.65/0.90 inference(unit_resolution,[status(thm)],[499, 493])).
% 0.65/0.90 tff(501,plain,
% 0.65/0.90 (p505(X!0)),
% 0.65/0.90 inference(unit_resolution,[status(thm)],[132, 500, 1, 118, 368])).
% 0.65/0.90 tff(502,plain,
% 0.65/0.90 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 0.65/0.90 inference(unit_resolution,[status(thm)],[453, 501])).
% 0.65/0.90 tff(503,plain,
% 0.65/0.90 (r1(X!0, tptp_fun_Y_2(X!0))),
% 0.65/0.91 inference(unit_resolution,[status(thm)],[248, 502])).
% 0.65/0.91 tff(504,plain,
% 0.65/0.91 (~p305(tptp_fun_Y_2(X!0))),
% 0.65/0.91 inference(unit_resolution,[status(thm)],[246, 502])).
% 0.65/0.91 tff(505,plain,
% 0.65/0.91 (~p603(X!0)),
% 0.65/0.91 inference(unit_resolution,[status(thm)],[365, 493])).
% 0.65/0.91 tff(506,plain,
% 0.65/0.91 (p604(X!0)),
% 0.65/0.91 inference(unit_resolution,[status(thm)],[342, 505, 174, 116, 338])).
% 0.65/0.91 tff(507,plain,
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p204(tptp_fun_Y_8(X)))) | (~p604(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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))) | ![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))),
% 0.65/0.91 inference(tautology,[status(thm)],[])).
% 0.65/0.91 tff(508,plain,
% 0.65/0.91 (![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))),
% 0.65/0.91 inference(unit_resolution,[status(thm)],[507, 48])).
% 0.65/0.91 tff(509,plain,
% 0.65/0.91 (((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | ((~p604(X!0)) | (~r1(X!0, 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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~p604(X!0)) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))))),
% 0.65/0.91 inference(rewrite,[status(thm)],[])).
% 0.65/0.91 tff(510,plain,
% 0.65/0.91 (((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))) | (~p604(X!0))) <=> ((~p604(X!0)) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))))),
% 0.65/0.91 inference(rewrite,[status(thm)],[])).
% 0.65/0.91 tff(511,plain,
% 0.65/0.91 (((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))) | (~p604(X!0))) <=> ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))) | (~p604(X!0)))),
% 0.65/0.91 inference(monotonicity,[status(thm)],[462])).
% 0.65/0.91 tff(512,plain,
% 0.65/0.91 (((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))) | (~p604(X!0))) <=> ((~p604(X!0)) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))))),
% 0.65/0.91 inference(transitivity,[status(thm)],[511, 510])).
% 0.65/0.91 tff(513,plain,
% 0.65/0.91 (((~![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)))) | ((~p604(X!0)) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0))))))),
% 0.65/0.91 inference(monotonicity,[status(thm)],[512])).
% 0.65/0.91 tff(514,plain,
% 0.65/0.91 (((~![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)))) | (~p604(X!0)) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))))),
% 0.65/0.91 inference(transitivity,[status(thm)],[513, 509])).
% 0.65/0.91 tff(515,plain,
% 0.65/0.91 ((~![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)))),
% 0.65/0.91 inference(quant_inst,[status(thm)],[])).
% 0.65/0.91 tff(516,plain,
% 0.65/0.91 ((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(X)))) | (~p604(X!0)) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0))))),
% 0.65/0.91 inference(modus_ponens,[status(thm)],[515, 514])).
% 0.65/0.91 tff(517,plain,
% 0.65/0.91 ((~p604(X!0)) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0))))),
% 0.65/0.91 inference(unit_resolution,[status(thm)],[516, 13, 508])).
% 0.65/0.91 tff(518,plain,
% 0.65/0.91 (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))),
% 0.65/0.91 inference(unit_resolution,[status(thm)],[517, 506])).
% 0.65/0.91 tff(519,plain,
% 0.65/0.91 (~p304(tptp_fun_Y_10(X!0))),
% 0.65/0.91 inference(unit_resolution,[status(thm)],[471, 518])).
% 0.65/0.91 tff(520,plain,
% 0.65/0.91 (r1(X!0, tptp_fun_Y_10(X!0))),
% 0.65/0.91 inference(unit_resolution,[status(thm)],[473, 518])).
% 0.65/0.91 tff(521,plain,
% 0.65/0.91 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.65/0.91 inference(unit_resolution,[status(thm)],[482, 520, 519])).
% 0.65/0.91 tff(522,plain,
% 0.65/0.91 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.65/0.91 inference(unit_resolution,[status(thm)],[488, 521, 3, 429, 428])).
% 0.65/0.91 tff(523,plain,
% 0.65/0.91 ($false),
% 0.65/0.91 inference(unit_resolution,[status(thm)],[254, 522, 504, 503])).
% 0.65/0.91 tff(524,plain,(![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p301(X!0) | p302(X!0) | p501(X!0) | p502(X!0) | p605(X!0) | p601(X!0) | p602(X!0) | p402(X!0) | p401(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.65/0.91 tff(525,plain,
% 0.65/0.91 (![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.65/0.91 inference(unit_resolution,[status(thm)],[524, 337, 3, 1, 330, 174, 116, 323, 316, 264])).
% 0.65/0.91 tff(526,plain,
% 0.65/0.91 (p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0)))),
% 0.65/0.91 inference(unit_resolution,[status(thm)],[225, 525])).
% 0.65/0.91 tff(527,plain,
% 0.65/0.91 (~p505(X!0)),
% 0.65/0.91 inference(unit_resolution,[status(thm)],[401, 526])).
% 0.65/0.91 tff(528,plain,
% 0.65/0.91 (~p303(X!0)),
% 0.65/0.91 inference(unit_resolution,[status(thm)],[427, 316, 264, 1, 330, 174, 116, 323])).
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((~r1(X!0, X)) | (~p601(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p501(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)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, 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(X!0, X)) | (~p101(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(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)) | (~p303(X)) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(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)) | (~((~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)))) | (~p604(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)) | (~((~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_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)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(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_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(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)) | (~((~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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))) | ![X: $i] : ((~(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))))) | (~r1(X!0, X)))),
% 0.65/0.91 inference(tautology,[status(thm)],[])).
% 0.65/0.91 tff(530,plain,
% 0.65/0.91 (![X: $i] : ((~(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))))) | (~r1(X!0, X)))),
% 0.65/0.91 inference(unit_resolution,[status(thm)],[529, 48])).
% 0.65/0.91 tff(531,plain,
% 0.65/0.91 (((~![X: $i] : ((~(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))))) | (~r1(X!0, X)))) | ((~r1(X!0, X!0)) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))) | (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))))) <=> ((~![X: $i] : ((~(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))))) | (~r1(X!0, X)))) | (~r1(X!0, X!0)) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))) | (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))))),
% 0.65/0.91 inference(rewrite,[status(thm)],[])).
% 0.65/0.91 tff(532,plain,
% 0.65/0.91 (((~(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))))) | (~r1(X!0, X!0))) <=> ((~r1(X!0, X!0)) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))) | (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))))),
% 0.65/0.91 inference(rewrite,[status(thm)],[])).
% 0.65/0.91 tff(533,plain,
% 0.65/0.91 (((~![X: $i] : ((~(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))))) | (~r1(X!0, X)))) | ((~(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))))) | (~r1(X!0, X!0)))) <=> ((~![X: $i] : ((~(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))))) | (~r1(X!0, X)))) | ((~r1(X!0, X!0)) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))) | (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0)))))))),
% 0.65/0.91 inference(monotonicity,[status(thm)],[532])).
% 0.65/0.91 tff(534,plain,
% 0.65/0.91 (((~![X: $i] : ((~(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))))) | (~r1(X!0, X)))) | ((~(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))))) | (~r1(X!0, X!0)))) <=> ((~![X: $i] : ((~(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))))) | (~r1(X!0, X)))) | (~r1(X!0, X!0)) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))) | (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))))),
% 0.65/0.91 inference(transitivity,[status(thm)],[533, 531])).
% 0.65/0.91 tff(535,plain,
% 0.65/0.91 ((~![X: $i] : ((~(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))))) | (~r1(X!0, X)))) | ((~(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))))) | (~r1(X!0, X!0)))),
% 0.65/0.91 inference(quant_inst,[status(thm)],[])).
% 0.65/0.91 tff(536,plain,
% 0.65/0.91 ((~![X: $i] : ((~(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))))) | (~r1(X!0, X)))) | (~r1(X!0, X!0)) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))) | (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0)))))),
% 0.65/0.91 inference(modus_ponens,[status(thm)],[535, 534])).
% 0.65/0.91 tff(537,plain,
% 0.65/0.91 ((~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))) | (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0)))))),
% 0.65/0.91 inference(unit_resolution,[status(thm)],[536, 13, 530])).
% 0.65/0.91 tff(538,plain,
% 0.65/0.91 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 0.65/0.91 inference(unit_resolution,[status(thm)],[537, 526])).
% 0.65/0.91 tff(539,plain,
% 0.65/0.91 (r1(X!0, tptp_fun_Y_2(X!0))),
% 0.65/0.91 inference(unit_resolution,[status(thm)],[248, 538])).
% 0.65/0.91 tff(540,plain,
% 0.65/0.91 (~p305(tptp_fun_Y_2(X!0))),
% 0.65/0.91 inference(unit_resolution,[status(thm)],[246, 538])).
% 0.65/0.91 tff(541,plain,
% 0.65/0.91 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.65/0.91 inference(unit_resolution,[status(thm)],[256, 540, 539])).
% 0.65/0.91 tff(542,plain,
% 0.65/0.91 (![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.65/0.91 inference(unit_resolution,[status(thm)],[488, 541, 3, 337, 528])).
% 0.65/0.91 tff(543,assumption,(~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))), introduced(assumption)).
% 0.65/0.91 tff(544,plain,
% 0.65/0.91 (r1(X!0, tptp_fun_Y_10(X!0))),
% 0.65/0.91 inference(unit_resolution,[status(thm)],[473, 543])).
% 0.65/0.91 tff(545,plain,
% 0.65/0.91 (~p304(tptp_fun_Y_10(X!0))),
% 0.65/0.91 inference(unit_resolution,[status(thm)],[471, 543])).
% 0.65/0.91 tff(546,plain,
% 0.65/0.91 ($false),
% 0.65/0.91 inference(unit_resolution,[status(thm)],[482, 545, 544, 477])).
% 0.65/0.91 tff(547,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,[]))).
% 0.65/0.91 tff(548,plain,
% 0.65/0.91 ((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0))),
% 0.65/0.91 inference(unit_resolution,[status(thm)],[547, 542])).
% 0.65/0.91 tff(549,plain,
% 0.65/0.91 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p303(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(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] : ((~p302(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] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(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] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(X)) | (~r1(X!0, 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)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(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))))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p501(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)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, 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(X!0, X)) | (~p101(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(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)) | (~p303(X)) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(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)) | (~((~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)))) | (~p604(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)) | (~((~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_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)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(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_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(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)) | (~((~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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))) | ![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))),
% 0.65/0.91 inference(tautology,[status(thm)],[])).
% 0.65/0.91 tff(550,plain,
% 0.65/0.91 (![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))),
% 0.65/0.91 inference(unit_resolution,[status(thm)],[549, 48])).
% 0.65/0.91 tff(551,plain,
% 0.65/0.91 (((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | ((~p504(X!0)) | (~r1(X!0, 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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~p504(X!0)) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))))),
% 0.65/0.91 inference(rewrite,[status(thm)],[])).
% 0.65/0.91 tff(552,plain,
% 0.65/0.91 (((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))) | (~p504(X!0))) <=> ((~p504(X!0)) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))))),
% 0.65/0.91 inference(rewrite,[status(thm)],[])).
% 0.65/0.91 tff(553,plain,
% 0.65/0.91 (((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))) | (~p504(X!0))) <=> ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))) | (~p504(X!0)))),
% 0.65/0.91 inference(monotonicity,[status(thm)],[462])).
% 0.65/0.91 tff(554,plain,
% 0.65/0.91 (((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))) | (~p504(X!0))) <=> ((~p504(X!0)) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))))),
% 0.65/0.91 inference(transitivity,[status(thm)],[553, 552])).
% 0.65/0.91 tff(555,plain,
% 0.65/0.91 (((~![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)))) | ((~p504(X!0)) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0))))))),
% 0.65/0.91 inference(monotonicity,[status(thm)],[554])).
% 0.65/0.91 tff(556,plain,
% 0.65/0.91 (((~![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)))) | (~p504(X!0)) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))))),
% 0.65/0.91 inference(transitivity,[status(thm)],[555, 551])).
% 0.65/0.91 tff(557,plain,
% 0.65/0.91 ((~![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)))),
% 0.65/0.91 inference(quant_inst,[status(thm)],[])).
% 0.65/0.91 tff(558,plain,
% 0.65/0.91 ((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p504(X)))) | (~p504(X!0)) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0))))),
% 0.65/0.91 inference(modus_ponens,[status(thm)],[557, 556])).
% 0.65/0.91 tff(559,plain,
% 0.65/0.91 ((~p504(X!0)) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0))))),
% 0.65/0.91 inference(unit_resolution,[status(thm)],[558, 13, 550])).
% 0.65/0.91 tff(560,plain,
% 0.65/0.91 (~p504(X!0)),
% 0.65/0.91 inference(unit_resolution,[status(thm)],[559, 548])).
% 0.65/0.91 tff(561,plain,
% 0.65/0.91 (p503(X!0)),
% 0.65/0.91 inference(unit_resolution,[status(thm)],[132, 560, 1, 330, 527])).
% 0.65/0.91 tff(562,plain,
% 0.65/0.91 (~p604(X!0)),
% 0.65/0.91 inference(unit_resolution,[status(thm)],[517, 548])).
% 0.65/0.91 tff(563,plain,
% 0.65/0.91 (p603(X!0)),
% 0.65/0.91 inference(unit_resolution,[status(thm)],[342, 562, 174, 116, 323])).
% 0.65/0.91 tff(564,plain,
% 0.65/0.91 ($false),
% 0.65/0.91 inference(unit_resolution,[status(thm)],[442, 563, 561])).
% 0.65/0.91 tff(565,plain,((~p202(X!0)) | p605(X!0) | p601(X!0) | p501(X!0) | p301(X!0) | p401(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.65/0.91 tff(566,plain,
% 0.65/0.91 (~p202(X!0)),
% 0.65/0.91 inference(unit_resolution,[status(thm)],[565, 116, 174, 1, 3, 264])).
% 0.65/0.91 tff(567,plain,
% 0.65/0.91 (~p404(X!0)),
% 0.65/0.91 inference(unit_resolution,[status(thm)],[423, 121])).
% 0.65/0.91 tff(568,plain,
% 0.65/0.91 (~p204(tptp_fun_Y_8(X!0))),
% 0.65/0.91 inference(unit_resolution,[status(thm)],[152, 147])).
% 0.65/0.91 tff(569,plain,
% 0.65/0.91 (r1(X!0, tptp_fun_Y_8(X!0))),
% 0.65/0.91 inference(unit_resolution,[status(thm)],[150, 147])).
% 0.65/0.91 tff(570,plain,
% 0.65/0.91 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.65/0.91 inference(unit_resolution,[status(thm)],[160, 569, 568])).
% 0.65/0.91 tff(571,assumption,(~p404(X!0)), introduced(assumption)).
% 0.65/0.91 tff(572,assumption,(~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))), introduced(assumption)).
% 0.65/0.91 tff(573,assumption,(p502(X!0)), introduced(assumption)).
% 0.65/0.91 tff(574,plain,
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% 0.65/0.92 inference(tautology,[status(thm)],[])).
% 0.65/0.92 tff(575,plain,
% 0.65/0.92 (![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))),
% 0.65/0.92 inference(unit_resolution,[status(thm)],[574, 48])).
% 0.65/0.92 tff(576,plain,
% 0.65/0.92 (((~![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)))),
% 0.65/0.92 inference(rewrite,[status(thm)],[])).
% 0.65/0.92 tff(577,plain,
% 0.65/0.92 ((~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | ((~p302(X!0)) | (~p502(X!0)) | (~r1(X!0, X!0)))),
% 0.65/0.92 inference(quant_inst,[status(thm)],[])).
% 0.65/0.92 tff(578,plain,
% 0.65/0.92 ((~![X: $i] : ((~p302(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~p302(X!0)) | (~p502(X!0)) | (~r1(X!0, X!0))),
% 0.65/0.92 inference(modus_ponens,[status(thm)],[577, 576])).
% 0.65/0.92 tff(579,plain,
% 0.65/0.92 ((~p302(X!0)) | (~p502(X!0))),
% 0.65/0.92 inference(unit_resolution,[status(thm)],[578, 13, 575])).
% 0.65/0.92 tff(580,plain,
% 0.65/0.92 (~p302(X!0)),
% 0.65/0.92 inference(unit_resolution,[status(thm)],[579, 573])).
% 0.65/0.92 tff(581,plain,
% 0.65/0.92 (p303(X!0)),
% 0.65/0.92 inference(unit_resolution,[status(thm)],[488, 580, 3, 308, 260])).
% 0.65/0.92 tff(582,plain,
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p204(tptp_fun_Y_8(X)))) | (~p604(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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))) | ![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))),
% 0.65/0.92 inference(tautology,[status(thm)],[])).
% 0.65/0.92 tff(583,plain,
% 0.65/0.92 (![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))),
% 0.65/0.92 inference(unit_resolution,[status(thm)],[582, 48])).
% 0.65/0.92 tff(584,plain,
% 0.65/0.92 (((~![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)))),
% 0.65/0.92 inference(rewrite,[status(thm)],[])).
% 0.65/0.92 tff(585,plain,
% 0.65/0.92 ((~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | ((~p402(X!0)) | (~p502(X!0)) | (~r1(X!0, X!0)))),
% 0.65/0.92 inference(quant_inst,[status(thm)],[])).
% 0.65/0.92 tff(586,plain,
% 0.65/0.92 ((~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~p402(X!0)) | (~p502(X!0)) | (~r1(X!0, X!0))),
% 0.65/0.92 inference(modus_ponens,[status(thm)],[585, 584])).
% 0.65/0.92 tff(587,plain,
% 0.65/0.92 ((~p402(X!0)) | (~p502(X!0))),
% 0.65/0.92 inference(unit_resolution,[status(thm)],[586, 13, 583])).
% 0.65/0.92 tff(588,plain,
% 0.65/0.92 (~p402(X!0)),
% 0.65/0.92 inference(unit_resolution,[status(thm)],[587, 573])).
% 0.65/0.92 tff(589,plain,
% 0.65/0.92 (p403(X!0)),
% 0.65/0.92 inference(unit_resolution,[status(thm)],[358, 588, 263, 264, 571])).
% 0.65/0.92 tff(590,plain,
% 0.65/0.92 ($false),
% 0.65/0.92 inference(unit_resolution,[status(thm)],[413, 589, 581])).
% 0.65/0.92 tff(591,plain,((~p502(X!0)) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p401(X!0) | p404(X!0) | p301(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.65/0.92 tff(592,plain,
% 0.65/0.92 (~p502(X!0)),
% 0.65/0.92 inference(unit_resolution,[status(thm)],[591, 260, 264, 571, 3, 308, 263])).
% 0.65/0.92 tff(593,assumption,(p403(X!0)), introduced(assumption)).
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p204(tptp_fun_Y_8(X)))) | (~p604(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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))) | ![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))),
% 0.65/0.92 inference(tautology,[status(thm)],[])).
% 0.65/0.92 tff(595,plain,
% 0.65/0.92 (![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p403(X)))),
% 0.65/0.92 inference(unit_resolution,[status(thm)],[594, 48])).
% 0.65/0.92 tff(596,plain,
% 0.65/0.92 (((~![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)) | (~p403(X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(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)) | (~p403(X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))))),
% 0.65/0.92 inference(rewrite,[status(thm)],[])).
% 0.65/0.92 tff(597,plain,
% 0.65/0.92 (((~((~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)) | (~p403(X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))))),
% 0.65/0.92 inference(rewrite,[status(thm)],[])).
% 0.65/0.92 tff(598,plain,
% 0.65/0.92 (((~((~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)))),
% 0.65/0.92 inference(monotonicity,[status(thm)],[53])).
% 0.65/0.92 tff(599,plain,
% 0.65/0.92 (((~((~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)) | (~p403(X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))))),
% 0.65/0.92 inference(transitivity,[status(thm)],[598, 597])).
% 0.65/0.92 tff(600,plain,
% 0.65/0.92 (((~![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)) | (~p403(X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0))))))),
% 0.65/0.92 inference(monotonicity,[status(thm)],[599])).
% 0.65/0.92 tff(601,plain,
% 0.65/0.92 (((~![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)) | (~p403(X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))))),
% 0.65/0.92 inference(transitivity,[status(thm)],[600, 596])).
% 0.65/0.92 tff(602,plain,
% 0.65/0.92 ((~![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)))),
% 0.65/0.92 inference(quant_inst,[status(thm)],[])).
% 0.65/0.92 tff(603,plain,
% 0.65/0.92 ((~![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)) | (~p403(X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0))))),
% 0.65/0.92 inference(modus_ponens,[status(thm)],[602, 601])).
% 0.65/0.92 tff(604,plain,
% 0.65/0.92 ((~p403(X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0))))),
% 0.65/0.92 inference(unit_resolution,[status(thm)],[603, 13, 595])).
% 0.65/0.92 tff(605,plain,
% 0.65/0.92 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 0.65/0.92 inference(unit_resolution,[status(thm)],[604, 593])).
% 0.65/0.92 tff(606,plain,
% 0.65/0.92 (~p203(tptp_fun_Y_6(X!0))),
% 0.65/0.92 inference(unit_resolution,[status(thm)],[66, 605])).
% 0.65/0.92 tff(607,plain,
% 0.65/0.92 (r1(X!0, tptp_fun_Y_6(X!0))),
% 0.65/0.92 inference(unit_resolution,[status(thm)],[64, 605])).
% 0.65/0.92 tff(608,plain,
% 0.65/0.92 (~p503(X!0)),
% 0.65/0.92 inference(unit_resolution,[status(thm)],[499, 593])).
% 0.65/0.92 tff(609,plain,
% 0.65/0.92 (p505(X!0)),
% 0.65/0.92 inference(unit_resolution,[status(thm)],[132, 608, 1, 430, 118])).
% 0.65/0.92 tff(610,plain,
% 0.65/0.92 (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))),
% 0.65/0.92 inference(unit_resolution,[status(thm)],[232, 609])).
% 0.65/0.92 tff(611,plain,
% 0.65/0.92 ((p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0)))) | r1(X!0, tptp_fun_Y_3(X!0))),
% 0.65/0.92 inference(tautology,[status(thm)],[])).
% 0.65/0.92 tff(612,plain,
% 0.65/0.92 (r1(X!0, tptp_fun_Y_3(X!0))),
% 0.65/0.92 inference(unit_resolution,[status(thm)],[611, 610])).
% 0.65/0.92 tff(613,plain,
% 0.65/0.92 ((p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0)))) | (~p205(tptp_fun_Y_3(X!0)))),
% 0.65/0.92 inference(tautology,[status(thm)],[])).
% 0.65/0.92 tff(614,plain,
% 0.65/0.92 (~p205(tptp_fun_Y_3(X!0))),
% 0.65/0.92 inference(unit_resolution,[status(thm)],[613, 610])).
% 0.65/0.92 tff(615,assumption,(r1(X!0, tptp_fun_Y_3(X!0))), introduced(assumption)).
% 0.65/0.92 tff(616,assumption,(~p205(tptp_fun_Y_3(X!0))), introduced(assumption)).
% 0.65/0.92 tff(617,assumption,(![Y: $i] : (p205(Y) | (~r1(X!0, Y)))), introduced(assumption)).
% 0.65/0.92 tff(618,plain,
% 0.65/0.92 (((~![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))))),
% 0.65/0.92 inference(rewrite,[status(thm)],[])).
% 0.65/0.92 tff(619,plain,
% 0.65/0.92 ((~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))) | (p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))),
% 0.65/0.92 inference(quant_inst,[status(thm)],[])).
% 0.65/0.92 tff(620,plain,
% 0.65/0.92 ((~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))) | p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0)))),
% 0.65/0.92 inference(modus_ponens,[status(thm)],[619, 618])).
% 0.65/0.92 tff(621,plain,
% 0.65/0.92 ($false),
% 0.65/0.92 inference(unit_resolution,[status(thm)],[620, 617, 616, 615])).
% 0.65/0.92 tff(622,plain,((~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))) | p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0)))), inference(lemma,lemma(discharge,[]))).
% 0.65/0.92 tff(623,plain,
% 0.65/0.92 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.65/0.92 inference(unit_resolution,[status(thm)],[622, 614, 612])).
% 0.65/0.92 tff(624,plain,
% 0.65/0.92 (![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.65/0.92 inference(unit_resolution,[status(thm)],[168, 623, 2, 117, 572])).
% 0.65/0.92 tff(625,plain,
% 0.65/0.92 ($false),
% 0.65/0.92 inference(unit_resolution,[status(thm)],[72, 624, 607, 606])).
% 0.65/0.92 tff(626,plain,((~p403(X!0)) | p201(X!0) | p202(X!0) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | p501(X!0) | p504(X!0) | p502(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.65/0.92 tff(627,plain,
% 0.65/0.92 (~p403(X!0)),
% 0.65/0.92 inference(unit_resolution,[status(thm)],[626, 592, 117, 572, 1, 430, 2])).
% 0.65/0.92 tff(628,plain,
% 0.65/0.92 (p402(X!0)),
% 0.65/0.92 inference(unit_resolution,[status(thm)],[358, 627, 263, 264, 571])).
% 0.65/0.92 tff(629,plain,
% 0.65/0.92 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p303(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(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] : ((~p302(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] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, 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p204(tptp_fun_Y_8(X)))) | (~p604(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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))) | ![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p303(X)))),
% 0.65/0.92 inference(tautology,[status(thm)],[])).
% 0.65/0.92 tff(638,plain,
% 0.65/0.92 (![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p303(X)))),
% 0.65/0.92 inference(unit_resolution,[status(thm)],[637, 48])).
% 0.65/0.92 tff(639,plain,
% 0.65/0.92 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p303(X)))) | ((~r1(X!0, X!0)) | (~p303(X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))))) <=> ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p303(X)))) | (~r1(X!0, X!0)) | (~p303(X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))))),
% 0.65/0.92 inference(rewrite,[status(thm)],[])).
% 0.65/0.92 tff(640,plain,
% 0.65/0.92 (((~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~r1(X!0, X!0)) | (~p303(X!0))) <=> ((~r1(X!0, X!0)) | (~p303(X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))))),
% 0.65/0.92 inference(rewrite,[status(thm)],[])).
% 0.65/0.92 tff(641,plain,
% 0.65/0.92 (((~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~r1(X!0, X!0)) | (~p303(X!0))) <=> ((~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~r1(X!0, X!0)) | (~p303(X!0)))),
% 0.65/0.92 inference(monotonicity,[status(thm)],[53])).
% 0.65/0.92 tff(642,plain,
% 0.65/0.92 (((~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~r1(X!0, X!0)) | (~p303(X!0))) <=> ((~r1(X!0, X!0)) | (~p303(X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))))),
% 0.65/0.92 inference(transitivity,[status(thm)],[641, 640])).
% 0.65/0.92 tff(643,plain,
% 0.65/0.92 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p303(X)))) | ((~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~r1(X!0, X!0)) | (~p303(X!0)))) <=> ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p303(X)))) | ((~r1(X!0, X!0)) | (~p303(X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0))))))),
% 0.65/0.92 inference(monotonicity,[status(thm)],[642])).
% 0.65/0.92 tff(644,plain,
% 0.65/0.92 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p303(X)))) | ((~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~r1(X!0, X!0)) | (~p303(X!0)))) <=> ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p303(X)))) | (~r1(X!0, X!0)) | (~p303(X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))))),
% 0.65/0.92 inference(transitivity,[status(thm)],[643, 639])).
% 0.65/0.92 tff(645,plain,
% 0.65/0.92 ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p303(X)))) | ((~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | (~r1(X!0, X!0)) | (~p303(X!0)))),
% 0.65/0.92 inference(quant_inst,[status(thm)],[])).
% 0.65/0.92 tff(646,plain,
% 0.65/0.92 ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p303(X)))) | (~r1(X!0, X!0)) | (~p303(X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0))))),
% 0.65/0.92 inference(modus_ponens,[status(thm)],[645, 644])).
% 0.65/0.92 tff(647,plain,
% 0.65/0.92 ((~p303(X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0))))),
% 0.65/0.92 inference(unit_resolution,[status(thm)],[646, 13, 638])).
% 0.65/0.92 tff(648,plain,
% 0.65/0.92 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 0.65/0.92 inference(unit_resolution,[status(thm)],[647, 636])).
% 0.65/0.92 tff(649,plain,
% 0.65/0.92 (~p203(tptp_fun_Y_6(X!0))),
% 0.65/0.92 inference(unit_resolution,[status(thm)],[66, 648])).
% 0.65/0.92 tff(650,plain,
% 0.65/0.92 (r1(X!0, tptp_fun_Y_6(X!0))),
% 0.65/0.92 inference(unit_resolution,[status(thm)],[64, 648])).
% 0.65/0.92 tff(651,plain,
% 0.65/0.92 (~p503(X!0)),
% 0.65/0.92 inference(unit_resolution,[status(thm)],[378, 636])).
% 0.65/0.92 tff(652,plain,
% 0.65/0.92 (p505(X!0)),
% 0.65/0.92 inference(unit_resolution,[status(thm)],[132, 651, 1, 430, 592])).
% 0.65/0.92 tff(653,plain,
% 0.65/0.92 (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))),
% 0.65/0.92 inference(unit_resolution,[status(thm)],[232, 652])).
% 0.65/0.92 tff(654,plain,
% 0.65/0.92 (r1(X!0, tptp_fun_Y_3(X!0))),
% 0.65/0.92 inference(unit_resolution,[status(thm)],[611, 653])).
% 0.65/0.92 tff(655,plain,
% 0.65/0.92 (~p205(tptp_fun_Y_3(X!0))),
% 0.65/0.92 inference(unit_resolution,[status(thm)],[613, 653])).
% 0.65/0.92 tff(656,plain,
% 0.65/0.92 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.65/0.92 inference(unit_resolution,[status(thm)],[622, 655, 654])).
% 0.65/0.92 tff(657,plain,
% 0.65/0.92 (![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.65/0.93 inference(unit_resolution,[status(thm)],[168, 656, 2, 117, 572])).
% 0.65/0.93 tff(658,plain,
% 0.65/0.93 ($false),
% 0.65/0.93 inference(unit_resolution,[status(thm)],[72, 657, 650, 649])).
% 0.65/0.93 tff(659,plain,(![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p201(X!0) | p202(X!0) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | p501(X!0) | p504(X!0) | p301(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p401(X!0) | p404(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.65/0.93 tff(660,plain,
% 0.65/0.93 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.65/0.93 inference(unit_resolution,[status(thm)],[659, 570, 117, 2, 1, 131, 3, 308, 263, 264, 567])).
% 0.65/0.93 tff(661,plain,
% 0.65/0.93 (p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0)))),
% 0.65/0.93 inference(unit_resolution,[status(thm)],[258, 660])).
% 0.65/0.93 tff(662,plain,
% 0.65/0.93 (~p505(X!0)),
% 0.65/0.93 inference(unit_resolution,[status(thm)],[453, 661])).
% 0.65/0.93 tff(663,plain,
% 0.65/0.93 (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))),
% 0.65/0.93 inference(unit_resolution,[status(thm)],[242, 661])).
% 0.65/0.93 tff(664,plain,
% 0.65/0.93 (~p205(tptp_fun_Y_3(X!0))),
% 0.65/0.93 inference(unit_resolution,[status(thm)],[613, 663])).
% 0.65/0.93 tff(665,plain,
% 0.65/0.93 (r1(X!0, tptp_fun_Y_3(X!0))),
% 0.65/0.93 inference(unit_resolution,[status(thm)],[611, 663])).
% 0.65/0.93 tff(666,plain,
% 0.65/0.93 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.65/0.93 inference(unit_resolution,[status(thm)],[622, 665, 664])).
% 0.65/0.93 tff(667,plain,
% 0.65/0.93 (![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.65/0.93 inference(unit_resolution,[status(thm)],[168, 666, 2, 117, 570])).
% 0.65/0.93 tff(668,plain,
% 0.65/0.93 ((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0))),
% 0.65/0.93 inference(unit_resolution,[status(thm)],[76, 667])).
% 0.65/0.93 tff(669,plain,
% 0.65/0.93 (~p503(X!0)),
% 0.65/0.93 inference(unit_resolution,[status(thm)],[60, 668])).
% 0.65/0.93 tff(670,plain,
% 0.65/0.93 (p502(X!0)),
% 0.65/0.93 inference(unit_resolution,[status(thm)],[132, 669, 1, 131, 662])).
% 0.65/0.93 tff(671,plain,
% 0.65/0.93 (~p403(X!0)),
% 0.65/0.93 inference(unit_resolution,[status(thm)],[604, 668])).
% 0.65/0.93 tff(672,plain,
% 0.65/0.93 (p402(X!0)),
% 0.65/0.93 inference(unit_resolution,[status(thm)],[358, 671, 263, 264, 567])).
% 0.65/0.93 tff(673,plain,
% 0.65/0.93 ($false),
% 0.65/0.93 inference(unit_resolution,[status(thm)],[587, 672, 670])).
% 0.65/0.93 tff(674,plain,((~p604(X!0)) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p401(X!0) | p501(X!0) | p201(X!0) | p202(X!0) | p301(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.65/0.93 tff(675,plain,
% 0.65/0.93 (~p604(X!0)),
% 0.65/0.93 inference(unit_resolution,[status(thm)],[674, 263, 264, 1, 2, 566, 3, 308])).
% 0.65/0.93 tff(676,plain,
% 0.65/0.93 (~p603(X!0)),
% 0.65/0.93 inference(unit_resolution,[status(thm)],[442, 4])).
% 0.65/0.93 tff(677,plain,
% 0.65/0.93 (p602(X!0)),
% 0.65/0.93 inference(unit_resolution,[status(thm)],[342, 676, 174, 116, 173])).
% 0.65/0.93 tff(678,plain,
% 0.65/0.93 (~p303(X!0)),
% 0.65/0.93 inference(unit_resolution,[status(thm)],[378, 4])).
% 0.65/0.93 tff(679,plain,
% 0.65/0.93 (p302(X!0)),
% 0.65/0.93 inference(unit_resolution,[status(thm)],[488, 678, 3, 308, 260])).
% 0.65/0.93 tff(680,plain,
% 0.65/0.93 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p303(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(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] : ((~p302(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] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(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] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(X)) | (~r1(X!0, 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)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(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))))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : 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tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(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)) | (~p303(X)) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(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)) | (~((~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)))) | (~p604(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)) | (~((~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_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)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(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_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(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)) | (~((~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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))) | ![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))),
% 0.65/0.93 inference(tautology,[status(thm)],[])).
% 0.65/0.93 tff(681,plain,
% 0.65/0.93 (![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))),
% 0.65/0.93 inference(unit_resolution,[status(thm)],[680, 48])).
% 0.65/0.93 tff(682,plain,
% 0.65/0.93 (((~![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)))),
% 0.65/0.93 inference(rewrite,[status(thm)],[])).
% 0.65/0.93 tff(683,plain,
% 0.65/0.93 ((~![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))) | ((~p302(X!0)) | (~p602(X!0)) | (~r1(X!0, X!0)))),
% 0.65/0.93 inference(quant_inst,[status(thm)],[])).
% 0.65/0.93 tff(684,plain,
% 0.65/0.93 ((~![X: $i] : ((~p302(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~p302(X!0)) | (~p602(X!0)) | (~r1(X!0, X!0))),
% 0.65/0.93 inference(modus_ponens,[status(thm)],[683, 682])).
% 0.65/0.93 tff(685,plain,
% 0.65/0.93 ((~p302(X!0)) | (~p602(X!0))),
% 0.65/0.93 inference(unit_resolution,[status(thm)],[684, 13, 681])).
% 0.65/0.93 tff(686,plain,
% 0.65/0.93 ($false),
% 0.65/0.93 inference(unit_resolution,[status(thm)],[685, 679, 677])).
% 0.65/0.93 tff(687,plain,((~p503(X!0)) | p301(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p605(X!0) | p601(X!0) | p604(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.65/0.93 tff(688,plain,
% 0.65/0.93 (~p503(X!0)),
% 0.65/0.93 inference(unit_resolution,[status(thm)],[687, 260, 308, 3, 174, 116, 675])).
% 0.65/0.93 tff(689,assumption,((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0))), introduced(assumption)).
% 0.65/0.93 tff(690,plain,
% 0.65/0.93 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p303(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(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] : ((~p302(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] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(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] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(X)) | (~r1(X!0, 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)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, 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p204(tptp_fun_Y_8(X)))) | (~p604(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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))) | ![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))),
% 0.65/0.93 inference(tautology,[status(thm)],[])).
% 0.65/0.93 tff(691,plain,
% 0.65/0.93 (![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))),
% 0.65/0.93 inference(unit_resolution,[status(thm)],[690, 48])).
% 0.65/0.93 tff(692,plain,
% 0.65/0.93 (((~![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)) | (~p603(X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(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)) | (~p603(X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))))),
% 0.65/0.93 inference(rewrite,[status(thm)],[])).
% 0.65/0.93 tff(693,plain,
% 0.65/0.93 (((~((~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)) | (~p603(X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))))),
% 0.65/0.93 inference(rewrite,[status(thm)],[])).
% 0.65/0.93 tff(694,plain,
% 0.65/0.93 (((~((~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)))),
% 0.65/0.93 inference(monotonicity,[status(thm)],[53])).
% 0.65/0.93 tff(695,plain,
% 0.65/0.93 (((~((~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)) | (~p603(X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))))),
% 0.65/0.93 inference(transitivity,[status(thm)],[694, 693])).
% 0.65/0.93 tff(696,plain,
% 0.65/0.93 (((~![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)) | (~p603(X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0))))))),
% 0.65/0.93 inference(monotonicity,[status(thm)],[695])).
% 0.65/0.93 tff(697,plain,
% 0.65/0.93 (((~![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)) | (~p603(X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))))),
% 0.65/0.93 inference(transitivity,[status(thm)],[696, 692])).
% 0.65/0.93 tff(698,plain,
% 0.65/0.93 ((~![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)))),
% 0.65/0.93 inference(quant_inst,[status(thm)],[])).
% 0.65/0.93 tff(699,plain,
% 0.65/0.93 ((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p603(X)))) | (~r1(X!0, X!0)) | (~p603(X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0))))),
% 0.65/0.93 inference(modus_ponens,[status(thm)],[698, 697])).
% 0.65/0.93 tff(700,plain,
% 0.65/0.93 ((~p603(X!0)) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0))))),
% 0.65/0.93 inference(unit_resolution,[status(thm)],[699, 13, 691])).
% 0.65/0.93 tff(701,plain,
% 0.65/0.93 (~p603(X!0)),
% 0.65/0.93 inference(unit_resolution,[status(thm)],[700, 689])).
% 0.65/0.93 tff(702,plain,
% 0.65/0.93 (p602(X!0)),
% 0.65/0.93 inference(unit_resolution,[status(thm)],[342, 701, 174, 116, 173])).
% 0.65/0.93 tff(703,plain,
% 0.65/0.93 (~p303(X!0)),
% 0.65/0.93 inference(unit_resolution,[status(thm)],[647, 689])).
% 0.65/0.93 tff(704,plain,
% 0.65/0.93 (p302(X!0)),
% 0.65/0.93 inference(unit_resolution,[status(thm)],[488, 703, 3, 308, 260])).
% 0.65/0.93 tff(705,plain,
% 0.65/0.93 ($false),
% 0.65/0.93 inference(unit_resolution,[status(thm)],[685, 704, 702])).
% 0.65/0.93 tff(706,plain,((~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | p301(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p605(X!0) | p601(X!0) | p604(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.65/0.93 tff(707,plain,
% 0.65/0.93 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 0.65/0.93 inference(unit_resolution,[status(thm)],[706, 260, 308, 3, 174, 116, 675])).
% 0.65/0.93 tff(708,plain,
% 0.65/0.93 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.65/0.93 inference(unit_resolution,[status(thm)],[76, 707])).
% 0.65/0.93 tff(709,assumption,(p302(X!0)), introduced(assumption)).
% 0.65/0.93 tff(710,plain,
% 0.65/0.93 (~p402(X!0)),
% 0.65/0.93 inference(unit_resolution,[status(thm)],[634, 709])).
% 0.65/0.93 tff(711,plain,
% 0.65/0.93 (~p602(X!0)),
% 0.65/0.93 inference(unit_resolution,[status(thm)],[685, 709])).
% 0.65/0.93 tff(712,plain,
% 0.65/0.93 (p603(X!0)),
% 0.65/0.93 inference(unit_resolution,[status(thm)],[342, 711, 174, 116, 173])).
% 0.65/0.93 tff(713,plain,
% 0.65/0.93 (~p403(X!0)),
% 0.65/0.93 inference(unit_resolution,[status(thm)],[365, 712])).
% 0.65/0.93 tff(714,plain,
% 0.65/0.93 (p404(X!0)),
% 0.65/0.93 inference(unit_resolution,[status(thm)],[358, 713, 263, 264, 710])).
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tptp_fun_Y_1(X))))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p501(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)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, 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(X!0, X)) | (~p101(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(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)) | (~p303(X)) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(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)) | (~((~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)))) | (~p604(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)) | (~((~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_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)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(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_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(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)) | (~((~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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))) | ![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))),
% 0.65/0.93 inference(tautology,[status(thm)],[])).
% 0.65/0.93 tff(716,plain,
% 0.65/0.93 (![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))),
% 0.65/0.93 inference(unit_resolution,[status(thm)],[715, 48])).
% 0.65/0.93 tff(717,plain,
% 0.65/0.93 (((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | ((~p404(X!0)) | (~r1(X!0, 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)))) | (~p404(X)))) | (~p404(X!0)) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))))),
% 0.65/0.93 inference(rewrite,[status(thm)],[])).
% 0.65/0.93 tff(718,plain,
% 0.65/0.93 (((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))) | (~p404(X!0))) <=> ((~p404(X!0)) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))))),
% 0.65/0.93 inference(rewrite,[status(thm)],[])).
% 0.65/0.93 tff(719,plain,
% 0.65/0.93 (((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))) | (~p404(X!0))) <=> ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))) | (~p404(X!0)))),
% 0.65/0.93 inference(monotonicity,[status(thm)],[139])).
% 0.65/0.93 tff(720,plain,
% 0.65/0.93 (((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))) | (~p404(X!0))) <=> ((~p404(X!0)) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))))),
% 0.65/0.93 inference(transitivity,[status(thm)],[719, 718])).
% 0.65/0.93 tff(721,plain,
% 0.65/0.93 (((~![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)))) | ((~p404(X!0)) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0))))))),
% 0.65/0.93 inference(monotonicity,[status(thm)],[720])).
% 0.65/0.93 tff(722,plain,
% 0.65/0.93 (((~![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)))) | (~p404(X!0)) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))))),
% 0.65/0.93 inference(transitivity,[status(thm)],[721, 717])).
% 0.65/0.93 tff(723,plain,
% 0.65/0.93 ((~![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)))),
% 0.65/0.93 inference(quant_inst,[status(thm)],[])).
% 0.65/0.93 tff(724,plain,
% 0.65/0.93 ((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p404(X)))) | (~p404(X!0)) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0))))),
% 0.65/0.93 inference(modus_ponens,[status(thm)],[723, 722])).
% 0.65/0.93 tff(725,plain,
% 0.65/0.93 ((~p404(X!0)) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0))))),
% 0.65/0.93 inference(unit_resolution,[status(thm)],[724, 13, 716])).
% 0.65/0.93 tff(726,plain,
% 0.65/0.93 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 0.65/0.93 inference(unit_resolution,[status(thm)],[725, 714])).
% 0.65/0.93 tff(727,plain,
% 0.65/0.93 (~p204(tptp_fun_Y_8(X!0))),
% 0.65/0.93 inference(unit_resolution,[status(thm)],[152, 726])).
% 0.65/0.93 tff(728,assumption,(~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))), introduced(assumption)).
% 0.65/0.93 tff(729,plain,
% 0.65/0.93 (~p504(X!0)),
% 0.65/0.93 inference(unit_resolution,[status(thm)],[367, 710, 264, 263, 174, 116, 711])).
% 0.65/0.93 tff(730,plain,
% 0.65/0.93 (~p502(X!0)),
% 0.65/0.93 inference(unit_resolution,[status(thm)],[579, 709])).
% 0.65/0.93 tff(731,plain,
% 0.65/0.93 (p505(X!0)),
% 0.65/0.93 inference(unit_resolution,[status(thm)],[132, 730, 1, 261, 729])).
% 0.65/0.93 tff(732,plain,
% 0.65/0.93 (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))),
% 0.65/0.93 inference(unit_resolution,[status(thm)],[232, 731])).
% 0.65/0.93 tff(733,plain,
% 0.65/0.93 (~p205(tptp_fun_Y_3(X!0))),
% 0.65/0.93 inference(unit_resolution,[status(thm)],[613, 732])).
% 0.65/0.93 tff(734,plain,
% 0.65/0.93 (r1(X!0, tptp_fun_Y_3(X!0))),
% 0.65/0.93 inference(unit_resolution,[status(thm)],[611, 732])).
% 0.65/0.93 tff(735,plain,
% 0.65/0.93 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.65/0.93 inference(unit_resolution,[status(thm)],[622, 734, 733])).
% 0.65/0.93 tff(736,plain,
% 0.65/0.93 (![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.65/0.93 inference(unit_resolution,[status(thm)],[168, 735, 2, 117, 728])).
% 0.65/0.93 tff(737,plain,
% 0.65/0.93 (r1(X!0, tptp_fun_Y_8(X!0))),
% 0.65/0.93 inference(unit_resolution,[status(thm)],[150, 726])).
% 0.65/0.93 tff(738,plain,
% 0.65/0.93 ($false),
% 0.65/0.93 inference(unit_resolution,[status(thm)],[160, 737, 736, 727])).
% 0.65/0.93 tff(739,plain,((~p302(X!0)) | p201(X!0) | p202(X!0) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p401(X!0) | p605(X!0) | p601(X!0) | p604(X!0) | p501(X!0) | p503(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.65/0.93 tff(740,plain,
% 0.65/0.93 (~p302(X!0)),
% 0.65/0.93 inference(unit_resolution,[status(thm)],[739, 708, 566, 2, 263, 264, 174, 116, 675, 1, 688])).
% 0.65/0.93 tff(741,plain,
% 0.65/0.93 (p303(X!0)),
% 0.65/0.93 inference(unit_resolution,[status(thm)],[488, 740, 3, 308, 260])).
% 0.65/0.93 tff(742,plain,
% 0.65/0.93 (~p603(X!0)),
% 0.65/0.93 inference(unit_resolution,[status(thm)],[388, 741])).
% 0.65/0.93 tff(743,plain,
% 0.65/0.93 (p602(X!0)),
% 0.65/0.93 inference(unit_resolution,[status(thm)],[342, 742, 174, 116, 675])).
% 0.65/0.93 tff(744,plain,
% 0.65/0.93 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p303(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(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] : ((~p302(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] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, 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tptp_fun_Y_1(X))))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : 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tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(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)) | (~p303(X)) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(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)) | (~((~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)))) | (~p604(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)) | (~((~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_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)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(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_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(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)) | (~((~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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))) | ![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))),
% 0.65/0.93 inference(tautology,[status(thm)],[])).
% 0.65/0.93 tff(745,plain,
% 0.65/0.93 (![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))),
% 0.65/0.93 inference(unit_resolution,[status(thm)],[744, 48])).
% 0.65/0.94 tff(746,plain,
% 0.65/0.94 (((~![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)))),
% 0.65/0.94 inference(rewrite,[status(thm)],[])).
% 0.65/0.94 tff(747,plain,
% 0.65/0.94 ((~![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | ((~p502(X!0)) | (~p602(X!0)) | (~r1(X!0, X!0)))),
% 0.65/0.94 inference(quant_inst,[status(thm)],[])).
% 0.65/0.94 tff(748,plain,
% 0.65/0.94 ((~![X: $i] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~p502(X!0)) | (~p602(X!0)) | (~r1(X!0, X!0))),
% 0.65/0.94 inference(modus_ponens,[status(thm)],[747, 746])).
% 0.65/0.94 tff(749,plain,
% 0.65/0.94 ((~p502(X!0)) | (~p602(X!0))),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[748, 13, 745])).
% 0.65/0.94 tff(750,plain,
% 0.65/0.94 (~p502(X!0)),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[749, 743])).
% 0.65/0.94 tff(751,plain,
% 0.65/0.94 (~p403(X!0)),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[413, 741])).
% 0.65/0.94 tff(752,plain,
% 0.65/0.94 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p303(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(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] : ((~p302(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] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, 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% 0.65/0.94 inference(tautology,[status(thm)],[])).
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% 0.65/0.94 inference(unit_resolution,[status(thm)],[752, 48])).
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% 0.65/0.94 inference(rewrite,[status(thm)],[])).
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% 0.65/0.94 inference(quant_inst,[status(thm)],[])).
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% 0.65/0.94 inference(modus_ponens,[status(thm)],[755, 754])).
% 0.65/0.94 tff(757,plain,
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% 0.65/0.94 ($false),
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tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(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)) | (~p303(X)) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(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)) | (~((~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)))) | (~p604(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)) | (~((~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_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)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(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_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(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)) | (~((~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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))) | ![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))),
% 0.65/0.94 inference(tautology,[status(thm)],[])).
% 0.65/0.94 tff(780,plain,
% 0.65/0.94 (![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[779, 48])).
% 0.65/0.94 tff(781,plain,
% 0.65/0.94 (((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | ((~p504(X!0)) | (~r1(X!0, 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)))) | (~p504(X)))) | (~p504(X!0)) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))))),
% 0.65/0.94 inference(rewrite,[status(thm)],[])).
% 0.65/0.94 tff(782,plain,
% 0.65/0.94 (((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))) | (~p504(X!0))) <=> ((~p504(X!0)) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))))),
% 0.65/0.94 inference(rewrite,[status(thm)],[])).
% 0.65/0.94 tff(783,plain,
% 0.65/0.94 (((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))) | (~p504(X!0))) <=> ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))) | (~p504(X!0)))),
% 0.65/0.94 inference(monotonicity,[status(thm)],[139])).
% 0.65/0.94 tff(784,plain,
% 0.65/0.94 (((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))) | (~p504(X!0))) <=> ((~p504(X!0)) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))))),
% 0.65/0.94 inference(transitivity,[status(thm)],[783, 782])).
% 0.65/0.94 tff(785,plain,
% 0.65/0.94 (((~![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)))) | ((~p504(X!0)) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0))))))),
% 0.65/0.94 inference(monotonicity,[status(thm)],[784])).
% 0.65/0.94 tff(786,plain,
% 0.65/0.94 (((~![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)))) | (~p504(X!0)) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))))),
% 0.65/0.94 inference(transitivity,[status(thm)],[785, 781])).
% 0.65/0.94 tff(787,plain,
% 0.65/0.94 ((~![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)))),
% 0.65/0.94 inference(quant_inst,[status(thm)],[])).
% 0.65/0.94 tff(788,plain,
% 0.65/0.94 ((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(X)))) | (~p504(X!0)) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0))))),
% 0.65/0.94 inference(modus_ponens,[status(thm)],[787, 786])).
% 0.65/0.94 tff(789,plain,
% 0.65/0.94 ((~p504(X!0)) | (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0))))),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[788, 13, 780])).
% 0.65/0.94 tff(790,plain,
% 0.65/0.94 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[789, 340])).
% 0.65/0.94 tff(791,plain,
% 0.65/0.94 (~p204(tptp_fun_Y_8(X!0))),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[152, 790])).
% 0.65/0.94 tff(792,plain,
% 0.65/0.94 (r1(X!0, tptp_fun_Y_8(X!0))),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[150, 790])).
% 0.65/0.94 tff(793,plain,
% 0.65/0.94 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[160, 792, 791])).
% 0.65/0.94 tff(794,plain,
% 0.65/0.94 (![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[168, 793, 2, 117, 119])).
% 0.65/0.94 tff(795,plain,
% 0.65/0.94 ((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0))),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[76, 794])).
% 0.65/0.94 tff(796,plain,
% 0.65/0.94 (~p603(X!0)),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[700, 795])).
% 0.65/0.94 tff(797,plain,
% 0.65/0.94 (p602(X!0)),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[342, 796, 174, 116, 173])).
% 0.65/0.94 tff(798,plain,
% 0.65/0.94 (~p403(X!0)),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[604, 795])).
% 0.65/0.94 tff(799,plain,
% 0.65/0.94 (p402(X!0)),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[358, 798, 263, 264, 353])).
% 0.65/0.94 tff(800,plain,
% 0.65/0.94 ($false),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[757, 799, 797])).
% 0.65/0.94 tff(801,plain,((~p504(X!0)) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p401(X!0) | p605(X!0) | p601(X!0) | p604(X!0) | p201(X!0) | p202(X!0) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.65/0.94 tff(802,plain,
% 0.65/0.94 (~p504(X!0)),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[801, 263, 264, 174, 116, 173, 2, 117, 119])).
% 0.65/0.94 tff(803,assumption,(~p403(X!0)), introduced(assumption)).
% 0.65/0.94 tff(804,assumption,(p603(X!0)), introduced(assumption)).
% 0.65/0.94 tff(805,plain,
% 0.65/0.94 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[700, 804])).
% 0.65/0.94 tff(806,plain,
% 0.65/0.94 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[76, 805])).
% 0.65/0.94 tff(807,plain,
% 0.65/0.94 (![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[168, 806, 2, 117, 119])).
% 0.65/0.94 tff(808,plain,
% 0.65/0.94 (~p503(X!0)),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[442, 804])).
% 0.65/0.94 tff(809,plain,
% 0.65/0.94 (p502(X!0)),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[132, 808, 1, 120, 430])).
% 0.65/0.94 tff(810,plain,
% 0.65/0.94 (~p402(X!0)),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[587, 809])).
% 0.65/0.94 tff(811,plain,
% 0.65/0.94 (p404(X!0)),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[358, 810, 263, 264, 803])).
% 0.65/0.94 tff(812,plain,
% 0.65/0.94 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[725, 811])).
% 0.65/0.94 tff(813,plain,
% 0.65/0.94 (r1(X!0, tptp_fun_Y_8(X!0))),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[150, 812])).
% 0.65/0.94 tff(814,plain,
% 0.65/0.94 (~p204(tptp_fun_Y_8(X!0))),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[152, 812])).
% 0.65/0.94 tff(815,plain,
% 0.65/0.94 ($false),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[160, 814, 813, 807])).
% 0.65/0.94 tff(816,plain,((~p603(X!0)) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p401(X!0) | p403(X!0) | p201(X!0) | p202(X!0) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p501(X!0) | p505(X!0) | p504(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.65/0.94 tff(817,plain,
% 0.65/0.94 (~p603(X!0)),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[816, 803, 264, 263, 2, 117, 119, 1, 120, 802])).
% 0.65/0.94 tff(818,plain,
% 0.65/0.94 (p602(X!0)),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[342, 817, 174, 116, 173])).
% 0.65/0.94 tff(819,plain,
% 0.65/0.94 (~p502(X!0)),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[749, 818])).
% 0.65/0.94 tff(820,plain,
% 0.65/0.94 (p503(X!0)),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[132, 819, 1, 120, 802])).
% 0.65/0.94 tff(821,plain,
% 0.65/0.94 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[60, 820])).
% 0.65/0.94 tff(822,plain,
% 0.65/0.94 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[76, 821])).
% 0.65/0.94 tff(823,plain,
% 0.65/0.94 (~p402(X!0)),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[757, 818])).
% 0.65/0.94 tff(824,plain,
% 0.65/0.94 (p404(X!0)),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[358, 823, 263, 264, 803])).
% 0.65/0.94 tff(825,plain,
% 0.65/0.94 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[725, 824])).
% 0.65/0.94 tff(826,plain,
% 0.65/0.94 (r1(X!0, tptp_fun_Y_8(X!0))),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[150, 825])).
% 0.65/0.94 tff(827,plain,
% 0.65/0.94 (~p204(tptp_fun_Y_8(X!0))),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[152, 825])).
% 0.65/0.94 tff(828,plain,
% 0.65/0.94 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[160, 827, 826])).
% 0.65/0.94 tff(829,plain,
% 0.65/0.94 ($false),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[168, 828, 822, 2, 117, 119])).
% 0.65/0.94 tff(830,plain,(p403(X!0) | p201(X!0) | p202(X!0) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p501(X!0) | p505(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p401(X!0) | p605(X!0) | p601(X!0) | p604(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.65/0.94 tff(831,plain,
% 0.65/0.94 (p403(X!0)),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[830, 778, 566, 2, 1, 774, 263, 264, 174, 116, 675])).
% 0.65/0.94 tff(832,plain,
% 0.65/0.94 (~p603(X!0)),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[365, 831])).
% 0.65/0.94 tff(833,plain,
% 0.65/0.94 (p602(X!0)),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[342, 832, 174, 116, 675])).
% 0.65/0.94 tff(834,plain,
% 0.65/0.94 (~p504(X!0)),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[801, 263, 264, 174, 116, 675, 2, 566, 778])).
% 0.65/0.94 tff(835,plain,
% 0.65/0.94 (~p503(X!0)),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[499, 831])).
% 0.65/0.94 tff(836,plain,
% 0.65/0.94 (p502(X!0)),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[132, 835, 1, 774, 834])).
% 0.65/0.94 tff(837,plain,
% 0.65/0.94 ($false),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[749, 836, 833])).
% 0.65/0.94 tff(838,plain,(![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p501(X!0) | p605(X!0) | p601(X!0) | p201(X!0) | p401(X!0) | p301(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.65/0.94 tff(839,plain,
% 0.65/0.94 (![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[838, 308, 174, 116, 2, 264, 3, 1])).
% 0.65/0.94 tff(840,plain,
% 0.65/0.94 (p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0)))),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[225, 839])).
% 0.65/0.94 tff(841,plain,
% 0.65/0.94 (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[213, 840])).
% 0.65/0.94 tff(842,plain,
% 0.65/0.94 (~p205(tptp_fun_Y_3(X!0))),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[613, 841])).
% 0.65/0.94 tff(843,plain,
% 0.65/0.94 (r1(X!0, tptp_fun_Y_3(X!0))),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[611, 841])).
% 0.65/0.94 tff(844,plain,
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% 0.65/0.94 inference(unit_resolution,[status(thm)],[622, 843, 842])).
% 0.65/0.94 tff(845,plain,
% 0.65/0.94 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[537, 840])).
% 0.65/0.94 tff(846,plain,
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% 0.65/0.94 inference(unit_resolution,[status(thm)],[258, 845])).
% 0.65/0.94 tff(847,plain,
% 0.65/0.94 (p604(X!0)),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[687, 4, 308, 3, 174, 116, 260])).
% 0.65/0.94 tff(848,plain,
% 0.65/0.94 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[146, 847])).
% 0.65/0.94 tff(849,plain,
% 0.65/0.94 (r1(X!0, tptp_fun_Y_8(X!0))),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[150, 848])).
% 0.65/0.94 tff(850,plain,
% 0.65/0.94 (![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[168, 77, 2, 117, 119])).
% 0.65/0.94 tff(851,plain,
% 0.65/0.94 (~p204(tptp_fun_Y_8(X!0))),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[152, 848])).
% 0.65/0.94 tff(852,plain,
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% 0.65/0.94 tff(853,plain,((~p503(X!0)) | p201(X!0) | p202(X!0) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | p301(X!0) | p605(X!0) | p601(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.65/0.94 tff(854,plain,
% 0.65/0.94 (~p503(X!0)),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[853, 844, 566, 2, 308, 3, 174, 116, 846])).
% 0.65/0.94 tff(855,plain,
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% 0.65/0.94 tff(856,assumption,(~p603(X!0)), introduced(assumption)).
% 0.65/0.94 tff(857,plain,
% 0.65/0.94 (~p602(X!0)),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[749, 573])).
% 0.65/0.94 tff(858,plain,
% 0.65/0.94 (p604(X!0)),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[342, 857, 174, 116, 856])).
% 0.65/0.94 tff(859,plain,
% 0.65/0.94 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[146, 858])).
% 0.65/0.94 tff(860,plain,
% 0.65/0.94 (r1(X!0, tptp_fun_Y_8(X!0))),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[150, 859])).
% 0.65/0.94 tff(861,plain,
% 0.65/0.94 (~p204(tptp_fun_Y_8(X!0))),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[152, 859])).
% 0.65/0.94 tff(862,plain,
% 0.65/0.94 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[647, 581])).
% 0.65/0.94 tff(863,plain,
% 0.65/0.94 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[76, 862])).
% 0.65/0.94 tff(864,plain,
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% 0.65/0.94 inference(unit_resolution,[status(thm)],[168, 863, 2, 117, 119])).
% 0.65/0.94 tff(865,plain,
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% 0.65/0.94 inference(unit_resolution,[status(thm)],[160, 864, 861, 860])).
% 0.65/0.94 tff(866,plain,((~p502(X!0)) | p201(X!0) | p202(X!0) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p605(X!0) | p601(X!0) | p603(X!0) | p301(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.65/0.94 tff(867,plain,
% 0.65/0.94 (p603(X!0)),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[866, 573, 117, 119, 174, 116, 2, 3, 308, 260])).
% 0.65/0.94 tff(868,plain,
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% 0.65/0.94 tff(869,plain,((~p502(X!0)) | p301(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p202(X!0) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p605(X!0) | p601(X!0) | p201(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.65/0.94 tff(870,plain,
% 0.65/0.94 (~p502(X!0)),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[869, 308, 3, 846, 566, 844, 174, 116, 2])).
% 0.65/0.94 tff(871,plain,
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% 0.65/0.94 tff(872,plain,
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% 0.65/0.94 inference(unit_resolution,[status(thm)],[789, 871])).
% 0.65/0.94 tff(873,plain,
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% 0.65/0.94 tff(875,plain,
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% 0.65/0.94 inference(unit_resolution,[status(thm)],[706, 874, 308, 3, 174, 116, 846])).
% 0.65/0.94 tff(876,plain,
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% 0.65/0.94 tff(877,plain,
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% 0.65/0.94 tff(879,plain,
% 0.65/0.94 (![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
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% 0.65/0.94 tff(880,plain,
% 0.65/0.94 ((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0))),
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% 0.65/0.94 tff(881,plain,
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(~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(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)) | (~((~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)))) | (~p604(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)) | (~((~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_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)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(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_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(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)) | (~((~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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(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)))))),
% 0.65/0.94 inference(tautology,[status(thm)],[])).
% 0.65/0.94 tff(882,plain,
% 0.65/0.94 (![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)))))),
% 0.65/0.94 inference(unit_resolution,[status(thm)],[881, 48])).
% 0.65/0.94 tff(883,plain,
% 0.65/0.94 (((~![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)))))),
% 0.65/0.94 inference(rewrite,[status(thm)],[])).
% 0.65/0.94 tff(884,plain,
% 0.65/0.94 (((~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)))))),
% 0.65/0.94 inference(rewrite,[status(thm)],[])).
% 0.65/0.94 tff(885,plain,
% 0.65/0.94 (((~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)))))),
% 0.65/0.94 inference(monotonicity,[status(thm)],[139, 462])).
% 0.65/0.94 tff(886,plain,
% 0.65/0.94 (((~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)))))),
% 0.65/0.94 inference(transitivity,[status(thm)],[885, 884])).
% 0.65/0.94 tff(887,plain,
% 0.65/0.94 (((~![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))))))),
% 0.65/0.95 inference(monotonicity,[status(thm)],[886])).
% 0.65/0.95 tff(888,plain,
% 0.65/0.95 (((~![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)))))),
% 0.65/0.95 inference(transitivity,[status(thm)],[887, 883])).
% 0.65/0.95 tff(889,plain,
% 0.65/0.95 ((~![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)))))),
% 0.65/0.95 inference(quant_inst,[status(thm)],[])).
% 0.65/0.95 tff(890,plain,
% 0.65/0.95 ((~![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))))),
% 0.65/0.95 inference(modus_ponens,[status(thm)],[889, 888])).
% 0.65/0.95 tff(891,plain,
% 0.65/0.95 ((~((~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))))),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[890, 13, 882])).
% 0.65/0.95 tff(892,plain,
% 0.65/0.95 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[891, 880])).
% 0.65/0.95 tff(893,plain,
% 0.65/0.95 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[162, 892])).
% 0.65/0.95 tff(894,plain,
% 0.65/0.95 (~p202(X!0)),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[565, 290, 174, 283, 297, 273])).
% 0.65/0.95 tff(895,plain,
% 0.65/0.95 (~p604(X!0)),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[517, 880])).
% 0.65/0.95 tff(896,plain,
% 0.65/0.95 (~p404(X!0)),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[469, 880])).
% 0.65/0.95 tff(897,plain,
% 0.65/0.95 (~p504(X!0)),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[559, 880])).
% 0.65/0.95 tff(898,plain,
% 0.65/0.95 (~p503(X!0)),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[60, 689])).
% 0.65/0.95 tff(899,plain,
% 0.65/0.95 (~p502(X!0)),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[749, 702])).
% 0.65/0.95 tff(900,plain,
% 0.65/0.95 (p505(X!0)),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[132, 899, 1, 430, 898])).
% 0.65/0.95 tff(901,plain,
% 0.65/0.95 (~p403(X!0)),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[604, 689])).
% 0.65/0.95 tff(902,plain,
% 0.65/0.95 (~p402(X!0)),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[757, 702])).
% 0.65/0.95 tff(903,plain,
% 0.65/0.95 (![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[358, 902, 571, 264, 901])).
% 0.65/0.95 tff(904,plain,
% 0.65/0.95 (p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0)))),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[225, 903])).
% 0.65/0.95 tff(905,plain,
% 0.65/0.95 ($false),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[401, 904, 900])).
% 0.65/0.95 tff(906,plain,((~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | p501(X!0) | p504(X!0) | p404(X!0) | p401(X!0) | p605(X!0) | p601(X!0) | p604(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.65/0.95 tff(907,plain,
% 0.65/0.95 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[906, 283, 897, 896, 273, 174, 290, 895])).
% 0.65/0.95 tff(908,plain,
% 0.65/0.95 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[76, 907])).
% 0.65/0.95 tff(909,plain,
% 0.65/0.95 (![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[168, 908, 307, 894, 893])).
% 0.65/0.95 tff(910,assumption,(~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))), introduced(assumption)).
% 0.65/0.95 tff(911,plain,
% 0.65/0.95 (~p205(tptp_fun_Y_3(X!0))),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[613, 910])).
% 0.65/0.95 tff(912,plain,
% 0.65/0.95 (r1(X!0, tptp_fun_Y_3(X!0))),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[611, 910])).
% 0.65/0.95 tff(913,plain,
% 0.65/0.95 ($false),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[622, 912, 911, 617])).
% 0.65/0.95 tff(914,plain,((p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0)))) | (~![Y: $i] : (p205(Y) | (~r1(X!0, Y))))), inference(lemma,lemma(discharge,[]))).
% 0.65/0.95 tff(915,plain,
% 0.65/0.95 (p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0)))),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[914, 909])).
% 0.65/0.95 tff(916,plain,
% 0.65/0.95 (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[213, 915])).
% 0.65/0.95 tff(917,plain,
% 0.65/0.95 (~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[225, 916])).
% 0.65/0.95 tff(918,plain,
% 0.65/0.95 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[906, 1, 430, 571, 264, 174, 116, 173])).
% 0.65/0.95 tff(919,plain,
% 0.65/0.95 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[76, 918])).
% 0.65/0.95 tff(920,plain,
% 0.65/0.95 (![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[168, 919, 2, 117, 572])).
% 0.65/0.95 tff(921,plain,
% 0.65/0.95 (p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0)))),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[914, 920])).
% 0.65/0.95 tff(922,plain,
% 0.65/0.95 (~p505(X!0)),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[232, 921])).
% 0.65/0.95 tff(923,plain,
% 0.65/0.95 (p503(X!0)),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[132, 118, 1, 430, 922])).
% 0.65/0.95 tff(924,plain,
% 0.65/0.95 (~p603(X!0)),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[442, 923])).
% 0.65/0.95 tff(925,plain,
% 0.65/0.95 (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[213, 921])).
% 0.65/0.95 tff(926,plain,
% 0.65/0.95 (~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[225, 925])).
% 0.65/0.95 tff(927,plain,
% 0.65/0.95 (~p403(X!0)),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[626, 118, 117, 430, 1, 572, 2])).
% 0.65/0.95 tff(928,plain,
% 0.65/0.95 (p402(X!0)),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[358, 927, 571, 264, 926])).
% 0.65/0.95 tff(929,plain,
% 0.65/0.95 (~p602(X!0)),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[757, 928])).
% 0.65/0.95 tff(930,plain,
% 0.65/0.95 ($false),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[342, 929, 924, 174, 116, 173])).
% 0.65/0.95 tff(931,plain,(p502(X!0) | p605(X!0) | p601(X!0) | p604(X!0) | p404(X!0) | p401(X!0) | p501(X!0) | p504(X!0) | p202(X!0) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | p201(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.65/0.95 tff(932,plain,
% 0.65/0.95 (p502(X!0)),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[931, 290, 174, 895, 896, 273, 283, 897, 894, 893, 307])).
% 0.65/0.95 tff(933,plain,
% 0.65/0.95 (~p402(X!0)),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[587, 932])).
% 0.65/0.95 tff(934,plain,
% 0.65/0.95 (p403(X!0)),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[358, 933, 896, 273, 917])).
% 0.65/0.95 tff(935,plain,
% 0.65/0.95 (~p602(X!0)),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[749, 932])).
% 0.65/0.95 tff(936,plain,
% 0.65/0.95 (p603(X!0)),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[342, 935, 174, 290, 895])).
% 0.65/0.95 tff(937,plain,
% 0.65/0.95 ($false),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[365, 936, 934])).
% 0.65/0.95 tff(938,plain,((~p101(X!0)) | p605(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.65/0.95 tff(939,plain,
% 0.65/0.95 (~p101(X!0)),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[938, 174])).
% 0.65/0.95 tff(940,plain,
% 0.65/0.95 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p303(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(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] : ((~p302(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] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(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] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(X)) | (~r1(X!0, 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)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(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))))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : 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tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(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)) | (~p303(X)) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(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)) | (~((~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)))) | (~p604(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)) | (~((~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_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)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(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_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(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)) | (~((~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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))) | ![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))),
% 0.65/0.95 inference(tautology,[status(thm)],[])).
% 0.65/0.95 tff(941,plain,
% 0.65/0.95 (![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[940, 48])).
% 0.65/0.95 tff(942,plain,
% 0.65/0.95 (((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | ((~p504(X!0)) | (~r1(X!0, 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_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~p504(X!0)) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))))),
% 0.65/0.95 inference(rewrite,[status(thm)],[])).
% 0.65/0.95 tff(943,plain,
% 0.65/0.95 (((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))) | (~p504(X!0))) <=> ((~p504(X!0)) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))))),
% 0.65/0.95 inference(rewrite,[status(thm)],[])).
% 0.65/0.95 tff(944,plain,
% 0.65/0.95 ((~((~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))) | p104(tptp_fun_Y_9(X!0))))),
% 0.65/0.95 inference(rewrite,[status(thm)],[])).
% 0.65/0.95 tff(945,plain,
% 0.65/0.95 (((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))) | (~p504(X!0))) <=> ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))) | (~p504(X!0)))),
% 0.65/0.95 inference(monotonicity,[status(thm)],[944])).
% 0.65/0.95 tff(946,plain,
% 0.65/0.95 (((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))) | (~p504(X!0))) <=> ((~p504(X!0)) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))))),
% 0.65/0.95 inference(transitivity,[status(thm)],[945, 943])).
% 0.65/0.95 tff(947,plain,
% 0.65/0.95 (((~![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)))) | ((~p504(X!0)) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0))))))),
% 0.65/0.95 inference(monotonicity,[status(thm)],[946])).
% 0.65/0.95 tff(948,plain,
% 0.65/0.95 (((~![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)))) | (~p504(X!0)) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))))),
% 0.65/0.95 inference(transitivity,[status(thm)],[947, 942])).
% 0.65/0.95 tff(949,plain,
% 0.65/0.95 ((~![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)))),
% 0.65/0.95 inference(quant_inst,[status(thm)],[])).
% 0.65/0.95 tff(950,plain,
% 0.65/0.95 ((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p504(X)))) | (~p504(X!0)) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0))))),
% 0.65/0.95 inference(modus_ponens,[status(thm)],[949, 948])).
% 0.65/0.95 tff(951,plain,
% 0.65/0.95 ((~p504(X!0)) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0))))),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[950, 13, 941])).
% 0.65/0.95 tff(952,plain,
% 0.65/0.95 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[951, 340])).
% 0.65/0.95 tff(953,plain,
% 0.65/0.95 (((~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))),
% 0.65/0.95 inference(tautology,[status(thm)],[])).
% 0.65/0.95 tff(954,plain,
% 0.65/0.95 (r1(X!0, tptp_fun_Y_9(X!0))),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[953, 952])).
% 0.65/0.95 tff(955,plain,
% 0.65/0.95 (((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0))) | (~p104(tptp_fun_Y_9(X!0)))),
% 0.65/0.95 inference(tautology,[status(thm)],[])).
% 0.65/0.95 tff(956,plain,
% 0.65/0.95 (~p104(tptp_fun_Y_9(X!0))),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[955, 952])).
% 0.65/0.95 tff(957,assumption,(~p104(tptp_fun_Y_9(X!0))), introduced(assumption)).
% 0.65/0.95 tff(958,assumption,(r1(X!0, tptp_fun_Y_9(X!0))), introduced(assumption)).
% 0.65/0.95 tff(959,assumption,(![Y: $i] : (p104(Y) | (~r1(X!0, Y)))), introduced(assumption)).
% 0.65/0.95 tff(960,plain,
% 0.65/0.95 (((~![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))))),
% 0.65/0.95 inference(rewrite,[status(thm)],[])).
% 0.65/0.95 tff(961,plain,
% 0.65/0.95 ((~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))) | (p104(tptp_fun_Y_9(X!0)) | (~r1(X!0, tptp_fun_Y_9(X!0))))),
% 0.65/0.95 inference(quant_inst,[status(thm)],[])).
% 0.65/0.95 tff(962,plain,
% 0.65/0.95 ((~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))) | p104(tptp_fun_Y_9(X!0)) | (~r1(X!0, tptp_fun_Y_9(X!0)))),
% 0.65/0.95 inference(modus_ponens,[status(thm)],[961, 960])).
% 0.65/0.95 tff(963,plain,
% 0.65/0.95 ($false),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[962, 959, 958, 957])).
% 0.65/0.95 tff(964,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,[]))).
% 0.65/0.95 tff(965,plain,
% 0.65/0.95 (~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[964, 956, 954])).
% 0.65/0.95 tff(966,plain,
% 0.65/0.95 ((p101(X!0) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y)))) <=> (p101(X!0) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y))))),
% 0.65/0.95 inference(rewrite,[status(thm)],[])).
% 0.65/0.95 tff(967,plain,
% 0.65/0.95 ((p101(X!0) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y)))) <=> (p101(X!0) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y))))),
% 0.65/0.95 inference(rewrite,[status(thm)],[])).
% 0.65/0.95 tff(968,plain,
% 0.65/0.95 (p101(X!0) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.65/0.95 inference(and_elim,[status(thm)],[37])).
% 0.65/0.95 tff(969,plain,
% 0.65/0.95 (p101(X!0) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.65/0.95 inference(modus_ponens,[status(thm)],[968, 967])).
% 0.65/0.95 tff(970,plain,
% 0.65/0.95 (p101(X!0) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.65/0.95 inference(modus_ponens,[status(thm)],[969, 966])).
% 0.65/0.95 tff(971,plain,
% 0.65/0.95 (![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[970, 965, 939, 265, 262])).
% 0.65/0.95 tff(972,plain,
% 0.65/0.95 (p402(X!0)),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[358, 353, 264, 803, 263])).
% 0.65/0.95 tff(973,plain,
% 0.65/0.95 (~p602(X!0)),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[757, 972])).
% 0.65/0.95 tff(974,plain,
% 0.65/0.95 (p603(X!0)),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[342, 973, 174, 116, 173])).
% 0.65/0.95 tff(975,plain,
% 0.65/0.95 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p303(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(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] : ((~p302(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] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(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] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(X)) | (~r1(X!0, 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)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(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))))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p501(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)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, 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(X!0, X)) | (~p101(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(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)) | (~p303(X)) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(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)) | (~((~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)))) | (~p604(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)) | (~((~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_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)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(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_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(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)) | (~((~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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))) | ![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X)))),
% 0.65/0.95 inference(tautology,[status(thm)],[])).
% 0.65/0.95 tff(976,plain,
% 0.65/0.95 (![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X)))),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[975, 48])).
% 0.65/0.95 tff(977,plain,
% 0.65/0.95 (((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X)))) | ((~r1(X!0, X!0)) | (~p603(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_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X)))) | (~r1(X!0, X!0)) | (~p603(X!0)) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))))),
% 0.65/0.95 inference(rewrite,[status(thm)],[])).
% 0.65/0.95 tff(978,plain,
% 0.65/0.95 (((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~p603(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)))))),
% 0.65/0.95 inference(rewrite,[status(thm)],[])).
% 0.65/0.95 tff(979,plain,
% 0.65/0.95 ((~((~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))))),
% 0.65/0.95 inference(rewrite,[status(thm)],[])).
% 0.65/0.95 tff(980,plain,
% 0.65/0.95 (((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(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)))),
% 0.65/0.95 inference(monotonicity,[status(thm)],[979])).
% 0.65/0.95 tff(981,plain,
% 0.65/0.95 (((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~p603(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)))))),
% 0.65/0.95 inference(transitivity,[status(thm)],[980, 978])).
% 0.65/0.95 tff(982,plain,
% 0.65/0.95 (((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(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!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X)))) | ((~r1(X!0, X!0)) | (~p603(X!0)) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0))))))),
% 0.65/0.95 inference(monotonicity,[status(thm)],[981])).
% 0.65/0.95 tff(983,plain,
% 0.65/0.95 (((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(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!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X)))) | (~r1(X!0, X!0)) | (~p603(X!0)) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))))),
% 0.65/0.95 inference(transitivity,[status(thm)],[982, 977])).
% 0.65/0.95 tff(984,plain,
% 0.65/0.95 ((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(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)))),
% 0.65/0.95 inference(quant_inst,[status(thm)],[])).
% 0.65/0.95 tff(985,plain,
% 0.65/0.95 ((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X)))) | (~r1(X!0, X!0)) | (~p603(X!0)) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0))))),
% 0.65/0.95 inference(modus_ponens,[status(thm)],[984, 983])).
% 0.65/0.95 tff(986,plain,
% 0.65/0.95 ((~p603(X!0)) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0))))),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[985, 13, 976])).
% 0.65/0.95 tff(987,plain,
% 0.65/0.95 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[986, 974])).
% 0.65/0.95 tff(988,assumption,(![Y: $i] : (p103(Y) | (~r1(X!0, Y)))), introduced(assumption)).
% 0.65/0.95 tff(989,assumption,(~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))), introduced(assumption)).
% 0.65/0.95 tff(990,plain,
% 0.65/0.95 (((~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))),
% 0.65/0.95 inference(tautology,[status(thm)],[])).
% 0.65/0.95 tff(991,plain,
% 0.65/0.95 (r1(X!0, tptp_fun_Y_7(X!0))),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[990, 989])).
% 0.65/0.95 tff(992,plain,
% 0.65/0.95 (((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0))) | (~p103(tptp_fun_Y_7(X!0)))),
% 0.65/0.95 inference(tautology,[status(thm)],[])).
% 0.65/0.95 tff(993,plain,
% 0.65/0.95 (~p103(tptp_fun_Y_7(X!0))),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[992, 989])).
% 0.65/0.95 tff(994,assumption,(~p103(tptp_fun_Y_7(X!0))), introduced(assumption)).
% 0.65/0.95 tff(995,assumption,(r1(X!0, tptp_fun_Y_7(X!0))), introduced(assumption)).
% 0.65/0.95 tff(996,plain,
% 0.65/0.95 (((~![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))))),
% 0.65/0.95 inference(rewrite,[status(thm)],[])).
% 0.65/0.95 tff(997,plain,
% 0.65/0.95 ((~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))) | (p103(tptp_fun_Y_7(X!0)) | (~r1(X!0, tptp_fun_Y_7(X!0))))),
% 0.65/0.95 inference(quant_inst,[status(thm)],[])).
% 0.65/0.95 tff(998,plain,
% 0.65/0.95 ((~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))) | p103(tptp_fun_Y_7(X!0)) | (~r1(X!0, tptp_fun_Y_7(X!0)))),
% 0.65/0.95 inference(modus_ponens,[status(thm)],[997, 996])).
% 0.65/0.95 tff(999,plain,
% 0.65/0.95 ($false),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[998, 988, 995, 994])).
% 0.65/0.95 tff(1000,plain,((~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))) | (~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0))), inference(lemma,lemma(discharge,[]))).
% 0.65/0.95 tff(1001,plain,
% 0.65/0.95 ($false),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[1000, 993, 991, 988])).
% 0.65/0.95 tff(1002,plain,(((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0))) | (~![Y: $i] : (p103(Y) | (~r1(X!0, Y))))), inference(lemma,lemma(discharge,[]))).
% 0.65/0.95 tff(1003,plain,
% 0.65/0.95 ($false),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[1002, 987, 971])).
% 0.65/0.95 tff(1004,plain,((~p504(X!0)) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | p605(X!0) | p601(X!0) | p604(X!0) | p401(X!0) | p403(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.65/0.95 tff(1005,plain,
% 0.65/0.95 (~p504(X!0)),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[1004, 803, 262, 174, 116, 173, 264, 265, 263])).
% 0.65/0.95 tff(1006,plain,
% 0.65/0.95 (p501(X!0)),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[132, 1005, 118, 120, 261])).
% 0.65/0.95 tff(1007,plain,
% 0.65/0.95 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p303(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(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] : ((~p302(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] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(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] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(X)) | (~r1(X!0, 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)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(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))))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p501(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)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, 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(X!0, X)) | (~p101(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(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)) | (~p303(X)) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(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)) | (~((~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)))) | (~p604(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)) | (~((~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_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)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(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_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(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)) | (~((~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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))) | ![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p501(X)))),
% 0.65/0.95 inference(tautology,[status(thm)],[])).
% 0.65/0.95 tff(1008,plain,
% 0.65/0.95 (![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p501(X)))),
% 0.65/0.95 inference(unit_resolution,[status(thm)],[1007, 48])).
% 0.65/0.96 tff(1009,plain,
% 0.65/0.96 (((~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p501(X)))) | ((~r1(X!0, X!0)) | (~p501(X!0)) | (~p301(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p501(X)))) | (~r1(X!0, X!0)) | (~p501(X!0)) | (~p301(X!0)))),
% 0.65/0.96 inference(rewrite,[status(thm)],[])).
% 0.65/0.96 tff(1010,plain,
% 0.65/0.96 (((~r1(X!0, X!0)) | (~p301(X!0)) | (~p501(X!0))) <=> ((~r1(X!0, X!0)) | (~p501(X!0)) | (~p301(X!0)))),
% 0.65/0.96 inference(rewrite,[status(thm)],[])).
% 0.65/0.96 tff(1011,plain,
% 0.65/0.96 (((~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p501(X)))) | ((~r1(X!0, X!0)) | (~p301(X!0)) | (~p501(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p501(X)))) | ((~r1(X!0, X!0)) | (~p501(X!0)) | (~p301(X!0))))),
% 0.65/0.96 inference(monotonicity,[status(thm)],[1010])).
% 0.65/0.96 tff(1012,plain,
% 0.65/0.96 (((~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p501(X)))) | ((~r1(X!0, X!0)) | (~p301(X!0)) | (~p501(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p501(X)))) | (~r1(X!0, X!0)) | (~p501(X!0)) | (~p301(X!0)))),
% 0.65/0.96 inference(transitivity,[status(thm)],[1011, 1009])).
% 0.65/0.96 tff(1013,plain,
% 0.65/0.96 ((~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p501(X)))) | ((~r1(X!0, X!0)) | (~p301(X!0)) | (~p501(X!0)))),
% 0.65/0.96 inference(quant_inst,[status(thm)],[])).
% 0.65/0.96 tff(1014,plain,
% 0.65/0.96 ((~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p501(X)))) | (~r1(X!0, X!0)) | (~p501(X!0)) | (~p301(X!0))),
% 0.65/0.96 inference(modus_ponens,[status(thm)],[1013, 1012])).
% 0.65/0.96 tff(1015,plain,
% 0.65/0.96 ((~p501(X!0)) | (~p301(X!0))),
% 0.65/0.96 inference(unit_resolution,[status(thm)],[1014, 13, 1008])).
% 0.65/0.96 tff(1016,plain,
% 0.65/0.96 (~p301(X!0)),
% 0.65/0.96 inference(unit_resolution,[status(thm)],[1015, 1006])).
% 0.65/0.96 tff(1017,plain,
% 0.65/0.96 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p303(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(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] : ((~p302(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] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(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] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(X)) | (~r1(X!0, 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)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(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))))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p501(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)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, 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(X!0, X)) | (~p101(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(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)) | (~p303(X)) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(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)) | (~((~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)))) | (~p604(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)) | (~((~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_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)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(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_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(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)) | (~((~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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))) | ![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))),
% 0.65/0.96 inference(tautology,[status(thm)],[])).
% 0.65/0.96 tff(1018,plain,
% 0.65/0.96 (![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))),
% 0.65/0.96 inference(unit_resolution,[status(thm)],[1017, 48])).
% 0.65/0.96 tff(1019,plain,
% 0.65/0.96 (((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | ((~p404(X!0)) | (~r1(X!0, 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_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~p404(X!0)) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))))),
% 0.65/0.96 inference(rewrite,[status(thm)],[])).
% 0.65/0.96 tff(1020,plain,
% 0.65/0.96 (((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))) | (~p404(X!0))) <=> ((~p404(X!0)) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))))),
% 0.65/0.96 inference(rewrite,[status(thm)],[])).
% 0.65/0.96 tff(1021,plain,
% 0.65/0.96 (((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))) | (~p404(X!0))) <=> ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))) | (~p404(X!0)))),
% 0.65/0.96 inference(monotonicity,[status(thm)],[944])).
% 0.65/0.96 tff(1022,plain,
% 0.65/0.96 (((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))) | (~p404(X!0))) <=> ((~p404(X!0)) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))))),
% 0.65/0.96 inference(transitivity,[status(thm)],[1021, 1020])).
% 0.65/0.96 tff(1023,plain,
% 0.65/0.96 (((~![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)))) | ((~p404(X!0)) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0))))))),
% 0.65/0.96 inference(monotonicity,[status(thm)],[1022])).
% 0.65/0.96 tff(1024,plain,
% 0.65/0.96 (((~![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)))) | (~p404(X!0)) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))))),
% 0.65/0.96 inference(transitivity,[status(thm)],[1023, 1019])).
% 0.65/0.96 tff(1025,plain,
% 0.65/0.96 ((~![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)))),
% 0.65/0.96 inference(quant_inst,[status(thm)],[])).
% 0.65/0.96 tff(1026,plain,
% 0.65/0.96 ((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p404(X)))) | (~p404(X!0)) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0))))),
% 0.65/0.96 inference(modus_ponens,[status(thm)],[1025, 1024])).
% 0.65/0.96 tff(1027,plain,
% 0.65/0.96 ((~p404(X!0)) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0))))),
% 0.65/0.96 inference(unit_resolution,[status(thm)],[1026, 13, 1018])).
% 0.65/0.96 tff(1028,plain,
% 0.65/0.96 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 0.65/0.96 inference(unit_resolution,[status(thm)],[1027, 431])).
% 0.65/0.96 tff(1029,plain,
% 0.65/0.96 (r1(X!0, tptp_fun_Y_9(X!0))),
% 0.65/0.96 inference(unit_resolution,[status(thm)],[953, 1028])).
% 0.65/0.96 tff(1030,plain,
% 0.65/0.96 (~p104(tptp_fun_Y_9(X!0))),
% 0.65/0.96 inference(unit_resolution,[status(thm)],[955, 1028])).
% 0.65/0.96 tff(1031,plain,
% 0.65/0.96 (~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.65/0.96 inference(unit_resolution,[status(thm)],[964, 1030, 1029])).
% 0.65/0.96 tff(1032,plain,
% 0.65/0.96 (![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.65/0.96 inference(unit_resolution,[status(thm)],[970, 1031, 939, 265, 262])).
% 0.65/0.96 tff(1033,plain,
% 0.65/0.96 ((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0))),
% 0.65/0.96 inference(unit_resolution,[status(thm)],[1002, 1032])).
% 0.65/0.96 tff(1034,plain,
% 0.65/0.96 (~p603(X!0)),
% 0.65/0.96 inference(unit_resolution,[status(thm)],[986, 1033])).
% 0.65/0.96 tff(1035,plain,
% 0.65/0.96 (p602(X!0)),
% 0.65/0.96 inference(unit_resolution,[status(thm)],[342, 1034, 174, 116, 173])).
% 0.65/0.96 tff(1036,plain,
% 0.65/0.96 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.65/0.96 inference(unit_resolution,[status(thm)],[547, 470])).
% 0.65/0.96 tff(1037,plain,
% 0.65/0.96 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p303(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(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] : ((~p302(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] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(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] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(X)) | (~r1(X!0, 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)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, 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tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(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)) | (~p303(X)) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(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)) | (~((~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)))) | (~p604(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)) | (~((~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_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)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(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_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(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)) | (~((~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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))) | ![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)))),
% 0.65/0.96 inference(tautology,[status(thm)],[])).
% 0.65/0.96 tff(1038,plain,
% 0.65/0.96 (![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)))),
% 0.65/0.96 inference(unit_resolution,[status(thm)],[1037, 48])).
% 0.65/0.96 tff(1039,plain,
% 0.65/0.96 (((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)))) | ((~r1(X!0, X!0)) | (~p303(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_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)))) | (~r1(X!0, X!0)) | (~p303(X!0)) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))))),
% 0.65/0.96 inference(rewrite,[status(thm)],[])).
% 0.65/0.96 tff(1040,plain,
% 0.65/0.96 (((~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)) | (~p303(X!0)) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))))),
% 0.65/0.96 inference(rewrite,[status(thm)],[])).
% 0.65/0.96 tff(1041,plain,
% 0.65/0.96 (((~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)) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~p303(X!0)))),
% 0.65/0.96 inference(monotonicity,[status(thm)],[979])).
% 0.65/0.96 tff(1042,plain,
% 0.65/0.96 (((~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)) | (~p303(X!0)) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))))),
% 0.65/0.96 inference(transitivity,[status(thm)],[1041, 1040])).
% 0.65/0.96 tff(1043,plain,
% 0.65/0.96 (((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(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!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)))) | ((~r1(X!0, X!0)) | (~p303(X!0)) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0))))))),
% 0.65/0.96 inference(monotonicity,[status(thm)],[1042])).
% 0.65/0.96 tff(1044,plain,
% 0.65/0.96 (((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(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!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)))) | (~r1(X!0, X!0)) | (~p303(X!0)) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))))),
% 0.65/0.96 inference(transitivity,[status(thm)],[1043, 1039])).
% 0.65/0.96 tff(1045,plain,
% 0.65/0.96 ((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(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)))),
% 0.65/0.96 inference(quant_inst,[status(thm)],[])).
% 0.65/0.96 tff(1046,plain,
% 0.65/0.96 ((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)))) | (~r1(X!0, X!0)) | (~p303(X!0)) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0))))),
% 0.65/0.96 inference(modus_ponens,[status(thm)],[1045, 1044])).
% 0.65/0.96 tff(1047,plain,
% 0.65/0.96 ((~p303(X!0)) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0))))),
% 0.65/0.96 inference(unit_resolution,[status(thm)],[1046, 13, 1038])).
% 0.65/0.96 tff(1048,plain,
% 0.65/0.96 (~p303(X!0)),
% 0.65/0.96 inference(unit_resolution,[status(thm)],[1047, 1033])).
% 0.65/0.96 tff(1049,plain,
% 0.65/0.96 (p302(X!0)),
% 0.65/0.96 inference(unit_resolution,[status(thm)],[488, 1048, 3, 1036, 260])).
% 0.65/0.96 tff(1050,plain,
% 0.65/0.96 ($false),
% 0.65/0.96 inference(unit_resolution,[status(thm)],[685, 1049, 1035])).
% 0.65/0.96 tff(1051,plain,((~p404(X!0)) | p301(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p605(X!0) | p601(X!0) | p604(X!0) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.65/0.96 tff(1052,plain,
% 0.65/0.96 (~p404(X!0)),
% 0.65/0.96 inference(unit_resolution,[status(thm)],[1051, 1016, 260, 174, 116, 173, 265, 262])).
% 0.65/0.96 tff(1053,plain,
% 0.65/0.96 (p402(X!0)),
% 0.65/0.96 inference(unit_resolution,[status(thm)],[358, 1052, 264, 803, 263])).
% 0.65/0.96 tff(1054,plain,
% 0.65/0.96 (~p602(X!0)),
% 0.65/0.96 inference(unit_resolution,[status(thm)],[757, 1053])).
% 0.65/0.96 tff(1055,plain,
% 0.65/0.96 (p603(X!0)),
% 0.65/0.96 inference(unit_resolution,[status(thm)],[342, 1054, 174, 116, 173])).
% 0.65/0.96 tff(1056,plain,
% 0.65/0.96 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 0.65/0.96 inference(unit_resolution,[status(thm)],[986, 1055])).
% 0.65/0.96 tff(1057,plain,
% 0.65/0.96 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.65/0.96 inference(unit_resolution,[status(thm)],[1002, 1056])).
% 0.65/0.96 tff(1058,plain,
% 0.65/0.96 (![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.65/0.96 inference(unit_resolution,[status(thm)],[970, 1057, 939, 265, 262])).
% 0.65/0.96 tff(1059,plain,
% 0.65/0.96 (~p302(X!0)),
% 0.65/0.96 inference(unit_resolution,[status(thm)],[634, 1053])).
% 0.65/0.96 tff(1060,plain,
% 0.65/0.96 (~p303(X!0)),
% 0.65/0.96 inference(unit_resolution,[status(thm)],[388, 1055])).
% 0.65/0.96 tff(1061,plain,
% 0.65/0.96 (![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.65/0.96 inference(unit_resolution,[status(thm)],[488, 1060, 1016, 1059, 260])).
% 0.65/0.96 tff(1062,plain,
% 0.65/0.96 ((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0))),
% 0.65/0.96 inference(unit_resolution,[status(thm)],[547, 1061])).
% 0.65/0.96 tff(1063,plain,
% 0.65/0.96 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p303(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(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] : ((~p302(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] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(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] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(X)) | (~r1(X!0, 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)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(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))))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p501(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)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, 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(X!0, X)) | (~p101(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(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)) | (~p303(X)) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(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)) | (~((~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)))) | (~p604(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)) | (~((~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_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)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(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_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(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)) | (~((~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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(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)))))),
% 0.65/0.96 inference(tautology,[status(thm)],[])).
% 0.65/0.96 tff(1064,plain,
% 0.65/0.96 (![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)))))),
% 0.65/0.96 inference(unit_resolution,[status(thm)],[1063, 48])).
% 0.65/0.96 tff(1065,plain,
% 0.65/0.96 (((~![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_10(X!0))) | p304(tptp_fun_Y_10(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_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_10(X!0))) | p304(tptp_fun_Y_10(X!0)))) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))))),
% 0.65/0.96 inference(rewrite,[status(thm)],[])).
% 0.65/0.96 tff(1066,plain,
% 0.65/0.96 (((~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))))) <=> ((~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_9(X!0))) | p104(tptp_fun_Y_9(X!0)))))),
% 0.65/0.96 inference(rewrite,[status(thm)],[])).
% 0.65/0.96 tff(1067,plain,
% 0.65/0.96 (((~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))))) <=> ((~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)))))),
% 0.65/0.96 inference(monotonicity,[status(thm)],[944, 462])).
% 0.65/0.96 tff(1068,plain,
% 0.65/0.96 (((~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))))) <=> ((~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_9(X!0))) | p104(tptp_fun_Y_9(X!0)))))),
% 0.65/0.96 inference(transitivity,[status(thm)],[1067, 1066])).
% 0.65/0.96 tff(1069,plain,
% 0.65/0.96 (((~![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_10(X!0))) | p304(tptp_fun_Y_10(X!0)))) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0))))))),
% 0.65/0.96 inference(monotonicity,[status(thm)],[1068])).
% 0.65/0.96 tff(1070,plain,
% 0.65/0.96 (((~![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_10(X!0))) | p304(tptp_fun_Y_10(X!0)))) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))))),
% 0.65/0.96 inference(transitivity,[status(thm)],[1069, 1065])).
% 0.65/0.96 tff(1071,plain,
% 0.65/0.96 ((~![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)))))),
% 0.65/0.96 inference(quant_inst,[status(thm)],[])).
% 0.65/0.96 tff(1072,plain,
% 0.65/0.96 ((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(X)))))) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0))))),
% 0.65/0.96 inference(modus_ponens,[status(thm)],[1071, 1070])).
% 0.65/0.96 tff(1073,plain,
% 0.65/0.96 ((~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0))))),
% 0.65/0.96 inference(unit_resolution,[status(thm)],[1072, 13, 1064])).
% 0.65/0.96 tff(1074,plain,
% 0.65/0.96 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 0.65/0.96 inference(unit_resolution,[status(thm)],[1073, 1062])).
% 0.65/0.96 tff(1075,plain,
% 0.65/0.96 (r1(X!0, tptp_fun_Y_9(X!0))),
% 0.65/0.96 inference(unit_resolution,[status(thm)],[953, 1074])).
% 0.65/0.96 tff(1076,plain,
% 0.65/0.96 (~p104(tptp_fun_Y_9(X!0))),
% 0.65/0.96 inference(unit_resolution,[status(thm)],[955, 1074])).
% 0.65/0.96 tff(1077,plain,
% 0.65/0.96 ($false),
% 0.65/0.96 inference(unit_resolution,[status(thm)],[964, 1076, 1075, 1058])).
% 0.65/0.96 tff(1078,plain,(p403(X!0) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p605(X!0) | p601(X!0) | p604(X!0) | p401(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p502(X!0) | p505(X!0) | p503(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.65/0.96 tff(1079,plain,
% 0.65/0.96 (p403(X!0)),
% 0.65/0.96 inference(unit_resolution,[status(thm)],[1078, 265, 262, 260, 174, 116, 173, 264, 263, 118, 120, 261])).
% 0.65/0.96 tff(1080,plain,
% 0.65/0.96 (~p603(X!0)),
% 0.65/0.96 inference(unit_resolution,[status(thm)],[365, 1079])).
% 0.65/0.96 tff(1081,plain,
% 0.65/0.96 (p602(X!0)),
% 0.65/0.96 inference(unit_resolution,[status(thm)],[342, 1080, 174, 116, 173])).
% 0.65/0.96 tff(1082,plain,
% 0.65/0.96 (~p302(X!0)),
% 0.65/0.96 inference(unit_resolution,[status(thm)],[685, 1081])).
% 0.65/0.96 tff(1083,plain,
% 0.65/0.96 (~p303(X!0)),
% 0.65/0.96 inference(unit_resolution,[status(thm)],[413, 1079])).
% 0.65/0.96 tff(1084,plain,
% 0.65/0.96 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p303(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(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] : ((~p302(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] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(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] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(X)) | (~r1(X!0, 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)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(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))))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p501(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)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, 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(X!0, X)) | (~p101(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(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)) | (~p303(X)) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(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)) | (~((~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)))) | (~p604(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)) | (~((~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_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)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(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_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(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)) | (~((~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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))) | ![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X)))),
% 0.65/0.97 inference(tautology,[status(thm)],[])).
% 0.65/0.97 tff(1085,plain,
% 0.65/0.97 (![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X)))),
% 0.65/0.97 inference(unit_resolution,[status(thm)],[1084, 48])).
% 0.65/0.97 tff(1086,plain,
% 0.65/0.97 (((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X)))) | ((~r1(X!0, X!0)) | (~p403(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_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X)))) | (~r1(X!0, X!0)) | (~p403(X!0)) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))))),
% 0.65/0.97 inference(rewrite,[status(thm)],[])).
% 0.65/0.97 tff(1087,plain,
% 0.65/0.97 (((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~p403(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)))))),
% 0.65/0.97 inference(rewrite,[status(thm)],[])).
% 0.65/0.97 tff(1088,plain,
% 0.65/0.97 (((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(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)))),
% 0.65/0.97 inference(monotonicity,[status(thm)],[979])).
% 0.65/0.97 tff(1089,plain,
% 0.65/0.97 (((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~p403(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)))))),
% 0.65/0.97 inference(transitivity,[status(thm)],[1088, 1087])).
% 0.65/0.97 tff(1090,plain,
% 0.65/0.97 (((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(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!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X)))) | ((~r1(X!0, X!0)) | (~p403(X!0)) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0))))))),
% 0.65/0.97 inference(monotonicity,[status(thm)],[1089])).
% 0.65/0.97 tff(1091,plain,
% 0.65/0.97 (((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(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!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X)))) | (~r1(X!0, X!0)) | (~p403(X!0)) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))))),
% 0.65/0.97 inference(transitivity,[status(thm)],[1090, 1086])).
% 0.65/0.97 tff(1092,plain,
% 0.65/0.97 ((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(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)))),
% 0.65/0.97 inference(quant_inst,[status(thm)],[])).
% 0.65/0.97 tff(1093,plain,
% 0.65/0.97 ((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X)))) | (~r1(X!0, X!0)) | (~p403(X!0)) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0))))),
% 0.65/0.97 inference(modus_ponens,[status(thm)],[1092, 1091])).
% 0.65/0.97 tff(1094,plain,
% 0.65/0.97 ((~p403(X!0)) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0))))),
% 0.65/0.97 inference(unit_resolution,[status(thm)],[1093, 13, 1085])).
% 0.65/0.97 tff(1095,plain,
% 0.65/0.97 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 0.65/0.97 inference(unit_resolution,[status(thm)],[1094, 1079])).
% 0.65/0.97 tff(1096,plain,
% 0.65/0.97 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.65/0.97 inference(unit_resolution,[status(thm)],[1002, 1095])).
% 0.65/0.97 tff(1097,plain,
% 0.65/0.97 (![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.65/0.97 inference(unit_resolution,[status(thm)],[970, 1096, 939, 265, 262])).
% 0.65/0.97 tff(1098,assumption,(~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))), introduced(assumption)).
% 0.65/0.97 tff(1099,plain,
% 0.65/0.97 (r1(X!0, tptp_fun_Y_9(X!0))),
% 0.65/0.97 inference(unit_resolution,[status(thm)],[953, 1098])).
% 0.65/0.97 tff(1100,plain,
% 0.65/0.97 (~p104(tptp_fun_Y_9(X!0))),
% 0.65/0.97 inference(unit_resolution,[status(thm)],[955, 1098])).
% 0.65/0.97 tff(1101,plain,
% 0.65/0.97 ($false),
% 0.65/0.97 inference(unit_resolution,[status(thm)],[964, 1100, 1099, 959])).
% 0.65/0.97 tff(1102,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,[]))).
% 0.65/0.97 tff(1103,plain,
% 0.65/0.97 ((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0))),
% 0.65/0.97 inference(unit_resolution,[status(thm)],[1102, 1097])).
% 0.65/0.97 tff(1104,plain,
% 0.65/0.97 (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))),
% 0.65/0.97 inference(unit_resolution,[status(thm)],[1073, 1103])).
% 0.65/0.97 tff(1105,plain,
% 0.65/0.97 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.65/0.97 inference(unit_resolution,[status(thm)],[547, 1104])).
% 0.65/0.97 tff(1106,plain,
% 0.65/0.97 (~p504(X!0)),
% 0.65/0.97 inference(unit_resolution,[status(thm)],[951, 1103])).
% 0.65/0.97 tff(1107,plain,
% 0.65/0.97 (p501(X!0)),
% 0.65/0.97 inference(unit_resolution,[status(thm)],[132, 1106, 118, 120, 261])).
% 0.65/0.97 tff(1108,plain,
% 0.65/0.97 (~p301(X!0)),
% 0.65/0.97 inference(unit_resolution,[status(thm)],[1015, 1107])).
% 0.65/0.97 tff(1109,plain,
% 0.65/0.97 ($false),
% 0.65/0.97 inference(unit_resolution,[status(thm)],[488, 1108, 1105, 1083, 1082, 260])).
% 0.65/0.97 tff(1110,plain,(![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p502(X!0) | p505(X!0) | p503(X!0) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | p605(X!0) | p601(X!0) | p604(X!0) | p401(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.65/0.97 tff(1111,plain,
% 0.65/0.97 (![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 0.65/0.97 inference(unit_resolution,[status(thm)],[1110, 264, 118, 120, 261, 262, 174, 116, 173, 260, 263])).
% 0.65/0.97 tff(1112,assumption,(![Y: $i] : (p102(Y) | (~r1(X!0, Y)))), introduced(assumption)).
% 0.65/0.97 tff(1113,assumption,(~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))), introduced(assumption)).
% 0.65/0.97 tff(1114,plain,
% 0.65/0.97 (((~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))),
% 0.65/0.97 inference(tautology,[status(thm)],[])).
% 0.65/0.97 tff(1115,plain,
% 0.65/0.97 (r1(X!0, tptp_fun_Y_5(X!0))),
% 0.65/0.97 inference(unit_resolution,[status(thm)],[1114, 1113])).
% 0.65/0.97 tff(1116,plain,
% 0.65/0.97 (((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0))) | (~p102(tptp_fun_Y_5(X!0)))),
% 0.65/0.97 inference(tautology,[status(thm)],[])).
% 0.65/0.97 tff(1117,plain,
% 0.65/0.97 (~p102(tptp_fun_Y_5(X!0))),
% 0.65/0.97 inference(unit_resolution,[status(thm)],[1116, 1113])).
% 0.65/0.97 tff(1118,assumption,(~p102(tptp_fun_Y_5(X!0))), introduced(assumption)).
% 0.65/0.97 tff(1119,assumption,(r1(X!0, tptp_fun_Y_5(X!0))), introduced(assumption)).
% 0.65/0.97 tff(1120,plain,
% 0.65/0.97 (((~![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))))),
% 0.65/0.97 inference(rewrite,[status(thm)],[])).
% 0.65/0.97 tff(1121,plain,
% 0.65/0.97 ((~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))) | (p102(tptp_fun_Y_5(X!0)) | (~r1(X!0, tptp_fun_Y_5(X!0))))),
% 0.65/0.97 inference(quant_inst,[status(thm)],[])).
% 0.65/0.97 tff(1122,plain,
% 0.65/0.97 ((~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))) | p102(tptp_fun_Y_5(X!0)) | (~r1(X!0, tptp_fun_Y_5(X!0)))),
% 0.65/0.97 inference(modus_ponens,[status(thm)],[1121, 1120])).
% 0.65/0.97 tff(1123,plain,
% 0.65/0.97 ($false),
% 0.65/0.97 inference(unit_resolution,[status(thm)],[1122, 1112, 1119, 1118])).
% 0.65/0.97 tff(1124,plain,((~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))) | (~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0))), inference(lemma,lemma(discharge,[]))).
% 0.65/0.97 tff(1125,plain,
% 0.65/0.97 ($false),
% 0.65/0.97 inference(unit_resolution,[status(thm)],[1124, 1117, 1115, 1112])).
% 0.65/0.97 tff(1126,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,[]))).
% 0.65/0.97 tff(1127,plain,
% 0.65/0.97 ((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0))),
% 0.65/0.97 inference(unit_resolution,[status(thm)],[1126, 1111])).
% 0.65/0.97 tff(1128,plain,
% 0.65/0.97 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p303(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(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] : ((~p302(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] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(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] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(X)) | (~r1(X!0, 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)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(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))))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p501(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)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, 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(X!0, X)) | (~p101(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(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)) | (~p303(X)) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(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)) | (~((~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)))) | (~p604(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)) | (~((~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_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)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(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_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(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)) | (~((~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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))) | ![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))),
% 0.65/0.97 inference(tautology,[status(thm)],[])).
% 0.65/0.97 tff(1129,plain,
% 0.65/0.97 (![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))),
% 0.65/0.97 inference(unit_resolution,[status(thm)],[1128, 48])).
% 0.65/0.97 tff(1130,plain,
% 0.65/0.97 (((~![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)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p402(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)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p402(X!0)))),
% 0.65/0.97 inference(rewrite,[status(thm)],[])).
% 0.65/0.97 tff(1131,plain,
% 0.65/0.97 (((~((~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)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p402(X!0)))),
% 0.65/0.97 inference(rewrite,[status(thm)],[])).
% 0.65/0.97 tff(1132,plain,
% 0.65/0.97 ((~((~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))))),
% 0.65/0.97 inference(rewrite,[status(thm)],[])).
% 0.65/0.97 tff(1133,plain,
% 0.65/0.97 (((~((~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)))),
% 0.65/0.97 inference(monotonicity,[status(thm)],[1132])).
% 0.65/0.97 tff(1134,plain,
% 0.65/0.97 (((~((~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)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p402(X!0)))),
% 0.65/0.97 inference(transitivity,[status(thm)],[1133, 1131])).
% 0.65/0.97 tff(1135,plain,
% 0.65/0.97 (((~![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)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p402(X!0))))),
% 0.65/0.97 inference(monotonicity,[status(thm)],[1134])).
% 0.65/0.97 tff(1136,plain,
% 0.65/0.97 (((~![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)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p402(X!0)))),
% 0.65/0.97 inference(transitivity,[status(thm)],[1135, 1130])).
% 0.65/0.97 tff(1137,plain,
% 0.65/0.97 ((~![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)))),
% 0.65/0.97 inference(quant_inst,[status(thm)],[])).
% 0.65/0.97 tff(1138,plain,
% 0.65/0.97 ((~![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)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p402(X!0))),
% 0.65/0.97 inference(modus_ponens,[status(thm)],[1137, 1136])).
% 0.65/0.97 tff(1139,plain,
% 0.65/0.97 ((~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p402(X!0))),
% 0.65/0.97 inference(unit_resolution,[status(thm)],[1138, 13, 1129])).
% 0.65/0.97 tff(1140,plain,
% 0.65/0.97 (~p402(X!0)),
% 0.65/0.97 inference(unit_resolution,[status(thm)],[1139, 1127])).
% 0.65/0.97 tff(1141,plain,
% 0.65/0.97 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p303(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(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] : ((~p302(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] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(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] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(X)) | (~r1(X!0, 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)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(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))))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p501(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)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, 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(X!0, X)) | (~p101(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(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)) | (~p303(X)) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(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)) | (~((~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)))) | (~p604(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)) | (~((~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_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)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(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_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(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)) | (~((~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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))) | ![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))),
% 0.65/0.97 inference(tautology,[status(thm)],[])).
% 0.65/0.97 tff(1142,plain,
% 0.65/0.97 (![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(X)) | (~r1(X!0, X)))),
% 0.65/0.97 inference(unit_resolution,[status(thm)],[1141, 48])).
% 0.65/0.97 tff(1143,plain,
% 0.65/0.97 (((~![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)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p602(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)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p602(X!0)))),
% 0.65/0.97 inference(rewrite,[status(thm)],[])).
% 0.65/0.97 tff(1144,plain,
% 0.65/0.97 (((~((~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)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p602(X!0)))),
% 0.65/0.97 inference(rewrite,[status(thm)],[])).
% 0.65/0.97 tff(1145,plain,
% 0.65/0.97 (((~((~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)))),
% 0.65/0.97 inference(monotonicity,[status(thm)],[1132])).
% 0.65/0.97 tff(1146,plain,
% 0.65/0.97 (((~((~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)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p602(X!0)))),
% 0.65/0.97 inference(transitivity,[status(thm)],[1145, 1144])).
% 0.65/0.97 tff(1147,plain,
% 0.65/0.97 (((~![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)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p602(X!0))))),
% 0.65/0.97 inference(monotonicity,[status(thm)],[1146])).
% 0.65/0.97 tff(1148,plain,
% 0.65/0.97 (((~![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)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p602(X!0)))),
% 0.65/0.97 inference(transitivity,[status(thm)],[1147, 1143])).
% 0.65/0.97 tff(1149,plain,
% 0.65/0.97 ((~![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)))),
% 0.65/0.97 inference(quant_inst,[status(thm)],[])).
% 0.65/0.97 tff(1150,plain,
% 0.65/0.97 ((~![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)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p602(X!0))),
% 0.65/0.97 inference(modus_ponens,[status(thm)],[1149, 1148])).
% 0.65/0.97 tff(1151,plain,
% 0.65/0.97 ((~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p602(X!0))),
% 0.65/0.97 inference(unit_resolution,[status(thm)],[1150, 13, 1142])).
% 0.65/0.97 tff(1152,plain,
% 0.65/0.97 (~p602(X!0)),
% 0.65/0.97 inference(unit_resolution,[status(thm)],[1151, 1127])).
% 0.65/0.97 tff(1153,plain,
% 0.65/0.97 (p603(X!0)),
% 0.65/0.97 inference(unit_resolution,[status(thm)],[342, 1152, 174, 116, 173])).
% 0.65/0.97 tff(1154,plain,
% 0.65/0.97 (~p403(X!0)),
% 0.65/0.97 inference(unit_resolution,[status(thm)],[365, 1153])).
% 0.65/0.97 tff(1155,plain,
% 0.65/0.97 (p404(X!0)),
% 0.65/0.97 inference(unit_resolution,[status(thm)],[358, 1154, 264, 1140, 263])).
% 0.65/0.97 tff(1156,plain,
% 0.65/0.97 (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))),
% 0.65/0.97 inference(unit_resolution,[status(thm)],[469, 1155])).
% 0.65/0.97 tff(1157,plain,
% 0.65/0.97 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p303(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(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] : ((~p302(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] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(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] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(X)) | (~r1(X!0, 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)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(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))))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p501(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)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, 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(X!0, X)) | (~p101(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(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)) | (~p303(X)) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(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)) | (~((~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)))) | (~p604(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)) | (~((~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_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)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(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_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(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)) | (~((~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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))) | ![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))),
% 0.65/0.97 inference(tautology,[status(thm)],[])).
% 0.65/0.97 tff(1158,plain,
% 0.65/0.97 (![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p302(X)) | (~r1(X!0, X)))),
% 0.65/0.97 inference(unit_resolution,[status(thm)],[1157, 48])).
% 0.65/0.97 tff(1159,plain,
% 0.65/0.97 (((~![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)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p302(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)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p302(X!0)))),
% 0.65/0.97 inference(rewrite,[status(thm)],[])).
% 0.65/0.97 tff(1160,plain,
% 0.65/0.97 (((~((~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)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p302(X!0)))),
% 0.65/0.97 inference(rewrite,[status(thm)],[])).
% 0.65/0.97 tff(1161,plain,
% 0.65/0.97 (((~((~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)))),
% 0.65/0.97 inference(monotonicity,[status(thm)],[1132])).
% 0.65/0.97 tff(1162,plain,
% 0.65/0.97 (((~((~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)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p302(X!0)))),
% 0.65/0.97 inference(transitivity,[status(thm)],[1161, 1160])).
% 0.65/0.97 tff(1163,plain,
% 0.65/0.97 (((~![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)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p302(X!0))))),
% 0.65/0.97 inference(monotonicity,[status(thm)],[1162])).
% 0.65/0.97 tff(1164,plain,
% 0.65/0.97 (((~![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)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p302(X!0)))),
% 0.65/0.97 inference(transitivity,[status(thm)],[1163, 1159])).
% 0.65/0.97 tff(1165,plain,
% 0.65/0.97 ((~![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)))),
% 0.65/0.97 inference(quant_inst,[status(thm)],[])).
% 0.65/0.97 tff(1166,plain,
% 0.65/0.97 ((~![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)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p302(X!0))),
% 0.65/0.97 inference(modus_ponens,[status(thm)],[1165, 1164])).
% 0.65/0.97 tff(1167,plain,
% 0.65/0.97 ((~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p302(X!0))),
% 0.65/0.97 inference(unit_resolution,[status(thm)],[1166, 13, 1158])).
% 0.65/0.97 tff(1168,plain,
% 0.65/0.97 (~p302(X!0)),
% 0.65/0.97 inference(unit_resolution,[status(thm)],[1167, 1127])).
% 0.65/0.97 tff(1169,plain,
% 0.65/0.97 (~p303(X!0)),
% 0.65/0.97 inference(unit_resolution,[status(thm)],[388, 1153])).
% 0.65/0.97 tff(1170,plain,
% 0.65/0.97 (~p504(X!0)),
% 0.65/0.97 inference(unit_resolution,[status(thm)],[367, 1152, 1140, 264, 174, 116, 263])).
% 0.65/0.97 tff(1171,plain,
% 0.65/0.97 (p501(X!0)),
% 0.65/0.97 inference(unit_resolution,[status(thm)],[132, 1170, 118, 120, 261])).
% 0.65/0.97 tff(1172,plain,
% 0.65/0.97 (~p301(X!0)),
% 0.65/0.97 inference(unit_resolution,[status(thm)],[1015, 1171])).
% 0.65/0.97 tff(1173,plain,
% 0.65/0.97 (![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.65/0.97 inference(unit_resolution,[status(thm)],[488, 1172, 1169, 1168, 260])).
% 0.65/0.97 tff(1174,plain,
% 0.65/0.97 ($false),
% 0.65/0.97 inference(unit_resolution,[status(thm)],[547, 1173, 1156])).
% 0.65/0.97 tff(1175,plain,(p401(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p502(X!0) | p505(X!0) | p503(X!0) | p605(X!0) | p601(X!0) | p604(X!0) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.65/0.98 tff(1176,plain,
% 0.65/0.98 (p401(X!0)),
% 0.65/0.98 inference(unit_resolution,[status(thm)],[1175, 261, 263, 118, 120, 260, 174, 116, 173, 262])).
% 0.65/0.98 tff(1177,plain,
% 0.65/0.98 (~p501(X!0)),
% 0.65/0.98 inference(unit_resolution,[status(thm)],[87, 1176])).
% 0.65/0.98 tff(1178,plain,
% 0.65/0.98 (p504(X!0)),
% 0.65/0.98 inference(unit_resolution,[status(thm)],[132, 1177, 118, 120, 261])).
% 0.65/0.98 tff(1179,plain,
% 0.65/0.98 (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))),
% 0.65/0.98 inference(unit_resolution,[status(thm)],[559, 1178])).
% 0.65/0.98 tff(1180,plain,
% 0.65/0.98 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.65/0.98 inference(unit_resolution,[status(thm)],[547, 1179])).
% 0.65/0.98 tff(1181,plain,
% 0.65/0.98 (~p301(X!0)),
% 0.65/0.98 inference(unit_resolution,[status(thm)],[114, 1176])).
% 0.65/0.98 tff(1182,plain,
% 0.65/0.98 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 0.65/0.98 inference(unit_resolution,[status(thm)],[951, 1178])).
% 0.65/0.98 tff(1183,plain,
% 0.65/0.98 (~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.65/0.98 inference(unit_resolution,[status(thm)],[1102, 1182])).
% 0.65/0.98 tff(1184,assumption,((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0))), introduced(assumption)).
% 0.65/0.98 tff(1185,plain,
% 0.65/0.98 (~p603(X!0)),
% 0.65/0.98 inference(unit_resolution,[status(thm)],[986, 1184])).
% 0.65/0.98 tff(1186,plain,
% 0.65/0.98 (p602(X!0)),
% 0.65/0.98 inference(unit_resolution,[status(thm)],[342, 1185, 174, 116, 173])).
% 0.65/0.98 tff(1187,plain,
% 0.65/0.98 (~p303(X!0)),
% 0.65/0.98 inference(unit_resolution,[status(thm)],[1047, 1184])).
% 0.65/0.98 tff(1188,plain,
% 0.65/0.98 (p302(X!0)),
% 0.65/0.98 inference(unit_resolution,[status(thm)],[488, 1187, 3, 308, 260])).
% 0.65/0.98 tff(1189,plain,
% 0.65/0.98 ($false),
% 0.65/0.98 inference(unit_resolution,[status(thm)],[685, 1188, 1186])).
% 0.65/0.98 tff(1190,plain,((~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | p301(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p605(X!0) | p601(X!0) | p604(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.65/0.98 tff(1191,plain,
% 0.65/0.98 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 0.65/0.98 inference(unit_resolution,[status(thm)],[1190, 1181, 1180, 260, 174, 116, 173])).
% 0.65/0.98 tff(1192,plain,
% 0.65/0.98 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.65/0.98 inference(unit_resolution,[status(thm)],[1002, 1191])).
% 0.65/0.98 tff(1193,plain,
% 0.65/0.98 (![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 0.65/0.98 inference(unit_resolution,[status(thm)],[970, 1192, 939, 1183, 262])).
% 0.65/0.98 tff(1194,plain,
% 0.65/0.98 ((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0))),
% 0.65/0.98 inference(unit_resolution,[status(thm)],[1126, 1193])).
% 0.65/0.98 tff(1195,plain,
% 0.65/0.98 (~p302(X!0)),
% 0.65/0.98 inference(unit_resolution,[status(thm)],[1167, 1194])).
% 0.65/0.98 tff(1196,plain,
% 0.65/0.98 (p303(X!0)),
% 0.65/0.98 inference(unit_resolution,[status(thm)],[488, 1195, 1181, 1180, 260])).
% 0.65/0.98 tff(1197,plain,
% 0.65/0.98 (~p602(X!0)),
% 0.65/0.98 inference(unit_resolution,[status(thm)],[1151, 1194])).
% 0.65/0.98 tff(1198,plain,
% 0.65/0.98 (p603(X!0)),
% 0.65/0.98 inference(unit_resolution,[status(thm)],[342, 1197, 174, 116, 173])).
% 0.65/0.98 tff(1199,plain,
% 0.65/0.98 ($false),
% 0.65/0.98 inference(unit_resolution,[status(thm)],[388, 1198, 1196])).
% 0.65/0.98 tff(1200,plain,(p503(X!0) | p605(X!0) | p601(X!0) | p604(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | p502(X!0) | p505(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.65/0.98 tff(1201,plain,
% 0.65/0.98 (p503(X!0)),
% 0.65/0.98 inference(unit_resolution,[status(thm)],[1200, 259, 116, 173, 174, 204, 118, 233, 226])).
% 0.65/0.98 tff(1202,plain,
% 0.65/0.98 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p303(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(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] : ((~p302(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] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(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] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(X)) | (~r1(X!0, 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)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(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))))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p501(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)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, 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(X!0, X)) | (~p101(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(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)) | (~p303(X)) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(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)) | (~((~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)))) | (~p604(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)) | (~((~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_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)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(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_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(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)) | (~((~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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))) | ![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X)))),
% 0.65/0.98 inference(tautology,[status(thm)],[])).
% 0.65/0.98 tff(1203,plain,
% 0.65/0.98 (![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X)))),
% 0.65/0.98 inference(unit_resolution,[status(thm)],[1202, 48])).
% 0.65/0.98 tff(1204,plain,
% 0.65/0.98 (((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X)))) | ((~r1(X!0, X!0)) | (~p503(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_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X)))) | (~r1(X!0, X!0)) | (~p503(X!0)) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))))),
% 0.65/0.98 inference(rewrite,[status(thm)],[])).
% 0.65/0.98 tff(1205,plain,
% 0.65/0.98 (((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~p503(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)))))),
% 0.65/0.98 inference(rewrite,[status(thm)],[])).
% 0.65/0.98 tff(1206,plain,
% 0.65/0.98 (((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(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)))),
% 0.65/0.98 inference(monotonicity,[status(thm)],[979])).
% 0.65/0.98 tff(1207,plain,
% 0.65/0.98 (((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | (~p503(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)))))),
% 0.65/0.98 inference(transitivity,[status(thm)],[1206, 1205])).
% 0.65/0.98 tff(1208,plain,
% 0.65/0.98 (((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(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!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X)))) | ((~r1(X!0, X!0)) | (~p503(X!0)) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0))))))),
% 0.65/0.98 inference(monotonicity,[status(thm)],[1207])).
% 0.65/0.98 tff(1209,plain,
% 0.65/0.98 (((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(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!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X)))) | (~r1(X!0, X!0)) | (~p503(X!0)) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))))),
% 0.65/0.98 inference(transitivity,[status(thm)],[1208, 1204])).
% 0.65/0.98 tff(1210,plain,
% 0.65/0.98 ((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(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)))),
% 0.65/0.98 inference(quant_inst,[status(thm)],[])).
% 0.65/0.98 tff(1211,plain,
% 0.65/0.98 ((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X)))) | (~r1(X!0, X!0)) | (~p503(X!0)) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0))))),
% 0.65/0.98 inference(modus_ponens,[status(thm)],[1210, 1209])).
% 0.65/0.98 tff(1212,plain,
% 0.65/0.98 ((~p503(X!0)) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0))))),
% 0.65/0.98 inference(unit_resolution,[status(thm)],[1211, 13, 1203])).
% 0.65/0.98 tff(1213,plain,
% 0.65/0.98 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 0.65/0.98 inference(unit_resolution,[status(thm)],[1212, 1201])).
% 0.65/0.98 tff(1214,plain,
% 0.65/0.98 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.65/0.98 inference(unit_resolution,[status(thm)],[1002, 1213])).
% 0.65/0.98 tff(1215,plain,
% 0.65/0.98 (~p603(X!0)),
% 0.65/0.98 inference(unit_resolution,[status(thm)],[442, 1201])).
% 0.65/0.98 tff(1216,plain,
% 0.65/0.98 (p602(X!0)),
% 0.65/0.98 inference(unit_resolution,[status(thm)],[342, 1215, 174, 116, 173])).
% 0.65/0.98 tff(1217,plain,
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% 0.65/0.98 inference(unit_resolution,[status(thm)],[1151, 1216])).
% 0.65/0.98 tff(1218,plain,
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% 0.65/0.98 inference(unit_resolution,[status(thm)],[1126, 1217])).
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% 0.65/0.98 tff(1220,plain,
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% 0.65/0.98 inference(unit_resolution,[status(thm)],[1102, 1219])).
% 0.65/0.98 tff(1221,plain,
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% 0.65/0.98 inference(unit_resolution,[status(thm)],[1073, 1220])).
% 0.65/0.98 tff(1222,plain,
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% 0.65/0.98 inference(unit_resolution,[status(thm)],[757, 1216])).
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% 0.65/0.98 tff(1224,plain,
% 0.65/0.98 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 0.65/0.98 inference(unit_resolution,[status(thm)],[1212, 4])).
% 0.65/0.98 tff(1225,plain,
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% 0.65/0.98 inference(unit_resolution,[status(thm)],[1002, 1224])).
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% 0.65/0.98 inference(unit_resolution,[status(thm)],[970, 1225, 1223, 265, 262])).
% 0.65/0.98 tff(1227,plain,
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% 0.65/0.98 inference(unit_resolution,[status(thm)],[499, 4])).
% 0.65/0.98 tff(1228,plain,
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% 0.65/0.98 inference(unit_resolution,[status(thm)],[358, 1227, 339, 264, 263])).
% 0.65/0.98 tff(1229,plain,
% 0.65/0.98 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 0.65/0.98 inference(unit_resolution,[status(thm)],[1027, 1228])).
% 0.65/0.98 tff(1230,plain,
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% 0.65/0.98 inference(unit_resolution,[status(thm)],[953, 1229])).
% 0.65/0.98 tff(1231,plain,
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% 0.65/0.98 inference(unit_resolution,[status(thm)],[955, 1229])).
% 0.65/0.98 tff(1232,plain,
% 0.65/0.98 ($false),
% 0.65/0.98 inference(unit_resolution,[status(thm)],[964, 1231, 1230, 1226])).
% 0.65/0.98 tff(1233,plain,((~p503(X!0)) | p101(X!0) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | p402(X!0) | p401(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.65/0.98 tff(1234,plain,
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% 0.65/0.98 inference(unit_resolution,[status(thm)],[1233, 1218, 204, 939, 226, 1201, 1222])).
% 0.65/0.98 tff(1235,plain,
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% 0.65/0.98 inference(unit_resolution,[status(thm)],[114, 1234])).
% 0.65/0.98 tff(1236,plain,
% 0.65/0.98 (![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.65/0.98 inference(unit_resolution,[status(thm)],[687, 1235, 173, 259, 174, 116, 1201])).
% 0.65/0.98 tff(1237,plain,
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% 0.65/0.98 inference(unit_resolution,[status(thm)],[547, 1236, 1221])).
% 0.65/0.98 tff(1238,plain,((~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))) | p604(X!0) | p605(X!0) | p601(X!0) | p502(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.65/0.98 tff(1239,plain,
% 0.65/0.98 (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))),
% 0.65/0.98 inference(unit_resolution,[status(thm)],[1238, 118, 174, 116, 173])).
% 0.65/0.98 tff(1240,plain,
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% 0.65/0.98 inference(unit_resolution,[status(thm)],[914, 1239])).
% 0.65/0.98 tff(1241,assumption,(p602(X!0)), introduced(assumption)).
% 0.65/0.98 tff(1242,plain,
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% 0.65/0.98 inference(unit_resolution,[status(thm)],[757, 1241])).
% 0.65/0.98 tff(1243,plain,
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% 0.65/0.98 inference(unit_resolution,[status(thm)],[685, 1241])).
% 0.65/0.98 tff(1244,plain,
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% 0.65/0.98 inference(unit_resolution,[status(thm)],[1151, 1241])).
% 0.65/0.98 tff(1245,plain,
% 0.65/0.98 (~p102(tptp_fun_Y_5(X!0))),
% 0.65/0.98 inference(unit_resolution,[status(thm)],[1116, 1244])).
% 0.65/0.98 tff(1246,plain,
% 0.65/0.98 (r1(X!0, tptp_fun_Y_5(X!0))),
% 0.65/0.98 inference(unit_resolution,[status(thm)],[1114, 1244])).
% 0.65/0.98 tff(1247,plain,
% 0.65/0.98 (~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 0.65/0.98 inference(unit_resolution,[status(thm)],[1124, 1246, 1245])).
% 0.65/0.98 tff(1248,plain,
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p204(tptp_fun_Y_8(X)))) | (~p604(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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p604(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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(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)))))),
% 0.65/0.98 inference(tautology,[status(thm)],[])).
% 0.65/0.98 tff(1249,plain,
% 0.65/0.98 (![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)))))),
% 0.65/0.98 inference(unit_resolution,[status(thm)],[1248, 48])).
% 0.65/0.98 tff(1250,plain,
% 0.65/0.98 (((~![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)))))),
% 0.65/0.98 inference(rewrite,[status(thm)],[])).
% 0.65/0.98 tff(1251,plain,
% 0.65/0.98 ((~![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)))))),
% 0.65/0.98 inference(quant_inst,[status(thm)],[])).
% 0.65/0.98 tff(1252,plain,
% 0.65/0.98 ((~![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))))),
% 0.65/0.98 inference(modus_ponens,[status(thm)],[1251, 1250])).
% 0.65/0.98 tff(1253,plain,
% 0.65/0.98 ((~((~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))))),
% 0.65/0.98 inference(unit_resolution,[status(thm)],[1252, 13, 1249])).
% 0.65/0.98 tff(1254,plain,
% 0.65/0.98 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 0.65/0.98 inference(unit_resolution,[status(thm)],[1253, 689])).
% 0.65/0.98 tff(1255,plain,
% 0.65/0.98 (~p103(tptp_fun_Y_7(X!0))),
% 0.65/0.98 inference(unit_resolution,[status(thm)],[992, 1254])).
% 0.65/0.98 tff(1256,plain,
% 0.65/0.98 (r1(X!0, tptp_fun_Y_7(X!0))),
% 0.65/0.98 inference(unit_resolution,[status(thm)],[990, 1254])).
% 0.65/0.98 tff(1257,plain,
% 0.65/0.98 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.65/0.98 inference(unit_resolution,[status(thm)],[1000, 1256, 1255])).
% 0.65/0.98 tff(1258,plain,
% 0.65/0.98 (~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.65/0.98 inference(unit_resolution,[status(thm)],[964, 1029, 1030])).
% 0.65/0.98 tff(1259,plain,
% 0.65/0.98 (![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.65/0.98 inference(unit_resolution,[status(thm)],[970, 1258, 939, 265, 1257])).
% 0.65/0.98 tff(1260,plain,
% 0.65/0.98 ((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0))),
% 0.65/0.98 inference(unit_resolution,[status(thm)],[203, 1259])).
% 0.65/0.98 tff(1261,plain,
% 0.65/0.98 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p303(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(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] : ((~p302(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] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(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] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(X)) | (~r1(X!0, 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)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(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))))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p501(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)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, 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(X!0, X)) | (~p101(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(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)) | (~p303(X)) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(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)) | (~((~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)))) | (~p604(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)) | (~((~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_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)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(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_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(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)) | (~((~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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))) | ![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))),
% 0.65/0.98 inference(tautology,[status(thm)],[])).
% 0.65/0.98 tff(1262,plain,
% 0.65/0.98 (![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))),
% 0.65/0.98 inference(unit_resolution,[status(thm)],[1261, 48])).
% 0.65/0.98 tff(1263,plain,
% 0.65/0.98 (((~![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)))),
% 0.65/0.98 inference(rewrite,[status(thm)],[])).
% 0.65/0.98 tff(1264,plain,
% 0.65/0.98 (((~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)))),
% 0.65/0.98 inference(rewrite,[status(thm)],[])).
% 0.65/0.98 tff(1265,plain,
% 0.65/0.98 (((~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)))),
% 0.65/0.98 inference(monotonicity,[status(thm)],[180])).
% 0.65/0.98 tff(1266,plain,
% 0.65/0.98 (((~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)))),
% 0.65/0.98 inference(transitivity,[status(thm)],[1265, 1264])).
% 0.65/0.98 tff(1267,plain,
% 0.65/0.98 (((~![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))))),
% 0.65/0.98 inference(monotonicity,[status(thm)],[1266])).
% 0.65/0.98 tff(1268,plain,
% 0.65/0.98 (((~![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)))),
% 0.65/0.98 inference(transitivity,[status(thm)],[1267, 1263])).
% 0.65/0.98 tff(1269,plain,
% 0.65/0.98 ((~![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)))),
% 0.65/0.98 inference(quant_inst,[status(thm)],[])).
% 0.65/0.98 tff(1270,plain,
% 0.65/0.98 ((~![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))),
% 0.65/0.98 inference(modus_ponens,[status(thm)],[1269, 1268])).
% 0.65/0.98 tff(1271,plain,
% 0.65/0.98 ((~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | (~p505(X!0))),
% 0.65/0.98 inference(unit_resolution,[status(thm)],[1270, 13, 1262])).
% 0.65/0.98 tff(1272,plain,
% 0.65/0.98 (~p505(X!0)),
% 0.65/0.98 inference(unit_resolution,[status(thm)],[1271, 1260])).
% 0.65/0.98 tff(1273,plain,
% 0.65/0.98 (p501(X!0)),
% 0.65/0.98 inference(unit_resolution,[status(thm)],[132, 1272, 118, 430, 898])).
% 0.65/0.98 tff(1274,plain,
% 0.65/0.98 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p303(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(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] : ((~p302(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] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(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] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(X)) | (~r1(X!0, 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)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(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))))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p501(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)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, 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(X!0, X)) | (~p101(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(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)) | (~p303(X)) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(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)) | (~((~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)))) | (~p604(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)) | (~((~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_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)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(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_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(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)) | (~((~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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))) | ![X: $i] : ((~r1(X!0, 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)))))),
% 0.65/0.99 inference(tautology,[status(thm)],[])).
% 0.65/0.99 tff(1275,plain,
% 0.65/0.99 (![X: $i] : ((~r1(X!0, 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)))))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[1274, 48])).
% 0.65/0.99 tff(1276,plain,
% 0.65/0.99 (((~![X: $i] : ((~r1(X!0, 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)))))) | ((~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)))))) <=> ((~![X: $i] : ((~r1(X!0, 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)))))) | (~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)))))),
% 0.65/0.99 inference(rewrite,[status(thm)],[])).
% 0.65/0.99 tff(1277,plain,
% 0.65/0.99 ((~![X: $i] : ((~r1(X!0, 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)))))) | ((~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)))))),
% 0.65/0.99 inference(quant_inst,[status(thm)],[])).
% 0.65/0.99 tff(1278,plain,
% 0.65/0.99 ((~![X: $i] : ((~r1(X!0, 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)))))) | (~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))))),
% 0.65/0.99 inference(modus_ponens,[status(thm)],[1277, 1276])).
% 0.65/0.99 tff(1279,plain,
% 0.65/0.99 ((~(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))))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[1278, 13, 1275])).
% 0.65/0.99 tff(1280,plain,
% 0.65/0.99 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[1279, 1260])).
% 0.65/0.99 tff(1281,plain,
% 0.65/0.99 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[258, 1280])).
% 0.65/0.99 tff(1282,plain,
% 0.65/0.99 (p301(X!0)),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[706, 1281, 173, 689, 174, 116, 1036])).
% 0.65/0.99 tff(1283,plain,
% 0.65/0.99 ($false),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[1015, 1282, 1273])).
% 0.65/0.99 tff(1284,plain,((~p404(X!0)) | p604(X!0) | (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | p605(X!0) | p601(X!0) | p502(X!0) | p504(X!0) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.65/0.99 tff(1285,plain,
% 0.65/0.99 (~p404(X!0)),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[1284, 689, 173, 174, 116, 118, 430, 265])).
% 0.65/0.99 tff(1286,plain,
% 0.65/0.99 (p401(X!0)),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[358, 1285, 339, 901, 263])).
% 0.65/0.99 tff(1287,plain,
% 0.65/0.99 (~p501(X!0)),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[87, 1286])).
% 0.65/0.99 tff(1288,plain,
% 0.65/0.99 (p505(X!0)),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[132, 1287, 118, 430, 898])).
% 0.65/0.99 tff(1289,plain,
% 0.65/0.99 (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[1271, 1288])).
% 0.65/0.99 tff(1290,plain,
% 0.65/0.99 (~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[203, 1289])).
% 0.65/0.99 tff(1291,plain,
% 0.65/0.99 (![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[970, 1290, 939, 265, 1257])).
% 0.65/0.99 tff(1292,plain,
% 0.65/0.99 (~p301(X!0)),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[114, 1286])).
% 0.65/0.99 tff(1293,plain,
% 0.65/0.99 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[453, 1288])).
% 0.65/0.99 tff(1294,plain,
% 0.65/0.99 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[258, 1293])).
% 0.65/0.99 tff(1295,plain,
% 0.65/0.99 (![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[706, 1294, 173, 689, 174, 116, 1292])).
% 0.65/0.99 tff(1296,plain,
% 0.65/0.99 ((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[547, 1295])).
% 0.65/0.99 tff(1297,plain,
% 0.65/0.99 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[1073, 1296])).
% 0.65/0.99 tff(1298,plain,
% 0.65/0.99 (r1(X!0, tptp_fun_Y_9(X!0))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[953, 1297])).
% 0.65/0.99 tff(1299,plain,
% 0.65/0.99 (~p104(tptp_fun_Y_9(X!0))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[955, 1297])).
% 0.65/0.99 tff(1300,plain,
% 0.65/0.99 ($false),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[964, 1299, 1298, 1291])).
% 0.65/0.99 tff(1301,plain,((~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | p604(X!0) | p605(X!0) | p601(X!0) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | p502(X!0) | p504(X!0) | p402(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.65/0.99 tff(1302,plain,
% 0.65/0.99 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[1301, 263, 174, 116, 265, 118, 430, 339, 173])).
% 0.65/0.99 tff(1303,plain,
% 0.65/0.99 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[76, 1302])).
% 0.65/0.99 tff(1304,plain,
% 0.65/0.99 (![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[168, 1303, 119, 117, 2])).
% 0.65/0.99 tff(1305,plain,
% 0.65/0.99 ((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[162, 1304])).
% 0.65/0.99 tff(1306,plain,
% 0.65/0.99 (~p404(X!0)),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[725, 1305])).
% 0.65/0.99 tff(1307,plain,
% 0.65/0.99 (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[891, 1305])).
% 0.65/0.99 tff(1308,plain,
% 0.65/0.99 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[547, 1307])).
% 0.65/0.99 tff(1309,plain,
% 0.65/0.99 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p303(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(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] : ((~p302(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] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(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] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(X)) | (~r1(X!0, 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)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(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))))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p501(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)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, 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(X!0, X)) | (~p101(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(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)) | (~p303(X)) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(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)) | (~((~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)))) | (~p604(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)) | (~((~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_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)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(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_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(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)) | (~((~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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(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_9(X))) | p104(tptp_fun_Y_9(X)))))),
% 0.65/0.99 inference(tautology,[status(thm)],[])).
% 0.65/0.99 tff(1310,plain,
% 0.65/0.99 (![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)))))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[1309, 48])).
% 0.65/0.99 tff(1311,plain,
% 0.65/0.99 (((~![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)))))),
% 0.65/0.99 inference(rewrite,[status(thm)],[])).
% 0.65/0.99 tff(1312,plain,
% 0.65/0.99 ((~![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)))))),
% 0.65/0.99 inference(quant_inst,[status(thm)],[])).
% 0.65/0.99 tff(1313,plain,
% 0.65/0.99 ((~![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))))),
% 0.65/0.99 inference(modus_ponens,[status(thm)],[1312, 1311])).
% 0.65/0.99 tff(1314,plain,
% 0.65/0.99 ((~((~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))))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[1313, 13, 1310])).
% 0.65/0.99 tff(1315,plain,
% 0.65/0.99 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[1314, 1305])).
% 0.65/0.99 tff(1316,plain,
% 0.65/0.99 (r1(X!0, tptp_fun_Y_9(X!0))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[953, 1315])).
% 0.65/0.99 tff(1317,plain,
% 0.65/0.99 (~p104(tptp_fun_Y_9(X!0))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[955, 1315])).
% 0.65/0.99 tff(1318,plain,
% 0.65/0.99 (~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[964, 1317, 1316])).
% 0.65/0.99 tff(1319,assumption,(~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))), introduced(assumption)).
% 0.65/0.99 tff(1320,assumption,(p505(X!0)), introduced(assumption)).
% 0.65/0.99 tff(1321,plain,
% 0.65/0.99 (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[1271, 1320])).
% 0.65/0.99 tff(1322,plain,
% 0.65/0.99 (~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[203, 1321])).
% 0.65/0.99 tff(1323,plain,
% 0.65/0.99 (![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[970, 1322, 1223, 265, 1319])).
% 0.65/0.99 tff(1324,plain,
% 0.65/0.99 ((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[1002, 1323])).
% 0.65/0.99 tff(1325,plain,
% 0.65/0.99 (~p403(X!0)),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[1094, 1324])).
% 0.65/0.99 tff(1326,plain,
% 0.65/0.99 (p401(X!0)),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[358, 1325, 339, 571, 263])).
% 0.65/0.99 tff(1327,plain,
% 0.65/0.99 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[453, 1320])).
% 0.65/0.99 tff(1328,plain,
% 0.65/0.99 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[258, 1327])).
% 0.65/0.99 tff(1329,plain,
% 0.65/0.99 (~p303(X!0)),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[1047, 1324])).
% 0.65/0.99 tff(1330,plain,
% 0.65/0.99 (p301(X!0)),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[488, 1329, 429, 308, 1328])).
% 0.65/0.99 tff(1331,plain,
% 0.65/0.99 ($false),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[114, 1330, 1326])).
% 0.65/0.99 tff(1332,plain,((~p505(X!0)) | p302(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | p402(X!0) | p404(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p101(X!0) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.65/0.99 tff(1333,plain,
% 0.65/0.99 (~p505(X!0)),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[1332, 308, 429, 339, 571, 263, 939, 265, 1319])).
% 0.65/0.99 tff(1334,plain,
% 0.65/0.99 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[1094, 593])).
% 0.65/0.99 tff(1335,plain,
% 0.65/0.99 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[1002, 1334])).
% 0.65/0.99 tff(1336,plain,
% 0.65/0.99 (![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[970, 1335, 1223, 265, 1319])).
% 0.65/0.99 tff(1337,plain,
% 0.65/0.99 (~p303(X!0)),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[413, 593])).
% 0.65/0.99 tff(1338,plain,
% 0.65/0.99 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[488, 1337, 429, 308, 3])).
% 0.65/0.99 tff(1339,plain,
% 0.65/0.99 (p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[258, 1338])).
% 0.65/0.99 tff(1340,plain,
% 0.65/0.99 (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[1279, 1339])).
% 0.65/0.99 tff(1341,plain,
% 0.65/0.99 ($false),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[203, 1340, 1336])).
% 0.65/0.99 tff(1342,plain,((~p403(X!0)) | p101(X!0) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y))) | p302(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | p301(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.65/0.99 tff(1343,plain,
% 0.65/0.99 (~p403(X!0)),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[1342, 3, 265, 1319, 429, 308, 939])).
% 0.65/0.99 tff(1344,plain,
% 0.65/0.99 (p401(X!0)),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[358, 1343, 339, 571, 263])).
% 0.65/0.99 tff(1345,plain,
% 0.65/0.99 (~p501(X!0)),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[87, 1344])).
% 0.65/0.99 tff(1346,plain,
% 0.65/0.99 (p503(X!0)),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[132, 1345, 118, 430, 1333])).
% 0.65/0.99 tff(1347,plain,
% 0.65/0.99 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[1212, 1346])).
% 0.65/0.99 tff(1348,plain,
% 0.65/0.99 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[1002, 1347])).
% 0.65/0.99 tff(1349,plain,
% 0.65/0.99 (![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[970, 1348, 939, 265, 1319])).
% 0.65/0.99 tff(1350,plain,
% 0.65/0.99 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[687, 1346, 173, 308, 174, 116, 3])).
% 0.65/0.99 tff(1351,plain,
% 0.65/0.99 (p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[258, 1350])).
% 0.65/0.99 tff(1352,plain,
% 0.65/0.99 (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[1279, 1351])).
% 0.65/0.99 tff(1353,plain,
% 0.65/0.99 ($false),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[203, 1352, 1349])).
% 0.65/0.99 tff(1354,plain,(p301(X!0) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y))) | p604(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | p605(X!0) | p601(X!0) | p502(X!0) | p504(X!0) | p402(X!0) | p404(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p302(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.65/0.99 tff(1355,plain,
% 0.65/0.99 (p301(X!0)),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[1354, 1318, 265, 173, 1308, 174, 116, 118, 430, 339, 1306, 263, 429])).
% 0.65/0.99 tff(1356,plain,
% 0.65/0.99 (~p401(X!0)),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[114, 1355])).
% 0.65/0.99 tff(1357,plain,
% 0.65/0.99 (p403(X!0)),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[358, 1356, 339, 1306, 263])).
% 0.65/0.99 tff(1358,plain,
% 0.65/0.99 (~p505(X!0)),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[1332, 1308, 429, 339, 1306, 263, 939, 265, 1318])).
% 0.65/0.99 tff(1359,plain,
% 0.65/0.99 (~p501(X!0)),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[1015, 1355])).
% 0.65/0.99 tff(1360,plain,
% 0.65/0.99 (p503(X!0)),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[132, 1359, 118, 430, 1358])).
% 0.65/0.99 tff(1361,plain,
% 0.65/0.99 ($false),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[499, 1360, 1357])).
% 0.65/0.99 tff(1362,plain,(![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p502(X!0) | p504(X!0) | p402(X!0) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | p604(X!0) | p605(X!0) | p601(X!0) | p302(X!0) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p202(X!0) | p201(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.65/0.99 tff(1363,plain,
% 0.65/0.99 (![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[1362, 430, 118, 339, 265, 173, 174, 116, 429, 119, 117, 2])).
% 0.65/0.99 tff(1364,plain,
% 0.65/0.99 (p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[225, 1363])).
% 0.65/0.99 tff(1365,plain,
% 0.65/0.99 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p303(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(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] : ((~p302(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] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(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] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(X)) | (~r1(X!0, 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)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(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))))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p501(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)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, 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(X!0, X)) | (~p101(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(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)) | (~p303(X)) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(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)) | (~((~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)))) | (~p604(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)) | (~((~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_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)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(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_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(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)) | (~((~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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(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)))))),
% 0.65/0.99 inference(tautology,[status(thm)],[])).
% 0.65/0.99 tff(1366,plain,
% 0.65/0.99 (![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)))))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[1365, 48])).
% 0.65/0.99 tff(1367,plain,
% 0.65/0.99 (((~![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)))))),
% 0.65/0.99 inference(rewrite,[status(thm)],[])).
% 0.65/0.99 tff(1368,plain,
% 0.65/0.99 ((~![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)))))),
% 0.65/0.99 inference(quant_inst,[status(thm)],[])).
% 0.65/0.99 tff(1369,plain,
% 0.65/0.99 ((~![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))))),
% 0.65/0.99 inference(modus_ponens,[status(thm)],[1368, 1367])).
% 0.65/0.99 tff(1370,plain,
% 0.65/0.99 ((~(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))))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[1369, 13, 1366])).
% 0.65/0.99 tff(1371,plain,
% 0.65/0.99 (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[1370, 1364])).
% 0.65/0.99 tff(1372,plain,
% 0.65/0.99 (~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[203, 1371])).
% 0.65/0.99 tff(1373,plain,
% 0.65/0.99 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[537, 1364])).
% 0.65/0.99 tff(1374,plain,
% 0.65/0.99 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[258, 1373])).
% 0.65/0.99 tff(1375,plain,
% 0.65/0.99 (~p505(X!0)),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[401, 1364])).
% 0.65/0.99 tff(1376,plain,
% 0.65/0.99 (![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[168, 77, 119, 117, 2])).
% 0.65/0.99 tff(1377,plain,
% 0.65/0.99 ((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[162, 1376])).
% 0.65/0.99 tff(1378,plain,
% 0.65/0.99 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[1314, 1377])).
% 0.65/0.99 tff(1379,plain,
% 0.65/0.99 (r1(X!0, tptp_fun_Y_9(X!0))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[953, 1378])).
% 0.65/0.99 tff(1380,plain,
% 0.65/0.99 (~p104(tptp_fun_Y_9(X!0))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[955, 1378])).
% 0.65/0.99 tff(1381,plain,
% 0.65/0.99 ($false),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[964, 1380, 1379, 1226])).
% 0.65/0.99 tff(1382,plain,((~p503(X!0)) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p202(X!0) | p201(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,[]))).
% 0.65/0.99 tff(1383,plain,
% 0.65/0.99 (~p503(X!0)),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[1382, 1372, 117, 2, 939, 265, 119])).
% 0.65/0.99 tff(1384,plain,
% 0.65/0.99 (p501(X!0)),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[132, 1383, 118, 430, 1375])).
% 0.65/0.99 tff(1385,plain,
% 0.65/0.99 (~p301(X!0)),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[1015, 1384])).
% 0.65/0.99 tff(1386,plain,
% 0.65/0.99 (p303(X!0)),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[488, 3, 429, 260, 308])).
% 0.65/0.99 tff(1387,plain,
% 0.65/0.99 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[1047, 1386])).
% 0.65/0.99 tff(1388,plain,
% 0.65/0.99 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[1002, 1387])).
% 0.65/0.99 tff(1389,plain,
% 0.65/0.99 (![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[970, 1388, 939, 265, 262])).
% 0.65/0.99 tff(1390,plain,
% 0.65/0.99 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[706, 3, 173, 260, 174, 116, 308])).
% 0.65/0.99 tff(1391,plain,
% 0.65/0.99 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[76, 1390])).
% 0.65/0.99 tff(1392,plain,
% 0.65/0.99 (![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[168, 1391, 119, 117, 2])).
% 0.65/0.99 tff(1393,plain,
% 0.65/0.99 ((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[162, 1392])).
% 0.65/0.99 tff(1394,plain,
% 0.65/0.99 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[1314, 1393])).
% 0.65/0.99 tff(1395,plain,
% 0.65/0.99 (r1(X!0, tptp_fun_Y_9(X!0))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[953, 1394])).
% 0.65/0.99 tff(1396,plain,
% 0.65/0.99 (~p104(tptp_fun_Y_9(X!0))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[955, 1394])).
% 0.65/0.99 tff(1397,plain,
% 0.65/0.99 ($false),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[964, 1396, 1395, 1389])).
% 0.65/0.99 tff(1398,plain,(p301(X!0) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p202(X!0) | p201(X!0) | p302(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | p604(X!0) | p605(X!0) | p601(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.65/0.99 tff(1399,plain,
% 0.65/0.99 (![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[1398, 1385, 1372, 119, 117, 2, 429, 1374, 265, 173, 174, 116])).
% 0.65/0.99 tff(1400,plain,
% 0.65/0.99 ((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[547, 1399])).
% 0.65/0.99 tff(1401,plain,
% 0.65/0.99 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[1073, 1400])).
% 0.65/0.99 tff(1402,plain,
% 0.65/0.99 (r1(X!0, tptp_fun_Y_9(X!0))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[953, 1401])).
% 0.65/0.99 tff(1403,plain,
% 0.65/0.99 (~p104(tptp_fun_Y_9(X!0))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[955, 1401])).
% 0.65/0.99 tff(1404,plain,
% 0.65/0.99 (~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[964, 1403, 1402])).
% 0.65/0.99 tff(1405,plain,
% 0.65/0.99 (![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[970, 1404, 939, 265, 1372])).
% 0.65/0.99 tff(1406,plain,
% 0.65/0.99 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[891, 1400])).
% 0.65/0.99 tff(1407,plain,
% 0.65/0.99 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[162, 1406])).
% 0.65/0.99 tff(1408,plain,
% 0.65/0.99 (![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[168, 1407, 119, 117, 2])).
% 0.65/0.99 tff(1409,plain,
% 0.65/0.99 ((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[76, 1408])).
% 0.65/0.99 tff(1410,plain,
% 0.65/0.99 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[1253, 1409])).
% 0.65/0.99 tff(1411,plain,
% 0.65/0.99 ($false),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[1002, 1410, 1405])).
% 0.65/0.99 tff(1412,plain,(p504(X!0) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p202(X!0) | p201(X!0) | p302(X!0) | p604(X!0) | p605(X!0) | p601(X!0) | p502(X!0) | p402(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.65/0.99 tff(1413,plain,
% 0.65/0.99 (p504(X!0)),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[1412, 2, 119, 117, 265, 429, 173, 174, 116, 118, 339])).
% 0.65/0.99 tff(1414,plain,
% 0.65/0.99 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[789, 1413])).
% 0.65/0.99 tff(1415,plain,
% 0.65/0.99 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[162, 1414])).
% 0.65/0.99 tff(1416,plain,
% 0.65/0.99 (![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[168, 1415, 119, 117, 2])).
% 0.65/0.99 tff(1417,plain,
% 0.65/0.99 ((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[76, 1416])).
% 0.65/0.99 tff(1418,plain,
% 0.65/0.99 (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[559, 1413])).
% 0.65/0.99 tff(1419,plain,
% 0.65/0.99 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[547, 1418])).
% 0.65/0.99 tff(1420,plain,
% 0.65/0.99 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[951, 1413])).
% 0.65/0.99 tff(1421,plain,
% 0.65/0.99 (r1(X!0, tptp_fun_Y_9(X!0))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[953, 1420])).
% 0.65/0.99 tff(1422,plain,
% 0.65/0.99 (~p104(tptp_fun_Y_9(X!0))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[955, 1420])).
% 0.65/0.99 tff(1423,plain,
% 0.65/0.99 (~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[964, 1422, 1421])).
% 0.65/0.99 tff(1424,plain,
% 0.65/0.99 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[1253, 1417])).
% 0.65/0.99 tff(1425,plain,
% 0.65/0.99 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[1002, 1424])).
% 0.65/0.99 tff(1426,plain,
% 0.65/0.99 (![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[970, 1425, 939, 265, 1423])).
% 0.65/0.99 tff(1427,plain,
% 0.65/0.99 ((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[203, 1426])).
% 0.65/0.99 tff(1428,plain,
% 0.65/0.99 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[1279, 1427])).
% 0.65/0.99 tff(1429,plain,
% 0.65/0.99 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[258, 1428])).
% 0.65/0.99 tff(1430,plain,
% 0.65/0.99 (p301(X!0)),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[706, 1429, 173, 1419, 174, 116, 1417])).
% 0.65/0.99 tff(1431,plain,
% 0.65/0.99 (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[1370, 1427])).
% 0.65/0.99 tff(1432,plain,
% 0.65/0.99 (~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[225, 1431])).
% 0.65/0.99 tff(1433,plain,
% 0.65/0.99 (p401(X!0)),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[801, 1432, 1413, 174, 116, 173, 2, 117, 119])).
% 0.65/0.99 tff(1434,plain,
% 0.65/0.99 ($false),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[114, 1433, 1430])).
% 0.65/0.99 tff(1435,plain,(p201(X!0) | p605(X!0) | p601(X!0) | p604(X!0) | p202(X!0) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | p302(X!0) | p502(X!0) | p402(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.65/0.99 tff(1436,plain,
% 0.65/0.99 (p201(X!0)),
% 0.65/0.99 inference(unit_resolution,[status(thm)],[1435, 1247, 116, 173, 117, 119, 174, 1243, 118, 1242])).
% 0.65/0.99 tff(1437,plain,
% 0.65/0.99 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p303(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(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] : ((~p302(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] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, 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(~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(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)) | (~((~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)))) | (~p604(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)) | (~((~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_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)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(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_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(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)) | (~((~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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))) | ![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))),
% 0.65/1.00 inference(tautology,[status(thm)],[])).
% 0.65/1.00 tff(1446,plain,
% 0.65/1.00 (![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1445, 48])).
% 0.65/1.00 tff(1447,plain,
% 0.65/1.00 (((~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | ((~r1(X!0, X!0)) | (~p201(X!0)) | (~p301(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~r1(X!0, X!0)) | (~p201(X!0)) | (~p301(X!0)))),
% 0.65/1.00 inference(rewrite,[status(thm)],[])).
% 0.65/1.00 tff(1448,plain,
% 0.65/1.00 (((~r1(X!0, X!0)) | (~p301(X!0)) | (~p201(X!0))) <=> ((~r1(X!0, X!0)) | (~p201(X!0)) | (~p301(X!0)))),
% 0.65/1.00 inference(rewrite,[status(thm)],[])).
% 0.65/1.00 tff(1449,plain,
% 0.65/1.00 (((~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | ((~r1(X!0, X!0)) | (~p301(X!0)) | (~p201(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | ((~r1(X!0, X!0)) | (~p201(X!0)) | (~p301(X!0))))),
% 0.65/1.00 inference(monotonicity,[status(thm)],[1448])).
% 0.65/1.00 tff(1450,plain,
% 0.65/1.00 (((~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | ((~r1(X!0, X!0)) | (~p301(X!0)) | (~p201(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~r1(X!0, X!0)) | (~p201(X!0)) | (~p301(X!0)))),
% 0.65/1.00 inference(transitivity,[status(thm)],[1449, 1447])).
% 0.65/1.00 tff(1451,plain,
% 0.65/1.00 ((~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | ((~r1(X!0, X!0)) | (~p301(X!0)) | (~p201(X!0)))),
% 0.65/1.00 inference(quant_inst,[status(thm)],[])).
% 0.65/1.00 tff(1452,plain,
% 0.65/1.00 ((~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~r1(X!0, X!0)) | (~p201(X!0)) | (~p301(X!0))),
% 0.65/1.00 inference(modus_ponens,[status(thm)],[1451, 1450])).
% 0.65/1.00 tff(1453,plain,
% 0.65/1.00 ((~p201(X!0)) | (~p301(X!0))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1452, 13, 1446])).
% 0.65/1.00 tff(1454,plain,
% 0.65/1.00 (~p301(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1453, 1436])).
% 0.65/1.00 tff(1455,plain,
% 0.65/1.00 (p303(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[488, 260, 429, 3, 308])).
% 0.65/1.00 tff(1456,plain,
% 0.65/1.00 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1047, 1455])).
% 0.65/1.00 tff(1457,plain,
% 0.65/1.00 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1002, 1456])).
% 0.65/1.00 tff(1458,plain,
% 0.65/1.00 (~p403(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[413, 1455])).
% 0.65/1.00 tff(1459,plain,
% 0.65/1.00 (~p503(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[687, 260, 173, 3, 174, 116, 308])).
% 0.65/1.00 tff(1460,assumption,(~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))), introduced(assumption)).
% 0.65/1.00 tff(1461,plain,
% 0.65/1.00 (~p504(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[352, 431])).
% 0.65/1.00 tff(1462,plain,
% 0.65/1.00 (p505(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[132, 1461, 118, 1, 261])).
% 0.65/1.00 tff(1463,plain,
% 0.65/1.00 (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1271, 1462])).
% 0.65/1.00 tff(1464,plain,
% 0.65/1.00 (~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[203, 1463])).
% 0.65/1.00 tff(1465,plain,
% 0.65/1.00 ($false),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[970, 1464, 1031, 1223, 265, 1460])).
% 0.65/1.00 tff(1466,plain,((~p404(X!0)) | p101(X!0) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y))) | p502(X!0) | p501(X!0) | p503(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.65/1.00 tff(1467,plain,
% 0.65/1.00 (~p404(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1466, 1457, 265, 939, 118, 1, 1459])).
% 0.65/1.00 tff(1468,plain,
% 0.65/1.00 (![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[358, 1467, 339, 264, 1458])).
% 0.65/1.00 tff(1469,plain,
% 0.65/1.00 (p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[225, 1468])).
% 0.65/1.00 tff(1470,plain,
% 0.65/1.00 (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1370, 1469])).
% 0.65/1.00 tff(1471,plain,
% 0.65/1.00 (~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[203, 1470])).
% 0.65/1.00 tff(1472,plain,
% 0.65/1.00 (![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[970, 1471, 939, 265, 1457])).
% 0.65/1.00 tff(1473,plain,
% 0.65/1.00 (~p505(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[401, 1469])).
% 0.65/1.00 tff(1474,plain,
% 0.65/1.00 (p504(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[132, 1473, 118, 1, 1459])).
% 0.65/1.00 tff(1475,plain,
% 0.65/1.00 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[951, 1474])).
% 0.65/1.00 tff(1476,plain,
% 0.65/1.00 (r1(X!0, tptp_fun_Y_9(X!0))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[953, 1475])).
% 0.65/1.00 tff(1477,plain,
% 0.65/1.00 (~p104(tptp_fun_Y_9(X!0))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[955, 1475])).
% 0.65/1.00 tff(1478,plain,
% 0.65/1.00 ($false),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[964, 1477, 1476, 1472])).
% 0.65/1.00 tff(1479,plain,(![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | p502(X!0) | p501(X!0) | p402(X!0) | p401(X!0) | p604(X!0) | p301(X!0) | p605(X!0) | p601(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | p302(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.65/1.00 tff(1480,plain,
% 0.65/1.00 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1479, 308, 118, 1, 339, 264, 173, 3, 174, 116, 265, 429])).
% 0.65/1.00 tff(1481,plain,
% 0.65/1.00 (p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[258, 1480])).
% 0.65/1.00 tff(1482,plain,
% 0.65/1.00 (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[537, 1481])).
% 0.65/1.00 tff(1483,plain,
% 0.65/1.00 (~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[225, 1482])).
% 0.65/1.00 tff(1484,plain,
% 0.65/1.00 (~p505(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[453, 1481])).
% 0.65/1.00 tff(1485,plain,
% 0.65/1.00 (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1279, 1481])).
% 0.65/1.00 tff(1486,plain,
% 0.65/1.00 (~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[203, 1485])).
% 0.65/1.00 tff(1487,plain,
% 0.65/1.00 (~p503(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1233, 1486, 265, 939, 339, 264, 1483])).
% 0.65/1.00 tff(1488,plain,
% 0.65/1.00 (p504(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[132, 1487, 118, 1, 1484])).
% 0.65/1.00 tff(1489,plain,
% 0.65/1.00 (~p404(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[352, 1488])).
% 0.65/1.00 tff(1490,plain,
% 0.65/1.00 (p403(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[358, 1489, 339, 264, 1483])).
% 0.65/1.00 tff(1491,plain,
% 0.65/1.00 (![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1342, 1490, 265, 3, 429, 308, 939])).
% 0.65/1.00 tff(1492,plain,
% 0.65/1.00 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[951, 1488])).
% 0.65/1.00 tff(1493,plain,
% 0.65/1.00 (r1(X!0, tptp_fun_Y_9(X!0))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[953, 1492])).
% 0.65/1.00 tff(1494,plain,
% 0.65/1.00 (~p104(tptp_fun_Y_9(X!0))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[955, 1492])).
% 0.65/1.00 tff(1495,plain,
% 0.65/1.00 ($false),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[964, 1494, 1493, 1491])).
% 0.65/1.00 tff(1496,plain,(![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | p301(X!0) | p302(X!0) | p402(X!0) | p401(X!0) | p502(X!0) | p501(X!0) | p604(X!0) | p605(X!0) | p601(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.65/1.00 tff(1497,plain,
% 0.65/1.00 (![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1496, 1247, 1454, 1243, 1242, 1444, 118, 1443, 173, 174, 116])).
% 0.65/1.00 tff(1498,plain,
% 0.65/1.00 ((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[547, 1497])).
% 0.65/1.00 tff(1499,plain,
% 0.65/1.00 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1073, 1498])).
% 0.65/1.00 tff(1500,plain,
% 0.65/1.00 (r1(X!0, tptp_fun_Y_9(X!0))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[953, 1499])).
% 0.65/1.00 tff(1501,plain,
% 0.65/1.00 (~p104(tptp_fun_Y_9(X!0))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[955, 1499])).
% 0.65/1.00 tff(1502,plain,
% 0.65/1.00 (~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[964, 1501, 1500])).
% 0.65/1.00 tff(1503,plain,
% 0.65/1.00 (~p504(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[559, 1498])).
% 0.65/1.00 tff(1504,plain,
% 0.65/1.00 (~p404(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[469, 1498])).
% 0.65/1.00 tff(1505,plain,
% 0.65/1.00 (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[401, 1320])).
% 0.65/1.00 tff(1506,plain,
% 0.65/1.00 (~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[225, 1505])).
% 0.65/1.00 tff(1507,plain,
% 0.65/1.00 (p403(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[358, 1506, 339, 264, 571])).
% 0.65/1.00 tff(1508,plain,
% 0.65/1.00 ($false),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1094, 1324, 1507])).
% 0.65/1.00 tff(1509,plain,((~p505(X!0)) | p402(X!0) | p401(X!0) | p404(X!0) | p101(X!0) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.65/1.00 tff(1510,plain,
% 0.65/1.00 (~p505(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1509, 1242, 1444, 1504, 939, 1247, 1502])).
% 0.65/1.00 tff(1511,plain,
% 0.65/1.00 (p503(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[132, 1510, 118, 1443, 1503])).
% 0.65/1.00 tff(1512,plain,
% 0.65/1.00 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1212, 1511])).
% 0.65/1.00 tff(1513,plain,
% 0.65/1.00 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1002, 1512])).
% 0.65/1.00 tff(1514,plain,
% 0.65/1.00 (![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[970, 1513, 939, 1247, 1502])).
% 0.65/1.00 tff(1515,plain,
% 0.65/1.00 (~p403(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[499, 1511])).
% 0.65/1.00 tff(1516,plain,
% 0.65/1.00 (![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[358, 1515, 1242, 1444, 1504])).
% 0.65/1.00 tff(1517,plain,
% 0.65/1.00 (p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[225, 1516])).
% 0.65/1.00 tff(1518,plain,
% 0.65/1.00 (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1370, 1517])).
% 0.65/1.00 tff(1519,plain,
% 0.65/1.00 ($false),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[203, 1518, 1514])).
% 0.65/1.00 tff(1520,plain,((~p602(X!0)) | p502(X!0) | p604(X!0) | p605(X!0) | p601(X!0) | p202(X!0) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.65/1.00 tff(1521,plain,
% 0.65/1.00 (~p602(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1520, 119, 173, 174, 116, 117, 118])).
% 0.65/1.00 tff(1522,plain,
% 0.65/1.00 (p603(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[342, 1521, 174, 116, 173])).
% 0.65/1.00 tff(1523,plain,
% 0.65/1.00 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[700, 1522])).
% 0.65/1.00 tff(1524,plain,
% 0.65/1.00 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[76, 1523])).
% 0.65/1.00 tff(1525,plain,
% 0.65/1.00 (~p503(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[442, 1522])).
% 0.65/1.00 tff(1526,assumption,((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0))), introduced(assumption)).
% 0.65/1.00 tff(1527,plain,
% 0.65/1.00 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1279, 1526])).
% 0.65/1.00 tff(1528,plain,
% 0.65/1.00 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[258, 1527])).
% 0.65/1.00 tff(1529,plain,
% 0.65/1.00 (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1370, 1526])).
% 0.65/1.00 tff(1530,plain,
% 0.65/1.00 (~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[225, 1529])).
% 0.65/1.00 tff(1531,plain,
% 0.65/1.00 (~p403(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[365, 1522])).
% 0.65/1.00 tff(1532,plain,
% 0.65/1.00 (~p505(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1271, 1526])).
% 0.65/1.00 tff(1533,plain,
% 0.65/1.00 (p504(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[132, 88, 118, 261, 120])).
% 0.65/1.00 tff(1534,plain,
% 0.65/1.00 (![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[168, 105, 119, 117, 728])).
% 0.65/1.00 tff(1535,plain,
% 0.65/1.00 ((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[162, 1534])).
% 0.65/1.00 tff(1536,plain,
% 0.65/1.00 ($false),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[789, 1535, 1533])).
% 0.65/1.00 tff(1537,plain,((~p401(X!0)) | p502(X!0) | p503(X!0) | p505(X!0) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p202(X!0) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.65/1.00 tff(1538,plain,
% 0.65/1.00 (~p401(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1537, 1532, 1525, 118, 119, 117, 1524])).
% 0.65/1.00 tff(1539,plain,
% 0.65/1.00 (~p504(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[367, 264, 338, 339, 174, 116, 263])).
% 0.65/1.00 tff(1540,plain,
% 0.65/1.00 (p501(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[132, 1539, 118, 261, 120])).
% 0.65/1.00 tff(1541,plain,
% 0.65/1.00 (~p201(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1442, 1540])).
% 0.65/1.00 tff(1542,plain,
% 0.65/1.00 (p404(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[358, 264, 803, 263, 339])).
% 0.65/1.00 tff(1543,plain,
% 0.65/1.00 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[725, 1542])).
% 0.65/1.00 tff(1544,plain,
% 0.65/1.00 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[162, 1543])).
% 0.65/1.00 tff(1545,plain,
% 0.65/1.00 ($false),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[168, 1544, 1541, 119, 117, 728])).
% 0.65/1.00 tff(1546,plain,(p401(X!0) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p202(X!0) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | p502(X!0) | p503(X!0) | p505(X!0) | p403(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p402(X!0) | p602(X!0) | p605(X!0) | p601(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.65/1.00 tff(1547,plain,
% 0.65/1.00 (p402(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1546, 1538, 117, 1524, 118, 1525, 1532, 1531, 1530, 119, 1521, 174, 116])).
% 0.65/1.00 tff(1548,plain,
% 0.65/1.00 (~p302(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[634, 1547])).
% 0.65/1.00 tff(1549,plain,
% 0.65/1.00 (~p303(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[388, 1522])).
% 0.65/1.00 tff(1550,assumption,(p501(X!0)), introduced(assumption)).
% 0.65/1.00 tff(1551,plain,
% 0.65/1.00 (~p201(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1442, 1550])).
% 0.65/1.00 tff(1552,plain,
% 0.65/1.00 (![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[168, 1551, 119, 117, 728])).
% 0.65/1.00 tff(1553,plain,
% 0.65/1.00 ((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[162, 1552])).
% 0.65/1.00 tff(1554,plain,
% 0.65/1.00 (~p301(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1015, 1550])).
% 0.65/1.00 tff(1555,plain,
% 0.65/1.00 (![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[488, 1554, 457, 429, 260])).
% 0.65/1.00 tff(1556,plain,
% 0.65/1.00 ((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[547, 1555])).
% 0.65/1.00 tff(1557,plain,
% 0.65/1.00 ($false),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[891, 1556, 1553])).
% 0.65/1.00 tff(1558,plain,((~p501(X!0)) | p303(X!0) | p302(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p202(X!0) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.65/1.00 tff(1559,plain,
% 0.65/1.00 (~p501(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1558, 1548, 1549, 1528, 119, 117, 1524])).
% 0.65/1.00 tff(1560,plain,
% 0.65/1.00 (p201(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[830, 1559, 117, 119, 1538, 1531, 1532, 1530, 174, 116, 173])).
% 0.65/1.00 tff(1561,plain,
% 0.65/1.00 (~p301(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1453, 1560])).
% 0.65/1.00 tff(1562,plain,
% 0.65/1.00 (p504(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[132, 1559, 118, 1525, 1532])).
% 0.65/1.00 tff(1563,plain,
% 0.65/1.00 (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[559, 1562])).
% 0.65/1.00 tff(1564,plain,
% 0.65/1.00 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[547, 1563])).
% 0.65/1.00 tff(1565,plain,
% 0.65/1.00 ($false),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[488, 1564, 1561, 1549, 1548, 1528])).
% 0.65/1.00 tff(1566,plain,((~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | p202(X!0) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p605(X!0) | p601(X!0) | p604(X!0) | p502(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.65/1.00 tff(1567,plain,
% 0.65/1.00 (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1566, 119, 117, 174, 116, 173, 118])).
% 0.65/1.00 tff(1568,plain,
% 0.65/1.00 (~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[203, 1567])).
% 0.65/1.00 tff(1569,plain,
% 0.65/1.00 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[986, 1522])).
% 0.65/1.00 tff(1570,plain,
% 0.65/1.00 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1002, 1569])).
% 0.65/1.00 tff(1571,plain,
% 0.65/1.00 (p504(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[132, 120, 118, 261, 1])).
% 0.65/1.00 tff(1572,plain,
% 0.65/1.00 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[789, 1571])).
% 0.65/1.00 tff(1573,plain,
% 0.65/1.00 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[162, 1572])).
% 0.65/1.00 tff(1574,plain,
% 0.65/1.00 (p201(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[168, 1573, 119, 117, 728])).
% 0.65/1.00 tff(1575,plain,
% 0.65/1.00 (~p301(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1453, 1574])).
% 0.65/1.00 tff(1576,plain,
% 0.65/1.00 (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[559, 1571])).
% 0.65/1.00 tff(1577,plain,
% 0.65/1.00 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[547, 1576])).
% 0.65/1.00 tff(1578,plain,
% 0.65/1.00 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[951, 1571])).
% 0.65/1.00 tff(1579,plain,
% 0.65/1.00 (r1(X!0, tptp_fun_Y_9(X!0))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[953, 1578])).
% 0.65/1.00 tff(1580,plain,
% 0.65/1.00 (~p104(tptp_fun_Y_9(X!0))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[955, 1578])).
% 0.65/1.00 tff(1581,plain,
% 0.65/1.00 (~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[964, 1580, 1579])).
% 0.65/1.00 tff(1582,plain,
% 0.65/1.00 (![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[970, 1581, 939, 1460, 262])).
% 0.65/1.00 tff(1583,plain,
% 0.65/1.00 ((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1126, 1582])).
% 0.65/1.00 tff(1584,plain,
% 0.65/1.00 (~p302(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1167, 1583])).
% 0.65/1.00 tff(1585,plain,
% 0.65/1.00 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[488, 1584, 457, 1577, 1575])).
% 0.65/1.00 tff(1586,plain,
% 0.65/1.00 (p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[258, 1585])).
% 0.65/1.00 tff(1587,plain,
% 0.65/1.00 (~p402(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1139, 1583])).
% 0.65/1.00 tff(1588,plain,
% 0.65/1.00 (![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1546, 1587, 117, 728, 118, 261, 264, 803, 120, 119, 338, 174, 116])).
% 0.65/1.00 tff(1589,plain,
% 0.65/1.00 (p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[225, 1588])).
% 0.65/1.00 tff(1590,plain,
% 0.65/1.00 ($false),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[537, 1589, 1586])).
% 0.65/1.00 tff(1591,plain,(p505(X!0) | p202(X!0) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | p502(X!0) | p503(X!0) | p401(X!0) | p403(X!0) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p602(X!0) | p605(X!0) | p601(X!0) | p303(X!0) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | p501(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.65/1.00 tff(1592,plain,
% 0.65/1.00 (p505(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1591, 1, 728, 118, 261, 264, 803, 119, 338, 174, 116, 457, 1460, 262, 117])).
% 0.65/1.00 tff(1593,plain,
% 0.65/1.00 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[453, 1592])).
% 0.65/1.00 tff(1594,plain,
% 0.65/1.00 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[258, 1593])).
% 0.65/1.00 tff(1595,plain,
% 0.65/1.00 (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[401, 1592])).
% 0.65/1.00 tff(1596,plain,
% 0.65/1.00 (~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[225, 1595])).
% 0.65/1.00 tff(1597,plain,
% 0.65/1.00 (![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[970, 265, 1223, 1460, 262])).
% 0.65/1.00 tff(1598,plain,
% 0.65/1.00 (~p404(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1466, 265, 1460, 1223, 118, 1, 261])).
% 0.65/1.00 tff(1599,plain,
% 0.65/1.00 (p402(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[358, 1598, 803, 263, 264])).
% 0.65/1.00 tff(1600,plain,
% 0.65/1.00 (~p302(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[634, 1599])).
% 0.65/1.00 tff(1601,plain,
% 0.65/1.00 (p301(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[488, 1600, 457, 260, 308])).
% 0.65/1.00 tff(1602,plain,
% 0.65/1.00 (~p201(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1453, 1601])).
% 0.65/1.00 tff(1603,plain,
% 0.65/1.00 (![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[168, 1602, 119, 117, 728])).
% 0.65/1.00 tff(1604,plain,
% 0.65/1.00 ((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[162, 1603])).
% 0.65/1.00 tff(1605,plain,
% 0.65/1.00 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1314, 1604])).
% 0.65/1.00 tff(1606,plain,
% 0.65/1.00 (r1(X!0, tptp_fun_Y_9(X!0))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[953, 1605])).
% 0.65/1.00 tff(1607,plain,
% 0.65/1.00 (~p104(tptp_fun_Y_9(X!0))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[955, 1605])).
% 0.65/1.00 tff(1608,plain,
% 0.65/1.00 ($false),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[964, 1607, 1606, 1597])).
% 0.65/1.00 tff(1609,plain,(![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p202(X!0) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | p303(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | p403(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p401(X!0) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y))) | p101(X!0) | p502(X!0) | p501(X!0) | p503(X!0) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.65/1.00 tff(1610,plain,
% 0.65/1.00 (![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1609, 308, 117, 728, 457, 260, 119, 803, 263, 264, 1460, 1223, 118, 1, 261, 262])).
% 0.65/1.00 tff(1611,plain,
% 0.65/1.00 ((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1126, 1610])).
% 0.65/1.00 tff(1612,plain,
% 0.65/1.00 (~p402(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1139, 1611])).
% 0.65/1.00 tff(1613,plain,
% 0.65/1.00 (p404(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[358, 1612, 803, 263, 264])).
% 0.65/1.00 tff(1614,plain,
% 0.65/1.00 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[725, 1613])).
% 0.65/1.00 tff(1615,plain,
% 0.65/1.00 (~p302(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1167, 1611])).
% 0.65/1.00 tff(1616,plain,
% 0.65/1.00 (p301(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[488, 1615, 457, 260, 308])).
% 0.65/1.00 tff(1617,plain,
% 0.65/1.00 (~p201(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1453, 1616])).
% 0.65/1.00 tff(1618,plain,
% 0.65/1.00 (![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[168, 1617, 119, 117, 728])).
% 0.65/1.00 tff(1619,plain,
% 0.65/1.00 ($false),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[162, 1618, 1614])).
% 0.65/1.00 tff(1620,plain,(![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p202(X!0) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | p403(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p401(X!0) | p303(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y))) | p101(X!0) | p502(X!0) | p501(X!0) | p503(X!0) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.65/1.00 tff(1621,plain,
% 0.65/1.00 (![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1620, 1596, 117, 728, 803, 119, 264, 457, 1594, 1460, 939, 118, 1, 261, 262])).
% 0.65/1.00 tff(1622,plain,
% 0.65/1.00 ((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[547, 1621])).
% 0.65/1.00 tff(1623,plain,
% 0.65/1.00 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1073, 1622])).
% 0.65/1.00 tff(1624,plain,
% 0.65/1.00 (r1(X!0, tptp_fun_Y_9(X!0))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[953, 1623])).
% 0.65/1.00 tff(1625,plain,
% 0.65/1.00 (~p104(tptp_fun_Y_9(X!0))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[955, 1623])).
% 0.65/1.00 tff(1626,plain,
% 0.65/1.00 (~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[964, 1625, 1624])).
% 0.65/1.00 tff(1627,plain,
% 0.65/1.00 (~p404(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[469, 1622])).
% 0.65/1.00 tff(1628,plain,
% 0.65/1.00 (p402(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[358, 1627, 803, 1596, 264])).
% 0.65/1.00 tff(1629,plain,
% 0.65/1.00 (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1139, 1628])).
% 0.65/1.00 tff(1630,plain,
% 0.65/1.00 (~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1126, 1629])).
% 0.65/1.00 tff(1631,plain,
% 0.65/1.00 ($false),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[970, 1630, 1626, 939, 1460, 262])).
% 0.65/1.00 tff(1632,plain,(p501(X!0) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | p403(X!0) | p401(X!0) | p202(X!0) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p303(X!0) | p502(X!0) | p503(X!0) | p602(X!0) | p605(X!0) | p601(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.65/1.00 tff(1633,plain,
% 0.65/1.00 (p501(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1632, 264, 262, 803, 1460, 117, 728, 119, 457, 118, 261, 338, 174, 116])).
% 0.65/1.00 tff(1634,plain,
% 0.65/1.00 (~p201(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1442, 1633])).
% 0.65/1.00 tff(1635,plain,
% 0.65/1.00 (![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[168, 1634, 119, 117, 728])).
% 0.65/1.00 tff(1636,plain,
% 0.65/1.00 ((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[162, 1635])).
% 0.65/1.00 tff(1637,plain,
% 0.65/1.00 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1314, 1636])).
% 0.65/1.00 tff(1638,plain,
% 0.65/1.00 (r1(X!0, tptp_fun_Y_9(X!0))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[953, 1637])).
% 0.65/1.00 tff(1639,plain,
% 0.65/1.00 (~p104(tptp_fun_Y_9(X!0))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[955, 1637])).
% 0.65/1.00 tff(1640,plain,
% 0.65/1.00 (~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[964, 1639, 1638])).
% 0.65/1.00 tff(1641,plain,
% 0.65/1.00 (![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[970, 1640, 939, 1460, 262])).
% 0.65/1.00 tff(1642,plain,
% 0.65/1.00 ((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1126, 1641])).
% 0.65/1.00 tff(1643,plain,
% 0.65/1.00 (~p302(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1167, 1642])).
% 0.65/1.00 tff(1644,plain,
% 0.65/1.00 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1558, 1643, 457, 1633, 119, 117, 728])).
% 0.65/1.00 tff(1645,plain,
% 0.65/1.00 (p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[258, 1644])).
% 0.65/1.00 tff(1646,plain,
% 0.65/1.00 (~p404(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[725, 1636])).
% 0.65/1.00 tff(1647,plain,
% 0.65/1.00 (~p402(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1139, 1642])).
% 0.65/1.00 tff(1648,plain,
% 0.65/1.00 (![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[358, 1647, 803, 1646, 264])).
% 0.65/1.00 tff(1649,plain,
% 0.65/1.00 (p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[225, 1648])).
% 0.65/1.00 tff(1650,plain,
% 0.65/1.00 ($false),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[537, 1649, 1645])).
% 0.65/1.00 tff(1651,plain,(p401(X!0) | p403(X!0) | p303(X!0) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p202(X!0) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | p502(X!0) | p503(X!0) | p602(X!0) | p605(X!0) | p601(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.65/1.00 tff(1652,plain,
% 0.65/1.00 (p401(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1651, 1531, 1549, 119, 117, 1524, 1570, 1568, 118, 1525, 1521, 174, 116])).
% 0.65/1.00 tff(1653,plain,
% 0.65/1.00 (p505(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1537, 1652, 1525, 118, 119, 117, 1524])).
% 0.65/1.00 tff(1654,plain,
% 0.65/1.00 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[453, 1653])).
% 0.65/1.00 tff(1655,plain,
% 0.65/1.00 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[258, 1654])).
% 0.65/1.00 tff(1656,plain,
% 0.65/1.00 (~p301(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[114, 1652])).
% 0.65/1.00 tff(1657,plain,
% 0.65/1.00 (~p201(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[104, 1652])).
% 0.65/1.00 tff(1658,plain,
% 0.65/1.00 (![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[168, 1657, 119, 117, 1524])).
% 0.65/1.00 tff(1659,plain,
% 0.65/1.00 ((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[162, 1658])).
% 0.65/1.00 tff(1660,plain,
% 0.65/1.00 (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[891, 1659])).
% 0.65/1.00 tff(1661,plain,
% 0.65/1.00 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[547, 1660])).
% 0.65/1.00 tff(1662,plain,
% 0.65/1.00 (p302(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[488, 1661, 1549, 1656, 1655])).
% 0.65/1.00 tff(1663,plain,
% 0.65/1.00 (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1167, 1662])).
% 0.65/1.00 tff(1664,plain,
% 0.65/1.00 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1314, 1659])).
% 0.65/1.00 tff(1665,plain,
% 0.65/1.00 (r1(X!0, tptp_fun_Y_9(X!0))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[953, 1664])).
% 0.65/1.00 tff(1666,plain,
% 0.65/1.00 (~p104(tptp_fun_Y_9(X!0))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[955, 1664])).
% 0.65/1.00 tff(1667,plain,
% 0.65/1.00 (~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[964, 1666, 1665])).
% 0.65/1.00 tff(1668,plain,
% 0.65/1.00 (![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[970, 1667, 939, 1570, 1568])).
% 0.65/1.00 tff(1669,plain,
% 0.65/1.00 ($false),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1126, 1668, 1663])).
% 0.65/1.00 tff(1670,plain,(![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p202(X!0) | p502(X!0) | p605(X!0) | p601(X!0) | p604(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.65/1.00 tff(1671,plain,
% 0.65/1.00 (p202(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1670, 1240, 118, 174, 116, 173])).
% 0.65/1.00 tff(1672,plain,
% 0.65/1.00 (~p602(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[322, 1671])).
% 0.65/1.00 tff(1673,plain,
% 0.65/1.00 (p603(X!0)),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[342, 1672, 174, 116, 173])).
% 0.65/1.00 tff(1674,plain,
% 0.65/1.00 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[986, 1673])).
% 0.65/1.00 tff(1675,plain,
% 0.65/1.00 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.65/1.00 inference(unit_resolution,[status(thm)],[1002, 1674])).
% 0.65/1.00 tff(1676,plain,
% 0.65/1.00 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p303(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(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] : ((~p302(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] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(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] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(X)) | (~r1(X!0, 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)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(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))))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p501(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)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, 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(X!0, X)) | (~p101(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(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)) | (~p303(X)) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(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)) | (~((~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)))) | (~p604(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)) | (~((~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_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)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(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_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(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)) | (~((~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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))) | ![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))),
% 0.65/1.01 inference(tautology,[status(thm)],[])).
% 0.65/1.01 tff(1677,plain,
% 0.65/1.01 (![X: $i] : ((~p202(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~r1(X!0, X)))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[1676, 48])).
% 0.65/1.01 tff(1678,plain,
% 0.65/1.01 (((~![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)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p202(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)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p202(X!0)))),
% 0.65/1.01 inference(rewrite,[status(thm)],[])).
% 0.65/1.01 tff(1679,plain,
% 0.65/1.01 (((~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)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p202(X!0)))),
% 0.65/1.01 inference(rewrite,[status(thm)],[])).
% 0.65/1.01 tff(1680,plain,
% 0.65/1.01 (((~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)))),
% 0.65/1.01 inference(monotonicity,[status(thm)],[1132])).
% 0.65/1.01 tff(1681,plain,
% 0.65/1.01 (((~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)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p202(X!0)))),
% 0.65/1.01 inference(transitivity,[status(thm)],[1680, 1679])).
% 0.65/1.01 tff(1682,plain,
% 0.65/1.01 (((~![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)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p202(X!0))))),
% 0.65/1.01 inference(monotonicity,[status(thm)],[1681])).
% 0.65/1.01 tff(1683,plain,
% 0.65/1.01 (((~![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)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p202(X!0)))),
% 0.65/1.01 inference(transitivity,[status(thm)],[1682, 1678])).
% 0.65/1.01 tff(1684,plain,
% 0.65/1.01 ((~![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)))),
% 0.65/1.01 inference(quant_inst,[status(thm)],[])).
% 0.65/1.01 tff(1685,plain,
% 0.65/1.01 ((~![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)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p202(X!0))),
% 0.65/1.01 inference(modus_ponens,[status(thm)],[1684, 1683])).
% 0.65/1.01 tff(1686,plain,
% 0.65/1.01 ((~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p202(X!0))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[1685, 13, 1677])).
% 0.65/1.01 tff(1687,plain,
% 0.65/1.01 (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[1686, 1671])).
% 0.65/1.01 tff(1688,plain,
% 0.65/1.01 (~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[1126, 1687])).
% 0.65/1.01 tff(1689,plain,
% 0.65/1.01 (~p402(X!0)),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[315, 1671])).
% 0.65/1.01 tff(1690,plain,
% 0.65/1.01 (~p403(X!0)),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[365, 1673])).
% 0.65/1.01 tff(1691,plain,
% 0.65/1.01 (~p503(X!0)),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[442, 1673])).
% 0.65/1.01 tff(1692,assumption,(p301(X!0)), introduced(assumption)).
% 0.65/1.01 tff(1693,plain,
% 0.65/1.01 (~p401(X!0)),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[114, 1692])).
% 0.65/1.01 tff(1694,plain,
% 0.65/1.01 (~p501(X!0)),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[1015, 1692])).
% 0.65/1.01 tff(1695,plain,
% 0.65/1.01 (~p404(X!0)),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[1466, 1694, 265, 1223, 118, 1460, 261])).
% 0.65/1.01 tff(1696,plain,
% 0.65/1.01 (![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[358, 1695, 803, 339, 1693])).
% 0.65/1.01 tff(1697,plain,
% 0.65/1.01 (p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0)))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[225, 1696])).
% 0.65/1.01 tff(1698,plain,
% 0.65/1.01 (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[1370, 1697])).
% 0.65/1.01 tff(1699,plain,
% 0.65/1.01 (~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[203, 1698])).
% 0.65/1.01 tff(1700,plain,
% 0.65/1.01 (![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[970, 1699, 1223, 265, 1460])).
% 0.65/1.01 tff(1701,plain,
% 0.65/1.01 (~p505(X!0)),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[401, 1697])).
% 0.65/1.01 tff(1702,plain,
% 0.65/1.01 (p504(X!0)),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[132, 1701, 118, 261, 1694])).
% 0.65/1.01 tff(1703,plain,
% 0.65/1.01 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[951, 1702])).
% 0.65/1.01 tff(1704,plain,
% 0.65/1.01 ($false),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[1102, 1703, 1700])).
% 0.65/1.01 tff(1705,plain,((~p301(X!0)) | p101(X!0) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y))) | p502(X!0) | p503(X!0) | p403(X!0) | p402(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.65/1.01 tff(1706,plain,
% 0.65/1.01 (~p301(X!0)),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[1705, 1688, 939, 1675, 118, 1691, 1690, 1689])).
% 0.65/1.01 tff(1707,plain,
% 0.65/1.01 (~p302(X!0)),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[336, 1671])).
% 0.65/1.01 tff(1708,plain,
% 0.65/1.01 (~p303(X!0)),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[388, 1673])).
% 0.65/1.01 tff(1709,assumption,((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0))), introduced(assumption)).
% 0.65/1.01 tff(1710,plain,
% 0.65/1.01 (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[1073, 1709])).
% 0.65/1.01 tff(1711,plain,
% 0.65/1.01 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[547, 1710])).
% 0.65/1.01 tff(1712,plain,
% 0.65/1.01 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[488, 1711, 457, 429, 3])).
% 0.65/1.01 tff(1713,plain,
% 0.65/1.01 (~p404(X!0)),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[1027, 1709])).
% 0.65/1.01 tff(1714,plain,
% 0.65/1.01 (![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[358, 1713, 803, 339, 264])).
% 0.65/1.01 tff(1715,plain,
% 0.65/1.01 (p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0)))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[225, 1714])).
% 0.65/1.01 tff(1716,plain,
% 0.65/1.01 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[537, 1715])).
% 0.65/1.01 tff(1717,plain,
% 0.65/1.01 ($false),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[258, 1716, 1712])).
% 0.65/1.01 tff(1718,plain,((~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))) | p303(X!0) | p302(X!0) | p301(X!0) | p403(X!0) | p402(X!0) | p401(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.65/1.01 tff(1719,plain,
% 0.65/1.01 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[1718, 264, 429, 3, 803, 339, 457])).
% 0.65/1.01 tff(1720,plain,
% 0.65/1.01 (~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[1102, 1719])).
% 0.65/1.01 tff(1721,plain,
% 0.65/1.01 (![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[970, 1720, 1223, 265, 1460])).
% 0.65/1.01 tff(1722,plain,
% 0.65/1.01 ((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[203, 1721])).
% 0.65/1.01 tff(1723,plain,
% 0.65/1.01 (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[1370, 1722])).
% 0.65/1.01 tff(1724,plain,
% 0.65/1.01 (~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[225, 1723])).
% 0.65/1.01 tff(1725,plain,
% 0.65/1.01 (p404(X!0)),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[358, 1724, 803, 339, 264])).
% 0.65/1.01 tff(1726,plain,
% 0.65/1.01 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[1279, 1722])).
% 0.65/1.01 tff(1727,plain,
% 0.65/1.01 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[258, 1726])).
% 0.65/1.01 tff(1728,plain,
% 0.65/1.01 (![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[488, 1727, 457, 429, 3])).
% 0.65/1.01 tff(1729,plain,
% 0.65/1.01 ((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[547, 1728])).
% 0.65/1.01 tff(1730,plain,
% 0.65/1.01 ($false),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[469, 1729, 1725])).
% 0.65/1.01 tff(1731,plain,(p401(X!0) | p403(X!0) | p402(X!0) | p303(X!0) | p302(X!0) | p301(X!0) | p101(X!0) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.65/1.01 tff(1732,plain,
% 0.65/1.01 (p401(X!0)),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[1731, 1690, 1689, 1708, 1707, 1706, 939, 1688, 1675])).
% 0.65/1.01 tff(1733,plain,
% 0.65/1.01 (~p501(X!0)),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[87, 1732])).
% 0.65/1.01 tff(1734,assumption,(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0)))), introduced(assumption)).
% 0.65/1.01 tff(1735,plain,
% 0.65/1.01 (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[1279, 1734])).
% 0.65/1.01 tff(1736,plain,
% 0.65/1.01 (~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[203, 1735])).
% 0.65/1.01 tff(1737,plain,
% 0.65/1.01 (![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[970, 1736, 1223, 265, 1460])).
% 0.65/1.01 tff(1738,plain,
% 0.65/1.01 (~p505(X!0)),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[453, 1734])).
% 0.65/1.01 tff(1739,plain,
% 0.65/1.01 (p504(X!0)),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[132, 1738, 118, 261, 1])).
% 0.65/1.01 tff(1740,plain,
% 0.65/1.01 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[951, 1739])).
% 0.65/1.01 tff(1741,plain,
% 0.65/1.01 ($false),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[1102, 1740, 1737])).
% 0.65/1.01 tff(1742,plain,((~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))) | p101(X!0) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y))) | p502(X!0) | p503(X!0) | p501(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.65/1.01 tff(1743,plain,
% 0.65/1.01 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[1742, 1688, 939, 1675, 118, 1691, 1733])).
% 0.65/1.01 tff(1744,plain,
% 0.65/1.01 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[258, 1743])).
% 0.65/1.01 tff(1745,plain,
% 0.65/1.01 (![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[488, 1744, 1708, 1707, 1706])).
% 0.65/1.01 tff(1746,plain,
% 0.65/1.01 ((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[547, 1745])).
% 0.65/1.01 tff(1747,plain,
% 0.65/1.01 (~p504(X!0)),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[559, 1746])).
% 0.65/1.01 tff(1748,plain,
% 0.65/1.01 (p505(X!0)),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[132, 1747, 118, 1691, 1733])).
% 0.65/1.01 tff(1749,plain,
% 0.65/1.01 (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[1271, 1748])).
% 0.65/1.01 tff(1750,plain,
% 0.65/1.01 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[1073, 1746])).
% 0.65/1.01 tff(1751,plain,
% 0.65/1.01 (~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[1102, 1750])).
% 0.65/1.01 tff(1752,plain,
% 0.65/1.01 (![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[970, 1751, 939, 1688, 1675])).
% 0.65/1.01 tff(1753,plain,
% 0.65/1.01 ($false),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[203, 1752, 1749])).
% 0.65/1.01 tff(1754,plain,(p502(X!0) | p605(X!0) | p601(X!0) | p604(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.65/1.01 tff(1755,plain,
% 0.65/1.01 (p502(X!0)),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[1754, 173, 116, 174])).
% 0.65/1.01 tff(1756,plain,
% 0.65/1.01 (~p602(X!0)),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[749, 1755])).
% 0.65/1.01 tff(1757,plain,
% 0.65/1.01 (p603(X!0)),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[342, 1756, 174, 116, 173])).
% 0.65/1.01 tff(1758,plain,
% 0.65/1.01 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[700, 1757])).
% 0.65/1.01 tff(1759,plain,
% 0.65/1.01 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[76, 1758])).
% 0.65/1.01 tff(1760,plain,
% 0.65/1.01 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[986, 1757])).
% 0.65/1.01 tff(1761,plain,
% 0.65/1.01 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[1002, 1760])).
% 0.65/1.01 tff(1762,plain,
% 0.65/1.01 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p303(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(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] : ((~p302(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] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(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] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(X)) | (~r1(X!0, 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)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(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))))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p501(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)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, 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(X!0, X)) | (~p101(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(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)) | (~p303(X)) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(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)) | (~((~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)))) | (~p604(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)) | (~((~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_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)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(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_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(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)) | (~((~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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))) | ![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))),
% 0.65/1.01 inference(tautology,[status(thm)],[])).
% 0.65/1.01 tff(1763,plain,
% 0.65/1.01 (![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p502(X)) | (~r1(X!0, X)))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[1762, 48])).
% 0.65/1.01 tff(1764,plain,
% 0.65/1.01 (((~![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)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p502(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)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p502(X!0)))),
% 0.65/1.01 inference(rewrite,[status(thm)],[])).
% 0.65/1.01 tff(1765,plain,
% 0.65/1.01 (((~((~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)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p502(X!0)))),
% 0.65/1.01 inference(rewrite,[status(thm)],[])).
% 0.65/1.01 tff(1766,plain,
% 0.65/1.01 (((~((~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)))),
% 0.65/1.01 inference(monotonicity,[status(thm)],[1132])).
% 0.65/1.01 tff(1767,plain,
% 0.65/1.01 (((~((~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)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p502(X!0)))),
% 0.65/1.01 inference(transitivity,[status(thm)],[1766, 1765])).
% 0.65/1.01 tff(1768,plain,
% 0.65/1.01 (((~![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)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p502(X!0))))),
% 0.65/1.01 inference(monotonicity,[status(thm)],[1767])).
% 0.65/1.01 tff(1769,plain,
% 0.65/1.01 (((~![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)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p502(X!0)))),
% 0.65/1.01 inference(transitivity,[status(thm)],[1768, 1764])).
% 0.65/1.01 tff(1770,plain,
% 0.65/1.01 ((~![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)))),
% 0.65/1.01 inference(quant_inst,[status(thm)],[])).
% 0.65/1.01 tff(1771,plain,
% 0.65/1.01 ((~![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)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p502(X!0))),
% 0.65/1.01 inference(modus_ponens,[status(thm)],[1770, 1769])).
% 0.65/1.01 tff(1772,plain,
% 0.65/1.01 ((~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))) | (~p502(X!0))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[1771, 13, 1763])).
% 0.65/1.01 tff(1773,plain,
% 0.65/1.01 (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[1772, 1755])).
% 0.65/1.01 tff(1774,plain,
% 0.65/1.01 (~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[1126, 1773])).
% 0.65/1.01 tff(1775,plain,
% 0.65/1.01 (~p402(X!0)),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[587, 1755])).
% 0.65/1.01 tff(1776,plain,
% 0.65/1.01 (~p403(X!0)),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[365, 1757])).
% 0.65/1.01 tff(1777,plain,
% 0.65/1.01 (~p202(X!0)),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[329, 1755])).
% 0.65/1.01 tff(1778,plain,
% 0.65/1.01 (~p302(X!0)),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[579, 1755])).
% 0.65/1.01 tff(1779,plain,
% 0.65/1.01 (~p303(X!0)),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[388, 1757])).
% 0.65/1.01 tff(1780,plain,
% 0.65/1.01 (p301(X!0)),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[1731, 264, 1775, 1779, 1778, 1776, 939, 1774, 1761])).
% 0.65/1.01 tff(1781,plain,
% 0.65/1.01 (~p201(X!0)),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[1453, 1780])).
% 0.65/1.01 tff(1782,plain,
% 0.65/1.01 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[1314, 1709])).
% 0.65/1.01 tff(1783,plain,
% 0.65/1.01 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[162, 1782])).
% 0.65/1.01 tff(1784,plain,
% 0.65/1.01 (![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[168, 1783, 117, 2, 728])).
% 0.65/1.01 tff(1785,plain,
% 0.65/1.01 (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[213, 1715])).
% 0.65/1.01 tff(1786,plain,
% 0.65/1.01 ($false),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[914, 1785, 1784])).
% 0.65/1.01 tff(1787,plain,((~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))) | p202(X!0) | p201(X!0) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | p403(X!0) | p402(X!0) | p401(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.65/1.01 tff(1788,plain,
% 0.65/1.01 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[1787, 1781, 1777, 1759, 1776, 1775, 264])).
% 0.65/1.01 tff(1789,plain,
% 0.65/1.01 (~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[1102, 1788])).
% 0.65/1.01 tff(1790,plain,
% 0.65/1.01 (![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[970, 1789, 939, 1774, 1761])).
% 0.65/1.01 tff(1791,plain,
% 0.65/1.01 ((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[203, 1790])).
% 0.65/1.01 tff(1792,plain,
% 0.65/1.01 (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[187, 1791])).
% 0.65/1.01 tff(1793,plain,
% 0.65/1.01 (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[1370, 1791])).
% 0.65/1.01 tff(1794,plain,
% 0.65/1.01 (~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[225, 1793])).
% 0.65/1.01 tff(1795,plain,
% 0.65/1.01 (~p501(X!0)),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[1015, 1780])).
% 0.65/1.01 tff(1796,plain,
% 0.65/1.01 (~p505(X!0)),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[1271, 1791])).
% 0.65/1.01 tff(1797,plain,
% 0.65/1.01 (![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[830, 1796, 1777, 1795, 264, 1776, 1781, 1794, 174, 116, 173])).
% 0.65/1.01 tff(1798,plain,
% 0.65/1.01 ($false),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[914, 1797, 1792])).
% 0.65/1.01 tff(1799,plain,(p401(X!0) | p605(X!0) | p601(X!0) | p604(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.65/1.01 tff(1800,plain,
% 0.65/1.01 (p401(X!0)),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[1799, 173, 116, 174])).
% 0.65/1.01 tff(1801,plain,
% 0.65/1.01 (~p201(X!0)),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[104, 1800])).
% 0.65/1.01 tff(1802,plain,
% 0.65/1.01 (~p301(X!0)),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[114, 1800])).
% 0.65/1.01 tff(1803,plain,
% 0.65/1.01 (![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[488, 1528, 457, 429, 3])).
% 0.65/1.01 tff(1804,plain,
% 0.65/1.01 ((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[547, 1803])).
% 0.65/1.01 tff(1805,plain,
% 0.65/1.01 (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[187, 1526])).
% 0.65/1.01 tff(1806,plain,
% 0.65/1.01 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[914, 1805])).
% 0.65/1.01 tff(1807,plain,
% 0.65/1.01 (![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[168, 1806, 117, 2, 728])).
% 0.65/1.01 tff(1808,plain,
% 0.65/1.01 ((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[162, 1807])).
% 0.65/1.01 tff(1809,plain,
% 0.65/1.01 ($false),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[891, 1808, 1804])).
% 0.65/1.01 tff(1810,plain,((~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | p202(X!0) | p201(X!0) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | p303(X!0) | p302(X!0) | p301(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.65/1.01 tff(1811,plain,
% 0.65/1.01 (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[1810, 1777, 1801, 1759, 1779, 1778, 1802])).
% 0.65/1.01 tff(1812,plain,
% 0.65/1.01 (~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[203, 1811])).
% 0.65/1.01 tff(1813,plain,
% 0.65/1.01 (![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[970, 1812, 939, 1774, 1761])).
% 0.65/1.01 tff(1814,plain,
% 0.65/1.01 ((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[1102, 1813])).
% 0.65/1.01 tff(1815,plain,
% 0.65/1.01 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[1314, 1814])).
% 0.65/1.01 tff(1816,plain,
% 0.65/1.01 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[162, 1815])).
% 0.65/1.01 tff(1817,plain,
% 0.65/1.01 (![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[168, 1816, 1777, 1801, 1759])).
% 0.65/1.01 tff(1818,plain,
% 0.65/1.01 (p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0)))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[914, 1817])).
% 0.65/1.01 tff(1819,plain,
% 0.65/1.01 (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[1073, 1814])).
% 0.65/1.01 tff(1820,plain,
% 0.65/1.01 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[547, 1819])).
% 0.65/1.01 tff(1821,plain,
% 0.65/1.01 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[488, 1820, 1779, 1778, 1802])).
% 0.65/1.01 tff(1822,plain,
% 0.65/1.01 (p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0)))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[258, 1821])).
% 0.65/1.01 tff(1823,plain,
% 0.65/1.01 ($false),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[242, 1822, 1818])).
% 0.65/1.01 tff(1824,plain,(p604(X!0) | p601(X!0) | p605(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.65/1.01 tff(1825,plain,
% 0.65/1.01 (p605(X!0)),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[1824, 172, 116])).
% 0.65/1.01 tff(1826,plain,
% 0.65/1.01 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p303(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(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] : ((~p302(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] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(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] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(X)) | (~r1(X!0, 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)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(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))))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p501(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)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, 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(X!0, X)) | (~p101(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(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)) | (~p303(X)) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(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)) | (~((~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)))) | (~p604(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)) | (~((~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_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)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(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_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(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)) | (~((~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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))) | ![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(X)) | (~r1(X!0, X)))),
% 0.65/1.01 inference(tautology,[status(thm)],[])).
% 0.65/1.01 tff(1827,plain,
% 0.65/1.01 (![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(X)) | (~r1(X!0, X)))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[1826, 48])).
% 0.65/1.01 tff(1828,plain,
% 0.65/1.01 (((~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(X)) | (~r1(X!0, X)))) | ((~r1(X!0, X!0)) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))) | (~p605(X!0)))) <=> ((~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~r1(X!0, X!0)) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))) | (~p605(X!0)))),
% 0.65/1.01 inference(rewrite,[status(thm)],[])).
% 0.65/1.01 tff(1829,plain,
% 0.65/1.01 (((~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))) | (~p605(X!0)) | (~r1(X!0, X!0))) <=> ((~r1(X!0, X!0)) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))) | (~p605(X!0)))),
% 0.65/1.01 inference(rewrite,[status(thm)],[])).
% 0.65/1.01 tff(1830,plain,
% 0.65/1.01 (((~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(X)) | (~r1(X!0, X)))) | ((~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))) | (~p605(X!0)) | (~r1(X!0, X!0)))) <=> ((~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(X)) | (~r1(X!0, X)))) | ((~r1(X!0, X!0)) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))) | (~p605(X!0))))),
% 0.65/1.01 inference(monotonicity,[status(thm)],[1829])).
% 0.65/1.01 tff(1831,plain,
% 0.65/1.01 (((~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(X)) | (~r1(X!0, X)))) | ((~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))) | (~p605(X!0)) | (~r1(X!0, X!0)))) <=> ((~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~r1(X!0, X!0)) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))) | (~p605(X!0)))),
% 0.65/1.01 inference(transitivity,[status(thm)],[1830, 1828])).
% 0.65/1.01 tff(1832,plain,
% 0.65/1.01 ((~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(X)) | (~r1(X!0, X)))) | ((~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))) | (~p605(X!0)) | (~r1(X!0, X!0)))),
% 0.65/1.01 inference(quant_inst,[status(thm)],[])).
% 0.65/1.01 tff(1833,plain,
% 0.65/1.01 ((~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~r1(X!0, X!0)) | (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))) | (~p605(X!0))),
% 0.65/1.01 inference(modus_ponens,[status(thm)],[1832, 1831])).
% 0.65/1.01 tff(1834,plain,
% 0.65/1.01 ((~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))) | (~p605(X!0))),
% 0.65/1.01 inference(unit_resolution,[status(thm)],[1833, 13, 1827])).
% 0.65/1.01 tff(1835,plain,
% 0.65/1.01 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[1834, 1825])).
% 0.65/1.02 tff(1836,plain,
% 0.65/1.02 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[258, 1835])).
% 0.65/1.02 tff(1837,assumption,((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0))), introduced(assumption)).
% 0.65/1.02 tff(1838,plain,
% 0.65/1.02 (~p504(X!0)),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[559, 1837])).
% 0.65/1.02 tff(1839,plain,
% 0.65/1.02 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[891, 1837])).
% 0.65/1.02 tff(1840,plain,
% 0.65/1.02 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[162, 1839])).
% 0.65/1.02 tff(1841,plain,
% 0.65/1.02 (![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[168, 1840, 2, 119, 117])).
% 0.65/1.02 tff(1842,plain,
% 0.65/1.02 ((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0))),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[76, 1841])).
% 0.65/1.02 tff(1843,plain,
% 0.65/1.02 (~p503(X!0)),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[60, 1842])).
% 0.65/1.02 tff(1844,plain,
% 0.65/1.02 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[1073, 1837])).
% 0.65/1.02 tff(1845,plain,
% 0.65/1.02 (~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[1102, 1844])).
% 0.65/1.02 tff(1846,plain,
% 0.65/1.02 (p605(X!0)),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[938, 266])).
% 0.65/1.02 tff(1847,plain,
% 0.65/1.02 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p303(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(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] : ((~p302(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] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(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] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(X)) | (~r1(X!0, 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)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(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))))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p501(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)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, 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(X!0, X)) | (~p101(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(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)) | (~p303(X)) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(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)) | (~((~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)))) | (~p604(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)) | (~((~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_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)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(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_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(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)) | (~((~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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))) | ![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))),
% 0.65/1.02 inference(tautology,[status(thm)],[])).
% 0.65/1.02 tff(1848,plain,
% 0.65/1.02 (![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p605(X)) | (~r1(X!0, X)))),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[1847, 48])).
% 0.65/1.02 tff(1849,plain,
% 0.65/1.02 (((~![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)))),
% 0.65/1.02 inference(rewrite,[status(thm)],[])).
% 0.65/1.02 tff(1850,plain,
% 0.65/1.02 (((~(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)))),
% 0.65/1.02 inference(rewrite,[status(thm)],[])).
% 0.65/1.02 tff(1851,plain,
% 0.65/1.02 (((~![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))))),
% 0.65/1.02 inference(monotonicity,[status(thm)],[1850])).
% 0.65/1.02 tff(1852,plain,
% 0.65/1.02 (((~![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)))),
% 0.65/1.02 inference(transitivity,[status(thm)],[1851, 1849])).
% 0.65/1.02 tff(1853,plain,
% 0.65/1.02 ((~![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)))),
% 0.65/1.02 inference(quant_inst,[status(thm)],[])).
% 0.65/1.02 tff(1854,plain,
% 0.65/1.02 ((~![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))),
% 0.65/1.02 inference(modus_ponens,[status(thm)],[1853, 1852])).
% 0.65/1.02 tff(1855,plain,
% 0.65/1.02 ((~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))) | (~p605(X!0))),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[1854, 13, 1848])).
% 0.65/1.02 tff(1856,plain,
% 0.65/1.02 (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[1855, 1846])).
% 0.65/1.02 tff(1857,plain,
% 0.65/1.02 (~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[225, 1856])).
% 0.65/1.02 tff(1858,plain,
% 0.65/1.02 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p303(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(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] : ((~p302(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] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(X)) | (~r1(X!0, 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(~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(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)) | (~((~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)))) | (~p604(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)) | (~((~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_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)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(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_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(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)) | (~((~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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))) | ![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))),
% 0.65/1.02 inference(tautology,[status(thm)],[])).
% 0.65/1.02 tff(1859,plain,
% 0.65/1.02 (![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[1858, 48])).
% 0.65/1.02 tff(1860,plain,
% 0.65/1.02 (((~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | ((~p605(X!0)) | (~r1(X!0, X!0)) | (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))))) <=> ((~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~p605(X!0)) | (~r1(X!0, X!0)) | (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))))),
% 0.65/1.02 inference(rewrite,[status(thm)],[])).
% 0.65/1.02 tff(1861,plain,
% 0.65/1.02 ((~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | ((~p605(X!0)) | (~r1(X!0, X!0)) | (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))))),
% 0.65/1.02 inference(quant_inst,[status(thm)],[])).
% 0.65/1.02 tff(1862,plain,
% 0.65/1.02 ((~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~p605(X!0)) | (~r1(X!0, X!0)) | (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0)))))),
% 0.65/1.02 inference(modus_ponens,[status(thm)],[1861, 1860])).
% 0.65/1.02 tff(1863,plain,
% 0.65/1.02 ((~p605(X!0)) | (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0)))))),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[1862, 13, 1859])).
% 0.65/1.02 tff(1864,plain,
% 0.65/1.02 (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[1863, 1846])).
% 0.65/1.02 tff(1865,plain,
% 0.65/1.02 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[914, 1864])).
% 0.65/1.02 tff(1866,plain,
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tptp_fun_Y_1(X))))) | (~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p501(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)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, 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(X!0, X)) | (~p101(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(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)) | (~p303(X)) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(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)) | (~((~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)))) | (~p604(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)) | (~((~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_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)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(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_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(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)) | (~((~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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))) | ![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))),
% 0.65/1.02 inference(tautology,[status(thm)],[])).
% 0.65/1.02 tff(1867,plain,
% 0.65/1.02 (![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[1866, 48])).
% 0.65/1.02 tff(1868,plain,
% 0.65/1.02 (((~![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)))),
% 0.65/1.02 inference(rewrite,[status(thm)],[])).
% 0.65/1.02 tff(1869,plain,
% 0.65/1.02 ((~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | ((~p505(X!0)) | (~p605(X!0)) | (~r1(X!0, X!0)))),
% 0.65/1.02 inference(quant_inst,[status(thm)],[])).
% 0.65/1.02 tff(1870,plain,
% 0.65/1.02 ((~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~p505(X!0)) | (~p605(X!0)) | (~r1(X!0, X!0))),
% 0.65/1.02 inference(modus_ponens,[status(thm)],[1869, 1868])).
% 0.65/1.02 tff(1871,plain,
% 0.65/1.02 ((~p505(X!0)) | (~p605(X!0))),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[1870, 13, 1867])).
% 0.65/1.02 tff(1872,plain,
% 0.65/1.02 (~p505(X!0)),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[1871, 1846])).
% 0.65/1.02 tff(1873,plain,
% 0.65/1.02 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[1834, 1846])).
% 0.65/1.02 tff(1874,plain,
% 0.65/1.02 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[258, 1873])).
% 0.65/1.02 tff(1875,assumption,((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0))), introduced(assumption)).
% 0.65/1.02 tff(1876,plain,
% 0.65/1.02 (~p404(X!0)),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[725, 1875])).
% 0.65/1.02 tff(1877,plain,
% 0.65/1.02 (p403(X!0)),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[358, 1876, 264, 339, 263])).
% 0.65/1.02 tff(1878,plain,
% 0.65/1.02 (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[891, 1875])).
% 0.65/1.02 tff(1879,plain,
% 0.65/1.02 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[547, 1878])).
% 0.65/1.02 tff(1880,plain,
% 0.65/1.02 (p303(X!0)),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[488, 1879, 3, 429, 260])).
% 0.65/1.02 tff(1881,plain,
% 0.65/1.02 ($false),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[413, 1880, 1877])).
% 0.65/1.02 tff(1882,plain,((~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))) | p301(X!0) | p302(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p401(X!0) | p402(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.65/1.02 tff(1883,plain,
% 0.65/1.02 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[1882, 429, 3, 260, 264, 339, 263])).
% 0.65/1.02 tff(1884,plain,
% 0.65/1.02 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[162, 1883])).
% 0.65/1.02 tff(1885,plain,
% 0.65/1.02 (![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[168, 1884, 119, 117, 2])).
% 0.65/1.02 tff(1886,plain,
% 0.65/1.02 ((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0))),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[76, 1885])).
% 0.65/1.02 tff(1887,plain,
% 0.65/1.02 (~p303(X!0)),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[647, 1886])).
% 0.65/1.02 tff(1888,plain,
% 0.65/1.02 (![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[488, 1887, 3, 429, 260])).
% 0.65/1.02 tff(1889,plain,
% 0.65/1.02 (~p403(X!0)),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[604, 1886])).
% 0.65/1.02 tff(1890,plain,
% 0.65/1.02 (p404(X!0)),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[358, 1889, 264, 339, 263])).
% 0.65/1.02 tff(1891,plain,
% 0.65/1.02 (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[469, 1890])).
% 0.65/1.02 tff(1892,plain,
% 0.65/1.02 ($false),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[547, 1891, 1888])).
% 0.65/1.02 tff(1893,plain,(p302(X!0) | p301(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p401(X!0) | p402(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p202(X!0) | p201(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.65/1.02 tff(1894,plain,
% 0.65/1.02 (p302(X!0)),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[1893, 339, 260, 264, 3, 263, 119, 117, 2])).
% 0.65/1.02 tff(1895,plain,
% 0.65/1.02 (~p502(X!0)),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[579, 1894])).
% 0.65/1.02 tff(1896,plain,
% 0.65/1.02 (~p504(X!0)),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[789, 1875])).
% 0.65/1.02 tff(1897,plain,
% 0.65/1.02 (p503(X!0)),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[132, 1896, 1, 120, 118])).
% 0.65/1.02 tff(1898,plain,
% 0.65/1.02 ($false),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[499, 1877, 1897])).
% 0.65/1.02 tff(1899,plain,((~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))) | p401(X!0) | p402(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p501(X!0) | p505(X!0) | p502(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.65/1.02 tff(1900,plain,
% 0.65/1.02 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[1899, 339, 264, 263, 1, 120, 1895])).
% 0.65/1.02 tff(1901,plain,
% 0.65/1.02 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[162, 1900])).
% 0.65/1.02 tff(1902,plain,
% 0.65/1.02 (![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[168, 1901, 119, 117, 2])).
% 0.65/1.02 tff(1903,plain,
% 0.65/1.02 ((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0))),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[76, 1902])).
% 0.65/1.02 tff(1904,plain,
% 0.65/1.02 (~p503(X!0)),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[60, 1903])).
% 0.65/1.02 tff(1905,plain,
% 0.65/1.02 (p504(X!0)),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[132, 1904, 1, 120, 1895])).
% 0.65/1.02 tff(1906,plain,
% 0.65/1.02 (~p403(X!0)),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[604, 1903])).
% 0.65/1.02 tff(1907,plain,
% 0.65/1.02 (p404(X!0)),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[358, 1906, 264, 339, 263])).
% 0.65/1.02 tff(1908,plain,
% 0.65/1.02 ($false),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[352, 1907, 1905])).
% 0.65/1.02 tff(1909,plain,(p402(X!0) | p401(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p501(X!0) | p505(X!0) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p202(X!0) | p201(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p301(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.65/1.02 tff(1910,plain,
% 0.65/1.02 (p402(X!0)),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[1909, 117, 263, 1, 120, 119, 264, 2, 260, 3])).
% 0.65/1.02 tff(1911,plain,
% 0.65/1.02 (~p302(X!0)),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[634, 1910])).
% 0.65/1.02 tff(1912,plain,
% 0.65/1.02 (~p502(X!0)),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[587, 1910])).
% 0.65/1.02 tff(1913,plain,
% 0.65/1.02 (~p303(X!0)),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[378, 1897])).
% 0.65/1.02 tff(1914,plain,
% 0.65/1.02 ($false),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[488, 1913, 1879, 3, 429, 260])).
% 0.65/1.02 tff(1915,plain,((~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))) | p301(X!0) | p302(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p501(X!0) | p505(X!0) | p502(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.65/1.02 tff(1916,plain,
% 0.65/1.02 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[1915, 1911, 3, 260, 1, 120, 1912])).
% 0.65/1.02 tff(1917,plain,
% 0.65/1.02 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[162, 1916])).
% 0.65/1.02 tff(1918,plain,
% 0.65/1.02 (![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[168, 1917, 119, 117, 2])).
% 0.65/1.02 tff(1919,plain,
% 0.65/1.02 ((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0))),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[76, 1918])).
% 0.65/1.02 tff(1920,plain,
% 0.65/1.02 (~p303(X!0)),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[647, 1919])).
% 0.65/1.02 tff(1921,plain,
% 0.65/1.02 (![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[488, 1920, 3, 1911, 260])).
% 0.65/1.02 tff(1922,plain,
% 0.65/1.02 (~p503(X!0)),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[60, 1919])).
% 0.65/1.02 tff(1923,plain,
% 0.65/1.02 (p504(X!0)),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[132, 1922, 1, 120, 1912])).
% 0.65/1.02 tff(1924,plain,
% 0.65/1.02 (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[559, 1923])).
% 0.65/1.02 tff(1925,plain,
% 0.65/1.02 ($false),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[547, 1924, 1921])).
% 0.65/1.02 tff(1926,plain,(p202(X!0) | p301(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p501(X!0) | p505(X!0) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p201(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p401(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.65/1.02 tff(1927,plain,
% 0.65/1.02 (p202(X!0)),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[1926, 297, 1874, 283, 1872, 1865, 307, 1857, 273])).
% 0.65/1.02 tff(1928,plain,
% 0.65/1.02 (~p502(X!0)),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[329, 1927])).
% 0.65/1.02 tff(1929,plain,
% 0.65/1.02 (~p302(X!0)),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[336, 1927])).
% 0.65/1.02 tff(1930,plain,
% 0.65/1.02 (~p402(X!0)),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[315, 1927])).
% 0.65/1.02 tff(1931,plain,
% 0.65/1.02 (~p404(X!0)),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[469, 1837])).
% 0.65/1.02 tff(1932,plain,
% 0.65/1.02 (p403(X!0)),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[358, 1931, 264, 339, 263])).
% 0.65/1.02 tff(1933,plain,
% 0.65/1.02 (p503(X!0)),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[132, 1838, 1, 120, 118])).
% 0.65/1.02 tff(1934,plain,
% 0.65/1.02 ($false),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[499, 1933, 1932])).
% 0.65/1.02 tff(1935,plain,((~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))) | p501(X!0) | p505(X!0) | p502(X!0) | p401(X!0) | p402(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.65/1.02 tff(1936,plain,
% 0.65/1.02 (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[1935, 283, 1872, 1928, 273, 1930, 1857])).
% 0.65/1.02 tff(1937,plain,
% 0.65/1.02 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[547, 1936])).
% 0.65/1.02 tff(1938,plain,
% 0.65/1.02 (p303(X!0)),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[488, 1937, 297, 1929, 1874])).
% 0.65/1.02 tff(1939,plain,
% 0.65/1.02 (~p503(X!0)),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[378, 1938])).
% 0.65/1.02 tff(1940,plain,
% 0.65/1.02 (p504(X!0)),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[132, 1939, 283, 1872, 1928])).
% 0.65/1.02 tff(1941,plain,
% 0.65/1.02 (~p403(X!0)),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[413, 1938])).
% 0.65/1.02 tff(1942,plain,
% 0.65/1.02 (p404(X!0)),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[358, 1941, 273, 1930, 1857])).
% 0.65/1.02 tff(1943,plain,
% 0.65/1.02 ($false),
% 0.65/1.02 inference(unit_resolution,[status(thm)],[352, 1942, 1940])).
% 0.65/1.02 tff(1944,plain,(~p101(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.65/1.02 tff(1945,plain,
% 0.65/1.02 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p303(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(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] : ((~p302(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] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(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] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(X)) | (~r1(X!0, 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)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(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))))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p501(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)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, 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(X!0, X)) | (~p101(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(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)) | (~p303(X)) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(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)) | (~((~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)))) | (~p604(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)) | (~((~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_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)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(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_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(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)) | (~((~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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))) | ![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p501(X)))),
% 0.65/1.03 inference(tautology,[status(thm)],[])).
% 0.65/1.03 tff(1946,plain,
% 0.65/1.03 (![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p501(X)))),
% 0.65/1.03 inference(unit_resolution,[status(thm)],[1945, 48])).
% 0.65/1.03 tff(1947,plain,
% 0.65/1.03 (((~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p501(X)))) | ((~r1(X!0, X!0)) | (~p501(X!0)) | (~p601(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p501(X)))) | (~r1(X!0, X!0)) | (~p501(X!0)) | (~p601(X!0)))),
% 0.65/1.03 inference(rewrite,[status(thm)],[])).
% 0.65/1.03 tff(1948,plain,
% 0.65/1.03 (((~r1(X!0, X!0)) | (~p601(X!0)) | (~p501(X!0))) <=> ((~r1(X!0, X!0)) | (~p501(X!0)) | (~p601(X!0)))),
% 0.65/1.03 inference(rewrite,[status(thm)],[])).
% 0.65/1.03 tff(1949,plain,
% 0.65/1.03 (((~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p501(X)))) | ((~r1(X!0, X!0)) | (~p601(X!0)) | (~p501(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p501(X)))) | ((~r1(X!0, X!0)) | (~p501(X!0)) | (~p601(X!0))))),
% 0.65/1.03 inference(monotonicity,[status(thm)],[1948])).
% 0.65/1.03 tff(1950,plain,
% 0.65/1.03 (((~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p501(X)))) | ((~r1(X!0, X!0)) | (~p601(X!0)) | (~p501(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p501(X)))) | (~r1(X!0, X!0)) | (~p501(X!0)) | (~p601(X!0)))),
% 0.65/1.03 inference(transitivity,[status(thm)],[1949, 1947])).
% 0.65/1.03 tff(1951,plain,
% 0.65/1.03 ((~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p501(X)))) | ((~r1(X!0, X!0)) | (~p601(X!0)) | (~p501(X!0)))),
% 0.65/1.03 inference(quant_inst,[status(thm)],[])).
% 0.65/1.03 tff(1952,plain,
% 0.65/1.03 ((~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p501(X)))) | (~r1(X!0, X!0)) | (~p501(X!0)) | (~p601(X!0))),
% 0.65/1.03 inference(modus_ponens,[status(thm)],[1951, 1950])).
% 0.65/1.03 tff(1953,plain,
% 0.65/1.03 ((~p501(X!0)) | (~p601(X!0))),
% 0.65/1.03 inference(unit_resolution,[status(thm)],[1952, 13, 1946])).
% 0.65/1.03 tff(1954,plain,
% 0.65/1.03 (~p601(X!0)),
% 0.65/1.03 inference(unit_resolution,[status(thm)],[1953, 1550])).
% 0.65/1.03 tff(1955,plain,
% 0.65/1.03 (~p401(X!0)),
% 0.65/1.03 inference(unit_resolution,[status(thm)],[87, 1550])).
% 0.65/1.03 tff(1956,plain,
% 0.65/1.03 (p604(X!0)),
% 0.65/1.03 inference(unit_resolution,[status(thm)],[1824, 116, 174])).
% 0.65/1.03 tff(1957,plain,
% 0.65/1.03 (~p404(X!0)),
% 0.65/1.03 inference(unit_resolution,[status(thm)],[423, 1956])).
% 0.65/1.03 tff(1958,plain,
% 0.65/1.03 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p303(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(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] : ((~p302(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] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(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] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(X)) | (~r1(X!0, 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)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(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))))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p501(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)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, 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(X!0, X)) | (~p101(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(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)) | (~p303(X)) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(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)) | (~((~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)))) | (~p604(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)) | (~((~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_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)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(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_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(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)) | (~((~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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))) | ![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))),
% 0.78/1.03 inference(tautology,[status(thm)],[])).
% 0.78/1.03 tff(1959,plain,
% 0.78/1.03 (![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[1958, 48])).
% 0.78/1.03 tff(1960,plain,
% 0.78/1.03 (((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | ((~p604(X!0)) | (~r1(X!0, 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_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~p604(X!0)) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))))),
% 0.78/1.03 inference(rewrite,[status(thm)],[])).
% 0.78/1.03 tff(1961,plain,
% 0.78/1.03 (((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))) | (~p604(X!0))) <=> ((~p604(X!0)) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))))),
% 0.78/1.03 inference(rewrite,[status(thm)],[])).
% 0.78/1.03 tff(1962,plain,
% 0.78/1.03 (((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))) | (~p604(X!0))) <=> ((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))) | (~p604(X!0)))),
% 0.78/1.03 inference(monotonicity,[status(thm)],[944])).
% 0.78/1.03 tff(1963,plain,
% 0.78/1.03 (((~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))) | (~p604(X!0))) <=> ((~p604(X!0)) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))))),
% 0.78/1.03 inference(transitivity,[status(thm)],[1962, 1961])).
% 0.78/1.03 tff(1964,plain,
% 0.78/1.03 (((~![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)))) | ((~p604(X!0)) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0))))))),
% 0.78/1.03 inference(monotonicity,[status(thm)],[1963])).
% 0.78/1.03 tff(1965,plain,
% 0.78/1.03 (((~![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)))) | (~p604(X!0)) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))))),
% 0.78/1.03 inference(transitivity,[status(thm)],[1964, 1960])).
% 0.78/1.03 tff(1966,plain,
% 0.78/1.03 ((~![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)))),
% 0.78/1.03 inference(quant_inst,[status(thm)],[])).
% 0.78/1.03 tff(1967,plain,
% 0.78/1.03 ((~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p104(tptp_fun_Y_9(X)))) | (~p604(X)))) | (~p604(X!0)) | (~r1(X!0, X!0)) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0))))),
% 0.78/1.03 inference(modus_ponens,[status(thm)],[1966, 1965])).
% 0.78/1.03 tff(1968,plain,
% 0.78/1.03 ((~p604(X!0)) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0))))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[1967, 13, 1959])).
% 0.78/1.03 tff(1969,plain,
% 0.78/1.03 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[1968, 1956])).
% 0.78/1.03 tff(1970,plain,
% 0.78/1.03 (~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[1102, 1969])).
% 0.78/1.03 tff(1971,plain,
% 0.78/1.03 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[146, 1956])).
% 0.78/1.03 tff(1972,plain,
% 0.78/1.03 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[162, 1971])).
% 0.78/1.03 tff(1973,plain,
% 0.78/1.03 (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[517, 1956])).
% 0.78/1.03 tff(1974,plain,
% 0.78/1.03 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[547, 1973])).
% 0.78/1.03 tff(1975,plain,
% 0.78/1.03 (~p504(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[130, 1956])).
% 0.78/1.03 tff(1976,plain,
% 0.78/1.03 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[1253, 1184])).
% 0.78/1.03 tff(1977,plain,
% 0.78/1.03 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[76, 1976])).
% 0.78/1.03 tff(1978,plain,
% 0.78/1.03 (~p403(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[1094, 1184])).
% 0.78/1.03 tff(1979,plain,
% 0.78/1.03 (~p503(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[1212, 1184])).
% 0.78/1.03 tff(1980,plain,
% 0.78/1.03 (~p202(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[336, 709])).
% 0.78/1.03 tff(1981,plain,
% 0.78/1.03 (~p505(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[1509, 710, 571, 264, 1223, 265, 1319])).
% 0.78/1.03 tff(1982,plain,
% 0.78/1.03 (p501(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[132, 1981, 430, 261, 730])).
% 0.78/1.03 tff(1983,plain,
% 0.78/1.03 (~p201(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[1442, 1982])).
% 0.78/1.03 tff(1984,plain,
% 0.78/1.03 (![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[358, 710, 571, 264, 803])).
% 0.78/1.03 tff(1985,plain,
% 0.78/1.03 (p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[225, 1984])).
% 0.78/1.03 tff(1986,plain,
% 0.78/1.03 (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[213, 1985])).
% 0.78/1.03 tff(1987,plain,
% 0.78/1.03 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[914, 1986])).
% 0.78/1.03 tff(1988,plain,
% 0.78/1.03 ($false),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[168, 1987, 1983, 572, 1980, 728])).
% 0.78/1.03 tff(1989,plain,((~p302(X!0)) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | p504(X!0) | p503(X!0) | p404(X!0) | p401(X!0) | p101(X!0) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y))) | p403(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.78/1.03 tff(1990,plain,
% 0.78/1.03 (~p302(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[1989, 1977, 572, 430, 1979, 571, 264, 1223, 265, 1319, 1978])).
% 0.78/1.03 tff(1991,plain,
% 0.78/1.03 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[488, 1990, 308, 1187, 3])).
% 0.78/1.03 tff(1992,plain,
% 0.78/1.03 (p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[258, 1991])).
% 0.78/1.03 tff(1993,plain,
% 0.78/1.03 (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[242, 1992])).
% 0.78/1.03 tff(1994,plain,
% 0.78/1.03 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[914, 1993])).
% 0.78/1.03 tff(1995,plain,
% 0.78/1.03 (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[537, 1992])).
% 0.78/1.03 tff(1996,plain,
% 0.78/1.03 (~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[225, 1995])).
% 0.78/1.03 tff(1997,plain,
% 0.78/1.03 (p402(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[358, 1996, 571, 264, 1978])).
% 0.78/1.03 tff(1998,plain,
% 0.78/1.03 (~p202(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[315, 1997])).
% 0.78/1.03 tff(1999,plain,
% 0.78/1.03 (p201(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[168, 1998, 572, 1994, 1977])).
% 0.78/1.03 tff(2000,plain,
% 0.78/1.03 (~p505(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[453, 1992])).
% 0.78/1.03 tff(2001,plain,
% 0.78/1.03 (~p502(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[587, 1997])).
% 0.78/1.03 tff(2002,plain,
% 0.78/1.03 (p501(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[132, 2001, 430, 1979, 2000])).
% 0.78/1.03 tff(2003,plain,
% 0.78/1.03 ($false),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[1442, 2002, 1999])).
% 0.78/1.03 tff(2004,plain,((~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | p504(X!0) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | p404(X!0) | p401(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | p301(X!0) | p101(X!0) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.78/1.03 tff(2005,plain,
% 0.78/1.03 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[2004, 265, 572, 571, 264, 308, 3, 1223, 430, 1319])).
% 0.78/1.03 tff(2006,plain,
% 0.78/1.03 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[1002, 2005])).
% 0.78/1.03 tff(2007,plain,
% 0.78/1.03 (![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[970, 2006, 1223, 1319, 265])).
% 0.78/1.03 tff(2008,plain,
% 0.78/1.03 ((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[203, 2007])).
% 0.78/1.03 tff(2009,plain,
% 0.78/1.03 (~p505(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[1271, 2008])).
% 0.78/1.03 tff(2010,plain,
% 0.78/1.03 (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[1370, 2008])).
% 0.78/1.03 tff(2011,plain,
% 0.78/1.03 (~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[225, 2010])).
% 0.78/1.03 tff(2012,plain,
% 0.78/1.03 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[1279, 2008])).
% 0.78/1.03 tff(2013,plain,
% 0.78/1.03 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[258, 2012])).
% 0.78/1.03 tff(2014,plain,
% 0.78/1.03 (~p502(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[591, 2013, 308, 3, 571, 2011, 264])).
% 0.78/1.03 tff(2015,plain,
% 0.78/1.03 (p303(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[488, 429, 308, 2013, 3])).
% 0.78/1.03 tff(2016,plain,
% 0.78/1.03 (~p503(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[378, 2015])).
% 0.78/1.03 tff(2017,plain,
% 0.78/1.03 (p501(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[132, 2016, 430, 2014, 2009])).
% 0.78/1.03 tff(2018,plain,
% 0.78/1.03 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[647, 2015])).
% 0.78/1.03 tff(2019,plain,
% 0.78/1.03 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[76, 2018])).
% 0.78/1.03 tff(2020,plain,
% 0.78/1.03 (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[187, 2008])).
% 0.78/1.03 tff(2021,plain,
% 0.78/1.03 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[914, 2020])).
% 0.78/1.03 tff(2022,plain,
% 0.78/1.03 (~p403(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[1342, 429, 3, 1319, 265, 308, 1223])).
% 0.78/1.03 tff(2023,plain,
% 0.78/1.03 (p402(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[358, 2022, 571, 264, 2011])).
% 0.78/1.03 tff(2024,plain,
% 0.78/1.03 (~p202(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[315, 2023])).
% 0.78/1.03 tff(2025,plain,
% 0.78/1.03 (p201(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[168, 2024, 572, 2021, 2019])).
% 0.78/1.03 tff(2026,plain,
% 0.78/1.03 ($false),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[1442, 2025, 2017])).
% 0.78/1.03 tff(2027,plain,(p302(X!0) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | p504(X!0) | p404(X!0) | p401(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | p301(X!0) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | p101(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.78/1.03 tff(2028,plain,
% 0.78/1.03 (p302(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[2027, 265, 430, 571, 264, 308, 3, 1319, 572, 1223])).
% 0.78/1.03 tff(2029,plain,
% 0.78/1.03 (~p202(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[336, 2028])).
% 0.78/1.03 tff(2030,plain,
% 0.78/1.03 (~p402(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[634, 2028])).
% 0.78/1.03 tff(2031,plain,
% 0.78/1.03 (p403(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[358, 2030, 571, 264, 2011])).
% 0.78/1.03 tff(2032,plain,
% 0.78/1.03 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[604, 2031])).
% 0.78/1.03 tff(2033,plain,
% 0.78/1.03 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[76, 2032])).
% 0.78/1.03 tff(2034,plain,
% 0.78/1.03 (~p503(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[499, 2031])).
% 0.78/1.03 tff(2035,plain,
% 0.78/1.03 (p501(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[132, 2034, 430, 2014, 2009])).
% 0.78/1.03 tff(2036,plain,
% 0.78/1.03 (~p201(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[1442, 2035])).
% 0.78/1.03 tff(2037,plain,
% 0.78/1.03 ($false),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[168, 2036, 2033, 572, 2021, 2029])).
% 0.78/1.03 tff(2038,plain,(![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | p504(X!0) | p404(X!0) | p401(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | p301(X!0) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y))) | p101(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.78/1.03 tff(2039,plain,
% 0.78/1.03 (![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[2038, 3, 1975, 1957, 264, 1974, 1972, 1970, 939])).
% 0.78/1.03 tff(2040,plain,
% 0.78/1.03 ((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[1126, 2039])).
% 0.78/1.03 tff(2041,plain,
% 0.78/1.03 (~p202(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[1686, 2040])).
% 0.78/1.03 tff(2042,plain,
% 0.78/1.03 (~p602(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[1151, 2040])).
% 0.78/1.03 tff(2043,plain,
% 0.78/1.03 (~p402(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[1139, 2040])).
% 0.78/1.03 tff(2044,plain,
% 0.78/1.03 (~p502(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[1772, 2040])).
% 0.78/1.03 tff(2045,plain,
% 0.78/1.03 (~p302(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[1167, 2040])).
% 0.78/1.03 tff(2046,plain,
% 0.78/1.03 (p501(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[524, 263, 264, 2045, 3, 174, 116, 2044, 2043, 2042])).
% 0.78/1.03 tff(2047,plain,
% 0.78/1.03 (~p201(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[1442, 2046])).
% 0.78/1.03 tff(2048,plain,
% 0.78/1.03 (p403(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[358, 263, 1957, 264, 2043])).
% 0.78/1.03 tff(2049,plain,
% 0.78/1.03 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[604, 2048])).
% 0.78/1.03 tff(2050,plain,
% 0.78/1.03 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[76, 2049])).
% 0.78/1.03 tff(2051,plain,
% 0.78/1.03 (![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[168, 2050, 1972, 2047, 2041])).
% 0.78/1.03 tff(2052,plain,
% 0.78/1.03 (~p303(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[413, 2048])).
% 0.78/1.03 tff(2053,plain,
% 0.78/1.03 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[488, 2052, 1974, 2045, 3])).
% 0.78/1.03 tff(2054,plain,
% 0.78/1.03 (p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[258, 2053])).
% 0.78/1.03 tff(2055,plain,
% 0.78/1.03 (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[242, 2054])).
% 0.78/1.03 tff(2056,plain,
% 0.78/1.03 ($false),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[914, 2055, 2051])).
% 0.78/1.03 tff(2057,plain,(![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p301(X!0) | p401(X!0) | p605(X!0) | p601(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.78/1.03 tff(2058,plain,
% 0.78/1.03 (![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[2057, 3, 264, 174, 116])).
% 0.78/1.03 tff(2059,plain,
% 0.78/1.03 (p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[225, 2058])).
% 0.78/1.03 tff(2060,plain,
% 0.78/1.03 (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[213, 2059])).
% 0.78/1.03 tff(2061,plain,
% 0.78/1.03 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[914, 2060])).
% 0.78/1.03 tff(2062,plain,
% 0.78/1.03 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[537, 2059])).
% 0.78/1.03 tff(2063,plain,
% 0.78/1.03 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[258, 2062])).
% 0.78/1.03 tff(2064,plain,
% 0.78/1.03 (p303(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[488, 2063, 1974, 2045, 3])).
% 0.78/1.03 tff(2065,plain,
% 0.78/1.03 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[647, 2064])).
% 0.78/1.03 tff(2066,plain,
% 0.78/1.03 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[76, 2065])).
% 0.78/1.03 tff(2067,plain,
% 0.78/1.03 (p501(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[427, 2064, 264, 2044, 2043, 174, 116, 2042])).
% 0.78/1.03 tff(2068,plain,
% 0.78/1.03 (~p201(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[1442, 2067])).
% 0.78/1.03 tff(2069,plain,
% 0.78/1.03 ($false),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[168, 2068, 2066, 1972, 2061, 2041])).
% 0.78/1.03 tff(2070,plain,(p301(X!0) | p401(X!0) | p605(X!0) | p601(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.78/1.03 tff(2071,plain,
% 0.78/1.03 (p301(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[2070, 264, 174, 116])).
% 0.78/1.03 tff(2072,plain,
% 0.78/1.03 (~p501(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[1015, 2071])).
% 0.78/1.03 tff(2073,plain,
% 0.78/1.03 (~p201(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[1453, 2071])).
% 0.78/1.03 tff(2074,assumption,(p402(X!0)), introduced(assumption)).
% 0.78/1.03 tff(2075,plain,
% 0.78/1.03 (~p502(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[587, 2074])).
% 0.78/1.03 tff(2076,plain,
% 0.78/1.03 (~p202(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[315, 2074])).
% 0.78/1.03 tff(2077,plain,
% 0.78/1.03 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[1002, 1254])).
% 0.78/1.03 tff(2078,plain,
% 0.78/1.03 (![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[970, 2077, 1223, 1319, 265])).
% 0.78/1.03 tff(2079,plain,
% 0.78/1.03 (p505(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[132, 898, 430, 1, 118])).
% 0.78/1.03 tff(2080,plain,
% 0.78/1.03 (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[1271, 2079])).
% 0.78/1.03 tff(2081,plain,
% 0.78/1.03 ($false),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[203, 2080, 2078])).
% 0.78/1.03 tff(2082,plain,((~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))) | p101(X!0) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | p504(X!0) | p501(X!0) | p502(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.78/1.03 tff(2083,plain,
% 0.78/1.03 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[2082, 2075, 1319, 265, 430, 1, 1223])).
% 0.78/1.03 tff(2084,plain,
% 0.78/1.03 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[76, 2083])).
% 0.78/1.03 tff(2085,plain,
% 0.78/1.03 (![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[168, 2084, 572, 2, 2076])).
% 0.78/1.03 tff(2086,plain,
% 0.78/1.03 (p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[914, 2085])).
% 0.78/1.03 tff(2087,plain,
% 0.78/1.03 (~p505(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[232, 2086])).
% 0.78/1.03 tff(2088,plain,
% 0.78/1.03 (p503(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[132, 2087, 430, 1, 2075])).
% 0.78/1.03 tff(2089,plain,
% 0.78/1.03 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[1212, 2088])).
% 0.78/1.03 tff(2090,plain,
% 0.78/1.03 (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[187, 2086])).
% 0.78/1.03 tff(2091,plain,
% 0.78/1.03 (~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[203, 2090])).
% 0.78/1.03 tff(2092,plain,
% 0.78/1.03 (![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[970, 2091, 1223, 1319, 265])).
% 0.78/1.03 tff(2093,plain,
% 0.78/1.03 ($false),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[1002, 2092, 2089])).
% 0.78/1.03 tff(2094,plain,((~p402(X!0)) | p101(X!0) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | p504(X!0) | p501(X!0) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | p201(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.78/1.03 tff(2095,plain,
% 0.78/1.03 (~p402(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[2094, 265, 1319, 1223, 430, 1, 572, 2])).
% 0.78/1.03 tff(2096,plain,
% 0.78/1.03 (~p505(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[1509, 2095, 571, 264, 1223, 265, 1319])).
% 0.78/1.03 tff(2097,plain,
% 0.78/1.03 (p403(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[358, 339, 571, 264, 263])).
% 0.78/1.03 tff(2098,plain,
% 0.78/1.03 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[1094, 2097])).
% 0.78/1.03 tff(2099,plain,
% 0.78/1.03 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[1002, 2098])).
% 0.78/1.03 tff(2100,plain,
% 0.78/1.03 (![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[970, 2099, 1223, 1319, 265])).
% 0.78/1.03 tff(2101,plain,
% 0.78/1.03 ((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[203, 2100])).
% 0.78/1.03 tff(2102,plain,
% 0.78/1.03 (~p505(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[1509, 339, 571, 264, 1223, 265, 1319])).
% 0.78/1.03 tff(2103,plain,
% 0.78/1.03 (~p503(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[499, 2097])).
% 0.78/1.03 tff(2104,plain,
% 0.78/1.03 (p502(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[132, 2103, 430, 1, 2102])).
% 0.78/1.03 tff(2105,plain,
% 0.78/1.03 (~p202(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[329, 2104])).
% 0.78/1.03 tff(2106,plain,
% 0.78/1.03 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[604, 2097])).
% 0.78/1.03 tff(2107,plain,
% 0.78/1.03 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[76, 2106])).
% 0.78/1.03 tff(2108,plain,
% 0.78/1.03 (![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[168, 2107, 572, 2, 2105])).
% 0.78/1.03 tff(2109,plain,
% 0.78/1.03 (p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[914, 2108])).
% 0.78/1.03 tff(2110,plain,
% 0.78/1.03 ($false),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[187, 2109, 2101])).
% 0.78/1.03 tff(2111,plain,(p402(X!0) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | p201(X!0) | p101(X!0) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | p504(X!0) | p501(X!0) | p404(X!0) | p401(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.78/1.03 tff(2112,plain,
% 0.78/1.03 (![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[2111, 2095, 2, 1223, 1319, 265, 430, 1, 571, 264, 572])).
% 0.78/1.03 tff(2113,plain,
% 0.78/1.03 (p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[225, 2112])).
% 0.78/1.03 tff(2114,plain,
% 0.78/1.03 (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[1370, 2113])).
% 0.78/1.03 tff(2115,plain,
% 0.78/1.03 (~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[203, 2114])).
% 0.78/1.03 tff(2116,plain,
% 0.78/1.03 (![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[970, 2115, 1223, 1319, 265])).
% 0.78/1.03 tff(2117,plain,
% 0.78/1.03 ((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[1002, 2116])).
% 0.78/1.03 tff(2118,plain,
% 0.78/1.03 (~p503(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[1212, 2117])).
% 0.78/1.03 tff(2119,plain,
% 0.78/1.03 (p502(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[132, 2118, 430, 1, 2096])).
% 0.78/1.03 tff(2120,plain,
% 0.78/1.03 (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[213, 2113])).
% 0.78/1.03 tff(2121,plain,
% 0.78/1.03 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[914, 2120])).
% 0.78/1.03 tff(2122,plain,
% 0.78/1.03 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[1253, 2117])).
% 0.78/1.03 tff(2123,plain,
% 0.78/1.03 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[76, 2122])).
% 0.78/1.03 tff(2124,plain,
% 0.78/1.03 (p202(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[168, 2123, 572, 2, 2121])).
% 0.78/1.03 tff(2125,plain,
% 0.78/1.03 ($false),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[329, 2124, 2119])).
% 0.78/1.03 tff(2126,plain,(![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | p201(X!0) | p504(X!0) | p501(X!0) | p101(X!0) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y))) | p404(X!0) | p401(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.78/1.03 tff(2127,plain,
% 0.78/1.03 (![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[2126, 2073, 1972, 1975, 2072, 939, 1970, 1957, 264])).
% 0.78/1.03 tff(2128,plain,
% 0.78/1.03 ((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[1126, 2127])).
% 0.78/1.03 tff(2129,plain,
% 0.78/1.03 (~p202(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[1686, 2128])).
% 0.78/1.03 tff(2130,plain,
% 0.78/1.03 (~p402(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[1139, 2128])).
% 0.78/1.03 tff(2131,plain,
% 0.78/1.03 (~p502(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[1772, 2128])).
% 0.78/1.03 tff(2132,plain,
% 0.78/1.03 (~p403(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[626, 2131, 1975, 2073, 2072, 2129, 1972])).
% 0.78/1.03 tff(2133,plain,
% 0.78/1.03 (![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[358, 2132, 1957, 264, 2130])).
% 0.78/1.03 tff(2134,plain,
% 0.78/1.03 (p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[225, 2133])).
% 0.78/1.03 tff(2135,plain,
% 0.78/1.03 (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[213, 2134])).
% 0.78/1.03 tff(2136,plain,
% 0.78/1.03 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[914, 2135])).
% 0.78/1.03 tff(2137,plain,
% 0.78/1.03 (![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[168, 2136, 1972, 2073, 2129])).
% 0.78/1.03 tff(2138,plain,
% 0.78/1.03 (~p505(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[401, 2134])).
% 0.78/1.03 tff(2139,plain,
% 0.78/1.03 (p503(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[132, 2138, 1975, 2072, 2131])).
% 0.78/1.03 tff(2140,plain,
% 0.78/1.03 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[60, 2139])).
% 0.78/1.03 tff(2141,plain,
% 0.78/1.03 ($false),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[76, 2140, 2137])).
% 0.78/1.03 tff(2142,plain,(p401(X!0) | p605(X!0) | p601(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.78/1.03 tff(2143,plain,
% 0.78/1.03 (p605(X!0)),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[2142, 1955, 1954])).
% 0.78/1.03 tff(2144,plain,
% 0.78/1.03 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[1834, 2143])).
% 0.78/1.03 tff(2145,plain,
% 0.78/1.03 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[258, 2144])).
% 0.78/1.03 tff(2146,plain,
% 0.78/1.03 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p303(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(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] : ((~p302(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] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(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] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(X)) | (~r1(X!0, 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)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(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))))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p501(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)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, 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(X!0, X)) | (~p101(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(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)) | (~p303(X)) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(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)) | (~((~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)))) | (~p604(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)) | (~((~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_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)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(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_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(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)) | (~((~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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))) | ![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))),
% 0.78/1.03 inference(tautology,[status(thm)],[])).
% 0.78/1.03 tff(2147,plain,
% 0.78/1.03 (![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~p605(X)) | (~r1(X!0, X)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[2146, 48])).
% 0.78/1.03 tff(2148,plain,
% 0.78/1.03 (((~![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)))),
% 0.78/1.03 inference(rewrite,[status(thm)],[])).
% 0.78/1.03 tff(2149,plain,
% 0.78/1.03 (((~((~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)))),
% 0.78/1.03 inference(rewrite,[status(thm)],[])).
% 0.78/1.03 tff(2150,plain,
% 0.78/1.03 (((~((~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)))),
% 0.78/1.03 inference(monotonicity,[status(thm)],[180])).
% 0.78/1.03 tff(2151,plain,
% 0.78/1.03 (((~((~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)))),
% 0.78/1.03 inference(transitivity,[status(thm)],[2150, 2149])).
% 0.78/1.03 tff(2152,plain,
% 0.78/1.03 (((~![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))))),
% 0.78/1.03 inference(monotonicity,[status(thm)],[2151])).
% 0.78/1.03 tff(2153,plain,
% 0.78/1.03 (((~![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)))),
% 0.78/1.03 inference(transitivity,[status(thm)],[2152, 2148])).
% 0.78/1.03 tff(2154,plain,
% 0.78/1.03 ((~![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)))),
% 0.78/1.03 inference(quant_inst,[status(thm)],[])).
% 0.78/1.03 tff(2155,plain,
% 0.78/1.03 ((~![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))),
% 0.78/1.03 inference(modus_ponens,[status(thm)],[2154, 2153])).
% 0.78/1.03 tff(2156,plain,
% 0.78/1.03 ((~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | (~p605(X!0))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[2155, 13, 2147])).
% 0.78/1.03 tff(2157,plain,
% 0.78/1.03 (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[2156, 2143])).
% 0.78/1.03 tff(2158,plain,
% 0.78/1.03 (~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[203, 2157])).
% 0.78/1.03 tff(2159,plain,
% 0.78/1.03 (![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.78/1.03 inference(unit_resolution,[status(thm)],[970, 2158, 1223, 1319, 265])).
% 0.78/1.03 tff(2160,plain,
% 0.78/1.03 ((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[1002, 2159])).
% 0.78/1.04 tff(2161,plain,
% 0.78/1.04 (~p303(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[1047, 2160])).
% 0.78/1.04 tff(2162,plain,
% 0.78/1.04 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[1253, 2160])).
% 0.78/1.04 tff(2163,plain,
% 0.78/1.04 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[76, 2162])).
% 0.78/1.04 tff(2164,plain,
% 0.78/1.04 (~p403(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[1094, 2160])).
% 0.78/1.04 tff(2165,plain,
% 0.78/1.04 (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[1863, 2143])).
% 0.78/1.04 tff(2166,plain,
% 0.78/1.04 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[914, 2165])).
% 0.78/1.04 tff(2167,plain,
% 0.78/1.04 (![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[168, 117, 728, 2166, 1551])).
% 0.78/1.04 tff(2168,plain,
% 0.78/1.04 ((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[162, 2167])).
% 0.78/1.04 tff(2169,plain,
% 0.78/1.04 (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[1855, 2143])).
% 0.78/1.04 tff(2170,plain,
% 0.78/1.04 (~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[225, 2169])).
% 0.78/1.04 tff(2171,plain,
% 0.78/1.04 (p302(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[1558, 117, 1550, 2145, 2166, 457, 728])).
% 0.78/1.04 tff(2172,plain,
% 0.78/1.04 (~p402(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[634, 2171])).
% 0.78/1.04 tff(2173,plain,
% 0.78/1.04 (p404(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[358, 2172, 1955, 2170, 803])).
% 0.78/1.04 tff(2174,plain,
% 0.78/1.04 ($false),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[725, 2173, 2168])).
% 0.78/1.04 tff(2175,plain,(p202(X!0) | p403(X!0) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | (~p501(X!0)) | p303(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.78/1.04 tff(2176,plain,
% 0.78/1.04 (p202(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[2175, 2164, 2163, 1550, 2161])).
% 0.78/1.04 tff(2177,plain,
% 0.78/1.04 (~p302(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[336, 2176])).
% 0.78/1.04 tff(2178,plain,
% 0.78/1.04 (![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[488, 2177, 2161, 2145, 1554])).
% 0.78/1.04 tff(2179,plain,
% 0.78/1.04 (~p402(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[315, 2176])).
% 0.78/1.04 tff(2180,plain,
% 0.78/1.04 (p404(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[358, 2179, 1955, 2170, 2164])).
% 0.78/1.04 tff(2181,plain,
% 0.78/1.04 (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[469, 2180])).
% 0.78/1.04 tff(2182,plain,
% 0.78/1.04 ($false),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[547, 2181, 2178])).
% 0.78/1.04 tff(2183,plain,((~p501(X!0)) | p101(X!0) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.78/1.04 tff(2184,plain,
% 0.78/1.04 (~p501(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[2183, 1223, 1319, 265])).
% 0.78/1.04 tff(2185,plain,
% 0.78/1.04 (![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[970, 204, 1223, 1319, 265])).
% 0.78/1.04 tff(2186,plain,
% 0.78/1.04 ((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[1002, 2185])).
% 0.78/1.04 tff(2187,plain,
% 0.78/1.04 (~p605(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[1863, 175])).
% 0.78/1.04 tff(2188,plain,
% 0.78/1.04 (p503(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[132, 233, 430, 1, 118])).
% 0.78/1.04 tff(2189,plain,
% 0.78/1.04 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[1212, 2188])).
% 0.78/1.04 tff(2190,plain,
% 0.78/1.04 ($false),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[1002, 2185, 2189])).
% 0.78/1.04 tff(2191,plain,((~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))) | p101(X!0) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | p504(X!0) | p501(X!0) | p502(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.78/1.04 tff(2192,plain,
% 0.78/1.04 (p504(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[2191, 175, 1319, 265, 118, 1, 1223])).
% 0.78/1.04 tff(2193,plain,
% 0.78/1.04 (~p604(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[130, 2192])).
% 0.78/1.04 tff(2194,plain,
% 0.78/1.04 (p601(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[1238, 2193, 175, 2187, 118])).
% 0.78/1.04 tff(2195,plain,
% 0.78/1.04 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p303(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(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] : ((~p302(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] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(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] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(X)) | (~r1(X!0, 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)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(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))))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p501(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)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, 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(X!0, X)) | (~p101(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(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)) | (~p303(X)) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(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)) | (~((~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)))) | (~p604(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)) | (~((~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_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)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(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_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(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)) | (~((~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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))) | ![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p301(X)))),
% 0.78/1.04 inference(tautology,[status(thm)],[])).
% 0.78/1.04 tff(2196,plain,
% 0.78/1.04 (![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p301(X)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[2195, 48])).
% 0.78/1.04 tff(2197,plain,
% 0.78/1.04 (((~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p301(X)))) | ((~r1(X!0, X!0)) | (~p601(X!0)) | (~p301(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p301(X)))) | (~r1(X!0, X!0)) | (~p601(X!0)) | (~p301(X!0)))),
% 0.78/1.04 inference(rewrite,[status(thm)],[])).
% 0.78/1.04 tff(2198,plain,
% 0.78/1.04 ((~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p301(X)))) | ((~r1(X!0, X!0)) | (~p601(X!0)) | (~p301(X!0)))),
% 0.78/1.04 inference(quant_inst,[status(thm)],[])).
% 0.78/1.04 tff(2199,plain,
% 0.78/1.04 ((~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p301(X)))) | (~r1(X!0, X!0)) | (~p601(X!0)) | (~p301(X!0))),
% 0.78/1.04 inference(modus_ponens,[status(thm)],[2198, 2197])).
% 0.78/1.04 tff(2200,plain,
% 0.78/1.04 ((~p601(X!0)) | (~p301(X!0))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[2199, 13, 2196])).
% 0.78/1.04 tff(2201,plain,
% 0.78/1.04 (~p301(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[2200, 2194])).
% 0.78/1.04 tff(2202,plain,
% 0.78/1.04 (~p404(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[352, 2192])).
% 0.78/1.04 tff(2203,plain,
% 0.78/1.04 (~p401(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[94, 2194])).
% 0.78/1.04 tff(2204,plain,
% 0.78/1.04 (~p403(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[1094, 2186])).
% 0.78/1.04 tff(2205,plain,
% 0.78/1.04 ($false),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[358, 2204, 2203, 2202, 226, 339])).
% 0.78/1.04 tff(2206,plain,((~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))) | p402(X!0) | p502(X!0) | p101(X!0) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | p501(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.78/1.04 tff(2207,plain,
% 0.78/1.04 (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[2206, 339, 118, 1223, 1319, 265, 1])).
% 0.78/1.04 tff(2208,plain,
% 0.78/1.04 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[914, 2207])).
% 0.78/1.04 tff(2209,plain,
% 0.78/1.04 (p404(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[1509, 1320, 264, 265, 1223, 339, 1319])).
% 0.78/1.04 tff(2210,plain,
% 0.78/1.04 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[725, 2209])).
% 0.78/1.04 tff(2211,plain,
% 0.78/1.04 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[162, 2210])).
% 0.78/1.04 tff(2212,plain,
% 0.78/1.04 (~p605(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[1871, 1320])).
% 0.78/1.04 tff(2213,plain,
% 0.78/1.04 (p401(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[2142, 116, 174])).
% 0.78/1.04 tff(2214,plain,
% 0.78/1.04 (~p201(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[104, 2213])).
% 0.78/1.04 tff(2215,plain,
% 0.78/1.04 (~p501(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[87, 2213])).
% 0.78/1.04 tff(2216,plain,
% 0.78/1.04 (~p301(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[114, 2213])).
% 0.78/1.04 tff(2217,plain,
% 0.78/1.04 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[2082, 118, 1319, 265, 430, 1, 1223])).
% 0.78/1.04 tff(2218,plain,
% 0.78/1.04 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[76, 2217])).
% 0.78/1.04 tff(2219,plain,
% 0.78/1.04 (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[2191, 118, 1319, 265, 430, 1, 1223])).
% 0.78/1.04 tff(2220,plain,
% 0.78/1.04 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[914, 2219])).
% 0.78/1.04 tff(2221,plain,
% 0.78/1.04 (p202(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[168, 2220, 572, 2, 2218])).
% 0.78/1.04 tff(2222,plain,
% 0.78/1.04 (~p302(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[336, 2221])).
% 0.78/1.04 tff(2223,plain,
% 0.78/1.04 (![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[1332, 1320, 339, 571, 265, 308, 1223, 429, 1319])).
% 0.78/1.04 tff(2224,plain,
% 0.78/1.04 ($false),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[225, 2223, 1505])).
% 0.78/1.04 tff(2225,plain,((~p505(X!0)) | p402(X!0) | p404(X!0) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | p101(X!0) | p302(X!0) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.78/1.04 tff(2226,plain,
% 0.78/1.04 (~p505(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[2225, 2222, 571, 265, 308, 1223, 2095, 1319])).
% 0.78/1.04 tff(2227,plain,
% 0.78/1.04 (p503(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[132, 2226, 430, 1, 118])).
% 0.78/1.04 tff(2228,plain,
% 0.78/1.04 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[1212, 2227])).
% 0.78/1.04 tff(2229,plain,
% 0.78/1.04 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[1002, 2228])).
% 0.78/1.04 tff(2230,plain,
% 0.78/1.04 (![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[970, 2229, 1223, 1319, 265])).
% 0.78/1.04 tff(2231,plain,
% 0.78/1.04 (~p303(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[378, 2227])).
% 0.78/1.04 tff(2232,plain,
% 0.78/1.04 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[488, 2231, 308, 3, 2222])).
% 0.78/1.04 tff(2233,plain,
% 0.78/1.04 (p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[258, 2232])).
% 0.78/1.04 tff(2234,plain,
% 0.78/1.04 (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[1279, 2233])).
% 0.78/1.04 tff(2235,plain,
% 0.78/1.04 ($false),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[203, 2234, 2230])).
% 0.78/1.04 tff(2236,plain,(p502(X!0) | p101(X!0) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | p301(X!0) | p504(X!0) | p501(X!0) | p404(X!0) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | p201(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.78/1.04 tff(2237,plain,
% 0.78/1.04 (p502(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[2236, 265, 1970, 939, 1974, 2216, 1975, 2215, 1957, 1972, 2214])).
% 0.78/1.04 tff(2238,plain,
% 0.78/1.04 (~p202(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[329, 2237])).
% 0.78/1.04 tff(2239,plain,
% 0.78/1.04 (![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[168, 119, 1972, 2214, 2238])).
% 0.78/1.04 tff(2240,plain,
% 0.78/1.04 ((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[76, 2239])).
% 0.78/1.04 tff(2241,plain,
% 0.78/1.04 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[1253, 2240])).
% 0.78/1.04 tff(2242,plain,
% 0.78/1.04 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[1002, 2241])).
% 0.78/1.04 tff(2243,plain,
% 0.78/1.04 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[869, 119, 2216, 2237, 2238, 1974, 174, 116, 2214])).
% 0.78/1.04 tff(2244,plain,
% 0.78/1.04 (p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[258, 2243])).
% 0.78/1.04 tff(2245,plain,
% 0.78/1.04 (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[1279, 2244])).
% 0.78/1.04 tff(2246,plain,
% 0.78/1.04 (~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[203, 2245])).
% 0.78/1.04 tff(2247,plain,
% 0.78/1.04 ($false),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[970, 2246, 2242, 939, 1970, 265])).
% 0.78/1.04 tff(2248,plain,(![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | p605(X!0) | p601(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.78/1.04 tff(2249,plain,
% 0.78/1.04 (p601(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[2248, 2212, 265, 2208])).
% 0.78/1.04 tff(2250,plain,
% 0.78/1.04 (((~![X: $i] : ((~((~r1(X, tptp_fun_Y_6(X))) | p203(tptp_fun_Y_6(X)))) | (~r1(X!0, X)) | (~p303(X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p602(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] : ((~p302(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] : ((~p502(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~((~r1(X, tptp_fun_Y_5(X))) | p102(tptp_fun_Y_5(X)))) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p402(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p302(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] : ((~p202(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p402(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~p505(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(p305(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | (~p505(X)) | (~r1(X!0, 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)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~(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))))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p602(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~p605(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p202(X)) | (~p502(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p505(X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p105(tptp_fun_Y_4(X)))) | (~r1(X!0, X)))) | (~![X: $i] : ((~p302(X)) | (~p402(X)) | (~r1(X!0, X)))) | (~![X: $i] : ((~p605(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~p505(X)) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))))))) | (~![X: $i] : ((~(p405(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | (~r1(X!0, X)) | (~(p205(tptp_fun_Y_3(X)) | (~r1(X, 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)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p303(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p501(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)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p103(tptp_fun_Y_7(X)))) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, 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(X!0, X)) | (~p101(X)) | (~p301(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p501(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p101(X)) | (~p401(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p401(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p301(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p101(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p201(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p501(X)) | (~p201(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)) | (~p303(X)) | (~p403(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p303(X)) | (~p503(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p503(X)) | (~p603(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p403(X)) | (~p603(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)) | (~((~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)))) | (~p604(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)) | (~((~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_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)))) | (~((~r1(X, tptp_fun_Y_10(X))) | p304(tptp_fun_Y_10(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_8(X))) | p204(tptp_fun_Y_8(X)))) | (~p504(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)) | (~((~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_10(X))) | p304(tptp_fun_Y_10(X)))) | (~p404(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p604(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p404(X)) | (~p504(X)))) | (~![X: $i] : ((~r1(X!0, X)) | (~p504(X)) | (~p604(X))))) | ![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p201(X)))),
% 0.78/1.04 inference(tautology,[status(thm)],[])).
% 0.78/1.04 tff(2251,plain,
% 0.78/1.04 (![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p201(X)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[2250, 48])).
% 0.78/1.04 tff(2252,plain,
% 0.78/1.04 (((~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p201(X)))) | ((~r1(X!0, X!0)) | (~p201(X!0)) | (~p601(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p201(X)))) | (~r1(X!0, X!0)) | (~p201(X!0)) | (~p601(X!0)))),
% 0.78/1.04 inference(rewrite,[status(thm)],[])).
% 0.78/1.04 tff(2253,plain,
% 0.78/1.04 (((~r1(X!0, X!0)) | (~p601(X!0)) | (~p201(X!0))) <=> ((~r1(X!0, X!0)) | (~p201(X!0)) | (~p601(X!0)))),
% 0.78/1.04 inference(rewrite,[status(thm)],[])).
% 0.78/1.04 tff(2254,plain,
% 0.78/1.04 (((~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p201(X)))) | ((~r1(X!0, X!0)) | (~p601(X!0)) | (~p201(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p201(X)))) | ((~r1(X!0, X!0)) | (~p201(X!0)) | (~p601(X!0))))),
% 0.78/1.04 inference(monotonicity,[status(thm)],[2253])).
% 0.78/1.04 tff(2255,plain,
% 0.78/1.04 (((~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p201(X)))) | ((~r1(X!0, X!0)) | (~p601(X!0)) | (~p201(X!0)))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p201(X)))) | (~r1(X!0, X!0)) | (~p201(X!0)) | (~p601(X!0)))),
% 0.78/1.04 inference(transitivity,[status(thm)],[2254, 2252])).
% 0.78/1.04 tff(2256,plain,
% 0.78/1.04 ((~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p201(X)))) | ((~r1(X!0, X!0)) | (~p601(X!0)) | (~p201(X!0)))),
% 0.78/1.04 inference(quant_inst,[status(thm)],[])).
% 0.78/1.04 tff(2257,plain,
% 0.78/1.04 ((~![X: $i] : ((~r1(X!0, X)) | (~p601(X)) | (~p201(X)))) | (~r1(X!0, X!0)) | (~p201(X!0)) | (~p601(X!0))),
% 0.78/1.04 inference(modus_ponens,[status(thm)],[2256, 2255])).
% 0.78/1.04 tff(2258,plain,
% 0.78/1.04 ((~p201(X!0)) | (~p601(X!0))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[2257, 13, 2251])).
% 0.78/1.04 tff(2259,plain,
% 0.78/1.04 (~p201(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[2258, 2249])).
% 0.78/1.04 tff(2260,plain,
% 0.78/1.04 (~p504(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[352, 2209])).
% 0.78/1.04 tff(2261,plain,
% 0.78/1.04 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[2082, 2260, 1319, 265, 118, 1, 1223])).
% 0.78/1.04 tff(2262,plain,
% 0.78/1.04 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[76, 2261])).
% 0.78/1.04 tff(2263,plain,
% 0.78/1.04 (p202(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[168, 2262, 2208, 2259, 2211])).
% 0.78/1.04 tff(2264,plain,
% 0.78/1.04 (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[469, 2209])).
% 0.78/1.04 tff(2265,plain,
% 0.78/1.04 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[547, 2264])).
% 0.78/1.04 tff(2266,plain,
% 0.78/1.04 (~p301(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[2200, 2249])).
% 0.78/1.04 tff(2267,plain,
% 0.78/1.04 (![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[970, 1322, 1223, 1319, 265])).
% 0.78/1.04 tff(2268,plain,
% 0.78/1.04 ((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[1002, 2267])).
% 0.78/1.04 tff(2269,plain,
% 0.78/1.04 (~p303(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[1047, 2268])).
% 0.78/1.04 tff(2270,plain,
% 0.78/1.04 (p302(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[488, 2269, 1328, 2266, 2265])).
% 0.78/1.04 tff(2271,plain,
% 0.78/1.04 ($false),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[336, 2270, 2263])).
% 0.78/1.04 tff(2272,plain,((~p505(X!0)) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | p502(X!0) | p501(X!0) | p101(X!0) | p401(X!0) | p402(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.78/1.04 tff(2273,plain,
% 0.78/1.04 (~p505(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[2272, 264, 265, 118, 1, 1223, 1319, 339])).
% 0.78/1.04 tff(2274,plain,
% 0.78/1.04 (p504(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[132, 261, 118, 1, 120])).
% 0.78/1.04 tff(2275,plain,
% 0.78/1.04 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[789, 2274])).
% 0.78/1.04 tff(2276,plain,
% 0.78/1.04 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[162, 2275])).
% 0.78/1.04 tff(2277,plain,
% 0.78/1.04 (~p404(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[352, 2274])).
% 0.78/1.04 tff(2278,plain,
% 0.78/1.04 (~p604(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[130, 2274])).
% 0.78/1.04 tff(2279,plain,
% 0.78/1.04 (p201(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[168, 1977, 119, 572, 117])).
% 0.78/1.04 tff(2280,plain,
% 0.78/1.04 (~p601(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[2258, 2279])).
% 0.78/1.04 tff(2281,plain,
% 0.78/1.04 (p605(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[1824, 2280, 173])).
% 0.78/1.04 tff(2282,plain,
% 0.78/1.04 (~p401(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[1537, 1977, 118, 117, 120, 119, 261])).
% 0.78/1.04 tff(2283,plain,
% 0.78/1.04 (![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[358, 2282, 571, 1978, 339])).
% 0.78/1.04 tff(2284,plain,
% 0.78/1.04 (p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[225, 2283])).
% 0.78/1.04 tff(2285,plain,
% 0.78/1.04 ($false),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[1855, 2284, 2281])).
% 0.78/1.04 tff(2286,plain,((~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | p604(X!0) | p404(X!0) | p402(X!0) | p502(X!0) | p202(X!0) | p505(X!0) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p503(X!0) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.78/1.04 tff(2287,plain,
% 0.78/1.04 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[2286, 2278, 2277, 339, 118, 117, 120, 119, 261, 2276])).
% 0.78/1.04 tff(2288,plain,
% 0.78/1.04 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[1002, 2287])).
% 0.78/1.04 tff(2289,plain,
% 0.78/1.04 (![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[970, 2288, 1223, 1319, 265])).
% 0.78/1.04 tff(2290,plain,
% 0.78/1.04 ((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[203, 2289])).
% 0.78/1.04 tff(2291,plain,
% 0.78/1.04 (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[1370, 2290])).
% 0.78/1.04 tff(2292,plain,
% 0.78/1.04 (~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[225, 2291])).
% 0.78/1.04 tff(2293,plain,
% 0.78/1.04 (~p605(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[2156, 2290])).
% 0.78/1.04 tff(2294,plain,
% 0.78/1.04 (p601(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[2248, 2293, 265, 119])).
% 0.78/1.04 tff(2295,plain,
% 0.78/1.04 (~p401(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[94, 2294])).
% 0.78/1.04 tff(2296,plain,
% 0.78/1.04 (p403(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[358, 2295, 2277, 2292, 339])).
% 0.78/1.04 tff(2297,plain,
% 0.78/1.04 (~p201(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[2258, 2294])).
% 0.78/1.04 tff(2298,plain,
% 0.78/1.04 (![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[168, 2297, 119, 2276, 117])).
% 0.78/1.04 tff(2299,plain,
% 0.78/1.04 ((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[76, 2298])).
% 0.78/1.04 tff(2300,plain,
% 0.78/1.04 ($false),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[604, 2299, 2296])).
% 0.78/1.04 tff(2301,plain,(p503(X!0) | p402(X!0) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p202(X!0) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | p101(X!0) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y))) | p502(X!0) | p505(X!0) | p501(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.78/1.04 tff(2302,plain,
% 0.78/1.04 (p503(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[2301, 119, 339, 117, 265, 1223, 1319, 118, 120, 1])).
% 0.78/1.04 tff(2303,plain,
% 0.78/1.04 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[1212, 2302])).
% 0.78/1.04 tff(2304,plain,
% 0.78/1.04 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[1002, 2303])).
% 0.78/1.04 tff(2305,plain,
% 0.78/1.04 (![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[970, 2304, 1223, 1319, 265])).
% 0.78/1.04 tff(2306,plain,
% 0.78/1.04 ((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[203, 2305])).
% 0.78/1.04 tff(2307,plain,
% 0.78/1.04 (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[1370, 2306])).
% 0.78/1.04 tff(2308,plain,
% 0.78/1.04 (~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[225, 2307])).
% 0.78/1.04 tff(2309,plain,
% 0.78/1.04 (~p403(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[499, 2302])).
% 0.78/1.04 tff(2310,plain,
% 0.78/1.04 (~p605(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[2156, 2306])).
% 0.78/1.04 tff(2311,plain,
% 0.78/1.04 (p601(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[2248, 2310, 265, 119])).
% 0.78/1.04 tff(2312,plain,
% 0.78/1.04 (~p401(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[94, 2311])).
% 0.78/1.04 tff(2313,plain,
% 0.78/1.04 (p404(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[358, 2312, 2309, 2308, 339])).
% 0.78/1.04 tff(2314,plain,
% 0.78/1.04 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[60, 2302])).
% 0.78/1.04 tff(2315,plain,
% 0.78/1.04 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[76, 2314])).
% 0.78/1.04 tff(2316,plain,
% 0.78/1.04 (~p201(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[2258, 2311])).
% 0.78/1.04 tff(2317,plain,
% 0.78/1.04 (![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[168, 2316, 119, 2315, 117])).
% 0.78/1.04 tff(2318,plain,
% 0.78/1.04 ((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[162, 2317])).
% 0.78/1.04 tff(2319,plain,
% 0.78/1.04 ($false),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[725, 2318, 2313])).
% 0.78/1.04 tff(2320,plain,(![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p402(X!0) | p202(X!0) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | p101(X!0) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y))) | p502(X!0) | p505(X!0) | p501(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.78/1.04 tff(2321,plain,
% 0.78/1.04 (p202(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[2320, 120, 339, 265, 1223, 1319, 118, 2208, 1])).
% 0.78/1.04 tff(2322,plain,
% 0.78/1.04 (~p302(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[336, 2321])).
% 0.78/1.04 tff(2323,plain,
% 0.78/1.04 (![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[970, 1335, 1223, 1319, 265])).
% 0.78/1.04 tff(2324,plain,
% 0.78/1.04 ((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[203, 2323])).
% 0.78/1.04 tff(2325,plain,
% 0.78/1.04 (~p605(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[2156, 2324])).
% 0.78/1.04 tff(2326,plain,
% 0.78/1.04 (p504(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[132, 608, 118, 1, 120])).
% 0.78/1.04 tff(2327,plain,
% 0.78/1.04 (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[559, 2326])).
% 0.78/1.04 tff(2328,plain,
% 0.78/1.04 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[547, 2327])).
% 0.78/1.04 tff(2329,plain,
% 0.78/1.04 (p301(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[1342, 2328, 429, 1319, 265, 593, 1223])).
% 0.78/1.04 tff(2330,plain,
% 0.78/1.04 (~p601(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[2200, 2329])).
% 0.78/1.04 tff(2331,plain,
% 0.78/1.04 ($false),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[2248, 2330, 2325, 265, 119])).
% 0.78/1.04 tff(2332,plain,((~p403(X!0)) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p302(X!0) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y))) | p101(X!0) | p502(X!0) | p501(X!0) | p505(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.78/1.04 tff(2333,plain,
% 0.78/1.04 (~p403(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[2332, 2322, 2208, 265, 1319, 1223, 118, 1, 120])).
% 0.78/1.04 tff(2334,plain,
% 0.78/1.04 (p404(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[358, 2333, 264, 263, 339])).
% 0.78/1.04 tff(2335,plain,
% 0.78/1.04 (~p504(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[352, 2334])).
% 0.78/1.04 tff(2336,plain,
% 0.78/1.04 (p503(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[132, 2335, 118, 1, 120])).
% 0.78/1.04 tff(2337,plain,
% 0.78/1.04 (![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[1233, 2336, 265, 1223, 264, 339, 263])).
% 0.78/1.04 tff(2338,plain,
% 0.78/1.04 ((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[203, 2337])).
% 0.78/1.04 tff(2339,plain,
% 0.78/1.04 (~p605(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[2156, 2338])).
% 0.78/1.04 tff(2340,plain,
% 0.78/1.04 (~p303(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[378, 2336])).
% 0.78/1.04 tff(2341,plain,
% 0.78/1.04 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[1212, 2336])).
% 0.78/1.04 tff(2342,plain,
% 0.78/1.04 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[1002, 2341])).
% 0.78/1.04 tff(2343,plain,
% 0.78/1.04 (p301(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[1731, 2342, 2322, 2333, 2340, 339, 1223, 265, 264])).
% 0.78/1.04 tff(2344,plain,
% 0.78/1.04 (~p601(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[2200, 2343])).
% 0.78/1.04 tff(2345,plain,
% 0.78/1.04 ($false),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[2248, 2344, 2339, 265, 2208])).
% 0.78/1.04 tff(2346,plain,(p505(X!0) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | p402(X!0) | p101(X!0) | p401(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p502(X!0) | p501(X!0) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.78/1.04 tff(2347,plain,
% 0.78/1.04 (![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[2346, 2273, 339, 1223, 264, 265, 118, 1, 1319])).
% 0.78/1.04 tff(2348,plain,
% 0.78/1.04 (p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[225, 2347])).
% 0.78/1.04 tff(2349,plain,
% 0.78/1.04 (~p605(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[1855, 2348])).
% 0.78/1.04 tff(2350,plain,
% 0.78/1.04 (p601(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[2248, 2349, 265, 2208])).
% 0.78/1.04 tff(2351,plain,
% 0.78/1.04 (~p301(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[2200, 2350])).
% 0.78/1.04 tff(2352,plain,
% 0.78/1.04 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[537, 2348])).
% 0.78/1.04 tff(2353,plain,
% 0.78/1.04 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[258, 2352])).
% 0.78/1.04 tff(2354,plain,
% 0.78/1.04 (p202(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[2320, 2273, 339, 265, 1223, 1319, 118, 2208, 1])).
% 0.78/1.04 tff(2355,plain,
% 0.78/1.04 (~p302(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[336, 2354])).
% 0.78/1.04 tff(2356,plain,
% 0.78/1.04 (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[1370, 2348])).
% 0.78/1.04 tff(2357,plain,
% 0.78/1.04 (~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[203, 2356])).
% 0.78/1.04 tff(2358,plain,
% 0.78/1.04 (![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[970, 2357, 1223, 1319, 265])).
% 0.78/1.04 tff(2359,plain,
% 0.78/1.04 ((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[1002, 2358])).
% 0.78/1.04 tff(2360,plain,
% 0.78/1.04 (~p303(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[1047, 2359])).
% 0.78/1.04 tff(2361,plain,
% 0.78/1.04 (![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[488, 2360, 2355, 2353, 2351])).
% 0.78/1.04 tff(2362,plain,
% 0.78/1.04 (~p503(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[1212, 2359])).
% 0.78/1.04 tff(2363,plain,
% 0.78/1.04 (p504(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[132, 2362, 118, 1, 2273])).
% 0.78/1.04 tff(2364,plain,
% 0.78/1.04 (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[559, 2363])).
% 0.78/1.04 tff(2365,plain,
% 0.78/1.04 ($false),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[547, 2364, 2361])).
% 0.78/1.04 tff(2366,plain,(p401(X!0) | p502(X!0) | p501(X!0) | p101(X!0) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | p402(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.78/1.04 tff(2367,plain,
% 0.78/1.04 (p401(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[2366, 339, 1, 1223, 1319, 265, 118])).
% 0.78/1.04 tff(2368,plain,
% 0.78/1.04 (~p301(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[114, 2367])).
% 0.78/1.04 tff(2369,plain,
% 0.78/1.04 (~p601(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[94, 2367])).
% 0.78/1.04 tff(2370,plain,
% 0.78/1.04 (p605(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[2248, 2369, 265, 2208])).
% 0.78/1.04 tff(2371,plain,
% 0.78/1.04 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[1834, 2370])).
% 0.78/1.04 tff(2372,plain,
% 0.78/1.04 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[258, 2371])).
% 0.78/1.04 tff(2373,plain,
% 0.78/1.04 (~p505(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[1871, 2370])).
% 0.78/1.04 tff(2374,plain,
% 0.78/1.04 (p202(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[2320, 2373, 339, 265, 1223, 1319, 118, 2208, 1])).
% 0.78/1.04 tff(2375,plain,
% 0.78/1.04 (~p302(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[336, 2374])).
% 0.78/1.04 tff(2376,plain,
% 0.78/1.04 (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[2156, 2370])).
% 0.78/1.04 tff(2377,plain,
% 0.78/1.04 (~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[203, 2376])).
% 0.78/1.04 tff(2378,plain,
% 0.78/1.04 (![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[970, 2377, 1223, 1319, 265])).
% 0.78/1.04 tff(2379,plain,
% 0.78/1.04 ((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[1002, 2378])).
% 0.78/1.04 tff(2380,plain,
% 0.78/1.04 (~p303(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[1047, 2379])).
% 0.78/1.04 tff(2381,plain,
% 0.78/1.04 (![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[488, 2380, 2375, 2372, 2368])).
% 0.78/1.04 tff(2382,plain,
% 0.78/1.04 (~p503(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[1212, 2379])).
% 0.78/1.04 tff(2383,plain,
% 0.78/1.04 (p504(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[132, 2382, 118, 1, 2373])).
% 0.78/1.04 tff(2384,plain,
% 0.78/1.04 (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[559, 2383])).
% 0.78/1.04 tff(2385,plain,
% 0.78/1.04 ($false),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[547, 2384, 2381])).
% 0.78/1.04 tff(2386,plain,(p402(X!0) | p502(X!0) | p501(X!0) | p101(X!0) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.78/1.04 tff(2387,plain,
% 0.78/1.04 (p402(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[2386, 1, 118, 1223, 1319, 265])).
% 0.78/1.04 tff(2388,plain,
% 0.78/1.04 (~p302(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[634, 2387])).
% 0.78/1.04 tff(2389,plain,
% 0.78/1.04 (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[559, 2192])).
% 0.78/1.04 tff(2390,plain,
% 0.78/1.04 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[547, 2389])).
% 0.78/1.04 tff(2391,plain,
% 0.78/1.04 (p303(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[488, 2390, 2388, 259, 2201])).
% 0.78/1.04 tff(2392,plain,
% 0.78/1.04 ($false),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[1047, 2391, 2186])).
% 0.78/1.04 tff(2393,plain,((~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))) | p502(X!0) | p101(X!0) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | p501(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.78/1.04 tff(2394,plain,
% 0.78/1.04 (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[2393, 1, 1223, 1319, 265, 118])).
% 0.78/1.04 tff(2395,plain,
% 0.78/1.04 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[914, 2394])).
% 0.78/1.04 tff(2396,plain,
% 0.78/1.04 (~p202(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[315, 2387])).
% 0.78/1.04 tff(2397,plain,
% 0.78/1.04 (p504(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[132, 1979, 118, 1, 120])).
% 0.78/1.04 tff(2398,plain,
% 0.78/1.04 (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[559, 2397])).
% 0.78/1.04 tff(2399,plain,
% 0.78/1.04 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[547, 2398])).
% 0.78/1.04 tff(2400,plain,
% 0.78/1.04 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[789, 2397])).
% 0.78/1.04 tff(2401,plain,
% 0.78/1.04 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[162, 2400])).
% 0.78/1.04 tff(2402,plain,
% 0.78/1.04 (p201(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[168, 2401, 117, 119, 1977])).
% 0.78/1.04 tff(2403,plain,
% 0.78/1.04 (~p301(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[1453, 2402])).
% 0.78/1.04 tff(2404,plain,
% 0.78/1.04 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[488, 2403, 429, 1187, 2399])).
% 0.78/1.04 tff(2405,plain,
% 0.78/1.04 (~p601(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[2258, 2402])).
% 0.78/1.04 tff(2406,plain,
% 0.78/1.04 (p605(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[2248, 2405, 265, 119])).
% 0.78/1.04 tff(2407,plain,
% 0.78/1.04 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[1834, 2406])).
% 0.78/1.04 tff(2408,plain,
% 0.78/1.04 ($false),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[258, 2407, 2404])).
% 0.78/1.04 tff(2409,plain,((~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))) | p302(X!0) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p202(X!0) | p502(X!0) | p501(X!0) | p505(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.78/1.04 tff(2410,plain,
% 0.78/1.04 (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[2409, 119, 265, 2388, 2396, 118, 1, 120])).
% 0.78/1.04 tff(2411,plain,
% 0.78/1.04 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[1002, 2410])).
% 0.78/1.04 tff(2412,plain,
% 0.78/1.04 (![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[970, 2411, 1223, 1319, 265])).
% 0.78/1.04 tff(2413,plain,
% 0.78/1.04 ((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[203, 2412])).
% 0.78/1.04 tff(2414,plain,
% 0.78/1.04 (~p605(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[2156, 2413])).
% 0.78/1.04 tff(2415,plain,
% 0.78/1.04 (p601(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[2248, 2414, 265, 119])).
% 0.78/1.04 tff(2416,plain,
% 0.78/1.04 (~p201(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[2258, 2415])).
% 0.78/1.04 tff(2417,plain,
% 0.78/1.04 (~p301(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[2200, 2415])).
% 0.78/1.04 tff(2418,plain,
% 0.78/1.04 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[2082, 430, 1319, 265, 118, 1, 1223])).
% 0.78/1.04 tff(2419,plain,
% 0.78/1.04 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[76, 2418])).
% 0.78/1.04 tff(2420,plain,
% 0.78/1.04 (p503(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[132, 430, 118, 1, 120])).
% 0.78/1.04 tff(2421,plain,
% 0.78/1.04 (~p303(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[378, 2420])).
% 0.78/1.04 tff(2422,plain,
% 0.78/1.04 ($false),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[1810, 2421, 2419, 2388, 1526, 2396, 3, 2])).
% 0.78/1.04 tff(2423,plain,(p504(X!0) | (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | p301(X!0) | p201(X!0) | p502(X!0) | p501(X!0) | p505(X!0) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | p101(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.78/1.04 tff(2424,plain,
% 0.78/1.04 (p504(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[2423, 2413, 2417, 2416, 118, 1, 120, 1319, 265, 1223])).
% 0.78/1.04 tff(2425,plain,
% 0.78/1.04 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[789, 2424])).
% 0.78/1.04 tff(2426,plain,
% 0.78/1.04 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[162, 2425])).
% 0.78/1.04 tff(2427,plain,
% 0.78/1.04 (![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[168, 2426, 2396, 119, 2416])).
% 0.78/1.04 tff(2428,plain,
% 0.78/1.04 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[1279, 2413])).
% 0.78/1.04 tff(2429,plain,
% 0.78/1.04 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[258, 2428])).
% 0.78/1.04 tff(2430,plain,
% 0.78/1.04 (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[559, 2424])).
% 0.78/1.04 tff(2431,plain,
% 0.78/1.04 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[547, 2430])).
% 0.78/1.04 tff(2432,plain,
% 0.78/1.04 (p303(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[488, 2431, 2388, 2429, 2417])).
% 0.78/1.04 tff(2433,plain,
% 0.78/1.04 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[647, 2432])).
% 0.78/1.04 tff(2434,plain,
% 0.78/1.04 ($false),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[76, 2433, 2427])).
% 0.78/1.04 tff(2435,plain,(![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p502(X!0) | p501(X!0) | p505(X!0) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | p101(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.78/1.04 tff(2436,plain,
% 0.78/1.04 (p505(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[2435, 2395, 1, 118, 1319, 265, 1223])).
% 0.78/1.04 tff(2437,plain,
% 0.78/1.04 (~p605(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[1871, 2436])).
% 0.78/1.04 tff(2438,plain,
% 0.78/1.04 (p601(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[2248, 2437, 265, 2395])).
% 0.78/1.04 tff(2439,plain,
% 0.78/1.04 (~p301(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[2200, 2438])).
% 0.78/1.04 tff(2440,plain,
% 0.78/1.04 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[453, 2436])).
% 0.78/1.04 tff(2441,plain,
% 0.78/1.04 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[258, 2440])).
% 0.78/1.04 tff(2442,plain,
% 0.78/1.04 (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[1271, 2436])).
% 0.78/1.04 tff(2443,plain,
% 0.78/1.04 (~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[203, 2442])).
% 0.78/1.04 tff(2444,plain,
% 0.78/1.04 (![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[970, 2443, 1223, 1319, 265])).
% 0.78/1.04 tff(2445,plain,
% 0.78/1.04 ((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[1002, 2444])).
% 0.78/1.04 tff(2446,plain,
% 0.78/1.04 (~p303(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[1047, 2445])).
% 0.78/1.04 tff(2447,plain,
% 0.78/1.04 (![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[488, 2446, 2388, 2441, 2439])).
% 0.78/1.04 tff(2448,plain,
% 0.78/1.04 ((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[547, 2447])).
% 0.78/1.04 tff(2449,plain,
% 0.78/1.04 (~p201(X!0)),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[2258, 2438])).
% 0.78/1.04 tff(2450,plain,
% 0.78/1.04 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[1253, 2445])).
% 0.78/1.04 tff(2451,plain,
% 0.78/1.04 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[76, 2450])).
% 0.78/1.04 tff(2452,plain,
% 0.78/1.04 (![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[168, 2451, 2396, 2395, 2449])).
% 0.78/1.04 tff(2453,plain,
% 0.78/1.04 ((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0))),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[162, 2452])).
% 0.78/1.04 tff(2454,plain,
% 0.78/1.04 ($false),
% 0.78/1.04 inference(unit_resolution,[status(thm)],[891, 2453, 2448])).
% 0.78/1.04 tff(2455,plain,(p501(X!0) | p101(X!0) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | p502(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.78/1.05 tff(2456,plain,
% 0.78/1.05 (p502(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2455, 2184, 1319, 265, 1223])).
% 0.78/1.05 tff(2457,plain,
% 0.78/1.05 (~p302(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[579, 2456])).
% 0.78/1.05 tff(2458,plain,
% 0.78/1.05 (![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[970, 1460, 1223, 1319, 265])).
% 0.78/1.05 tff(2459,plain,
% 0.78/1.05 ((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[203, 2458])).
% 0.78/1.05 tff(2460,plain,
% 0.78/1.05 (~p605(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2156, 2459])).
% 0.78/1.05 tff(2461,plain,
% 0.78/1.05 (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[187, 2459])).
% 0.78/1.05 tff(2462,plain,
% 0.78/1.05 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[914, 2461])).
% 0.78/1.05 tff(2463,plain,
% 0.78/1.05 (p601(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2248, 2462, 265, 2460])).
% 0.78/1.05 tff(2464,plain,
% 0.78/1.05 (~p401(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[94, 2463])).
% 0.78/1.05 tff(2465,plain,
% 0.78/1.05 (~p301(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2200, 2463])).
% 0.78/1.05 tff(2466,plain,
% 0.78/1.05 (~p402(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[587, 2456])).
% 0.78/1.05 tff(2467,plain,
% 0.78/1.05 (~p201(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2258, 2463])).
% 0.78/1.05 tff(2468,plain,
% 0.78/1.05 (~p202(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[329, 2456])).
% 0.78/1.05 tff(2469,plain,
% 0.78/1.05 (![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[168, 728, 117, 1806, 2])).
% 0.78/1.05 tff(2470,plain,
% 0.78/1.05 ((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[162, 2469])).
% 0.78/1.05 tff(2471,plain,
% 0.78/1.05 (p303(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1810, 728, 429, 1526, 117, 3, 2])).
% 0.78/1.05 tff(2472,plain,
% 0.78/1.05 (~p403(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[413, 2471])).
% 0.78/1.05 tff(2473,plain,
% 0.78/1.05 (p404(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[358, 2472, 339, 1530, 264])).
% 0.78/1.05 tff(2474,plain,
% 0.78/1.05 ($false),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[725, 2473, 2470])).
% 0.78/1.05 tff(2475,plain,(![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | p402(X!0) | p401(X!0) | p202(X!0) | p201(X!0) | p302(X!0) | (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))) | p301(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.78/1.05 tff(2476,plain,
% 0.78/1.05 (![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2475, 2464, 2466, 2468, 2467, 2457, 2459, 2465])).
% 0.78/1.05 tff(2477,plain,
% 0.78/1.05 ((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[76, 2476])).
% 0.78/1.05 tff(2478,plain,
% 0.78/1.05 (~p403(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[604, 2477])).
% 0.78/1.05 tff(2479,plain,
% 0.78/1.05 (~p303(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[647, 2477])).
% 0.78/1.05 tff(2480,plain,
% 0.78/1.05 ($false),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1731, 2479, 2478, 2457, 1460, 2466, 2465, 1223, 265, 2464])).
% 0.78/1.05 tff(2481,plain,(![Y: $i] : (p103(Y) | (~r1(X!0, Y))) | p101(X!0) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.78/1.05 tff(2482,plain,
% 0.78/1.05 (![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2481, 1223, 265, 1319])).
% 0.78/1.05 tff(2483,plain,
% 0.78/1.05 ((~r1(X!0, tptp_fun_Y_7(X!0))) | p103(tptp_fun_Y_7(X!0))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1002, 2482])).
% 0.78/1.05 tff(2484,plain,
% 0.78/1.05 (~p303(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1047, 2483])).
% 0.78/1.05 tff(2485,plain,
% 0.78/1.05 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1253, 2483])).
% 0.78/1.05 tff(2486,plain,
% 0.78/1.05 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[76, 2485])).
% 0.78/1.05 tff(2487,plain,
% 0.78/1.05 (~p403(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1094, 2483])).
% 0.78/1.05 tff(2488,assumption,(p605(X!0)), introduced(assumption)).
% 0.78/1.05 tff(2489,plain,
% 0.78/1.05 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1834, 2488])).
% 0.78/1.05 tff(2490,plain,
% 0.78/1.05 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[258, 2489])).
% 0.78/1.05 tff(2491,plain,
% 0.78/1.05 (![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[488, 2490, 429, 457, 3])).
% 0.78/1.05 tff(2492,plain,
% 0.78/1.05 ((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[547, 2491])).
% 0.78/1.05 tff(2493,plain,
% 0.78/1.05 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[891, 2492])).
% 0.78/1.05 tff(2494,plain,
% 0.78/1.05 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[162, 2493])).
% 0.78/1.05 tff(2495,plain,
% 0.78/1.05 (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1855, 2488])).
% 0.78/1.05 tff(2496,plain,
% 0.78/1.05 (~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[225, 2495])).
% 0.78/1.05 tff(2497,plain,
% 0.78/1.05 (~p404(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[469, 2492])).
% 0.78/1.05 tff(2498,plain,
% 0.78/1.05 (p401(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[358, 2497, 339, 803, 2496])).
% 0.78/1.05 tff(2499,plain,
% 0.78/1.05 (~p201(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[104, 2498])).
% 0.78/1.05 tff(2500,plain,
% 0.78/1.05 ($false),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[168, 2499, 2494, 117, 728, 119])).
% 0.78/1.05 tff(2501,plain,((~p605(X!0)) | p202(X!0) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p402(X!0) | p403(X!0) | p302(X!0) | p303(X!0) | p301(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.78/1.05 tff(2502,plain,
% 0.78/1.05 (~p605(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2501, 3, 728, 119, 339, 803, 429, 457, 117])).
% 0.78/1.05 tff(2503,plain,
% 0.78/1.05 (p601(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2248, 2502, 265, 119])).
% 0.78/1.05 tff(2504,plain,
% 0.78/1.05 (~p401(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[94, 2503])).
% 0.78/1.05 tff(2505,plain,
% 0.78/1.05 (~p201(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2258, 2503])).
% 0.78/1.05 tff(2506,plain,
% 0.78/1.05 (![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[168, 2505, 117, 728, 119])).
% 0.78/1.05 tff(2507,plain,
% 0.78/1.05 ((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[162, 2506])).
% 0.78/1.05 tff(2508,plain,
% 0.78/1.05 (~p404(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[725, 2507])).
% 0.78/1.05 tff(2509,plain,
% 0.78/1.05 (![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[358, 2508, 339, 803, 2504])).
% 0.78/1.05 tff(2510,plain,
% 0.78/1.05 (p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[225, 2509])).
% 0.78/1.05 tff(2511,plain,
% 0.78/1.05 (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[891, 2507])).
% 0.78/1.05 tff(2512,plain,
% 0.78/1.05 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[547, 2511])).
% 0.78/1.05 tff(2513,plain,
% 0.78/1.05 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[488, 2512, 429, 457, 3])).
% 0.78/1.05 tff(2514,plain,
% 0.78/1.05 (p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[258, 2513])).
% 0.78/1.05 tff(2515,plain,
% 0.78/1.05 ($false),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[537, 2514, 2510])).
% 0.78/1.05 tff(2516,plain,(p301(X!0) | p302(X!0) | p303(X!0) | p402(X!0) | p403(X!0) | p202(X!0) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.78/1.05 tff(2517,plain,
% 0.78/1.05 (p301(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2516, 119, 457, 339, 803, 117, 728, 429, 265])).
% 0.78/1.05 tff(2518,plain,
% 0.78/1.05 (~p401(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[114, 2517])).
% 0.78/1.05 tff(2519,plain,
% 0.78/1.05 (~p201(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1453, 2517])).
% 0.78/1.05 tff(2520,plain,
% 0.78/1.05 (![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[168, 2519, 117, 728, 119])).
% 0.78/1.05 tff(2521,plain,
% 0.78/1.05 ((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[162, 2520])).
% 0.78/1.05 tff(2522,plain,
% 0.78/1.05 (~p404(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[725, 2521])).
% 0.78/1.05 tff(2523,plain,
% 0.78/1.05 (~p601(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2200, 2517])).
% 0.78/1.05 tff(2524,plain,
% 0.78/1.05 (p605(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2248, 2523, 265, 119])).
% 0.78/1.05 tff(2525,plain,
% 0.78/1.05 (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1855, 2524])).
% 0.78/1.05 tff(2526,plain,
% 0.78/1.05 (~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[225, 2525])).
% 0.78/1.05 tff(2527,plain,
% 0.78/1.05 ($false),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[358, 2526, 2522, 339, 803, 2518])).
% 0.78/1.05 tff(2528,plain,(![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p402(X!0) | p403(X!0) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | p202(X!0) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | p303(X!0) | p302(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.78/1.05 tff(2529,plain,
% 0.78/1.05 (![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2528, 2466, 2487, 265, 2468, 2486, 2484, 2457])).
% 0.78/1.05 tff(2530,plain,
% 0.78/1.05 (p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[914, 2529])).
% 0.78/1.05 tff(2531,plain,
% 0.78/1.05 (~p605(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1863, 2530])).
% 0.78/1.05 tff(2532,plain,
% 0.78/1.05 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[242, 2530])).
% 0.78/1.05 tff(2533,plain,
% 0.78/1.05 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[258, 2532])).
% 0.78/1.05 tff(2534,plain,
% 0.78/1.05 (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[213, 2530])).
% 0.78/1.05 tff(2535,plain,
% 0.78/1.05 (~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[225, 2534])).
% 0.78/1.05 tff(2536,plain,
% 0.78/1.05 (p401(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[358, 1931, 339, 803, 263])).
% 0.78/1.05 tff(2537,plain,
% 0.78/1.05 (~p604(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[517, 1837])).
% 0.78/1.05 tff(2538,plain,
% 0.78/1.05 (p601(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1824, 2537, 174])).
% 0.78/1.05 tff(2539,plain,
% 0.78/1.05 ($false),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[94, 2538, 2536])).
% 0.78/1.05 tff(2540,plain,((~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))) | p605(X!0) | p402(X!0) | p403(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.78/1.05 tff(2541,plain,
% 0.78/1.05 (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2540, 2531, 2466, 2487, 2535])).
% 0.78/1.05 tff(2542,plain,
% 0.78/1.05 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[547, 2541])).
% 0.78/1.05 tff(2543,plain,
% 0.78/1.05 (p301(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[488, 2542, 2457, 2484, 2533])).
% 0.78/1.05 tff(2544,plain,
% 0.78/1.05 (~p401(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[114, 2543])).
% 0.78/1.05 tff(2545,plain,
% 0.78/1.05 (~p601(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2200, 2543])).
% 0.78/1.05 tff(2546,plain,
% 0.78/1.05 ($false),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2142, 2545, 2544, 2531])).
% 0.78/1.05 tff(2547,plain,(p101(X!0) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.78/1.05 tff(2548,plain,
% 0.78/1.05 (![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2547, 1944])).
% 0.78/1.05 tff(2549,plain,
% 0.78/1.05 (![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2548, 1845])).
% 0.78/1.05 tff(2550,plain,
% 0.78/1.05 ((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1126, 2549])).
% 0.78/1.05 tff(2551,plain,
% 0.78/1.05 (~p502(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1772, 2550])).
% 0.78/1.05 tff(2552,plain,
% 0.78/1.05 ($false),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[132, 2551, 1843, 120, 1, 1838])).
% 0.78/1.05 tff(2553,plain,((~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))) | p505(X!0) | p501(X!0) | p201(X!0) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p202(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.78/1.05 tff(2554,plain,
% 0.78/1.05 (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2553, 120, 1, 2, 117, 119])).
% 0.78/1.05 tff(2555,plain,
% 0.78/1.05 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[547, 2554])).
% 0.78/1.05 tff(2556,plain,
% 0.78/1.05 (p303(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[488, 429, 3, 2555, 260])).
% 0.78/1.05 tff(2557,plain,
% 0.78/1.05 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[647, 2556])).
% 0.78/1.05 tff(2558,plain,
% 0.78/1.05 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1915, 429, 3, 118, 260, 120, 1])).
% 0.78/1.05 tff(2559,plain,
% 0.78/1.05 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[162, 2558])).
% 0.78/1.05 tff(2560,plain,
% 0.78/1.05 (![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[168, 2559, 117, 2, 119])).
% 0.78/1.05 tff(2561,plain,
% 0.78/1.05 ($false),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[76, 2560, 2557])).
% 0.78/1.05 tff(2562,plain,(p302(X!0) | p202(X!0) | p201(X!0) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p301(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p502(X!0) | p505(X!0) | p501(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.78/1.05 tff(2563,plain,
% 0.78/1.05 (p302(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2562, 1836, 2, 119, 3, 117, 118, 120, 1])).
% 0.78/1.05 tff(2564,plain,
% 0.78/1.05 (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1167, 2563])).
% 0.78/1.05 tff(2565,plain,
% 0.78/1.05 (~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1126, 2564])).
% 0.78/1.05 tff(2566,plain,
% 0.78/1.05 (![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2548, 2565])).
% 0.78/1.05 tff(2567,plain,
% 0.78/1.05 ((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1102, 2566])).
% 0.78/1.05 tff(2568,plain,
% 0.78/1.05 (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2156, 1825])).
% 0.78/1.05 tff(2569,plain,
% 0.78/1.05 (~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[203, 2568])).
% 0.78/1.05 tff(2570,plain,
% 0.78/1.05 ((~p503(X!0)) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p202(X!0) | p201(X!0) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1382, 1944])).
% 0.78/1.05 tff(2571,plain,
% 0.78/1.05 (~p503(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2570, 2565, 119, 117, 2, 2569])).
% 0.78/1.05 tff(2572,plain,
% 0.78/1.05 (p504(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[132, 2571, 1, 120, 118])).
% 0.78/1.05 tff(2573,plain,
% 0.78/1.05 ($false),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[951, 2572, 2567])).
% 0.78/1.05 tff(2574,plain,(p505(X!0) | p501(X!0) | p502(X!0) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p202(X!0) | p201(X!0) | p301(X!0) | p601(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.78/1.05 tff(2575,plain,
% 0.78/1.05 (p505(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2574, 119, 118, 1, 117, 2, 3, 116])).
% 0.78/1.05 tff(2576,plain,
% 0.78/1.05 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[453, 2575])).
% 0.78/1.05 tff(2577,plain,
% 0.78/1.05 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[258, 2576])).
% 0.78/1.05 tff(2578,plain,
% 0.78/1.05 (~p605(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1871, 2575])).
% 0.78/1.05 tff(2579,plain,
% 0.78/1.05 (p604(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1824, 2578, 116])).
% 0.78/1.05 tff(2580,plain,
% 0.78/1.05 (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[517, 2579])).
% 0.78/1.05 tff(2581,plain,
% 0.78/1.05 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[547, 2580])).
% 0.78/1.05 tff(2582,plain,
% 0.78/1.05 (![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2248, 2578, 116, 119])).
% 0.78/1.05 tff(2583,plain,
% 0.78/1.05 ((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1126, 2582])).
% 0.78/1.05 tff(2584,plain,
% 0.78/1.05 (~p302(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1167, 2583])).
% 0.78/1.05 tff(2585,plain,
% 0.78/1.05 (p303(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[488, 2584, 3, 2581, 2577])).
% 0.78/1.05 tff(2586,plain,
% 0.78/1.05 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[146, 2579])).
% 0.78/1.05 tff(2587,plain,
% 0.78/1.05 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[162, 2586])).
% 0.78/1.05 tff(2588,plain,
% 0.78/1.05 (![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[168, 2587, 117, 2, 119])).
% 0.78/1.05 tff(2589,plain,
% 0.78/1.05 ((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[76, 2588])).
% 0.78/1.05 tff(2590,plain,
% 0.78/1.05 ($false),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[647, 2589, 2585])).
% 0.78/1.05 tff(2591,plain,(![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p301(X!0) | p202(X!0) | p201(X!0) | p601(X!0) | p502(X!0) | p501(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.78/1.05 tff(2592,plain,
% 0.78/1.05 (![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2591, 118, 117, 2, 116, 3, 1])).
% 0.78/1.05 tff(2593,plain,
% 0.78/1.05 (p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[914, 2592])).
% 0.78/1.05 tff(2594,plain,
% 0.78/1.05 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[242, 2593])).
% 0.78/1.05 tff(2595,plain,
% 0.78/1.05 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[258, 2594])).
% 0.78/1.05 tff(2596,plain,
% 0.78/1.05 (~p605(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1863, 2593])).
% 0.78/1.05 tff(2597,plain,
% 0.78/1.05 (p604(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1824, 2596, 116])).
% 0.78/1.05 tff(2598,plain,
% 0.78/1.05 (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[517, 2597])).
% 0.78/1.05 tff(2599,plain,
% 0.78/1.05 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[547, 2598])).
% 0.78/1.05 tff(2600,plain,
% 0.78/1.05 (~p505(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[232, 2593])).
% 0.78/1.05 tff(2601,plain,
% 0.78/1.05 (~p504(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[130, 2597])).
% 0.78/1.05 tff(2602,plain,
% 0.78/1.05 (p503(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[132, 2601, 1, 2600, 118])).
% 0.78/1.05 tff(2603,plain,
% 0.78/1.05 (~p303(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[378, 2602])).
% 0.78/1.05 tff(2604,plain,
% 0.78/1.05 (p302(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[488, 2603, 3, 2599, 2595])).
% 0.78/1.05 tff(2605,plain,
% 0.78/1.05 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1968, 2597])).
% 0.78/1.05 tff(2606,plain,
% 0.78/1.05 (~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1102, 2605])).
% 0.78/1.05 tff(2607,plain,
% 0.78/1.05 (![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2548, 2606])).
% 0.78/1.05 tff(2608,plain,
% 0.78/1.05 ((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1126, 2607])).
% 0.78/1.05 tff(2609,plain,
% 0.78/1.05 ($false),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1167, 2608, 2604])).
% 0.78/1.05 tff(2610,plain,(p502(X!0) | p301(X!0) | p501(X!0) | p601(X!0) | p202(X!0) | p201(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.78/1.05 tff(2611,plain,
% 0.78/1.05 (p502(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2610, 117, 1, 116, 3, 2])).
% 0.78/1.05 tff(2612,plain,
% 0.78/1.05 (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1772, 2611])).
% 0.78/1.05 tff(2613,plain,
% 0.78/1.05 (~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1126, 2612])).
% 0.78/1.05 tff(2614,plain,
% 0.78/1.05 (![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2548, 2613])).
% 0.78/1.05 tff(2615,plain,
% 0.78/1.05 ((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1102, 2614])).
% 0.78/1.05 tff(2616,plain,
% 0.78/1.05 (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1073, 2615])).
% 0.78/1.05 tff(2617,plain,
% 0.78/1.05 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[547, 2616])).
% 0.78/1.05 tff(2618,plain,
% 0.78/1.05 (~p302(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[579, 2611])).
% 0.78/1.05 tff(2619,plain,
% 0.78/1.05 (~p604(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1968, 2615])).
% 0.78/1.05 tff(2620,plain,
% 0.78/1.05 (p605(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1824, 2619, 116])).
% 0.78/1.05 tff(2621,plain,
% 0.78/1.05 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1834, 2620])).
% 0.78/1.05 tff(2622,plain,
% 0.78/1.05 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[258, 2621])).
% 0.78/1.05 tff(2623,plain,
% 0.78/1.05 (p303(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[488, 2622, 3, 2618, 2617])).
% 0.78/1.05 tff(2624,plain,
% 0.78/1.05 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1314, 2615])).
% 0.78/1.05 tff(2625,plain,
% 0.78/1.05 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[162, 2624])).
% 0.78/1.05 tff(2626,plain,
% 0.78/1.05 (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1863, 2620])).
% 0.78/1.05 tff(2627,plain,
% 0.78/1.05 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[914, 2626])).
% 0.78/1.05 tff(2628,plain,
% 0.78/1.05 (![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[168, 2627, 117, 2, 2625])).
% 0.78/1.05 tff(2629,plain,
% 0.78/1.05 ((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[76, 2628])).
% 0.78/1.05 tff(2630,plain,
% 0.78/1.05 ($false),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[647, 2629, 2623])).
% 0.78/1.05 tff(2631,plain,(p202(X!0) | p301(X!0) | p201(X!0) | p601(X!0) | p501(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.78/1.05 tff(2632,plain,
% 0.78/1.05 (p202(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2631, 115, 105, 95, 88])).
% 0.78/1.05 tff(2633,plain,
% 0.78/1.05 (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1686, 2632])).
% 0.78/1.05 tff(2634,plain,
% 0.78/1.05 (~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1126, 2633])).
% 0.78/1.05 tff(2635,plain,
% 0.78/1.05 (![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2548, 2634])).
% 0.78/1.05 tff(2636,plain,
% 0.78/1.05 ((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1102, 2635])).
% 0.78/1.05 tff(2637,plain,
% 0.78/1.05 (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1073, 2636])).
% 0.78/1.05 tff(2638,plain,
% 0.78/1.05 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[547, 2637])).
% 0.78/1.05 tff(2639,plain,
% 0.78/1.05 (~p302(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[336, 2632])).
% 0.78/1.05 tff(2640,plain,
% 0.78/1.05 (~p604(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1968, 2636])).
% 0.78/1.05 tff(2641,plain,
% 0.78/1.05 (p605(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1824, 2640, 95])).
% 0.78/1.05 tff(2642,plain,
% 0.78/1.05 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1834, 2641])).
% 0.78/1.05 tff(2643,plain,
% 0.78/1.05 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[258, 2642])).
% 0.78/1.05 tff(2644,plain,
% 0.78/1.05 (~p504(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[951, 2636])).
% 0.78/1.05 tff(2645,plain,
% 0.78/1.05 (~p502(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[329, 2632])).
% 0.78/1.05 tff(2646,plain,
% 0.78/1.05 (~p505(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1871, 2641])).
% 0.78/1.05 tff(2647,plain,
% 0.78/1.05 (p503(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[132, 2646, 88, 2645, 2644])).
% 0.78/1.05 tff(2648,plain,
% 0.78/1.05 (~p303(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[378, 2647])).
% 0.78/1.05 tff(2649,plain,
% 0.78/1.05 ($false),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[488, 2648, 2643, 115, 2639, 2638])).
% 0.78/1.05 tff(2650,plain,(~p401(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.78/1.05 tff(2651,plain,
% 0.78/1.05 (~p601(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2200, 1692])).
% 0.78/1.05 tff(2652,plain,
% 0.78/1.05 (p605(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2142, 2651, 264])).
% 0.78/1.05 tff(2653,plain,
% 0.78/1.05 (~p505(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1871, 2652])).
% 0.78/1.05 tff(2654,plain,
% 0.78/1.05 (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1855, 2652])).
% 0.78/1.05 tff(2655,plain,
% 0.78/1.05 (~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[225, 2654])).
% 0.78/1.05 tff(2656,plain,
% 0.78/1.05 (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1863, 2652])).
% 0.78/1.05 tff(2657,plain,
% 0.78/1.05 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[914, 2656])).
% 0.78/1.05 tff(2658,plain,
% 0.78/1.05 (~p201(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1453, 1692])).
% 0.78/1.05 tff(2659,plain,
% 0.78/1.05 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1899, 118, 339, 264, 1, 120, 263])).
% 0.78/1.05 tff(2660,plain,
% 0.78/1.05 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[162, 2659])).
% 0.78/1.05 tff(2661,plain,
% 0.78/1.05 (![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[168, 2660, 2, 119, 117])).
% 0.78/1.05 tff(2662,plain,
% 0.78/1.05 ((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[76, 2661])).
% 0.78/1.05 tff(2663,plain,
% 0.78/1.05 (~p503(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[60, 2662])).
% 0.78/1.05 tff(2664,plain,
% 0.78/1.05 (p504(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[132, 2663, 120, 1, 118])).
% 0.78/1.05 tff(2665,plain,
% 0.78/1.05 (~p403(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[604, 2662])).
% 0.78/1.05 tff(2666,plain,
% 0.78/1.05 (p404(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[358, 2665, 264, 339, 263])).
% 0.78/1.05 tff(2667,plain,
% 0.78/1.05 ($false),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[352, 2666, 2664])).
% 0.78/1.05 tff(2668,plain,(p502(X!0) | p401(X!0) | p402(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p505(X!0) | p501(X!0) | p201(X!0) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p202(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.78/1.05 tff(2669,plain,
% 0.78/1.05 (p502(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2668, 117, 339, 263, 120, 1, 2, 119, 264])).
% 0.78/1.05 tff(2670,plain,
% 0.78/1.05 (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1772, 2669])).
% 0.78/1.05 tff(2671,plain,
% 0.78/1.05 (~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1126, 2670])).
% 0.78/1.05 tff(2672,plain,
% 0.78/1.05 (![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2548, 2671])).
% 0.78/1.05 tff(2673,plain,
% 0.78/1.05 ((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1102, 2672])).
% 0.78/1.05 tff(2674,plain,
% 0.78/1.05 (~p404(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1027, 2673])).
% 0.78/1.05 tff(2675,plain,
% 0.78/1.05 (p403(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[358, 2674, 264, 339, 263])).
% 0.78/1.05 tff(2676,plain,
% 0.78/1.05 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[604, 2675])).
% 0.78/1.05 tff(2677,plain,
% 0.78/1.05 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1314, 2673])).
% 0.78/1.05 tff(2678,plain,
% 0.78/1.05 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[162, 2677])).
% 0.78/1.05 tff(2679,plain,
% 0.78/1.05 (![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[168, 2678, 2, 119, 117])).
% 0.78/1.05 tff(2680,plain,
% 0.78/1.05 ($false),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[76, 2679, 2676])).
% 0.78/1.05 tff(2681,plain,(p202(X!0) | p201(X!0) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p401(X!0) | p402(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p505(X!0) | p501(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.78/1.05 tff(2682,plain,
% 0.78/1.05 (p202(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2681, 2658, 2657, 264, 339, 2655, 2653, 1694])).
% 0.78/1.05 tff(2683,plain,
% 0.78/1.05 (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1686, 2682])).
% 0.78/1.05 tff(2684,plain,
% 0.78/1.05 (~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1126, 2683])).
% 0.78/1.05 tff(2685,plain,
% 0.78/1.05 (![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2548, 2684])).
% 0.78/1.05 tff(2686,plain,
% 0.78/1.05 ((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1102, 2685])).
% 0.78/1.05 tff(2687,plain,
% 0.78/1.05 (~p502(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[329, 2682])).
% 0.78/1.05 tff(2688,plain,
% 0.78/1.05 (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2156, 2652])).
% 0.78/1.05 tff(2689,plain,
% 0.78/1.05 (~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[203, 2688])).
% 0.78/1.05 tff(2690,plain,
% 0.78/1.05 ((~p503(X!0)) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | p402(X!0) | p401(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1233, 1944])).
% 0.78/1.05 tff(2691,plain,
% 0.78/1.05 (~p503(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2690, 2684, 2689, 339, 2655, 264])).
% 0.78/1.05 tff(2692,plain,
% 0.78/1.05 (p504(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[132, 2691, 2653, 1694, 2687])).
% 0.78/1.05 tff(2693,plain,
% 0.78/1.05 ($false),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[951, 2692, 2686])).
% 0.78/1.05 tff(2694,plain,((~p301(X!0)) | p402(X!0) | p401(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.78/1.05 tff(2695,plain,
% 0.78/1.05 (~p301(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2694, 264, 339])).
% 0.78/1.05 tff(2696,plain,
% 0.78/1.05 (p601(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2070, 2212, 264, 3])).
% 0.78/1.05 tff(2697,plain,
% 0.78/1.05 (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[232, 1320])).
% 0.78/1.05 tff(2698,plain,
% 0.78/1.05 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[914, 2697])).
% 0.78/1.05 tff(2699,plain,
% 0.78/1.05 (p201(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1893, 2698, 429, 264, 3, 263, 117, 339, 1328])).
% 0.78/1.05 tff(2700,plain,
% 0.78/1.05 ($false),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2258, 2699, 2696])).
% 0.78/1.05 tff(2701,plain,((~p505(X!0)) | p302(X!0) | p401(X!0) | p301(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p202(X!0) | p402(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.78/1.05 tff(2702,plain,
% 0.78/1.05 (~p505(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2701, 117, 264, 3, 263, 429, 339])).
% 0.78/1.05 tff(2703,plain,
% 0.78/1.05 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[488, 1036, 3, 429, 457])).
% 0.78/1.05 tff(2704,plain,
% 0.78/1.05 (p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[258, 2703])).
% 0.78/1.05 tff(2705,plain,
% 0.78/1.05 (~p505(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[453, 2704])).
% 0.78/1.05 tff(2706,plain,
% 0.78/1.05 (p503(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[132, 2705, 1, 1461, 118])).
% 0.78/1.05 tff(2707,plain,
% 0.78/1.05 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[60, 2706])).
% 0.78/1.05 tff(2708,plain,
% 0.78/1.05 (~p605(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1834, 2704])).
% 0.78/1.05 tff(2709,plain,
% 0.78/1.05 (p601(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2070, 2708, 264, 3])).
% 0.78/1.05 tff(2710,plain,
% 0.78/1.05 (~p201(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2258, 2709])).
% 0.78/1.05 tff(2711,plain,
% 0.78/1.05 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[725, 431])).
% 0.78/1.05 tff(2712,plain,
% 0.78/1.05 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[162, 2711])).
% 0.78/1.05 tff(2713,plain,
% 0.78/1.05 (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[242, 2704])).
% 0.78/1.05 tff(2714,plain,
% 0.78/1.05 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[914, 2713])).
% 0.78/1.05 tff(2715,plain,
% 0.78/1.05 (![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[168, 2714, 117, 2712, 2710])).
% 0.78/1.05 tff(2716,plain,
% 0.78/1.05 ($false),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[76, 2715, 2707])).
% 0.78/1.05 tff(2717,plain,((~p404(X!0)) | p202(X!0) | p401(X!0) | p301(X!0) | p501(X!0) | p502(X!0) | p302(X!0) | p303(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.78/1.05 tff(2718,plain,
% 0.78/1.05 (~p404(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2717, 457, 264, 3, 1, 118, 429, 117])).
% 0.78/1.05 tff(2719,plain,
% 0.78/1.05 (p403(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[358, 2718, 264, 339, 263])).
% 0.78/1.05 tff(2720,plain,
% 0.78/1.05 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[604, 2719])).
% 0.78/1.05 tff(2721,plain,
% 0.78/1.05 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[76, 2720])).
% 0.78/1.05 tff(2722,plain,
% 0.78/1.05 (p201(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1893, 260, 429, 264, 3, 263, 117, 339, 119])).
% 0.78/1.05 tff(2723,plain,
% 0.78/1.05 (~p601(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2258, 2722])).
% 0.78/1.05 tff(2724,plain,
% 0.78/1.05 (p605(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2142, 2723, 264])).
% 0.78/1.05 tff(2725,plain,
% 0.78/1.05 (![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[488, 260, 3, 429, 457])).
% 0.78/1.05 tff(2726,plain,
% 0.78/1.05 ((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[547, 2725])).
% 0.78/1.05 tff(2727,plain,
% 0.78/1.05 (p505(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1935, 2726, 1, 118, 264, 339, 263])).
% 0.78/1.05 tff(2728,plain,
% 0.78/1.05 ($false),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1871, 2727, 2724])).
% 0.78/1.05 tff(2729,plain,(![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p501(X!0) | p502(X!0) | p401(X!0) | p402(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p301(X!0) | p302(X!0) | p303(X!0) | p202(X!0) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.78/1.05 tff(2730,plain,
% 0.78/1.05 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2729, 119, 118, 264, 339, 263, 3, 429, 457, 117, 1])).
% 0.78/1.05 tff(2731,plain,
% 0.78/1.05 (p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[258, 2730])).
% 0.78/1.05 tff(2732,plain,
% 0.78/1.05 (~p505(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[453, 2731])).
% 0.78/1.05 tff(2733,plain,
% 0.78/1.05 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1899, 2732, 339, 264, 263, 1, 118])).
% 0.78/1.05 tff(2734,plain,
% 0.78/1.05 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[162, 2733])).
% 0.78/1.05 tff(2735,plain,
% 0.78/1.05 (~p605(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1834, 2731])).
% 0.78/1.05 tff(2736,plain,
% 0.78/1.05 (p601(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2070, 2735, 264, 3])).
% 0.78/1.05 tff(2737,plain,
% 0.78/1.05 (~p201(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2258, 2736])).
% 0.78/1.05 tff(2738,plain,
% 0.78/1.05 ($false),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[168, 2737, 2734, 117, 2721, 119])).
% 0.78/1.05 tff(2739,plain,(![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p202(X!0) | p401(X!0) | p301(X!0) | p402(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p501(X!0) | p502(X!0) | p302(X!0) | p303(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.78/1.05 tff(2740,plain,
% 0.78/1.05 (![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2739, 457, 264, 3, 339, 263, 1, 118, 429, 117])).
% 0.78/1.05 tff(2741,plain,
% 0.78/1.05 (p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[914, 2740])).
% 0.78/1.05 tff(2742,plain,
% 0.78/1.05 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[242, 2741])).
% 0.78/1.05 tff(2743,plain,
% 0.78/1.05 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[258, 2742])).
% 0.78/1.05 tff(2744,plain,
% 0.78/1.05 (~p505(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[232, 2741])).
% 0.78/1.05 tff(2745,plain,
% 0.78/1.05 (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1935, 2744, 1, 118, 264, 339, 263])).
% 0.78/1.05 tff(2746,plain,
% 0.78/1.05 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[547, 2745])).
% 0.78/1.05 tff(2747,plain,
% 0.78/1.05 ($false),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[488, 2746, 2743, 3, 429, 457])).
% 0.78/1.05 tff(2748,plain,(p303(X!0) | p301(X!0) | p302(X!0) | p501(X!0) | p502(X!0) | p401(X!0) | p402(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p202(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.78/1.05 tff(2749,plain,
% 0.78/1.05 (p303(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2748, 118, 429, 1, 3, 264, 339, 263, 117])).
% 0.78/1.05 tff(2750,plain,
% 0.78/1.05 (~p503(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[378, 2749])).
% 0.78/1.05 tff(2751,plain,
% 0.78/1.05 (p504(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[132, 2750, 1, 2702, 118])).
% 0.78/1.05 tff(2752,plain,
% 0.78/1.05 (~p403(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[413, 2749])).
% 0.78/1.05 tff(2753,plain,
% 0.78/1.05 (p404(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[358, 2752, 264, 339, 263])).
% 0.78/1.05 tff(2754,plain,
% 0.78/1.05 ($false),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[352, 2753, 2751])).
% 0.78/1.05 tff(2755,plain,(p502(X!0) | p401(X!0) | p402(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p501(X!0) | p302(X!0) | p301(X!0) | p202(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.78/1.05 tff(2756,plain,
% 0.78/1.05 (p502(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2755, 117, 339, 263, 1, 429, 3, 264])).
% 0.78/1.05 tff(2757,plain,
% 0.78/1.05 (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1772, 2756])).
% 0.78/1.05 tff(2758,plain,
% 0.78/1.05 (~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1126, 2757])).
% 0.78/1.05 tff(2759,plain,
% 0.78/1.05 (![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2548, 2758])).
% 0.78/1.05 tff(2760,plain,
% 0.78/1.05 ((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1102, 2759])).
% 0.78/1.05 tff(2761,plain,
% 0.78/1.05 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1314, 2760])).
% 0.78/1.05 tff(2762,plain,
% 0.78/1.05 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[162, 2761])).
% 0.78/1.05 tff(2763,plain,
% 0.78/1.05 (~p404(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1027, 2760])).
% 0.78/1.05 tff(2764,plain,
% 0.78/1.05 (p403(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[358, 2763, 264, 339, 263])).
% 0.78/1.05 tff(2765,plain,
% 0.78/1.05 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[604, 2764])).
% 0.78/1.05 tff(2766,plain,
% 0.78/1.05 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[76, 2765])).
% 0.78/1.05 tff(2767,plain,
% 0.78/1.05 (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1073, 2760])).
% 0.78/1.05 tff(2768,plain,
% 0.78/1.05 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[547, 2767])).
% 0.78/1.05 tff(2769,plain,
% 0.78/1.05 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[591, 2768, 3, 2756, 2763, 264, 263])).
% 0.78/1.05 tff(2770,plain,
% 0.78/1.05 (p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[258, 2769])).
% 0.78/1.05 tff(2771,plain,
% 0.78/1.05 (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[242, 2770])).
% 0.78/1.05 tff(2772,plain,
% 0.78/1.05 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[914, 2771])).
% 0.78/1.05 tff(2773,plain,
% 0.78/1.05 (~p605(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1834, 2770])).
% 0.78/1.05 tff(2774,plain,
% 0.78/1.05 (p601(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2070, 2773, 264, 3])).
% 0.78/1.05 tff(2775,plain,
% 0.78/1.05 (~p201(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2258, 2774])).
% 0.78/1.05 tff(2776,plain,
% 0.78/1.05 ($false),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[168, 2775, 2772, 117, 2766, 2762])).
% 0.78/1.05 tff(2777,plain,(p202(X!0) | p401(X!0) | p301(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p402(X!0) | p501(X!0) | p302(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.78/1.05 tff(2778,plain,
% 0.78/1.05 (p202(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2777, 1, 3, 263, 339, 264, 429])).
% 0.78/1.05 tff(2779,plain,
% 0.78/1.05 (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1686, 2778])).
% 0.78/1.05 tff(2780,plain,
% 0.78/1.05 (~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1126, 2779])).
% 0.78/1.05 tff(2781,plain,
% 0.78/1.05 (![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2548, 2780])).
% 0.78/1.05 tff(2782,plain,
% 0.78/1.05 ((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1102, 2781])).
% 0.78/1.05 tff(2783,plain,
% 0.78/1.05 (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1073, 2782])).
% 0.78/1.05 tff(2784,plain,
% 0.78/1.05 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[547, 2783])).
% 0.78/1.05 tff(2785,plain,
% 0.78/1.05 (~p404(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1027, 2782])).
% 0.78/1.05 tff(2786,plain,
% 0.78/1.05 (p403(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[358, 2785, 264, 339, 263])).
% 0.78/1.05 tff(2787,plain,
% 0.78/1.05 (~p303(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[413, 2786])).
% 0.78/1.05 tff(2788,plain,
% 0.78/1.05 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[488, 2787, 3, 429, 2784])).
% 0.78/1.05 tff(2789,plain,
% 0.78/1.05 (~p504(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[951, 2782])).
% 0.78/1.05 tff(2790,plain,
% 0.78/1.05 (~p502(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[329, 2778])).
% 0.78/1.05 tff(2791,plain,
% 0.78/1.05 (~p503(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[499, 2786])).
% 0.78/1.05 tff(2792,plain,
% 0.78/1.05 (p505(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[132, 2791, 1, 2790, 2789])).
% 0.78/1.05 tff(2793,plain,
% 0.78/1.05 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[453, 2792])).
% 0.78/1.05 tff(2794,plain,
% 0.78/1.05 ($false),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[258, 2793, 2788])).
% 0.78/1.05 tff(2795,plain,(p501(X!0) | p301(X!0) | p302(X!0) | p401(X!0) | p402(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.78/1.05 tff(2796,plain,
% 0.78/1.05 (p501(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2795, 263, 429, 264, 339, 3])).
% 0.78/1.05 tff(2797,plain,
% 0.78/1.05 (~p601(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1953, 2796])).
% 0.78/1.05 tff(2798,plain,
% 0.78/1.05 (p605(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2142, 2797, 264])).
% 0.78/1.05 tff(2799,plain,
% 0.78/1.05 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1834, 2798])).
% 0.78/1.05 tff(2800,plain,
% 0.78/1.05 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[258, 2799])).
% 0.78/1.05 tff(2801,plain,
% 0.78/1.05 (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1863, 2798])).
% 0.78/1.05 tff(2802,plain,
% 0.78/1.05 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[914, 2801])).
% 0.78/1.05 tff(2803,plain,
% 0.78/1.05 (~p201(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1442, 2796])).
% 0.78/1.05 tff(2804,plain,
% 0.78/1.05 (p202(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1893, 2800, 429, 264, 3, 263, 2803, 339, 2802])).
% 0.78/1.05 tff(2805,plain,
% 0.78/1.05 (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1686, 2804])).
% 0.78/1.05 tff(2806,plain,
% 0.78/1.05 (~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1126, 2805])).
% 0.78/1.05 tff(2807,plain,
% 0.78/1.05 (![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2548, 2806])).
% 0.78/1.05 tff(2808,plain,
% 0.78/1.05 ((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1102, 2807])).
% 0.78/1.05 tff(2809,plain,
% 0.78/1.05 (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1073, 2808])).
% 0.78/1.05 tff(2810,plain,
% 0.78/1.05 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[547, 2809])).
% 0.78/1.05 tff(2811,plain,
% 0.78/1.05 (~p404(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1027, 2808])).
% 0.78/1.05 tff(2812,plain,
% 0.78/1.05 (p403(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[358, 2811, 264, 339, 263])).
% 0.78/1.05 tff(2813,plain,
% 0.78/1.05 (~p303(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[413, 2812])).
% 0.78/1.05 tff(2814,plain,
% 0.78/1.05 ($false),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[488, 2813, 2810, 3, 429, 2800])).
% 0.78/1.05 tff(2815,plain,(![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p301(X!0) | p302(X!0) | p401(X!0) | p402(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.78/1.05 tff(2816,plain,
% 0.78/1.05 (![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2815, 3, 429, 264, 339])).
% 0.78/1.05 tff(2817,plain,
% 0.78/1.05 (p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[225, 2816])).
% 0.78/1.05 tff(2818,plain,
% 0.78/1.05 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[537, 2817])).
% 0.78/1.05 tff(2819,plain,
% 0.78/1.05 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[258, 2818])).
% 0.78/1.05 tff(2820,plain,
% 0.78/1.05 (~p605(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1855, 2817])).
% 0.78/1.05 tff(2821,plain,
% 0.78/1.05 (p601(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2070, 2820, 264, 3])).
% 0.78/1.05 tff(2822,plain,
% 0.78/1.05 (~p501(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1953, 2821])).
% 0.78/1.05 tff(2823,plain,
% 0.78/1.05 (~p505(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[401, 2817])).
% 0.78/1.05 tff(2824,plain,
% 0.78/1.05 (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[213, 2817])).
% 0.78/1.05 tff(2825,plain,
% 0.78/1.05 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[914, 2824])).
% 0.78/1.05 tff(2826,plain,
% 0.78/1.05 (~p201(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2258, 2821])).
% 0.78/1.05 tff(2827,plain,
% 0.78/1.05 (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2553, 117, 2822, 2826, 2825, 2823])).
% 0.78/1.05 tff(2828,plain,
% 0.78/1.05 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[547, 2827])).
% 0.78/1.05 tff(2829,plain,
% 0.78/1.05 (p303(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[488, 2828, 3, 429, 2819])).
% 0.78/1.05 tff(2830,plain,
% 0.78/1.05 (~((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[647, 2829])).
% 0.78/1.05 tff(2831,plain,
% 0.78/1.05 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[76, 2830])).
% 0.78/1.05 tff(2832,plain,
% 0.78/1.05 (![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[168, 2831, 2826, 2825, 117])).
% 0.78/1.05 tff(2833,plain,
% 0.78/1.05 ((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[162, 2832])).
% 0.78/1.05 tff(2834,plain,
% 0.78/1.05 (p502(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1915, 2833, 429, 3, 2819, 2823, 2822])).
% 0.78/1.05 tff(2835,plain,
% 0.78/1.05 (~p403(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[413, 2829])).
% 0.78/1.05 tff(2836,plain,
% 0.78/1.05 (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1787, 2831, 264, 339, 117, 2835, 2826])).
% 0.78/1.05 tff(2837,plain,
% 0.78/1.05 (~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1102, 2836])).
% 0.78/1.05 tff(2838,plain,
% 0.78/1.05 (![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2548, 2837])).
% 0.78/1.05 tff(2839,plain,
% 0.78/1.05 ((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1126, 2838])).
% 0.78/1.05 tff(2840,plain,
% 0.78/1.05 ($false),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1772, 2839, 2834])).
% 0.78/1.05 tff(2841,plain,(p202(X!0) | p302(X!0) | p301(X!0) | p401(X!0) | p402(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.78/1.05 tff(2842,plain,
% 0.78/1.05 (p202(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2841, 3, 429, 264, 339])).
% 0.78/1.05 tff(2843,plain,
% 0.78/1.05 (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1686, 2842])).
% 0.78/1.05 tff(2844,plain,
% 0.78/1.05 (~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1126, 2843])).
% 0.78/1.05 tff(2845,plain,
% 0.78/1.05 (![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2548, 2844])).
% 0.78/1.05 tff(2846,plain,
% 0.78/1.05 ((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1102, 2845])).
% 0.78/1.05 tff(2847,plain,
% 0.78/1.05 (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1073, 2846])).
% 0.78/1.05 tff(2848,plain,
% 0.78/1.05 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[547, 2847])).
% 0.78/1.05 tff(2849,plain,
% 0.78/1.05 (~p502(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[329, 2842])).
% 0.78/1.05 tff(2850,plain,
% 0.78/1.05 (~p504(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[951, 2846])).
% 0.78/1.05 tff(2851,plain,
% 0.78/1.05 (p503(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[132, 2850, 2823, 2822, 2849])).
% 0.78/1.05 tff(2852,plain,
% 0.78/1.05 (~p303(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[378, 2851])).
% 0.78/1.05 tff(2853,plain,
% 0.78/1.05 ($false),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[488, 2852, 2848, 3, 429, 2819])).
% 0.78/1.05 tff(2854,plain,(p301(X!0) | p302(X!0) | p401(X!0) | p402(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.78/1.05 tff(2855,plain,
% 0.78/1.05 (p302(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2854, 2695, 264, 339])).
% 0.78/1.05 tff(2856,plain,
% 0.78/1.05 (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1167, 2855])).
% 0.78/1.05 tff(2857,plain,
% 0.78/1.05 (~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1126, 2856])).
% 0.78/1.05 tff(2858,plain,
% 0.78/1.05 (![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2548, 2857])).
% 0.78/1.05 tff(2859,plain,
% 0.78/1.05 ((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1102, 2858])).
% 0.78/1.05 tff(2860,plain,
% 0.78/1.05 (~p404(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1027, 2859])).
% 0.78/1.05 tff(2861,plain,
% 0.78/1.05 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1314, 2859])).
% 0.78/1.05 tff(2862,plain,
% 0.78/1.05 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[162, 2861])).
% 0.78/1.05 tff(2863,plain,
% 0.78/1.05 (~p202(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[336, 2855])).
% 0.78/1.05 tff(2864,plain,
% 0.78/1.05 (~p502(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[579, 2855])).
% 0.78/1.05 tff(2865,plain,
% 0.78/1.05 (~p504(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[951, 2859])).
% 0.78/1.05 tff(2866,plain,
% 0.78/1.05 (p201(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[626, 593, 117, 118, 1, 430, 572])).
% 0.78/1.05 tff(2867,plain,
% 0.78/1.05 (~p601(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2258, 2866])).
% 0.78/1.05 tff(2868,plain,
% 0.78/1.05 (p505(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[132, 608, 430, 1, 118])).
% 0.78/1.05 tff(2869,plain,
% 0.78/1.05 (~p605(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1871, 2868])).
% 0.78/1.05 tff(2870,plain,
% 0.78/1.05 ($false),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2142, 2869, 2867, 264])).
% 0.78/1.05 tff(2871,plain,((~p403(X!0)) | p401(X!0) | p504(X!0) | p501(X!0) | p502(X!0) | p202(X!0) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.78/1.05 tff(2872,plain,
% 0.78/1.05 (~p403(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2871, 1, 2865, 264, 2864, 2863, 2862])).
% 0.78/1.05 tff(2873,plain,
% 0.78/1.05 (![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[358, 2872, 264, 339, 2860])).
% 0.78/1.05 tff(2874,plain,
% 0.78/1.05 (p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[225, 2873])).
% 0.78/1.05 tff(2875,plain,
% 0.78/1.05 (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1370, 2874])).
% 0.78/1.05 tff(2876,plain,
% 0.78/1.05 (~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[203, 2875])).
% 0.78/1.05 tff(2877,plain,
% 0.78/1.05 (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[213, 2874])).
% 0.78/1.05 tff(2878,plain,
% 0.78/1.05 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[914, 2877])).
% 0.78/1.05 tff(2879,plain,
% 0.78/1.05 (~p505(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[401, 2874])).
% 0.78/1.05 tff(2880,plain,
% 0.78/1.05 (p503(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[132, 2879, 2865, 1, 2864])).
% 0.78/1.05 tff(2881,plain,
% 0.78/1.05 (~p605(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1855, 2874])).
% 0.78/1.05 tff(2882,plain,
% 0.78/1.05 (p601(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2070, 2881, 264, 2695])).
% 0.78/1.05 tff(2883,plain,
% 0.78/1.05 (~p201(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2258, 2882])).
% 0.78/1.05 tff(2884,plain,
% 0.78/1.05 ($false),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2570, 2883, 2880, 2857, 2863, 2878, 2876])).
% 0.78/1.05 tff(2885,plain,(p501(X!0) | p401(X!0) | p402(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.78/1.05 tff(2886,plain,
% 0.78/1.05 (p501(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2885, 264, 339])).
% 0.78/1.05 tff(2887,plain,
% 0.78/1.05 (~p601(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1953, 2886])).
% 0.78/1.05 tff(2888,plain,
% 0.78/1.05 (p605(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2142, 2887, 264])).
% 0.78/1.05 tff(2889,plain,
% 0.78/1.05 (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1855, 2888])).
% 0.78/1.05 tff(2890,plain,
% 0.78/1.05 (~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[225, 2889])).
% 0.78/1.05 tff(2891,plain,
% 0.78/1.05 (p403(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[358, 2890, 264, 339, 2860])).
% 0.78/1.05 tff(2892,plain,
% 0.78/1.05 (~p201(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1442, 2886])).
% 0.78/1.05 tff(2893,plain,
% 0.78/1.05 (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1863, 2888])).
% 0.78/1.05 tff(2894,plain,
% 0.78/1.05 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[914, 2893])).
% 0.78/1.05 tff(2895,plain,
% 0.78/1.05 (![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[168, 2894, 2863, 2892, 2862])).
% 0.78/1.05 tff(2896,plain,
% 0.78/1.05 ((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[76, 2895])).
% 0.78/1.05 tff(2897,plain,
% 0.78/1.05 ($false),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[604, 2896, 2891])).
% 0.78/1.05 tff(2898,plain,(p401(X!0) | p402(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.78/1.05 tff(2899,plain,
% 0.78/1.05 (p402(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2898, 2650])).
% 0.78/1.05 tff(2900,plain,
% 0.78/1.05 (~((~r1(X!0, tptp_fun_Y_5(X!0))) | p102(tptp_fun_Y_5(X!0)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1139, 2899])).
% 0.78/1.05 tff(2901,plain,
% 0.78/1.05 (~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1126, 2900])).
% 0.78/1.05 tff(2902,plain,
% 0.78/1.05 (![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2548, 2901])).
% 0.78/1.05 tff(2903,plain,
% 0.78/1.05 ((~r1(X!0, tptp_fun_Y_9(X!0))) | p104(tptp_fun_Y_9(X!0))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1102, 2902])).
% 0.78/1.05 tff(2904,plain,
% 0.78/1.05 (~((~r1(X!0, tptp_fun_Y_8(X!0))) | p204(tptp_fun_Y_8(X!0)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1314, 2903])).
% 0.78/1.05 tff(2905,plain,
% 0.78/1.05 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[162, 2904])).
% 0.78/1.05 tff(2906,plain,
% 0.78/1.05 (~p202(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[315, 2899])).
% 0.78/1.05 tff(2907,plain,
% 0.78/1.05 (p201(X!0) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[168, 2906, 2905])).
% 0.78/1.05 tff(2908,plain,
% 0.78/1.05 (![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2907, 77, 2])).
% 0.78/1.05 tff(2909,plain,
% 0.78/1.05 (~((~r1(X!0, tptp_fun_Y_10(X!0))) | p304(tptp_fun_Y_10(X!0)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1073, 2903])).
% 0.78/1.05 tff(2910,plain,
% 0.78/1.05 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[547, 2909])).
% 0.78/1.05 tff(2911,plain,
% 0.78/1.05 (~p302(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[634, 2899])).
% 0.78/1.05 tff(2912,plain,
% 0.78/1.05 (p301(X!0) | p303(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[488, 2911, 2910])).
% 0.78/1.05 tff(2913,plain,
% 0.78/1.05 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2912, 678, 3])).
% 0.78/1.05 tff(2914,plain,
% 0.78/1.05 (p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[258, 2913])).
% 0.78/1.05 tff(2915,plain,
% 0.78/1.05 (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[242, 2914])).
% 0.78/1.05 tff(2916,plain,
% 0.78/1.05 ($false),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[914, 2915, 2908])).
% 0.78/1.05 tff(2917,plain,((~p503(X!0)) | p201(X!0) | p301(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.78/1.05 tff(2918,plain,
% 0.78/1.05 (~p503(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2917, 3, 2])).
% 0.78/1.05 tff(2919,plain,
% 0.78/1.05 (~p504(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[951, 2903])).
% 0.78/1.05 tff(2920,plain,
% 0.78/1.05 (~p502(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[587, 2899])).
% 0.78/1.05 tff(2921,plain,
% 0.78/1.05 (p501(X!0) | p503(X!0) | p505(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[132, 2920, 2919])).
% 0.78/1.05 tff(2922,plain,
% 0.78/1.05 (p505(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2921, 2918, 1])).
% 0.78/1.05 tff(2923,plain,
% 0.78/1.05 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[453, 2922])).
% 0.78/1.05 tff(2924,plain,
% 0.78/1.05 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[258, 2923])).
% 0.78/1.05 tff(2925,plain,
% 0.78/1.05 (~(p405(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[401, 2922])).
% 0.78/1.05 tff(2926,plain,
% 0.78/1.05 (~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[225, 2925])).
% 0.78/1.05 tff(2927,plain,
% 0.78/1.05 (~p404(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[1027, 2903])).
% 0.78/1.05 tff(2928,plain,
% 0.78/1.05 (![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p201(X!0) | p501(X!0) | p301(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[659, 2650, 2919, 2906, 2927, 2905, 2910])).
% 0.78/1.05 tff(2929,plain,
% 0.78/1.05 ($false),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2928, 2926, 2924, 1, 2, 3])).
% 0.78/1.05 tff(2930,plain,(p301(X!0) | p501(X!0) | p201(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.78/1.05 tff(2931,plain,
% 0.78/1.05 (p301(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2930, 2, 1])).
% 0.78/1.05 tff(2932,plain,
% 0.78/1.05 (~p601(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2200, 2931])).
% 0.78/1.05 tff(2933,plain,
% 0.78/1.05 (p605(X!0) | p601(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2142, 2650])).
% 0.78/1.05 tff(2934,plain,
% 0.78/1.05 (p605(X!0)),
% 0.78/1.05 inference(unit_resolution,[status(thm)],[2933, 2932])).
% 0.78/1.05 tff(2935,plain,
% 0.78/1.06 (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))),
% 0.78/1.06 inference(unit_resolution,[status(thm)],[1863, 2934])).
% 0.78/1.06 tff(2936,plain,
% 0.78/1.06 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.78/1.06 inference(unit_resolution,[status(thm)],[914, 2935])).
% 0.78/1.06 tff(2937,plain,
% 0.78/1.06 (~p505(X!0)),
% 0.78/1.06 inference(unit_resolution,[status(thm)],[1871, 2934])).
% 0.78/1.06 tff(2938,plain,
% 0.78/1.06 (p503(X!0)),
% 0.78/1.06 inference(unit_resolution,[status(thm)],[2921, 2937, 1])).
% 0.78/1.06 tff(2939,plain,
% 0.78/1.06 (~((~r1(X!0, tptp_fun_Y_4(X!0))) | p105(tptp_fun_Y_4(X!0)))),
% 0.78/1.06 inference(unit_resolution,[status(thm)],[2156, 2934])).
% 0.78/1.06 tff(2940,plain,
% 0.78/1.06 (~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.78/1.06 inference(unit_resolution,[status(thm)],[203, 2939])).
% 0.78/1.06 tff(2941,plain,
% 0.78/1.06 ((~p503(X!0)) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p201(X!0) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.78/1.06 inference(unit_resolution,[status(thm)],[2570, 2906, 2901])).
% 0.78/1.06 tff(2942,plain,
% 0.78/1.06 ($false),
% 0.78/1.06 inference(unit_resolution,[status(thm)],[2941, 2940, 2938, 2, 2936])).
% 0.78/1.06 tff(2943,plain,(p201(X!0) | p501(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.78/1.06 tff(2944,plain,
% 0.78/1.06 (p201(X!0)),
% 0.78/1.06 inference(unit_resolution,[status(thm)],[2943, 1])).
% 0.78/1.06 tff(2945,plain,
% 0.78/1.06 (~p301(X!0)),
% 0.78/1.06 inference(unit_resolution,[status(thm)],[1453, 2944])).
% 0.78/1.06 tff(2946,plain,
% 0.78/1.06 (~p601(X!0)),
% 0.78/1.06 inference(unit_resolution,[status(thm)],[2258, 2944])).
% 0.78/1.06 tff(2947,plain,
% 0.78/1.06 (p605(X!0)),
% 0.78/1.06 inference(unit_resolution,[status(thm)],[2933, 2946])).
% 0.78/1.06 tff(2948,plain,
% 0.78/1.06 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 0.78/1.06 inference(unit_resolution,[status(thm)],[1834, 2947])).
% 0.78/1.06 tff(2949,plain,
% 0.78/1.06 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.78/1.06 inference(unit_resolution,[status(thm)],[258, 2948])).
% 0.78/1.06 tff(2950,plain,
% 0.78/1.06 (~p505(X!0)),
% 0.78/1.06 inference(unit_resolution,[status(thm)],[1871, 2947])).
% 0.78/1.06 tff(2951,plain,
% 0.78/1.06 (p503(X!0)),
% 0.78/1.06 inference(unit_resolution,[status(thm)],[2921, 2950, 1])).
% 0.78/1.06 tff(2952,plain,
% 0.78/1.06 (~p303(X!0)),
% 0.78/1.06 inference(unit_resolution,[status(thm)],[378, 2951])).
% 0.78/1.06 tff(2953,plain,
% 0.78/1.06 ($false),
% 0.78/1.06 inference(unit_resolution,[status(thm)],[2912, 2952, 2949, 2945])).
% 0.78/1.06 tff(2954,plain,(p501(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.78/1.06 tff(2955,plain,
% 0.78/1.06 (~p301(X!0)),
% 0.78/1.06 inference(unit_resolution,[status(thm)],[1015, 2954])).
% 0.78/1.06 tff(2956,plain,
% 0.78/1.06 (~p601(X!0)),
% 0.78/1.06 inference(unit_resolution,[status(thm)],[1953, 2954])).
% 0.78/1.06 tff(2957,plain,
% 0.78/1.06 (p605(X!0)),
% 0.78/1.06 inference(unit_resolution,[status(thm)],[2933, 2956])).
% 0.78/1.06 tff(2958,plain,
% 0.78/1.06 (~(p305(tptp_fun_Y_2(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))))),
% 0.78/1.06 inference(unit_resolution,[status(thm)],[1834, 2957])).
% 0.78/1.06 tff(2959,plain,
% 0.78/1.06 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.78/1.06 inference(unit_resolution,[status(thm)],[258, 2958])).
% 0.78/1.06 tff(2960,plain,
% 0.78/1.06 (p303(X!0)),
% 0.78/1.06 inference(unit_resolution,[status(thm)],[2912, 2959, 2955])).
% 0.78/1.06 tff(2961,plain,
% 0.78/1.06 (~p201(X!0)),
% 0.78/1.06 inference(unit_resolution,[status(thm)],[1442, 2954])).
% 0.78/1.06 tff(2962,plain,
% 0.78/1.06 (~(p205(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))))),
% 0.78/1.06 inference(unit_resolution,[status(thm)],[1863, 2957])).
% 0.78/1.06 tff(2963,plain,
% 0.78/1.06 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.78/1.06 inference(unit_resolution,[status(thm)],[914, 2962])).
% 0.78/1.06 tff(2964,plain,
% 0.78/1.06 (![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.78/1.06 inference(unit_resolution,[status(thm)],[2907, 2963, 2961])).
% 0.78/1.06 tff(2965,plain,
% 0.78/1.06 ((~r1(X!0, tptp_fun_Y_6(X!0))) | p203(tptp_fun_Y_6(X!0))),
% 0.78/1.06 inference(unit_resolution,[status(thm)],[76, 2964])).
% 0.78/1.06 tff(2966,plain,
% 0.78/1.06 ($false),
% 0.78/1.06 inference(unit_resolution,[status(thm)],[647, 2965, 2960])).
% 0.78/1.06 % SZS output end Proof
% 0.78/1.06 % E exiting
%------------------------------------------------------------------------------