%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : LCL666+1.005 : TPTP v9.3.1. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n001.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 03:00:31 PM UTC 2026
% Result : Theorem 0.39s 0.63s
% Output : Proof 0.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL666+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_E %s %d THM
% 0.10/0.35 % Computer : n001.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sat Sep 5 21:43:19 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.39/0.63 % SZS status Theorem
% 0.39/0.63 % SZS output start Proof
% 0.39/0.63 tff(p604_type, type, (
% 0.39/0.63 p604: $i > $o)).
% 0.39/0.63 tff(tptp_fun_X_0_type, type, (
% 0.39/0.63 tptp_fun_X_0: $i)).
% 0.39/0.63 tff(p605_type, type, (
% 0.39/0.63 p605: $i > $o)).
% 0.39/0.63 tff(r1_type, type, (
% 0.39/0.63 r1: ( $i * $i ) > $o)).
% 0.39/0.63 tff(tptp_fun_X_3_type, type, (
% 0.39/0.63 tptp_fun_X_3: $i > $i)).
% 0.39/0.63 tff(p205_type, type, (
% 0.39/0.63 p205: $i > $o)).
% 0.39/0.63 tff(tptp_fun_X_8_type, type, (
% 0.39/0.63 tptp_fun_X_8: $i > $i)).
% 0.39/0.63 tff(p203_type, type, (
% 0.39/0.63 p203: $i > $o)).
% 0.39/0.63 tff(p401_type, type, (
% 0.39/0.63 p401: $i > $o)).
% 0.39/0.63 tff(p301_type, type, (
% 0.39/0.63 p301: $i > $o)).
% 0.39/0.63 tff(p103_type, type, (
% 0.39/0.63 p103: $i > $o)).
% 0.39/0.63 tff(p105_type, type, (
% 0.39/0.63 p105: $i > $o)).
% 0.39/0.63 tff(tptp_fun_X_4_type, type, (
% 0.39/0.63 tptp_fun_X_4: $i > $i)).
% 0.39/0.63 tff(p204_type, type, (
% 0.39/0.63 p204: $i > $o)).
% 0.39/0.63 tff(tptp_fun_X_6_type, type, (
% 0.39/0.63 tptp_fun_X_6: $i > $i)).
% 0.39/0.63 tff(tptp_fun_X_5_type, type, (
% 0.39/0.63 tptp_fun_X_5: $i > $i)).
% 0.39/0.63 tff(p304_type, type, (
% 0.39/0.63 p304: $i > $o)).
% 0.39/0.63 tff(p305_type, type, (
% 0.39/0.63 p305: $i > $o)).
% 0.39/0.63 tff(tptp_fun_X_2_type, type, (
% 0.39/0.63 tptp_fun_X_2: $i > $i)).
% 0.39/0.63 tff(p603_type, type, (
% 0.39/0.63 p603: $i > $o)).
% 0.39/0.63 tff(p201_type, type, (
% 0.39/0.63 p201: $i > $o)).
% 0.39/0.63 tff(p601_type, type, (
% 0.39/0.63 p601: $i > $o)).
% 0.39/0.63 tff(tptp_fun_X_9_type, type, (
% 0.39/0.63 tptp_fun_X_9: $i > $i)).
% 0.39/0.63 tff(p504_type, type, (
% 0.39/0.63 p504: $i > $o)).
% 0.39/0.63 tff(p404_type, type, (
% 0.39/0.63 p404: $i > $o)).
% 0.39/0.63 tff(p503_type, type, (
% 0.39/0.63 p503: $i > $o)).
% 0.39/0.63 tff(p403_type, type, (
% 0.39/0.63 p403: $i > $o)).
% 0.39/0.63 tff(p303_type, type, (
% 0.39/0.63 p303: $i > $o)).
% 0.39/0.63 tff(p602_type, type, (
% 0.39/0.63 p602: $i > $o)).
% 0.39/0.63 tff(p502_type, type, (
% 0.39/0.63 p502: $i > $o)).
% 0.39/0.63 tff(p402_type, type, (
% 0.39/0.63 p402: $i > $o)).
% 0.39/0.63 tff(p302_type, type, (
% 0.39/0.63 p302: $i > $o)).
% 0.39/0.63 tff(p202_type, type, (
% 0.39/0.63 p202: $i > $o)).
% 0.39/0.63 tff(tptp_fun_X_10_type, type, (
% 0.39/0.63 tptp_fun_X_10: $i > $i)).
% 0.39/0.63 tff(p102_type, type, (
% 0.39/0.63 p102: $i > $o)).
% 0.39/0.63 tff(tptp_fun_X_7_type, type, (
% 0.39/0.63 tptp_fun_X_7: $i > $i)).
% 0.39/0.63 tff(p104_type, type, (
% 0.39/0.63 p104: $i > $o)).
% 0.39/0.63 tff(tptp_fun_X_1_type, type, (
% 0.39/0.63 tptp_fun_X_1: $i > $i)).
% 0.39/0.63 tff(p405_type, type, (
% 0.39/0.63 p405: $i > $o)).
% 0.39/0.63 tff(p505_type, type, (
% 0.39/0.63 p505: $i > $o)).
% 0.39/0.63 tff(p101_type, type, (
% 0.39/0.63 p101: $i > $o)).
% 0.39/0.63 tff(p501_type, type, (
% 0.39/0.63 p501: $i > $o)).
% 0.39/0.63 tff(1,assumption,(~p301(X!0)), introduced(assumption)).
% 0.39/0.63 tff(2,assumption,(~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))), introduced(assumption)).
% 0.39/0.63 tff(3,assumption,(~p604(X!0)), introduced(assumption)).
% 0.39/0.63 tff(4,assumption,(~p603(X!0)), introduced(assumption)).
% 0.39/0.63 tff(5,assumption,(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0)))), introduced(assumption)).
% 0.39/0.63 tff(6,assumption,(~r1(X!0, X!0)), introduced(assumption)).
% 0.39/0.63 tff(7,plain,
% 0.39/0.63 (^[X: $i] : refl(r1(X, X) <=> r1(X, X))),
% 0.39/0.63 inference(bind,[status(th)],[])).
% 0.39/0.63 tff(8,plain,
% 0.39/0.63 (![X: $i] : r1(X, X) <=> ![X: $i] : r1(X, X)),
% 0.39/0.63 inference(quant_intro,[status(thm)],[7])).
% 0.39/0.63 tff(9,plain,
% 0.39/0.63 (![X: $i] : r1(X, X) <=> ![X: $i] : r1(X, X)),
% 0.39/0.63 inference(rewrite,[status(thm)],[])).
% 0.39/0.63 tff(10,axiom,(![X: $i] : r1(X, X)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','reflexivity')).
% 0.39/0.63 tff(11,plain,
% 0.39/0.63 (![X: $i] : r1(X, X)),
% 0.39/0.63 inference(modus_ponens,[status(thm)],[10, 9])).
% 0.39/0.63 tff(12,plain,(
% 0.39/0.63 ![X: $i] : r1(X, X)),
% 0.39/0.63 inference(skolemize,[status(sab)],[11])).
% 0.39/0.63 tff(13,plain,
% 0.39/0.63 (![X: $i] : r1(X, X)),
% 0.39/0.63 inference(modus_ponens,[status(thm)],[12, 8])).
% 0.39/0.63 tff(14,plain,
% 0.39/0.63 ((~![X: $i] : r1(X, X)) | r1(X!0, X!0)),
% 0.39/0.63 inference(quant_inst,[status(thm)],[])).
% 0.39/0.63 tff(15,plain,
% 0.39/0.63 ($false),
% 0.39/0.63 inference(unit_resolution,[status(thm)],[14, 13, 6])).
% 0.39/0.63 tff(16,plain,(r1(X!0, X!0)), inference(lemma,lemma(discharge,[]))).
% 0.39/0.63 tff(17,plain,
% 0.39/0.63 (^[Y: $i] : refl(((~r1(X!0, Y)) | (~((~((~p101(Y)) | (~p201(Y)))) | (~((~p101(Y)) | (~p301(Y)))) | (~((~p101(Y)) | (~p401(Y)))) | (~((~p101(Y)) | (~p501(Y)))) | (~((~p101(Y)) | (~p601(Y)))) | (~((~p201(Y)) | (~p301(Y)))) | (~((~p201(Y)) | (~p401(Y)))) | (~((~p201(Y)) | (~p501(Y)))) | (~((~p201(Y)) | (~p601(Y)))) | (~((~p301(Y)) | (~p401(Y)))) | (~((~p301(Y)) | (~p501(Y)))) | (~((~p301(Y)) | (~p601(Y)))) | (~((~p401(Y)) | (~p501(Y)))) | (~((~p401(Y)) | (~p601(Y)))) | (~((~p501(Y)) | (~p601(Y)))) | (~((~p302(Y)) | (~p202(Y)))) | (~((~p402(Y)) | (~p202(Y)))) | (~((~p502(Y)) | (~p202(Y)))) | (~((~p602(Y)) | (~p202(Y)))) | (~((~p402(Y)) | (~p302(Y)))) | (~((~p502(Y)) | (~p302(Y)))) | (~((~p602(Y)) | (~p302(Y)))) | (~((~p502(Y)) | (~p402(Y)))) | (~((~p602(Y)) | (~p402(Y)))) | (~((~p602(Y)) | (~p502(Y)))) | (~((~p403(Y)) | (~p303(Y)))) | (~((~p503(Y)) | (~p303(Y)))) | (~((~p603(Y)) | (~p303(Y)))) | (~((~p503(Y)) | (~p403(Y)))) | (~((~p603(Y)) | (~p403(Y)))) | (~((~p603(Y)) | (~p503(Y)))) | (~((~p504(Y)) | (~p404(Y)))) | (~((~p604(Y)) | (~p404(Y)))) | (~((~p604(Y)) | (~p504(Y)))) | (~((~p605(Y)) | (~p505(Y)))) | (~((~p605(Y)) | (~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))) | (~((~p505(Y)) | (~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))) | (~((~p505(Y)) | (~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))))) | (~((~p605(Y)) | (~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))))) | (~((~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | (~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))))) | (~((~p605(Y)) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))))) | (~((~p505(Y)) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))))) | (~((~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))))) | (~((~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))))) | (~((~p605(Y)) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~p505(Y)) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~p604(Y)) | (~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~p504(Y)) | (~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~p404(Y)) | (~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~p604(Y)) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~((~p504(Y)) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~((~p404(Y)) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~((~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y))))) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~((~p604(Y)) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))))))) | (~((~p504(Y)) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))))))) | (~((~p404(Y)) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))))))) | (~((~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y))))) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))))))) | (~((~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y))))) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))))))) | (~((~p603(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y))))))) | (~((~p503(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y))))))) | (~((~p403(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y))))))) | (~((~p303(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y))))))) | (~((~p603(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y))))))) | (~((~p503(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y))))))) | (~((~p403(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y))))))) | (~((~p303(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y))))))) | (~((~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y))))) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y))))))) | (~((~p602(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y))))))) | (~((~p502(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y))))))) | (~((~p402(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y))))))) | (~((~p302(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y))))))) | (~((~p202(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y)))))))))) <=> ((~r1(X!0, Y)) | (~((~((~p101(Y)) | (~p201(Y)))) | (~((~p101(Y)) | (~p301(Y)))) | (~((~p101(Y)) | (~p401(Y)))) | (~((~p101(Y)) | (~p501(Y)))) | (~((~p101(Y)) | (~p601(Y)))) | (~((~p201(Y)) | (~p301(Y)))) | (~((~p201(Y)) | (~p401(Y)))) | (~((~p201(Y)) | (~p501(Y)))) | (~((~p201(Y)) | (~p601(Y)))) | (~((~p301(Y)) | (~p401(Y)))) | (~((~p301(Y)) | (~p501(Y)))) | (~((~p301(Y)) | (~p601(Y)))) | (~((~p401(Y)) | (~p501(Y)))) | (~((~p401(Y)) | (~p601(Y)))) | (~((~p501(Y)) | (~p601(Y)))) | (~((~p302(Y)) | (~p202(Y)))) | (~((~p402(Y)) | (~p202(Y)))) | (~((~p502(Y)) | (~p202(Y)))) | (~((~p602(Y)) | (~p202(Y)))) | (~((~p402(Y)) | (~p302(Y)))) | (~((~p502(Y)) | (~p302(Y)))) | (~((~p602(Y)) | (~p302(Y)))) | (~((~p502(Y)) | (~p402(Y)))) | (~((~p602(Y)) | (~p402(Y)))) | (~((~p602(Y)) | (~p502(Y)))) | (~((~p403(Y)) | (~p303(Y)))) | (~((~p503(Y)) | (~p303(Y)))) | (~((~p603(Y)) | (~p303(Y)))) | (~((~p503(Y)) | (~p403(Y)))) | (~((~p603(Y)) | (~p403(Y)))) | (~((~p603(Y)) | (~p503(Y)))) | (~((~p504(Y)) | (~p404(Y)))) | (~((~p604(Y)) | (~p404(Y)))) | (~((~p604(Y)) | (~p504(Y)))) | (~((~p605(Y)) | (~p505(Y)))) | (~((~p605(Y)) | (~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))) | (~((~p505(Y)) | (~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))) | (~((~p505(Y)) | (~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))))) | (~((~p605(Y)) | (~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))))) | (~((~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | (~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))))) | (~((~p605(Y)) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))))) | (~((~p505(Y)) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))))) | (~((~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))))) | (~((~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))))) | (~((~p605(Y)) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~p505(Y)) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | 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| (~r1(Y, tptp_fun_X_6(Y))))) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))))))) | (~((~p603(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y))))))) | (~((~p503(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y))))))) | (~((~p403(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y))))))) | (~((~p303(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y))))))) | (~((~p603(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y))))))) | (~((~p503(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y))))))) | (~((~p403(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y))))))) | (~((~p303(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y))))))) | (~((~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y))))) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y))))))) | (~((~p602(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y))))))) | (~((~p502(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y))))))) | (~((~p402(Y)) | 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% 0.39/0.64 inference(bind,[status(th)],[])).
% 0.39/0.64 tff(18,plain,
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(~r1(Y, tptp_fun_X_2(Y))))))) | (~((~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | (~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))))) | (~((~p605(Y)) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))))) | (~((~p505(Y)) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))))) | (~((~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))))) | (~((~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))))) | (~((~p605(Y)) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~p505(Y)) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~p604(Y)) | (~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~p504(Y)) | (~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~p404(Y)) | (~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~p604(Y)) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~((~p504(Y)) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~((~p404(Y)) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~((~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y))))) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~((~p604(Y)) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))))))) | (~((~p504(Y)) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))))))) | (~((~p404(Y)) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))))))) | (~((~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y))))) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))))))) | (~((~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y))))) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))))))) | (~((~p603(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y))))))) | (~((~p503(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y))))))) | (~((~p403(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y))))))) | (~((~p303(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y))))))) | (~((~p603(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y))))))) | (~((~p503(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y))))))) | (~((~p403(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y))))))) | (~((~p303(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y))))))) | (~((~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y))))) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y))))))) | (~((~p602(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y))))))) | (~((~p502(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y))))))) | (~((~p402(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y))))))) | (~((~p302(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y))))))) | (~((~p202(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y))))))))))),
% 0.39/0.64 inference(quant_intro,[status(thm)],[17])).
% 0.39/0.64 tff(19,plain,
% 0.39/0.64 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | (((~p605(Y)) | (~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) & ((~p505(Y)) | (~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) & ((~p505(Y)) | (~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) & ((~p605(Y)) | (~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) & ((~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | (~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) & ((~p605(Y)) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) & ((~p505(Y)) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) & ((~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) & ((~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) & ((~p605(Y)) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y)))))) & (~(p201(Y) & p101(Y))) & (~(p301(Y) & p101(Y))) & (~(p401(Y) & p101(Y))) & (~(p501(Y) & p101(Y))) & (~(p601(Y) & p101(Y))) & (~(p301(Y) & p201(Y))) & (~(p401(Y) & p201(Y))) & (~(p501(Y) & p201(Y))) & (~(p601(Y) & p201(Y))) & (~(p401(Y) & p301(Y))) & (~(p501(Y) & p301(Y))) & (~(p601(Y) & p301(Y))) & (~(p501(Y) & p401(Y))) & (~(p601(Y) & p401(Y))) & (~(p601(Y) & p501(Y))) & (~(p302(Y) & p202(Y))) & (~(p402(Y) & p202(Y))) & (~(p502(Y) & p202(Y))) & (~(p602(Y) & p202(Y))) & (~(p402(Y) & p302(Y))) & (~(p502(Y) & p302(Y))) & (~(p602(Y) & p302(Y))) & (~(p502(Y) & p402(Y))) & (~(p602(Y) & p402(Y))) & (~(p602(Y) & p502(Y))) & (~(p403(Y) & p303(Y))) & (~(p503(Y) & p303(Y))) & (~(p603(Y) & p303(Y))) & (~(p503(Y) & p403(Y))) & (~(p603(Y) & p403(Y))) & (~(p603(Y) & p503(Y))) & (~(p504(Y) & p404(Y))) & (~(p604(Y) & p404(Y))) & (~(p604(Y) & p504(Y))) & (~(p605(Y) & p505(Y))) & ((~p505(Y)) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y)))))) & ((~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y)))))) & ((~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y)))))) & ((~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y)))))) & ((~p604(Y)) | (~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y)))))) & ((~p504(Y)) | (~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y)))))) & ((~p404(Y)) | (~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y)))))) & ((~p604(Y)) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y)))))) & ((~p504(Y)) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y)))))) & ((~p404(Y)) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y)))))) & ((~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y))))) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y)))))) & ((~p604(Y)) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y)))))) & ((~p504(Y)) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y)))))) & ((~p404(Y)) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y)))))) & ((~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y))))) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y)))))) & ((~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y))))) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y)))))) & ((~p603(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y)))))) & ((~p503(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y)))))) & ((~p403(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y)))))) & ((~p303(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y)))))) & ((~p603(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y)))))) & ((~p503(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y)))))) & ((~p403(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y)))))) & ((~p303(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y)))))) & ((~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y))))) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y)))))) & ((~p602(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y)))))) & ((~p502(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y)))))) & ((~p402(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y)))))) & ((~p302(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y)))))) & ((~p202(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y)))))))) <=> ((~r1(X!0, Y)) | (~((~((~p101(Y)) | (~p201(Y)))) | (~((~p101(Y)) | (~p301(Y)))) | (~((~p101(Y)) | (~p401(Y)))) | (~((~p101(Y)) | (~p501(Y)))) | (~((~p101(Y)) | (~p601(Y)))) | (~((~p201(Y)) | (~p301(Y)))) | (~((~p201(Y)) | (~p401(Y)))) | (~((~p201(Y)) | (~p501(Y)))) | (~((~p201(Y)) | (~p601(Y)))) | (~((~p301(Y)) | (~p401(Y)))) | (~((~p301(Y)) | (~p501(Y)))) | (~((~p301(Y)) | (~p601(Y)))) | (~((~p401(Y)) | (~p501(Y)))) | (~((~p401(Y)) | (~p601(Y)))) | (~((~p501(Y)) | (~p601(Y)))) | (~((~p302(Y)) | (~p202(Y)))) | (~((~p402(Y)) | (~p202(Y)))) | (~((~p502(Y)) | (~p202(Y)))) | (~((~p602(Y)) | (~p202(Y)))) | (~((~p402(Y)) | (~p302(Y)))) | (~((~p502(Y)) | (~p302(Y)))) | (~((~p602(Y)) | (~p302(Y)))) | (~((~p502(Y)) | (~p402(Y)))) | (~((~p602(Y)) | (~p402(Y)))) | (~((~p602(Y)) | (~p502(Y)))) | (~((~p403(Y)) | (~p303(Y)))) | (~((~p503(Y)) | (~p303(Y)))) | (~((~p603(Y)) | (~p303(Y)))) | (~((~p503(Y)) | (~p403(Y)))) | (~((~p603(Y)) | (~p403(Y)))) | (~((~p603(Y)) | (~p503(Y)))) | (~((~p504(Y)) | (~p404(Y)))) | (~((~p604(Y)) | (~p404(Y)))) | (~((~p604(Y)) | (~p504(Y)))) | (~((~p605(Y)) | (~p505(Y)))) | (~((~p605(Y)) | (~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))) | (~((~p505(Y)) | (~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))) | (~((~p505(Y)) | (~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))))) | (~((~p605(Y)) | (~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))))) | (~((~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | (~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))))) | (~((~p605(Y)) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))))) | (~((~p505(Y)) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))))) | (~((~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))))) | (~((~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))))) | (~((~p605(Y)) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~p505(Y)) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~p604(Y)) | (~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~p504(Y)) | (~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~p404(Y)) | (~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~p604(Y)) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~((~p504(Y)) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~((~p404(Y)) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~((~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y))))) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~((~p604(Y)) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))))))) | (~((~p504(Y)) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))))))) | (~((~p404(Y)) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))))))) | (~((~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y))))) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))))))) | (~((~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y))))) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))))))) | (~((~p603(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y))))))) | (~((~p503(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y))))))) | (~((~p403(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y))))))) | (~((~p303(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y))))))) | (~((~p603(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y))))))) | (~((~p503(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y))))))) | (~((~p403(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y))))))) | (~((~p303(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y))))))) | (~((~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y))))) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y))))))) | (~((~p602(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y))))))) | (~((~p502(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y))))))) | (~((~p402(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y))))))) | (~((~p302(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y))))))) | (~((~p202(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y)))))))))))),
% 0.39/0.64 inference(bind,[status(th)],[])).
% 0.39/0.64 tff(20,plain,
% 0.39/0.64 (![Y: $i] : ((~r1(X!0, Y)) | (((~p605(Y)) | (~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) & ((~p505(Y)) | (~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) & ((~p505(Y)) | (~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) & ((~p605(Y)) | (~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) & ((~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | (~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) & ((~p605(Y)) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) & ((~p505(Y)) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) & ((~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) & ((~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) & ((~p605(Y)) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y)))))) & (~(p201(Y) & p101(Y))) & (~(p301(Y) & p101(Y))) & (~(p401(Y) & p101(Y))) & (~(p501(Y) & p101(Y))) & (~(p601(Y) & p101(Y))) & (~(p301(Y) & p201(Y))) & (~(p401(Y) & p201(Y))) & (~(p501(Y) & p201(Y))) & (~(p601(Y) & p201(Y))) & (~(p401(Y) & p301(Y))) & (~(p501(Y) & p301(Y))) & (~(p601(Y) & p301(Y))) & (~(p501(Y) & p401(Y))) & (~(p601(Y) & p401(Y))) & (~(p601(Y) & p501(Y))) & (~(p302(Y) & p202(Y))) & (~(p402(Y) & p202(Y))) & (~(p502(Y) & p202(Y))) & (~(p602(Y) & p202(Y))) & (~(p402(Y) & p302(Y))) & (~(p502(Y) & p302(Y))) & (~(p602(Y) & p302(Y))) & (~(p502(Y) & p402(Y))) & (~(p602(Y) & p402(Y))) & (~(p602(Y) & p502(Y))) & (~(p403(Y) & p303(Y))) & (~(p503(Y) & p303(Y))) & (~(p603(Y) & p303(Y))) & (~(p503(Y) & p403(Y))) & (~(p603(Y) & p403(Y))) & (~(p603(Y) & p503(Y))) & (~(p504(Y) & p404(Y))) & (~(p604(Y) & p404(Y))) & (~(p604(Y) & p504(Y))) & (~(p605(Y) & p505(Y))) & ((~p505(Y)) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y)))))) & ((~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y)))))) & ((~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y)))))) & ((~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y)))))) & ((~p604(Y)) | (~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y)))))) & ((~p504(Y)) | (~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y)))))) & ((~p404(Y)) | (~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y)))))) & ((~p604(Y)) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y)))))) & ((~p504(Y)) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y)))))) & ((~p404(Y)) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y)))))) & ((~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y))))) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y)))))) & ((~p604(Y)) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y)))))) & ((~p504(Y)) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y)))))) & ((~p404(Y)) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y)))))) & ((~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y))))) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y)))))) & ((~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y))))) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y)))))) & ((~p603(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y)))))) & ((~p503(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y)))))) & ((~p403(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y)))))) & ((~p303(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y)))))) & ((~p603(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y)))))) & ((~p503(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y)))))) & ((~p403(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y)))))) & ((~p303(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y)))))) & ((~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y))))) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y)))))) & ((~p602(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y)))))) & ((~p502(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y)))))) & ((~p402(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y)))))) & ((~p302(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y)))))) & ((~p202(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y)))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | (~((~((~p101(Y)) | (~p201(Y)))) | (~((~p101(Y)) | (~p301(Y)))) | (~((~p101(Y)) | (~p401(Y)))) | (~((~p101(Y)) | (~p501(Y)))) | (~((~p101(Y)) | (~p601(Y)))) | (~((~p201(Y)) | (~p301(Y)))) | (~((~p201(Y)) | (~p401(Y)))) | (~((~p201(Y)) | (~p501(Y)))) | (~((~p201(Y)) | (~p601(Y)))) | (~((~p301(Y)) | (~p401(Y)))) | (~((~p301(Y)) | (~p501(Y)))) | (~((~p301(Y)) | (~p601(Y)))) | (~((~p401(Y)) | (~p501(Y)))) | (~((~p401(Y)) | (~p601(Y)))) | (~((~p501(Y)) | (~p601(Y)))) | (~((~p302(Y)) | (~p202(Y)))) | (~((~p402(Y)) | (~p202(Y)))) | (~((~p502(Y)) | (~p202(Y)))) | (~((~p602(Y)) | (~p202(Y)))) | (~((~p402(Y)) | (~p302(Y)))) | (~((~p502(Y)) | (~p302(Y)))) | (~((~p602(Y)) | (~p302(Y)))) | (~((~p502(Y)) | (~p402(Y)))) | (~((~p602(Y)) | (~p402(Y)))) | (~((~p602(Y)) | (~p502(Y)))) | (~((~p403(Y)) | (~p303(Y)))) | (~((~p503(Y)) | (~p303(Y)))) | (~((~p603(Y)) | (~p303(Y)))) | (~((~p503(Y)) | (~p403(Y)))) | (~((~p603(Y)) | (~p403(Y)))) | (~((~p603(Y)) | (~p503(Y)))) | (~((~p504(Y)) | (~p404(Y)))) | (~((~p604(Y)) | (~p404(Y)))) | (~((~p604(Y)) | (~p504(Y)))) | (~((~p605(Y)) | (~p505(Y)))) | (~((~p605(Y)) | (~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))) | (~((~p505(Y)) | (~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))) | (~((~p505(Y)) | (~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))))) | (~((~p605(Y)) | (~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))))) | (~((~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | (~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))))) | (~((~p605(Y)) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))))) | (~((~p505(Y)) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))))) | (~((~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))))) | (~((~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))))) | (~((~p605(Y)) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~p505(Y)) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~p604(Y)) | (~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~p504(Y)) | (~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~p404(Y)) | (~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~p604(Y)) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~((~p504(Y)) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~((~p404(Y)) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~((~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y))))) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~((~p604(Y)) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))))))) | (~((~p504(Y)) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))))))) | (~((~p404(Y)) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))))))) | (~((~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y))))) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))))))) | (~((~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y))))) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))))))) | (~((~p603(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y))))))) | (~((~p503(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y))))))) | (~((~p403(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y))))))) | (~((~p303(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y))))))) | (~((~p603(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y))))))) | (~((~p503(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y))))))) | (~((~p403(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y))))))) | (~((~p303(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y))))))) | (~((~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y))))) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y))))))) | (~((~p602(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y))))))) | (~((~p502(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y))))))) | (~((~p402(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y))))))) | (~((~p302(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y))))))) | (~((~p202(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y))))))))))),
% 0.39/0.64 inference(quant_intro,[status(thm)],[19])).
% 0.39/0.64 tff(21,plain,
% 0.39/0.64 ((((p601(X!0) | p602(X!0) | p603(X!0) | p604(X!0) | p605(X!0)) & (p501(X!0) | p502(X!0) | p503(X!0) | p504(X!0) | p505(X!0)) & (p404(X!0) | p403(X!0) | p402(X!0) | p401(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y)))) & (p302(X!0) | p301(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p303(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y)))) & (![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | p202(X!0) | p201(X!0) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y)))) & (p101(X!0) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y))))) & ![Y: $i] : ((~r1(X!0, Y)) | (((~p605(Y)) | (~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) & ((~p505(Y)) | (~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) & ((~p505(Y)) | (~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) & ((~p605(Y)) | (~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) & ((~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | (~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) & ((~p605(Y)) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) & ((~p505(Y)) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) & ((~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) & ((~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) & ((~p605(Y)) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y)))))) & (~(p201(Y) & p101(Y))) & (~(p301(Y) & p101(Y))) & (~(p401(Y) & p101(Y))) & (~(p501(Y) & p101(Y))) & (~(p601(Y) & p101(Y))) & (~(p301(Y) & p201(Y))) & (~(p401(Y) & p201(Y))) & (~(p501(Y) & p201(Y))) & (~(p601(Y) & p201(Y))) & (~(p401(Y) & p301(Y))) & (~(p501(Y) & p301(Y))) & (~(p601(Y) & p301(Y))) & (~(p501(Y) & p401(Y))) & (~(p601(Y) & p401(Y))) & (~(p601(Y) & p501(Y))) & (~(p302(Y) & p202(Y))) & (~(p402(Y) & p202(Y))) & (~(p502(Y) & p202(Y))) & (~(p602(Y) & p202(Y))) & (~(p402(Y) & p302(Y))) & (~(p502(Y) & p302(Y))) & (~(p602(Y) & p302(Y))) & (~(p502(Y) & p402(Y))) & (~(p602(Y) & p402(Y))) & (~(p602(Y) & p502(Y))) & (~(p403(Y) & p303(Y))) & (~(p503(Y) & p303(Y))) & (~(p603(Y) & p303(Y))) & (~(p503(Y) & p403(Y))) & (~(p603(Y) & p403(Y))) & (~(p603(Y) & p503(Y))) & (~(p504(Y) & p404(Y))) & (~(p604(Y) & p404(Y))) & (~(p604(Y) & p504(Y))) & (~(p605(Y) & p505(Y))) & ((~p505(Y)) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y)))))) & ((~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y)))))) & ((~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y)))))) & ((~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y)))))) & ((~p604(Y)) | (~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y)))))) & ((~p504(Y)) | (~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y)))))) & ((~p404(Y)) | (~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y)))))) & ((~p604(Y)) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y)))))) & ((~p504(Y)) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y)))))) & ((~p404(Y)) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y)))))) & ((~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y))))) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y)))))) & ((~p604(Y)) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y)))))) & ((~p504(Y)) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y)))))) & ((~p404(Y)) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y)))))) & ((~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y))))) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y)))))) & ((~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y))))) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y)))))) & ((~p603(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y)))))) & ((~p503(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y)))))) & ((~p403(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y)))))) & ((~p303(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y)))))) & ((~p603(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y)))))) & ((~p503(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y)))))) & ((~p403(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y)))))) & ((~p303(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y)))))) & ((~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y))))) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y)))))) & ((~p602(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y)))))) & ((~p502(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y)))))) & ((~p402(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y)))))) & ((~p302(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y)))))) & ((~p202(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y))))))))) <=> ((p601(X!0) | p602(X!0) | p603(X!0) | p604(X!0) | p605(X!0)) & (p501(X!0) | p502(X!0) | p503(X!0) | p504(X!0) | p505(X!0)) & (p404(X!0) | p403(X!0) | p402(X!0) | p401(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y)))) & (p302(X!0) | p301(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p303(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y)))) & (![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | p202(X!0) | p201(X!0) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y)))) & (p101(X!0) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y)))) & ![Y: $i] : ((~r1(X!0, Y)) | (((~p605(Y)) | (~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) & ((~p505(Y)) | (~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) & ((~p505(Y)) | (~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) & ((~p605(Y)) | (~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) & ((~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | (~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) & ((~p605(Y)) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) & ((~p505(Y)) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) & ((~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) & ((~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) & ((~p605(Y)) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y)))))) & (~(p201(Y) & p101(Y))) & (~(p301(Y) & p101(Y))) & (~(p401(Y) & p101(Y))) & (~(p501(Y) & p101(Y))) & (~(p601(Y) & p101(Y))) & (~(p301(Y) & p201(Y))) & (~(p401(Y) & p201(Y))) & (~(p501(Y) & p201(Y))) & (~(p601(Y) & p201(Y))) & (~(p401(Y) & p301(Y))) & (~(p501(Y) & p301(Y))) & (~(p601(Y) & p301(Y))) & (~(p501(Y) & p401(Y))) & (~(p601(Y) & p401(Y))) & (~(p601(Y) & p501(Y))) & (~(p302(Y) & p202(Y))) & (~(p402(Y) & p202(Y))) & (~(p502(Y) & p202(Y))) & (~(p602(Y) & p202(Y))) & (~(p402(Y) & p302(Y))) & (~(p502(Y) & p302(Y))) & (~(p602(Y) & p302(Y))) & (~(p502(Y) & p402(Y))) & (~(p602(Y) & p402(Y))) & (~(p602(Y) & p502(Y))) & (~(p403(Y) & p303(Y))) & (~(p503(Y) & p303(Y))) & (~(p603(Y) & p303(Y))) & (~(p503(Y) & p403(Y))) & (~(p603(Y) & p403(Y))) & (~(p603(Y) & p503(Y))) & (~(p504(Y) & p404(Y))) & (~(p604(Y) & p404(Y))) & (~(p604(Y) & p504(Y))) & (~(p605(Y) & p505(Y))) & ((~p505(Y)) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y)))))) & ((~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y)))))) & ((~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y)))))) & ((~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y)))))) & ((~p604(Y)) | (~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y)))))) & ((~p504(Y)) | (~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y)))))) & ((~p404(Y)) | (~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y)))))) & ((~p604(Y)) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y)))))) & ((~p504(Y)) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y)))))) & ((~p404(Y)) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y)))))) & ((~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y))))) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y)))))) & ((~p604(Y)) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y)))))) & ((~p504(Y)) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y)))))) & ((~p404(Y)) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y)))))) & ((~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y))))) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y)))))) & ((~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y))))) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y)))))) & ((~p603(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y)))))) & ((~p503(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y)))))) & ((~p403(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y)))))) & ((~p303(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y)))))) & ((~p603(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y)))))) & ((~p503(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y)))))) & ((~p403(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y)))))) & ((~p303(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y)))))) & ((~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y))))) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y)))))) & ((~p602(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y)))))) & ((~p502(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y)))))) & ((~p402(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y)))))) & ((~p302(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y)))))) & ((~p202(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y)))))))))),
% 0.39/0.65 inference(rewrite,[status(thm)],[])).
% 0.39/0.65 tff(22,plain,
% 0.39/0.65 (((p601(X!0) | p602(X!0) | p603(X!0) | p604(X!0) | p605(X!0)) & (p501(X!0) | p502(X!0) | p503(X!0) | p504(X!0) | p505(X!0)) & (![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p401(X!0) | p402(X!0) | p403(X!0) | p404(X!0)) & (![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p301(X!0) | p302(X!0) | p303(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y)))) & (![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)) & (p101(X!0) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))))) <=> ((p601(X!0) | p602(X!0) | p603(X!0) | p604(X!0) | p605(X!0)) & (p501(X!0) | p502(X!0) | p503(X!0) | p504(X!0) | p505(X!0)) & (p404(X!0) | p403(X!0) | p402(X!0) | p401(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y)))) & (p302(X!0) | p301(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p303(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y)))) & (![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | p202(X!0) | p201(X!0) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y)))) & (p101(X!0) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y)))))),
% 0.39/0.65 inference(rewrite,[status(thm)],[])).
% 0.39/0.65 tff(23,plain,
% 0.39/0.65 ((((p601(X!0) | p602(X!0) | p603(X!0) | p604(X!0) | p605(X!0)) & (p501(X!0) | p502(X!0) | p503(X!0) | p504(X!0) | p505(X!0)) & (![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p401(X!0) | p402(X!0) | p403(X!0) | p404(X!0)) & (![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p301(X!0) | p302(X!0) | p303(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y)))) & (![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)) & (p101(X!0) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))))) & ![Y: $i] : ((~r1(X!0, Y)) | (((~p605(Y)) | (~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) & ((~p505(Y)) | (~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) & ((~p505(Y)) | (~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) & ((~p605(Y)) | (~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) & ((~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | (~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) & ((~p605(Y)) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) & ((~p505(Y)) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) & ((~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) & ((~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) & ((~p605(Y)) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y)))))) & (~(p201(Y) & p101(Y))) & (~(p301(Y) & p101(Y))) & (~(p401(Y) & p101(Y))) & (~(p501(Y) & p101(Y))) & (~(p601(Y) & p101(Y))) & (~(p301(Y) & p201(Y))) & (~(p401(Y) & p201(Y))) & (~(p501(Y) & p201(Y))) & (~(p601(Y) & p201(Y))) & (~(p401(Y) & p301(Y))) & (~(p501(Y) & p301(Y))) & (~(p601(Y) & p301(Y))) & (~(p501(Y) & p401(Y))) & (~(p601(Y) & p401(Y))) & (~(p601(Y) & p501(Y))) & (~(p302(Y) & p202(Y))) & (~(p402(Y) & p202(Y))) & (~(p502(Y) & p202(Y))) & (~(p602(Y) & p202(Y))) & (~(p402(Y) & p302(Y))) & (~(p502(Y) & p302(Y))) & (~(p602(Y) & p302(Y))) & (~(p502(Y) & p402(Y))) & (~(p602(Y) & p402(Y))) & (~(p602(Y) & p502(Y))) & (~(p403(Y) & p303(Y))) & (~(p503(Y) & p303(Y))) & (~(p603(Y) & p303(Y))) & (~(p503(Y) & p403(Y))) & (~(p603(Y) & p403(Y))) & (~(p603(Y) & p503(Y))) & (~(p504(Y) & p404(Y))) & (~(p604(Y) & p404(Y))) & (~(p604(Y) & p504(Y))) & (~(p605(Y) & p505(Y))) & ((~p505(Y)) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y)))))) & ((~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y)))))) & ((~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y)))))) & ((~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y)))))) & ((~p604(Y)) | (~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y)))))) & ((~p504(Y)) | (~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y)))))) & ((~p404(Y)) | (~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y)))))) & ((~p604(Y)) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y)))))) & ((~p504(Y)) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y)))))) & ((~p404(Y)) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y)))))) & ((~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y))))) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y)))))) & ((~p604(Y)) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y)))))) & ((~p504(Y)) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y)))))) & ((~p404(Y)) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y)))))) & ((~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y))))) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y)))))) & ((~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y))))) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y)))))) & ((~p603(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y)))))) & ((~p503(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y)))))) & ((~p403(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y)))))) & ((~p303(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y)))))) & ((~p603(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y)))))) & ((~p503(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y)))))) & ((~p403(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y)))))) & ((~p303(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y)))))) & ((~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y))))) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y)))))) & ((~p602(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y)))))) & ((~p502(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y)))))) & ((~p402(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y)))))) & ((~p302(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y)))))) & ((~p202(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y))))))))) <=> (((p601(X!0) | p602(X!0) | p603(X!0) | p604(X!0) | p605(X!0)) & (p501(X!0) | p502(X!0) | p503(X!0) | p504(X!0) | p505(X!0)) & (p404(X!0) | p403(X!0) | p402(X!0) | p401(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y)))) & (p302(X!0) | p301(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p303(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y)))) & (![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | p202(X!0) | p201(X!0) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y)))) & (p101(X!0) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y))))) & ![Y: $i] : ((~r1(X!0, Y)) | (((~p605(Y)) | (~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) & ((~p505(Y)) | (~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) & ((~p505(Y)) | (~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) & ((~p605(Y)) | (~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) & ((~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | (~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) & ((~p605(Y)) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) & ((~p505(Y)) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) & ((~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) & ((~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) & ((~p605(Y)) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y)))))) & (~(p201(Y) & p101(Y))) & (~(p301(Y) & p101(Y))) & (~(p401(Y) & p101(Y))) & (~(p501(Y) & p101(Y))) & (~(p601(Y) & p101(Y))) & (~(p301(Y) & p201(Y))) & (~(p401(Y) & p201(Y))) & (~(p501(Y) & p201(Y))) & (~(p601(Y) & p201(Y))) & (~(p401(Y) & p301(Y))) & (~(p501(Y) & p301(Y))) & (~(p601(Y) & p301(Y))) & (~(p501(Y) & p401(Y))) & (~(p601(Y) & p401(Y))) & (~(p601(Y) & p501(Y))) & (~(p302(Y) & p202(Y))) & (~(p402(Y) & p202(Y))) & (~(p502(Y) & p202(Y))) & (~(p602(Y) & p202(Y))) & (~(p402(Y) & p302(Y))) & (~(p502(Y) & p302(Y))) & (~(p602(Y) & p302(Y))) & (~(p502(Y) & p402(Y))) & (~(p602(Y) & p402(Y))) & (~(p602(Y) & p502(Y))) & (~(p403(Y) & p303(Y))) & (~(p503(Y) & p303(Y))) & (~(p603(Y) & p303(Y))) & (~(p503(Y) & p403(Y))) & (~(p603(Y) & p403(Y))) & (~(p603(Y) & p503(Y))) & (~(p504(Y) & p404(Y))) & (~(p604(Y) & p404(Y))) & (~(p604(Y) & p504(Y))) & (~(p605(Y) & p505(Y))) & ((~p505(Y)) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y)))))) & ((~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y)))))) & ((~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y)))))) & ((~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y)))))) & ((~p604(Y)) | (~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y)))))) & ((~p504(Y)) | (~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y)))))) & ((~p404(Y)) | (~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y)))))) & ((~p604(Y)) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y)))))) & ((~p504(Y)) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y)))))) & ((~p404(Y)) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y)))))) & ((~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y))))) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y)))))) & ((~p604(Y)) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y)))))) & ((~p504(Y)) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y)))))) & ((~p404(Y)) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y)))))) & ((~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y))))) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y)))))) & ((~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y))))) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y)))))) & ((~p603(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y)))))) & ((~p503(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y)))))) & ((~p403(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y)))))) & ((~p303(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y)))))) & ((~p603(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y)))))) & ((~p503(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y)))))) & ((~p403(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y)))))) & ((~p303(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y)))))) & ((~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y))))) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y)))))) & ((~p602(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y)))))) & ((~p502(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y)))))) & ((~p402(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y)))))) & ((~p302(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y)))))) & ((~p202(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y)))))))))),
% 0.39/0.65 inference(monotonicity,[status(thm)],[22])).
% 0.39/0.65 tff(24,plain,
% 0.39/0.65 ((((p601(X!0) | p602(X!0) | p603(X!0) | p604(X!0) | p605(X!0)) & (p501(X!0) | p502(X!0) | p503(X!0) | p504(X!0) | p505(X!0)) & (![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p401(X!0) | p402(X!0) | p403(X!0) | p404(X!0)) & (![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p301(X!0) | p302(X!0) | p303(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y)))) & (![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)) & (p101(X!0) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))))) & ![Y: $i] : ((~r1(X!0, Y)) | (((~p605(Y)) | (~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) & ((~p505(Y)) | (~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) & ((~p505(Y)) | (~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) & ((~p605(Y)) | (~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) & ((~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | (~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) & ((~p605(Y)) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) & ((~p505(Y)) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) & ((~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) & ((~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) & ((~p605(Y)) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y)))))) & (~(p201(Y) & p101(Y))) & (~(p301(Y) & p101(Y))) & (~(p401(Y) & p101(Y))) & (~(p501(Y) & p101(Y))) & (~(p601(Y) & p101(Y))) & (~(p301(Y) & p201(Y))) & (~(p401(Y) & p201(Y))) & (~(p501(Y) & p201(Y))) & (~(p601(Y) & p201(Y))) & (~(p401(Y) & p301(Y))) & (~(p501(Y) & p301(Y))) & (~(p601(Y) & p301(Y))) & (~(p501(Y) & p401(Y))) & (~(p601(Y) & p401(Y))) & (~(p601(Y) & p501(Y))) & (~(p302(Y) & p202(Y))) & (~(p402(Y) & p202(Y))) & (~(p502(Y) & p202(Y))) & (~(p602(Y) & p202(Y))) & (~(p402(Y) & p302(Y))) & (~(p502(Y) & p302(Y))) & (~(p602(Y) & p302(Y))) & (~(p502(Y) & p402(Y))) & (~(p602(Y) & p402(Y))) & (~(p602(Y) & p502(Y))) & (~(p403(Y) & p303(Y))) & (~(p503(Y) & p303(Y))) & (~(p603(Y) & p303(Y))) & (~(p503(Y) & p403(Y))) & (~(p603(Y) & p403(Y))) & (~(p603(Y) & p503(Y))) & (~(p504(Y) & p404(Y))) & (~(p604(Y) & p404(Y))) & (~(p604(Y) & p504(Y))) & (~(p605(Y) & p505(Y))) & ((~p505(Y)) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y)))))) & ((~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y)))))) & ((~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y)))))) & ((~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y)))))) & ((~p604(Y)) | (~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y)))))) & ((~p504(Y)) | (~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y)))))) & ((~p404(Y)) | (~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y)))))) & ((~p604(Y)) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y)))))) & ((~p504(Y)) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y)))))) & ((~p404(Y)) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y)))))) & ((~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y))))) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y)))))) & ((~p604(Y)) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y)))))) & ((~p504(Y)) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y)))))) & ((~p404(Y)) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y)))))) & ((~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y))))) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y)))))) & ((~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y))))) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y)))))) & ((~p603(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y)))))) & ((~p503(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y)))))) & ((~p403(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y)))))) & ((~p303(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y)))))) & ((~p603(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y)))))) & ((~p503(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y)))))) & ((~p403(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y)))))) & ((~p303(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y)))))) & ((~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y))))) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y)))))) & ((~p602(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y)))))) & ((~p502(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y)))))) & ((~p402(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y)))))) & ((~p302(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y)))))) & ((~p202(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y))))))))) <=> ((p601(X!0) | p602(X!0) | p603(X!0) | p604(X!0) | p605(X!0)) & (p501(X!0) | p502(X!0) | p503(X!0) | p504(X!0) | p505(X!0)) & (p404(X!0) | p403(X!0) | p402(X!0) | p401(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y)))) & (p302(X!0) | p301(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p303(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y)))) & (![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | p202(X!0) | p201(X!0) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y)))) & (p101(X!0) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y)))) & ![Y: $i] : ((~r1(X!0, Y)) | (((~p605(Y)) | (~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) & ((~p505(Y)) | (~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) & ((~p505(Y)) | (~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) & ((~p605(Y)) | (~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) & ((~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | (~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) & ((~p605(Y)) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) & ((~p505(Y)) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) & ((~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) & ((~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) & ((~p605(Y)) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y)))))) & (~(p201(Y) & p101(Y))) & (~(p301(Y) & p101(Y))) & (~(p401(Y) & p101(Y))) & (~(p501(Y) & p101(Y))) & (~(p601(Y) & p101(Y))) & (~(p301(Y) & p201(Y))) & (~(p401(Y) & p201(Y))) & (~(p501(Y) & p201(Y))) & (~(p601(Y) & p201(Y))) & (~(p401(Y) & p301(Y))) & (~(p501(Y) & p301(Y))) & (~(p601(Y) & p301(Y))) & (~(p501(Y) & p401(Y))) & (~(p601(Y) & p401(Y))) & (~(p601(Y) & p501(Y))) & (~(p302(Y) & p202(Y))) & (~(p402(Y) & p202(Y))) & (~(p502(Y) & p202(Y))) & (~(p602(Y) & p202(Y))) & (~(p402(Y) & p302(Y))) & (~(p502(Y) & p302(Y))) & (~(p602(Y) & p302(Y))) & (~(p502(Y) & p402(Y))) & (~(p602(Y) & p402(Y))) & (~(p602(Y) & p502(Y))) & (~(p403(Y) & p303(Y))) & (~(p503(Y) & p303(Y))) & (~(p603(Y) & p303(Y))) & (~(p503(Y) & p403(Y))) & (~(p603(Y) & p403(Y))) & (~(p603(Y) & p503(Y))) & (~(p504(Y) & p404(Y))) & (~(p604(Y) & p404(Y))) & (~(p604(Y) & p504(Y))) & (~(p605(Y) & p505(Y))) & ((~p505(Y)) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y)))))) & ((~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y)))))) & ((~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y)))))) & ((~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y)))))) & ((~p604(Y)) | (~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y)))))) & ((~p504(Y)) | (~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y)))))) & ((~p404(Y)) | (~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y)))))) & ((~p604(Y)) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y)))))) & ((~p504(Y)) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y)))))) & ((~p404(Y)) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y)))))) & ((~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y))))) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y)))))) & ((~p604(Y)) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y)))))) & ((~p504(Y)) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y)))))) & ((~p404(Y)) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y)))))) & ((~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y))))) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y)))))) & ((~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y))))) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y)))))) & ((~p603(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y)))))) & ((~p503(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y)))))) & ((~p403(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y)))))) & ((~p303(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y)))))) & ((~p603(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y)))))) & ((~p503(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y)))))) & ((~p403(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y)))))) & ((~p303(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y)))))) & ((~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y))))) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y)))))) & ((~p602(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y)))))) & ((~p502(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y)))))) & ((~p402(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y)))))) & ((~p302(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y)))))) & ((~p202(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y)))))))))),
% 0.39/0.66 inference(transitivity,[status(thm)],[23, 21])).
% 0.39/0.66 tff(25,plain,
% 0.39/0.66 (?[X: $i] : (~((~((p601(X) | p602(X) | p603(X) | p604(X) | p605(X)) & (p501(X) | p502(X) | p503(X) | p504(X) | p505(X)) & (![Y: $i] : (p405(Y) | (~r1(X, Y))) | p401(X) | p402(X) | p403(X) | p404(X)) & (![Y: $i] : (p305(Y) | (~r1(X, Y))) | p301(X) | p302(X) | p303(X) | ![Y: $i] : (p304(Y) | (~r1(X, Y)))) & (![Y: $i] : (p205(Y) | (~r1(X, Y))) | ![Y: $i] : (p204(Y) | (~r1(X, Y))) | ![Y: $i] : (p203(Y) | (~r1(X, Y))) | p201(X) | p202(X)) & (p101(X) | ![Y: $i] : (p105(Y) | (~r1(X, Y))) | ![Y: $i] : (p104(Y) | (~r1(X, Y))) | ![Y: $i] : (p103(Y) | (~r1(X, Y))) | ![Y: $i] : (p102(Y) | (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((p605(Y) & ![X: $i] : (p405(X) | (~r1(Y, X)))) | (p505(Y) & ![X: $i] : (p405(X) | (~r1(Y, X)))) | (p505(Y) & ![X: $i] : (p305(X) | (~r1(Y, X)))) | (p605(Y) & ![X: $i] : (p305(X) | (~r1(Y, X)))) | (![X: $i] : (p405(X) | (~r1(Y, X))) & ![X: $i] : (p305(X) | (~r1(Y, X)))) | (p605(Y) & ![X: $i] : (p205(X) | (~r1(Y, X)))) | (p505(Y) & ![X: $i] : (p205(X) | (~r1(Y, X)))) | (![X: $i] : (p405(X) | (~r1(Y, X))) & ![X: $i] : (p205(X) | (~r1(Y, X)))) | (![X: $i] : (p305(X) | (~r1(Y, X))) & ![X: $i] : (p205(X) | (~r1(Y, X)))) | (p605(Y) & ![X: $i] : (p105(X) | (~r1(Y, X)))) | (p201(Y) & p101(Y)) | (p301(Y) & p101(Y)) | (p401(Y) & p101(Y)) | (p501(Y) & p101(Y)) | (p601(Y) & p101(Y)) | (p301(Y) & p201(Y)) | (p401(Y) & p201(Y)) | (p501(Y) & p201(Y)) | (p601(Y) & p201(Y)) | (p401(Y) & p301(Y)) | (p501(Y) & p301(Y)) | (p601(Y) & p301(Y)) | (p501(Y) & p401(Y)) | (p601(Y) & p401(Y)) | (p601(Y) & p501(Y)) | (p302(Y) & p202(Y)) | (p402(Y) & p202(Y)) | (p502(Y) & p202(Y)) | (p602(Y) & p202(Y)) | (p402(Y) & p302(Y)) | (p502(Y) & p302(Y)) | (p602(Y) & p302(Y)) | (p502(Y) & p402(Y)) | (p602(Y) & p402(Y)) | (p602(Y) & p502(Y)) | (p403(Y) & p303(Y)) | (p503(Y) & p303(Y)) | (p603(Y) & p303(Y)) | (p503(Y) & p403(Y)) | (p603(Y) & p403(Y)) | (p603(Y) & p503(Y)) | (p504(Y) & p404(Y)) | (p604(Y) & p404(Y)) | (p604(Y) & p504(Y)) | (p605(Y) & p505(Y)) | (p505(Y) & ![X: $i] : (p105(X) | (~r1(Y, X)))) | (![X: $i] : (p405(X) | (~r1(Y, X))) & ![X: $i] : (p105(X) | (~r1(Y, X)))) | (![X: $i] : (p305(X) | (~r1(Y, X))) & ![X: $i] : (p105(X) | (~r1(Y, X)))) | (![X: $i] : (p205(X) | (~r1(Y, X))) & ![X: $i] : (p105(X) | (~r1(Y, X)))) | (p604(Y) & ![X: $i] : (p304(X) | (~r1(Y, X)))) | (p504(Y) & ![X: $i] : (p304(X) | (~r1(Y, X)))) | (p404(Y) & ![X: $i] : (p304(X) | (~r1(Y, X)))) | (p604(Y) & ![X: $i] : (p204(X) | (~r1(Y, X)))) | (p504(Y) & ![X: $i] : (p204(X) | (~r1(Y, X)))) | (p404(Y) & ![X: $i] : (p204(X) | (~r1(Y, X)))) | (![X: $i] : (p304(X) | (~r1(Y, X))) & ![X: $i] : (p204(X) | (~r1(Y, X)))) | (p604(Y) & ![X: $i] : (p104(X) | (~r1(Y, X)))) | (p504(Y) & ![X: $i] : (p104(X) | (~r1(Y, X)))) | (p404(Y) & ![X: $i] : (p104(X) | (~r1(Y, X)))) | (![X: $i] : (p304(X) | (~r1(Y, X))) & ![X: $i] : (p104(X) | (~r1(Y, X)))) | (![X: $i] : (p204(X) | (~r1(Y, X))) & ![X: $i] : (p104(X) | (~r1(Y, X)))) | (p603(Y) & ![X: $i] : (p203(X) | (~r1(Y, X)))) | (p503(Y) & ![X: $i] : (p203(X) | (~r1(Y, X)))) | (p403(Y) & ![X: $i] : (p203(X) | (~r1(Y, X)))) | (p303(Y) & ![X: $i] : (p203(X) | (~r1(Y, X)))) | (p603(Y) & ![X: $i] : (p103(X) | (~r1(Y, X)))) | (p503(Y) & ![X: $i] : (p103(X) | (~r1(Y, X)))) | (p403(Y) & ![X: $i] : (p103(X) | (~r1(Y, X)))) | (p303(Y) & ![X: $i] : (p103(X) | (~r1(Y, X)))) | (![X: $i] : (p203(X) | (~r1(Y, X))) & ![X: $i] : (p103(X) | (~r1(Y, X)))) | (p602(Y) & ![X: $i] : (p102(X) | (~r1(Y, X)))) | (p502(Y) & ![X: $i] : (p102(X) | (~r1(Y, X)))) | (p402(Y) & ![X: $i] : (p102(X) | (~r1(Y, X)))) | (p302(Y) & ![X: $i] : (p102(X) | (~r1(Y, X)))) | (p202(Y) & ![X: $i] : (p102(X) | (~r1(Y, X)))))))))) <=> ?[X: $i] : (~((~((p601(X) | p602(X) | p603(X) | p604(X) | p605(X)) & (p501(X) | p502(X) | p503(X) | p504(X) | p505(X)) & (![Y: $i] : (p405(Y) | (~r1(X, Y))) | p401(X) | p402(X) | p403(X) | p404(X)) & (![Y: $i] : (p305(Y) | (~r1(X, Y))) | p301(X) | p302(X) | p303(X) | ![Y: $i] : (p304(Y) | (~r1(X, Y)))) & (![Y: $i] : (p205(Y) | (~r1(X, Y))) | ![Y: $i] : (p204(Y) | (~r1(X, Y))) | ![Y: $i] : (p203(Y) | (~r1(X, Y))) | p201(X) | p202(X)) & (p101(X) | ![Y: $i] : (p105(Y) | (~r1(X, Y))) | ![Y: $i] : (p104(Y) | (~r1(X, Y))) | ![Y: $i] : (p103(Y) | (~r1(X, Y))) | ![Y: $i] : (p102(Y) | (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((p605(Y) & ![X: $i] : (p405(X) | (~r1(Y, X)))) | (p505(Y) & ![X: $i] : (p405(X) | (~r1(Y, X)))) | (p505(Y) & ![X: $i] : (p305(X) | (~r1(Y, X)))) | (p605(Y) & ![X: $i] : (p305(X) | (~r1(Y, X)))) | (![X: $i] : (p405(X) | (~r1(Y, X))) & ![X: $i] : (p305(X) | (~r1(Y, X)))) | (p605(Y) & ![X: $i] : (p205(X) | (~r1(Y, X)))) | (p505(Y) & ![X: $i] : (p205(X) | (~r1(Y, X)))) | (![X: $i] : (p405(X) | (~r1(Y, X))) & ![X: $i] : (p205(X) | (~r1(Y, X)))) | (![X: $i] : (p305(X) | (~r1(Y, X))) & ![X: $i] : (p205(X) | (~r1(Y, X)))) | (p605(Y) & ![X: $i] : (p105(X) | (~r1(Y, X)))) | (p201(Y) & p101(Y)) | (p301(Y) & p101(Y)) | (p401(Y) & p101(Y)) | (p501(Y) & p101(Y)) | (p601(Y) & p101(Y)) | (p301(Y) & p201(Y)) | (p401(Y) & p201(Y)) | (p501(Y) & p201(Y)) | (p601(Y) & p201(Y)) | (p401(Y) & p301(Y)) | (p501(Y) & p301(Y)) | (p601(Y) & p301(Y)) | (p501(Y) & p401(Y)) | (p601(Y) & p401(Y)) | (p601(Y) & p501(Y)) | (p302(Y) & p202(Y)) | (p402(Y) & p202(Y)) | (p502(Y) & p202(Y)) | (p602(Y) & p202(Y)) | (p402(Y) & p302(Y)) | (p502(Y) & p302(Y)) | (p602(Y) & p302(Y)) | (p502(Y) & p402(Y)) | (p602(Y) & p402(Y)) | (p602(Y) & p502(Y)) | (p403(Y) & p303(Y)) | (p503(Y) & p303(Y)) | (p603(Y) & p303(Y)) | (p503(Y) & p403(Y)) | (p603(Y) & p403(Y)) | (p603(Y) & p503(Y)) | (p504(Y) & p404(Y)) | (p604(Y) & p404(Y)) | (p604(Y) & p504(Y)) | (p605(Y) & p505(Y)) | (p505(Y) & ![X: $i] : (p105(X) | (~r1(Y, X)))) | (![X: $i] : (p405(X) | (~r1(Y, X))) & ![X: $i] : (p105(X) | (~r1(Y, X)))) | (![X: $i] : (p305(X) | (~r1(Y, X))) & ![X: $i] : (p105(X) | (~r1(Y, X)))) | (![X: $i] : (p205(X) | (~r1(Y, X))) & ![X: $i] : (p105(X) | (~r1(Y, X)))) | (p604(Y) & ![X: $i] : (p304(X) | (~r1(Y, X)))) | (p504(Y) & ![X: $i] : (p304(X) | (~r1(Y, X)))) | (p404(Y) & ![X: $i] : (p304(X) | (~r1(Y, X)))) | (p604(Y) & ![X: $i] : (p204(X) | (~r1(Y, X)))) | (p504(Y) & ![X: $i] : (p204(X) | (~r1(Y, X)))) | (p404(Y) & ![X: $i] : (p204(X) | (~r1(Y, X)))) | (![X: $i] : (p304(X) | (~r1(Y, X))) & ![X: $i] : (p204(X) | (~r1(Y, X)))) | (p604(Y) & ![X: $i] : (p104(X) | (~r1(Y, X)))) | (p504(Y) & ![X: $i] : (p104(X) | (~r1(Y, X)))) | (p404(Y) & ![X: $i] : (p104(X) | (~r1(Y, X)))) | (![X: $i] : (p304(X) | (~r1(Y, X))) & ![X: $i] : (p104(X) | (~r1(Y, X)))) | (![X: $i] : (p204(X) | (~r1(Y, X))) & ![X: $i] : (p104(X) | (~r1(Y, X)))) | (p603(Y) & ![X: $i] : (p203(X) | (~r1(Y, X)))) | (p503(Y) & ![X: $i] : (p203(X) | (~r1(Y, X)))) | (p403(Y) & ![X: $i] : (p203(X) | (~r1(Y, X)))) | (p303(Y) & ![X: $i] : (p203(X) | (~r1(Y, X)))) | (p603(Y) & ![X: $i] : (p103(X) | (~r1(Y, X)))) | (p503(Y) & ![X: $i] : (p103(X) | (~r1(Y, X)))) | (p403(Y) & ![X: $i] : (p103(X) | (~r1(Y, X)))) | (p303(Y) & ![X: $i] : (p103(X) | (~r1(Y, X)))) | (![X: $i] : (p203(X) | (~r1(Y, X))) & ![X: $i] : (p103(X) | (~r1(Y, X)))) | (p602(Y) & ![X: $i] : (p102(X) | (~r1(Y, X)))) | (p502(Y) & ![X: $i] : (p102(X) | (~r1(Y, X)))) | (p402(Y) & ![X: $i] : (p102(X) | (~r1(Y, X)))) | (p302(Y) & ![X: $i] : (p102(X) | (~r1(Y, X)))) | (p202(Y) & ![X: $i] : (p102(X) | (~r1(Y, X))))))))))),
% 0.39/0.66 inference(rewrite,[status(thm)],[])).
% 0.39/0.66 tff(26,plain,
% 0.39/0.66 ((~(~?[X: $i] : (~((~((p601(X) | p602(X) | p603(X) | p604(X) | p605(X)) & (p501(X) | p502(X) | p503(X) | p504(X) | p505(X)) & (![Y: $i] : (p405(Y) | (~r1(X, Y))) | p401(X) | p402(X) | p403(X) | p404(X)) & (![Y: $i] : (p305(Y) | (~r1(X, Y))) | p301(X) | p302(X) | p303(X) | ![Y: $i] : (p304(Y) | (~r1(X, Y)))) & (![Y: $i] : (p205(Y) | (~r1(X, Y))) | ![Y: $i] : (p204(Y) | (~r1(X, Y))) | ![Y: $i] : (p203(Y) | (~r1(X, Y))) | p201(X) | p202(X)) & (p101(X) | ![Y: $i] : (p105(Y) | (~r1(X, Y))) | ![Y: $i] : (p104(Y) | (~r1(X, Y))) | ![Y: $i] : (p103(Y) | (~r1(X, Y))) | ![Y: $i] : (p102(Y) | (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((p605(Y) & ![X: $i] : (p405(X) | (~r1(Y, X)))) | (p505(Y) & ![X: $i] : (p405(X) | (~r1(Y, X)))) | (p505(Y) & ![X: $i] : (p305(X) | (~r1(Y, X)))) | (p605(Y) & ![X: $i] : (p305(X) | (~r1(Y, X)))) | (![X: $i] : (p405(X) | (~r1(Y, X))) & ![X: $i] : (p305(X) | (~r1(Y, X)))) | (p605(Y) & ![X: $i] : (p205(X) | (~r1(Y, X)))) | (p505(Y) & ![X: $i] : (p205(X) | (~r1(Y, X)))) | (![X: $i] : (p405(X) | (~r1(Y, X))) & ![X: $i] : (p205(X) | (~r1(Y, X)))) | (![X: $i] : (p305(X) | (~r1(Y, X))) & ![X: $i] : (p205(X) | (~r1(Y, X)))) | (p605(Y) & ![X: $i] : (p105(X) | (~r1(Y, X)))) | (p201(Y) & p101(Y)) | (p301(Y) & p101(Y)) | (p401(Y) & p101(Y)) | (p501(Y) & p101(Y)) | (p601(Y) & p101(Y)) | (p301(Y) & p201(Y)) | (p401(Y) & p201(Y)) | (p501(Y) & p201(Y)) | (p601(Y) & p201(Y)) | (p401(Y) & p301(Y)) | (p501(Y) & p301(Y)) | (p601(Y) & p301(Y)) | (p501(Y) & p401(Y)) | (p601(Y) & p401(Y)) | (p601(Y) & p501(Y)) | (p302(Y) & p202(Y)) | (p402(Y) & p202(Y)) | (p502(Y) & p202(Y)) | (p602(Y) & p202(Y)) | (p402(Y) & p302(Y)) | (p502(Y) & p302(Y)) | (p602(Y) & p302(Y)) | (p502(Y) & p402(Y)) | (p602(Y) & p402(Y)) | (p602(Y) & p502(Y)) | (p403(Y) & p303(Y)) | (p503(Y) & p303(Y)) | (p603(Y) & p303(Y)) | (p503(Y) & p403(Y)) | (p603(Y) & p403(Y)) | (p603(Y) & p503(Y)) | (p504(Y) & p404(Y)) | (p604(Y) & p404(Y)) | (p604(Y) & p504(Y)) | (p605(Y) & p505(Y)) | (p505(Y) & ![X: $i] : (p105(X) | (~r1(Y, X)))) | (![X: $i] : (p405(X) | (~r1(Y, X))) & ![X: $i] : (p105(X) | (~r1(Y, X)))) | (![X: $i] : (p305(X) | (~r1(Y, X))) & ![X: $i] : (p105(X) | (~r1(Y, X)))) | (![X: $i] : (p205(X) | (~r1(Y, X))) & ![X: $i] : (p105(X) | (~r1(Y, X)))) | (p604(Y) & ![X: $i] : (p304(X) | (~r1(Y, X)))) | (p504(Y) & ![X: $i] : (p304(X) | (~r1(Y, X)))) | (p404(Y) & ![X: $i] : (p304(X) | (~r1(Y, X)))) | (p604(Y) & ![X: $i] : (p204(X) | (~r1(Y, X)))) | (p504(Y) & ![X: $i] : (p204(X) | (~r1(Y, X)))) | (p404(Y) & ![X: $i] : (p204(X) | (~r1(Y, X)))) | (![X: $i] : (p304(X) | (~r1(Y, X))) & ![X: $i] : (p204(X) | (~r1(Y, X)))) | (p604(Y) & ![X: $i] : (p104(X) | (~r1(Y, X)))) | (p504(Y) & ![X: $i] : (p104(X) | (~r1(Y, X)))) | (p404(Y) & ![X: $i] : (p104(X) | (~r1(Y, X)))) | (![X: $i] : (p304(X) | (~r1(Y, X))) & ![X: $i] : (p104(X) | (~r1(Y, X)))) | (![X: $i] : (p204(X) | (~r1(Y, X))) & ![X: $i] : (p104(X) | (~r1(Y, X)))) | (p603(Y) & ![X: $i] : (p203(X) | (~r1(Y, X)))) | (p503(Y) & ![X: $i] : (p203(X) | (~r1(Y, X)))) | (p403(Y) & ![X: $i] : (p203(X) | (~r1(Y, X)))) | (p303(Y) & ![X: $i] : (p203(X) | (~r1(Y, X)))) | (p603(Y) & ![X: $i] : (p103(X) | (~r1(Y, X)))) | (p503(Y) & ![X: $i] : (p103(X) | (~r1(Y, X)))) | (p403(Y) & ![X: $i] : (p103(X) | (~r1(Y, X)))) | (p303(Y) & ![X: $i] : (p103(X) | (~r1(Y, X)))) | (![X: $i] : (p203(X) | (~r1(Y, X))) & ![X: $i] : (p103(X) | (~r1(Y, X)))) | (p602(Y) & ![X: $i] : (p102(X) | (~r1(Y, X)))) | (p502(Y) & ![X: $i] : (p102(X) | (~r1(Y, X)))) | (p402(Y) & ![X: $i] : (p102(X) | (~r1(Y, X)))) | (p302(Y) & ![X: $i] : (p102(X) | (~r1(Y, X)))) | (p202(Y) & ![X: $i] : (p102(X) | (~r1(Y, X)))))))))))) <=> ?[X: $i] : (~((~((p601(X) | p602(X) | p603(X) | p604(X) | p605(X)) & (p501(X) | p502(X) | p503(X) | p504(X) | p505(X)) & (![Y: $i] : (p405(Y) | (~r1(X, Y))) | p401(X) | p402(X) | p403(X) | p404(X)) & (![Y: $i] : (p305(Y) | (~r1(X, Y))) | p301(X) | p302(X) | p303(X) | ![Y: $i] : (p304(Y) | (~r1(X, Y)))) & (![Y: $i] : (p205(Y) | (~r1(X, Y))) | ![Y: $i] : (p204(Y) | (~r1(X, Y))) | ![Y: $i] : (p203(Y) | (~r1(X, Y))) | p201(X) | p202(X)) & (p101(X) | ![Y: $i] : (p105(Y) | (~r1(X, Y))) | ![Y: $i] : (p104(Y) | (~r1(X, Y))) | ![Y: $i] : (p103(Y) | (~r1(X, Y))) | ![Y: $i] : (p102(Y) | (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((p605(Y) & ![X: $i] : (p405(X) | (~r1(Y, X)))) | (p505(Y) & ![X: $i] : (p405(X) | (~r1(Y, X)))) | (p505(Y) & ![X: $i] : (p305(X) | (~r1(Y, X)))) | (p605(Y) & ![X: $i] : (p305(X) | (~r1(Y, X)))) | (![X: $i] : (p405(X) | (~r1(Y, X))) & ![X: $i] : (p305(X) | (~r1(Y, X)))) | (p605(Y) & ![X: $i] : (p205(X) | (~r1(Y, X)))) | (p505(Y) & ![X: $i] : (p205(X) | (~r1(Y, X)))) | (![X: $i] : (p405(X) | (~r1(Y, X))) & ![X: $i] : (p205(X) | (~r1(Y, X)))) | (![X: $i] : (p305(X) | (~r1(Y, X))) & ![X: $i] : (p205(X) | (~r1(Y, X)))) | (p605(Y) & ![X: $i] : (p105(X) | (~r1(Y, X)))) | (p201(Y) & p101(Y)) | (p301(Y) & p101(Y)) | (p401(Y) & p101(Y)) | (p501(Y) & p101(Y)) | (p601(Y) & p101(Y)) | (p301(Y) & p201(Y)) | (p401(Y) & p201(Y)) | (p501(Y) & p201(Y)) | (p601(Y) & p201(Y)) | (p401(Y) & p301(Y)) | (p501(Y) & p301(Y)) | (p601(Y) & p301(Y)) | (p501(Y) & p401(Y)) | (p601(Y) & p401(Y)) | (p601(Y) & p501(Y)) | (p302(Y) & p202(Y)) | (p402(Y) & p202(Y)) | (p502(Y) & p202(Y)) | (p602(Y) & p202(Y)) | (p402(Y) & p302(Y)) | (p502(Y) & p302(Y)) | (p602(Y) & p302(Y)) | (p502(Y) & p402(Y)) | (p602(Y) & p402(Y)) | (p602(Y) & p502(Y)) | (p403(Y) & p303(Y)) | (p503(Y) & p303(Y)) | (p603(Y) & p303(Y)) | (p503(Y) & p403(Y)) | (p603(Y) & p403(Y)) | (p603(Y) & p503(Y)) | (p504(Y) & p404(Y)) | (p604(Y) & p404(Y)) | (p604(Y) & p504(Y)) | (p605(Y) & p505(Y)) | (p505(Y) & ![X: $i] : (p105(X) | (~r1(Y, X)))) | (![X: $i] : (p405(X) | (~r1(Y, X))) & ![X: $i] : (p105(X) | (~r1(Y, X)))) | (![X: $i] : (p305(X) | (~r1(Y, X))) & ![X: $i] : (p105(X) | (~r1(Y, X)))) | (![X: $i] : (p205(X) | (~r1(Y, X))) & ![X: $i] : (p105(X) | (~r1(Y, X)))) | (p604(Y) & ![X: $i] : (p304(X) | (~r1(Y, X)))) | (p504(Y) & ![X: $i] : (p304(X) | (~r1(Y, X)))) | (p404(Y) & ![X: $i] : (p304(X) | (~r1(Y, X)))) | (p604(Y) & ![X: $i] : (p204(X) | (~r1(Y, X)))) | (p504(Y) & ![X: $i] : (p204(X) | (~r1(Y, X)))) | (p404(Y) & ![X: $i] : (p204(X) | (~r1(Y, X)))) | (![X: $i] : (p304(X) | (~r1(Y, X))) & ![X: $i] : (p204(X) | (~r1(Y, X)))) | (p604(Y) & ![X: $i] : (p104(X) | (~r1(Y, X)))) | (p504(Y) & ![X: $i] : (p104(X) | (~r1(Y, X)))) | (p404(Y) & ![X: $i] : (p104(X) | (~r1(Y, X)))) | (![X: $i] : (p304(X) | (~r1(Y, X))) & ![X: $i] : (p104(X) | (~r1(Y, X)))) | (![X: $i] : (p204(X) | (~r1(Y, X))) & ![X: $i] : (p104(X) | (~r1(Y, X)))) | (p603(Y) & ![X: $i] : (p203(X) | (~r1(Y, X)))) | (p503(Y) & ![X: $i] : (p203(X) | (~r1(Y, X)))) | (p403(Y) & ![X: $i] : (p203(X) | (~r1(Y, X)))) | (p303(Y) & ![X: $i] : (p203(X) | (~r1(Y, X)))) | (p603(Y) & ![X: $i] : (p103(X) | (~r1(Y, X)))) | (p503(Y) & ![X: $i] : (p103(X) | (~r1(Y, X)))) | (p403(Y) & ![X: $i] : (p103(X) | (~r1(Y, X)))) | (p303(Y) & ![X: $i] : (p103(X) | (~r1(Y, X)))) | (![X: $i] : (p203(X) | (~r1(Y, X))) & ![X: $i] : (p103(X) | (~r1(Y, X)))) | (p602(Y) & ![X: $i] : (p102(X) | (~r1(Y, X)))) | (p502(Y) & ![X: $i] : (p102(X) | (~r1(Y, X)))) | (p402(Y) & ![X: $i] : (p102(X) | (~r1(Y, X)))) | (p302(Y) & ![X: $i] : (p102(X) | (~r1(Y, X)))) | (p202(Y) & ![X: $i] : (p102(X) | (~r1(Y, X))))))))))),
% 0.39/0.66 inference(rewrite,[status(thm)],[])).
% 0.39/0.66 tff(27,plain,
% 0.39/0.66 ((~?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | (~(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((p605(Y) & p505(Y)) | (p605(Y) & ![X: $i] : ((~r1(Y, X)) | p405(X)))) | (p505(Y) & ![X: $i] : ((~r1(Y, X)) | p405(X)))) | (p605(Y) & ![X: $i] : ((~r1(Y, X)) | p305(X)))) | (p505(Y) & ![X: $i] : ((~r1(Y, X)) | p305(X)))) | (![X: $i] : ((~r1(Y, X)) | p405(X)) & ![X: $i] : ((~r1(Y, X)) | p305(X)))) | (p605(Y) & ![X: $i] : ((~r1(Y, X)) | p205(X)))) | (p505(Y) & ![X: $i] : ((~r1(Y, X)) | p205(X)))) | (![X: $i] : ((~r1(Y, X)) | p405(X)) & ![X: $i] : ((~r1(Y, X)) | p205(X)))) | (![X: $i] : ((~r1(Y, X)) | p305(X)) & ![X: $i] : ((~r1(Y, X)) | p205(X)))) | (p605(Y) & ![X: $i] : ((~r1(Y, X)) | p105(X)))) | (p505(Y) & ![X: $i] : ((~r1(Y, X)) | p105(X)))) | (![X: $i] : ((~r1(Y, X)) | p405(X)) & ![X: $i] : ((~r1(Y, X)) | p105(X)))) | (![X: $i] : ((~r1(Y, X)) | p305(X)) & ![X: $i] : ((~r1(Y, X)) | p105(X)))) | (![X: $i] : ((~r1(Y, X)) | p205(X)) & ![X: $i] : ((~r1(Y, X)) | p105(X)))) | (p604(Y) & p504(Y))) | (p604(Y) & p404(Y))) | (p504(Y) & p404(Y))) | (p604(Y) & ![X: $i] : ((~r1(Y, X)) | p304(X)))) | (p504(Y) & ![X: $i] : ((~r1(Y, X)) | p304(X)))) | (p404(Y) & ![X: $i] : ((~r1(Y, X)) | p304(X)))) | (p604(Y) & ![X: $i] : ((~r1(Y, X)) | p204(X)))) | (p504(Y) & ![X: $i] : ((~r1(Y, X)) | p204(X)))) | (p404(Y) & ![X: $i] : ((~r1(Y, X)) | p204(X)))) | (![X: $i] : ((~r1(Y, X)) | p304(X)) & ![X: $i] : ((~r1(Y, X)) | p204(X)))) | (p604(Y) & ![X: $i] : ((~r1(Y, X)) | p104(X)))) | (p504(Y) & ![X: $i] : ((~r1(Y, X)) | p104(X)))) | (p404(Y) & ![X: $i] : ((~r1(Y, X)) | p104(X)))) | (![X: $i] : ((~r1(Y, X)) | p304(X)) & ![X: $i] : ((~r1(Y, X)) | p104(X)))) | (![X: $i] : ((~r1(Y, X)) | p204(X)) & ![X: $i] : ((~r1(Y, X)) | p104(X)))) | (p603(Y) & p503(Y))) | (p603(Y) & p403(Y))) | (p503(Y) & p403(Y))) | (p603(Y) & p303(Y))) | (p503(Y) & p303(Y))) | (p403(Y) & p303(Y))) | (p603(Y) & ![X: $i] : ((~r1(Y, X)) | p203(X)))) | (p503(Y) & ![X: $i] : ((~r1(Y, X)) | p203(X)))) | (p403(Y) & ![X: $i] : ((~r1(Y, X)) | p203(X)))) | (p303(Y) & ![X: $i] : ((~r1(Y, X)) | p203(X)))) | (p603(Y) & ![X: $i] : ((~r1(Y, X)) | p103(X)))) | (p503(Y) & ![X: $i] : ((~r1(Y, X)) | p103(X)))) | (p403(Y) & ![X: $i] : ((~r1(Y, X)) | p103(X)))) | (p303(Y) & ![X: $i] : ((~r1(Y, X)) | p103(X)))) | (![X: $i] : ((~r1(Y, X)) | p203(X)) & ![X: $i] : ((~r1(Y, X)) | p103(X)))) | (p602(Y) & p502(Y))) | (p602(Y) & p402(Y))) | (p502(Y) & p402(Y))) | (p602(Y) & p302(Y))) | (p502(Y) & p302(Y))) | (p402(Y) & p302(Y))) | (p602(Y) & p202(Y))) | (p502(Y) & p202(Y))) | (p402(Y) & p202(Y))) | (p302(Y) & p202(Y))) | (p602(Y) & ![X: $i] : ((~r1(Y, X)) | p102(X)))) | (p502(Y) & ![X: $i] : ((~r1(Y, X)) | p102(X)))) | (p402(Y) & ![X: $i] : ((~r1(Y, X)) | p102(X)))) | (p302(Y) & ![X: $i] : ((~r1(Y, X)) | p102(X)))) | (p202(Y) & ![X: $i] : ((~r1(Y, X)) | p102(X)))) | (p601(Y) & p501(Y))) | (p601(Y) & p401(Y))) | (p501(Y) & p401(Y))) | (p601(Y) & p301(Y))) | (p501(Y) & p301(Y))) | (p401(Y) & p301(Y))) | (p601(Y) & p201(Y))) | (p501(Y) & p201(Y))) | (p401(Y) & p201(Y))) | (p301(Y) & p201(Y))) | (p601(Y) & p101(Y))) | (p501(Y) & p101(Y))) | (p401(Y) & p101(Y))) | (p301(Y) & p101(Y))) | (p201(Y) & p101(Y)))))) | (~(((((((((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] : (~((~((p601(X) | p602(X) | p603(X) | p604(X) | p605(X)) & (p501(X) | p502(X) | p503(X) | p504(X) | p505(X)) & (![Y: $i] : (p405(Y) | (~r1(X, Y))) | p401(X) | p402(X) | p403(X) | p404(X)) & (![Y: $i] : (p305(Y) | (~r1(X, Y))) | p301(X) | p302(X) | p303(X) | ![Y: $i] : (p304(Y) | (~r1(X, Y)))) & (![Y: $i] : (p205(Y) | (~r1(X, Y))) | ![Y: $i] : (p204(Y) | (~r1(X, Y))) | ![Y: $i] : (p203(Y) | (~r1(X, Y))) | p201(X) | p202(X)) & (p101(X) | ![Y: $i] : (p105(Y) | (~r1(X, Y))) | ![Y: $i] : (p104(Y) | (~r1(X, Y))) | ![Y: $i] : (p103(Y) | (~r1(X, Y))) | ![Y: $i] : (p102(Y) | (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((p605(Y) & ![X: $i] : (p405(X) | (~r1(Y, X)))) | (p505(Y) & ![X: $i] : (p405(X) | (~r1(Y, X)))) | (p505(Y) & ![X: $i] : (p305(X) | (~r1(Y, X)))) | (p605(Y) & ![X: $i] : (p305(X) | (~r1(Y, X)))) | (![X: $i] : (p405(X) | (~r1(Y, X))) & ![X: $i] : (p305(X) | (~r1(Y, X)))) | (p605(Y) & ![X: $i] : (p205(X) | (~r1(Y, X)))) | (p505(Y) & ![X: $i] : (p205(X) | (~r1(Y, X)))) | (![X: $i] : (p405(X) | (~r1(Y, X))) & ![X: $i] : (p205(X) | (~r1(Y, X)))) | (![X: $i] : (p305(X) | (~r1(Y, X))) & ![X: $i] : (p205(X) | (~r1(Y, X)))) | (p605(Y) & ![X: $i] : (p105(X) | (~r1(Y, X)))) | (p201(Y) & p101(Y)) | (p301(Y) & p101(Y)) | (p401(Y) & p101(Y)) | (p501(Y) & p101(Y)) | (p601(Y) & p101(Y)) | (p301(Y) & p201(Y)) | (p401(Y) & p201(Y)) | (p501(Y) & p201(Y)) | (p601(Y) & p201(Y)) | (p401(Y) & p301(Y)) | (p501(Y) & p301(Y)) | (p601(Y) & p301(Y)) | (p501(Y) & p401(Y)) | (p601(Y) & p401(Y)) | (p601(Y) & p501(Y)) | (p302(Y) & p202(Y)) | (p402(Y) & p202(Y)) | (p502(Y) & p202(Y)) | (p602(Y) & p202(Y)) | (p402(Y) & p302(Y)) | (p502(Y) & p302(Y)) | (p602(Y) & p302(Y)) | (p502(Y) & p402(Y)) | (p602(Y) & p402(Y)) | (p602(Y) & p502(Y)) | (p403(Y) & p303(Y)) | (p503(Y) & p303(Y)) | (p603(Y) & p303(Y)) | (p503(Y) & p403(Y)) | (p603(Y) & p403(Y)) | (p603(Y) & p503(Y)) | (p504(Y) & p404(Y)) | (p604(Y) & p404(Y)) | (p604(Y) & p504(Y)) | (p605(Y) & p505(Y)) | (p505(Y) & ![X: $i] : (p105(X) | (~r1(Y, X)))) | (![X: $i] : (p405(X) | (~r1(Y, X))) & ![X: $i] : (p105(X) | (~r1(Y, X)))) | (![X: $i] : (p305(X) | (~r1(Y, X))) & ![X: $i] : (p105(X) | (~r1(Y, X)))) | (![X: $i] : (p205(X) | (~r1(Y, X))) & ![X: $i] : (p105(X) | (~r1(Y, X)))) | (p604(Y) & ![X: $i] : (p304(X) | (~r1(Y, X)))) | (p504(Y) & ![X: $i] : (p304(X) | (~r1(Y, X)))) | (p404(Y) & ![X: $i] : (p304(X) | (~r1(Y, X)))) | (p604(Y) & ![X: $i] : (p204(X) | (~r1(Y, X)))) | (p504(Y) & ![X: $i] : (p204(X) | (~r1(Y, X)))) | (p404(Y) & ![X: $i] : (p204(X) | (~r1(Y, X)))) | (![X: $i] : (p304(X) | (~r1(Y, X))) & ![X: $i] : (p204(X) | (~r1(Y, X)))) | (p604(Y) & ![X: $i] : (p104(X) | (~r1(Y, X)))) | (p504(Y) & ![X: $i] : (p104(X) | (~r1(Y, X)))) | (p404(Y) & ![X: $i] : (p104(X) | (~r1(Y, X)))) | (![X: $i] : (p304(X) | (~r1(Y, X))) & ![X: $i] : (p104(X) | (~r1(Y, X)))) | (![X: $i] : (p204(X) | (~r1(Y, X))) & ![X: $i] : (p104(X) | (~r1(Y, X)))) | (p603(Y) & ![X: $i] : (p203(X) | (~r1(Y, X)))) | (p503(Y) & ![X: $i] : (p203(X) | (~r1(Y, X)))) | (p403(Y) & ![X: $i] : (p203(X) | (~r1(Y, X)))) | (p303(Y) & ![X: $i] : (p203(X) | (~r1(Y, X)))) | (p603(Y) & ![X: $i] : (p103(X) | (~r1(Y, X)))) | (p503(Y) & ![X: $i] : (p103(X) | (~r1(Y, X)))) | (p403(Y) & ![X: $i] : (p103(X) | (~r1(Y, X)))) | (p303(Y) & ![X: $i] : (p103(X) | (~r1(Y, X)))) | (![X: $i] : (p203(X) | (~r1(Y, X))) & ![X: $i] : (p103(X) | (~r1(Y, X)))) | (p602(Y) & ![X: $i] : (p102(X) | (~r1(Y, X)))) | (p502(Y) & ![X: $i] : (p102(X) | (~r1(Y, X)))) | (p402(Y) & ![X: $i] : (p102(X) | (~r1(Y, X)))) | (p302(Y) & ![X: $i] : (p102(X) | (~r1(Y, X)))) | (p202(Y) & ![X: $i] : (p102(X) | (~r1(Y, X)))))))))))),
% 0.39/0.67 inference(rewrite,[status(thm)],[])).
% 0.39/0.67 tff(28,plain,
% 0.39/0.67 ((~(~?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | (~(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((p605(Y) & p505(Y)) | (p605(Y) & ![X: $i] : ((~r1(Y, X)) | p405(X)))) | (p505(Y) & ![X: $i] : ((~r1(Y, X)) | p405(X)))) | (p605(Y) & ![X: $i] : ((~r1(Y, X)) | p305(X)))) | (p505(Y) & ![X: $i] : ((~r1(Y, X)) | p305(X)))) | (![X: $i] : ((~r1(Y, X)) | p405(X)) & ![X: $i] : ((~r1(Y, X)) | p305(X)))) | (p605(Y) & ![X: $i] : ((~r1(Y, X)) | p205(X)))) | (p505(Y) & ![X: $i] : ((~r1(Y, X)) | p205(X)))) | (![X: $i] : ((~r1(Y, X)) | p405(X)) & ![X: $i] : ((~r1(Y, X)) | p205(X)))) | (![X: $i] : ((~r1(Y, X)) | p305(X)) & ![X: $i] : ((~r1(Y, X)) | p205(X)))) | (p605(Y) & ![X: $i] : ((~r1(Y, X)) | p105(X)))) | (p505(Y) & ![X: $i] : ((~r1(Y, X)) | p105(X)))) | (![X: $i] : ((~r1(Y, X)) | p405(X)) & ![X: $i] : ((~r1(Y, X)) | p105(X)))) | (![X: $i] : ((~r1(Y, X)) | p305(X)) & ![X: $i] : ((~r1(Y, X)) | p105(X)))) | (![X: $i] : ((~r1(Y, X)) | p205(X)) & ![X: $i] : ((~r1(Y, X)) | p105(X)))) | (p604(Y) & p504(Y))) | (p604(Y) & p404(Y))) | (p504(Y) & p404(Y))) | (p604(Y) & ![X: $i] : ((~r1(Y, X)) | p304(X)))) | (p504(Y) & ![X: $i] : ((~r1(Y, X)) | p304(X)))) | (p404(Y) & ![X: $i] : ((~r1(Y, X)) | p304(X)))) | (p604(Y) & ![X: $i] : ((~r1(Y, X)) | p204(X)))) | (p504(Y) & ![X: $i] : ((~r1(Y, X)) | p204(X)))) | (p404(Y) & ![X: $i] : ((~r1(Y, X)) | p204(X)))) | (![X: $i] : ((~r1(Y, X)) | p304(X)) & ![X: $i] : ((~r1(Y, X)) | p204(X)))) | (p604(Y) & ![X: $i] : ((~r1(Y, X)) | p104(X)))) | (p504(Y) & ![X: $i] : ((~r1(Y, X)) | p104(X)))) | (p404(Y) & ![X: $i] : ((~r1(Y, X)) | p104(X)))) | (![X: $i] : ((~r1(Y, X)) | p304(X)) & ![X: $i] : ((~r1(Y, X)) | p104(X)))) | (![X: $i] : ((~r1(Y, X)) | p204(X)) & ![X: $i] : ((~r1(Y, X)) | p104(X)))) | (p603(Y) & p503(Y))) | (p603(Y) & p403(Y))) | (p503(Y) & p403(Y))) | (p603(Y) & p303(Y))) | (p503(Y) & p303(Y))) | (p403(Y) & p303(Y))) | (p603(Y) & ![X: $i] : ((~r1(Y, X)) | p203(X)))) | (p503(Y) & ![X: $i] : ((~r1(Y, X)) | p203(X)))) | (p403(Y) & ![X: $i] : ((~r1(Y, X)) | p203(X)))) | (p303(Y) & ![X: $i] : ((~r1(Y, X)) | p203(X)))) | (p603(Y) & ![X: $i] : ((~r1(Y, X)) | p103(X)))) | (p503(Y) & ![X: $i] : ((~r1(Y, X)) | p103(X)))) | (p403(Y) & ![X: $i] : ((~r1(Y, X)) | p103(X)))) | (p303(Y) & ![X: $i] : ((~r1(Y, X)) | p103(X)))) | (![X: $i] : ((~r1(Y, X)) | p203(X)) & ![X: $i] : ((~r1(Y, X)) | p103(X)))) | (p602(Y) & p502(Y))) | (p602(Y) & p402(Y))) | (p502(Y) & p402(Y))) | (p602(Y) & p302(Y))) | (p502(Y) & p302(Y))) | (p402(Y) & p302(Y))) | (p602(Y) & p202(Y))) | (p502(Y) & p202(Y))) | (p402(Y) & p202(Y))) | (p302(Y) & p202(Y))) | (p602(Y) & ![X: $i] : ((~r1(Y, X)) | p102(X)))) | (p502(Y) & ![X: $i] : ((~r1(Y, X)) | p102(X)))) | (p402(Y) & ![X: $i] : ((~r1(Y, X)) | p102(X)))) | (p302(Y) & ![X: $i] : ((~r1(Y, X)) | p102(X)))) | (p202(Y) & ![X: $i] : ((~r1(Y, X)) | p102(X)))) | (p601(Y) & p501(Y))) | (p601(Y) & p401(Y))) | (p501(Y) & p401(Y))) | (p601(Y) & p301(Y))) | (p501(Y) & p301(Y))) | (p401(Y) & p301(Y))) | (p601(Y) & p201(Y))) | (p501(Y) & p201(Y))) | (p401(Y) & p201(Y))) | (p301(Y) & p201(Y))) | (p601(Y) & p101(Y))) | (p501(Y) & p101(Y))) | (p401(Y) & p101(Y))) | (p301(Y) & p101(Y))) | (p201(Y) & p101(Y)))))) | (~(((((((((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] : (~((~((p601(X) | p602(X) | p603(X) | p604(X) | p605(X)) & (p501(X) | p502(X) | p503(X) | p504(X) | p505(X)) & (![Y: $i] : (p405(Y) | (~r1(X, Y))) | p401(X) | p402(X) | p403(X) | p404(X)) & (![Y: $i] : (p305(Y) | (~r1(X, Y))) | p301(X) | p302(X) | p303(X) | ![Y: $i] : (p304(Y) | (~r1(X, Y)))) & (![Y: $i] : (p205(Y) | (~r1(X, Y))) | ![Y: $i] : (p204(Y) | (~r1(X, Y))) | ![Y: $i] : (p203(Y) | (~r1(X, Y))) | p201(X) | p202(X)) & (p101(X) | ![Y: $i] : (p105(Y) | (~r1(X, Y))) | ![Y: $i] : (p104(Y) | (~r1(X, Y))) | ![Y: $i] : (p103(Y) | (~r1(X, Y))) | ![Y: $i] : (p102(Y) | (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((p605(Y) & ![X: $i] : (p405(X) | (~r1(Y, X)))) | (p505(Y) & ![X: $i] : (p405(X) | (~r1(Y, X)))) | (p505(Y) & ![X: $i] : (p305(X) | (~r1(Y, X)))) | (p605(Y) & ![X: $i] : (p305(X) | (~r1(Y, X)))) | (![X: $i] : (p405(X) | (~r1(Y, X))) & ![X: $i] : (p305(X) | (~r1(Y, X)))) | (p605(Y) & ![X: $i] : (p205(X) | (~r1(Y, X)))) | (p505(Y) & ![X: $i] : (p205(X) | (~r1(Y, X)))) | (![X: $i] : (p405(X) | (~r1(Y, X))) & ![X: $i] : (p205(X) | (~r1(Y, X)))) | (![X: $i] : (p305(X) | (~r1(Y, X))) & ![X: $i] : (p205(X) | (~r1(Y, X)))) | (p605(Y) & ![X: $i] : (p105(X) | (~r1(Y, X)))) | (p201(Y) & p101(Y)) | (p301(Y) & p101(Y)) | (p401(Y) & p101(Y)) | (p501(Y) & p101(Y)) | (p601(Y) & p101(Y)) | (p301(Y) & p201(Y)) | (p401(Y) & p201(Y)) | (p501(Y) & p201(Y)) | (p601(Y) & p201(Y)) | (p401(Y) & p301(Y)) | (p501(Y) & p301(Y)) | (p601(Y) & p301(Y)) | (p501(Y) & p401(Y)) | (p601(Y) & p401(Y)) | (p601(Y) & p501(Y)) | (p302(Y) & p202(Y)) | (p402(Y) & p202(Y)) | (p502(Y) & p202(Y)) | (p602(Y) & p202(Y)) | (p402(Y) & p302(Y)) | (p502(Y) & p302(Y)) | (p602(Y) & p302(Y)) | (p502(Y) & p402(Y)) | (p602(Y) & p402(Y)) | (p602(Y) & p502(Y)) | (p403(Y) & p303(Y)) | (p503(Y) & p303(Y)) | (p603(Y) & p303(Y)) | (p503(Y) & p403(Y)) | (p603(Y) & p403(Y)) | (p603(Y) & p503(Y)) | (p504(Y) & p404(Y)) | (p604(Y) & p404(Y)) | (p604(Y) & p504(Y)) | (p605(Y) & p505(Y)) | (p505(Y) & ![X: $i] : (p105(X) | (~r1(Y, X)))) | (![X: $i] : (p405(X) | (~r1(Y, X))) & ![X: $i] : (p105(X) | (~r1(Y, X)))) | (![X: $i] : (p305(X) | (~r1(Y, X))) & ![X: $i] : (p105(X) | (~r1(Y, X)))) | (![X: $i] : (p205(X) | (~r1(Y, X))) & ![X: $i] : (p105(X) | (~r1(Y, X)))) | (p604(Y) & ![X: $i] : (p304(X) | (~r1(Y, X)))) | (p504(Y) & ![X: $i] : (p304(X) | (~r1(Y, X)))) | (p404(Y) & ![X: $i] : (p304(X) | (~r1(Y, X)))) | (p604(Y) & ![X: $i] : (p204(X) | (~r1(Y, X)))) | (p504(Y) & ![X: $i] : (p204(X) | (~r1(Y, X)))) | (p404(Y) & ![X: $i] : (p204(X) | (~r1(Y, X)))) | (![X: $i] : (p304(X) | (~r1(Y, X))) & ![X: $i] : (p204(X) | (~r1(Y, X)))) | (p604(Y) & ![X: $i] : (p104(X) | (~r1(Y, X)))) | (p504(Y) & ![X: $i] : (p104(X) | (~r1(Y, X)))) | (p404(Y) & ![X: $i] : (p104(X) | (~r1(Y, X)))) | (![X: $i] : (p304(X) | (~r1(Y, X))) & ![X: $i] : (p104(X) | (~r1(Y, X)))) | (![X: $i] : (p204(X) | (~r1(Y, X))) & ![X: $i] : (p104(X) | (~r1(Y, X)))) | (p603(Y) & ![X: $i] : (p203(X) | (~r1(Y, X)))) | (p503(Y) & ![X: $i] : (p203(X) | (~r1(Y, X)))) | (p403(Y) & ![X: $i] : (p203(X) | (~r1(Y, X)))) | (p303(Y) & ![X: $i] : (p203(X) | (~r1(Y, X)))) | (p603(Y) & ![X: $i] : (p103(X) | (~r1(Y, X)))) | (p503(Y) & ![X: $i] : (p103(X) | (~r1(Y, X)))) | (p403(Y) & ![X: $i] : (p103(X) | (~r1(Y, X)))) | (p303(Y) & ![X: $i] : (p103(X) | (~r1(Y, X)))) | (![X: $i] : (p203(X) | (~r1(Y, X))) & ![X: $i] : (p103(X) | (~r1(Y, X)))) | (p602(Y) & ![X: $i] : (p102(X) | (~r1(Y, X)))) | (p502(Y) & ![X: $i] : (p102(X) | (~r1(Y, X)))) | (p402(Y) & ![X: $i] : (p102(X) | (~r1(Y, X)))) | (p302(Y) & ![X: $i] : (p102(X) | (~r1(Y, X)))) | (p202(Y) & ![X: $i] : (p102(X) | (~r1(Y, X))))))))))))),
% 0.39/0.67 inference(monotonicity,[status(thm)],[27])).
% 0.39/0.67 tff(29,plain,
% 0.39/0.67 ((~(~?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | (~(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((p605(Y) & p505(Y)) | (p605(Y) & ![X: $i] : ((~r1(Y, X)) | p405(X)))) | (p505(Y) & ![X: $i] : ((~r1(Y, X)) | p405(X)))) | (p605(Y) & ![X: $i] : ((~r1(Y, X)) | p305(X)))) | (p505(Y) & ![X: $i] : ((~r1(Y, X)) | p305(X)))) | (![X: $i] : ((~r1(Y, X)) | p405(X)) & ![X: $i] : ((~r1(Y, X)) | p305(X)))) | (p605(Y) & ![X: $i] : ((~r1(Y, X)) | p205(X)))) | (p505(Y) & ![X: $i] : ((~r1(Y, X)) | p205(X)))) | (![X: $i] : ((~r1(Y, X)) | p405(X)) & ![X: $i] : ((~r1(Y, X)) | p205(X)))) | (![X: $i] : ((~r1(Y, X)) | p305(X)) & ![X: $i] : ((~r1(Y, X)) | p205(X)))) | (p605(Y) & ![X: $i] : ((~r1(Y, X)) | p105(X)))) | (p505(Y) & ![X: $i] : ((~r1(Y, X)) | p105(X)))) | (![X: $i] : ((~r1(Y, X)) | p405(X)) & ![X: $i] : ((~r1(Y, X)) | p105(X)))) | (![X: $i] : ((~r1(Y, X)) | p305(X)) & ![X: $i] : ((~r1(Y, X)) | p105(X)))) | (![X: $i] : ((~r1(Y, X)) | p205(X)) & ![X: $i] : ((~r1(Y, X)) | p105(X)))) | (p604(Y) & p504(Y))) | (p604(Y) & p404(Y))) | (p504(Y) & p404(Y))) | (p604(Y) & ![X: $i] : ((~r1(Y, X)) | p304(X)))) | (p504(Y) & ![X: $i] : ((~r1(Y, X)) | p304(X)))) | (p404(Y) & ![X: $i] : ((~r1(Y, X)) | p304(X)))) | (p604(Y) & ![X: $i] : ((~r1(Y, X)) | p204(X)))) | (p504(Y) & ![X: $i] : ((~r1(Y, X)) | p204(X)))) | (p404(Y) & ![X: $i] : ((~r1(Y, X)) | p204(X)))) | (![X: $i] : ((~r1(Y, X)) | p304(X)) & ![X: $i] : ((~r1(Y, X)) | p204(X)))) | (p604(Y) & ![X: $i] : ((~r1(Y, X)) | p104(X)))) | (p504(Y) & ![X: $i] : ((~r1(Y, X)) | p104(X)))) | (p404(Y) & ![X: $i] : ((~r1(Y, X)) | p104(X)))) | (![X: $i] : ((~r1(Y, X)) | p304(X)) & ![X: $i] : ((~r1(Y, X)) | p104(X)))) | (![X: $i] : ((~r1(Y, X)) | p204(X)) & ![X: $i] : ((~r1(Y, X)) | p104(X)))) | (p603(Y) & p503(Y))) | (p603(Y) & p403(Y))) | (p503(Y) & p403(Y))) | (p603(Y) & p303(Y))) | (p503(Y) & p303(Y))) | (p403(Y) & p303(Y))) | (p603(Y) & ![X: $i] : ((~r1(Y, X)) | p203(X)))) | (p503(Y) & ![X: $i] : ((~r1(Y, X)) | p203(X)))) | (p403(Y) & ![X: $i] : ((~r1(Y, X)) | p203(X)))) | (p303(Y) & ![X: $i] : ((~r1(Y, X)) | p203(X)))) | (p603(Y) & ![X: $i] : ((~r1(Y, X)) | p103(X)))) | (p503(Y) & ![X: $i] : ((~r1(Y, X)) | p103(X)))) | (p403(Y) & ![X: $i] : ((~r1(Y, X)) | p103(X)))) | (p303(Y) & ![X: $i] : ((~r1(Y, X)) | p103(X)))) | (![X: $i] : ((~r1(Y, X)) | p203(X)) & ![X: $i] : ((~r1(Y, X)) | p103(X)))) | (p602(Y) & p502(Y))) | (p602(Y) & p402(Y))) | (p502(Y) & p402(Y))) | (p602(Y) & p302(Y))) | (p502(Y) & p302(Y))) | (p402(Y) & p302(Y))) | (p602(Y) & p202(Y))) | (p502(Y) & p202(Y))) | (p402(Y) & p202(Y))) | (p302(Y) & p202(Y))) | (p602(Y) & ![X: $i] : ((~r1(Y, X)) | p102(X)))) | (p502(Y) & ![X: $i] : ((~r1(Y, X)) | p102(X)))) | (p402(Y) & ![X: $i] : ((~r1(Y, X)) | p102(X)))) | (p302(Y) & ![X: $i] : ((~r1(Y, X)) | p102(X)))) | (p202(Y) & ![X: $i] : ((~r1(Y, X)) | p102(X)))) | (p601(Y) & p501(Y))) | (p601(Y) & p401(Y))) | (p501(Y) & p401(Y))) | (p601(Y) & p301(Y))) | (p501(Y) & p301(Y))) | (p401(Y) & p301(Y))) | (p601(Y) & p201(Y))) | (p501(Y) & p201(Y))) | (p401(Y) & p201(Y))) | (p301(Y) & p201(Y))) | (p601(Y) & p101(Y))) | (p501(Y) & p101(Y))) | (p401(Y) & p101(Y))) | (p301(Y) & p101(Y))) | (p201(Y) & p101(Y)))))) | (~(((((((((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] : (~((~((p601(X) | p602(X) | p603(X) | p604(X) | p605(X)) & (p501(X) | p502(X) | p503(X) | p504(X) | p505(X)) & (![Y: $i] : (p405(Y) | (~r1(X, Y))) | p401(X) | p402(X) | p403(X) | p404(X)) & (![Y: $i] : (p305(Y) | (~r1(X, Y))) | p301(X) | p302(X) | p303(X) | ![Y: $i] : (p304(Y) | (~r1(X, Y)))) & (![Y: $i] : (p205(Y) | (~r1(X, Y))) | ![Y: $i] : (p204(Y) | (~r1(X, Y))) | ![Y: $i] : (p203(Y) | (~r1(X, Y))) | p201(X) | p202(X)) & (p101(X) | ![Y: $i] : (p105(Y) | (~r1(X, Y))) | ![Y: $i] : (p104(Y) | (~r1(X, Y))) | ![Y: $i] : (p103(Y) | (~r1(X, Y))) | ![Y: $i] : (p102(Y) | (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((p605(Y) & ![X: $i] : (p405(X) | (~r1(Y, X)))) | (p505(Y) & ![X: $i] : (p405(X) | (~r1(Y, X)))) | (p505(Y) & ![X: $i] : (p305(X) | (~r1(Y, X)))) | (p605(Y) & ![X: $i] : (p305(X) | (~r1(Y, X)))) | (![X: $i] : (p405(X) | (~r1(Y, X))) & ![X: $i] : (p305(X) | (~r1(Y, X)))) | (p605(Y) & ![X: $i] : (p205(X) | (~r1(Y, X)))) | (p505(Y) & ![X: $i] : (p205(X) | (~r1(Y, X)))) | (![X: $i] : (p405(X) | (~r1(Y, X))) & ![X: $i] : (p205(X) | (~r1(Y, X)))) | (![X: $i] : (p305(X) | (~r1(Y, X))) & ![X: $i] : (p205(X) | (~r1(Y, X)))) | (p605(Y) & ![X: $i] : (p105(X) | (~r1(Y, X)))) | (p201(Y) & p101(Y)) | (p301(Y) & p101(Y)) | (p401(Y) & p101(Y)) | (p501(Y) & p101(Y)) | (p601(Y) & p101(Y)) | (p301(Y) & p201(Y)) | (p401(Y) & p201(Y)) | (p501(Y) & p201(Y)) | (p601(Y) & p201(Y)) | (p401(Y) & p301(Y)) | (p501(Y) & p301(Y)) | (p601(Y) & p301(Y)) | (p501(Y) & p401(Y)) | (p601(Y) & p401(Y)) | (p601(Y) & p501(Y)) | (p302(Y) & p202(Y)) | (p402(Y) & p202(Y)) | (p502(Y) & p202(Y)) | (p602(Y) & p202(Y)) | (p402(Y) & p302(Y)) | (p502(Y) & p302(Y)) | (p602(Y) & p302(Y)) | (p502(Y) & p402(Y)) | (p602(Y) & p402(Y)) | (p602(Y) & p502(Y)) | (p403(Y) & p303(Y)) | (p503(Y) & p303(Y)) | (p603(Y) & p303(Y)) | (p503(Y) & p403(Y)) | (p603(Y) & p403(Y)) | (p603(Y) & p503(Y)) | (p504(Y) & p404(Y)) | (p604(Y) & p404(Y)) | (p604(Y) & p504(Y)) | (p605(Y) & p505(Y)) | (p505(Y) & ![X: $i] : (p105(X) | (~r1(Y, X)))) | (![X: $i] : (p405(X) | (~r1(Y, X))) & ![X: $i] : (p105(X) | (~r1(Y, X)))) | (![X: $i] : (p305(X) | (~r1(Y, X))) & ![X: $i] : (p105(X) | (~r1(Y, X)))) | (![X: $i] : (p205(X) | (~r1(Y, X))) & ![X: $i] : (p105(X) | (~r1(Y, X)))) | (p604(Y) & ![X: $i] : (p304(X) | (~r1(Y, X)))) | (p504(Y) & ![X: $i] : (p304(X) | (~r1(Y, X)))) | (p404(Y) & ![X: $i] : (p304(X) | (~r1(Y, X)))) | (p604(Y) & ![X: $i] : (p204(X) | (~r1(Y, X)))) | (p504(Y) & ![X: $i] : (p204(X) | (~r1(Y, X)))) | (p404(Y) & ![X: $i] : (p204(X) | (~r1(Y, X)))) | (![X: $i] : (p304(X) | (~r1(Y, X))) & ![X: $i] : (p204(X) | (~r1(Y, X)))) | (p604(Y) & ![X: $i] : (p104(X) | (~r1(Y, X)))) | (p504(Y) & ![X: $i] : (p104(X) | (~r1(Y, X)))) | (p404(Y) & ![X: $i] : (p104(X) | (~r1(Y, X)))) | (![X: $i] : (p304(X) | (~r1(Y, X))) & ![X: $i] : (p104(X) | (~r1(Y, X)))) | (![X: $i] : (p204(X) | (~r1(Y, X))) & ![X: $i] : (p104(X) | (~r1(Y, X)))) | (p603(Y) & ![X: $i] : (p203(X) | (~r1(Y, X)))) | (p503(Y) & ![X: $i] : (p203(X) | (~r1(Y, X)))) | (p403(Y) & ![X: $i] : (p203(X) | (~r1(Y, X)))) | (p303(Y) & ![X: $i] : (p203(X) | (~r1(Y, X)))) | (p603(Y) & ![X: $i] : (p103(X) | (~r1(Y, X)))) | (p503(Y) & ![X: $i] : (p103(X) | (~r1(Y, X)))) | (p403(Y) & ![X: $i] : (p103(X) | (~r1(Y, X)))) | (p303(Y) & ![X: $i] : (p103(X) | (~r1(Y, X)))) | (![X: $i] : (p203(X) | (~r1(Y, X))) & ![X: $i] : (p103(X) | (~r1(Y, X)))) | (p602(Y) & ![X: $i] : (p102(X) | (~r1(Y, X)))) | (p502(Y) & ![X: $i] : (p102(X) | (~r1(Y, X)))) | (p402(Y) & ![X: $i] : (p102(X) | (~r1(Y, X)))) | (p302(Y) & ![X: $i] : (p102(X) | (~r1(Y, X)))) | (p202(Y) & ![X: $i] : (p102(X) | (~r1(Y, X))))))))))),
% 0.39/0.68 inference(transitivity,[status(thm)],[28, 26])).
% 0.39/0.68 tff(30,axiom,(~(~?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | (~(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((p605(Y) & p505(Y)) | (p605(Y) & ![X: $i] : ((~r1(Y, X)) | p405(X)))) | (p505(Y) & ![X: $i] : ((~r1(Y, X)) | p405(X)))) | (p605(Y) & ![X: $i] : ((~r1(Y, X)) | p305(X)))) | (p505(Y) & ![X: $i] : ((~r1(Y, X)) | p305(X)))) | (![X: $i] : ((~r1(Y, X)) | p405(X)) & ![X: $i] : ((~r1(Y, X)) | p305(X)))) | (p605(Y) & ![X: $i] : ((~r1(Y, X)) | p205(X)))) | (p505(Y) & ![X: $i] : ((~r1(Y, X)) | p205(X)))) | (![X: $i] : ((~r1(Y, X)) | p405(X)) & ![X: $i] : ((~r1(Y, X)) | p205(X)))) | (![X: $i] : ((~r1(Y, X)) | p305(X)) & ![X: $i] : ((~r1(Y, X)) | p205(X)))) | (p605(Y) & ![X: $i] : ((~r1(Y, X)) | p105(X)))) | (p505(Y) & ![X: $i] : ((~r1(Y, X)) | p105(X)))) | (![X: $i] : ((~r1(Y, X)) | p405(X)) & ![X: $i] : ((~r1(Y, X)) | p105(X)))) | (![X: $i] : ((~r1(Y, X)) | p305(X)) & ![X: $i] : ((~r1(Y, X)) | p105(X)))) | (![X: $i] : ((~r1(Y, X)) | p205(X)) & ![X: $i] : ((~r1(Y, X)) | p105(X)))) | (p604(Y) & p504(Y))) | (p604(Y) & p404(Y))) | (p504(Y) & p404(Y))) | (p604(Y) & ![X: $i] : ((~r1(Y, X)) | p304(X)))) | (p504(Y) & ![X: $i] : ((~r1(Y, X)) | p304(X)))) | (p404(Y) & ![X: $i] : ((~r1(Y, X)) | p304(X)))) | (p604(Y) & ![X: $i] : ((~r1(Y, X)) | p204(X)))) | (p504(Y) & ![X: $i] : ((~r1(Y, X)) | p204(X)))) | (p404(Y) & ![X: $i] : ((~r1(Y, X)) | p204(X)))) | (![X: $i] : ((~r1(Y, X)) | p304(X)) & ![X: $i] : ((~r1(Y, X)) | p204(X)))) | (p604(Y) & ![X: $i] : ((~r1(Y, X)) | p104(X)))) | (p504(Y) & ![X: $i] : ((~r1(Y, X)) | p104(X)))) | (p404(Y) & ![X: $i] : ((~r1(Y, X)) | p104(X)))) | (![X: $i] : ((~r1(Y, X)) | p304(X)) & ![X: $i] : ((~r1(Y, X)) | p104(X)))) | (![X: $i] : ((~r1(Y, X)) | p204(X)) & ![X: $i] : ((~r1(Y, X)) | p104(X)))) | (p603(Y) & p503(Y))) | (p603(Y) & p403(Y))) | (p503(Y) & p403(Y))) | (p603(Y) & p303(Y))) | (p503(Y) & p303(Y))) | (p403(Y) & p303(Y))) | (p603(Y) & ![X: $i] : ((~r1(Y, X)) | p203(X)))) | (p503(Y) & ![X: $i] : ((~r1(Y, X)) | p203(X)))) | (p403(Y) & ![X: $i] : ((~r1(Y, X)) | p203(X)))) | (p303(Y) & ![X: $i] : ((~r1(Y, X)) | p203(X)))) | (p603(Y) & ![X: $i] : ((~r1(Y, X)) | p103(X)))) | (p503(Y) & ![X: $i] : ((~r1(Y, X)) | p103(X)))) | (p403(Y) & ![X: $i] : ((~r1(Y, X)) | p103(X)))) | (p303(Y) & ![X: $i] : ((~r1(Y, X)) | p103(X)))) | (![X: $i] : ((~r1(Y, X)) | p203(X)) & ![X: $i] : ((~r1(Y, X)) | p103(X)))) | (p602(Y) & p502(Y))) | (p602(Y) & p402(Y))) | (p502(Y) & p402(Y))) | (p602(Y) & p302(Y))) | (p502(Y) & p302(Y))) | (p402(Y) & p302(Y))) | (p602(Y) & p202(Y))) | (p502(Y) & p202(Y))) | (p402(Y) & p202(Y))) | (p302(Y) & p202(Y))) | (p602(Y) & ![X: $i] : ((~r1(Y, X)) | p102(X)))) | (p502(Y) & ![X: $i] : ((~r1(Y, X)) | p102(X)))) | (p402(Y) & ![X: $i] : ((~r1(Y, X)) | p102(X)))) | (p302(Y) & ![X: $i] : ((~r1(Y, X)) | p102(X)))) | (p202(Y) & ![X: $i] : ((~r1(Y, X)) | p102(X)))) | (p601(Y) & p501(Y))) | (p601(Y) & p401(Y))) | (p501(Y) & p401(Y))) | (p601(Y) & p301(Y))) | (p501(Y) & p301(Y))) | (p401(Y) & p301(Y))) | (p601(Y) & p201(Y))) | (p501(Y) & p201(Y))) | (p401(Y) & p201(Y))) | (p301(Y) & p201(Y))) | (p601(Y) & p101(Y))) | (p501(Y) & p101(Y))) | (p401(Y) & p101(Y))) | (p301(Y) & p101(Y))) | (p201(Y) & p101(Y)))))) | (~(((((((((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')).
% 0.39/0.68 tff(31,plain,
% 0.39/0.68 (?[X: $i] : (~((~((p601(X) | p602(X) | p603(X) | p604(X) | p605(X)) & (p501(X) | p502(X) | p503(X) | p504(X) | p505(X)) & (![Y: $i] : (p405(Y) | (~r1(X, Y))) | p401(X) | p402(X) | p403(X) | p404(X)) & (![Y: $i] : (p305(Y) | (~r1(X, Y))) | p301(X) | p302(X) | p303(X) | ![Y: $i] : (p304(Y) | (~r1(X, Y)))) & (![Y: $i] : (p205(Y) | (~r1(X, Y))) | ![Y: $i] : (p204(Y) | (~r1(X, Y))) | ![Y: $i] : (p203(Y) | (~r1(X, Y))) | p201(X) | p202(X)) & (p101(X) | ![Y: $i] : (p105(Y) | (~r1(X, Y))) | ![Y: $i] : (p104(Y) | (~r1(X, Y))) | ![Y: $i] : (p103(Y) | (~r1(X, Y))) | ![Y: $i] : (p102(Y) | (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((p605(Y) & ![X: $i] : (p405(X) | (~r1(Y, X)))) | (p505(Y) & ![X: $i] : (p405(X) | (~r1(Y, X)))) | (p505(Y) & ![X: $i] : (p305(X) | (~r1(Y, X)))) | (p605(Y) & ![X: $i] : (p305(X) | (~r1(Y, X)))) | (![X: $i] : (p405(X) | (~r1(Y, X))) & ![X: $i] : (p305(X) | (~r1(Y, X)))) | (p605(Y) & ![X: $i] : (p205(X) | (~r1(Y, X)))) | (p505(Y) & ![X: $i] : (p205(X) | (~r1(Y, X)))) | (![X: $i] : (p405(X) | (~r1(Y, X))) & ![X: $i] : (p205(X) | (~r1(Y, X)))) | (![X: $i] : (p305(X) | (~r1(Y, X))) & ![X: $i] : (p205(X) | (~r1(Y, X)))) | (p605(Y) & ![X: $i] : (p105(X) | (~r1(Y, X)))) | (p201(Y) & p101(Y)) | (p301(Y) & p101(Y)) | (p401(Y) & p101(Y)) | (p501(Y) & p101(Y)) | (p601(Y) & p101(Y)) | (p301(Y) & p201(Y)) | (p401(Y) & p201(Y)) | (p501(Y) & p201(Y)) | (p601(Y) & p201(Y)) | (p401(Y) & p301(Y)) | (p501(Y) & p301(Y)) | (p601(Y) & p301(Y)) | (p501(Y) & p401(Y)) | (p601(Y) & p401(Y)) | (p601(Y) & p501(Y)) | (p302(Y) & p202(Y)) | (p402(Y) & p202(Y)) | (p502(Y) & p202(Y)) | (p602(Y) & p202(Y)) | (p402(Y) & p302(Y)) | (p502(Y) & p302(Y)) | (p602(Y) & p302(Y)) | (p502(Y) & p402(Y)) | (p602(Y) & p402(Y)) | (p602(Y) & p502(Y)) | (p403(Y) & p303(Y)) | (p503(Y) & p303(Y)) | (p603(Y) & p303(Y)) | (p503(Y) & p403(Y)) | (p603(Y) & p403(Y)) | (p603(Y) & p503(Y)) | (p504(Y) & p404(Y)) | (p604(Y) & p404(Y)) | (p604(Y) & p504(Y)) | (p605(Y) & p505(Y)) | (p505(Y) & ![X: $i] : (p105(X) | (~r1(Y, X)))) | (![X: $i] : (p405(X) | (~r1(Y, X))) & ![X: $i] : (p105(X) | (~r1(Y, X)))) | (![X: $i] : (p305(X) | (~r1(Y, X))) & ![X: $i] : (p105(X) | (~r1(Y, X)))) | (![X: $i] : (p205(X) | (~r1(Y, X))) & ![X: $i] : (p105(X) | (~r1(Y, X)))) | (p604(Y) & ![X: $i] : (p304(X) | (~r1(Y, X)))) | (p504(Y) & ![X: $i] : (p304(X) | (~r1(Y, X)))) | (p404(Y) & ![X: $i] : (p304(X) | (~r1(Y, X)))) | (p604(Y) & ![X: $i] : (p204(X) | (~r1(Y, X)))) | (p504(Y) & ![X: $i] : (p204(X) | (~r1(Y, X)))) | (p404(Y) & ![X: $i] : (p204(X) | (~r1(Y, X)))) | (![X: $i] : (p304(X) | (~r1(Y, X))) & ![X: $i] : (p204(X) | (~r1(Y, X)))) | (p604(Y) & ![X: $i] : (p104(X) | (~r1(Y, X)))) | (p504(Y) & ![X: $i] : (p104(X) | (~r1(Y, X)))) | (p404(Y) & ![X: $i] : (p104(X) | (~r1(Y, X)))) | (![X: $i] : (p304(X) | (~r1(Y, X))) & ![X: $i] : (p104(X) | (~r1(Y, X)))) | (![X: $i] : (p204(X) | (~r1(Y, X))) & ![X: $i] : (p104(X) | (~r1(Y, X)))) | (p603(Y) & ![X: $i] : (p203(X) | (~r1(Y, X)))) | (p503(Y) & ![X: $i] : (p203(X) | (~r1(Y, X)))) | (p403(Y) & ![X: $i] : (p203(X) | (~r1(Y, X)))) | (p303(Y) & ![X: $i] : (p203(X) | (~r1(Y, X)))) | (p603(Y) & ![X: $i] : (p103(X) | (~r1(Y, X)))) | (p503(Y) & ![X: $i] : (p103(X) | (~r1(Y, X)))) | (p403(Y) & ![X: $i] : (p103(X) | (~r1(Y, X)))) | (p303(Y) & ![X: $i] : (p103(X) | (~r1(Y, X)))) | (![X: $i] : (p203(X) | (~r1(Y, X))) & ![X: $i] : (p103(X) | (~r1(Y, X)))) | (p602(Y) & ![X: $i] : (p102(X) | (~r1(Y, X)))) | (p502(Y) & ![X: $i] : (p102(X) | (~r1(Y, X)))) | (p402(Y) & ![X: $i] : (p102(X) | (~r1(Y, X)))) | (p302(Y) & ![X: $i] : (p102(X) | (~r1(Y, X)))) | (p202(Y) & ![X: $i] : (p102(X) | (~r1(Y, X))))))))))),
% 0.39/0.68 inference(modus_ponens,[status(thm)],[30, 29])).
% 0.39/0.68 tff(32,plain,
% 0.39/0.68 (?[X: $i] : (~((~((p601(X) | p602(X) | p603(X) | p604(X) | p605(X)) & (p501(X) | p502(X) | p503(X) | p504(X) | p505(X)) & (![Y: $i] : (p405(Y) | (~r1(X, Y))) | p401(X) | p402(X) | p403(X) | p404(X)) & (![Y: $i] : (p305(Y) | (~r1(X, Y))) | p301(X) | p302(X) | p303(X) | ![Y: $i] : (p304(Y) | (~r1(X, Y)))) & (![Y: $i] : (p205(Y) | (~r1(X, Y))) | ![Y: $i] : (p204(Y) | (~r1(X, Y))) | ![Y: $i] : (p203(Y) | (~r1(X, Y))) | p201(X) | p202(X)) & (p101(X) | ![Y: $i] : (p105(Y) | (~r1(X, Y))) | ![Y: $i] : (p104(Y) | (~r1(X, Y))) | ![Y: $i] : (p103(Y) | (~r1(X, Y))) | ![Y: $i] : (p102(Y) | (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((p605(Y) & ![X: $i] : (p405(X) | (~r1(Y, X)))) | (p505(Y) & ![X: $i] : (p405(X) | (~r1(Y, X)))) | (p505(Y) & ![X: $i] : (p305(X) | (~r1(Y, X)))) | (p605(Y) & ![X: $i] : (p305(X) | (~r1(Y, X)))) | (![X: $i] : (p405(X) | (~r1(Y, X))) & ![X: $i] : (p305(X) | (~r1(Y, X)))) | (p605(Y) & ![X: $i] : (p205(X) | (~r1(Y, X)))) | (p505(Y) & ![X: $i] : (p205(X) | (~r1(Y, X)))) | (![X: $i] : (p405(X) | (~r1(Y, X))) & ![X: $i] : (p205(X) | (~r1(Y, X)))) | (![X: $i] : (p305(X) | (~r1(Y, X))) & ![X: $i] : (p205(X) | (~r1(Y, X)))) | (p605(Y) & ![X: $i] : (p105(X) | (~r1(Y, X)))) | (p201(Y) & p101(Y)) | (p301(Y) & p101(Y)) | (p401(Y) & p101(Y)) | (p501(Y) & p101(Y)) | (p601(Y) & p101(Y)) | (p301(Y) & p201(Y)) | (p401(Y) & p201(Y)) | (p501(Y) & p201(Y)) | (p601(Y) & p201(Y)) | (p401(Y) & p301(Y)) | (p501(Y) & p301(Y)) | (p601(Y) & p301(Y)) | (p501(Y) & p401(Y)) | (p601(Y) & p401(Y)) | (p601(Y) & p501(Y)) | (p302(Y) & p202(Y)) | (p402(Y) & p202(Y)) | (p502(Y) & p202(Y)) | (p602(Y) & p202(Y)) | (p402(Y) & p302(Y)) | (p502(Y) & p302(Y)) | (p602(Y) & p302(Y)) | (p502(Y) & p402(Y)) | (p602(Y) & p402(Y)) | (p602(Y) & p502(Y)) | (p403(Y) & p303(Y)) | (p503(Y) & p303(Y)) | (p603(Y) & p303(Y)) | (p503(Y) & p403(Y)) | (p603(Y) & p403(Y)) | (p603(Y) & p503(Y)) | (p504(Y) & p404(Y)) | (p604(Y) & p404(Y)) | (p604(Y) & p504(Y)) | (p605(Y) & p505(Y)) | (p505(Y) & ![X: $i] : (p105(X) | (~r1(Y, X)))) | (![X: $i] : (p405(X) | (~r1(Y, X))) & ![X: $i] : (p105(X) | (~r1(Y, X)))) | (![X: $i] : (p305(X) | (~r1(Y, X))) & ![X: $i] : (p105(X) | (~r1(Y, X)))) | (![X: $i] : (p205(X) | (~r1(Y, X))) & ![X: $i] : (p105(X) | (~r1(Y, X)))) | (p604(Y) & ![X: $i] : (p304(X) | (~r1(Y, X)))) | (p504(Y) & ![X: $i] : (p304(X) | (~r1(Y, X)))) | (p404(Y) & ![X: $i] : (p304(X) | (~r1(Y, X)))) | (p604(Y) & ![X: $i] : (p204(X) | (~r1(Y, X)))) | (p504(Y) & ![X: $i] : (p204(X) | (~r1(Y, X)))) | (p404(Y) & ![X: $i] : (p204(X) | (~r1(Y, X)))) | (![X: $i] : (p304(X) | (~r1(Y, X))) & ![X: $i] : (p204(X) | (~r1(Y, X)))) | (p604(Y) & ![X: $i] : (p104(X) | (~r1(Y, X)))) | (p504(Y) & ![X: $i] : (p104(X) | (~r1(Y, X)))) | (p404(Y) & ![X: $i] : (p104(X) | (~r1(Y, X)))) | (![X: $i] : (p304(X) | (~r1(Y, X))) & ![X: $i] : (p104(X) | (~r1(Y, X)))) | (![X: $i] : (p204(X) | (~r1(Y, X))) & ![X: $i] : (p104(X) | (~r1(Y, X)))) | (p603(Y) & ![X: $i] : (p203(X) | (~r1(Y, X)))) | (p503(Y) & ![X: $i] : (p203(X) | (~r1(Y, X)))) | (p403(Y) & ![X: $i] : (p203(X) | (~r1(Y, X)))) | (p303(Y) & ![X: $i] : (p203(X) | (~r1(Y, X)))) | (p603(Y) & ![X: $i] : (p103(X) | (~r1(Y, X)))) | (p503(Y) & ![X: $i] : (p103(X) | (~r1(Y, X)))) | (p403(Y) & ![X: $i] : (p103(X) | (~r1(Y, X)))) | (p303(Y) & ![X: $i] : (p103(X) | (~r1(Y, X)))) | (![X: $i] : (p203(X) | (~r1(Y, X))) & ![X: $i] : (p103(X) | (~r1(Y, X)))) | (p602(Y) & ![X: $i] : (p102(X) | (~r1(Y, X)))) | (p502(Y) & ![X: $i] : (p102(X) | (~r1(Y, X)))) | (p402(Y) & ![X: $i] : (p102(X) | (~r1(Y, X)))) | (p302(Y) & ![X: $i] : (p102(X) | (~r1(Y, X)))) | (p202(Y) & ![X: $i] : (p102(X) | (~r1(Y, X))))))))))),
% 0.39/0.68 inference(modus_ponens,[status(thm)],[31, 25])).
% 0.39/0.68 tff(33,plain,
% 0.39/0.68 ((p601(X!0) | p602(X!0) | p603(X!0) | p604(X!0) | p605(X!0)) & (p501(X!0) | p502(X!0) | p503(X!0) | p504(X!0) | p505(X!0)) & (p404(X!0) | p403(X!0) | p402(X!0) | p401(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y)))) & (p302(X!0) | p301(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p303(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y)))) & (![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | p202(X!0) | p201(X!0) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y)))) & (p101(X!0) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y)))) & ![Y: $i] : ((~r1(X!0, Y)) | (((~p605(Y)) | (~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) & ((~p505(Y)) | (~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) & ((~p505(Y)) | (~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) & ((~p605(Y)) | (~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) & ((~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | (~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) & ((~p605(Y)) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) & ((~p505(Y)) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) & ((~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) & ((~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) & ((~p605(Y)) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y)))))) & (~(p201(Y) & p101(Y))) & (~(p301(Y) & p101(Y))) & (~(p401(Y) & p101(Y))) & (~(p501(Y) & p101(Y))) & (~(p601(Y) & p101(Y))) & (~(p301(Y) & p201(Y))) & (~(p401(Y) & p201(Y))) & (~(p501(Y) & p201(Y))) & (~(p601(Y) & p201(Y))) & (~(p401(Y) & p301(Y))) & (~(p501(Y) & p301(Y))) & (~(p601(Y) & p301(Y))) & (~(p501(Y) & p401(Y))) & (~(p601(Y) & p401(Y))) & (~(p601(Y) & p501(Y))) & (~(p302(Y) & p202(Y))) & (~(p402(Y) & p202(Y))) & (~(p502(Y) & p202(Y))) & (~(p602(Y) & p202(Y))) & (~(p402(Y) & p302(Y))) & (~(p502(Y) & p302(Y))) & (~(p602(Y) & p302(Y))) & (~(p502(Y) & p402(Y))) & (~(p602(Y) & p402(Y))) & (~(p602(Y) & p502(Y))) & (~(p403(Y) & p303(Y))) & (~(p503(Y) & p303(Y))) & (~(p603(Y) & p303(Y))) & (~(p503(Y) & p403(Y))) & (~(p603(Y) & p403(Y))) & (~(p603(Y) & p503(Y))) & (~(p504(Y) & p404(Y))) & (~(p604(Y) & p404(Y))) & (~(p604(Y) & p504(Y))) & (~(p605(Y) & p505(Y))) & ((~p505(Y)) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y)))))) & ((~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y)))))) & ((~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y)))))) & ((~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y)))))) & ((~p604(Y)) | (~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y)))))) & ((~p504(Y)) | (~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y)))))) & ((~p404(Y)) | (~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y)))))) & ((~p604(Y)) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y)))))) & ((~p504(Y)) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y)))))) & ((~p404(Y)) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y)))))) & ((~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y))))) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y)))))) & ((~p604(Y)) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y)))))) & ((~p504(Y)) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y)))))) & ((~p404(Y)) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y)))))) & ((~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y))))) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y)))))) & ((~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y))))) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y)))))) & ((~p603(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y)))))) & ((~p503(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y)))))) & ((~p403(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y)))))) & ((~p303(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y)))))) & ((~p603(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y)))))) & ((~p503(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y)))))) & ((~p403(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y)))))) & ((~p303(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y)))))) & ((~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y))))) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y)))))) & ((~p602(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y)))))) & ((~p502(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y)))))) & ((~p402(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y)))))) & ((~p302(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y)))))) & ((~p202(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y))))))))),
% 0.39/0.68 inference(modus_ponens,[status(thm)],[32, 24])).
% 0.39/0.68 tff(34,plain,
% 0.39/0.68 (![Y: $i] : ((~r1(X!0, Y)) | (((~p605(Y)) | (~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) & ((~p505(Y)) | (~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) & ((~p505(Y)) | (~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) & ((~p605(Y)) | (~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) & ((~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | (~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) & ((~p605(Y)) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) & ((~p505(Y)) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) & ((~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) & ((~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) & ((~p605(Y)) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y)))))) & (~(p201(Y) & p101(Y))) & (~(p301(Y) & p101(Y))) & (~(p401(Y) & p101(Y))) & (~(p501(Y) & p101(Y))) & (~(p601(Y) & p101(Y))) & (~(p301(Y) & p201(Y))) & (~(p401(Y) & p201(Y))) & (~(p501(Y) & p201(Y))) & (~(p601(Y) & p201(Y))) & (~(p401(Y) & p301(Y))) & (~(p501(Y) & p301(Y))) & (~(p601(Y) & p301(Y))) & (~(p501(Y) & p401(Y))) & (~(p601(Y) & p401(Y))) & (~(p601(Y) & p501(Y))) & (~(p302(Y) & p202(Y))) & (~(p402(Y) & p202(Y))) & (~(p502(Y) & p202(Y))) & (~(p602(Y) & p202(Y))) & (~(p402(Y) & p302(Y))) & (~(p502(Y) & p302(Y))) & (~(p602(Y) & p302(Y))) & (~(p502(Y) & p402(Y))) & (~(p602(Y) & p402(Y))) & (~(p602(Y) & p502(Y))) & (~(p403(Y) & p303(Y))) & (~(p503(Y) & p303(Y))) & (~(p603(Y) & p303(Y))) & (~(p503(Y) & p403(Y))) & (~(p603(Y) & p403(Y))) & (~(p603(Y) & p503(Y))) & (~(p504(Y) & p404(Y))) & (~(p604(Y) & p404(Y))) & (~(p604(Y) & p504(Y))) & (~(p605(Y) & p505(Y))) & ((~p505(Y)) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y)))))) & ((~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y)))))) & ((~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y)))))) & ((~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y)))))) & ((~p604(Y)) | (~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y)))))) & ((~p504(Y)) | (~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y)))))) & ((~p404(Y)) | (~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y)))))) & ((~p604(Y)) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y)))))) & ((~p504(Y)) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y)))))) & ((~p404(Y)) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y)))))) & ((~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y))))) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y)))))) & ((~p604(Y)) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y)))))) & ((~p504(Y)) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y)))))) & ((~p404(Y)) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y)))))) & ((~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y))))) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y)))))) & ((~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y))))) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y)))))) & ((~p603(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y)))))) & ((~p503(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y)))))) & ((~p403(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y)))))) & ((~p303(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y)))))) & ((~p603(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y)))))) & ((~p503(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y)))))) & ((~p403(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y)))))) & ((~p303(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y)))))) & ((~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y))))) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y)))))) & ((~p602(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y)))))) & ((~p502(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y)))))) & ((~p402(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y)))))) & ((~p302(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y)))))) & ((~p202(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y))))))))),
% 0.39/0.68 inference(and_elim,[status(thm)],[33])).
% 0.39/0.68 tff(35,plain,
% 0.39/0.68 (![Y: $i] : ((~r1(X!0, Y)) | (~((~((~p101(Y)) | (~p201(Y)))) | (~((~p101(Y)) | (~p301(Y)))) | (~((~p101(Y)) | (~p401(Y)))) | (~((~p101(Y)) | (~p501(Y)))) | (~((~p101(Y)) | (~p601(Y)))) | (~((~p201(Y)) | (~p301(Y)))) | (~((~p201(Y)) | (~p401(Y)))) | (~((~p201(Y)) | (~p501(Y)))) | (~((~p201(Y)) | (~p601(Y)))) | (~((~p301(Y)) | (~p401(Y)))) | (~((~p301(Y)) | (~p501(Y)))) | (~((~p301(Y)) | (~p601(Y)))) | (~((~p401(Y)) | (~p501(Y)))) | (~((~p401(Y)) | (~p601(Y)))) | (~((~p501(Y)) | (~p601(Y)))) | (~((~p302(Y)) | (~p202(Y)))) | (~((~p402(Y)) | (~p202(Y)))) | (~((~p502(Y)) | (~p202(Y)))) | (~((~p602(Y)) | (~p202(Y)))) | (~((~p402(Y)) | (~p302(Y)))) | (~((~p502(Y)) | (~p302(Y)))) | (~((~p602(Y)) | (~p302(Y)))) | (~((~p502(Y)) | (~p402(Y)))) | (~((~p602(Y)) | (~p402(Y)))) | (~((~p602(Y)) | (~p502(Y)))) | (~((~p403(Y)) | (~p303(Y)))) | (~((~p503(Y)) | (~p303(Y)))) | (~((~p603(Y)) | (~p303(Y)))) | (~((~p503(Y)) | (~p403(Y)))) | (~((~p603(Y)) | (~p403(Y)))) | (~((~p603(Y)) | (~p503(Y)))) | (~((~p504(Y)) | (~p404(Y)))) | (~((~p604(Y)) | (~p404(Y)))) | (~((~p604(Y)) | (~p504(Y)))) | (~((~p605(Y)) | (~p505(Y)))) | (~((~p605(Y)) | (~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))) | (~((~p505(Y)) | (~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))) | (~((~p505(Y)) | (~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))))) | (~((~p605(Y)) | (~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))))) | (~((~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | (~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))))) | (~((~p605(Y)) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))))) | (~((~p505(Y)) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))))) | (~((~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))))) | (~((~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))))) | (~((~p605(Y)) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~p505(Y)) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~p604(Y)) | (~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~p504(Y)) | (~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~p404(Y)) | (~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~p604(Y)) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~((~p504(Y)) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~((~p404(Y)) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~((~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y))))) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~((~p604(Y)) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))))))) | (~((~p504(Y)) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))))))) | (~((~p404(Y)) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))))))) | (~((~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y))))) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))))))) | (~((~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y))))) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))))))) | (~((~p603(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y))))))) | (~((~p503(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y))))))) | (~((~p403(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y))))))) | (~((~p303(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y))))))) | (~((~p603(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y))))))) | (~((~p503(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y))))))) | (~((~p403(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y))))))) | (~((~p303(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y))))))) | (~((~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y))))) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y))))))) | (~((~p602(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y))))))) | (~((~p502(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y))))))) | (~((~p402(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y))))))) | (~((~p302(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y))))))) | (~((~p202(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y))))))))))),
% 0.39/0.69 inference(modus_ponens,[status(thm)],[34, 20])).
% 0.39/0.69 tff(36,plain,
% 0.39/0.69 (![Y: $i] : ((~r1(X!0, Y)) | (~((~((~p101(Y)) | (~p201(Y)))) | (~((~p101(Y)) | (~p301(Y)))) | (~((~p101(Y)) | (~p401(Y)))) | (~((~p101(Y)) | (~p501(Y)))) | (~((~p101(Y)) | (~p601(Y)))) | (~((~p201(Y)) | (~p301(Y)))) | (~((~p201(Y)) | (~p401(Y)))) | (~((~p201(Y)) | (~p501(Y)))) | (~((~p201(Y)) | (~p601(Y)))) | (~((~p301(Y)) | (~p401(Y)))) | (~((~p301(Y)) | (~p501(Y)))) | (~((~p301(Y)) | (~p601(Y)))) | (~((~p401(Y)) | (~p501(Y)))) | (~((~p401(Y)) | (~p601(Y)))) | (~((~p501(Y)) | (~p601(Y)))) | (~((~p302(Y)) | (~p202(Y)))) | (~((~p402(Y)) | (~p202(Y)))) | (~((~p502(Y)) | (~p202(Y)))) | (~((~p602(Y)) | (~p202(Y)))) | (~((~p402(Y)) | (~p302(Y)))) | (~((~p502(Y)) | (~p302(Y)))) | (~((~p602(Y)) | (~p302(Y)))) | (~((~p502(Y)) | (~p402(Y)))) | (~((~p602(Y)) | (~p402(Y)))) | (~((~p602(Y)) | (~p502(Y)))) | (~((~p403(Y)) | (~p303(Y)))) | (~((~p503(Y)) | (~p303(Y)))) | (~((~p603(Y)) | (~p303(Y)))) | (~((~p503(Y)) | (~p403(Y)))) | (~((~p603(Y)) | (~p403(Y)))) | (~((~p603(Y)) | (~p503(Y)))) | (~((~p504(Y)) | (~p404(Y)))) | (~((~p604(Y)) | (~p404(Y)))) | (~((~p604(Y)) | (~p504(Y)))) | (~((~p605(Y)) | (~p505(Y)))) | (~((~p605(Y)) | (~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))) | (~((~p505(Y)) | (~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))) | (~((~p505(Y)) | (~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))))) | (~((~p605(Y)) | (~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))))) | (~((~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | (~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))))) | (~((~p605(Y)) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))))) | (~((~p505(Y)) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))))) | (~((~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))))) | (~((~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | (~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))))) | (~((~p605(Y)) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~p505(Y)) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~(p405(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~(p305(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~(p205(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | (~(p105(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) | (~((~p604(Y)) | (~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~p504(Y)) | (~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~p404(Y)) | (~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y))))))) | (~((~p604(Y)) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~((~p504(Y)) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~((~p404(Y)) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~((~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y))))) | (~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y))))))) | (~((~p604(Y)) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))))))) | (~((~p504(Y)) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))))))) | (~((~p404(Y)) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))))))) | (~((~(p304(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_5(Y))))) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))))))) | (~((~(p204(tptp_fun_X_6(Y)) | (~r1(Y, tptp_fun_X_6(Y))))) | (~(p104(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))))))) | (~((~p603(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y))))))) | (~((~p503(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y))))))) | (~((~p403(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y))))))) | (~((~p303(Y)) | (~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y))))))) | (~((~p603(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y))))))) | (~((~p503(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y))))))) | (~((~p403(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y))))))) | (~((~p303(Y)) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y))))))) | (~((~(p203(tptp_fun_X_8(Y)) | (~r1(Y, tptp_fun_X_8(Y))))) | (~(p103(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_9(Y))))))) | (~((~p602(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y))))))) | (~((~p502(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y))))))) | (~((~p402(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y))))))) | (~((~p302(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y))))))) | (~((~p202(Y)) | (~(p102(tptp_fun_X_10(Y)) | (~r1(Y, tptp_fun_X_10(Y))))))))))),
% 0.39/0.69 inference(modus_ponens,[status(thm)],[35, 18])).
% 0.39/0.69 tff(37,plain,
% 0.39/0.69 (((~![Y: $i] : ((~r1(X!0, Y)) | (~((~((~p101(Y)) | (~p201(Y)))) | (~((~p101(Y)) | (~p301(Y)))) | (~((~p101(Y)) | (~p401(Y)))) | (~((~p101(Y)) | (~p501(Y)))) | (~((~p101(Y)) | (~p601(Y)))) | (~((~p201(Y)) | (~p301(Y)))) | (~((~p201(Y)) | (~p401(Y)))) | (~((~p201(Y)) | (~p501(Y)))) | (~((~p201(Y)) | (~p601(Y)))) | (~((~p301(Y)) | (~p401(Y)))) | (~((~p301(Y)) | (~p501(Y)))) | (~((~p301(Y)) | (~p601(Y)))) | (~((~p401(Y)) | (~p501(Y)))) | (~((~p401(Y)) | (~p601(Y)))) | (~((~p501(Y)) | (~p601(Y)))) | (~((~p302(Y)) | (~p202(Y)))) | (~((~p402(Y)) | (~p202(Y)))) | (~((~p502(Y)) | (~p202(Y)))) | (~((~p602(Y)) | (~p202(Y)))) | (~((~p402(Y)) | (~p302(Y)))) | (~((~p502(Y)) | (~p302(Y)))) | (~((~p602(Y)) | (~p302(Y)))) | (~((~p502(Y)) | (~p402(Y)))) | (~((~p602(Y)) | (~p402(Y)))) | (~((~p602(Y)) | (~p502(Y)))) | (~((~p403(Y)) | (~p303(Y)))) | (~((~p503(Y)) | (~p303(Y)))) | (~((~p603(Y)) | (~p303(Y)))) | (~((~p503(Y)) | (~p403(Y)))) | (~((~p603(Y)) | (~p403(Y)))) | (~((~p603(Y)) | 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% 0.46/0.70 inference(rewrite,[status(thm)],[])).
% 0.46/0.70 tff(38,plain,
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% 0.46/0.71 inference(rewrite,[status(thm)],[])).
% 0.46/0.71 tff(39,plain,
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% 0.46/0.72 inference(monotonicity,[status(thm)],[38])).
% 0.46/0.72 tff(40,plain,
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% 0.46/0.73 inference(transitivity,[status(thm)],[39, 37])).
% 0.46/0.73 tff(41,plain,
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% 0.46/0.73 inference(quant_inst,[status(thm)],[])).
% 0.46/0.73 tff(42,plain,
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% 0.46/0.74 inference(modus_ponens,[status(thm)],[41, 40])).
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(~p603(X!0)))) | (~((~p404(X!0)) | (~p604(X!0)))) | (~((~p504(X!0)) | (~p604(X!0))))) | ((~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))) | (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))))),
% 0.46/0.75 inference(tautology,[status(thm)],[])).
% 0.46/0.75 tff(45,plain,
% 0.46/0.75 ((~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))) | (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0)))))),
% 0.46/0.75 inference(unit_resolution,[status(thm)],[44, 43])).
% 0.46/0.75 tff(46,plain,
% 0.46/0.75 ((~((~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))) | (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))))) | (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))) | (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0)))))),
% 0.46/0.75 inference(tautology,[status(thm)],[])).
% 0.46/0.75 tff(47,plain,
% 0.46/0.75 ((~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))) | (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0)))))),
% 0.46/0.75 inference(unit_resolution,[status(thm)],[46, 45])).
% 0.46/0.75 tff(48,plain,
% 0.46/0.75 (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))),
% 0.46/0.75 inference(unit_resolution,[status(thm)],[47, 5])).
% 0.46/0.75 tff(49,assumption,(~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))), introduced(assumption)).
% 0.46/0.75 tff(50,plain,
% 0.46/0.75 ((p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0)))) | r1(X!0, tptp_fun_X_8(X!0))),
% 0.46/0.75 inference(tautology,[status(thm)],[])).
% 0.46/0.75 tff(51,plain,
% 0.46/0.75 (r1(X!0, tptp_fun_X_8(X!0))),
% 0.46/0.75 inference(unit_resolution,[status(thm)],[50, 49])).
% 0.46/0.75 tff(52,plain,
% 0.46/0.75 ((p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0)))) | (~p203(tptp_fun_X_8(X!0)))),
% 0.46/0.75 inference(tautology,[status(thm)],[])).
% 0.46/0.75 tff(53,plain,
% 0.46/0.75 (~p203(tptp_fun_X_8(X!0))),
% 0.46/0.75 inference(unit_resolution,[status(thm)],[52, 49])).
% 0.46/0.75 tff(54,assumption,(![Y: $i] : (p203(Y) | (~r1(X!0, Y)))), introduced(assumption)).
% 0.46/0.75 tff(55,plain,
% 0.46/0.75 (((~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))) | (p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))) <=> ((~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))) | p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))),
% 0.46/0.75 inference(rewrite,[status(thm)],[])).
% 0.46/0.75 tff(56,plain,
% 0.46/0.75 ((~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))) | (p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))),
% 0.46/0.75 inference(quant_inst,[status(thm)],[])).
% 0.46/0.75 tff(57,plain,
% 0.46/0.75 ((~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))) | p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0)))),
% 0.46/0.75 inference(modus_ponens,[status(thm)],[56, 55])).
% 0.46/0.75 tff(58,plain,
% 0.46/0.75 ($false),
% 0.46/0.75 inference(unit_resolution,[status(thm)],[57, 54, 53, 51])).
% 0.46/0.75 tff(59,plain,((p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0)))) | (~![Y: $i] : (p203(Y) | (~r1(X!0, Y))))), inference(lemma,lemma(discharge,[]))).
% 0.46/0.75 tff(60,plain,
% 0.46/0.75 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.46/0.75 inference(unit_resolution,[status(thm)],[59, 48])).
% 0.46/0.75 tff(61,assumption,(~p601(X!0)), introduced(assumption)).
% 0.46/0.75 tff(62,assumption,(~p502(X!0)), introduced(assumption)).
% 0.46/0.75 tff(63,assumption,(p301(X!0)), introduced(assumption)).
% 0.46/0.75 tff(64,plain,
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% 0.46/0.77 inference(tautology,[status(thm)],[])).
% 0.46/0.77 tff(76,plain,
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% 0.46/0.77 tff(77,plain,
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% 0.46/0.77 inference(tautology,[status(thm)],[])).
% 0.46/0.77 tff(78,plain,
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% 0.46/0.77 tff(79,plain,
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% 0.46/0.77 inference(unit_resolution,[status(thm)],[78, 69])).
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% 0.46/0.77 inference(tautology,[status(thm)],[])).
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% 0.46/0.77 inference(tautology,[status(thm)],[])).
% 0.46/0.77 tff(83,plain,
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% 0.46/0.77 tff(84,plain,
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% 0.46/0.77 inference(unit_resolution,[status(thm)],[83, 69])).
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% 0.46/0.77 inference(tautology,[status(thm)],[])).
% 0.46/0.77 tff(86,plain,
% 0.46/0.77 ((~p201(X!0)) | (~p401(X!0))),
% 0.46/0.77 inference(unit_resolution,[status(thm)],[85, 43])).
% 0.46/0.77 tff(87,plain,
% 0.46/0.77 ((~((~p201(X!0)) | (~p401(X!0)))) | (~p201(X!0)) | (~p401(X!0))),
% 0.46/0.77 inference(tautology,[status(thm)],[])).
% 0.46/0.77 tff(88,plain,
% 0.46/0.77 ((~p201(X!0)) | (~p401(X!0))),
% 0.46/0.77 inference(unit_resolution,[status(thm)],[87, 86])).
% 0.46/0.77 tff(89,plain,
% 0.46/0.77 (~p201(X!0)),
% 0.46/0.77 inference(unit_resolution,[status(thm)],[88, 69])).
% 0.46/0.77 tff(90,assumption,(~p501(X!0)), introduced(assumption)).
% 0.46/0.77 tff(91,assumption,(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0)))), introduced(assumption)).
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% 0.46/0.78 inference(tautology,[status(thm)],[])).
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% 0.46/0.78 inference(tautology,[status(thm)],[])).
% 0.46/0.78 tff(95,plain,
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% 0.46/0.78 inference(unit_resolution,[status(thm)],[94, 93])).
% 0.46/0.78 tff(96,plain,
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% 0.46/0.78 tff(97,assumption,(~p201(X!0)), introduced(assumption)).
% 0.46/0.78 tff(98,plain,
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(~p603(X!0)))) | (~((~p404(X!0)) | (~p604(X!0)))) | (~((~p504(X!0)) | (~p604(X!0))))) | ((~p505(X!0)) | (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))))),
% 0.46/0.78 inference(tautology,[status(thm)],[])).
% 0.46/0.78 tff(99,plain,
% 0.46/0.78 ((~p505(X!0)) | (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0)))))),
% 0.46/0.78 inference(unit_resolution,[status(thm)],[98, 43])).
% 0.46/0.78 tff(100,plain,
% 0.46/0.78 ((~((~p505(X!0)) | (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))))) | (~p505(X!0)) | (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0)))))),
% 0.46/0.78 inference(tautology,[status(thm)],[])).
% 0.46/0.78 tff(101,plain,
% 0.46/0.78 ((~p505(X!0)) | (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0)))))),
% 0.46/0.78 inference(unit_resolution,[status(thm)],[100, 99])).
% 0.46/0.78 tff(102,plain,
% 0.46/0.78 (~p505(X!0)),
% 0.46/0.78 inference(unit_resolution,[status(thm)],[101, 91])).
% 0.46/0.78 tff(103,plain,
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% 0.46/0.79 inference(tautology,[status(thm)],[])).
% 0.46/0.79 tff(104,plain,
% 0.46/0.79 ((~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))) | (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0)))))),
% 0.46/0.79 inference(unit_resolution,[status(thm)],[103, 43])).
% 0.46/0.79 tff(105,plain,
% 0.46/0.79 ((~((~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))) | (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))))) | (~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))) | (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0)))))),
% 0.46/0.79 inference(tautology,[status(thm)],[])).
% 0.46/0.79 tff(106,plain,
% 0.46/0.79 ((~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))) | (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0)))))),
% 0.46/0.79 inference(unit_resolution,[status(thm)],[105, 104])).
% 0.46/0.79 tff(107,plain,
% 0.46/0.79 (~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))),
% 0.46/0.79 inference(unit_resolution,[status(thm)],[106, 91])).
% 0.46/0.79 tff(108,assumption,(![Y: $i] : (p305(Y) | (~r1(X!0, Y)))), introduced(assumption)).
% 0.46/0.79 tff(109,assumption,(~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))), introduced(assumption)).
% 0.46/0.79 tff(110,plain,
% 0.46/0.79 ((p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0)))) | (~p305(tptp_fun_X_2(X!0)))),
% 0.46/0.79 inference(tautology,[status(thm)],[])).
% 0.46/0.79 tff(111,plain,
% 0.46/0.79 (~p305(tptp_fun_X_2(X!0))),
% 0.46/0.79 inference(unit_resolution,[status(thm)],[110, 109])).
% 0.46/0.79 tff(112,plain,
% 0.46/0.79 ((p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0)))) | r1(X!0, tptp_fun_X_2(X!0))),
% 0.46/0.79 inference(tautology,[status(thm)],[])).
% 0.46/0.79 tff(113,plain,
% 0.46/0.79 (r1(X!0, tptp_fun_X_2(X!0))),
% 0.46/0.79 inference(unit_resolution,[status(thm)],[112, 109])).
% 0.46/0.79 tff(114,assumption,(r1(X!0, tptp_fun_X_2(X!0))), introduced(assumption)).
% 0.46/0.79 tff(115,assumption,(~p305(tptp_fun_X_2(X!0))), introduced(assumption)).
% 0.46/0.79 tff(116,plain,
% 0.46/0.79 (((~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))) | (p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))) <=> ((~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))) | p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))),
% 0.46/0.79 inference(rewrite,[status(thm)],[])).
% 0.46/0.79 tff(117,plain,
% 0.46/0.79 ((~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))) | (p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))),
% 0.46/0.79 inference(quant_inst,[status(thm)],[])).
% 0.46/0.79 tff(118,plain,
% 0.46/0.79 ((~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))) | p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0)))),
% 0.46/0.79 inference(modus_ponens,[status(thm)],[117, 116])).
% 0.46/0.79 tff(119,plain,
% 0.46/0.79 ($false),
% 0.46/0.79 inference(unit_resolution,[status(thm)],[118, 108, 115, 114])).
% 0.46/0.79 tff(120,plain,((~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))) | p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0)))), inference(lemma,lemma(discharge,[]))).
% 0.46/0.79 tff(121,plain,
% 0.46/0.79 ($false),
% 0.46/0.79 inference(unit_resolution,[status(thm)],[120, 113, 111, 108])).
% 0.46/0.79 tff(122,plain,((p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0)))) | (~![Y: $i] : (p305(Y) | (~r1(X!0, Y))))), inference(lemma,lemma(discharge,[]))).
% 0.46/0.79 tff(123,plain,
% 0.46/0.79 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.46/0.79 inference(unit_resolution,[status(thm)],[122, 107])).
% 0.46/0.79 tff(124,assumption,(~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))), introduced(assumption)).
% 0.46/0.79 tff(125,assumption,(~p302(X!0)), introduced(assumption)).
% 0.46/0.79 tff(126,assumption,(~p605(X!0)), introduced(assumption)).
% 0.46/0.79 tff(127,assumption,(~p505(X!0)), introduced(assumption)).
% 0.46/0.79 tff(128,assumption,(p604(X!0)), introduced(assumption)).
% 0.46/0.79 tff(129,plain,
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(~p603(X!0)))) | (~((~p404(X!0)) | (~p604(X!0)))) | (~((~p504(X!0)) | (~p604(X!0))))) | ((~p504(X!0)) | (~p604(X!0)))),
% 0.46/0.79 inference(tautology,[status(thm)],[])).
% 0.46/0.79 tff(130,plain,
% 0.46/0.79 ((~p504(X!0)) | (~p604(X!0))),
% 0.46/0.79 inference(unit_resolution,[status(thm)],[129, 43])).
% 0.46/0.79 tff(131,plain,
% 0.46/0.79 ((~((~p504(X!0)) | (~p604(X!0)))) | (~p504(X!0)) | (~p604(X!0))),
% 0.46/0.79 inference(tautology,[status(thm)],[])).
% 0.46/0.79 tff(132,plain,
% 0.46/0.79 ((~p504(X!0)) | (~p604(X!0))),
% 0.46/0.79 inference(unit_resolution,[status(thm)],[131, 130])).
% 0.46/0.79 tff(133,plain,
% 0.46/0.79 (~p504(X!0)),
% 0.46/0.79 inference(unit_resolution,[status(thm)],[132, 128])).
% 0.46/0.79 tff(134,plain,
% 0.46/0.79 (p501(X!0) | p502(X!0) | p503(X!0) | p504(X!0) | p505(X!0)),
% 0.46/0.79 inference(and_elim,[status(thm)],[33])).
% 0.46/0.79 tff(135,plain,
% 0.46/0.79 (p503(X!0)),
% 0.46/0.79 inference(unit_resolution,[status(thm)],[134, 133, 90, 62, 127])).
% 0.46/0.79 tff(136,plain,
% 0.46/0.79 (((~((~p201(X!0)) | (~p301(X!0)))) | (~((~p201(X!0)) | (~p601(X!0)))) | (~((~p301(X!0)) | (~p401(X!0)))) | (~((~p301(X!0)) | (~p501(X!0)))) | (~((~p301(X!0)) | (~p601(X!0)))) | (~((~p401(X!0)) | (~p501(X!0)))) | (~((~p401(X!0)) | (~p601(X!0)))) | (~((~p501(X!0)) | (~p601(X!0)))) | (~((~p302(X!0)) | (~p202(X!0)))) | (~((~p101(X!0)) | (~p401(X!0)))) | (~((~p101(X!0)) | (~p501(X!0)))) | (~((~p101(X!0)) | (~p301(X!0)))) | (~((~p101(X!0)) | (~p601(X!0)))) | (~((~p201(X!0)) | (~p401(X!0)))) | (~((~p403(X!0)) | (~p303(X!0)))) | (~((~p201(X!0)) | (~p501(X!0)))) | (~((~p101(X!0)) | (~p201(X!0)))) | (~((~p504(X!0)) | (~p404(X!0)))) | (~((~p605(X!0)) | (~p505(X!0)))) | (~((~p605(X!0)) | (~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))))) | (~((~p505(X!0)) | (~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))))) | (~((~p505(X!0)) | (~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))))) | (~((~p605(X!0)) | (~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, 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% 0.56/0.80 inference(tautology,[status(thm)],[])).
% 0.56/0.80 tff(137,plain,
% 0.56/0.80 ((~p604(X!0)) | (~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0)))))),
% 0.56/0.80 inference(unit_resolution,[status(thm)],[136, 43])).
% 0.56/0.80 tff(138,plain,
% 0.56/0.80 ((~((~p604(X!0)) | (~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))))) | (~p604(X!0)) | (~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0)))))),
% 0.56/0.80 inference(tautology,[status(thm)],[])).
% 0.56/0.80 tff(139,plain,
% 0.56/0.80 ((~p604(X!0)) | (~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0)))))),
% 0.56/0.80 inference(unit_resolution,[status(thm)],[138, 137])).
% 0.56/0.80 tff(140,plain,
% 0.56/0.80 (~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))),
% 0.56/0.80 inference(unit_resolution,[status(thm)],[139, 128])).
% 0.56/0.80 tff(141,assumption,(~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))), introduced(assumption)).
% 0.56/0.80 tff(142,plain,
% 0.56/0.80 ((p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0)))) | r1(X!0, tptp_fun_X_5(X!0))),
% 0.56/0.80 inference(tautology,[status(thm)],[])).
% 0.56/0.80 tff(143,plain,
% 0.56/0.80 (r1(X!0, tptp_fun_X_5(X!0))),
% 0.56/0.80 inference(unit_resolution,[status(thm)],[142, 141])).
% 0.56/0.80 tff(144,plain,
% 0.56/0.80 ((p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0)))) | (~p304(tptp_fun_X_5(X!0)))),
% 0.56/0.80 inference(tautology,[status(thm)],[])).
% 0.56/0.80 tff(145,plain,
% 0.56/0.80 (~p304(tptp_fun_X_5(X!0))),
% 0.56/0.80 inference(unit_resolution,[status(thm)],[144, 141])).
% 0.56/0.80 tff(146,assumption,(![Y: $i] : (p304(Y) | (~r1(X!0, Y)))), introduced(assumption)).
% 0.56/0.80 tff(147,plain,
% 0.56/0.80 (((~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))) | (p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))) <=> ((~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))) | p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))),
% 0.56/0.80 inference(rewrite,[status(thm)],[])).
% 0.56/0.80 tff(148,plain,
% 0.56/0.80 ((~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))) | (p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))),
% 0.56/0.80 inference(quant_inst,[status(thm)],[])).
% 0.56/0.80 tff(149,plain,
% 0.56/0.80 ((~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))) | p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0)))),
% 0.56/0.80 inference(modus_ponens,[status(thm)],[148, 147])).
% 0.56/0.80 tff(150,plain,
% 0.56/0.80 ($false),
% 0.56/0.80 inference(unit_resolution,[status(thm)],[149, 146, 145, 143])).
% 0.56/0.80 tff(151,plain,((p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0)))) | (~![Y: $i] : (p304(Y) | (~r1(X!0, Y))))), inference(lemma,lemma(discharge,[]))).
% 0.56/0.80 tff(152,plain,
% 0.56/0.80 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.56/0.80 inference(unit_resolution,[status(thm)],[151, 140])).
% 0.56/0.80 tff(153,plain,
% 0.56/0.80 ((p302(X!0) | p301(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p303(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y)))) <=> (p302(X!0) | p301(X!0) | p303(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))))),
% 0.56/0.80 inference(rewrite,[status(thm)],[])).
% 0.56/0.80 tff(154,plain,
% 0.56/0.80 ((p302(X!0) | p301(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p303(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y)))) <=> (p302(X!0) | p301(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p303(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))))),
% 0.56/0.80 inference(rewrite,[status(thm)],[])).
% 0.56/0.80 tff(155,plain,
% 0.56/0.80 (p302(X!0) | p301(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p303(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.56/0.80 inference(and_elim,[status(thm)],[33])).
% 0.56/0.80 tff(156,plain,
% 0.56/0.80 (p302(X!0) | p301(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p303(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.56/0.80 inference(modus_ponens,[status(thm)],[155, 154])).
% 0.56/0.80 tff(157,plain,
% 0.56/0.80 (p302(X!0) | p301(X!0) | p303(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.56/0.80 inference(modus_ponens,[status(thm)],[156, 153])).
% 0.56/0.80 tff(158,plain,
% 0.56/0.80 (p303(X!0)),
% 0.56/0.80 inference(unit_resolution,[status(thm)],[157, 152, 125, 1, 124])).
% 0.56/0.80 tff(159,plain,
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% 0.56/0.80 inference(tautology,[status(thm)],[])).
% 0.56/0.80 tff(160,plain,
% 0.56/0.80 ((~p303(X!0)) | (~p503(X!0))),
% 0.56/0.80 inference(unit_resolution,[status(thm)],[159, 43])).
% 0.56/0.80 tff(161,plain,
% 0.56/0.80 ((~((~p303(X!0)) | (~p503(X!0)))) | (~p303(X!0)) | (~p503(X!0))),
% 0.56/0.80 inference(tautology,[status(thm)],[])).
% 0.56/0.80 tff(162,plain,
% 0.56/0.80 ((~p303(X!0)) | (~p503(X!0))),
% 0.56/0.80 inference(unit_resolution,[status(thm)],[161, 160])).
% 0.56/0.80 tff(163,plain,
% 0.56/0.80 ($false),
% 0.56/0.80 inference(unit_resolution,[status(thm)],[162, 158, 135])).
% 0.56/0.80 tff(164,plain,((~p604(X!0)) | p302(X!0) | p301(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p501(X!0) | p502(X!0) | p505(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.56/0.80 tff(165,plain,
% 0.56/0.80 (~p604(X!0)),
% 0.56/0.80 inference(unit_resolution,[status(thm)],[164, 125, 1, 124, 90, 62, 127])).
% 0.56/0.80 tff(166,assumption,(p603(X!0)), introduced(assumption)).
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% 0.56/0.81 inference(tautology,[status(thm)],[])).
% 0.56/0.81 tff(168,plain,
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% 0.56/0.81 inference(unit_resolution,[status(thm)],[167, 43])).
% 0.56/0.81 tff(169,plain,
% 0.56/0.81 ((~((~p303(X!0)) | (~p603(X!0)))) | (~p303(X!0)) | (~p603(X!0))),
% 0.56/0.81 inference(tautology,[status(thm)],[])).
% 0.56/0.81 tff(170,plain,
% 0.56/0.81 ((~p303(X!0)) | (~p603(X!0))),
% 0.56/0.81 inference(unit_resolution,[status(thm)],[169, 168])).
% 0.56/0.81 tff(171,plain,
% 0.56/0.81 (~p303(X!0)),
% 0.56/0.81 inference(unit_resolution,[status(thm)],[170, 166])).
% 0.56/0.81 tff(172,plain,
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% 0.56/0.81 inference(unit_resolution,[status(thm)],[157, 171, 125, 1, 124])).
% 0.56/0.81 tff(173,assumption,(~p504(X!0)), introduced(assumption)).
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% 0.56/0.81 inference(tautology,[status(thm)],[])).
% 0.56/0.81 tff(175,plain,
% 0.56/0.81 ((~p503(X!0)) | (~p603(X!0))),
% 0.56/0.81 inference(unit_resolution,[status(thm)],[174, 43])).
% 0.56/0.81 tff(176,plain,
% 0.56/0.81 ((~((~p503(X!0)) | (~p603(X!0)))) | (~p503(X!0)) | (~p603(X!0))),
% 0.56/0.81 inference(tautology,[status(thm)],[])).
% 0.56/0.81 tff(177,plain,
% 0.56/0.81 ((~p503(X!0)) | (~p603(X!0))),
% 0.56/0.81 inference(unit_resolution,[status(thm)],[176, 175])).
% 0.56/0.81 tff(178,plain,
% 0.56/0.81 (~p503(X!0)),
% 0.56/0.81 inference(unit_resolution,[status(thm)],[177, 166])).
% 0.56/0.81 tff(179,plain,
% 0.56/0.81 (p505(X!0)),
% 0.56/0.81 inference(unit_resolution,[status(thm)],[134, 178, 90, 62, 173])).
% 0.56/0.81 tff(180,plain,
% 0.56/0.81 (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))),
% 0.56/0.81 inference(unit_resolution,[status(thm)],[101, 179])).
% 0.56/0.81 tff(181,plain,
% 0.56/0.81 ((p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0)))) | r1(X!0, tptp_fun_X_4(X!0))),
% 0.56/0.81 inference(tautology,[status(thm)],[])).
% 0.56/0.81 tff(182,plain,
% 0.56/0.81 (r1(X!0, tptp_fun_X_4(X!0))),
% 0.56/0.81 inference(unit_resolution,[status(thm)],[181, 180])).
% 0.56/0.81 tff(183,plain,
% 0.56/0.81 ((p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0)))) | (~p105(tptp_fun_X_4(X!0)))),
% 0.56/0.81 inference(tautology,[status(thm)],[])).
% 0.56/0.81 tff(184,plain,
% 0.56/0.81 (~p105(tptp_fun_X_4(X!0))),
% 0.56/0.81 inference(unit_resolution,[status(thm)],[183, 180])).
% 0.56/0.81 tff(185,plain,
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% 0.56/0.82 inference(tautology,[status(thm)],[])).
% 0.56/0.82 tff(186,plain,
% 0.56/0.82 ((~p603(X!0)) | (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0)))))),
% 0.56/0.82 inference(unit_resolution,[status(thm)],[185, 43])).
% 0.56/0.82 tff(187,plain,
% 0.56/0.82 ((~((~p603(X!0)) | (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))))) | (~p603(X!0)) | (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0)))))),
% 0.56/0.82 inference(tautology,[status(thm)],[])).
% 0.56/0.82 tff(188,plain,
% 0.56/0.82 ((~p603(X!0)) | (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0)))))),
% 0.56/0.82 inference(unit_resolution,[status(thm)],[187, 186])).
% 0.56/0.82 tff(189,plain,
% 0.56/0.82 (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))),
% 0.56/0.82 inference(unit_resolution,[status(thm)],[188, 166])).
% 0.56/0.82 tff(190,plain,
% 0.56/0.82 ((p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0)))) | r1(X!0, tptp_fun_X_9(X!0))),
% 0.56/0.82 inference(tautology,[status(thm)],[])).
% 0.56/0.82 tff(191,plain,
% 0.56/0.82 (r1(X!0, tptp_fun_X_9(X!0))),
% 0.56/0.82 inference(unit_resolution,[status(thm)],[190, 189])).
% 0.56/0.82 tff(192,plain,
% 0.56/0.82 ((p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0)))) | (~p103(tptp_fun_X_9(X!0)))),
% 0.56/0.82 inference(tautology,[status(thm)],[])).
% 0.56/0.82 tff(193,plain,
% 0.56/0.82 (~p103(tptp_fun_X_9(X!0))),
% 0.56/0.82 inference(unit_resolution,[status(thm)],[192, 189])).
% 0.56/0.82 tff(194,assumption,(r1(X!0, tptp_fun_X_9(X!0))), introduced(assumption)).
% 0.56/0.82 tff(195,assumption,(~p103(tptp_fun_X_9(X!0))), introduced(assumption)).
% 0.56/0.82 tff(196,assumption,(![Y: $i] : (p103(Y) | (~r1(X!0, Y)))), introduced(assumption)).
% 0.56/0.82 tff(197,plain,
% 0.56/0.82 (((~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))) | (p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))) <=> ((~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))) | p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))),
% 0.56/0.82 inference(rewrite,[status(thm)],[])).
% 0.56/0.82 tff(198,plain,
% 0.56/0.82 ((~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))) | (p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))),
% 0.56/0.82 inference(quant_inst,[status(thm)],[])).
% 0.56/0.82 tff(199,plain,
% 0.56/0.82 ((~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))) | p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0)))),
% 0.56/0.82 inference(modus_ponens,[status(thm)],[198, 197])).
% 0.56/0.82 tff(200,plain,
% 0.56/0.82 ($false),
% 0.56/0.82 inference(unit_resolution,[status(thm)],[199, 196, 195, 194])).
% 0.56/0.82 tff(201,plain,((~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))) | p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0)))), inference(lemma,lemma(discharge,[]))).
% 0.56/0.82 tff(202,plain,
% 0.56/0.82 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.56/0.82 inference(unit_resolution,[status(thm)],[201, 193, 191])).
% 0.56/0.82 tff(203,assumption,(p101(X!0)), introduced(assumption)).
% 0.56/0.82 tff(204,plain,
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% 0.56/0.82 inference(tautology,[status(thm)],[])).
% 0.56/0.82 tff(205,plain,
% 0.56/0.82 ((~p101(X!0)) | (~p401(X!0))),
% 0.56/0.82 inference(unit_resolution,[status(thm)],[204, 43])).
% 0.56/0.83 tff(206,plain,
% 0.56/0.83 ((~((~p101(X!0)) | (~p401(X!0)))) | (~p101(X!0)) | (~p401(X!0))),
% 0.56/0.83 inference(tautology,[status(thm)],[])).
% 0.56/0.83 tff(207,plain,
% 0.56/0.83 ((~p101(X!0)) | (~p401(X!0))),
% 0.56/0.83 inference(unit_resolution,[status(thm)],[206, 205])).
% 0.56/0.83 tff(208,plain,
% 0.56/0.83 (~p401(X!0)),
% 0.56/0.83 inference(unit_resolution,[status(thm)],[207, 203])).
% 0.56/0.83 tff(209,plain,
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% 0.56/0.84 inference(tautology,[status(thm)],[])).
% 0.56/0.84 tff(220,plain,
% 0.56/0.84 ((~p101(X!0)) | (~p601(X!0))),
% 0.56/0.84 inference(unit_resolution,[status(thm)],[219, 43])).
% 0.56/0.84 tff(221,plain,
% 0.56/0.84 ((~((~p101(X!0)) | (~p601(X!0)))) | (~p101(X!0)) | (~p601(X!0))),
% 0.56/0.84 inference(tautology,[status(thm)],[])).
% 0.56/0.84 tff(222,plain,
% 0.56/0.84 ((~p101(X!0)) | (~p601(X!0))),
% 0.56/0.84 inference(unit_resolution,[status(thm)],[221, 220])).
% 0.56/0.84 tff(223,plain,
% 0.56/0.84 (~p601(X!0)),
% 0.56/0.84 inference(unit_resolution,[status(thm)],[222, 203])).
% 0.56/0.84 tff(224,plain,
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% 0.56/0.84 inference(tautology,[status(thm)],[])).
% 0.56/0.84 tff(225,plain,
% 0.56/0.84 ((~p101(X!0)) | (~p201(X!0))),
% 0.56/0.84 inference(unit_resolution,[status(thm)],[224, 43])).
% 0.56/0.84 tff(226,plain,
% 0.56/0.84 ((~((~p101(X!0)) | (~p201(X!0)))) | (~p101(X!0)) | (~p201(X!0))),
% 0.56/0.84 inference(tautology,[status(thm)],[])).
% 0.56/0.84 tff(227,plain,
% 0.56/0.84 ((~p101(X!0)) | (~p201(X!0))),
% 0.56/0.84 inference(unit_resolution,[status(thm)],[226, 225])).
% 0.56/0.84 tff(228,plain,
% 0.56/0.84 (~p201(X!0)),
% 0.56/0.84 inference(unit_resolution,[status(thm)],[227, 203])).
% 0.56/0.84 tff(229,assumption,(~p401(X!0)), introduced(assumption)).
% 0.56/0.84 tff(230,assumption,(~p404(X!0)), introduced(assumption)).
% 0.56/0.84 tff(231,plain,
% 0.56/0.84 (((~((~p201(X!0)) | (~p301(X!0)))) | (~((~p201(X!0)) | (~p601(X!0)))) | (~((~p301(X!0)) | (~p401(X!0)))) | (~((~p301(X!0)) | (~p501(X!0)))) | (~((~p301(X!0)) | (~p601(X!0)))) | (~((~p401(X!0)) | (~p501(X!0)))) | (~((~p401(X!0)) | (~p601(X!0)))) | (~((~p501(X!0)) | (~p601(X!0)))) | (~((~p302(X!0)) | (~p202(X!0)))) | (~((~p101(X!0)) | (~p401(X!0)))) | (~((~p101(X!0)) | (~p501(X!0)))) | (~((~p101(X!0)) | (~p301(X!0)))) | (~((~p101(X!0)) | (~p601(X!0)))) | (~((~p201(X!0)) | (~p401(X!0)))) | (~((~p403(X!0)) | (~p303(X!0)))) | (~((~p201(X!0)) | (~p501(X!0)))) | (~((~p101(X!0)) | (~p201(X!0)))) | (~((~p504(X!0)) | (~p404(X!0)))) | (~((~p605(X!0)) | (~p505(X!0)))) | (~((~p605(X!0)) | (~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))))) | (~((~p505(X!0)) | (~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))))) | (~((~p505(X!0)) | (~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))))) | (~((~p605(X!0)) | (~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))))) | (~((~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))) | (~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))))) | (~((~p605(X!0)) | (~(p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0))))))) | (~((~p505(X!0)) | (~(p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0))))))) | (~((~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))) | (~(p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0))))))) | (~((~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))) | (~(p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0))))))) | (~((~p605(X!0)) | (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))))) | (~((~p505(X!0)) | (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))))) | (~((~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))) | (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))))) | (~((~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))) | (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, 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(~p603(X!0)))) | (~((~p404(X!0)) | (~p604(X!0)))) | (~((~p504(X!0)) | (~p604(X!0))))) | ((~p604(X!0)) | (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))))),
% 0.56/0.85 inference(tautology,[status(thm)],[])).
% 0.56/0.85 tff(232,plain,
% 0.56/0.85 ((~p604(X!0)) | (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0)))))),
% 0.56/0.85 inference(unit_resolution,[status(thm)],[231, 43])).
% 0.56/0.85 tff(233,plain,
% 0.56/0.85 ((~((~p604(X!0)) | (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))))) | (~p604(X!0)) | (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0)))))),
% 0.56/0.85 inference(tautology,[status(thm)],[])).
% 0.56/0.85 tff(234,plain,
% 0.56/0.85 ((~p604(X!0)) | (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0)))))),
% 0.56/0.85 inference(unit_resolution,[status(thm)],[233, 232])).
% 0.56/0.85 tff(235,plain,
% 0.56/0.85 (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))),
% 0.56/0.85 inference(unit_resolution,[status(thm)],[234, 128])).
% 0.56/0.85 tff(236,assumption,(![Y: $i] : (p204(Y) | (~r1(X!0, Y)))), introduced(assumption)).
% 0.56/0.85 tff(237,assumption,(~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))), introduced(assumption)).
% 0.56/0.85 tff(238,plain,
% 0.56/0.85 ((p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0)))) | (~p204(tptp_fun_X_6(X!0)))),
% 0.56/0.85 inference(tautology,[status(thm)],[])).
% 0.56/0.85 tff(239,plain,
% 0.56/0.85 (~p204(tptp_fun_X_6(X!0))),
% 0.56/0.85 inference(unit_resolution,[status(thm)],[238, 237])).
% 0.56/0.85 tff(240,plain,
% 0.56/0.85 ((p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0)))) | r1(X!0, tptp_fun_X_6(X!0))),
% 0.56/0.85 inference(tautology,[status(thm)],[])).
% 0.56/0.85 tff(241,plain,
% 0.56/0.85 (r1(X!0, tptp_fun_X_6(X!0))),
% 0.56/0.85 inference(unit_resolution,[status(thm)],[240, 237])).
% 0.56/0.85 tff(242,assumption,(r1(X!0, tptp_fun_X_6(X!0))), introduced(assumption)).
% 0.56/0.85 tff(243,assumption,(~p204(tptp_fun_X_6(X!0))), introduced(assumption)).
% 0.56/0.85 tff(244,plain,
% 0.56/0.85 (((~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))) | (p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))) <=> ((~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))) | p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))),
% 0.56/0.85 inference(rewrite,[status(thm)],[])).
% 0.56/0.85 tff(245,plain,
% 0.56/0.85 ((~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))) | (p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))),
% 0.56/0.85 inference(quant_inst,[status(thm)],[])).
% 0.56/0.85 tff(246,plain,
% 0.56/0.85 ((~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))) | p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0)))),
% 0.56/0.85 inference(modus_ponens,[status(thm)],[245, 244])).
% 0.56/0.85 tff(247,plain,
% 0.56/0.85 ($false),
% 0.56/0.85 inference(unit_resolution,[status(thm)],[246, 236, 243, 242])).
% 0.56/0.85 tff(248,plain,((~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))) | p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0)))), inference(lemma,lemma(discharge,[]))).
% 0.56/0.85 tff(249,plain,
% 0.56/0.85 ($false),
% 0.56/0.85 inference(unit_resolution,[status(thm)],[248, 241, 239, 236])).
% 0.56/0.85 tff(250,plain,((p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0)))) | (~![Y: $i] : (p204(Y) | (~r1(X!0, Y))))), inference(lemma,lemma(discharge,[]))).
% 0.56/0.85 tff(251,plain,
% 0.56/0.85 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.56/0.85 inference(unit_resolution,[status(thm)],[250, 235])).
% 0.56/0.85 tff(252,assumption,(~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))), introduced(assumption)).
% 0.56/0.85 tff(253,assumption,(~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))), introduced(assumption)).
% 0.56/0.85 tff(254,assumption,(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0)))), introduced(assumption)).
% 0.56/0.85 tff(255,plain,
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% 0.56/0.85 inference(tautology,[status(thm)],[])).
% 0.56/0.85 tff(256,plain,
% 0.56/0.85 ((~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))) | (~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0)))))),
% 0.56/0.85 inference(unit_resolution,[status(thm)],[255, 43])).
% 0.56/0.85 tff(257,plain,
% 0.56/0.85 ((~((~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))) | (~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))))) | (~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))) | (~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0)))))),
% 0.56/0.85 inference(tautology,[status(thm)],[])).
% 0.56/0.85 tff(258,plain,
% 0.56/0.85 ((~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))) | (~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0)))))),
% 0.56/0.86 inference(unit_resolution,[status(thm)],[257, 256])).
% 0.56/0.86 tff(259,plain,
% 0.56/0.86 (~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))),
% 0.56/0.86 inference(unit_resolution,[status(thm)],[258, 254])).
% 0.56/0.86 tff(260,plain,
% 0.56/0.86 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.56/0.86 inference(unit_resolution,[status(thm)],[122, 259])).
% 0.56/0.86 tff(261,plain,
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% 0.56/0.86 inference(tautology,[status(thm)],[])).
% 0.56/0.86 tff(262,plain,
% 0.56/0.86 ((~p505(X!0)) | (~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0)))))),
% 0.56/0.86 inference(unit_resolution,[status(thm)],[261, 43])).
% 0.56/0.86 tff(263,plain,
% 0.56/0.86 ((~((~p505(X!0)) | (~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))))) | (~p505(X!0)) | (~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0)))))),
% 0.56/0.86 inference(tautology,[status(thm)],[])).
% 0.56/0.86 tff(264,plain,
% 0.56/0.86 ((~p505(X!0)) | (~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0)))))),
% 0.56/0.86 inference(unit_resolution,[status(thm)],[263, 262])).
% 0.56/0.86 tff(265,plain,
% 0.56/0.86 (~p505(X!0)),
% 0.56/0.86 inference(unit_resolution,[status(thm)],[264, 254])).
% 0.56/0.86 tff(266,plain,
% 0.56/0.86 (p503(X!0)),
% 0.56/0.86 inference(unit_resolution,[status(thm)],[134, 265, 90, 62, 173])).
% 0.56/0.86 tff(267,plain,
% 0.56/0.86 (~p303(X!0)),
% 0.56/0.86 inference(unit_resolution,[status(thm)],[162, 266])).
% 0.56/0.86 tff(268,plain,
% 0.56/0.86 ($false),
% 0.56/0.86 inference(unit_resolution,[status(thm)],[157, 267, 260, 1, 253, 125])).
% 0.56/0.86 tff(269,plain,((~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))) | p301(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | p302(X!0) | p501(X!0) | p502(X!0) | p504(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.56/0.86 tff(270,plain,
% 0.56/0.86 (~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))),
% 0.56/0.86 inference(unit_resolution,[status(thm)],[269, 62, 253, 125, 90, 1, 173])).
% 0.56/0.86 tff(271,assumption,(~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))), introduced(assumption)).
% 0.56/0.86 tff(272,plain,
% 0.56/0.86 ((p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0)))) | r1(X!0, tptp_fun_X_1(X!0))),
% 0.56/0.86 inference(tautology,[status(thm)],[])).
% 0.56/0.86 tff(273,plain,
% 0.56/0.86 (r1(X!0, tptp_fun_X_1(X!0))),
% 0.56/0.86 inference(unit_resolution,[status(thm)],[272, 271])).
% 0.56/0.86 tff(274,plain,
% 0.56/0.86 ((p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0)))) | (~p405(tptp_fun_X_1(X!0)))),
% 0.56/0.86 inference(tautology,[status(thm)],[])).
% 0.56/0.86 tff(275,plain,
% 0.56/0.86 (~p405(tptp_fun_X_1(X!0))),
% 0.56/0.86 inference(unit_resolution,[status(thm)],[274, 271])).
% 0.56/0.86 tff(276,assumption,(![Y: $i] : (p405(Y) | (~r1(X!0, Y)))), introduced(assumption)).
% 0.56/0.86 tff(277,plain,
% 0.56/0.86 (((~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))) | (p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))) <=> ((~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))) | p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))),
% 0.56/0.86 inference(rewrite,[status(thm)],[])).
% 0.56/0.86 tff(278,plain,
% 0.56/0.86 ((~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))) | (p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))),
% 0.56/0.86 inference(quant_inst,[status(thm)],[])).
% 0.56/0.86 tff(279,plain,
% 0.56/0.86 ((~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))) | p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0)))),
% 0.56/0.86 inference(modus_ponens,[status(thm)],[278, 277])).
% 0.56/0.86 tff(280,plain,
% 0.56/0.86 ($false),
% 0.56/0.86 inference(unit_resolution,[status(thm)],[279, 276, 275, 273])).
% 0.56/0.86 tff(281,plain,((p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0)))) | (~![Y: $i] : (p405(Y) | (~r1(X!0, Y))))), inference(lemma,lemma(discharge,[]))).
% 0.56/0.86 tff(282,plain,
% 0.56/0.86 (~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.56/0.86 inference(unit_resolution,[status(thm)],[281, 270])).
% 0.56/0.86 tff(283,assumption,(p505(X!0)), introduced(assumption)).
% 0.56/0.86 tff(284,plain,
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(~p603(X!0)))) | (~((~p404(X!0)) | (~p604(X!0)))) | (~((~p504(X!0)) | (~p604(X!0))))) | ((~p505(X!0)) | (~(p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0))))))),
% 0.56/0.86 inference(tautology,[status(thm)],[])).
% 0.56/0.86 tff(285,plain,
% 0.56/0.86 ((~p505(X!0)) | (~(p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0)))))),
% 0.56/0.86 inference(unit_resolution,[status(thm)],[284, 43])).
% 0.56/0.86 tff(286,plain,
% 0.56/0.86 ((~((~p505(X!0)) | (~(p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0))))))) | (~p505(X!0)) | (~(p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0)))))),
% 0.56/0.86 inference(tautology,[status(thm)],[])).
% 0.56/0.86 tff(287,plain,
% 0.56/0.86 ((~p505(X!0)) | (~(p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0)))))),
% 0.56/0.86 inference(unit_resolution,[status(thm)],[286, 285])).
% 0.56/0.86 tff(288,plain,
% 0.56/0.86 (~(p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0))))),
% 0.56/0.86 inference(unit_resolution,[status(thm)],[287, 283])).
% 0.56/0.86 tff(289,assumption,(~(p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0))))), introduced(assumption)).
% 0.56/0.86 tff(290,plain,
% 0.56/0.86 ((p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0)))) | r1(X!0, tptp_fun_X_3(X!0))),
% 0.56/0.86 inference(tautology,[status(thm)],[])).
% 0.56/0.86 tff(291,plain,
% 0.56/0.86 (r1(X!0, tptp_fun_X_3(X!0))),
% 0.56/0.86 inference(unit_resolution,[status(thm)],[290, 289])).
% 0.56/0.86 tff(292,plain,
% 0.56/0.86 ((p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0)))) | (~p205(tptp_fun_X_3(X!0)))),
% 0.56/0.86 inference(tautology,[status(thm)],[])).
% 0.56/0.86 tff(293,plain,
% 0.56/0.86 (~p205(tptp_fun_X_3(X!0))),
% 0.56/0.86 inference(unit_resolution,[status(thm)],[292, 289])).
% 0.56/0.86 tff(294,assumption,(![Y: $i] : (p205(Y) | (~r1(X!0, Y)))), introduced(assumption)).
% 0.56/0.86 tff(295,plain,
% 0.56/0.86 (((~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))) | (p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0))))) <=> ((~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))) | p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0))))),
% 0.56/0.86 inference(rewrite,[status(thm)],[])).
% 0.56/0.86 tff(296,plain,
% 0.56/0.86 ((~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))) | (p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0))))),
% 0.56/0.86 inference(quant_inst,[status(thm)],[])).
% 0.56/0.86 tff(297,plain,
% 0.56/0.86 ((~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))) | p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0)))),
% 0.56/0.86 inference(modus_ponens,[status(thm)],[296, 295])).
% 0.56/0.86 tff(298,plain,
% 0.56/0.86 ($false),
% 0.56/0.86 inference(unit_resolution,[status(thm)],[297, 294, 293, 291])).
% 0.56/0.86 tff(299,plain,((p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0)))) | (~![Y: $i] : (p205(Y) | (~r1(X!0, Y))))), inference(lemma,lemma(discharge,[]))).
% 0.56/0.86 tff(300,plain,
% 0.56/0.86 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.56/0.86 inference(unit_resolution,[status(thm)],[299, 288])).
% 0.56/0.86 tff(301,plain,
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% 0.56/0.87 inference(tautology,[status(thm)],[])).
% 0.56/0.87 tff(302,plain,
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% 0.56/0.87 inference(unit_resolution,[status(thm)],[301, 43])).
% 0.56/0.87 tff(303,plain,
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% 0.56/0.87 inference(tautology,[status(thm)],[])).
% 0.56/0.87 tff(304,plain,
% 0.56/0.87 ((~p505(X!0)) | (~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0)))))),
% 0.56/0.87 inference(unit_resolution,[status(thm)],[303, 302])).
% 0.56/0.87 tff(305,plain,
% 0.56/0.87 (~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))),
% 0.56/0.87 inference(unit_resolution,[status(thm)],[304, 283])).
% 0.56/0.87 tff(306,plain,
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% 0.56/0.87 inference(unit_resolution,[status(thm)],[122, 305])).
% 0.56/0.87 tff(307,plain,
% 0.56/0.87 (p303(X!0)),
% 0.56/0.87 inference(unit_resolution,[status(thm)],[157, 306, 1, 253, 125])).
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% 0.56/0.87 inference(tautology,[status(thm)],[])).
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% 0.56/0.87 inference(tautology,[status(thm)],[])).
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% 0.56/0.87 inference(unit_resolution,[status(thm)],[311, 307])).
% 0.56/0.87 tff(313,plain,
% 0.56/0.87 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.56/0.87 inference(unit_resolution,[status(thm)],[59, 312])).
% 0.56/0.87 tff(314,assumption,(~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))), introduced(assumption)).
% 0.56/0.87 tff(315,plain,
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% 0.56/0.88 inference(tautology,[status(thm)],[])).
% 0.56/0.88 tff(316,plain,
% 0.56/0.88 ((~p403(X!0)) | (~p303(X!0))),
% 0.56/0.88 inference(unit_resolution,[status(thm)],[315, 43])).
% 0.56/0.88 tff(317,plain,
% 0.56/0.88 ((~((~p403(X!0)) | (~p303(X!0)))) | (~p403(X!0)) | (~p303(X!0))),
% 0.56/0.88 inference(tautology,[status(thm)],[])).
% 0.56/0.88 tff(318,plain,
% 0.56/0.88 ((~p403(X!0)) | (~p303(X!0))),
% 0.56/0.88 inference(unit_resolution,[status(thm)],[317, 316])).
% 0.56/0.88 tff(319,plain,
% 0.56/0.88 (~p403(X!0)),
% 0.56/0.88 inference(unit_resolution,[status(thm)],[318, 307])).
% 0.56/0.88 tff(320,plain,
% 0.56/0.88 ((p404(X!0) | p403(X!0) | p402(X!0) | p401(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y)))) <=> (p404(X!0) | p403(X!0) | p402(X!0) | p401(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))))),
% 0.56/0.88 inference(rewrite,[status(thm)],[])).
% 0.56/0.88 tff(321,plain,
% 0.56/0.88 (p404(X!0) | p403(X!0) | p402(X!0) | p401(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.56/0.88 inference(and_elim,[status(thm)],[33])).
% 0.56/0.88 tff(322,plain,
% 0.56/0.88 (p404(X!0) | p403(X!0) | p402(X!0) | p401(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.56/0.88 inference(modus_ponens,[status(thm)],[321, 320])).
% 0.56/0.88 tff(323,plain,
% 0.56/0.88 (p402(X!0)),
% 0.56/0.88 inference(unit_resolution,[status(thm)],[322, 319, 229, 230, 314])).
% 0.56/0.88 tff(324,plain,
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% 0.56/0.88 inference(tautology,[status(thm)],[])).
% 0.56/0.88 tff(325,plain,
% 0.56/0.88 ((~p202(X!0)) | (~p402(X!0))),
% 0.56/0.88 inference(unit_resolution,[status(thm)],[324, 43])).
% 0.56/0.88 tff(326,plain,
% 0.56/0.88 ((~((~p202(X!0)) | (~p402(X!0)))) | (~p202(X!0)) | (~p402(X!0))),
% 0.56/0.88 inference(tautology,[status(thm)],[])).
% 0.56/0.88 tff(327,plain,
% 0.56/0.88 ((~p202(X!0)) | (~p402(X!0))),
% 0.56/0.88 inference(unit_resolution,[status(thm)],[326, 325])).
% 0.56/0.88 tff(328,plain,
% 0.56/0.88 (~p202(X!0)),
% 0.56/0.88 inference(unit_resolution,[status(thm)],[327, 323])).
% 0.56/0.88 tff(329,plain,
% 0.56/0.88 ((![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | p202(X!0) | p201(X!0) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y)))) <=> (p202(X!0) | p201(X!0) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))))),
% 0.56/0.88 inference(rewrite,[status(thm)],[])).
% 0.56/0.88 tff(330,plain,
% 0.56/0.88 ((![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | p202(X!0) | p201(X!0) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y)))) <=> (![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | p202(X!0) | p201(X!0) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))))),
% 0.56/0.88 inference(rewrite,[status(thm)],[])).
% 0.56/0.88 tff(331,plain,
% 0.56/0.88 (![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | p202(X!0) | p201(X!0) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.56/0.88 inference(and_elim,[status(thm)],[33])).
% 0.56/0.88 tff(332,plain,
% 0.56/0.88 (![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | p202(X!0) | p201(X!0) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.56/0.89 inference(modus_ponens,[status(thm)],[331, 330])).
% 0.56/0.89 tff(333,plain,
% 0.56/0.89 (p202(X!0) | p201(X!0) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.56/0.89 inference(modus_ponens,[status(thm)],[332, 329])).
% 0.56/0.89 tff(334,plain,
% 0.56/0.89 ($false),
% 0.56/0.89 inference(unit_resolution,[status(thm)],[333, 328, 313, 300, 97, 252])).
% 0.56/0.89 tff(335,plain,((~p505(X!0)) | p201(X!0) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | p401(X!0) | p404(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p301(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | p302(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.56/0.89 tff(336,plain,
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% 0.56/0.89 inference(unit_resolution,[status(thm)],[335, 282, 252, 229, 230, 97, 1, 253, 125])).
% 0.56/0.89 tff(337,plain,
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% 0.56/0.89 inference(unit_resolution,[status(thm)],[134, 336, 90, 62, 173])).
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% 0.56/0.89 inference(tautology,[status(thm)],[])).
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% 0.56/0.89 tff(341,plain,
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% 0.56/0.89 tff(342,plain,
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% 0.56/0.89 inference(unit_resolution,[status(thm)],[341, 337])).
% 0.56/0.89 tff(343,plain,
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% 0.66/0.90 inference(tautology,[status(thm)],[])).
% 0.66/0.90 tff(365,plain,
% 0.66/0.90 ((~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))) | (~(p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0)))))),
% 0.66/0.91 inference(unit_resolution,[status(thm)],[364, 43])).
% 0.66/0.91 tff(366,plain,
% 0.66/0.91 ((~((~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))) | (~(p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0))))))) | (~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))) | (~(p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0)))))),
% 0.66/0.91 inference(tautology,[status(thm)],[])).
% 0.66/0.91 tff(367,plain,
% 0.66/0.91 ((~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))) | (~(p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0)))))),
% 0.66/0.91 inference(unit_resolution,[status(thm)],[366, 365])).
% 0.66/0.91 tff(368,plain,
% 0.66/0.91 (~(p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0))))),
% 0.66/0.91 inference(unit_resolution,[status(thm)],[367, 363])).
% 0.66/0.91 tff(369,plain,
% 0.66/0.91 ($false),
% 0.66/0.91 inference(unit_resolution,[status(thm)],[299, 368, 360])).
% 0.66/0.91 tff(370,plain,(p502(X!0) | p501(X!0) | p504(X!0) | p201(X!0) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | p401(X!0) | p404(X!0) | p301(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | p302(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.66/0.91 tff(371,plain,
% 0.66/0.91 (p502(X!0)),
% 0.66/0.91 inference(unit_resolution,[status(thm)],[370, 133, 90, 97, 251, 229, 230, 1, 152, 125])).
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% 0.66/0.91 inference(tautology,[status(thm)],[])).
% 0.66/0.91 tff(373,plain,
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% 0.66/0.91 inference(unit_resolution,[status(thm)],[372, 43])).
% 0.66/0.91 tff(374,plain,
% 0.66/0.91 ((~((~p202(X!0)) | (~p502(X!0)))) | (~p202(X!0)) | (~p502(X!0))),
% 0.66/0.91 inference(tautology,[status(thm)],[])).
% 0.66/0.91 tff(375,plain,
% 0.66/0.91 ((~p202(X!0)) | (~p502(X!0))),
% 0.66/0.91 inference(unit_resolution,[status(thm)],[374, 373])).
% 0.66/0.91 tff(376,plain,
% 0.66/0.91 (~p202(X!0)),
% 0.66/0.91 inference(unit_resolution,[status(thm)],[375, 371])).
% 0.66/0.91 tff(377,assumption,(p502(X!0)), introduced(assumption)).
% 0.66/0.91 tff(378,plain,
% 0.66/0.91 (~p202(X!0)),
% 0.66/0.91 inference(unit_resolution,[status(thm)],[375, 377])).
% 0.66/0.91 tff(379,assumption,(~p303(X!0)), introduced(assumption)).
% 0.66/0.91 tff(380,plain,
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% 0.66/0.91 inference(tautology,[status(thm)],[])).
% 0.66/0.91 tff(381,plain,
% 0.66/0.91 ((~p302(X!0)) | (~p502(X!0))),
% 0.66/0.91 inference(unit_resolution,[status(thm)],[380, 43])).
% 0.66/0.91 tff(382,plain,
% 0.66/0.91 ((~((~p302(X!0)) | (~p502(X!0)))) | (~p302(X!0)) | (~p502(X!0))),
% 0.66/0.92 inference(tautology,[status(thm)],[])).
% 0.66/0.92 tff(383,plain,
% 0.66/0.92 ((~p302(X!0)) | (~p502(X!0))),
% 0.66/0.92 inference(unit_resolution,[status(thm)],[382, 381])).
% 0.66/0.92 tff(384,plain,
% 0.66/0.92 (~p302(X!0)),
% 0.66/0.92 inference(unit_resolution,[status(thm)],[383, 377])).
% 0.66/0.92 tff(385,plain,
% 0.66/0.92 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.66/0.92 inference(unit_resolution,[status(thm)],[157, 384, 1, 379, 253])).
% 0.66/0.92 tff(386,plain,
% 0.66/0.92 (p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0)))),
% 0.66/0.92 inference(unit_resolution,[status(thm)],[122, 385])).
% 0.66/0.92 tff(387,assumption,(~p403(X!0)), introduced(assumption)).
% 0.66/0.92 tff(388,plain,
% 0.66/0.92 (~p402(X!0)),
% 0.66/0.92 inference(unit_resolution,[status(thm)],[348, 377])).
% 0.66/0.92 tff(389,plain,
% 0.66/0.92 (![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.66/0.92 inference(unit_resolution,[status(thm)],[322, 388, 387, 230, 229])).
% 0.66/0.92 tff(390,plain,
% 0.66/0.92 (p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0)))),
% 0.66/0.92 inference(unit_resolution,[status(thm)],[281, 389])).
% 0.66/0.92 tff(391,plain,
% 0.66/0.92 ($false),
% 0.66/0.92 inference(unit_resolution,[status(thm)],[258, 390, 386])).
% 0.66/0.92 tff(392,plain,((~p502(X!0)) | p403(X!0) | p404(X!0) | p401(X!0) | p301(X!0) | p303(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.66/0.92 tff(393,plain,
% 0.66/0.92 (p403(X!0)),
% 0.66/0.92 inference(unit_resolution,[status(thm)],[392, 379, 1, 229, 230, 253, 377])).
% 0.66/0.92 tff(394,plain,
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% 0.66/0.92 inference(tautology,[status(thm)],[])).
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% 0.66/0.93 inference(tautology,[status(thm)],[])).
% 0.66/0.93 tff(424,plain,
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% 0.66/0.93 inference(tautology,[status(thm)],[])).
% 0.66/0.93 tff(426,plain,
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% 0.66/0.93 inference(unit_resolution,[status(thm)],[425, 424])).
% 0.66/0.93 tff(427,plain,
% 0.66/0.93 (~p504(X!0)),
% 0.66/0.93 inference(unit_resolution,[status(thm)],[426, 422])).
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% 0.66/0.93 inference(tautology,[status(thm)],[])).
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% 0.66/0.93 inference(unit_resolution,[status(thm)],[428, 43])).
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% 0.66/0.93 inference(tautology,[status(thm)],[])).
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% 0.66/0.93 inference(unit_resolution,[status(thm)],[430, 429])).
% 0.66/0.93 tff(432,plain,
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% 0.66/0.93 inference(unit_resolution,[status(thm)],[431, 422])).
% 0.66/0.93 tff(433,plain,
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% 0.66/0.93 inference(unit_resolution,[status(thm)],[250, 432])).
% 0.66/0.93 tff(434,plain,
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% 0.66/0.94 inference(tautology,[status(thm)],[])).
% 0.66/0.94 tff(435,plain,
% 0.66/0.94 ((~p402(X!0)) | (~p602(X!0))),
% 0.66/0.94 inference(unit_resolution,[status(thm)],[434, 43])).
% 0.66/0.94 tff(436,plain,
% 0.66/0.94 ((~((~p402(X!0)) | (~p602(X!0)))) | (~p402(X!0)) | (~p602(X!0))),
% 0.66/0.94 inference(tautology,[status(thm)],[])).
% 0.66/0.94 tff(437,plain,
% 0.66/0.94 ((~p402(X!0)) | (~p602(X!0))),
% 0.66/0.94 inference(unit_resolution,[status(thm)],[436, 435])).
% 0.66/0.94 tff(438,plain,
% 0.66/0.94 (~p602(X!0)),
% 0.66/0.94 inference(unit_resolution,[status(thm)],[437, 344])).
% 0.66/0.94 tff(439,assumption,(~p602(X!0)), introduced(assumption)).
% 0.66/0.94 tff(440,plain,
% 0.66/0.94 (p601(X!0) | p602(X!0) | p603(X!0) | p604(X!0) | p605(X!0)),
% 0.66/0.94 inference(and_elim,[status(thm)],[33])).
% 0.66/0.94 tff(441,plain,
% 0.66/0.94 (p605(X!0)),
% 0.66/0.94 inference(unit_resolution,[status(thm)],[440, 3, 61, 4, 439])).
% 0.66/0.94 tff(442,plain,
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% 0.66/0.94 inference(tautology,[status(thm)],[])).
% 0.66/0.94 tff(443,plain,
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% 0.66/0.94 inference(unit_resolution,[status(thm)],[442, 43])).
% 0.66/0.94 tff(444,plain,
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% 0.66/0.94 inference(tautology,[status(thm)],[])).
% 0.66/0.94 tff(445,plain,
% 0.66/0.94 ((~p605(X!0)) | (~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0)))))),
% 0.66/0.94 inference(unit_resolution,[status(thm)],[444, 443])).
% 0.66/0.94 tff(446,plain,
% 0.66/0.94 (~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))),
% 0.66/0.94 inference(unit_resolution,[status(thm)],[445, 441])).
% 0.66/0.94 tff(447,plain,
% 0.66/0.94 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.66/0.94 inference(unit_resolution,[status(thm)],[122, 446])).
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% 0.66/0.96 inference(tautology,[status(thm)],[])).
% 0.66/0.96 tff(461,plain,
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% 0.66/0.96 tff(463,plain,
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% 0.66/0.96 tff(464,plain,
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% 0.66/0.96 inference(unit_resolution,[status(thm)],[463, 441])).
% 0.66/0.96 tff(465,assumption,(p303(X!0)), introduced(assumption)).
% 0.66/0.96 tff(466,plain,
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% 0.66/0.96 inference(unit_resolution,[status(thm)],[162, 465])).
% 0.66/0.96 tff(467,plain,
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% 0.66/0.96 tff(468,plain,
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% 0.66/0.96 inference(unit_resolution,[status(thm)],[322, 467, 229, 230, 314])).
% 0.66/0.96 tff(469,plain,
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% 0.66/0.96 tff(470,plain,
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% 0.66/0.96 tff(471,plain,
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% 0.66/0.96 tff(472,plain,
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% 0.66/0.96 tff(473,plain,
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% 0.66/0.96 inference(unit_resolution,[status(thm)],[59, 472])).
% 0.66/0.96 tff(474,plain,
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% 0.66/0.96 tff(475,plain,
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% 0.66/0.96 inference(tautology,[status(thm)],[])).
% 0.66/0.96 tff(477,plain,
% 0.66/0.96 ((~p504(X!0)) | (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0)))))),
% 0.66/0.96 inference(unit_resolution,[status(thm)],[476, 43])).
% 0.66/0.96 tff(478,plain,
% 0.66/0.96 ((~((~p504(X!0)) | (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))))) | (~p504(X!0)) | (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0)))))),
% 0.66/0.96 inference(tautology,[status(thm)],[])).
% 0.66/0.96 tff(479,plain,
% 0.66/0.96 ((~p504(X!0)) | (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0)))))),
% 0.66/0.96 inference(unit_resolution,[status(thm)],[478, 477])).
% 0.66/0.96 tff(480,plain,
% 0.66/0.96 ($false),
% 0.66/0.96 inference(unit_resolution,[status(thm)],[479, 475, 470])).
% 0.66/0.96 tff(481,plain,((~p303(X!0)) | p501(X!0) | p505(X!0) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p201(X!0) | p401(X!0) | p404(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.66/0.96 tff(482,plain,
% 0.66/0.96 (~p303(X!0)),
% 0.66/0.96 inference(unit_resolution,[status(thm)],[481, 464, 90, 459, 97, 229, 230, 453])).
% 0.66/0.96 tff(483,plain,
% 0.66/0.96 (![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.66/0.96 inference(unit_resolution,[status(thm)],[157, 482, 1, 447, 125])).
% 0.66/0.96 tff(484,plain,
% 0.66/0.96 (p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0)))),
% 0.66/0.96 inference(unit_resolution,[status(thm)],[151, 483])).
% 0.66/0.96 tff(485,plain,
% 0.66/0.96 (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))),
% 0.66/0.96 inference(unit_resolution,[status(thm)],[431, 484])).
% 0.66/0.96 tff(486,plain,
% 0.66/0.96 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.66/0.96 inference(unit_resolution,[status(thm)],[250, 485])).
% 0.66/0.96 tff(487,plain,
% 0.66/0.96 (~p504(X!0)),
% 0.66/0.96 inference(unit_resolution,[status(thm)],[426, 484])).
% 0.66/0.96 tff(488,plain,
% 0.66/0.96 (~p402(X!0)),
% 0.66/0.96 inference(unit_resolution,[status(thm)],[359, 464, 90, 487, 459, 97, 486])).
% 0.66/0.96 tff(489,assumption,(p503(X!0)), introduced(assumption)).
% 0.66/0.96 tff(490,plain,
% 0.66/0.96 (~p603(X!0)),
% 0.66/0.96 inference(unit_resolution,[status(thm)],[177, 489])).
% 0.66/0.96 tff(491,plain,
% 0.66/0.96 (p605(X!0)),
% 0.66/0.96 inference(unit_resolution,[status(thm)],[440, 490, 439, 3, 61])).
% 0.66/0.96 tff(492,plain,
% 0.66/0.96 (~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))),
% 0.66/0.96 inference(unit_resolution,[status(thm)],[451, 491])).
% 0.66/0.96 tff(493,plain,
% 0.66/0.96 (r1(X!0, tptp_fun_X_1(X!0))),
% 0.66/0.96 inference(unit_resolution,[status(thm)],[272, 492])).
% 0.66/0.96 tff(494,plain,
% 0.66/0.97 (~p405(tptp_fun_X_1(X!0))),
% 0.66/0.97 inference(unit_resolution,[status(thm)],[274, 492])).
% 0.66/0.97 tff(495,assumption,(~p402(X!0)), introduced(assumption)).
% 0.66/0.97 tff(496,plain,
% 0.66/0.97 (~p403(X!0)),
% 0.66/0.97 inference(unit_resolution,[status(thm)],[341, 489])).
% 0.66/0.97 tff(497,plain,
% 0.66/0.97 (![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.66/0.97 inference(unit_resolution,[status(thm)],[322, 496, 495, 230, 229])).
% 0.66/0.97 tff(498,plain,
% 0.66/0.97 ($false),
% 0.66/0.97 inference(unit_resolution,[status(thm)],[279, 497, 494, 493])).
% 0.66/0.97 tff(499,plain,((~p503(X!0)) | p602(X!0) | p604(X!0) | p601(X!0) | p402(X!0) | p404(X!0) | p401(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.66/0.97 tff(500,plain,
% 0.66/0.97 (~p503(X!0)),
% 0.66/0.97 inference(unit_resolution,[status(thm)],[499, 488, 229, 61, 439, 230, 3])).
% 0.66/0.97 tff(501,plain,
% 0.66/0.97 (p502(X!0)),
% 0.66/0.97 inference(unit_resolution,[status(thm)],[134, 500, 90, 464, 487])).
% 0.66/0.97 tff(502,plain,
% 0.66/0.97 (~p202(X!0)),
% 0.66/0.97 inference(unit_resolution,[status(thm)],[375, 501])).
% 0.66/0.97 tff(503,plain,
% 0.66/0.97 (p403(X!0)),
% 0.66/0.97 inference(unit_resolution,[status(thm)],[322, 488, 229, 230, 453])).
% 0.66/0.97 tff(504,plain,
% 0.66/0.97 (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))),
% 0.66/0.97 inference(unit_resolution,[status(thm)],[397, 503])).
% 0.66/0.97 tff(505,plain,
% 0.66/0.97 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.66/0.97 inference(unit_resolution,[status(thm)],[59, 504])).
% 0.66/0.97 tff(506,plain,
% 0.66/0.97 ($false),
% 0.66/0.97 inference(unit_resolution,[status(thm)],[333, 505, 502, 459, 97, 486])).
% 0.66/0.97 tff(507,plain,(p604(X!0) | p201(X!0) | p501(X!0) | p401(X!0) | p404(X!0) | p601(X!0) | p602(X!0) | p301(X!0) | p302(X!0) | p603(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.66/0.97 tff(508,plain,
% 0.66/0.97 (p603(X!0)),
% 0.66/0.97 inference(unit_resolution,[status(thm)],[507, 438, 90, 229, 230, 61, 421, 1, 125, 97])).
% 0.66/0.97 tff(509,plain,
% 0.66/0.97 (((~((~p201(X!0)) | (~p301(X!0)))) | (~((~p201(X!0)) | (~p601(X!0)))) | (~((~p301(X!0)) | (~p401(X!0)))) | (~((~p301(X!0)) | (~p501(X!0)))) | (~((~p301(X!0)) | (~p601(X!0)))) | (~((~p401(X!0)) | (~p501(X!0)))) | (~((~p401(X!0)) | (~p601(X!0)))) | (~((~p501(X!0)) | (~p601(X!0)))) | (~((~p302(X!0)) | (~p202(X!0)))) | (~((~p101(X!0)) | (~p401(X!0)))) | (~((~p101(X!0)) | (~p501(X!0)))) | (~((~p101(X!0)) | (~p301(X!0)))) | (~((~p101(X!0)) | (~p601(X!0)))) | (~((~p201(X!0)) | (~p401(X!0)))) | (~((~p403(X!0)) | (~p303(X!0)))) | (~((~p201(X!0)) | (~p501(X!0)))) | (~((~p101(X!0)) | (~p201(X!0)))) | (~((~p504(X!0)) | (~p404(X!0)))) | (~((~p605(X!0)) | (~p505(X!0)))) | (~((~p605(X!0)) | (~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))))) | (~((~p505(X!0)) | (~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))))) | (~((~p505(X!0)) | (~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))))) | (~((~p605(X!0)) | (~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))))) | (~((~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))) | (~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))))) | (~((~p605(X!0)) | (~(p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0))))))) | (~((~p505(X!0)) | (~(p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0))))))) | (~((~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))) | (~(p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0))))))) | (~((~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))) | (~(p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0))))))) | (~((~p605(X!0)) | (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))))) | (~((~p505(X!0)) | (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))))) | (~((~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))) | (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))))) | (~((~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))) | (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))))) | (~((~(p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0))))) | (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))))) | (~((~p604(X!0)) | (~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))))) | (~((~p504(X!0)) | (~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))))) | (~((~p404(X!0)) | (~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))))) | (~((~p604(X!0)) | (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))))) | (~((~p504(X!0)) | (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))))) | (~((~p404(X!0)) | (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))))) | (~((~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))) | (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))))) | (~((~p604(X!0)) | (~(p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0))))))) | (~((~p504(X!0)) | (~(p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0))))))) | (~((~p404(X!0)) | (~(p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0))))))) | (~((~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))) | (~(p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0))))))) | (~((~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))) | (~(p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0))))))) | (~((~p603(X!0)) | (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))))) | (~((~p503(X!0)) | (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))))) | (~((~p403(X!0)) | (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))))) | (~((~p303(X!0)) | (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))))) | (~((~p603(X!0)) | (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))))) | (~((~p503(X!0)) | (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))))) | (~((~p403(X!0)) | (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))))) | (~((~p303(X!0)) | (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))))) | (~((~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))) | (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))))) | (~((~p602(X!0)) | (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))))) | (~((~p502(X!0)) | (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))))) | (~((~p402(X!0)) | (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))))) | (~((~p302(X!0)) | (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))))) | (~((~p202(X!0)) | (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))))) | (~((~p202(X!0)) | (~p402(X!0)))) | (~((~p202(X!0)) | (~p502(X!0)))) | (~((~p202(X!0)) | (~p602(X!0)))) | (~((~p302(X!0)) | (~p402(X!0)))) | (~((~p302(X!0)) | (~p502(X!0)))) | (~((~p302(X!0)) | (~p602(X!0)))) | (~((~p402(X!0)) | (~p502(X!0)))) | (~((~p402(X!0)) | (~p602(X!0)))) | (~((~p502(X!0)) | (~p602(X!0)))) | (~((~p303(X!0)) | (~p503(X!0)))) | (~((~p303(X!0)) | (~p603(X!0)))) | (~((~p403(X!0)) | (~p503(X!0)))) | (~((~p403(X!0)) | (~p603(X!0)))) | (~((~p503(X!0)) | (~p603(X!0)))) | (~((~p404(X!0)) | (~p604(X!0)))) | (~((~p504(X!0)) | (~p604(X!0))))) | ((~p603(X!0)) | (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))))),
% 0.66/0.97 inference(tautology,[status(thm)],[])).
% 0.66/0.97 tff(510,plain,
% 0.66/0.97 ((~p603(X!0)) | (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0)))))),
% 0.66/0.97 inference(unit_resolution,[status(thm)],[509, 43])).
% 0.66/0.97 tff(511,plain,
% 0.66/0.97 ((~((~p603(X!0)) | (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))))) | (~p603(X!0)) | (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0)))))),
% 0.66/0.97 inference(tautology,[status(thm)],[])).
% 0.66/0.97 tff(512,plain,
% 0.66/0.97 ((~p603(X!0)) | (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0)))))),
% 0.66/0.97 inference(unit_resolution,[status(thm)],[511, 510])).
% 0.66/0.97 tff(513,plain,
% 0.66/0.97 (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))),
% 0.66/0.97 inference(unit_resolution,[status(thm)],[512, 508])).
% 0.66/0.97 tff(514,plain,
% 0.66/0.97 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.66/0.97 inference(unit_resolution,[status(thm)],[59, 513])).
% 0.66/0.97 tff(515,plain,
% 0.66/0.97 (![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.66/0.97 inference(unit_resolution,[status(thm)],[333, 514, 252, 97, 351])).
% 0.66/0.97 tff(516,plain,
% 0.66/0.97 (~p503(X!0)),
% 0.66/0.97 inference(unit_resolution,[status(thm)],[177, 508])).
% 0.66/0.97 tff(517,plain,
% 0.66/0.97 (p505(X!0)),
% 0.66/0.97 inference(unit_resolution,[status(thm)],[134, 516, 90, 173, 62])).
% 0.66/0.97 tff(518,plain,
% 0.66/0.97 (~(p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0))))),
% 0.66/0.97 inference(unit_resolution,[status(thm)],[287, 517])).
% 0.66/0.97 tff(519,plain,
% 0.66/0.97 ($false),
% 0.66/0.97 inference(unit_resolution,[status(thm)],[299, 518, 515])).
% 0.66/0.97 tff(520,plain,((~p402(X!0)) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | p201(X!0) | p501(X!0) | p504(X!0) | p502(X!0) | p401(X!0) | p404(X!0) | p601(X!0) | p301(X!0) | p302(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.66/0.97 tff(521,plain,
% 0.66/0.97 (~p402(X!0)),
% 0.66/0.97 inference(unit_resolution,[status(thm)],[520, 62, 97, 90, 173, 252, 229, 230, 61, 1, 125])).
% 0.66/0.97 tff(522,plain,
% 0.66/0.97 (![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.66/0.97 inference(unit_resolution,[status(thm)],[322, 495, 229, 230, 387])).
% 0.66/0.97 tff(523,plain,
% 0.66/0.97 (p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0)))),
% 0.66/0.97 inference(unit_resolution,[status(thm)],[281, 522])).
% 0.66/0.97 tff(524,plain,
% 0.66/0.97 (~(p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0))))),
% 0.66/0.97 inference(unit_resolution,[status(thm)],[417, 523])).
% 0.66/0.97 tff(525,plain,
% 0.66/0.97 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.66/0.97 inference(unit_resolution,[status(thm)],[299, 524])).
% 0.66/0.97 tff(526,plain,
% 0.66/0.97 (~p505(X!0)),
% 0.66/0.97 inference(unit_resolution,[status(thm)],[264, 523])).
% 0.66/0.97 tff(527,plain,
% 0.66/0.97 (p503(X!0)),
% 0.66/0.97 inference(unit_resolution,[status(thm)],[134, 526, 90, 173, 62])).
% 0.66/0.97 tff(528,plain,
% 0.66/0.97 (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))),
% 0.66/0.97 inference(unit_resolution,[status(thm)],[357, 527])).
% 0.66/0.97 tff(529,plain,
% 0.66/0.97 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.66/0.97 inference(unit_resolution,[status(thm)],[59, 528])).
% 0.66/0.97 tff(530,plain,
% 0.66/0.97 (p602(X!0)),
% 0.66/0.97 inference(unit_resolution,[status(thm)],[499, 527, 229, 61, 3, 230, 495])).
% 0.66/0.97 tff(531,plain,
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% 0.66/0.98 tff(547,plain,
% 0.66/0.98 (~p202(X!0)),
% 0.66/0.98 inference(unit_resolution,[status(thm)],[534, 546])).
% 0.66/0.98 tff(548,plain,
% 0.66/0.98 (~p503(X!0)),
% 0.66/0.98 inference(unit_resolution,[status(thm)],[341, 538])).
% 0.66/0.98 tff(549,plain,
% 0.66/0.98 (p505(X!0)),
% 0.66/0.98 inference(unit_resolution,[status(thm)],[134, 548, 90, 173, 62])).
% 0.66/0.98 tff(550,plain,
% 0.66/0.98 (~(p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0))))),
% 0.66/0.98 inference(unit_resolution,[status(thm)],[287, 549])).
% 0.66/0.98 tff(551,plain,
% 0.66/0.98 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.66/0.98 inference(unit_resolution,[status(thm)],[299, 550])).
% 0.66/0.98 tff(552,plain,
% 0.66/0.98 ($false),
% 0.66/0.98 inference(unit_resolution,[status(thm)],[333, 551, 547, 252, 97, 540])).
% 0.66/0.98 tff(553,plain,(p502(X!0) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | p201(X!0) | p501(X!0) | p401(X!0) | p404(X!0) | p601(X!0) | p301(X!0) | p302(X!0) | p504(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.66/0.98 tff(554,plain,
% 0.66/0.98 (p502(X!0)),
% 0.66/0.98 inference(unit_resolution,[status(thm)],[553, 433, 97, 90, 229, 230, 61, 1, 125, 427])).
% 0.66/0.98 tff(555,plain,
% 0.66/0.98 (~p402(X!0)),
% 0.66/0.98 inference(unit_resolution,[status(thm)],[348, 554])).
% 0.66/0.98 tff(556,plain,
% 0.66/0.98 (((~((~p201(X!0)) | (~p301(X!0)))) | (~((~p201(X!0)) | (~p601(X!0)))) | (~((~p301(X!0)) | (~p401(X!0)))) | (~((~p301(X!0)) | (~p501(X!0)))) | (~((~p301(X!0)) | (~p601(X!0)))) | (~((~p401(X!0)) | (~p501(X!0)))) | (~((~p401(X!0)) | (~p601(X!0)))) | (~((~p501(X!0)) | (~p601(X!0)))) | (~((~p302(X!0)) | (~p202(X!0)))) | (~((~p101(X!0)) | (~p401(X!0)))) | (~((~p101(X!0)) | (~p501(X!0)))) | (~((~p101(X!0)) | (~p301(X!0)))) | (~((~p101(X!0)) | (~p601(X!0)))) | (~((~p201(X!0)) | (~p401(X!0)))) | (~((~p403(X!0)) | (~p303(X!0)))) | (~((~p201(X!0)) | (~p501(X!0)))) | (~((~p101(X!0)) | (~p201(X!0)))) | (~((~p504(X!0)) | (~p404(X!0)))) | (~((~p605(X!0)) | (~p505(X!0)))) | (~((~p605(X!0)) | (~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))))) | (~((~p505(X!0)) | (~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))))) | (~((~p505(X!0)) | (~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))))) | (~((~p605(X!0)) | (~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))))) | (~((~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))) | (~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))))) | (~((~p605(X!0)) | (~(p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0))))))) | (~((~p505(X!0)) | (~(p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0))))))) | (~((~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))) | (~(p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0))))))) | (~((~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))) | (~(p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0))))))) | (~((~p605(X!0)) | (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))))) | (~((~p505(X!0)) | (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))))) | (~((~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))) | (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))))) | (~((~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))) | (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))))) | (~((~(p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0))))) | (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))))) | (~((~p604(X!0)) | (~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))))) | (~((~p504(X!0)) | (~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))))) | (~((~p404(X!0)) | (~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))))) | (~((~p604(X!0)) | (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))))) | (~((~p504(X!0)) | (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))))) | (~((~p404(X!0)) | (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))))) | (~((~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))) | (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))))) | (~((~p604(X!0)) | (~(p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0))))))) | (~((~p504(X!0)) | (~(p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0))))))) | (~((~p404(X!0)) | (~(p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0))))))) | (~((~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))) | (~(p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0))))))) | (~((~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))) | (~(p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0))))))) | (~((~p603(X!0)) | (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))))) | (~((~p503(X!0)) | (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))))) | (~((~p403(X!0)) | (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))))) | (~((~p303(X!0)) | (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))))) | (~((~p603(X!0)) | (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))))) | (~((~p503(X!0)) | (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))))) | (~((~p403(X!0)) | (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))))) | (~((~p303(X!0)) | (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))))) | (~((~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))) | (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))))) | (~((~p602(X!0)) | (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))))) | (~((~p502(X!0)) | (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))))) | (~((~p402(X!0)) | (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))))) | (~((~p302(X!0)) | (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))))) | (~((~p202(X!0)) | (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))))) | (~((~p202(X!0)) | (~p402(X!0)))) | (~((~p202(X!0)) | (~p502(X!0)))) | (~((~p202(X!0)) | (~p602(X!0)))) | (~((~p302(X!0)) | (~p402(X!0)))) | (~((~p302(X!0)) | (~p502(X!0)))) | (~((~p302(X!0)) | (~p602(X!0)))) | (~((~p402(X!0)) | (~p502(X!0)))) | (~((~p402(X!0)) | (~p602(X!0)))) | (~((~p502(X!0)) | (~p602(X!0)))) | (~((~p303(X!0)) | (~p503(X!0)))) | (~((~p303(X!0)) | (~p603(X!0)))) | (~((~p403(X!0)) | (~p503(X!0)))) | (~((~p403(X!0)) | (~p603(X!0)))) | (~((~p503(X!0)) | (~p603(X!0)))) | (~((~p404(X!0)) | (~p604(X!0)))) | (~((~p504(X!0)) | (~p604(X!0))))) | ((~p502(X!0)) | (~p602(X!0)))),
% 0.66/0.98 inference(tautology,[status(thm)],[])).
% 0.66/0.98 tff(557,plain,
% 0.66/0.98 ((~p502(X!0)) | (~p602(X!0))),
% 0.66/0.98 inference(unit_resolution,[status(thm)],[556, 43])).
% 0.66/0.98 tff(558,plain,
% 0.66/0.98 ((~((~p502(X!0)) | (~p602(X!0)))) | (~p502(X!0)) | (~p602(X!0))),
% 0.66/0.98 inference(tautology,[status(thm)],[])).
% 0.66/0.98 tff(559,plain,
% 0.66/0.98 ((~p502(X!0)) | (~p602(X!0))),
% 0.66/0.98 inference(unit_resolution,[status(thm)],[558, 557])).
% 0.66/0.98 tff(560,plain,
% 0.66/0.98 (~p602(X!0)),
% 0.66/0.98 inference(unit_resolution,[status(thm)],[559, 554])).
% 0.66/0.98 tff(561,plain,
% 0.66/0.98 (p603(X!0)),
% 0.66/0.98 inference(unit_resolution,[status(thm)],[507, 560, 90, 229, 230, 61, 421, 1, 125, 97])).
% 0.66/0.98 tff(562,plain,
% 0.66/0.98 (~p403(X!0)),
% 0.66/0.98 inference(unit_resolution,[status(thm)],[544, 561])).
% 0.66/0.98 tff(563,plain,
% 0.66/0.98 (![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.66/0.98 inference(unit_resolution,[status(thm)],[322, 562, 229, 230, 555])).
% 0.66/0.98 tff(564,plain,
% 0.66/0.98 (p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0)))),
% 0.66/0.99 inference(unit_resolution,[status(thm)],[281, 563])).
% 0.66/0.99 tff(565,plain,
% 0.66/0.99 (~p202(X!0)),
% 0.66/0.99 inference(unit_resolution,[status(thm)],[375, 554])).
% 0.66/0.99 tff(566,plain,
% 0.66/0.99 (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))),
% 0.66/0.99 inference(unit_resolution,[status(thm)],[512, 561])).
% 0.66/0.99 tff(567,plain,
% 0.66/0.99 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.66/0.99 inference(unit_resolution,[status(thm)],[59, 566])).
% 0.66/0.99 tff(568,plain,
% 0.66/0.99 (![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.66/0.99 inference(unit_resolution,[status(thm)],[333, 567, 433, 97, 565])).
% 0.66/0.99 tff(569,plain,
% 0.66/0.99 (p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0)))),
% 0.66/0.99 inference(unit_resolution,[status(thm)],[299, 568])).
% 0.66/0.99 tff(570,plain,
% 0.66/0.99 ($false),
% 0.66/0.99 inference(unit_resolution,[status(thm)],[417, 569, 564])).
% 0.66/0.99 tff(571,plain,((~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))) | p201(X!0) | p401(X!0) | p404(X!0) | p501(X!0) | p601(X!0) | p301(X!0) | p302(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.66/0.99 tff(572,plain,
% 0.66/0.99 (~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))),
% 0.66/0.99 inference(unit_resolution,[status(thm)],[571, 230, 229, 97, 90, 61, 1, 125])).
% 0.66/0.99 tff(573,plain,
% 0.66/0.99 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.66/0.99 inference(unit_resolution,[status(thm)],[151, 572])).
% 0.66/0.99 tff(574,plain,
% 0.66/0.99 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.66/0.99 inference(unit_resolution,[status(thm)],[157, 253, 1, 379, 125])).
% 0.66/0.99 tff(575,plain,
% 0.66/0.99 (p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0)))),
% 0.66/0.99 inference(unit_resolution,[status(thm)],[122, 574])).
% 0.66/0.99 tff(576,plain,
% 0.66/0.99 (~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))),
% 0.66/0.99 inference(unit_resolution,[status(thm)],[258, 575])).
% 0.66/0.99 tff(577,plain,
% 0.66/0.99 (~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.66/0.99 inference(unit_resolution,[status(thm)],[281, 576])).
% 0.66/0.99 tff(578,plain,
% 0.66/0.99 (~p505(X!0)),
% 0.66/0.99 inference(unit_resolution,[status(thm)],[304, 575])).
% 0.66/0.99 tff(579,plain,
% 0.66/0.99 (~(p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0))))),
% 0.66/0.99 inference(unit_resolution,[status(thm)],[367, 575])).
% 0.66/0.99 tff(580,plain,
% 0.66/0.99 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.66/0.99 inference(unit_resolution,[status(thm)],[299, 579])).
% 0.66/0.99 tff(581,plain,
% 0.66/0.99 (![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.66/0.99 inference(unit_resolution,[status(thm)],[333, 514, 2, 97, 351])).
% 0.66/0.99 tff(582,plain,
% 0.66/0.99 (p504(X!0)),
% 0.66/0.99 inference(unit_resolution,[status(thm)],[134, 516, 90, 127, 62])).
% 0.66/0.99 tff(583,plain,
% 0.66/0.99 (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))),
% 0.66/0.99 inference(unit_resolution,[status(thm)],[479, 582])).
% 0.66/0.99 tff(584,plain,
% 0.66/0.99 ($false),
% 0.66/0.99 inference(unit_resolution,[status(thm)],[250, 583, 581])).
% 0.66/0.99 tff(585,plain,((~p402(X!0)) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p201(X!0) | p501(X!0) | p505(X!0) | p502(X!0) | p401(X!0) | p404(X!0) | p601(X!0) | p301(X!0) | p302(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.66/0.99 tff(586,plain,
% 0.66/0.99 (~p402(X!0)),
% 0.66/0.99 inference(unit_resolution,[status(thm)],[585, 62, 97, 90, 127, 2, 229, 230, 61, 1, 125])).
% 0.66/0.99 tff(587,plain,
% 0.66/0.99 (p403(X!0)),
% 0.66/0.99 inference(unit_resolution,[status(thm)],[322, 586, 229, 230, 314])).
% 0.66/0.99 tff(588,plain,
% 0.66/0.99 (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))),
% 0.66/0.99 inference(unit_resolution,[status(thm)],[397, 587])).
% 0.66/0.99 tff(589,plain,
% 0.66/0.99 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.66/0.99 inference(unit_resolution,[status(thm)],[59, 588])).
% 0.66/0.99 tff(590,plain,
% 0.66/0.99 (~p603(X!0)),
% 0.66/0.99 inference(unit_resolution,[status(thm)],[544, 587])).
% 0.66/0.99 tff(591,plain,
% 0.66/0.99 (p602(X!0)),
% 0.66/0.99 inference(unit_resolution,[status(thm)],[507, 590, 90, 229, 230, 61, 421, 1, 125, 97])).
% 0.66/0.99 tff(592,plain,
% 0.66/0.99 (~p202(X!0)),
% 0.66/0.99 inference(unit_resolution,[status(thm)],[534, 591])).
% 0.66/0.99 tff(593,plain,
% 0.66/0.99 (~p503(X!0)),
% 0.66/0.99 inference(unit_resolution,[status(thm)],[341, 587])).
% 0.66/0.99 tff(594,plain,
% 0.66/0.99 (p504(X!0)),
% 0.66/0.99 inference(unit_resolution,[status(thm)],[134, 593, 90, 127, 62])).
% 0.66/0.99 tff(595,plain,
% 0.66/0.99 (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))),
% 0.66/0.99 inference(unit_resolution,[status(thm)],[479, 594])).
% 0.66/0.99 tff(596,plain,
% 0.66/0.99 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.66/0.99 inference(unit_resolution,[status(thm)],[250, 595])).
% 0.66/0.99 tff(597,plain,
% 0.66/0.99 ($false),
% 0.66/0.99 inference(unit_resolution,[status(thm)],[333, 596, 592, 2, 97, 589])).
% 0.66/0.99 tff(598,plain,(p502(X!0) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p201(X!0) | p501(X!0) | p401(X!0) | p404(X!0) | p601(X!0) | p301(X!0) | p302(X!0) | p505(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.66/0.99 tff(599,plain,
% 0.66/0.99 (p502(X!0)),
% 0.66/0.99 inference(unit_resolution,[status(thm)],[598, 580, 97, 90, 229, 230, 61, 1, 125, 578, 577])).
% 0.66/0.99 tff(600,plain,
% 0.66/0.99 (p403(X!0)),
% 0.66/0.99 inference(unit_resolution,[status(thm)],[392, 599, 1, 229, 230, 379, 253])).
% 0.66/0.99 tff(601,plain,
% 0.66/0.99 (~p602(X!0)),
% 0.66/0.99 inference(unit_resolution,[status(thm)],[559, 599])).
% 0.66/0.99 tff(602,plain,
% 0.66/0.99 (p603(X!0)),
% 0.66/0.99 inference(unit_resolution,[status(thm)],[507, 601, 90, 229, 230, 61, 421, 1, 125, 97])).
% 0.66/0.99 tff(603,plain,
% 0.66/0.99 ($false),
% 0.66/0.99 inference(unit_resolution,[status(thm)],[544, 602, 600])).
% 0.66/0.99 tff(604,plain,(![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | p501(X!0) | p401(X!0) | p404(X!0) | p601(X!0) | p301(X!0) | p302(X!0) | p201(X!0) | p303(X!0)), inference(lemma,lemma(discharge,[]))).
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% 0.66/0.99 tff(616,plain,
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tptp_fun_X_4(X!0))))))) | (~((~(p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0))))) | (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))))) | (~((~p604(X!0)) | (~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))))) | (~((~p504(X!0)) | (~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))))) | (~((~p404(X!0)) | (~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))))) | (~((~p604(X!0)) | (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))))) | (~((~p504(X!0)) | (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))))) | (~((~p404(X!0)) | (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))))) | (~((~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))) | (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))))) | (~((~p604(X!0)) | (~(p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0))))))) | (~((~p504(X!0)) | (~(p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0))))))) | (~((~p404(X!0)) | (~(p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0))))))) | (~((~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))) | (~(p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0))))))) | (~((~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))) | (~(p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0))))))) | (~((~p603(X!0)) | (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))))) | (~((~p503(X!0)) | (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))))) | (~((~p403(X!0)) | (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))))) | (~((~p303(X!0)) | (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))))) | (~((~p603(X!0)) | (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))))) | (~((~p503(X!0)) | (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))))) | (~((~p403(X!0)) | (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))))) | (~((~p303(X!0)) | (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))))) | (~((~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))) | (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))))) | (~((~p602(X!0)) | (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))))) | (~((~p502(X!0)) | (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))))) | (~((~p402(X!0)) | (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))))) | (~((~p302(X!0)) | (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))))) | (~((~p202(X!0)) | (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))))) | (~((~p202(X!0)) | (~p402(X!0)))) | (~((~p202(X!0)) | (~p502(X!0)))) | (~((~p202(X!0)) | (~p602(X!0)))) | (~((~p302(X!0)) | (~p402(X!0)))) | (~((~p302(X!0)) | (~p502(X!0)))) | (~((~p302(X!0)) | (~p602(X!0)))) | (~((~p402(X!0)) | (~p502(X!0)))) | (~((~p402(X!0)) | (~p602(X!0)))) | (~((~p502(X!0)) | (~p602(X!0)))) | (~((~p303(X!0)) | (~p503(X!0)))) | (~((~p303(X!0)) | (~p603(X!0)))) | (~((~p403(X!0)) | (~p503(X!0)))) | (~((~p403(X!0)) | (~p603(X!0)))) | (~((~p503(X!0)) | (~p603(X!0)))) | (~((~p404(X!0)) | (~p604(X!0)))) | (~((~p504(X!0)) | (~p604(X!0))))) | ((~p404(X!0)) | (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))))),
% 0.66/1.01 inference(tautology,[status(thm)],[])).
% 0.66/1.01 tff(641,plain,
% 0.66/1.01 ((~p404(X!0)) | (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0)))))),
% 0.66/1.01 inference(unit_resolution,[status(thm)],[640, 43])).
% 0.66/1.01 tff(642,plain,
% 0.66/1.01 ((~((~p404(X!0)) | (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))))) | (~p404(X!0)) | (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0)))))),
% 0.66/1.01 inference(tautology,[status(thm)],[])).
% 0.66/1.01 tff(643,plain,
% 0.66/1.01 ((~p404(X!0)) | (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0)))))),
% 0.66/1.01 inference(unit_resolution,[status(thm)],[642, 641])).
% 0.66/1.01 tff(644,plain,
% 0.66/1.01 (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))),
% 0.66/1.01 inference(unit_resolution,[status(thm)],[643, 623])).
% 0.66/1.01 tff(645,plain,
% 0.66/1.01 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.66/1.01 inference(unit_resolution,[status(thm)],[250, 644])).
% 0.66/1.01 tff(646,assumption,(p605(X!0)), introduced(assumption)).
% 0.66/1.01 tff(647,plain,
% 0.66/1.01 (~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))),
% 0.66/1.01 inference(unit_resolution,[status(thm)],[445, 646])).
% 0.66/1.01 tff(648,plain,
% 0.66/1.01 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.66/1.01 inference(unit_resolution,[status(thm)],[122, 647])).
% 0.66/1.01 tff(649,plain,
% 0.66/1.01 (~p505(X!0)),
% 0.66/1.01 inference(unit_resolution,[status(thm)],[463, 646])).
% 0.66/1.01 tff(650,plain,
% 0.66/1.01 (p503(X!0)),
% 0.66/1.01 inference(unit_resolution,[status(thm)],[134, 649, 90, 173, 62])).
% 0.66/1.01 tff(651,plain,
% 0.66/1.01 (~p303(X!0)),
% 0.66/1.01 inference(unit_resolution,[status(thm)],[162, 650])).
% 0.66/1.01 tff(652,plain,
% 0.66/1.01 ($false),
% 0.66/1.01 inference(unit_resolution,[status(thm)],[157, 651, 648, 1, 253, 125])).
% 0.66/1.01 tff(653,plain,((~p605(X!0)) | p301(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | p302(X!0) | p501(X!0) | p504(X!0) | p502(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.66/1.01 tff(654,plain,
% 0.66/1.01 (~p605(X!0)),
% 0.66/1.01 inference(unit_resolution,[status(thm)],[653, 62, 253, 125, 90, 173, 1])).
% 0.66/1.01 tff(655,plain,
% 0.66/1.01 (p505(X!0)),
% 0.66/1.01 inference(unit_resolution,[status(thm)],[134, 178, 90, 173, 62])).
% 0.66/1.01 tff(656,plain,
% 0.66/1.01 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.66/1.01 inference(unit_resolution,[status(thm)],[157, 171, 1, 253, 125])).
% 0.66/1.01 tff(657,plain,
% 0.66/1.01 (p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0)))),
% 0.66/1.01 inference(unit_resolution,[status(thm)],[122, 656])).
% 0.66/1.01 tff(658,plain,
% 0.66/1.01 ($false),
% 0.66/1.01 inference(unit_resolution,[status(thm)],[304, 657, 655])).
% 0.66/1.01 tff(659,plain,((~p603(X!0)) | p501(X!0) | p504(X!0) | p502(X!0) | p301(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | p302(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.66/1.01 tff(660,plain,
% 0.66/1.01 (~p603(X!0)),
% 0.66/1.01 inference(unit_resolution,[status(thm)],[659, 62, 173, 90, 1, 253, 125])).
% 0.66/1.01 tff(661,plain,
% 0.66/1.01 (p602(X!0)),
% 0.66/1.01 inference(unit_resolution,[status(thm)],[440, 660, 61, 3, 654])).
% 0.66/1.01 tff(662,plain,
% 0.66/1.01 (~p202(X!0)),
% 0.66/1.01 inference(unit_resolution,[status(thm)],[534, 661])).
% 0.66/1.01 tff(663,assumption,(~p202(X!0)), introduced(assumption)).
% 0.66/1.01 tff(664,plain,
% 0.66/1.01 (![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.66/1.01 inference(unit_resolution,[status(thm)],[333, 300, 252, 97, 663])).
% 0.66/1.01 tff(665,plain,
% 0.66/1.01 ($false),
% 0.66/1.01 inference(unit_resolution,[status(thm)],[59, 312, 664])).
% 0.66/1.01 tff(666,plain,((~p505(X!0)) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | p201(X!0) | p202(X!0) | p301(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | p302(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.66/1.01 tff(667,plain,
% 0.66/1.01 (~p505(X!0)),
% 0.66/1.01 inference(unit_resolution,[status(thm)],[666, 662, 97, 252, 1, 253, 125])).
% 0.66/1.01 tff(668,plain,
% 0.66/1.01 (p503(X!0)),
% 0.66/1.01 inference(unit_resolution,[status(thm)],[134, 667, 90, 173, 62])).
% 0.66/1.01 tff(669,plain,
% 0.66/1.01 (~p303(X!0)),
% 0.66/1.01 inference(unit_resolution,[status(thm)],[162, 668])).
% 0.66/1.01 tff(670,plain,
% 0.66/1.01 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.66/1.01 inference(unit_resolution,[status(thm)],[157, 669, 1, 253, 125])).
% 0.66/1.01 tff(671,plain,
% 0.66/1.01 (p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0)))),
% 0.66/1.01 inference(unit_resolution,[status(thm)],[122, 670])).
% 0.66/1.01 tff(672,plain,
% 0.66/1.01 (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))),
% 0.66/1.01 inference(unit_resolution,[status(thm)],[357, 668])).
% 0.66/1.01 tff(673,plain,
% 0.66/1.01 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.66/1.01 inference(unit_resolution,[status(thm)],[59, 672])).
% 0.66/1.01 tff(674,plain,
% 0.66/1.01 (![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.66/1.01 inference(unit_resolution,[status(thm)],[333, 673, 252, 97, 662])).
% 0.66/1.01 tff(675,plain,
% 0.66/1.01 (p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0)))),
% 0.66/1.01 inference(unit_resolution,[status(thm)],[299, 674])).
% 0.66/1.01 tff(676,plain,
% 0.66/1.01 ($false),
% 0.66/1.01 inference(unit_resolution,[status(thm)],[367, 675, 671])).
% 0.66/1.01 tff(677,plain,(p502(X!0) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | p201(X!0) | p301(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | p302(X!0) | p501(X!0) | p504(X!0) | p601(X!0) | p604(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.66/1.01 tff(678,plain,
% 0.66/1.01 (p502(X!0)),
% 0.66/1.01 inference(unit_resolution,[status(thm)],[677, 645, 97, 1, 639, 125, 90, 633, 61, 628])).
% 0.66/1.01 tff(679,plain,
% 0.66/1.01 (~p202(X!0)),
% 0.66/1.01 inference(unit_resolution,[status(thm)],[375, 678])).
% 0.66/1.01 tff(680,plain,
% 0.66/1.01 (~p602(X!0)),
% 0.66/1.01 inference(unit_resolution,[status(thm)],[559, 678])).
% 0.66/1.01 tff(681,assumption,(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0)))), introduced(assumption)).
% 0.66/1.01 tff(682,plain,
% 0.66/1.01 (~p605(X!0)),
% 0.66/1.01 inference(unit_resolution,[status(thm)],[445, 681])).
% 0.66/1.01 tff(683,plain,
% 0.66/1.01 (p603(X!0)),
% 0.66/1.01 inference(unit_resolution,[status(thm)],[440, 682, 61, 3, 439])).
% 0.66/1.01 tff(684,plain,
% 0.66/1.01 (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))),
% 0.66/1.01 inference(unit_resolution,[status(thm)],[512, 683])).
% 0.66/1.01 tff(685,plain,
% 0.66/1.01 (~(p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0))))),
% 0.66/1.01 inference(unit_resolution,[status(thm)],[367, 681])).
% 0.66/1.01 tff(686,plain,
% 0.66/1.01 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.66/1.01 inference(unit_resolution,[status(thm)],[299, 685])).
% 0.66/1.01 tff(687,plain,
% 0.66/1.01 (![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.66/1.01 inference(unit_resolution,[status(thm)],[333, 686, 252, 97, 663])).
% 0.66/1.01 tff(688,plain,
% 0.66/1.01 ($false),
% 0.66/1.01 inference(unit_resolution,[status(thm)],[59, 687, 684])).
% 0.66/1.01 tff(689,plain,((~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | p201(X!0) | p202(X!0) | p601(X!0) | p604(X!0) | p602(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.66/1.01 tff(690,plain,
% 0.66/1.01 (~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))),
% 0.66/1.01 inference(unit_resolution,[status(thm)],[689, 645, 97, 679, 61, 628, 680])).
% 0.66/1.01 tff(691,plain,
% 0.66/1.01 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.66/1.01 inference(unit_resolution,[status(thm)],[122, 690])).
% 0.66/1.01 tff(692,plain,
% 0.66/1.01 (p303(X!0)),
% 0.66/1.01 inference(unit_resolution,[status(thm)],[157, 691, 1, 639, 125])).
% 0.66/1.01 tff(693,plain,
% 0.66/1.01 (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))),
% 0.66/1.01 inference(unit_resolution,[status(thm)],[311, 692])).
% 0.66/1.01 tff(694,plain,
% 0.66/1.01 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.66/1.01 inference(unit_resolution,[status(thm)],[59, 693])).
% 0.66/1.01 tff(695,plain,
% 0.66/1.01 (![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.66/1.01 inference(unit_resolution,[status(thm)],[333, 694, 645, 97, 679])).
% 0.66/1.01 tff(696,plain,
% 0.66/1.01 (~p603(X!0)),
% 0.66/1.01 inference(unit_resolution,[status(thm)],[170, 692])).
% 0.66/1.01 tff(697,plain,
% 0.66/1.01 (p605(X!0)),
% 0.66/1.01 inference(unit_resolution,[status(thm)],[440, 696, 61, 628, 680])).
% 0.66/1.01 tff(698,plain,
% 0.66/1.01 (~(p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0))))),
% 0.66/1.01 inference(unit_resolution,[status(thm)],[457, 697])).
% 0.66/1.01 tff(699,plain,
% 0.66/1.01 ($false),
% 0.66/1.01 inference(unit_resolution,[status(thm)],[299, 698, 695])).
% 0.66/1.01 tff(700,plain,(p302(X!0) | p201(X!0) | p601(X!0) | p301(X!0) | p501(X!0) | p401(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.66/1.01 tff(701,plain,
% 0.66/1.01 (p302(X!0)),
% 0.66/1.01 inference(unit_resolution,[status(thm)],[700, 228, 223, 218, 213, 208])).
% 0.66/1.01 tff(702,plain,
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% 0.66/1.01 inference(tautology,[status(thm)],[])).
% 0.66/1.01 tff(703,plain,
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% 0.66/1.01 inference(unit_resolution,[status(thm)],[702, 43])).
% 0.66/1.01 tff(704,plain,
% 0.66/1.01 ((~((~p302(X!0)) | (~p402(X!0)))) | (~p302(X!0)) | (~p402(X!0))),
% 0.66/1.01 inference(tautology,[status(thm)],[])).
% 0.66/1.01 tff(705,plain,
% 0.66/1.01 ((~p302(X!0)) | (~p402(X!0))),
% 0.66/1.01 inference(unit_resolution,[status(thm)],[704, 703])).
% 0.66/1.01 tff(706,plain,
% 0.66/1.01 (~p402(X!0)),
% 0.66/1.01 inference(unit_resolution,[status(thm)],[705, 701])).
% 0.66/1.01 tff(707,plain,
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% 0.66/1.02 inference(tautology,[status(thm)],[])).
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% 0.66/1.02 inference(unit_resolution,[status(thm)],[710, 701])).
% 0.66/1.02 tff(712,plain,
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(~r1(X!0, tptp_fun_X_8(X!0))))) | (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))))) | (~((~p602(X!0)) | (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))))) | (~((~p502(X!0)) | (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))))) | (~((~p402(X!0)) | (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))))) | (~((~p302(X!0)) | (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))))) | (~((~p202(X!0)) | (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))))) | (~((~p202(X!0)) | (~p402(X!0)))) | (~((~p202(X!0)) | (~p502(X!0)))) | (~((~p202(X!0)) | (~p602(X!0)))) | (~((~p302(X!0)) | (~p402(X!0)))) | (~((~p302(X!0)) | (~p502(X!0)))) | (~((~p302(X!0)) | (~p602(X!0)))) | (~((~p402(X!0)) | (~p502(X!0)))) | (~((~p402(X!0)) | (~p602(X!0)))) | (~((~p502(X!0)) | (~p602(X!0)))) | (~((~p303(X!0)) | (~p503(X!0)))) | (~((~p303(X!0)) | (~p603(X!0)))) | (~((~p403(X!0)) | (~p503(X!0)))) | (~((~p403(X!0)) | (~p603(X!0)))) | (~((~p503(X!0)) | 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% 0.66/1.02 inference(tautology,[status(thm)],[])).
% 0.66/1.02 tff(713,plain,
% 0.66/1.02 ((~p302(X!0)) | (~p602(X!0))),
% 0.66/1.02 inference(unit_resolution,[status(thm)],[712, 43])).
% 0.66/1.02 tff(714,plain,
% 0.66/1.02 ((~((~p302(X!0)) | (~p602(X!0)))) | (~p302(X!0)) | (~p602(X!0))),
% 0.66/1.02 inference(tautology,[status(thm)],[])).
% 0.66/1.02 tff(715,plain,
% 0.66/1.02 ((~p302(X!0)) | (~p602(X!0))),
% 0.66/1.02 inference(unit_resolution,[status(thm)],[714, 713])).
% 0.66/1.02 tff(716,plain,
% 0.66/1.02 (~p602(X!0)),
% 0.66/1.02 inference(unit_resolution,[status(thm)],[715, 701])).
% 0.66/1.02 tff(717,plain,
% 0.66/1.02 (~p502(X!0)),
% 0.66/1.02 inference(unit_resolution,[status(thm)],[383, 701])).
% 0.66/1.02 tff(718,plain,
% 0.66/1.02 (~p503(X!0)),
% 0.66/1.02 inference(unit_resolution,[status(thm)],[499, 3, 229, 61, 230, 439, 495])).
% 0.66/1.02 tff(719,plain,
% 0.66/1.02 (p505(X!0)),
% 0.66/1.02 inference(unit_resolution,[status(thm)],[134, 718, 90, 62, 173])).
% 0.66/1.02 tff(720,plain,
% 0.66/1.02 (~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))),
% 0.66/1.02 inference(unit_resolution,[status(thm)],[264, 719])).
% 0.66/1.02 tff(721,plain,
% 0.66/1.02 (~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.66/1.02 inference(unit_resolution,[status(thm)],[281, 720])).
% 0.66/1.02 tff(722,plain,
% 0.66/1.02 (~p605(X!0)),
% 0.66/1.02 inference(unit_resolution,[status(thm)],[463, 719])).
% 0.66/1.02 tff(723,plain,
% 0.66/1.02 (p603(X!0)),
% 0.66/1.02 inference(unit_resolution,[status(thm)],[440, 722, 61, 3, 439])).
% 0.66/1.02 tff(724,plain,
% 0.66/1.02 (~p403(X!0)),
% 0.66/1.02 inference(unit_resolution,[status(thm)],[544, 723])).
% 0.66/1.02 tff(725,plain,
% 0.66/1.02 ($false),
% 0.66/1.02 inference(unit_resolution,[status(thm)],[322, 724, 721, 229, 495, 230])).
% 0.66/1.02 tff(726,plain,(p604(X!0) | p401(X!0) | p402(X!0) | p404(X!0) | p601(X!0) | p602(X!0) | p501(X!0) | p502(X!0) | p504(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.66/1.02 tff(727,plain,
% 0.66/1.02 (p604(X!0)),
% 0.66/1.02 inference(unit_resolution,[status(thm)],[726, 230, 495, 229, 61, 439, 90, 62, 173])).
% 0.66/1.02 tff(728,plain,
% 0.66/1.02 (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))),
% 0.66/1.02 inference(unit_resolution,[status(thm)],[234, 727])).
% 0.66/1.02 tff(729,plain,
% 0.66/1.02 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.66/1.02 inference(unit_resolution,[status(thm)],[250, 728])).
% 0.66/1.02 tff(730,plain,
% 0.66/1.02 (![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.66/1.02 inference(unit_resolution,[status(thm)],[322, 496, 229, 495, 230])).
% 0.66/1.02 tff(731,plain,
% 0.66/1.02 (p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0)))),
% 0.66/1.02 inference(unit_resolution,[status(thm)],[281, 730])).
% 0.66/1.02 tff(732,plain,
% 0.66/1.02 (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))),
% 0.66/1.02 inference(unit_resolution,[status(thm)],[357, 489])).
% 0.66/1.02 tff(733,plain,
% 0.66/1.02 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.66/1.02 inference(unit_resolution,[status(thm)],[59, 732])).
% 0.66/1.02 tff(734,plain,
% 0.66/1.02 (![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.66/1.02 inference(unit_resolution,[status(thm)],[333, 733, 252, 97, 663])).
% 0.66/1.02 tff(735,plain,
% 0.66/1.02 (p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0)))),
% 0.66/1.02 inference(unit_resolution,[status(thm)],[299, 734])).
% 0.66/1.02 tff(736,plain,
% 0.66/1.02 ($false),
% 0.66/1.02 inference(unit_resolution,[status(thm)],[417, 735, 731])).
% 0.66/1.02 tff(737,plain,((~p503(X!0)) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | p201(X!0) | p202(X!0) | p401(X!0) | p402(X!0) | p404(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.66/1.02 tff(738,plain,
% 0.66/1.02 (~p503(X!0)),
% 0.66/1.02 inference(unit_resolution,[status(thm)],[737, 729, 97, 663, 229, 495, 230])).
% 0.66/1.02 tff(739,plain,
% 0.66/1.02 (p505(X!0)),
% 0.66/1.02 inference(unit_resolution,[status(thm)],[134, 738, 90, 62, 173])).
% 0.66/1.02 tff(740,plain,
% 0.66/1.02 (~(p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0))))),
% 0.66/1.02 inference(unit_resolution,[status(thm)],[287, 739])).
% 0.66/1.02 tff(741,plain,
% 0.66/1.02 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.66/1.02 inference(unit_resolution,[status(thm)],[299, 740])).
% 0.66/1.02 tff(742,plain,
% 0.66/1.02 (![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.66/1.02 inference(unit_resolution,[status(thm)],[333, 741, 729, 97, 663])).
% 0.66/1.02 tff(743,plain,
% 0.66/1.02 (~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))),
% 0.66/1.02 inference(unit_resolution,[status(thm)],[264, 739])).
% 0.66/1.02 tff(744,plain,
% 0.66/1.02 (~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.66/1.02 inference(unit_resolution,[status(thm)],[281, 743])).
% 0.66/1.02 tff(745,plain,
% 0.66/1.02 (p403(X!0)),
% 0.66/1.02 inference(unit_resolution,[status(thm)],[322, 744, 229, 495, 230])).
% 0.66/1.02 tff(746,plain,
% 0.66/1.02 (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))),
% 0.66/1.02 inference(unit_resolution,[status(thm)],[397, 745])).
% 0.66/1.02 tff(747,plain,
% 0.66/1.02 ($false),
% 0.66/1.02 inference(unit_resolution,[status(thm)],[59, 746, 742])).
% 0.66/1.02 tff(748,plain,(p404(X!0) | p201(X!0) | p202(X!0) | p401(X!0) | p402(X!0) | p501(X!0) | p502(X!0) | p504(X!0) | p601(X!0) | p602(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.66/1.02 tff(749,plain,
% 0.66/1.02 (p404(X!0)),
% 0.66/1.02 inference(unit_resolution,[status(thm)],[748, 173, 663, 229, 495, 90, 62, 97, 61, 439])).
% 0.66/1.02 tff(750,plain,
% 0.66/1.02 (~p604(X!0)),
% 0.66/1.02 inference(unit_resolution,[status(thm)],[627, 749])).
% 0.66/1.02 tff(751,plain,
% 0.66/1.02 (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))),
% 0.66/1.02 inference(unit_resolution,[status(thm)],[643, 749])).
% 0.66/1.02 tff(752,plain,
% 0.66/1.02 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.66/1.02 inference(unit_resolution,[status(thm)],[250, 751])).
% 0.66/1.02 tff(753,assumption,(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0)))), introduced(assumption)).
% 0.66/1.02 tff(754,plain,
% 0.66/1.02 (~p603(X!0)),
% 0.66/1.02 inference(unit_resolution,[status(thm)],[512, 753])).
% 0.66/1.02 tff(755,plain,
% 0.66/1.02 (p605(X!0)),
% 0.66/1.02 inference(unit_resolution,[status(thm)],[440, 754, 61, 3, 439])).
% 0.66/1.02 tff(756,plain,
% 0.66/1.02 (~p503(X!0)),
% 0.66/1.02 inference(unit_resolution,[status(thm)],[357, 753])).
% 0.66/1.02 tff(757,plain,
% 0.66/1.02 (p505(X!0)),
% 0.66/1.02 inference(unit_resolution,[status(thm)],[134, 756, 90, 62, 173])).
% 0.66/1.02 tff(758,plain,
% 0.66/1.02 ($false),
% 0.66/1.02 inference(unit_resolution,[status(thm)],[463, 757, 755])).
% 0.66/1.02 tff(759,plain,((~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))) | p501(X!0) | p502(X!0) | p504(X!0) | p601(X!0) | p604(X!0) | p602(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.66/1.02 tff(760,plain,
% 0.66/1.02 (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))),
% 0.66/1.02 inference(unit_resolution,[status(thm)],[759, 173, 62, 90, 61, 750, 439])).
% 0.66/1.02 tff(761,plain,
% 0.66/1.02 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.66/1.02 inference(unit_resolution,[status(thm)],[59, 760])).
% 0.66/1.02 tff(762,plain,
% 0.66/1.02 (![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.66/1.02 inference(unit_resolution,[status(thm)],[333, 761, 752, 97, 663])).
% 0.66/1.02 tff(763,plain,
% 0.66/1.02 (p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0)))),
% 0.66/1.02 inference(unit_resolution,[status(thm)],[299, 762])).
% 0.66/1.02 tff(764,plain,
% 0.66/1.02 (~p605(X!0)),
% 0.66/1.02 inference(unit_resolution,[status(thm)],[457, 763])).
% 0.66/1.02 tff(765,plain,
% 0.66/1.02 (p603(X!0)),
% 0.66/1.02 inference(unit_resolution,[status(thm)],[440, 764, 61, 750, 439])).
% 0.66/1.02 tff(766,plain,
% 0.66/1.02 (~p505(X!0)),
% 0.66/1.02 inference(unit_resolution,[status(thm)],[287, 763])).
% 0.66/1.02 tff(767,plain,
% 0.66/1.02 (p503(X!0)),
% 0.66/1.02 inference(unit_resolution,[status(thm)],[134, 766, 90, 62, 173])).
% 0.66/1.02 tff(768,plain,
% 0.66/1.02 ($false),
% 0.66/1.02 inference(unit_resolution,[status(thm)],[177, 767, 765])).
% 0.66/1.02 tff(769,plain,(p504(X!0) | p501(X!0) | p502(X!0) | p601(X!0) | p602(X!0) | p201(X!0) | p202(X!0) | p401(X!0) | p402(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.66/1.02 tff(770,plain,
% 0.66/1.02 (p504(X!0)),
% 0.66/1.02 inference(unit_resolution,[status(thm)],[769, 213, 717, 223, 716, 228, 711, 208, 706])).
% 0.66/1.02 tff(771,plain,
% 0.66/1.02 (~p404(X!0)),
% 0.66/1.02 inference(unit_resolution,[status(thm)],[632, 770])).
% 0.66/1.02 tff(772,plain,
% 0.66/1.02 (~p604(X!0)),
% 0.66/1.02 inference(unit_resolution,[status(thm)],[132, 770])).
% 0.66/1.02 tff(773,plain,
% 0.66/1.02 (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))),
% 0.66/1.02 inference(unit_resolution,[status(thm)],[479, 770])).
% 0.66/1.02 tff(774,plain,
% 0.66/1.02 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.66/1.02 inference(unit_resolution,[status(thm)],[250, 773])).
% 0.66/1.02 tff(775,plain,
% 0.66/1.02 (~(p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0))))),
% 0.66/1.02 inference(unit_resolution,[status(thm)],[457, 646])).
% 0.66/1.02 tff(776,plain,
% 0.66/1.02 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.66/1.02 inference(unit_resolution,[status(thm)],[299, 775])).
% 0.66/1.02 tff(777,plain,
% 0.66/1.02 (![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.66/1.02 inference(unit_resolution,[status(thm)],[333, 776, 252, 97, 663])).
% 0.66/1.02 tff(778,plain,
% 0.66/1.02 (~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))),
% 0.66/1.02 inference(unit_resolution,[status(thm)],[451, 646])).
% 0.66/1.02 tff(779,plain,
% 0.66/1.02 (~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.66/1.02 inference(unit_resolution,[status(thm)],[281, 778])).
% 0.66/1.02 tff(780,plain,
% 0.66/1.02 (p403(X!0)),
% 0.66/1.02 inference(unit_resolution,[status(thm)],[322, 779, 229, 495, 230])).
% 0.79/1.03 tff(781,plain,
% 0.79/1.03 (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))),
% 0.79/1.03 inference(unit_resolution,[status(thm)],[397, 780])).
% 0.79/1.03 tff(782,plain,
% 0.79/1.03 ($false),
% 0.79/1.03 inference(unit_resolution,[status(thm)],[59, 781, 777])).
% 0.79/1.03 tff(783,plain,((~p605(X!0)) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | p201(X!0) | p202(X!0) | p401(X!0) | p402(X!0) | p404(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.79/1.03 tff(784,plain,
% 0.79/1.03 (~p605(X!0)),
% 0.79/1.03 inference(unit_resolution,[status(thm)],[783, 774, 228, 711, 208, 706, 771])).
% 0.79/1.03 tff(785,plain,
% 0.79/1.03 (p603(X!0)),
% 0.79/1.03 inference(unit_resolution,[status(thm)],[440, 784, 223, 772, 716])).
% 0.79/1.03 tff(786,plain,
% 0.79/1.03 (~p403(X!0)),
% 0.79/1.03 inference(unit_resolution,[status(thm)],[544, 785])).
% 0.79/1.03 tff(787,plain,
% 0.79/1.03 (![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.79/1.03 inference(unit_resolution,[status(thm)],[322, 786, 208, 706, 771])).
% 0.79/1.03 tff(788,plain,
% 0.79/1.03 (p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0)))),
% 0.79/1.03 inference(unit_resolution,[status(thm)],[281, 787])).
% 0.79/1.03 tff(789,plain,
% 0.79/1.03 (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))),
% 0.79/1.03 inference(unit_resolution,[status(thm)],[512, 785])).
% 0.79/1.03 tff(790,plain,
% 0.79/1.03 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.79/1.03 inference(unit_resolution,[status(thm)],[59, 789])).
% 0.79/1.03 tff(791,plain,
% 0.79/1.03 (![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.79/1.03 inference(unit_resolution,[status(thm)],[333, 790, 774, 228, 711])).
% 0.79/1.03 tff(792,plain,
% 0.79/1.03 (p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0)))),
% 0.79/1.03 inference(unit_resolution,[status(thm)],[299, 791])).
% 0.79/1.03 tff(793,plain,
% 0.79/1.03 ($false),
% 0.79/1.03 inference(unit_resolution,[status(thm)],[417, 792, 788])).
% 0.79/1.03 tff(794,plain,(~p101(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.79/1.03 tff(795,assumption,(~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))), introduced(assumption)).
% 0.79/1.03 tff(796,assumption,(~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))), introduced(assumption)).
% 0.79/1.03 tff(797,assumption,(~p101(X!0)), introduced(assumption)).
% 0.79/1.03 tff(798,plain,
% 0.79/1.03 (((~((~p201(X!0)) | (~p301(X!0)))) | (~((~p201(X!0)) | (~p601(X!0)))) | (~((~p301(X!0)) | (~p401(X!0)))) | (~((~p301(X!0)) | (~p501(X!0)))) | (~((~p301(X!0)) | (~p601(X!0)))) | (~((~p401(X!0)) | (~p501(X!0)))) | (~((~p401(X!0)) | (~p601(X!0)))) | (~((~p501(X!0)) | (~p601(X!0)))) | (~((~p302(X!0)) | (~p202(X!0)))) | (~((~p101(X!0)) | (~p401(X!0)))) | (~((~p101(X!0)) | (~p501(X!0)))) | (~((~p101(X!0)) | (~p301(X!0)))) | (~((~p101(X!0)) | (~p601(X!0)))) | (~((~p201(X!0)) | (~p401(X!0)))) | (~((~p403(X!0)) | (~p303(X!0)))) | (~((~p201(X!0)) | (~p501(X!0)))) | (~((~p101(X!0)) | (~p201(X!0)))) | (~((~p504(X!0)) | (~p404(X!0)))) | (~((~p605(X!0)) | (~p505(X!0)))) | (~((~p605(X!0)) | (~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))))) | (~((~p505(X!0)) | (~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))))) | (~((~p505(X!0)) | (~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))))) | (~((~p605(X!0)) | (~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))))) | (~((~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))) | (~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))))) | (~((~p605(X!0)) | (~(p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0))))))) | (~((~p505(X!0)) | (~(p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0))))))) | (~((~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))) | (~(p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0))))))) | (~((~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))) | (~(p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0))))))) | (~((~p605(X!0)) | (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))))) | (~((~p505(X!0)) | (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))))) | (~((~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))) | (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))))) | (~((~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))) | (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))))) | (~((~(p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0))))) | (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))))) | (~((~p604(X!0)) | (~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))))) | (~((~p504(X!0)) | (~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))))) | (~((~p404(X!0)) | (~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))))) | (~((~p604(X!0)) | (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))))) | (~((~p504(X!0)) | (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))))) | (~((~p404(X!0)) | (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))))) | (~((~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))) | (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))))) | (~((~p604(X!0)) | (~(p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0))))))) | (~((~p504(X!0)) | (~(p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0))))))) | (~((~p404(X!0)) | (~(p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0))))))) | (~((~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))) | (~(p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0))))))) | (~((~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))) | (~(p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0))))))) | (~((~p603(X!0)) | (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))))) | (~((~p503(X!0)) | (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))))) | (~((~p403(X!0)) | (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))))) | (~((~p303(X!0)) | (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))))) | (~((~p603(X!0)) | (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))))) | (~((~p503(X!0)) | (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))))) | (~((~p403(X!0)) | (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))))) | (~((~p303(X!0)) | (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))))) | (~((~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))) | (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))))) | (~((~p602(X!0)) | (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))))) | (~((~p502(X!0)) | (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))))) | (~((~p402(X!0)) | (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))))) | (~((~p302(X!0)) | (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))))) | (~((~p202(X!0)) | (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))))) | (~((~p202(X!0)) | (~p402(X!0)))) | (~((~p202(X!0)) | (~p502(X!0)))) | (~((~p202(X!0)) | (~p602(X!0)))) | (~((~p302(X!0)) | (~p402(X!0)))) | (~((~p302(X!0)) | (~p502(X!0)))) | (~((~p302(X!0)) | (~p602(X!0)))) | (~((~p402(X!0)) | (~p502(X!0)))) | (~((~p402(X!0)) | (~p602(X!0)))) | (~((~p502(X!0)) | (~p602(X!0)))) | (~((~p303(X!0)) | (~p503(X!0)))) | (~((~p303(X!0)) | (~p603(X!0)))) | (~((~p403(X!0)) | (~p503(X!0)))) | (~((~p403(X!0)) | (~p603(X!0)))) | (~((~p503(X!0)) | (~p603(X!0)))) | (~((~p404(X!0)) | (~p604(X!0)))) | (~((~p504(X!0)) | (~p604(X!0))))) | ((~p502(X!0)) | (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))))),
% 0.79/1.03 inference(tautology,[status(thm)],[])).
% 0.79/1.03 tff(799,plain,
% 0.79/1.03 ((~p502(X!0)) | (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0)))))),
% 0.79/1.03 inference(unit_resolution,[status(thm)],[798, 43])).
% 0.79/1.03 tff(800,plain,
% 0.79/1.03 ((~((~p502(X!0)) | (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))))) | (~p502(X!0)) | (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0)))))),
% 0.79/1.03 inference(tautology,[status(thm)],[])).
% 0.79/1.03 tff(801,plain,
% 0.79/1.03 ((~p502(X!0)) | (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0)))))),
% 0.79/1.03 inference(unit_resolution,[status(thm)],[800, 799])).
% 0.79/1.03 tff(802,plain,
% 0.79/1.03 (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))),
% 0.79/1.03 inference(unit_resolution,[status(thm)],[801, 377])).
% 0.79/1.03 tff(803,assumption,(~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))), introduced(assumption)).
% 0.79/1.03 tff(804,plain,
% 0.79/1.03 ((p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0)))) | r1(X!0, tptp_fun_X_10(X!0))),
% 0.79/1.03 inference(tautology,[status(thm)],[])).
% 0.79/1.03 tff(805,plain,
% 0.79/1.03 (r1(X!0, tptp_fun_X_10(X!0))),
% 0.79/1.03 inference(unit_resolution,[status(thm)],[804, 803])).
% 0.79/1.03 tff(806,plain,
% 0.79/1.03 ((p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0)))) | (~p102(tptp_fun_X_10(X!0)))),
% 0.79/1.03 inference(tautology,[status(thm)],[])).
% 0.79/1.03 tff(807,plain,
% 0.79/1.03 (~p102(tptp_fun_X_10(X!0))),
% 0.79/1.03 inference(unit_resolution,[status(thm)],[806, 803])).
% 0.79/1.03 tff(808,assumption,(![Y: $i] : (p102(Y) | (~r1(X!0, Y)))), introduced(assumption)).
% 0.79/1.03 tff(809,plain,
% 0.79/1.03 (((~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))) | (p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))) <=> ((~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))) | p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))),
% 0.79/1.03 inference(rewrite,[status(thm)],[])).
% 0.79/1.03 tff(810,plain,
% 0.79/1.03 ((~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))) | (p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))),
% 0.79/1.03 inference(quant_inst,[status(thm)],[])).
% 0.79/1.03 tff(811,plain,
% 0.79/1.03 ((~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))) | p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0)))),
% 0.79/1.03 inference(modus_ponens,[status(thm)],[810, 809])).
% 0.79/1.03 tff(812,plain,
% 0.79/1.03 ($false),
% 0.79/1.03 inference(unit_resolution,[status(thm)],[811, 808, 807, 805])).
% 0.79/1.03 tff(813,plain,((p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0)))) | (~![Y: $i] : (p102(Y) | (~r1(X!0, Y))))), inference(lemma,lemma(discharge,[]))).
% 0.79/1.03 tff(814,plain,
% 0.79/1.03 (~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 0.79/1.03 inference(unit_resolution,[status(thm)],[813, 802])).
% 0.79/1.03 tff(815,plain,
% 0.79/1.03 ((p101(X!0) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y)))) <=> (p101(X!0) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y))))),
% 0.79/1.03 inference(rewrite,[status(thm)],[])).
% 0.79/1.03 tff(816,plain,
% 0.79/1.03 (p101(X!0) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.79/1.03 inference(and_elim,[status(thm)],[33])).
% 0.79/1.03 tff(817,plain,
% 0.79/1.03 (p101(X!0) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p102(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.79/1.03 inference(modus_ponens,[status(thm)],[816, 815])).
% 0.79/1.03 tff(818,plain,
% 0.79/1.03 (![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.79/1.03 inference(unit_resolution,[status(thm)],[817, 814, 795, 796, 797])).
% 0.79/1.03 tff(819,assumption,(~(p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0))))), introduced(assumption)).
% 0.79/1.03 tff(820,plain,
% 0.79/1.03 ((p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0)))) | r1(X!0, tptp_fun_X_7(X!0))),
% 0.79/1.03 inference(tautology,[status(thm)],[])).
% 0.79/1.03 tff(821,plain,
% 0.79/1.03 (r1(X!0, tptp_fun_X_7(X!0))),
% 0.79/1.03 inference(unit_resolution,[status(thm)],[820, 819])).
% 0.79/1.03 tff(822,plain,
% 0.79/1.03 ((p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0)))) | (~p104(tptp_fun_X_7(X!0)))),
% 0.79/1.03 inference(tautology,[status(thm)],[])).
% 0.79/1.03 tff(823,plain,
% 0.79/1.03 (~p104(tptp_fun_X_7(X!0))),
% 0.79/1.03 inference(unit_resolution,[status(thm)],[822, 819])).
% 0.79/1.03 tff(824,assumption,(![Y: $i] : (p104(Y) | (~r1(X!0, Y)))), introduced(assumption)).
% 0.79/1.03 tff(825,plain,
% 0.79/1.03 (((~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))) | (p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0))))) <=> ((~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))) | p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0))))),
% 0.79/1.03 inference(rewrite,[status(thm)],[])).
% 0.79/1.03 tff(826,plain,
% 0.79/1.03 ((~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))) | (p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0))))),
% 0.79/1.03 inference(quant_inst,[status(thm)],[])).
% 0.79/1.03 tff(827,plain,
% 0.79/1.03 ((~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))) | p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0)))),
% 0.79/1.03 inference(modus_ponens,[status(thm)],[826, 825])).
% 0.79/1.03 tff(828,plain,
% 0.79/1.03 ($false),
% 0.79/1.03 inference(unit_resolution,[status(thm)],[827, 824, 823, 821])).
% 0.79/1.03 tff(829,plain,((p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0)))) | (~![Y: $i] : (p104(Y) | (~r1(X!0, Y))))), inference(lemma,lemma(discharge,[]))).
% 0.79/1.03 tff(830,plain,
% 0.79/1.03 (p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0)))),
% 0.79/1.03 inference(unit_resolution,[status(thm)],[829, 818])).
% 0.79/1.03 tff(831,plain,
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% 0.79/1.04 inference(tautology,[status(thm)],[])).
% 0.79/1.04 tff(832,plain,
% 0.79/1.04 ((~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))) | (~(p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0)))))),
% 0.79/1.04 inference(unit_resolution,[status(thm)],[831, 43])).
% 0.79/1.04 tff(833,plain,
% 0.79/1.04 ((~((~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))) | (~(p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0))))))) | (~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))) | (~(p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0)))))),
% 0.79/1.04 inference(tautology,[status(thm)],[])).
% 0.79/1.04 tff(834,plain,
% 0.79/1.04 ((~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))) | (~(p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0)))))),
% 0.79/1.04 inference(unit_resolution,[status(thm)],[833, 832])).
% 0.79/1.04 tff(835,plain,
% 0.79/1.04 (~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))),
% 0.79/1.04 inference(unit_resolution,[status(thm)],[834, 830])).
% 0.79/1.04 tff(836,plain,
% 0.79/1.04 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.79/1.04 inference(unit_resolution,[status(thm)],[151, 835])).
% 0.79/1.04 tff(837,plain,
% 0.79/1.04 (~p403(X!0)),
% 0.79/1.04 inference(unit_resolution,[status(thm)],[397, 753])).
% 0.79/1.04 tff(838,plain,
% 0.79/1.04 (~p303(X!0)),
% 0.79/1.04 inference(unit_resolution,[status(thm)],[311, 753])).
% 0.79/1.04 tff(839,assumption,(~p503(X!0)), introduced(assumption)).
% 0.79/1.04 tff(840,assumption,(p601(X!0)), introduced(assumption)).
% 0.79/1.04 tff(841,plain,
% 0.79/1.04 (~p401(X!0)),
% 0.79/1.04 inference(unit_resolution,[status(thm)],[78, 840])).
% 0.79/1.04 tff(842,plain,
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% 0.79/1.05 inference(unit_resolution,[status(thm)],[151, 862])).
% 0.79/1.05 tff(864,plain,
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% 0.79/1.05 inference(tautology,[status(thm)],[])).
% 0.79/1.05 tff(865,plain,
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% 0.79/1.05 inference(unit_resolution,[status(thm)],[864, 43])).
% 0.79/1.05 tff(866,plain,
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% 0.79/1.05 inference(tautology,[status(thm)],[])).
% 0.79/1.05 tff(867,plain,
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% 0.79/1.05 inference(unit_resolution,[status(thm)],[866, 865])).
% 0.79/1.05 tff(868,plain,
% 0.79/1.05 (~p301(X!0)),
% 0.79/1.05 inference(unit_resolution,[status(thm)],[867, 840])).
% 0.79/1.05 tff(869,plain,
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% 0.79/1.05 inference(unit_resolution,[status(thm)],[392, 841, 230, 387, 868, 379, 863])).
% 0.79/1.05 tff(870,plain,
% 0.79/1.05 (p505(X!0)),
% 0.79/1.05 inference(unit_resolution,[status(thm)],[134, 62, 839, 846, 173])).
% 0.79/1.05 tff(871,plain,
% 0.79/1.05 (~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))),
% 0.79/1.05 inference(unit_resolution,[status(thm)],[264, 870])).
% 0.79/1.05 tff(872,plain,
% 0.79/1.05 (p505(X!0)),
% 0.79/1.05 inference(unit_resolution,[status(thm)],[134, 846, 62, 839, 173])).
% 0.79/1.05 tff(873,plain,
% 0.79/1.05 (~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))),
% 0.79/1.05 inference(unit_resolution,[status(thm)],[304, 872])).
% 0.79/1.05 tff(874,plain,
% 0.79/1.05 (r1(X!0, tptp_fun_X_2(X!0))),
% 0.79/1.05 inference(unit_resolution,[status(thm)],[112, 873])).
% 0.79/1.05 tff(875,plain,
% 0.79/1.05 (~p305(tptp_fun_X_2(X!0))),
% 0.79/1.05 inference(unit_resolution,[status(thm)],[110, 873])).
% 0.79/1.05 tff(876,plain,
% 0.79/1.05 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.79/1.05 inference(unit_resolution,[status(thm)],[157, 868, 125, 253, 379])).
% 0.79/1.05 tff(877,plain,
% 0.79/1.05 ($false),
% 0.79/1.05 inference(unit_resolution,[status(thm)],[118, 876, 875, 874])).
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% 0.79/1.05 tff(879,plain,
% 0.79/1.05 (p302(X!0)),
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% 0.79/1.05 tff(880,plain,
% 0.79/1.05 (~p402(X!0)),
% 0.79/1.05 inference(unit_resolution,[status(thm)],[705, 879])).
% 0.79/1.05 tff(881,plain,
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% 0.79/1.05 tff(882,plain,
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% 0.79/1.05 tff(883,plain,(p502(X!0) | p403(X!0) | p404(X!0) | p503(X!0) | p504(X!0) | (~p601(X!0)) | p303(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.79/1.05 tff(884,plain,
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% 0.79/1.05 tff(885,plain,
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% 0.79/1.07 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.79/1.07 inference(unit_resolution,[status(thm)],[151, 912])).
% 0.79/1.07 tff(914,plain,
% 0.79/1.07 (~p502(X!0)),
% 0.79/1.07 inference(unit_resolution,[status(thm)],[348, 906])).
% 0.79/1.07 tff(915,plain,
% 0.79/1.07 (~p504(X!0)),
% 0.79/1.07 inference(unit_resolution,[status(thm)],[888, 911])).
% 0.79/1.07 tff(916,plain,
% 0.79/1.07 (p501(X!0)),
% 0.79/1.07 inference(unit_resolution,[status(thm)],[134, 915, 839, 649, 914])).
% 0.79/1.07 tff(917,plain,
% 0.79/1.07 (~p301(X!0)),
% 0.79/1.07 inference(unit_resolution,[status(thm)],[67, 916])).
% 0.79/1.07 tff(918,plain,
% 0.79/1.07 ($false),
% 0.79/1.07 inference(unit_resolution,[status(thm)],[157, 917, 913, 648, 379, 907])).
% 0.79/1.07 tff(919,plain,((~p605(X!0)) | p303(X!0) | p503(X!0) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | p101(X!0) | p403(X!0) | p404(X!0) | p401(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.79/1.07 tff(920,plain,
% 0.79/1.07 (~p605(X!0)),
% 0.79/1.07 inference(unit_resolution,[status(thm)],[919, 229, 839, 795, 796, 797, 387, 230, 379])).
% 0.79/1.07 tff(921,plain,
% 0.79/1.07 (p604(X!0)),
% 0.79/1.07 inference(unit_resolution,[status(thm)],[440, 920, 4, 439, 61])).
% 0.79/1.07 tff(922,plain,
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% 0.79/1.07 inference(tautology,[status(thm)],[])).
% 0.79/1.07 tff(923,plain,
% 0.79/1.07 ((~p604(X!0)) | (~(p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0)))))),
% 0.79/1.07 inference(unit_resolution,[status(thm)],[922, 43])).
% 0.79/1.07 tff(924,plain,
% 0.79/1.07 ((~((~p604(X!0)) | (~(p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0))))))) | (~p604(X!0)) | (~(p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0)))))),
% 0.79/1.07 inference(tautology,[status(thm)],[])).
% 0.79/1.07 tff(925,plain,
% 0.79/1.07 ((~p604(X!0)) | (~(p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0)))))),
% 0.79/1.07 inference(unit_resolution,[status(thm)],[924, 923])).
% 0.79/1.07 tff(926,plain,
% 0.79/1.07 (~(p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0))))),
% 0.79/1.07 inference(unit_resolution,[status(thm)],[925, 921])).
% 0.79/1.07 tff(927,plain,
% 0.79/1.07 (~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.79/1.07 inference(unit_resolution,[status(thm)],[829, 926])).
% 0.79/1.07 tff(928,plain,
% 0.79/1.07 (![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 0.79/1.07 inference(unit_resolution,[status(thm)],[817, 927, 795, 796, 797])).
% 0.79/1.07 tff(929,plain,
% 0.79/1.07 (p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0)))),
% 0.79/1.07 inference(unit_resolution,[status(thm)],[813, 928])).
% 0.79/1.07 tff(930,plain,
% 0.79/1.07 (~p302(X!0)),
% 0.79/1.07 inference(unit_resolution,[status(thm)],[899, 929])).
% 0.79/1.07 tff(931,plain,
% 0.79/1.07 (~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))),
% 0.79/1.07 inference(unit_resolution,[status(thm)],[139, 921])).
% 0.79/1.07 tff(932,plain,
% 0.79/1.07 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.79/1.07 inference(unit_resolution,[status(thm)],[151, 931])).
% 0.79/1.07 tff(933,plain,
% 0.79/1.07 (~p402(X!0)),
% 0.79/1.07 inference(unit_resolution,[status(thm)],[854, 929])).
% 0.79/1.07 tff(934,plain,
% 0.79/1.07 (![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.79/1.07 inference(unit_resolution,[status(thm)],[322, 933, 387, 230, 229])).
% 0.79/1.07 tff(935,plain,
% 0.79/1.07 (p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0)))),
% 0.79/1.07 inference(unit_resolution,[status(thm)],[281, 934])).
% 0.79/1.07 tff(936,plain,
% 0.79/1.07 (~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))),
% 0.79/1.07 inference(unit_resolution,[status(thm)],[258, 935])).
% 0.79/1.07 tff(937,plain,
% 0.79/1.07 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.79/1.07 inference(unit_resolution,[status(thm)],[122, 936])).
% 0.79/1.07 tff(938,plain,
% 0.79/1.07 (~p502(X!0)),
% 0.79/1.07 inference(unit_resolution,[status(thm)],[801, 929])).
% 0.79/1.07 tff(939,plain,
% 0.79/1.07 (~p504(X!0)),
% 0.79/1.07 inference(unit_resolution,[status(thm)],[132, 921])).
% 0.79/1.07 tff(940,plain,
% 0.79/1.07 (~p505(X!0)),
% 0.79/1.07 inference(unit_resolution,[status(thm)],[264, 935])).
% 0.79/1.07 tff(941,plain,
% 0.79/1.07 (p501(X!0)),
% 0.79/1.07 inference(unit_resolution,[status(thm)],[134, 940, 839, 939, 938])).
% 0.79/1.07 tff(942,plain,
% 0.79/1.07 (~p301(X!0)),
% 0.79/1.07 inference(unit_resolution,[status(thm)],[67, 941])).
% 0.79/1.07 tff(943,plain,
% 0.79/1.07 ($false),
% 0.79/1.07 inference(unit_resolution,[status(thm)],[157, 942, 937, 932, 379, 930])).
% 0.79/1.07 tff(944,plain,(p401(X!0) | p303(X!0) | p503(X!0) | p403(X!0) | p404(X!0) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | p101(X!0) | p603(X!0) | p602(X!0) | p601(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.79/1.07 tff(945,plain,
% 0.79/1.07 (p401(X!0)),
% 0.79/1.07 inference(unit_resolution,[status(thm)],[944, 61, 839, 387, 230, 795, 796, 797, 4, 439, 379])).
% 0.79/1.07 tff(946,plain,
% 0.79/1.07 (~p604(X!0)),
% 0.79/1.07 inference(unit_resolution,[status(thm)],[139, 422])).
% 0.79/1.07 tff(947,plain,
% 0.79/1.07 (p505(X!0)),
% 0.79/1.07 inference(unit_resolution,[status(thm)],[134, 84, 62, 839, 173])).
% 0.79/1.07 tff(948,plain,
% 0.79/1.07 (p605(X!0)),
% 0.79/1.07 inference(unit_resolution,[status(thm)],[440, 79, 439, 4, 3])).
% 0.79/1.07 tff(949,plain,
% 0.79/1.07 ($false),
% 0.79/1.07 inference(unit_resolution,[status(thm)],[463, 948, 947])).
% 0.79/1.07 tff(950,plain,((~p401(X!0)) | p602(X!0) | p603(X!0) | p604(X!0) | p502(X!0) | p503(X!0) | p504(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.79/1.07 tff(951,plain,
% 0.79/1.07 (p502(X!0)),
% 0.79/1.07 inference(unit_resolution,[status(thm)],[950, 946, 839, 4, 439, 69, 427])).
% 0.79/1.07 tff(952,plain,
% 0.79/1.07 (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))),
% 0.79/1.07 inference(unit_resolution,[status(thm)],[801, 951])).
% 0.79/1.07 tff(953,plain,
% 0.79/1.07 ($false),
% 0.79/1.07 inference(unit_resolution,[status(thm)],[813, 849, 952])).
% 0.79/1.07 tff(954,plain,((~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | p101(X!0) | p503(X!0) | p603(X!0) | p602(X!0) | (~p401(X!0))), inference(lemma,lemma(discharge,[]))).
% 0.79/1.07 tff(955,plain,
% 0.79/1.07 (~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))),
% 0.79/1.07 inference(unit_resolution,[status(thm)],[954, 945, 796, 797, 839, 4, 439, 795])).
% 0.79/1.07 tff(956,plain,
% 0.79/1.07 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.79/1.07 inference(unit_resolution,[status(thm)],[151, 955])).
% 0.79/1.07 tff(957,plain,
% 0.79/1.07 (~p301(X!0)),
% 0.79/1.07 inference(unit_resolution,[status(thm)],[73, 945])).
% 0.79/1.07 tff(958,plain,
% 0.79/1.07 (~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))),
% 0.79/1.07 inference(unit_resolution,[status(thm)],[954, 69, 796, 797, 839, 4, 439, 795])).
% 0.79/1.07 tff(959,plain,
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% 0.79/1.07 inference(unit_resolution,[status(thm)],[151, 958])).
% 0.79/1.07 tff(960,plain,
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% 0.79/1.07 inference(unit_resolution,[status(thm)],[440, 3, 4, 439, 61])).
% 0.79/1.07 tff(961,plain,
% 0.79/1.07 (~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))),
% 0.79/1.07 inference(unit_resolution,[status(thm)],[445, 960])).
% 0.79/1.07 tff(962,plain,
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% 0.79/1.07 inference(unit_resolution,[status(thm)],[122, 961])).
% 0.79/1.07 tff(963,plain,
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% 0.79/1.07 inference(unit_resolution,[status(thm)],[157, 962, 74, 379, 959])).
% 0.79/1.07 tff(964,plain,
% 0.79/1.07 (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))),
% 0.79/1.07 inference(unit_resolution,[status(thm)],[899, 963])).
% 0.79/1.07 tff(965,plain,
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% 0.79/1.07 inference(unit_resolution,[status(thm)],[813, 964])).
% 0.79/1.07 tff(966,plain,
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% 0.79/1.07 inference(unit_resolution,[status(thm)],[817, 965, 795, 796, 797])).
% 0.79/1.07 tff(967,plain,
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% 0.79/1.07 inference(unit_resolution,[status(thm)],[383, 963])).
% 0.79/1.07 tff(968,plain,
% 0.79/1.07 (p504(X!0)),
% 0.79/1.07 inference(unit_resolution,[status(thm)],[950, 967, 839, 4, 439, 69, 3])).
% 0.79/1.07 tff(969,plain,
% 0.79/1.07 (~(p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0))))),
% 0.79/1.07 inference(unit_resolution,[status(thm)],[888, 968])).
% 0.79/1.07 tff(970,plain,
% 0.79/1.07 ($false),
% 0.79/1.07 inference(unit_resolution,[status(thm)],[829, 969, 966])).
% 0.79/1.07 tff(971,plain,(p604(X!0) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | p101(X!0) | p503(X!0) | p603(X!0) | p602(X!0) | (~p401(X!0)) | p303(X!0) | p601(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.79/1.07 tff(972,plain,
% 0.79/1.07 (p604(X!0)),
% 0.79/1.07 inference(unit_resolution,[status(thm)],[971, 945, 796, 797, 839, 4, 439, 795, 379, 61])).
% 0.79/1.07 tff(973,plain,
% 0.79/1.07 (~(p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0))))),
% 0.79/1.07 inference(unit_resolution,[status(thm)],[925, 972])).
% 0.79/1.07 tff(974,plain,
% 0.79/1.07 (~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.79/1.07 inference(unit_resolution,[status(thm)],[829, 973])).
% 0.79/1.07 tff(975,plain,
% 0.79/1.07 (![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 0.79/1.07 inference(unit_resolution,[status(thm)],[817, 974, 795, 796, 797])).
% 0.79/1.07 tff(976,plain,
% 0.79/1.07 (p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0)))),
% 0.79/1.07 inference(unit_resolution,[status(thm)],[813, 975])).
% 0.79/1.07 tff(977,plain,
% 0.79/1.07 (~p302(X!0)),
% 0.79/1.07 inference(unit_resolution,[status(thm)],[899, 976])).
% 0.79/1.07 tff(978,plain,
% 0.79/1.07 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.79/1.07 inference(unit_resolution,[status(thm)],[157, 977, 957, 379, 956])).
% 0.79/1.07 tff(979,plain,
% 0.79/1.07 (~p504(X!0)),
% 0.79/1.07 inference(unit_resolution,[status(thm)],[132, 972])).
% 0.79/1.07 tff(980,plain,
% 0.79/1.07 (~p501(X!0)),
% 0.79/1.07 inference(unit_resolution,[status(thm)],[83, 945])).
% 0.79/1.07 tff(981,plain,
% 0.79/1.07 (~p502(X!0)),
% 0.79/1.07 inference(unit_resolution,[status(thm)],[801, 976])).
% 0.79/1.07 tff(982,plain,
% 0.79/1.07 (p505(X!0)),
% 0.79/1.07 inference(unit_resolution,[status(thm)],[134, 981, 839, 980, 979])).
% 0.79/1.07 tff(983,plain,
% 0.79/1.07 (~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))),
% 0.79/1.07 inference(unit_resolution,[status(thm)],[304, 982])).
% 0.79/1.07 tff(984,plain,
% 0.79/1.07 ($false),
% 0.79/1.07 inference(unit_resolution,[status(thm)],[122, 983, 978])).
% 0.79/1.07 tff(985,plain,(p601(X!0) | p303(X!0) | p503(X!0) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | p101(X!0) | p603(X!0) | p602(X!0) | p403(X!0) | p404(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.79/1.07 tff(986,plain,
% 0.79/1.07 (p602(X!0)),
% 0.79/1.07 inference(unit_resolution,[status(thm)],[985, 905, 839, 795, 796, 797, 4, 379, 387, 230])).
% 0.79/1.07 tff(987,plain,
% 0.79/1.07 (~p502(X!0)),
% 0.79/1.07 inference(unit_resolution,[status(thm)],[559, 986])).
% 0.79/1.07 tff(988,plain,
% 0.79/1.07 (((~((~p201(X!0)) | (~p301(X!0)))) | (~((~p201(X!0)) | (~p601(X!0)))) | (~((~p301(X!0)) | (~p401(X!0)))) | (~((~p301(X!0)) | (~p501(X!0)))) | (~((~p301(X!0)) | (~p601(X!0)))) | (~((~p401(X!0)) | (~p501(X!0)))) | (~((~p401(X!0)) | (~p601(X!0)))) | (~((~p501(X!0)) | (~p601(X!0)))) | (~((~p302(X!0)) | (~p202(X!0)))) | (~((~p101(X!0)) | (~p401(X!0)))) | (~((~p101(X!0)) | (~p501(X!0)))) | (~((~p101(X!0)) | (~p301(X!0)))) | (~((~p101(X!0)) | (~p601(X!0)))) | (~((~p201(X!0)) | (~p401(X!0)))) | (~((~p403(X!0)) | (~p303(X!0)))) | (~((~p201(X!0)) | (~p501(X!0)))) | (~((~p101(X!0)) | (~p201(X!0)))) | (~((~p504(X!0)) | (~p404(X!0)))) | (~((~p605(X!0)) | (~p505(X!0)))) | (~((~p605(X!0)) | (~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))))) | (~((~p505(X!0)) | (~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))))) | (~((~p505(X!0)) | (~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))))) | (~((~p605(X!0)) | (~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))))) | (~((~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))) | (~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))))) | (~((~p605(X!0)) | (~(p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0))))))) | (~((~p505(X!0)) | (~(p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0))))))) | (~((~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))) | (~(p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0))))))) | (~((~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))) | (~(p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0))))))) | (~((~p605(X!0)) | (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))))) | (~((~p505(X!0)) | (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))))) | (~((~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))) | (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))))) | (~((~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))) | (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))))) | (~((~(p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0))))) | (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))))) | (~((~p604(X!0)) | (~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))))) | (~((~p504(X!0)) | (~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))))) | (~((~p404(X!0)) | (~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))))) | (~((~p604(X!0)) | (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))))) | (~((~p504(X!0)) | (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))))) | (~((~p404(X!0)) | (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))))) | (~((~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))) | (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))))) | (~((~p604(X!0)) | (~(p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0))))))) | (~((~p504(X!0)) | (~(p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0))))))) | (~((~p404(X!0)) | (~(p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0))))))) | (~((~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))) | (~(p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0))))))) | (~((~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))) | (~(p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0))))))) | (~((~p603(X!0)) | (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))))) | (~((~p503(X!0)) | (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))))) | (~((~p403(X!0)) | (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))))) | (~((~p303(X!0)) | (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))))) | (~((~p603(X!0)) | (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))))) | (~((~p503(X!0)) | (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))))) | (~((~p403(X!0)) | (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))))) | (~((~p303(X!0)) | (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))))) | (~((~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))) | (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))))) | (~((~p602(X!0)) | (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))))) | (~((~p502(X!0)) | (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))))) | (~((~p402(X!0)) | (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))))) | (~((~p302(X!0)) | (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))))) | (~((~p202(X!0)) | (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))))) | (~((~p202(X!0)) | (~p402(X!0)))) | (~((~p202(X!0)) | (~p502(X!0)))) | (~((~p202(X!0)) | (~p602(X!0)))) | (~((~p302(X!0)) | (~p402(X!0)))) | (~((~p302(X!0)) | (~p502(X!0)))) | (~((~p302(X!0)) | (~p602(X!0)))) | (~((~p402(X!0)) | (~p502(X!0)))) | (~((~p402(X!0)) | (~p602(X!0)))) | (~((~p502(X!0)) | (~p602(X!0)))) | (~((~p303(X!0)) | (~p503(X!0)))) | (~((~p303(X!0)) | (~p603(X!0)))) | (~((~p403(X!0)) | (~p503(X!0)))) | (~((~p403(X!0)) | (~p603(X!0)))) | (~((~p503(X!0)) | (~p603(X!0)))) | (~((~p404(X!0)) | (~p604(X!0)))) | (~((~p504(X!0)) | (~p604(X!0))))) | ((~p602(X!0)) | (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))))),
% 0.79/1.08 inference(tautology,[status(thm)],[])).
% 0.79/1.08 tff(989,plain,
% 0.79/1.08 ((~p602(X!0)) | (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0)))))),
% 0.79/1.08 inference(unit_resolution,[status(thm)],[988, 43])).
% 0.79/1.08 tff(990,plain,
% 0.79/1.08 ((~((~p602(X!0)) | (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))))) | (~p602(X!0)) | (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0)))))),
% 0.79/1.08 inference(tautology,[status(thm)],[])).
% 0.79/1.08 tff(991,plain,
% 0.79/1.08 ((~p602(X!0)) | (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0)))))),
% 0.79/1.08 inference(unit_resolution,[status(thm)],[990, 989])).
% 0.79/1.08 tff(992,plain,
% 0.79/1.08 (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))),
% 0.79/1.08 inference(unit_resolution,[status(thm)],[991, 986])).
% 0.79/1.08 tff(993,plain,
% 0.79/1.08 (~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 0.79/1.08 inference(unit_resolution,[status(thm)],[813, 992])).
% 0.79/1.08 tff(994,plain,
% 0.79/1.08 (![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.79/1.08 inference(unit_resolution,[status(thm)],[817, 993, 795, 796, 797])).
% 0.79/1.08 tff(995,plain,
% 0.79/1.08 (p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0)))),
% 0.79/1.08 inference(unit_resolution,[status(thm)],[829, 994])).
% 0.79/1.08 tff(996,plain,
% 0.79/1.08 (~p504(X!0)),
% 0.79/1.08 inference(unit_resolution,[status(thm)],[888, 995])).
% 0.79/1.08 tff(997,plain,
% 0.79/1.08 (~p402(X!0)),
% 0.79/1.08 inference(unit_resolution,[status(thm)],[437, 986])).
% 0.79/1.08 tff(998,plain,
% 0.79/1.08 (~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))),
% 0.79/1.08 inference(unit_resolution,[status(thm)],[834, 995])).
% 0.79/1.08 tff(999,plain,
% 0.79/1.08 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.79/1.08 inference(unit_resolution,[status(thm)],[151, 998])).
% 0.79/1.08 tff(1000,plain,
% 0.79/1.08 (~p302(X!0)),
% 0.79/1.08 inference(unit_resolution,[status(thm)],[715, 986])).
% 0.79/1.08 tff(1001,plain,
% 0.79/1.08 (p501(X!0)),
% 0.79/1.08 inference(unit_resolution,[status(thm)],[134, 265, 839, 173, 62])).
% 0.79/1.08 tff(1002,plain,
% 0.79/1.08 (~p301(X!0)),
% 0.79/1.08 inference(unit_resolution,[status(thm)],[67, 1001])).
% 0.79/1.08 tff(1003,plain,
% 0.79/1.08 ($false),
% 0.79/1.08 inference(unit_resolution,[status(thm)],[157, 1002, 260, 125, 379, 253])).
% 0.79/1.08 tff(1004,plain,((~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))) | p302(X!0) | p303(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | p503(X!0) | p504(X!0) | p502(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.79/1.08 tff(1005,plain,
% 0.79/1.08 (~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))),
% 0.79/1.08 inference(unit_resolution,[status(thm)],[1004, 1000, 379, 999, 839, 996, 987])).
% 0.79/1.08 tff(1006,plain,
% 0.79/1.08 (~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.79/1.08 inference(unit_resolution,[status(thm)],[281, 1005])).
% 0.79/1.08 tff(1007,plain,
% 0.79/1.08 (p401(X!0)),
% 0.79/1.08 inference(unit_resolution,[status(thm)],[322, 1006, 387, 230, 997])).
% 0.79/1.08 tff(1008,plain,
% 0.79/1.08 (~p501(X!0)),
% 0.79/1.08 inference(unit_resolution,[status(thm)],[83, 1007])).
% 0.79/1.08 tff(1009,plain,
% 0.79/1.08 (p505(X!0)),
% 0.79/1.08 inference(unit_resolution,[status(thm)],[134, 1008, 839, 996, 987])).
% 0.79/1.08 tff(1010,plain,
% 0.79/1.08 (~p301(X!0)),
% 0.79/1.08 inference(unit_resolution,[status(thm)],[73, 1007])).
% 0.79/1.08 tff(1011,plain,
% 0.79/1.08 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.79/1.08 inference(unit_resolution,[status(thm)],[157, 1010, 1000, 379, 999])).
% 0.79/1.08 tff(1012,plain,
% 0.79/1.08 (p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0)))),
% 0.79/1.08 inference(unit_resolution,[status(thm)],[122, 1011])).
% 0.79/1.08 tff(1013,plain,
% 0.79/1.08 ($false),
% 0.79/1.08 inference(unit_resolution,[status(thm)],[304, 1012, 1009])).
% 0.79/1.08 tff(1014,plain,(p404(X!0) | p503(X!0) | p303(X!0) | p403(X!0) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | p101(X!0) | p603(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.79/1.08 tff(1015,plain,
% 0.79/1.08 (p404(X!0)),
% 0.79/1.08 inference(unit_resolution,[status(thm)],[1014, 756, 838, 837, 795, 796, 797, 754])).
% 0.79/1.08 tff(1016,plain,
% 0.79/1.08 (~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))),
% 0.79/1.08 inference(unit_resolution,[status(thm)],[637, 1015])).
% 0.79/1.08 tff(1017,plain,
% 0.79/1.08 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.79/1.08 inference(unit_resolution,[status(thm)],[151, 1016])).
% 0.79/1.08 tff(1018,plain,
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(~r1(X!0, tptp_fun_X_7(X!0))))))) | (~((~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))) | (~(p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0))))))) | (~((~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))) | (~(p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0))))))) | (~((~p603(X!0)) | (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))))) | (~((~p503(X!0)) | (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))))) | (~((~p403(X!0)) | (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))))) | (~((~p303(X!0)) | (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))))) | (~((~p603(X!0)) | (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))))) | (~((~p503(X!0)) | (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))))) | (~((~p403(X!0)) | (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))))) | (~((~p303(X!0)) | (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))))) | (~((~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))) | (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))))) | (~((~p602(X!0)) | (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))))) | (~((~p502(X!0)) | (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))))) | (~((~p402(X!0)) | (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))))) | (~((~p302(X!0)) | (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))))) | (~((~p202(X!0)) | (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))))) | (~((~p202(X!0)) | (~p402(X!0)))) | (~((~p202(X!0)) | (~p502(X!0)))) | (~((~p202(X!0)) | (~p602(X!0)))) | (~((~p302(X!0)) | (~p402(X!0)))) | (~((~p302(X!0)) | (~p502(X!0)))) | (~((~p302(X!0)) | (~p602(X!0)))) | (~((~p402(X!0)) | (~p502(X!0)))) | (~((~p402(X!0)) | (~p602(X!0)))) | (~((~p502(X!0)) | (~p602(X!0)))) | (~((~p303(X!0)) | (~p503(X!0)))) | (~((~p303(X!0)) | (~p603(X!0)))) | (~((~p403(X!0)) | (~p503(X!0)))) | (~((~p403(X!0)) | (~p603(X!0)))) | (~((~p503(X!0)) | (~p603(X!0)))) | (~((~p404(X!0)) | (~p604(X!0)))) | (~((~p504(X!0)) | (~p604(X!0))))) | ((~p201(X!0)) | (~p301(X!0)))),
% 0.79/1.10 inference(tautology,[status(thm)],[])).
% 0.79/1.10 tff(1095,plain,
% 0.79/1.10 ((~p201(X!0)) | (~p301(X!0))),
% 0.79/1.10 inference(unit_resolution,[status(thm)],[1094, 43])).
% 0.79/1.10 tff(1096,plain,
% 0.79/1.10 ((~((~p201(X!0)) | (~p301(X!0)))) | (~p201(X!0)) | (~p301(X!0))),
% 0.79/1.10 inference(tautology,[status(thm)],[])).
% 0.79/1.10 tff(1097,plain,
% 0.79/1.10 ((~p201(X!0)) | (~p301(X!0))),
% 0.79/1.10 inference(unit_resolution,[status(thm)],[1096, 1095])).
% 0.79/1.10 tff(1098,plain,
% 0.79/1.10 (~p301(X!0)),
% 0.79/1.10 inference(unit_resolution,[status(thm)],[1097, 1088])).
% 0.79/1.10 tff(1099,plain,
% 0.79/1.10 (~p501(X!0)),
% 0.79/1.10 inference(unit_resolution,[status(thm)],[1060, 1088])).
% 0.79/1.10 tff(1100,plain,
% 0.79/1.10 (~p504(X!0)),
% 0.79/1.10 inference(unit_resolution,[status(thm)],[632, 1082])).
% 0.79/1.10 tff(1101,plain,
% 0.79/1.10 (~p505(X!0)),
% 0.79/1.10 inference(unit_resolution,[status(thm)],[463, 1090])).
% 0.79/1.10 tff(1102,plain,
% 0.79/1.10 (p503(X!0)),
% 0.79/1.10 inference(unit_resolution,[status(thm)],[134, 1101, 62, 1100, 1099])).
% 0.79/1.10 tff(1103,plain,
% 0.79/1.10 (~p303(X!0)),
% 0.79/1.10 inference(unit_resolution,[status(thm)],[162, 1102])).
% 0.79/1.10 tff(1104,plain,
% 0.79/1.10 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.79/1.10 inference(unit_resolution,[status(thm)],[157, 1103, 125, 253, 1098])).
% 0.79/1.10 tff(1105,plain,
% 0.79/1.10 ($false),
% 0.79/1.10 inference(unit_resolution,[status(thm)],[118, 1104, 1093, 1092])).
% 0.79/1.10 tff(1106,plain,((~p404(X!0)) | p302(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | p502(X!0) | p602(X!0) | p603(X!0) | p202(X!0) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.79/1.10 tff(1107,plain,
% 0.79/1.10 (~p404(X!0)),
% 0.79/1.10 inference(unit_resolution,[status(thm)],[1106, 4, 1081, 62, 439, 125, 663, 1042, 2])).
% 0.79/1.10 tff(1108,plain,
% 0.79/1.10 (r1(X!0, tptp_fun_X_6(X!0))),
% 0.79/1.10 inference(unit_resolution,[status(thm)],[240, 235])).
% 0.79/1.10 tff(1109,plain,
% 0.79/1.10 (~p204(tptp_fun_X_6(X!0))),
% 0.79/1.10 inference(unit_resolution,[status(thm)],[238, 235])).
% 0.79/1.10 tff(1110,plain,
% 0.79/1.10 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.79/1.10 inference(unit_resolution,[status(thm)],[248, 1109, 1108])).
% 0.79/1.10 tff(1111,plain,
% 0.79/1.10 (p201(X!0)),
% 0.79/1.10 inference(unit_resolution,[status(thm)],[333, 1110, 663, 1042, 2])).
% 0.79/1.10 tff(1112,plain,
% 0.79/1.10 (~p501(X!0)),
% 0.79/1.10 inference(unit_resolution,[status(thm)],[1060, 1111])).
% 0.79/1.10 tff(1113,plain,
% 0.79/1.10 (p505(X!0)),
% 0.79/1.10 inference(unit_resolution,[status(thm)],[134, 1112, 62, 839, 133])).
% 0.79/1.10 tff(1114,plain,
% 0.79/1.10 (~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))),
% 0.79/1.10 inference(unit_resolution,[status(thm)],[304, 1113])).
% 0.79/1.10 tff(1115,plain,
% 0.79/1.10 (r1(X!0, tptp_fun_X_2(X!0))),
% 0.79/1.10 inference(unit_resolution,[status(thm)],[112, 1114])).
% 0.79/1.10 tff(1116,plain,
% 0.79/1.10 (~p305(tptp_fun_X_2(X!0))),
% 0.79/1.10 inference(unit_resolution,[status(thm)],[110, 1114])).
% 0.79/1.10 tff(1117,plain,
% 0.79/1.10 (~p301(X!0)),
% 0.79/1.10 inference(unit_resolution,[status(thm)],[1097, 1111])).
% 0.79/1.10 tff(1118,plain,
% 0.79/1.10 (~p401(X!0)),
% 0.79/1.10 inference(unit_resolution,[status(thm)],[88, 1111])).
% 0.79/1.10 tff(1119,plain,
% 0.79/1.10 (p403(X!0)),
% 0.79/1.10 inference(unit_resolution,[status(thm)],[322, 1118, 495, 314, 230])).
% 0.79/1.10 tff(1120,plain,
% 0.79/1.10 (~p303(X!0)),
% 0.79/1.10 inference(unit_resolution,[status(thm)],[318, 1119])).
% 0.79/1.10 tff(1121,plain,
% 0.79/1.10 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.79/1.10 inference(unit_resolution,[status(thm)],[157, 1120, 125, 253, 1117])).
% 0.79/1.10 tff(1122,plain,
% 0.79/1.10 ($false),
% 0.79/1.10 inference(unit_resolution,[status(thm)],[118, 1121, 1116, 1115])).
% 0.79/1.10 tff(1123,plain,((~p604(X!0)) | p302(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | p502(X!0) | p503(X!0) | p402(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p404(X!0) | p202(X!0) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.79/1.10 tff(1124,plain,
% 0.79/1.10 (~p604(X!0)),
% 0.79/1.10 inference(unit_resolution,[status(thm)],[1123, 839, 1081, 62, 125, 495, 314, 1107, 663, 1042, 2])).
% 0.79/1.10 tff(1125,assumption,(p201(X!0)), introduced(assumption)).
% 0.79/1.11 tff(1126,plain,
% 0.79/1.11 (~p601(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[1067, 1125])).
% 0.79/1.11 tff(1127,plain,
% 0.79/1.11 (p605(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[440, 1126, 439, 4, 3])).
% 0.79/1.11 tff(1128,plain,
% 0.79/1.11 (~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[445, 1127])).
% 0.79/1.11 tff(1129,plain,
% 0.79/1.11 (r1(X!0, tptp_fun_X_2(X!0))),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[112, 1128])).
% 0.79/1.11 tff(1130,plain,
% 0.79/1.11 (~p305(tptp_fun_X_2(X!0))),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[110, 1128])).
% 0.79/1.11 tff(1131,plain,
% 0.79/1.11 (~p301(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[1097, 1125])).
% 0.79/1.11 tff(1132,plain,
% 0.79/1.11 (~p401(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[88, 1125])).
% 0.79/1.11 tff(1133,plain,
% 0.79/1.11 (p403(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[322, 1132, 495, 314, 230])).
% 0.79/1.11 tff(1134,plain,
% 0.79/1.11 (~p303(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[318, 1133])).
% 0.79/1.11 tff(1135,plain,
% 0.79/1.11 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[157, 1134, 125, 253, 1131])).
% 0.79/1.11 tff(1136,plain,
% 0.79/1.11 ($false),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[118, 1135, 1130, 1129])).
% 0.79/1.11 tff(1137,plain,((~p201(X!0)) | p302(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | p402(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p404(X!0) | p602(X!0) | p603(X!0) | p604(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.79/1.11 tff(1138,plain,
% 0.79/1.11 (~p201(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[1137, 1124, 1081, 495, 314, 1107, 439, 4, 125])).
% 0.79/1.11 tff(1139,plain,
% 0.79/1.11 (![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[333, 1138, 663, 1042, 2])).
% 0.79/1.11 tff(1140,plain,
% 0.79/1.11 (p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0)))),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[250, 1139])).
% 0.79/1.11 tff(1141,plain,
% 0.79/1.11 (~p504(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[479, 1140])).
% 0.79/1.11 tff(1142,plain,
% 0.79/1.11 (~p401(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[950, 1124, 4, 439, 62, 839, 1141])).
% 0.79/1.11 tff(1143,plain,
% 0.79/1.11 (p403(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[322, 1142, 495, 314, 1107])).
% 0.79/1.11 tff(1144,plain,
% 0.79/1.11 (~p303(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[318, 1143])).
% 0.79/1.11 tff(1145,plain,
% 0.79/1.11 (~p601(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[878, 839, 62, 1141, 125, 1081, 1144])).
% 0.79/1.11 tff(1146,plain,
% 0.79/1.11 (p605(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[440, 1145, 439, 4, 1124])).
% 0.79/1.11 tff(1147,plain,
% 0.79/1.11 (~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[445, 1146])).
% 0.79/1.11 tff(1148,plain,
% 0.79/1.11 (r1(X!0, tptp_fun_X_2(X!0))),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[112, 1147])).
% 0.79/1.11 tff(1149,plain,
% 0.79/1.11 (~p305(tptp_fun_X_2(X!0))),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[110, 1147])).
% 0.79/1.11 tff(1150,plain,
% 0.79/1.11 (~p505(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[463, 1146])).
% 0.79/1.11 tff(1151,plain,
% 0.79/1.11 (p501(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[134, 1150, 62, 839, 1141])).
% 0.79/1.11 tff(1152,plain,
% 0.79/1.11 (~p301(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[67, 1151])).
% 0.79/1.11 tff(1153,plain,
% 0.79/1.11 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[157, 1152, 125, 1081, 1144])).
% 0.79/1.11 tff(1154,plain,
% 0.79/1.11 ($false),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[118, 1153, 1149, 1148])).
% 0.79/1.11 tff(1155,plain,(p503(X!0) | p302(X!0) | p502(X!0) | p602(X!0) | p603(X!0) | p402(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p202(X!0) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.79/1.11 tff(1156,plain,
% 0.79/1.11 (p503(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[1155, 4, 62, 439, 125, 495, 314, 663, 1042, 2])).
% 0.79/1.11 tff(1157,plain,
% 0.79/1.11 (~p403(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[341, 1156])).
% 0.79/1.11 tff(1158,plain,
% 0.79/1.11 (p401(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[322, 1157, 495, 314, 1107])).
% 0.79/1.11 tff(1159,plain,
% 0.79/1.11 (~p601(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[78, 1158])).
% 0.79/1.11 tff(1160,plain,
% 0.79/1.11 (~p201(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[88, 1158])).
% 0.79/1.11 tff(1161,plain,
% 0.79/1.11 (![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[333, 1160, 663, 1042, 2])).
% 0.79/1.11 tff(1162,plain,
% 0.79/1.11 (p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0)))),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[250, 1161])).
% 0.79/1.11 tff(1163,plain,
% 0.79/1.11 (~p604(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[234, 1162])).
% 0.79/1.11 tff(1164,plain,
% 0.79/1.11 (p605(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[440, 1163, 439, 4, 1159])).
% 0.79/1.11 tff(1165,plain,
% 0.79/1.11 (~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[445, 1164])).
% 0.79/1.11 tff(1166,plain,
% 0.79/1.11 (r1(X!0, tptp_fun_X_2(X!0))),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[112, 1165])).
% 0.79/1.11 tff(1167,plain,
% 0.79/1.11 (~p305(tptp_fun_X_2(X!0))),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[110, 1165])).
% 0.79/1.11 tff(1168,plain,
% 0.79/1.11 (~p303(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[162, 1156])).
% 0.79/1.11 tff(1169,plain,
% 0.79/1.11 (~p301(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[73, 1158])).
% 0.79/1.11 tff(1170,plain,
% 0.79/1.11 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[157, 1169, 125, 1081, 1168])).
% 0.79/1.11 tff(1171,plain,
% 0.79/1.11 ($false),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[118, 1170, 1167, 1166])).
% 0.79/1.11 tff(1172,plain,(p603(X!0) | p602(X!0) | p202(X!0) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p302(X!0) | p402(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p502(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.79/1.11 tff(1173,plain,
% 0.79/1.11 (p603(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[1172, 314, 663, 1042, 2, 125, 495, 439, 62])).
% 0.79/1.11 tff(1174,plain,
% 0.79/1.11 (~p403(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[544, 1173])).
% 0.79/1.11 tff(1175,plain,
% 0.79/1.11 (~p303(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[170, 1173])).
% 0.79/1.11 tff(1176,plain,
% 0.79/1.11 (~p503(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[177, 1173])).
% 0.79/1.11 tff(1177,plain,
% 0.79/1.11 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[250, 1084])).
% 0.79/1.11 tff(1178,plain,
% 0.79/1.11 (p201(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[333, 1177, 663, 1042, 2])).
% 0.79/1.11 tff(1179,plain,
% 0.79/1.11 (~p501(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[1060, 1178])).
% 0.79/1.11 tff(1180,plain,
% 0.79/1.11 (p505(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[134, 1179, 62, 839, 1100])).
% 0.79/1.11 tff(1181,plain,
% 0.79/1.11 (~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[304, 1180])).
% 0.79/1.11 tff(1182,plain,
% 0.79/1.11 (r1(X!0, tptp_fun_X_2(X!0))),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[112, 1181])).
% 0.79/1.11 tff(1183,plain,
% 0.79/1.11 (~p305(tptp_fun_X_2(X!0))),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[110, 1181])).
% 0.79/1.11 tff(1184,plain,
% 0.79/1.11 (~p301(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[1097, 1178])).
% 0.79/1.11 tff(1185,plain,
% 0.79/1.11 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[157, 1184, 125, 253, 379])).
% 0.79/1.11 tff(1186,plain,
% 0.79/1.11 ($false),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[118, 1185, 1183, 1182])).
% 0.79/1.11 tff(1187,plain,((~p404(X!0)) | p502(X!0) | p503(X!0) | p302(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | p303(X!0) | p202(X!0) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.79/1.11 tff(1188,plain,
% 0.79/1.11 (~p404(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[1187, 1176, 62, 125, 1081, 1175, 663, 1042, 2])).
% 0.79/1.11 tff(1189,plain,
% 0.79/1.11 (p401(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[322, 1188, 495, 314, 1174])).
% 0.79/1.11 tff(1190,plain,
% 0.79/1.11 (~p501(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[83, 1189])).
% 0.79/1.11 tff(1191,plain,
% 0.79/1.11 (~p201(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[88, 1189])).
% 0.79/1.11 tff(1192,plain,
% 0.79/1.11 (![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[333, 1191, 663, 1042, 2])).
% 0.79/1.11 tff(1193,plain,
% 0.79/1.11 (p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0)))),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[250, 1192])).
% 0.79/1.11 tff(1194,plain,
% 0.79/1.11 (~p504(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[479, 1193])).
% 0.79/1.11 tff(1195,plain,
% 0.79/1.11 (p505(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[134, 1194, 62, 1176, 1190])).
% 0.79/1.11 tff(1196,plain,
% 0.79/1.11 (~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[304, 1195])).
% 0.79/1.11 tff(1197,plain,
% 0.79/1.11 (r1(X!0, tptp_fun_X_2(X!0))),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[112, 1196])).
% 0.79/1.11 tff(1198,plain,
% 0.79/1.11 (~p305(tptp_fun_X_2(X!0))),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[110, 1196])).
% 0.79/1.11 tff(1199,plain,
% 0.79/1.11 (~p301(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[73, 1189])).
% 0.79/1.11 tff(1200,plain,
% 0.79/1.11 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[157, 1199, 125, 1081, 1175])).
% 0.79/1.11 tff(1201,plain,
% 0.79/1.11 ($false),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[118, 1200, 1198, 1197])).
% 0.79/1.11 tff(1202,plain,(![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p502(X!0) | p202(X!0) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p302(X!0) | p402(X!0) | p602(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.79/1.11 tff(1203,plain,
% 0.79/1.11 (![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[1202, 1052, 1051, 1042, 2, 1046, 1045, 1044])).
% 0.79/1.11 tff(1204,plain,
% 0.79/1.11 (p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0)))),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[281, 1203])).
% 0.79/1.11 tff(1205,plain,
% 0.79/1.11 (~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[258, 1204])).
% 0.79/1.11 tff(1206,plain,
% 0.79/1.11 (r1(X!0, tptp_fun_X_2(X!0))),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[112, 1205])).
% 0.79/1.11 tff(1207,plain,
% 0.79/1.11 (~p305(tptp_fun_X_2(X!0))),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[110, 1205])).
% 0.79/1.11 tff(1208,plain,
% 0.79/1.11 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[120, 1207, 1206])).
% 0.79/1.11 tff(1209,plain,
% 0.79/1.11 (~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[1079, 1045, 1044, 1052, 1051, 1042, 2])).
% 0.79/1.11 tff(1210,plain,
% 0.79/1.11 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[151, 1209])).
% 0.79/1.11 tff(1211,plain,
% 0.79/1.11 (~p505(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[264, 1204])).
% 0.79/1.11 tff(1212,plain,
% 0.79/1.11 (~p605(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[451, 1204])).
% 0.79/1.11 tff(1213,plain,
% 0.79/1.11 (p303(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[157, 1131, 125, 253, 124])).
% 0.79/1.11 tff(1214,plain,
% 0.79/1.11 (~p603(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[170, 1213])).
% 0.79/1.11 tff(1215,plain,
% 0.79/1.11 (~p501(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[1060, 1125])).
% 0.79/1.11 tff(1216,plain,
% 0.79/1.11 (p504(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[134, 1215, 62, 127, 839])).
% 0.79/1.11 tff(1217,plain,
% 0.79/1.11 (~p604(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[132, 1216])).
% 0.79/1.11 tff(1218,plain,
% 0.79/1.11 ($false),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[440, 1217, 1214, 439, 126, 1126])).
% 0.79/1.11 tff(1219,plain,((~p201(X!0)) | p602(X!0) | p605(X!0) | p502(X!0) | p505(X!0) | p503(X!0) | p302(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.79/1.11 tff(1220,plain,
% 0.79/1.11 (~p201(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[1219, 839, 126, 62, 127, 439, 125, 253, 124])).
% 0.79/1.11 tff(1221,plain,
% 0.79/1.11 (![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[333, 1220, 663, 1042, 2])).
% 0.79/1.11 tff(1222,plain,
% 0.79/1.11 (p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0)))),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[250, 1221])).
% 0.79/1.11 tff(1223,plain,
% 0.79/1.11 (~p504(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[479, 1222])).
% 0.79/1.11 tff(1224,plain,
% 0.79/1.11 (p501(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[134, 1223, 62, 127, 839])).
% 0.79/1.11 tff(1225,plain,
% 0.79/1.11 (~p301(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[67, 1224])).
% 0.79/1.11 tff(1226,plain,
% 0.79/1.11 (p303(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[157, 1225, 125, 253, 124])).
% 0.79/1.11 tff(1227,plain,
% 0.79/1.11 (~p604(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[234, 1222])).
% 0.79/1.11 tff(1228,plain,
% 0.79/1.11 (~p601(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[845, 1224])).
% 0.79/1.11 tff(1229,plain,
% 0.79/1.11 (p603(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[440, 1228, 439, 126, 1227])).
% 0.79/1.11 tff(1230,plain,
% 0.79/1.11 ($false),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[170, 1229, 1226])).
% 0.79/1.11 tff(1231,plain,(p503(X!0) | p602(X!0) | p605(X!0) | p302(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p502(X!0) | p505(X!0) | p202(X!0) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.79/1.11 tff(1232,plain,
% 0.79/1.11 (p503(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[1231, 1044, 1212, 1046, 1210, 1208, 1052, 1211, 1051, 1042, 2])).
% 0.79/1.11 tff(1233,plain,
% 0.79/1.11 (~p303(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[162, 1232])).
% 0.79/1.11 tff(1234,plain,
% 0.79/1.11 (p301(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[157, 1233, 1046, 1210, 1208])).
% 0.79/1.11 tff(1235,plain,
% 0.79/1.11 (~p601(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[867, 1234])).
% 0.79/1.11 tff(1236,plain,
% 0.79/1.11 (~p603(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[177, 1232])).
% 0.79/1.11 tff(1237,plain,
% 0.79/1.11 (~p404(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[1106, 1236, 1210, 1052, 1044, 1046, 1051, 1042, 2])).
% 0.79/1.11 tff(1238,plain,
% 0.79/1.11 (~p401(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[73, 1234])).
% 0.79/1.11 tff(1239,plain,
% 0.79/1.11 (p604(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[499, 1238, 1044, 1232, 1045, 1237, 1235])).
% 0.79/1.11 tff(1240,plain,
% 0.79/1.11 (~p201(X!0)),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[1097, 1234])).
% 0.79/1.11 tff(1241,plain,
% 0.79/1.11 (![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[333, 1240, 1051, 1042, 2])).
% 0.79/1.11 tff(1242,plain,
% 0.79/1.11 (p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0)))),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[250, 1241])).
% 0.79/1.11 tff(1243,plain,
% 0.79/1.11 ($false),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[234, 1242, 1239])).
% 0.79/1.11 tff(1244,plain,((~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.79/1.11 tff(1245,plain,
% 0.79/1.11 (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[1244, 1042, 2])).
% 0.79/1.11 tff(1246,plain,
% 0.79/1.11 (~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[813, 1245])).
% 0.79/1.11 tff(1247,plain,
% 0.79/1.11 (![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[817, 1246, 795, 796, 797])).
% 0.79/1.11 tff(1248,plain,
% 0.79/1.11 (p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0)))),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[829, 1247])).
% 0.79/1.11 tff(1249,plain,
% 0.79/1.11 (((~((~p201(X!0)) | (~p301(X!0)))) | (~((~p201(X!0)) | (~p601(X!0)))) | (~((~p301(X!0)) | (~p401(X!0)))) | (~((~p301(X!0)) | (~p501(X!0)))) | (~((~p301(X!0)) | (~p601(X!0)))) | (~((~p401(X!0)) | (~p501(X!0)))) | (~((~p401(X!0)) | (~p601(X!0)))) | (~((~p501(X!0)) | (~p601(X!0)))) | (~((~p302(X!0)) | (~p202(X!0)))) | (~((~p101(X!0)) | (~p401(X!0)))) | (~((~p101(X!0)) | (~p501(X!0)))) | (~((~p101(X!0)) | (~p301(X!0)))) | (~((~p101(X!0)) | (~p601(X!0)))) | (~((~p201(X!0)) | (~p401(X!0)))) | (~((~p403(X!0)) | (~p303(X!0)))) | (~((~p201(X!0)) | (~p501(X!0)))) | (~((~p101(X!0)) | (~p201(X!0)))) | (~((~p504(X!0)) | (~p404(X!0)))) | (~((~p605(X!0)) | (~p505(X!0)))) | (~((~p605(X!0)) | (~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))))) | (~((~p505(X!0)) | (~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))))) | (~((~p505(X!0)) | (~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))))) | (~((~p605(X!0)) | (~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))))) | (~((~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))) | (~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))))) | (~((~p605(X!0)) | (~(p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0))))))) | (~((~p505(X!0)) | (~(p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0))))))) | (~((~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))) | (~(p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0))))))) | (~((~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))) | (~(p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0))))))) | (~((~p605(X!0)) | (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))))) | (~((~p505(X!0)) | (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))))) | (~((~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))) | (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))))) | (~((~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))) | (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))))) | (~((~(p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0))))) | (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))))) | (~((~p604(X!0)) | (~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))))) | (~((~p504(X!0)) | (~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))))) | (~((~p404(X!0)) | (~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))))) | (~((~p604(X!0)) | (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))))) | (~((~p504(X!0)) | (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))))) | (~((~p404(X!0)) | (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))))) | (~((~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))) | (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))))) | (~((~p604(X!0)) | (~(p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0))))))) | (~((~p504(X!0)) | (~(p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0))))))) | (~((~p404(X!0)) | (~(p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0))))))) | (~((~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))) | (~(p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0))))))) | (~((~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))) | (~(p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0))))))) | (~((~p603(X!0)) | (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))))) | (~((~p503(X!0)) | (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))))) | (~((~p403(X!0)) | (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))))) | (~((~p303(X!0)) | (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))))) | (~((~p603(X!0)) | (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))))) | (~((~p503(X!0)) | (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))))) | (~((~p403(X!0)) | (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))))) | (~((~p303(X!0)) | (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))))) | (~((~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))) | (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))))) | (~((~p602(X!0)) | (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))))) | (~((~p502(X!0)) | (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))))) | (~((~p402(X!0)) | (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))))) | (~((~p302(X!0)) | (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))))) | (~((~p202(X!0)) | (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))))) | (~((~p202(X!0)) | (~p402(X!0)))) | (~((~p202(X!0)) | (~p502(X!0)))) | (~((~p202(X!0)) | (~p602(X!0)))) | (~((~p302(X!0)) | (~p402(X!0)))) | (~((~p302(X!0)) | (~p502(X!0)))) | (~((~p302(X!0)) | (~p602(X!0)))) | (~((~p402(X!0)) | (~p502(X!0)))) | (~((~p402(X!0)) | (~p602(X!0)))) | (~((~p502(X!0)) | (~p602(X!0)))) | (~((~p303(X!0)) | (~p503(X!0)))) | (~((~p303(X!0)) | (~p603(X!0)))) | (~((~p403(X!0)) | (~p503(X!0)))) | (~((~p403(X!0)) | (~p603(X!0)))) | (~((~p503(X!0)) | (~p603(X!0)))) | (~((~p404(X!0)) | (~p604(X!0)))) | (~((~p504(X!0)) | (~p604(X!0))))) | ((~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))) | (~(p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0))))))),
% 0.79/1.11 inference(tautology,[status(thm)],[])).
% 0.79/1.11 tff(1250,plain,
% 0.79/1.11 ((~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))) | (~(p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0)))))),
% 0.79/1.11 inference(unit_resolution,[status(thm)],[1249, 43])).
% 0.79/1.11 tff(1251,plain,
% 0.79/1.11 ((~((~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))) | (~(p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0))))))) | (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))) | (~(p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0)))))),
% 0.79/1.12 inference(tautology,[status(thm)],[])).
% 0.79/1.12 tff(1252,plain,
% 0.79/1.12 ((~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))) | (~(p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0)))))),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[1251, 1250])).
% 0.79/1.12 tff(1253,plain,
% 0.79/1.12 (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[1252, 1248])).
% 0.79/1.12 tff(1254,plain,
% 0.79/1.12 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[250, 1253])).
% 0.79/1.12 tff(1255,plain,
% 0.79/1.12 (~p404(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[1021, 1248])).
% 0.79/1.12 tff(1256,plain,
% 0.79/1.12 (~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[834, 1248])).
% 0.79/1.12 tff(1257,plain,
% 0.79/1.12 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[151, 1256])).
% 0.79/1.12 tff(1258,plain,
% 0.79/1.12 (~p504(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[888, 1248])).
% 0.79/1.12 tff(1259,plain,
% 0.79/1.12 (~p604(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[925, 1248])).
% 0.79/1.12 tff(1260,plain,
% 0.79/1.12 (~p603(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[170, 465])).
% 0.79/1.12 tff(1261,assumption,(p202(X!0)), introduced(assumption)).
% 0.79/1.12 tff(1262,plain,
% 0.79/1.12 (~p602(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[534, 1261])).
% 0.79/1.12 tff(1263,plain,
% 0.79/1.12 (~p402(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[327, 1261])).
% 0.79/1.12 tff(1264,plain,
% 0.79/1.12 (~p401(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[950, 1262, 839, 4, 62, 3, 173])).
% 0.79/1.12 tff(1265,plain,
% 0.79/1.12 (![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[322, 1264, 387, 230, 1263])).
% 0.79/1.12 tff(1266,plain,
% 0.79/1.12 (p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0)))),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[281, 1265])).
% 0.79/1.12 tff(1267,plain,
% 0.79/1.12 (~p605(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[451, 1266])).
% 0.79/1.12 tff(1268,plain,
% 0.79/1.12 (p601(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[440, 1267, 4, 3, 1262])).
% 0.79/1.12 tff(1269,plain,
% 0.79/1.12 (~p505(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[264, 1266])).
% 0.79/1.12 tff(1270,plain,
% 0.79/1.12 (p501(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[134, 1269, 839, 62, 173])).
% 0.79/1.12 tff(1271,plain,
% 0.79/1.12 ($false),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[845, 1270, 1268])).
% 0.79/1.12 tff(1272,plain,((~p202(X!0)) | p503(X!0) | p502(X!0) | p504(X!0) | p603(X!0) | p604(X!0) | p403(X!0) | p404(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.79/1.12 tff(1273,plain,
% 0.79/1.12 (~p202(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[1272, 1260, 62, 173, 839, 3, 467, 230])).
% 0.79/1.12 tff(1274,plain,
% 0.79/1.12 (p201(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[333, 1273, 252, 1042, 2])).
% 0.79/1.12 tff(1275,plain,
% 0.79/1.12 (~p401(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[88, 1274])).
% 0.79/1.12 tff(1276,plain,
% 0.79/1.12 (~p501(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[1060, 1274])).
% 0.79/1.12 tff(1277,plain,
% 0.79/1.12 (p505(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[134, 1276, 839, 62, 173])).
% 0.79/1.12 tff(1278,plain,
% 0.79/1.12 (~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[264, 1277])).
% 0.79/1.12 tff(1279,plain,
% 0.79/1.12 (~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[281, 1278])).
% 0.79/1.12 tff(1280,plain,
% 0.79/1.12 (~p601(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[1067, 1274])).
% 0.79/1.12 tff(1281,plain,
% 0.79/1.12 (~p605(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[463, 1277])).
% 0.79/1.12 tff(1282,plain,
% 0.79/1.12 (p602(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[440, 1281, 1260, 3, 1280])).
% 0.79/1.12 tff(1283,plain,
% 0.79/1.12 (~p402(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[437, 1282])).
% 0.79/1.12 tff(1284,plain,
% 0.79/1.12 ($false),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[322, 1283, 1279, 467, 230, 1275])).
% 0.79/1.12 tff(1285,plain,((~p303(X!0)) | p404(X!0) | p604(X!0) | p503(X!0) | p502(X!0) | p504(X!0) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.79/1.12 tff(1286,plain,
% 0.79/1.12 (~p303(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[1285, 62, 3, 839, 230, 173, 252, 1042, 2])).
% 0.79/1.12 tff(1287,plain,
% 0.79/1.12 (p301(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[157, 379, 125, 253, 124])).
% 0.79/1.12 tff(1288,plain,
% 0.79/1.12 (~p201(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[1097, 1287])).
% 0.79/1.12 tff(1289,plain,
% 0.79/1.12 (p202(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[333, 1288, 252, 1042, 2])).
% 0.79/1.12 tff(1290,plain,
% 0.79/1.12 (~p402(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[327, 1289])).
% 0.79/1.12 tff(1291,plain,
% 0.79/1.12 (~p401(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[73, 1287])).
% 0.79/1.12 tff(1292,plain,
% 0.79/1.12 (~p501(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[67, 1287])).
% 0.79/1.12 tff(1293,plain,
% 0.79/1.12 (p505(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[134, 1292, 839, 62, 173])).
% 0.79/1.12 tff(1294,plain,
% 0.79/1.12 (~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[264, 1293])).
% 0.79/1.12 tff(1295,plain,
% 0.79/1.12 (~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[281, 1294])).
% 0.79/1.12 tff(1296,plain,
% 0.79/1.12 (~p602(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[534, 1289])).
% 0.79/1.12 tff(1297,plain,
% 0.79/1.12 (~p601(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[878, 379, 839, 62, 125, 253, 173])).
% 0.79/1.12 tff(1298,plain,
% 0.79/1.12 (~p605(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[463, 1293])).
% 0.79/1.12 tff(1299,plain,
% 0.79/1.12 (p603(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[440, 1298, 1297, 3, 1296])).
% 0.79/1.12 tff(1300,plain,
% 0.79/1.12 (~p403(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[544, 1299])).
% 0.79/1.12 tff(1301,plain,
% 0.79/1.12 ($false),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[322, 1300, 1295, 1291, 230, 1290])).
% 0.79/1.12 tff(1302,plain,(p303(X!0) | p404(X!0) | p604(X!0) | p503(X!0) | p502(X!0) | p504(X!0) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p302(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.79/1.12 tff(1303,plain,
% 0.79/1.12 (p302(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[1302, 1286, 3, 839, 62, 173, 252, 1042, 2, 230, 253, 124])).
% 0.79/1.12 tff(1304,plain,
% 0.79/1.12 (~p202(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[710, 1303])).
% 0.79/1.12 tff(1305,plain,
% 0.79/1.12 (p201(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[333, 1304, 252, 1042, 2])).
% 0.79/1.12 tff(1306,plain,
% 0.79/1.12 (~p401(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[88, 1305])).
% 0.79/1.12 tff(1307,plain,
% 0.79/1.12 (~p402(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[705, 1303])).
% 0.79/1.12 tff(1308,plain,
% 0.79/1.12 (~p501(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[1060, 1305])).
% 0.79/1.12 tff(1309,plain,
% 0.79/1.12 (p505(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[134, 1308, 839, 62, 173])).
% 0.79/1.12 tff(1310,plain,
% 0.79/1.12 (~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[264, 1309])).
% 0.79/1.12 tff(1311,plain,
% 0.79/1.12 (~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[281, 1310])).
% 0.79/1.12 tff(1312,plain,
% 0.79/1.12 (~p601(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[1067, 1305])).
% 0.79/1.12 tff(1313,plain,
% 0.79/1.12 (~p602(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[715, 1303])).
% 0.79/1.12 tff(1314,plain,
% 0.79/1.12 (~p605(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[463, 1309])).
% 0.79/1.12 tff(1315,plain,
% 0.79/1.12 (p603(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[440, 1314, 1313, 3, 1312])).
% 0.79/1.12 tff(1316,plain,
% 0.79/1.12 (~p403(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[544, 1315])).
% 0.79/1.12 tff(1317,plain,
% 0.79/1.12 ($false),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[322, 1316, 1311, 1307, 230, 1306])).
% 0.79/1.12 tff(1318,plain,(p502(X!0) | p404(X!0) | p604(X!0) | p503(X!0) | p504(X!0) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.79/1.12 tff(1319,plain,
% 0.79/1.12 (p502(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[1318, 124, 3, 839, 173, 252, 1042, 2, 253, 230])).
% 0.79/1.12 tff(1320,plain,
% 0.79/1.12 (~p202(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[375, 1319])).
% 0.79/1.12 tff(1321,plain,
% 0.79/1.12 (p201(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[333, 1320, 252, 1042, 2])).
% 0.79/1.12 tff(1322,plain,
% 0.79/1.12 (~p601(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[1067, 1321])).
% 0.79/1.12 tff(1323,plain,
% 0.79/1.12 (~p602(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[559, 1319])).
% 0.79/1.12 tff(1324,plain,
% 0.79/1.12 (~p302(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[383, 1319])).
% 0.79/1.12 tff(1325,plain,
% 0.79/1.12 (~p301(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[1097, 1321])).
% 0.79/1.12 tff(1326,plain,
% 0.79/1.12 (p303(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[157, 1325, 1324, 253, 124])).
% 0.79/1.12 tff(1327,plain,
% 0.79/1.12 (~p603(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[170, 1326])).
% 0.79/1.12 tff(1328,plain,
% 0.79/1.12 (p605(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[440, 1327, 1323, 3, 1322])).
% 0.79/1.12 tff(1329,plain,
% 0.79/1.12 (~p401(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[88, 1321])).
% 0.79/1.12 tff(1330,plain,
% 0.79/1.12 (~p402(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[348, 1319])).
% 0.79/1.12 tff(1331,plain,
% 0.79/1.12 (~p403(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[318, 1326])).
% 0.79/1.12 tff(1332,plain,
% 0.79/1.12 (![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[322, 1331, 1330, 230, 1329])).
% 0.79/1.12 tff(1333,plain,
% 0.79/1.12 (p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0)))),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[281, 1332])).
% 0.79/1.12 tff(1334,plain,
% 0.79/1.12 ($false),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[451, 1333, 1328])).
% 0.79/1.12 tff(1335,plain,(![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p604(X!0) | p404(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p503(X!0) | p504(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.79/1.12 tff(1336,plain,
% 0.79/1.12 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[1335, 839, 230, 253, 252, 1042, 2, 3, 173])).
% 0.79/1.12 tff(1337,plain,
% 0.79/1.12 (p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0)))),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[122, 1336])).
% 0.79/1.12 tff(1338,plain,
% 0.79/1.12 (~p505(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[304, 1337])).
% 0.79/1.12 tff(1339,plain,
% 0.79/1.12 (~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[258, 1337])).
% 0.79/1.12 tff(1340,plain,
% 0.79/1.12 (~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[281, 1339])).
% 0.79/1.12 tff(1341,plain,
% 0.79/1.12 (~p605(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[445, 1337])).
% 0.79/1.12 tff(1342,assumption,(p501(X!0)), introduced(assumption)).
% 0.79/1.12 tff(1343,plain,
% 0.79/1.12 (~p401(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[83, 1342])).
% 0.79/1.12 tff(1344,plain,
% 0.79/1.12 (~p201(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[1060, 1342])).
% 0.79/1.12 tff(1345,plain,
% 0.79/1.12 (p202(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[333, 1344, 252, 1042, 2])).
% 0.79/1.12 tff(1346,plain,
% 0.79/1.12 (~p402(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[327, 1345])).
% 0.79/1.12 tff(1347,plain,
% 0.79/1.12 (p403(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[322, 1346, 314, 230, 1343])).
% 0.79/1.12 tff(1348,plain,
% 0.79/1.12 (~p601(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[845, 1342])).
% 0.79/1.12 tff(1349,plain,
% 0.79/1.12 (~p602(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[534, 1345])).
% 0.79/1.12 tff(1350,plain,
% 0.79/1.12 (p603(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[440, 1349, 126, 3, 1348])).
% 0.79/1.12 tff(1351,plain,
% 0.79/1.12 ($false),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[544, 1350, 1347])).
% 0.79/1.12 tff(1352,plain,((~p501(X!0)) | p605(X!0) | p604(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p404(X!0) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.79/1.12 tff(1353,plain,
% 0.79/1.12 (~p501(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[1352, 1341, 3, 1340, 230, 252, 1042, 2])).
% 0.79/1.12 tff(1354,plain,
% 0.79/1.12 (p502(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[134, 1353, 839, 1338, 173])).
% 0.79/1.12 tff(1355,plain,
% 0.79/1.12 (~p302(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[383, 1354])).
% 0.79/1.12 tff(1356,plain,
% 0.79/1.12 (~p602(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[559, 1354])).
% 0.79/1.12 tff(1357,plain,
% 0.79/1.12 (~p402(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[348, 1354])).
% 0.79/1.12 tff(1358,plain,
% 0.79/1.12 (~p202(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[375, 1354])).
% 0.79/1.12 tff(1359,plain,
% 0.79/1.12 (p201(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[333, 1358, 252, 1042, 2])).
% 0.79/1.12 tff(1360,plain,
% 0.79/1.12 (p603(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[1137, 1359, 253, 1357, 1340, 3, 1356, 230, 1355])).
% 0.79/1.12 tff(1361,plain,
% 0.79/1.12 (~p401(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[88, 1359])).
% 0.79/1.12 tff(1362,plain,
% 0.79/1.12 (p403(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[322, 1361, 1340, 230, 1357])).
% 0.79/1.12 tff(1363,plain,
% 0.79/1.12 ($false),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[544, 1362, 1360])).
% 0.79/1.12 tff(1364,plain,(p503(X!0) | p404(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | p604(X!0) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p504(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.79/1.12 tff(1365,plain,
% 0.79/1.12 (p503(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[1364, 1255, 1257, 1259, 1254, 1042, 2, 1258])).
% 0.79/1.12 tff(1366,plain,
% 0.79/1.12 (~p303(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[162, 1365])).
% 0.79/1.12 tff(1367,plain,
% 0.79/1.12 (~p403(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[341, 1365])).
% 0.79/1.12 tff(1368,plain,
% 0.79/1.12 (~p201(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[1067, 840])).
% 0.79/1.12 tff(1369,plain,
% 0.79/1.12 (p202(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[333, 1368, 252, 1042, 2])).
% 0.79/1.12 tff(1370,plain,
% 0.79/1.12 (~p302(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[710, 1369])).
% 0.79/1.12 tff(1371,plain,
% 0.79/1.12 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[157, 1370, 379, 253, 868])).
% 0.79/1.12 tff(1372,plain,
% 0.79/1.12 (p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0)))),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[122, 1371])).
% 0.79/1.12 tff(1373,plain,
% 0.79/1.12 (~p402(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[327, 1369])).
% 0.79/1.12 tff(1374,plain,
% 0.79/1.12 (![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[322, 1373, 387, 230, 841])).
% 0.79/1.12 tff(1375,plain,
% 0.79/1.12 (p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0)))),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[281, 1374])).
% 0.79/1.12 tff(1376,plain,
% 0.79/1.12 ($false),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[258, 1375, 1372])).
% 0.79/1.12 tff(1377,plain,((~p601(X!0)) | p403(X!0) | p404(X!0) | p303(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.79/1.12 tff(1378,plain,
% 0.79/1.12 (~p601(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[1377, 1367, 1255, 1366, 1257, 1254, 1042, 2])).
% 0.79/1.12 tff(1379,plain,
% 0.79/1.12 (~p302(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[710, 1261])).
% 0.79/1.12 tff(1380,plain,
% 0.79/1.12 (~p303(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[162, 489])).
% 0.79/1.12 tff(1381,plain,
% 0.79/1.12 (p401(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[499, 1262, 489, 3, 61, 230, 1263])).
% 0.79/1.12 tff(1382,plain,
% 0.79/1.12 (~p301(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[73, 1381])).
% 0.79/1.12 tff(1383,plain,
% 0.79/1.12 (p605(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[440, 1262, 490, 3, 61])).
% 0.79/1.12 tff(1384,plain,
% 0.79/1.12 (~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[445, 1383])).
% 0.79/1.12 tff(1385,plain,
% 0.79/1.12 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[122, 1384])).
% 0.79/1.12 tff(1386,plain,
% 0.79/1.12 ($false),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[157, 1385, 1382, 1380, 253, 1379])).
% 0.79/1.12 tff(1387,plain,((~p202(X!0)) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | (~p503(X!0)) | p604(X!0) | p601(X!0) | p404(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.79/1.12 tff(1388,plain,
% 0.79/1.12 (~p202(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[1387, 1257, 1365, 1259, 1378, 1255])).
% 0.79/1.12 tff(1389,plain,
% 0.79/1.12 (p201(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[333, 1388, 1254, 1042, 2])).
% 0.79/1.12 tff(1390,plain,
% 0.79/1.12 (~p401(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[88, 1389])).
% 0.79/1.12 tff(1391,plain,
% 0.79/1.12 (~p301(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[1097, 1389])).
% 0.79/1.12 tff(1392,assumption,(p302(X!0)), introduced(assumption)).
% 0.79/1.12 tff(1393,plain,
% 0.79/1.12 (~p402(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[705, 1392])).
% 0.79/1.12 tff(1394,plain,
% 0.79/1.12 (~p602(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[715, 1392])).
% 0.79/1.12 tff(1395,plain,
% 0.79/1.12 ($false),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[499, 1394, 1393, 489, 3, 61, 230, 229])).
% 0.79/1.12 tff(1396,plain,((~p302(X!0)) | (~p503(X!0)) | p604(X!0) | p601(X!0) | p404(X!0) | p401(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.79/1.12 tff(1397,plain,
% 0.79/1.12 (~p302(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[1396, 1365, 1259, 1378, 1255, 1390])).
% 0.79/1.12 tff(1398,plain,
% 0.79/1.12 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[157, 1397, 1366, 1257, 1391])).
% 0.79/1.12 tff(1399,plain,
% 0.79/1.12 (p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0)))),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[122, 1398])).
% 0.79/1.12 tff(1400,plain,
% 0.79/1.12 (~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[258, 1399])).
% 0.79/1.12 tff(1401,plain,
% 0.79/1.12 (~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[281, 1400])).
% 0.79/1.12 tff(1402,plain,
% 0.79/1.12 (~p603(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[177, 1365])).
% 0.79/1.12 tff(1403,plain,
% 0.79/1.12 (~p605(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[445, 1399])).
% 0.79/1.12 tff(1404,plain,
% 0.79/1.12 (p602(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[440, 1403, 1402, 1259, 1378])).
% 0.79/1.12 tff(1405,plain,
% 0.79/1.12 (~p402(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[437, 1404])).
% 0.79/1.12 tff(1406,plain,
% 0.79/1.12 ($false),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[322, 1405, 1401, 1367, 1255, 1390])).
% 0.79/1.12 tff(1407,plain,(![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | p101(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.79/1.12 tff(1408,plain,
% 0.79/1.12 (![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[1407, 1041, 795, 796, 797])).
% 0.79/1.12 tff(1409,plain,
% 0.79/1.12 (p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0)))),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[299, 1408])).
% 0.79/1.12 tff(1410,plain,
% 0.79/1.12 (~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[367, 1409])).
% 0.79/1.12 tff(1411,plain,
% 0.79/1.12 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[122, 1410])).
% 0.79/1.12 tff(1412,plain,
% 0.79/1.12 (~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[417, 1409])).
% 0.79/1.12 tff(1413,plain,
% 0.79/1.12 (~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[281, 1412])).
% 0.79/1.12 tff(1414,plain,
% 0.79/1.12 (~p404(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[1021, 830])).
% 0.79/1.12 tff(1415,plain,
% 0.79/1.12 (~p604(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[925, 830])).
% 0.79/1.12 tff(1416,plain,
% 0.79/1.12 (~p605(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[457, 1409])).
% 0.79/1.12 tff(1417,plain,
% 0.79/1.12 (~p602(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[559, 377])).
% 0.79/1.12 tff(1418,assumption,(p403(X!0)), introduced(assumption)).
% 0.79/1.12 tff(1419,plain,
% 0.79/1.12 (~p303(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[318, 1418])).
% 0.79/1.12 tff(1420,plain,
% 0.79/1.12 (p301(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[157, 1419, 124, 125, 253])).
% 0.79/1.12 tff(1421,plain,
% 0.79/1.12 (~p603(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[544, 1418])).
% 0.79/1.12 tff(1422,plain,
% 0.79/1.12 (p601(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[440, 1421, 439, 126, 3])).
% 0.79/1.12 tff(1423,plain,
% 0.79/1.12 ($false),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[867, 1422, 1420])).
% 0.79/1.12 tff(1424,plain,((~p403(X!0)) | p602(X!0) | p605(X!0) | p604(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p302(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.79/1.12 tff(1425,plain,
% 0.79/1.12 (~p403(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[1424, 1417, 1416, 1415, 1411, 384, 836])).
% 0.79/1.12 tff(1426,plain,
% 0.79/1.12 (p401(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[322, 1425, 388, 1414, 1413])).
% 0.79/1.12 tff(1427,plain,
% 0.79/1.12 (~p301(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[73, 1426])).
% 0.79/1.12 tff(1428,plain,
% 0.79/1.12 (p303(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[157, 1427, 1411, 384, 836])).
% 0.79/1.12 tff(1429,plain,
% 0.79/1.12 (~p601(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[78, 1426])).
% 0.79/1.12 tff(1430,plain,
% 0.79/1.12 (p603(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[440, 1429, 1417, 1416, 1415])).
% 0.79/1.12 tff(1431,plain,
% 0.79/1.12 ($false),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[170, 1430, 1428])).
% 0.79/1.12 tff(1432,plain,((~p502(X!0)) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | p101(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.79/1.12 tff(1433,plain,
% 0.79/1.12 (~p502(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[1432, 797, 796, 795])).
% 0.79/1.12 tff(1434,plain,
% 0.79/1.12 (~p505(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[287, 1409])).
% 0.79/1.12 tff(1435,plain,
% 0.79/1.12 (~(p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0))))),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[1021, 1082])).
% 0.79/1.12 tff(1436,plain,
% 0.79/1.12 (~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[829, 1435])).
% 0.79/1.12 tff(1437,plain,
% 0.79/1.12 (![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[817, 1436, 795, 796, 797])).
% 0.79/1.12 tff(1438,plain,
% 0.79/1.12 (p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0)))),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[813, 1437])).
% 0.79/1.12 tff(1439,plain,
% 0.79/1.12 (p501(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[134, 1100, 1434, 839, 62])).
% 0.79/1.12 tff(1440,plain,
% 0.79/1.12 (~p601(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[845, 1439])).
% 0.79/1.12 tff(1441,plain,
% 0.79/1.12 (~p301(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[67, 1439])).
% 0.79/1.12 tff(1442,plain,
% 0.79/1.12 (~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[637, 1082])).
% 0.79/1.12 tff(1443,plain,
% 0.79/1.12 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[151, 1442])).
% 0.79/1.12 tff(1444,plain,
% 0.79/1.12 (p303(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[157, 1443, 1411, 125, 1441])).
% 0.79/1.12 tff(1445,plain,
% 0.79/1.12 (~p603(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[170, 1444])).
% 0.79/1.12 tff(1446,plain,
% 0.79/1.12 (p602(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[440, 1445, 1083, 1416, 1440])).
% 0.79/1.12 tff(1447,plain,
% 0.79/1.12 ($false),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[991, 1446, 1438])).
% 0.79/1.12 tff(1448,plain,((~p404(X!0)) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | p101(X!0) | p302(X!0) | p503(X!0) | p502(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.79/1.12 tff(1449,plain,
% 0.79/1.12 (~p404(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[1448, 125, 796, 797, 795, 839, 62])).
% 0.79/1.12 tff(1450,plain,
% 0.79/1.12 (~p301(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[67, 1342])).
% 0.79/1.12 tff(1451,plain,
% 0.79/1.12 (p303(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[157, 1450, 1411, 125, 253])).
% 0.79/1.12 tff(1452,plain,
% 0.79/1.12 (~p403(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[318, 1451])).
% 0.79/1.12 tff(1453,plain,
% 0.79/1.12 (p402(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[322, 1452, 230, 229, 1413])).
% 0.79/1.12 tff(1454,plain,
% 0.79/1.12 (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[854, 1453])).
% 0.79/1.12 tff(1455,plain,
% 0.79/1.12 (~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[813, 1454])).
% 0.79/1.12 tff(1456,plain,
% 0.79/1.12 (![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[817, 1455, 795, 796, 797])).
% 0.79/1.12 tff(1457,plain,
% 0.79/1.12 (~p603(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[170, 1451])).
% 0.79/1.12 tff(1458,plain,
% 0.79/1.12 (~p602(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[437, 1453])).
% 0.79/1.12 tff(1459,plain,
% 0.79/1.12 (p604(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[440, 1458, 1348, 1416, 1457])).
% 0.79/1.12 tff(1460,plain,
% 0.79/1.12 (~(p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0))))),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[925, 1459])).
% 0.79/1.12 tff(1461,plain,
% 0.79/1.12 ($false),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[829, 1460, 1456])).
% 0.79/1.12 tff(1462,plain,((~p501(X!0)) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | p101(X!0) | p404(X!0) | p401(X!0) | p302(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.79/1.12 tff(1463,plain,
% 0.79/1.12 (~p501(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[1462, 253, 796, 797, 230, 229, 125, 795])).
% 0.79/1.12 tff(1464,plain,
% 0.79/1.12 (p504(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[134, 1463, 1434, 839, 62])).
% 0.79/1.12 tff(1465,plain,
% 0.79/1.12 (~(p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0))))),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[888, 1464])).
% 0.79/1.12 tff(1466,plain,
% 0.79/1.12 (~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[829, 1465])).
% 0.79/1.12 tff(1467,plain,
% 0.79/1.12 (![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[817, 1466, 795, 796, 797])).
% 0.79/1.12 tff(1468,plain,
% 0.79/1.12 (p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0)))),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[813, 1467])).
% 0.79/1.12 tff(1469,plain,
% 0.79/1.12 (~p402(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[854, 1468])).
% 0.79/1.12 tff(1470,plain,
% 0.79/1.12 (p403(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[322, 1469, 230, 229, 1413])).
% 0.79/1.12 tff(1471,plain,
% 0.79/1.12 (~p303(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[318, 1470])).
% 0.79/1.12 tff(1472,plain,
% 0.79/1.12 (p301(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[157, 1471, 1411, 125, 253])).
% 0.79/1.12 tff(1473,plain,
% 0.79/1.12 (~p602(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[991, 1468])).
% 0.79/1.12 tff(1474,plain,
% 0.79/1.12 (~p604(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[132, 1464])).
% 0.79/1.12 tff(1475,plain,
% 0.79/1.12 (~p603(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[544, 1470])).
% 0.79/1.12 tff(1476,plain,
% 0.79/1.12 (p601(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[440, 1475, 1474, 1416, 1473])).
% 0.79/1.12 tff(1477,plain,
% 0.79/1.12 ($false),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[867, 1476, 1472])).
% 0.79/1.12 tff(1478,plain,(![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | p302(X!0) | p404(X!0) | p401(X!0) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | p101(X!0) | p503(X!0) | p502(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.79/1.12 tff(1479,plain,
% 0.79/1.12 (![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[1478, 230, 125, 229, 795, 796, 797, 839, 62])).
% 0.79/1.12 tff(1480,plain,
% 0.79/1.12 (p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0)))),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[151, 1479])).
% 0.79/1.12 tff(1481,plain,
% 0.79/1.12 (~p504(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[426, 1480])).
% 0.79/1.12 tff(1482,plain,
% 0.79/1.12 (p501(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[134, 1481, 1434, 839, 62])).
% 0.79/1.12 tff(1483,plain,
% 0.79/1.12 (~p601(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[845, 1482])).
% 0.79/1.12 tff(1484,plain,
% 0.79/1.12 (~p604(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[139, 1480])).
% 0.79/1.12 tff(1485,plain,
% 0.79/1.12 (~(p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0))))),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[834, 1480])).
% 0.79/1.12 tff(1486,plain,
% 0.79/1.12 (~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[829, 1485])).
% 0.79/1.12 tff(1487,plain,
% 0.79/1.12 (![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[817, 1486, 795, 796, 797])).
% 0.79/1.12 tff(1488,plain,
% 0.79/1.12 (p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0)))),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[813, 1487])).
% 0.79/1.12 tff(1489,plain,
% 0.79/1.12 (~p602(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[991, 1488])).
% 0.79/1.12 tff(1490,plain,
% 0.79/1.12 (p603(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[440, 1489, 1484, 1416, 1483])).
% 0.79/1.12 tff(1491,plain,
% 0.79/1.12 (~p402(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[854, 1488])).
% 0.79/1.12 tff(1492,plain,
% 0.79/1.12 (p403(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[322, 1491, 230, 229, 1413])).
% 0.79/1.12 tff(1493,plain,
% 0.79/1.12 ($false),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[544, 1492, 1490])).
% 0.79/1.12 tff(1494,plain,(p404(X!0) | p401(X!0) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | p101(X!0) | p503(X!0) | p502(X!0) | p302(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.79/1.12 tff(1495,plain,
% 0.79/1.12 (p401(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[1494, 1449, 795, 796, 797, 839, 62, 125])).
% 0.79/1.12 tff(1496,plain,
% 0.79/1.12 (~p501(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[83, 1495])).
% 0.79/1.12 tff(1497,plain,
% 0.79/1.12 (p504(X!0)),
% 0.79/1.12 inference(unit_resolution,[status(thm)],[134, 1496, 1434, 839, 62])).
% 0.89/1.13 tff(1498,plain,
% 0.89/1.13 (~(p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0))))),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[888, 1497])).
% 0.89/1.13 tff(1499,plain,
% 0.89/1.13 (~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[829, 1498])).
% 0.89/1.13 tff(1500,plain,
% 0.89/1.13 (![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[817, 1499, 795, 796, 797])).
% 0.89/1.13 tff(1501,plain,
% 0.89/1.13 (p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0)))),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[813, 1500])).
% 0.89/1.13 tff(1502,plain,
% 0.89/1.13 (~p601(X!0)),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[78, 1495])).
% 0.89/1.13 tff(1503,plain,
% 0.89/1.13 (~p604(X!0)),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[132, 1497])).
% 0.89/1.13 tff(1504,plain,
% 0.89/1.13 (~p301(X!0)),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[73, 1495])).
% 0.89/1.13 tff(1505,plain,
% 0.89/1.13 (~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[426, 1497])).
% 0.89/1.13 tff(1506,plain,
% 0.89/1.13 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[151, 1505])).
% 0.89/1.13 tff(1507,plain,
% 0.89/1.13 (p303(X!0)),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[157, 1506, 1411, 125, 1504])).
% 0.89/1.13 tff(1508,plain,
% 0.89/1.13 (~p603(X!0)),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[170, 1507])).
% 0.89/1.13 tff(1509,plain,
% 0.89/1.13 (p602(X!0)),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[440, 1508, 1503, 1416, 1502])).
% 0.89/1.13 tff(1510,plain,
% 0.89/1.13 ($false),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[991, 1509, 1501])).
% 0.89/1.13 tff(1511,plain,(p302(X!0) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | p101(X!0) | p503(X!0) | p502(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.89/1.13 tff(1512,plain,
% 0.89/1.13 (p302(X!0)),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[1511, 62, 796, 797, 839, 795])).
% 0.89/1.13 tff(1513,plain,
% 0.89/1.13 (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[899, 1512])).
% 0.89/1.13 tff(1514,plain,
% 0.89/1.13 (~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[813, 1513])).
% 0.89/1.13 tff(1515,plain,
% 0.89/1.13 (![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[817, 1514, 795, 796, 797])).
% 0.89/1.13 tff(1516,plain,
% 0.89/1.13 (p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0)))),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[829, 1515])).
% 0.89/1.13 tff(1517,plain,
% 0.89/1.13 (~p404(X!0)),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[1021, 1516])).
% 0.89/1.13 tff(1518,plain,
% 0.89/1.13 (~p402(X!0)),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[705, 1512])).
% 0.89/1.13 tff(1519,plain,
% 0.89/1.13 (~p504(X!0)),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[888, 1516])).
% 0.89/1.13 tff(1520,plain,
% 0.89/1.13 (p501(X!0)),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[134, 1519, 1434, 839, 62])).
% 0.89/1.13 tff(1521,plain,
% 0.89/1.13 (~p401(X!0)),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[83, 1520])).
% 0.89/1.13 tff(1522,plain,
% 0.89/1.13 (p403(X!0)),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[322, 1521, 1518, 1517, 1413])).
% 0.89/1.13 tff(1523,plain,
% 0.89/1.13 (~p604(X!0)),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[925, 1516])).
% 0.89/1.13 tff(1524,plain,
% 0.89/1.13 (~p602(X!0)),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[715, 1512])).
% 0.89/1.13 tff(1525,plain,
% 0.89/1.13 (~p601(X!0)),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[845, 1520])).
% 0.89/1.13 tff(1526,plain,
% 0.89/1.13 (p603(X!0)),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[440, 1525, 1524, 1416, 1523])).
% 0.89/1.13 tff(1527,plain,
% 0.89/1.13 ($false),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[544, 1526, 1522])).
% 0.89/1.13 tff(1528,plain,(p502(X!0) | p503(X!0) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | p101(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.89/1.13 tff(1529,plain,
% 0.89/1.13 (p503(X!0)),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[1528, 1433, 795, 796, 797])).
% 0.89/1.13 tff(1530,plain,
% 0.89/1.13 (~p303(X!0)),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[162, 1529])).
% 0.89/1.13 tff(1531,plain,
% 0.89/1.13 (~p403(X!0)),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[341, 1529])).
% 0.89/1.13 tff(1532,plain,
% 0.89/1.13 (~p401(X!0)),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[73, 63])).
% 0.89/1.13 tff(1533,plain,
% 0.89/1.13 (p402(X!0)),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[322, 1532, 1531, 230, 1413])).
% 0.89/1.13 tff(1534,plain,
% 0.89/1.13 (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[854, 1533])).
% 0.89/1.13 tff(1535,plain,
% 0.89/1.13 (~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[813, 1534])).
% 0.89/1.13 tff(1536,plain,
% 0.89/1.13 (![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[817, 1535, 795, 796, 797])).
% 0.89/1.13 tff(1537,plain,
% 0.89/1.13 (~p601(X!0)),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[867, 63])).
% 0.89/1.13 tff(1538,plain,
% 0.89/1.13 (~p603(X!0)),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[177, 1529])).
% 0.89/1.13 tff(1539,plain,
% 0.89/1.13 (~p602(X!0)),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[437, 1533])).
% 0.89/1.13 tff(1540,plain,
% 0.89/1.13 (p604(X!0)),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[440, 1539, 1538, 1416, 1537])).
% 0.89/1.13 tff(1541,plain,
% 0.89/1.13 (~(p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0))))),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[925, 1540])).
% 0.89/1.13 tff(1542,plain,
% 0.89/1.13 ($false),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[829, 1541, 1536])).
% 0.89/1.13 tff(1543,plain,((~p301(X!0)) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | p101(X!0) | p404(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.89/1.13 tff(1544,plain,
% 0.89/1.13 (~p301(X!0)),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[1543, 230, 796, 797, 795])).
% 0.89/1.13 tff(1545,plain,
% 0.89/1.13 (![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[157, 1544, 1411, 1530, 125])).
% 0.89/1.13 tff(1546,plain,
% 0.89/1.13 (p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0)))),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[151, 1545])).
% 0.89/1.13 tff(1547,plain,
% 0.89/1.13 (~p604(X!0)),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[139, 1546])).
% 0.89/1.13 tff(1548,plain,
% 0.89/1.13 (~(p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0))))),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[834, 1546])).
% 0.89/1.13 tff(1549,plain,
% 0.89/1.13 (~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[829, 1548])).
% 0.89/1.13 tff(1550,plain,
% 0.89/1.13 (![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[817, 1549, 795, 796, 797])).
% 0.89/1.13 tff(1551,plain,
% 0.89/1.13 (p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0)))),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[813, 1550])).
% 0.89/1.13 tff(1552,plain,
% 0.89/1.13 (~p602(X!0)),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[991, 1551])).
% 0.89/1.13 tff(1553,plain,
% 0.89/1.13 (p601(X!0)),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[440, 1552, 1538, 1416, 1547])).
% 0.89/1.13 tff(1554,plain,
% 0.89/1.13 (~p402(X!0)),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[854, 1551])).
% 0.89/1.13 tff(1555,plain,
% 0.89/1.13 (p401(X!0)),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[322, 1554, 1531, 230, 1413])).
% 0.89/1.13 tff(1556,plain,
% 0.89/1.13 ($false),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[78, 1555, 1553])).
% 0.89/1.13 tff(1557,plain,(p404(X!0) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | p101(X!0) | p302(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.89/1.13 tff(1558,plain,
% 0.89/1.13 (p404(X!0)),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[1557, 125, 796, 797, 795])).
% 0.89/1.13 tff(1559,plain,
% 0.89/1.13 (~(p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0))))),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[1021, 1558])).
% 0.89/1.13 tff(1560,plain,
% 0.89/1.13 (~![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[829, 1559])).
% 0.89/1.13 tff(1561,plain,
% 0.89/1.13 (![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[817, 1560, 795, 796, 797])).
% 0.89/1.13 tff(1562,plain,
% 0.89/1.13 (p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0)))),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[813, 1561])).
% 0.89/1.13 tff(1563,plain,
% 0.89/1.13 (~p604(X!0)),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[627, 1558])).
% 0.89/1.13 tff(1564,plain,
% 0.89/1.13 (~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[637, 1558])).
% 0.89/1.13 tff(1565,plain,
% 0.89/1.13 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[151, 1564])).
% 0.89/1.13 tff(1566,plain,
% 0.89/1.13 (p301(X!0)),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[157, 1565, 1411, 1530, 125])).
% 0.89/1.13 tff(1567,plain,
% 0.89/1.13 (~p601(X!0)),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[867, 1566])).
% 0.89/1.13 tff(1568,plain,
% 0.89/1.13 (p602(X!0)),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[440, 1567, 1538, 1416, 1563])).
% 0.89/1.13 tff(1569,plain,
% 0.89/1.13 ($false),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[991, 1568, 1562])).
% 0.89/1.13 tff(1570,plain,(p302(X!0) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y))) | p101(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.89/1.13 tff(1571,plain,
% 0.89/1.13 (p302(X!0)),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[1570, 797, 796, 795])).
% 0.89/1.13 tff(1572,plain,
% 0.89/1.13 (~p602(X!0)),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[715, 1571])).
% 0.89/1.13 tff(1573,plain,
% 0.89/1.13 (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[899, 1571])).
% 0.89/1.13 tff(1574,plain,
% 0.89/1.13 (~![Y: $i] : (p102(Y) | (~r1(X!0, Y)))),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[813, 1573])).
% 0.89/1.13 tff(1575,plain,
% 0.89/1.13 (![Y: $i] : (p104(Y) | (~r1(X!0, Y)))),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[817, 1574, 795, 796, 797])).
% 0.89/1.13 tff(1576,plain,
% 0.89/1.13 (p104(tptp_fun_X_7(X!0)) | (~r1(X!0, tptp_fun_X_7(X!0)))),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[829, 1575])).
% 0.89/1.13 tff(1577,plain,
% 0.89/1.13 (~p604(X!0)),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[925, 1576])).
% 0.89/1.13 tff(1578,plain,
% 0.89/1.13 (p601(X!0)),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[440, 1577, 1538, 1416, 1572])).
% 0.89/1.13 tff(1579,plain,
% 0.89/1.13 (~p402(X!0)),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[705, 1571])).
% 0.89/1.13 tff(1580,plain,
% 0.89/1.13 (~p404(X!0)),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[1021, 1576])).
% 0.89/1.13 tff(1581,plain,
% 0.89/1.13 (p401(X!0)),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[322, 1580, 1531, 1579, 1413])).
% 0.89/1.13 tff(1582,plain,
% 0.89/1.13 ($false),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[78, 1581, 1578])).
% 0.89/1.13 tff(1583,plain,(p101(X!0) | ![Y: $i] : (p103(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.89/1.13 tff(1584,plain,
% 0.89/1.13 (![Y: $i] : (p103(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[1583, 794])).
% 0.89/1.13 tff(1585,plain,
% 0.89/1.13 (![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[1584, 202])).
% 0.89/1.13 tff(1586,plain,
% 0.89/1.13 (((~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))) | (p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))) <=> ((~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))) | p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))),
% 0.89/1.13 inference(rewrite,[status(thm)],[])).
% 0.89/1.13 tff(1587,plain,
% 0.89/1.13 ((~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))) | (p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))),
% 0.89/1.13 inference(quant_inst,[status(thm)],[])).
% 0.89/1.13 tff(1588,plain,
% 0.89/1.13 ((~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))) | p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0)))),
% 0.89/1.13 inference(modus_ponens,[status(thm)],[1587, 1586])).
% 0.89/1.13 tff(1589,plain,
% 0.89/1.13 ($false),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[1588, 1585, 184, 182])).
% 0.89/1.13 tff(1590,plain,((~p603(X!0)) | p501(X!0) | p502(X!0) | p504(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.89/1.13 tff(1591,plain,
% 0.89/1.13 (p504(X!0)),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[1590, 166, 62, 90])).
% 0.89/1.13 tff(1592,plain,
% 0.89/1.13 (~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[426, 1591])).
% 0.89/1.13 tff(1593,plain,
% 0.89/1.13 ($false),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[151, 1592, 172])).
% 0.89/1.13 tff(1594,plain,((~p603(X!0)) | p302(X!0) | p301(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p502(X!0) | p501(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.89/1.13 tff(1595,plain,
% 0.89/1.13 (~p603(X!0)),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[1594, 125, 1, 124, 62, 90])).
% 0.89/1.13 tff(1596,plain,
% 0.89/1.13 (p602(X!0)),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[440, 1595, 61, 165, 126])).
% 0.89/1.13 tff(1597,plain,
% 0.89/1.13 (~p202(X!0)),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[534, 1596])).
% 0.89/1.13 tff(1598,assumption,(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0)))), introduced(assumption)).
% 0.89/1.13 tff(1599,plain,
% 0.89/1.13 (~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[431, 1598])).
% 0.89/1.13 tff(1600,plain,
% 0.89/1.13 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[151, 1599])).
% 0.89/1.13 tff(1601,plain,
% 0.89/1.13 (~p504(X!0)),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[479, 1598])).
% 0.89/1.13 tff(1602,plain,
% 0.89/1.13 (p503(X!0)),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[134, 1601, 90, 62, 127])).
% 0.89/1.13 tff(1603,plain,
% 0.89/1.13 (~p303(X!0)),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[162, 1602])).
% 0.89/1.13 tff(1604,plain,
% 0.89/1.13 ($false),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[157, 1603, 1600, 125, 1, 124])).
% 0.89/1.13 tff(1605,plain,((~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))) | p302(X!0) | p301(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p501(X!0) | p502(X!0) | p505(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.89/1.13 tff(1606,plain,
% 0.89/1.13 (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[1605, 125, 1, 124, 90, 62, 127])).
% 0.89/1.13 tff(1607,plain,
% 0.89/1.13 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[250, 1606])).
% 0.89/1.13 tff(1608,plain,
% 0.89/1.13 (![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[333, 1607, 2, 1597, 97])).
% 0.89/1.13 tff(1609,plain,
% 0.89/1.13 (p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0)))),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[59, 1608])).
% 0.89/1.13 tff(1610,plain,
% 0.89/1.13 (~p303(X!0)),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[311, 1609])).
% 0.89/1.13 tff(1611,plain,
% 0.89/1.13 (![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[157, 1610, 125, 1, 124])).
% 0.89/1.13 tff(1612,plain,
% 0.89/1.13 (~p503(X!0)),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[357, 1609])).
% 0.89/1.13 tff(1613,plain,
% 0.89/1.13 (p504(X!0)),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[134, 1612, 90, 62, 127])).
% 0.89/1.13 tff(1614,plain,
% 0.89/1.13 (~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[426, 1613])).
% 0.89/1.13 tff(1615,plain,
% 0.89/1.13 ($false),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[151, 1614, 1611])).
% 0.89/1.13 tff(1616,plain,(p302(X!0) | p301(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p501(X!0) | p502(X!0) | p505(X!0) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p201(X!0) | p601(X!0) | p605(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.89/1.13 tff(1617,plain,
% 0.89/1.13 (p302(X!0)),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[1616, 123, 1, 90, 62, 102, 2, 97, 61, 96])).
% 0.89/1.13 tff(1618,plain,
% 0.89/1.13 (~p602(X!0)),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[715, 1617])).
% 0.89/1.13 tff(1619,plain,
% 0.89/1.13 (~p202(X!0)),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[710, 1617])).
% 0.89/1.13 tff(1620,plain,
% 0.89/1.13 (![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[333, 251, 2, 663, 97])).
% 0.89/1.13 tff(1621,plain,
% 0.89/1.13 (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[357, 135])).
% 0.89/1.13 tff(1622,plain,
% 0.89/1.13 ($false),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[59, 1621, 1620])).
% 0.89/1.13 tff(1623,plain,((~p604(X!0)) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p202(X!0) | p201(X!0) | p501(X!0) | p502(X!0) | p505(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.89/1.13 tff(1624,plain,
% 0.89/1.13 (~p604(X!0)),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[1623, 1619, 2, 97, 90, 62, 102])).
% 0.89/1.13 tff(1625,plain,
% 0.89/1.13 (p603(X!0)),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[440, 1624, 61, 1618, 96])).
% 0.89/1.13 tff(1626,plain,
% 0.89/1.13 (p504(X!0)),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[1590, 1625, 62, 90])).
% 0.89/1.13 tff(1627,plain,
% 0.89/1.13 (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[479, 1626])).
% 0.89/1.13 tff(1628,plain,
% 0.89/1.13 (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[512, 1625])).
% 0.89/1.13 tff(1629,plain,
% 0.89/1.13 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[59, 1628])).
% 0.89/1.13 tff(1630,plain,
% 0.89/1.13 (![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[333, 1629, 2, 1619, 97])).
% 0.89/1.13 tff(1631,plain,
% 0.89/1.13 ($false),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[250, 1630, 1627])).
% 0.89/1.13 tff(1632,plain,((~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p201(X!0) | p502(X!0) | p501(X!0) | p601(X!0) | p301(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.89/1.13 tff(1633,plain,
% 0.89/1.13 (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[1632, 2, 89, 62, 84, 79, 74])).
% 0.89/1.13 tff(1634,assumption,(![Y: $i] : (p105(Y) | (~r1(X!0, Y)))), introduced(assumption)).
% 0.89/1.13 tff(1635,assumption,(~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))), introduced(assumption)).
% 0.89/1.13 tff(1636,plain,
% 0.89/1.13 (~p105(tptp_fun_X_4(X!0))),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[183, 1635])).
% 0.89/1.13 tff(1637,plain,
% 0.89/1.13 (r1(X!0, tptp_fun_X_4(X!0))),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[181, 1635])).
% 0.89/1.13 tff(1638,assumption,(r1(X!0, tptp_fun_X_4(X!0))), introduced(assumption)).
% 0.89/1.13 tff(1639,assumption,(~p105(tptp_fun_X_4(X!0))), introduced(assumption)).
% 0.89/1.13 tff(1640,plain,
% 0.89/1.13 ($false),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[1588, 1634, 1639, 1638])).
% 0.89/1.13 tff(1641,plain,((~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))) | p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0)))), inference(lemma,lemma(discharge,[]))).
% 0.89/1.13 tff(1642,plain,
% 0.89/1.13 ($false),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[1641, 1637, 1636, 1634])).
% 0.89/1.13 tff(1643,plain,((p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0)))) | (~![Y: $i] : (p105(Y) | (~r1(X!0, Y))))), inference(lemma,lemma(discharge,[]))).
% 0.89/1.13 tff(1644,plain,
% 0.89/1.13 (~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[1643, 1633])).
% 0.89/1.13 tff(1645,plain,
% 0.89/1.13 (![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[1584, 1644])).
% 0.89/1.13 tff(1646,assumption,(~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))), introduced(assumption)).
% 0.89/1.13 tff(1647,plain,
% 0.89/1.13 (~p103(tptp_fun_X_9(X!0))),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[192, 1646])).
% 0.89/1.13 tff(1648,plain,
% 0.89/1.13 (r1(X!0, tptp_fun_X_9(X!0))),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[190, 1646])).
% 0.89/1.13 tff(1649,plain,
% 0.89/1.13 ($false),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[201, 1648, 1647, 196])).
% 0.89/1.13 tff(1650,plain,((p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0)))) | (~![Y: $i] : (p103(Y) | (~r1(X!0, Y))))), inference(lemma,lemma(discharge,[]))).
% 0.89/1.13 tff(1651,plain,
% 0.89/1.13 (p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0)))),
% 0.89/1.13 inference(unit_resolution,[status(thm)],[1650, 1645])).
% 0.89/1.13 tff(1652,plain,
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% 0.89/1.14 inference(tautology,[status(thm)],[])).
% 0.89/1.14 tff(1653,plain,
% 0.89/1.14 ((~p503(X!0)) | (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0)))))),
% 0.89/1.14 inference(unit_resolution,[status(thm)],[1652, 43])).
% 0.89/1.14 tff(1654,plain,
% 0.89/1.14 ((~((~p503(X!0)) | (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))))) | (~p503(X!0)) | (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0)))))),
% 0.89/1.14 inference(tautology,[status(thm)],[])).
% 0.89/1.14 tff(1655,plain,
% 0.89/1.14 ((~p503(X!0)) | (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0)))))),
% 0.89/1.14 inference(unit_resolution,[status(thm)],[1654, 1653])).
% 0.89/1.14 tff(1656,plain,
% 0.89/1.14 (~p503(X!0)),
% 0.89/1.14 inference(unit_resolution,[status(thm)],[1655, 1651])).
% 0.89/1.14 tff(1657,plain,
% 0.89/1.14 (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))),
% 0.89/1.14 inference(unit_resolution,[status(thm)],[47, 1651])).
% 0.89/1.14 tff(1658,plain,
% 0.89/1.14 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.89/1.14 inference(unit_resolution,[status(thm)],[59, 1657])).
% 0.89/1.14 tff(1659,plain,
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(~r1(X!0, tptp_fun_X_8(X!0))))) | (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))))) | (~((~p602(X!0)) | (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))))) | (~((~p502(X!0)) | (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))))) | (~((~p402(X!0)) | (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))))) | (~((~p302(X!0)) | (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))))) | (~((~p202(X!0)) | (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))))) | (~((~p202(X!0)) | (~p402(X!0)))) | (~((~p202(X!0)) | (~p502(X!0)))) | (~((~p202(X!0)) | (~p602(X!0)))) | (~((~p302(X!0)) | (~p402(X!0)))) | (~((~p302(X!0)) | (~p502(X!0)))) | (~((~p302(X!0)) | (~p602(X!0)))) | (~((~p402(X!0)) | (~p502(X!0)))) | (~((~p402(X!0)) | (~p602(X!0)))) | (~((~p502(X!0)) | (~p602(X!0)))) | (~((~p303(X!0)) | (~p503(X!0)))) | (~((~p303(X!0)) | (~p603(X!0)))) | (~((~p403(X!0)) | (~p503(X!0)))) | (~((~p403(X!0)) | (~p603(X!0)))) | (~((~p503(X!0)) | (~p603(X!0)))) | (~((~p404(X!0)) | (~p604(X!0)))) | (~((~p504(X!0)) | (~p604(X!0))))) | ((~p303(X!0)) | (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))))),
% 0.89/1.14 inference(tautology,[status(thm)],[])).
% 0.89/1.14 tff(1660,plain,
% 0.89/1.14 ((~p303(X!0)) | (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0)))))),
% 0.89/1.14 inference(unit_resolution,[status(thm)],[1659, 43])).
% 0.89/1.14 tff(1661,plain,
% 0.89/1.14 ((~((~p303(X!0)) | (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))))) | (~p303(X!0)) | (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0)))))),
% 0.89/1.14 inference(tautology,[status(thm)],[])).
% 0.89/1.14 tff(1662,plain,
% 0.89/1.14 ((~p303(X!0)) | (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0)))))),
% 0.89/1.14 inference(unit_resolution,[status(thm)],[1661, 1660])).
% 0.89/1.14 tff(1663,plain,
% 0.89/1.14 (~p303(X!0)),
% 0.89/1.14 inference(unit_resolution,[status(thm)],[1662, 1651])).
% 0.89/1.14 tff(1664,plain,
% 0.89/1.14 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.89/1.14 inference(unit_resolution,[status(thm)],[157, 152, 379, 1, 125])).
% 0.89/1.14 tff(1665,plain,
% 0.89/1.14 (p505(X!0)),
% 0.89/1.14 inference(unit_resolution,[status(thm)],[134, 133, 90, 62, 839])).
% 0.89/1.14 tff(1666,plain,
% 0.89/1.14 (~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))),
% 0.89/1.14 inference(unit_resolution,[status(thm)],[304, 1665])).
% 0.89/1.14 tff(1667,plain,
% 0.89/1.14 ($false),
% 0.89/1.14 inference(unit_resolution,[status(thm)],[122, 1666, 1664])).
% 0.89/1.14 tff(1668,plain,((~p604(X!0)) | p303(X!0) | p301(X!0) | p302(X!0) | p501(X!0) | p502(X!0) | p503(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.89/1.14 tff(1669,plain,
% 0.89/1.14 (~p604(X!0)),
% 0.89/1.14 inference(unit_resolution,[status(thm)],[1668, 125, 74, 1663, 84, 62, 1656])).
% 0.89/1.14 tff(1670,plain,
% 0.89/1.14 (~p503(X!0)),
% 0.89/1.14 inference(unit_resolution,[status(thm)],[1655, 5])).
% 0.89/1.14 tff(1671,plain,
% 0.89/1.14 (~p603(X!0)),
% 0.89/1.14 inference(unit_resolution,[status(thm)],[188, 5])).
% 0.89/1.14 tff(1672,plain,
% 0.89/1.14 (p504(X!0)),
% 0.89/1.14 inference(unit_resolution,[status(thm)],[950, 3, 62, 69, 1671, 1670, 439])).
% 0.89/1.14 tff(1673,plain,
% 0.89/1.14 (~p303(X!0)),
% 0.89/1.14 inference(unit_resolution,[status(thm)],[1662, 5])).
% 0.89/1.14 tff(1674,plain,
% 0.89/1.14 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.89/1.14 inference(unit_resolution,[status(thm)],[157, 1673, 1, 125, 253])).
% 0.89/1.14 tff(1675,plain,
% 0.89/1.14 (p605(X!0)),
% 0.89/1.14 inference(unit_resolution,[status(thm)],[440, 1671, 61, 439, 3])).
% 0.89/1.14 tff(1676,plain,
% 0.89/1.14 (~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))),
% 0.89/1.14 inference(unit_resolution,[status(thm)],[445, 1675])).
% 0.89/1.14 tff(1677,plain,
% 0.89/1.14 ($false),
% 0.89/1.14 inference(unit_resolution,[status(thm)],[122, 1676, 1674])).
% 0.89/1.14 tff(1678,plain,((~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))) | p301(X!0) | p302(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | p601(X!0) | p602(X!0) | p604(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.89/1.14 tff(1679,plain,
% 0.89/1.14 (![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.89/1.14 inference(unit_resolution,[status(thm)],[1678, 3, 79, 5, 74, 439, 125])).
% 0.89/1.14 tff(1680,plain,
% 0.89/1.14 (p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0)))),
% 0.89/1.14 inference(unit_resolution,[status(thm)],[151, 1679])).
% 0.89/1.14 tff(1681,plain,
% 0.89/1.14 ($false),
% 0.89/1.14 inference(unit_resolution,[status(thm)],[426, 1680, 1672])).
% 0.89/1.14 tff(1682,plain,(p604(X!0) | p502(X!0) | (~p401(X!0)) | p602(X!0) | (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))) | p302(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.89/1.14 tff(1683,plain,
% 0.89/1.14 (p602(X!0)),
% 0.89/1.14 inference(unit_resolution,[status(thm)],[1682, 1669, 69, 62, 1651, 125])).
% 0.89/1.14 tff(1684,plain,
% 0.89/1.14 (~p202(X!0)),
% 0.89/1.14 inference(unit_resolution,[status(thm)],[534, 1683])).
% 0.89/1.14 tff(1685,plain,
% 0.89/1.14 (![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.89/1.14 inference(unit_resolution,[status(thm)],[333, 1684, 2, 1658, 89])).
% 0.89/1.14 tff(1686,plain,
% 0.89/1.14 (p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0)))),
% 0.89/1.14 inference(unit_resolution,[status(thm)],[250, 1685])).
% 0.89/1.14 tff(1687,plain,
% 0.89/1.14 (~p504(X!0)),
% 0.89/1.14 inference(unit_resolution,[status(thm)],[479, 1686])).
% 0.89/1.14 tff(1688,plain,
% 0.89/1.14 (p505(X!0)),
% 0.89/1.14 inference(unit_resolution,[status(thm)],[134, 1687, 84, 62, 1656])).
% 0.89/1.14 tff(1689,plain,
% 0.89/1.14 (~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))),
% 0.89/1.14 inference(unit_resolution,[status(thm)],[304, 1688])).
% 0.89/1.14 tff(1690,plain,
% 0.89/1.14 (~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))),
% 0.89/1.14 inference(unit_resolution,[status(thm)],[431, 1686])).
% 0.89/1.14 tff(1691,plain,
% 0.89/1.14 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.89/1.14 inference(unit_resolution,[status(thm)],[151, 1690])).
% 0.89/1.14 tff(1692,plain,
% 0.89/1.14 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.89/1.14 inference(unit_resolution,[status(thm)],[157, 1691, 1663, 74, 125])).
% 0.89/1.14 tff(1693,plain,
% 0.89/1.14 ($false),
% 0.89/1.14 inference(unit_resolution,[status(thm)],[122, 1692, 1689])).
% 0.89/1.14 tff(1694,plain,(p302(X!0) | p502(X!0) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | (~p401(X!0))), inference(lemma,lemma(discharge,[]))).
% 0.89/1.14 tff(1695,plain,
% 0.89/1.14 (p302(X!0)),
% 0.89/1.14 inference(unit_resolution,[status(thm)],[1694, 2, 62, 69])).
% 0.89/1.14 tff(1696,plain,
% 0.89/1.14 (~p602(X!0)),
% 0.89/1.14 inference(unit_resolution,[status(thm)],[715, 1695])).
% 0.89/1.14 tff(1697,plain,
% 0.89/1.14 (~p603(X!0)),
% 0.89/1.14 inference(unit_resolution,[status(thm)],[188, 1651])).
% 0.89/1.14 tff(1698,plain,
% 0.89/1.14 (~p202(X!0)),
% 0.89/1.14 inference(unit_resolution,[status(thm)],[710, 1695])).
% 0.89/1.14 tff(1699,plain,
% 0.89/1.14 (![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.89/1.14 inference(unit_resolution,[status(thm)],[333, 1698, 2, 1658, 89])).
% 0.89/1.14 tff(1700,plain,
% 0.89/1.14 (p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0)))),
% 0.89/1.14 inference(unit_resolution,[status(thm)],[250, 1699])).
% 0.89/1.14 tff(1701,plain,
% 0.89/1.14 (~p604(X!0)),
% 0.89/1.14 inference(unit_resolution,[status(thm)],[234, 1700])).
% 0.89/1.14 tff(1702,plain,
% 0.89/1.14 (~p504(X!0)),
% 0.89/1.14 inference(unit_resolution,[status(thm)],[479, 1700])).
% 0.89/1.14 tff(1703,plain,
% 0.89/1.14 ($false),
% 0.89/1.14 inference(unit_resolution,[status(thm)],[950, 1702, 1701, 62, 69, 1697, 1656, 1696])).
% 0.89/1.14 tff(1704,plain,(![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p502(X!0) | (~p401(X!0))), inference(lemma,lemma(discharge,[]))).
% 0.89/1.14 tff(1705,plain,
% 0.89/1.14 (![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.89/1.14 inference(unit_resolution,[status(thm)],[1704, 69, 62])).
% 0.89/1.14 tff(1706,plain,
% 0.89/1.14 (p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0)))),
% 0.89/1.14 inference(unit_resolution,[status(thm)],[299, 1705])).
% 0.89/1.14 tff(1707,plain,
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% 0.89/1.15 inference(tautology,[status(thm)],[])).
% 0.89/1.15 tff(1744,plain,
% 0.89/1.15 ((~p403(X!0)) | (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0)))))),
% 0.89/1.15 inference(unit_resolution,[status(thm)],[1743, 43])).
% 0.89/1.15 tff(1745,plain,
% 0.89/1.15 ((~((~p403(X!0)) | (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))))) | (~p403(X!0)) | (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0)))))),
% 0.89/1.15 inference(tautology,[status(thm)],[])).
% 0.89/1.15 tff(1746,plain,
% 0.89/1.15 ((~p403(X!0)) | (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0)))))),
% 0.89/1.15 inference(unit_resolution,[status(thm)],[1745, 1744])).
% 0.89/1.15 tff(1747,plain,
% 0.89/1.15 (~p403(X!0)),
% 0.89/1.15 inference(unit_resolution,[status(thm)],[1746, 1737])).
% 0.89/1.15 tff(1748,plain,
% 0.89/1.15 (p402(X!0)),
% 0.89/1.15 inference(unit_resolution,[status(thm)],[322, 1747, 229, 1742, 230])).
% 0.89/1.15 tff(1749,plain,
% 0.89/1.15 (~p302(X!0)),
% 0.89/1.15 inference(unit_resolution,[status(thm)],[705, 1748])).
% 0.89/1.15 tff(1750,plain,
% 0.89/1.15 (~p602(X!0)),
% 0.89/1.15 inference(unit_resolution,[status(thm)],[437, 1748])).
% 0.89/1.15 tff(1751,plain,
% 0.89/1.15 (~p603(X!0)),
% 0.89/1.15 inference(unit_resolution,[status(thm)],[1590, 173, 62, 90])).
% 0.89/1.15 tff(1752,plain,
% 0.89/1.15 (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))),
% 0.89/1.15 inference(unit_resolution,[status(thm)],[95, 646])).
% 0.89/1.15 tff(1753,plain,
% 0.89/1.15 (r1(X!0, tptp_fun_X_4(X!0))),
% 0.89/1.15 inference(unit_resolution,[status(thm)],[181, 1752])).
% 0.89/1.15 tff(1754,plain,
% 0.89/1.15 (~p105(tptp_fun_X_4(X!0))),
% 0.89/1.15 inference(unit_resolution,[status(thm)],[183, 1752])).
% 0.89/1.15 tff(1755,plain,
% 0.89/1.15 (p503(X!0)),
% 0.89/1.15 inference(unit_resolution,[status(thm)],[134, 649, 90, 62, 173])).
% 0.89/1.15 tff(1756,plain,
% 0.89/1.15 (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))),
% 0.89/1.15 inference(unit_resolution,[status(thm)],[1655, 1755])).
% 0.89/1.15 tff(1757,plain,
% 0.89/1.15 (r1(X!0, tptp_fun_X_9(X!0))),
% 0.89/1.15 inference(unit_resolution,[status(thm)],[190, 1756])).
% 0.89/1.15 tff(1758,plain,
% 0.89/1.15 (~p103(tptp_fun_X_9(X!0))),
% 0.89/1.15 inference(unit_resolution,[status(thm)],[192, 1756])).
% 0.89/1.15 tff(1759,plain,
% 0.89/1.15 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.89/1.15 inference(unit_resolution,[status(thm)],[201, 1758, 1757])).
% 0.89/1.15 tff(1760,plain,
% 0.89/1.15 (![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.89/1.15 inference(unit_resolution,[status(thm)],[1584, 1759])).
% 0.89/1.15 tff(1761,plain,
% 0.89/1.15 ($false),
% 0.89/1.15 inference(unit_resolution,[status(thm)],[1588, 1760, 1754, 1753])).
% 0.89/1.15 tff(1762,plain,((~p605(X!0)) | p501(X!0) | p502(X!0) | p504(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.89/1.15 tff(1763,plain,
% 0.89/1.15 (~p605(X!0)),
% 0.89/1.15 inference(unit_resolution,[status(thm)],[1762, 173, 62, 90])).
% 0.89/1.15 tff(1764,plain,
% 0.89/1.15 (~p202(X!0)),
% 0.89/1.15 inference(unit_resolution,[status(thm)],[327, 1748])).
% 0.89/1.15 tff(1765,plain,
% 0.89/1.15 (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))),
% 0.89/1.15 inference(unit_resolution,[status(thm)],[47, 1737])).
% 0.89/1.15 tff(1766,plain,
% 0.89/1.15 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.89/1.15 inference(unit_resolution,[status(thm)],[59, 1765])).
% 0.89/1.15 tff(1767,plain,
% 0.89/1.15 (~(p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0))))),
% 0.89/1.15 inference(unit_resolution,[status(thm)],[287, 1731])).
% 0.89/1.15 tff(1768,plain,
% 0.89/1.16 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[299, 1767])).
% 0.89/1.16 tff(1769,plain,
% 0.89/1.16 (![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[878, 840, 62, 839, 173, 125, 379])).
% 0.89/1.16 tff(1770,plain,
% 0.89/1.16 (p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0)))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[151, 1769])).
% 0.89/1.16 tff(1771,plain,
% 0.89/1.16 (![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[333, 1368, 2, 1042, 663])).
% 0.89/1.16 tff(1772,plain,
% 0.89/1.16 (p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0)))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[250, 1771])).
% 0.89/1.16 tff(1773,plain,
% 0.89/1.16 ($false),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[431, 1772, 1770])).
% 0.89/1.16 tff(1774,plain,((~p601(X!0)) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | p202(X!0) | p502(X!0) | p503(X!0) | p504(X!0) | p302(X!0) | p303(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.89/1.16 tff(1775,plain,
% 0.89/1.16 (~p601(X!0)),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[1774, 1768, 1766, 1764, 62, 839, 173, 1749, 1738])).
% 0.89/1.16 tff(1776,plain,
% 0.89/1.16 (p604(X!0)),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[440, 1775, 1763, 1751, 1750])).
% 0.89/1.16 tff(1777,plain,
% 0.89/1.16 (~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[139, 1776])).
% 0.89/1.16 tff(1778,plain,
% 0.89/1.16 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[151, 1777])).
% 0.89/1.16 tff(1779,plain,
% 0.89/1.16 (p301(X!0)),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[157, 1778, 1749, 1740, 1738])).
% 0.89/1.16 tff(1780,plain,
% 0.89/1.16 (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[234, 1776])).
% 0.89/1.16 tff(1781,plain,
% 0.89/1.16 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[250, 1780])).
% 0.89/1.16 tff(1782,plain,
% 0.89/1.16 (p201(X!0)),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[333, 1781, 1768, 1766, 1764])).
% 0.89/1.16 tff(1783,plain,
% 0.89/1.16 ($false),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[1097, 1782, 1779])).
% 0.89/1.16 tff(1784,plain,(p503(X!0) | p502(X!0) | p504(X!0) | p401(X!0) | p404(X!0) | p501(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.89/1.16 tff(1785,plain,
% 0.89/1.16 (p503(X!0)),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[1784, 173, 62, 229, 230, 90])).
% 0.89/1.16 tff(1786,plain,
% 0.89/1.16 (~p403(X!0)),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[341, 1785])).
% 0.89/1.16 tff(1787,plain,
% 0.89/1.16 (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[1655, 1785])).
% 0.89/1.16 tff(1788,plain,
% 0.89/1.16 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[1650, 1787])).
% 0.89/1.16 tff(1789,plain,
% 0.89/1.16 (![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[1584, 1788])).
% 0.89/1.16 tff(1790,plain,
% 0.89/1.16 (p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0)))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[1643, 1789])).
% 0.89/1.16 tff(1791,plain,
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(~r1(X!0, tptp_fun_X_8(X!0))))) | (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))))) | (~((~p602(X!0)) | (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))))) | (~((~p502(X!0)) | (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))))) | (~((~p402(X!0)) | (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))))) | (~((~p302(X!0)) | (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))))) | (~((~p202(X!0)) | (~(p102(tptp_fun_X_10(X!0)) | (~r1(X!0, tptp_fun_X_10(X!0))))))) | (~((~p202(X!0)) | (~p402(X!0)))) | (~((~p202(X!0)) | (~p502(X!0)))) | (~((~p202(X!0)) | (~p602(X!0)))) | (~((~p302(X!0)) | (~p402(X!0)))) | (~((~p302(X!0)) | (~p502(X!0)))) | (~((~p302(X!0)) | (~p602(X!0)))) | (~((~p402(X!0)) | (~p502(X!0)))) | (~((~p402(X!0)) | (~p602(X!0)))) | (~((~p502(X!0)) | (~p602(X!0)))) | (~((~p303(X!0)) | (~p503(X!0)))) | (~((~p303(X!0)) | (~p603(X!0)))) | (~((~p403(X!0)) | (~p503(X!0)))) | (~((~p403(X!0)) | (~p603(X!0)))) | (~((~p503(X!0)) | (~p603(X!0)))) | (~((~p404(X!0)) | (~p604(X!0)))) | (~((~p504(X!0)) | (~p604(X!0))))) | ((~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))) | (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))))),
% 0.89/1.16 inference(tautology,[status(thm)],[])).
% 0.89/1.16 tff(1792,plain,
% 0.89/1.16 ((~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))) | (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0)))))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[1791, 43])).
% 0.89/1.16 tff(1793,plain,
% 0.89/1.16 ((~((~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))) | (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))))) | (~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))) | (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0)))))),
% 0.89/1.16 inference(tautology,[status(thm)],[])).
% 0.89/1.16 tff(1794,plain,
% 0.89/1.16 ((~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))) | (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0)))))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[1793, 1792])).
% 0.89/1.16 tff(1795,plain,
% 0.89/1.16 (~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[1794, 1790])).
% 0.89/1.16 tff(1796,plain,
% 0.89/1.16 (~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[281, 1795])).
% 0.89/1.16 tff(1797,plain,
% 0.89/1.16 (p402(X!0)),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[322, 1796, 229, 1786, 230])).
% 0.89/1.16 tff(1798,plain,
% 0.89/1.16 (~(p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0))))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[1710, 1790])).
% 0.89/1.16 tff(1799,plain,
% 0.89/1.16 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[299, 1798])).
% 0.89/1.16 tff(1800,plain,
% 0.89/1.16 (~p505(X!0)),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[101, 1790])).
% 0.89/1.16 tff(1801,plain,
% 0.89/1.16 (~p602(X!0)),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[437, 1797])).
% 0.89/1.16 tff(1802,plain,
% 0.89/1.16 (~p303(X!0)),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[162, 1785])).
% 0.89/1.16 tff(1803,plain,
% 0.89/1.16 (~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[106, 1790])).
% 0.89/1.16 tff(1804,plain,
% 0.89/1.16 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[122, 1803])).
% 0.89/1.16 tff(1805,plain,
% 0.89/1.16 (~p302(X!0)),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[705, 1797])).
% 0.89/1.16 tff(1806,plain,
% 0.89/1.16 (~p202(X!0)),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[327, 1797])).
% 0.89/1.16 tff(1807,plain,
% 0.89/1.16 (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[357, 1785])).
% 0.89/1.16 tff(1808,plain,
% 0.89/1.16 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[59, 1807])).
% 0.89/1.16 tff(1809,plain,
% 0.89/1.16 (p301(X!0)),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[157, 152, 125, 124, 379])).
% 0.89/1.16 tff(1810,plain,
% 0.89/1.16 (p201(X!0)),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[333, 251, 2, 1042, 663])).
% 0.89/1.16 tff(1811,plain,
% 0.89/1.16 ($false),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[1097, 1810, 1809])).
% 0.89/1.16 tff(1812,plain,((~p604(X!0)) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | p202(X!0) | p302(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | p303(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.89/1.16 tff(1813,plain,
% 0.89/1.16 (~p604(X!0)),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[1812, 1799, 1808, 1806, 1805, 1804, 1802])).
% 0.89/1.16 tff(1814,plain,
% 0.89/1.16 (p601(X!0)),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[440, 1813, 1763, 1751, 1801])).
% 0.89/1.16 tff(1815,plain,
% 0.89/1.16 (~p201(X!0)),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[1067, 1814])).
% 0.89/1.16 tff(1816,plain,
% 0.89/1.16 (![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[359, 1815, 90, 173, 1800, 1799, 1797])).
% 0.89/1.16 tff(1817,plain,
% 0.89/1.16 (p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0)))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[250, 1816])).
% 0.89/1.16 tff(1818,plain,
% 0.89/1.16 (~p301(X!0)),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[867, 1814])).
% 0.89/1.16 tff(1819,plain,
% 0.89/1.16 (![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[157, 1818, 1805, 1804, 1802])).
% 0.89/1.16 tff(1820,plain,
% 0.89/1.16 (p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0)))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[151, 1819])).
% 0.89/1.16 tff(1821,plain,
% 0.89/1.16 ($false),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[431, 1820, 1817])).
% 0.89/1.16 tff(1822,plain,(p504(X!0) | p501(X!0) | p401(X!0) | p404(X!0) | p502(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.89/1.16 tff(1823,plain,
% 0.89/1.16 (p501(X!0)),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[1822, 173, 229, 230, 62])).
% 0.89/1.16 tff(1824,plain,
% 0.89/1.16 (~p201(X!0)),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[1060, 1823])).
% 0.89/1.16 tff(1825,plain,
% 0.89/1.16 (~p403(X!0)),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[544, 166])).
% 0.89/1.16 tff(1826,plain,
% 0.89/1.16 (![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[322, 1825, 229, 495, 230])).
% 0.89/1.16 tff(1827,plain,
% 0.89/1.16 (p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0)))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[281, 1826])).
% 0.89/1.16 tff(1828,plain,
% 0.89/1.16 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[1650, 189])).
% 0.89/1.16 tff(1829,plain,
% 0.89/1.16 (![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[1584, 1828])).
% 0.89/1.16 tff(1830,plain,
% 0.89/1.16 (p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0)))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[1643, 1829])).
% 0.89/1.16 tff(1831,plain,
% 0.89/1.16 ($false),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[1794, 1830, 1827])).
% 0.89/1.16 tff(1832,plain,((~p603(X!0)) | p401(X!0) | p402(X!0) | p404(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.89/1.16 tff(1833,plain,
% 0.89/1.16 (~p603(X!0)),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[1832, 495, 229, 230])).
% 0.89/1.16 tff(1834,plain,
% 0.89/1.16 (~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[1643, 1752])).
% 0.89/1.16 tff(1835,plain,
% 0.89/1.16 (![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[1584, 1834])).
% 0.89/1.16 tff(1836,plain,
% 0.89/1.16 (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[1746, 780])).
% 0.89/1.16 tff(1837,plain,
% 0.89/1.16 ($false),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[1650, 1836, 1835])).
% 0.89/1.16 tff(1838,plain,((~p605(X!0)) | p401(X!0) | p402(X!0) | p404(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.89/1.16 tff(1839,plain,
% 0.89/1.16 (~p605(X!0)),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[1838, 495, 229, 230])).
% 0.89/1.16 tff(1840,plain,
% 0.89/1.16 (~p601(X!0)),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[845, 1823])).
% 0.89/1.16 tff(1841,plain,
% 0.89/1.16 (p604(X!0)),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[440, 1262, 1840, 1839, 1833])).
% 0.89/1.16 tff(1842,plain,
% 0.89/1.16 (~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[139, 1841])).
% 0.89/1.16 tff(1843,plain,
% 0.89/1.16 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[151, 1842])).
% 0.89/1.16 tff(1844,plain,
% 0.89/1.16 (~p301(X!0)),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[67, 1823])).
% 0.89/1.16 tff(1845,plain,
% 0.89/1.16 (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[1746, 1418])).
% 0.89/1.16 tff(1846,plain,
% 0.89/1.16 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[1650, 1845])).
% 0.89/1.16 tff(1847,plain,
% 0.89/1.16 (![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[1584, 1846])).
% 0.89/1.16 tff(1848,plain,
% 0.89/1.16 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[157, 1419, 1, 125, 253])).
% 0.89/1.16 tff(1849,plain,
% 0.89/1.16 (p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0)))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[122, 1848])).
% 0.89/1.16 tff(1850,plain,
% 0.89/1.16 (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[106, 1849])).
% 0.89/1.16 tff(1851,plain,
% 0.89/1.16 ($false),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[1643, 1850, 1847])).
% 0.89/1.16 tff(1852,plain,((~p403(X!0)) | p301(X!0) | p302(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.89/1.16 tff(1853,plain,
% 0.89/1.16 (~p403(X!0)),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[1852, 1379, 1844, 1843])).
% 0.89/1.16 tff(1854,plain,
% 0.89/1.16 (![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[322, 1853, 229, 495, 230])).
% 0.89/1.16 tff(1855,plain,
% 0.89/1.16 (p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0)))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[281, 1854])).
% 0.89/1.16 tff(1856,plain,
% 0.89/1.16 (~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[258, 1855])).
% 0.89/1.16 tff(1857,plain,
% 0.89/1.16 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[122, 1856])).
% 0.89/1.16 tff(1858,plain,
% 0.89/1.16 (p303(X!0)),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[1004, 254, 173, 125, 253, 839, 62])).
% 0.89/1.16 tff(1859,plain,
% 0.89/1.16 (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[1662, 1858])).
% 0.89/1.16 tff(1860,plain,
% 0.89/1.16 (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[1794, 254])).
% 0.89/1.16 tff(1861,plain,
% 0.89/1.16 (~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[1643, 1860])).
% 0.89/1.16 tff(1862,plain,
% 0.89/1.16 (![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[1584, 1861])).
% 0.89/1.16 tff(1863,plain,
% 0.89/1.16 ($false),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[1650, 1862, 1859])).
% 0.89/1.16 tff(1864,plain,((~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))) | p504(X!0) | p302(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | p503(X!0) | p502(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.89/1.16 tff(1865,plain,
% 0.89/1.16 (p503(X!0)),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[1864, 1855, 1379, 1843, 173, 62])).
% 0.89/1.16 tff(1866,plain,
% 0.89/1.16 (~p303(X!0)),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[162, 1865])).
% 0.89/1.16 tff(1867,plain,
% 0.89/1.16 ($false),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[157, 1866, 1857, 1844, 1379, 1843])).
% 0.89/1.16 tff(1868,plain,((~p202(X!0)) | p504(X!0) | p502(X!0) | p401(X!0) | p402(X!0) | p404(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.89/1.16 tff(1869,plain,
% 0.89/1.16 (~p202(X!0)),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[1868, 495, 62, 229, 173, 230])).
% 0.89/1.16 tff(1870,plain,
% 0.89/1.16 (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[397, 1418])).
% 0.89/1.16 tff(1871,plain,
% 0.89/1.16 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[59, 1870])).
% 0.89/1.16 tff(1872,plain,
% 0.89/1.16 (![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[333, 1871, 663, 2, 97])).
% 0.89/1.16 tff(1873,plain,
% 0.89/1.16 (![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[1852, 1418, 1, 125])).
% 0.89/1.16 tff(1874,plain,
% 0.89/1.16 (p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0)))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[151, 1873])).
% 0.89/1.16 tff(1875,plain,
% 0.89/1.16 (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[431, 1874])).
% 0.89/1.16 tff(1876,plain,
% 0.89/1.16 ($false),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[250, 1875, 1872])).
% 0.89/1.16 tff(1877,plain,((~p403(X!0)) | p202(X!0) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p201(X!0) | p301(X!0) | p302(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.89/1.16 tff(1878,plain,
% 0.89/1.16 (~p403(X!0)),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[1877, 125, 2, 1824, 1844, 1869])).
% 0.89/1.16 tff(1879,plain,
% 0.89/1.16 (![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[322, 1878, 229, 495, 230])).
% 0.89/1.16 tff(1880,plain,
% 0.89/1.16 (p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0)))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[281, 1879])).
% 0.89/1.16 tff(1881,plain,
% 0.89/1.16 (p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0)))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[1650, 1862])).
% 0.89/1.16 tff(1882,plain,
% 0.89/1.16 (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[47, 1881])).
% 0.89/1.16 tff(1883,plain,
% 0.89/1.16 (![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[1864, 254, 125, 839, 173, 62])).
% 0.89/1.16 tff(1884,plain,
% 0.89/1.16 (p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0)))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[151, 1883])).
% 0.89/1.16 tff(1885,plain,
% 0.89/1.16 (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[431, 1884])).
% 0.89/1.16 tff(1886,plain,
% 0.89/1.16 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[250, 1885])).
% 0.89/1.16 tff(1887,plain,
% 0.89/1.16 (![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[333, 1886, 663, 2, 97])).
% 0.89/1.16 tff(1888,plain,
% 0.89/1.16 ($false),
% 0.89/1.16 inference(unit_resolution,[status(thm)],[59, 1887, 1882])).
% 0.89/1.16 tff(1889,plain,((~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))) | p202(X!0) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p201(X!0) | p302(X!0) | p503(X!0) | p504(X!0) | p502(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.89/1.17 tff(1890,plain,
% 0.89/1.17 (p503(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1889, 1880, 2, 1824, 125, 1869, 173, 62])).
% 0.89/1.17 tff(1891,plain,
% 0.89/1.17 (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1655, 1890])).
% 0.89/1.17 tff(1892,plain,
% 0.89/1.17 (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1794, 1880])).
% 0.89/1.17 tff(1893,plain,
% 0.89/1.17 (~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1643, 1892])).
% 0.89/1.17 tff(1894,plain,
% 0.89/1.17 (![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1584, 1893])).
% 0.89/1.17 tff(1895,plain,
% 0.89/1.17 ($false),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1650, 1894, 1891])).
% 0.89/1.17 tff(1896,plain,(p302(X!0) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p504(X!0) | p502(X!0) | p401(X!0) | p402(X!0) | p404(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.89/1.17 tff(1897,plain,
% 0.89/1.17 (p302(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1896, 495, 173, 62, 229, 2, 230])).
% 0.89/1.17 tff(1898,plain,
% 0.89/1.17 (~p602(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[715, 1897])).
% 0.89/1.17 tff(1899,plain,
% 0.89/1.17 (p604(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[440, 1898, 1840, 1839, 1833])).
% 0.89/1.17 tff(1900,plain,
% 0.89/1.17 (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[234, 1899])).
% 0.89/1.17 tff(1901,plain,
% 0.89/1.17 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[250, 1900])).
% 0.89/1.17 tff(1902,plain,
% 0.89/1.17 (![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[333, 1901, 1869, 2, 1824])).
% 0.89/1.17 tff(1903,plain,
% 0.89/1.17 (p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[59, 1902])).
% 0.89/1.17 tff(1904,plain,
% 0.89/1.17 (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[47, 1903])).
% 0.89/1.17 tff(1905,plain,
% 0.89/1.17 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1650, 1904])).
% 0.89/1.17 tff(1906,plain,
% 0.89/1.17 (![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1584, 1905])).
% 0.89/1.17 tff(1907,plain,
% 0.89/1.17 (~p403(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[397, 1903])).
% 0.89/1.17 tff(1908,plain,
% 0.89/1.17 (![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[322, 1907, 229, 495, 230])).
% 0.89/1.17 tff(1909,plain,
% 0.89/1.17 (p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[281, 1908])).
% 0.89/1.17 tff(1910,plain,
% 0.89/1.17 (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1794, 1909])).
% 0.89/1.17 tff(1911,plain,
% 0.89/1.17 ($false),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1643, 1910, 1906])).
% 0.89/1.17 tff(1912,plain,(p402(X!0) | p401(X!0) | p404(X!0) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p504(X!0) | p502(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.89/1.17 tff(1913,plain,
% 0.89/1.17 (p402(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1912, 2, 230, 229, 173, 62])).
% 0.89/1.17 tff(1914,plain,
% 0.89/1.17 (~p202(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[327, 1913])).
% 0.89/1.17 tff(1915,plain,
% 0.89/1.17 (~p602(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[437, 1913])).
% 0.89/1.17 tff(1916,plain,
% 0.89/1.17 (~p302(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[705, 1913])).
% 0.89/1.17 tff(1917,plain,
% 0.89/1.17 (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[47, 753])).
% 0.89/1.17 tff(1918,plain,
% 0.89/1.17 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1650, 1917])).
% 0.89/1.17 tff(1919,plain,
% 0.89/1.17 (![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1584, 1918])).
% 0.89/1.17 tff(1920,plain,
% 0.89/1.17 (p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1643, 1919])).
% 0.89/1.17 tff(1921,plain,
% 0.89/1.17 (~p605(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[95, 1920])).
% 0.89/1.17 tff(1922,plain,
% 0.89/1.17 (p604(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[440, 1921, 61, 439, 754])).
% 0.89/1.17 tff(1923,plain,
% 0.89/1.17 (~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[139, 1922])).
% 0.89/1.17 tff(1924,plain,
% 0.89/1.17 (~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[106, 1920])).
% 0.89/1.17 tff(1925,plain,
% 0.89/1.17 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[122, 1924])).
% 0.89/1.17 tff(1926,plain,
% 0.89/1.17 (![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[157, 1925, 1, 125, 838])).
% 0.89/1.17 tff(1927,plain,
% 0.89/1.17 ($false),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[151, 1926, 1923])).
% 0.89/1.17 tff(1928,plain,((~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))) | p301(X!0) | p302(X!0) | p601(X!0) | p602(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.89/1.17 tff(1929,plain,
% 0.89/1.17 (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1928, 1916, 1844, 1840, 1915])).
% 0.89/1.17 tff(1930,plain,
% 0.89/1.17 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[59, 1929])).
% 0.89/1.17 tff(1931,plain,
% 0.89/1.17 (![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[333, 1930, 1914, 2, 1824])).
% 0.89/1.17 tff(1932,plain,
% 0.89/1.17 (p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[250, 1931])).
% 0.89/1.17 tff(1933,plain,
% 0.89/1.17 (~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[431, 1932])).
% 0.89/1.17 tff(1934,plain,
% 0.89/1.17 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[151, 1933])).
% 0.89/1.17 tff(1935,plain,
% 0.89/1.17 (~p604(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[234, 1932])).
% 0.89/1.17 tff(1936,plain,
% 0.89/1.17 (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1678, 1916, 1844, 1934, 1840, 1915, 1935])).
% 0.89/1.17 tff(1937,plain,
% 0.89/1.17 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1650, 1936])).
% 0.89/1.17 tff(1938,plain,
% 0.89/1.17 (![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1584, 1937])).
% 0.89/1.17 tff(1939,plain,
% 0.89/1.17 (p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1643, 1938])).
% 0.89/1.17 tff(1940,plain,
% 0.89/1.17 (~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[106, 1939])).
% 0.89/1.17 tff(1941,plain,
% 0.89/1.17 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[122, 1940])).
% 0.89/1.17 tff(1942,plain,
% 0.89/1.17 (~p605(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[95, 1939])).
% 0.89/1.17 tff(1943,plain,
% 0.89/1.17 (p603(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[440, 1942, 1840, 1915, 1935])).
% 0.89/1.17 tff(1944,plain,
% 0.89/1.17 (~p303(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[170, 1943])).
% 0.89/1.17 tff(1945,plain,
% 0.89/1.17 ($false),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[157, 1944, 1941, 1844, 1916, 1934])).
% 0.89/1.17 tff(1946,plain,(![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p404(X!0) | p401(X!0) | p504(X!0) | p502(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.89/1.17 tff(1947,plain,
% 0.89/1.17 (![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1946, 173, 229, 230, 62])).
% 0.89/1.17 tff(1948,plain,
% 0.89/1.17 (p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[299, 1947])).
% 0.89/1.17 tff(1949,plain,
% 0.89/1.17 (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1710, 1948])).
% 0.89/1.17 tff(1950,plain,
% 0.89/1.17 (~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1643, 1949])).
% 0.89/1.17 tff(1951,plain,
% 0.89/1.17 (![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1584, 1950])).
% 0.89/1.17 tff(1952,plain,
% 0.89/1.17 (p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1650, 1951])).
% 0.89/1.17 tff(1953,plain,
% 0.89/1.17 (~p603(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[188, 1952])).
% 0.89/1.17 tff(1954,plain,
% 0.89/1.17 (~p605(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[457, 1948])).
% 0.89/1.17 tff(1955,plain,
% 0.89/1.17 (~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[417, 1948])).
% 0.89/1.17 tff(1956,plain,
% 0.89/1.17 (~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[281, 1955])).
% 0.89/1.17 tff(1957,plain,
% 0.89/1.17 (~p403(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1746, 1952])).
% 0.89/1.17 tff(1958,plain,
% 0.89/1.17 (p402(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[322, 1957, 229, 1956, 230])).
% 0.89/1.17 tff(1959,plain,
% 0.89/1.17 (~p602(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[437, 1958])).
% 0.89/1.17 tff(1960,plain,
% 0.89/1.17 (p604(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[440, 1959, 1840, 1954, 1953])).
% 0.89/1.17 tff(1961,plain,
% 0.89/1.17 (~p303(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1662, 1952])).
% 0.89/1.17 tff(1962,plain,
% 0.89/1.17 (~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[367, 1948])).
% 0.89/1.17 tff(1963,plain,
% 0.89/1.17 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[122, 1962])).
% 0.89/1.17 tff(1964,plain,
% 0.89/1.17 (~p302(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[705, 1958])).
% 0.89/1.17 tff(1965,plain,
% 0.89/1.17 (![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[157, 1964, 1844, 1963, 1961])).
% 0.89/1.17 tff(1966,plain,
% 0.89/1.17 (p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[151, 1965])).
% 0.89/1.17 tff(1967,plain,
% 0.89/1.17 ($false),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[139, 1966, 1960])).
% 0.89/1.17 tff(1968,plain,(p504(X!0) | p401(X!0) | p404(X!0) | p502(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.89/1.17 tff(1969,plain,
% 0.89/1.17 (p504(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1968, 229, 230, 62])).
% 0.89/1.17 tff(1970,plain,
% 0.89/1.17 (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[479, 1969])).
% 0.89/1.17 tff(1971,plain,
% 0.89/1.17 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[250, 1970])).
% 0.89/1.17 tff(1972,plain,
% 0.89/1.17 (~p604(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[132, 1969])).
% 0.89/1.17 tff(1973,plain,
% 0.89/1.17 (~p201(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1097, 63])).
% 0.89/1.17 tff(1974,plain,
% 0.89/1.17 (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[512, 166])).
% 0.89/1.17 tff(1975,plain,
% 0.89/1.17 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[59, 1974])).
% 0.89/1.17 tff(1976,plain,
% 0.89/1.17 (p402(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1832, 166, 229, 230])).
% 0.89/1.17 tff(1977,plain,
% 0.89/1.17 (~p202(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[327, 1976])).
% 0.89/1.17 tff(1978,plain,
% 0.89/1.17 ($false),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[333, 1977, 1975, 252, 97, 2])).
% 0.89/1.17 tff(1979,plain,((~p603(X!0)) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | p201(X!0) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p401(X!0) | p404(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.89/1.17 tff(1980,plain,
% 0.89/1.17 (~p603(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1979, 2, 97, 252, 229, 230])).
% 0.89/1.17 tff(1981,assumption,(p602(X!0)), introduced(assumption)).
% 0.89/1.17 tff(1982,plain,
% 0.89/1.17 (~p402(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[437, 1981])).
% 0.89/1.17 tff(1983,plain,
% 0.89/1.17 (p403(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[322, 1982, 229, 314, 230])).
% 0.89/1.17 tff(1984,plain,
% 0.89/1.17 (~p202(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[534, 1981])).
% 0.89/1.17 tff(1985,plain,
% 0.89/1.17 (![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[333, 1984, 252, 97, 2])).
% 0.89/1.17 tff(1986,plain,
% 0.89/1.17 (p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[59, 1985])).
% 0.89/1.17 tff(1987,plain,
% 0.89/1.17 ($false),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[397, 1986, 1983])).
% 0.89/1.17 tff(1988,plain,((~p602(X!0)) | p401(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y))) | p404(X!0) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | p201(X!0) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.89/1.17 tff(1989,plain,
% 0.89/1.17 (![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1988, 1981, 229, 230, 252, 97, 2])).
% 0.89/1.17 tff(1990,plain,
% 0.89/1.17 (p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[281, 1989])).
% 0.89/1.17 tff(1991,plain,
% 0.89/1.17 (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1794, 1990])).
% 0.89/1.17 tff(1992,plain,
% 0.89/1.17 (~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1643, 1991])).
% 0.89/1.17 tff(1993,plain,
% 0.89/1.17 (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[47, 1986])).
% 0.89/1.17 tff(1994,plain,
% 0.89/1.17 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1650, 1993])).
% 0.89/1.17 tff(1995,plain,
% 0.89/1.17 ($false),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1584, 1994, 1992])).
% 0.89/1.17 tff(1996,plain,((~p602(X!0)) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | p201(X!0) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p401(X!0) | p404(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.89/1.17 tff(1997,plain,
% 0.89/1.17 (~p602(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1996, 2, 97, 252, 229, 230])).
% 0.89/1.17 tff(1998,plain,
% 0.89/1.17 (p605(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[440, 1997, 3, 61, 1980])).
% 0.89/1.17 tff(1999,plain,
% 0.89/1.17 (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[95, 1998])).
% 0.89/1.17 tff(2000,plain,
% 0.89/1.17 (~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1643, 1999])).
% 0.89/1.17 tff(2001,plain,
% 0.89/1.17 (![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1584, 2000])).
% 0.89/1.17 tff(2002,plain,
% 0.89/1.17 (p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1650, 2001])).
% 0.89/1.17 tff(2003,plain,
% 0.89/1.17 (p402(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1838, 1998, 229, 230])).
% 0.89/1.17 tff(2004,plain,
% 0.89/1.17 (~p202(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[327, 2003])).
% 0.89/1.17 tff(2005,plain,
% 0.89/1.17 (![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[333, 2004, 252, 97, 2])).
% 0.89/1.17 tff(2006,plain,
% 0.89/1.17 (p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[59, 2005])).
% 0.89/1.17 tff(2007,plain,
% 0.89/1.17 ($false),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[47, 2006, 2002])).
% 0.89/1.17 tff(2008,plain,(![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | p201(X!0) | p401(X!0) | p404(X!0) | p604(X!0) | p601(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.89/1.17 tff(2009,plain,
% 0.89/1.17 (![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[2008, 1973, 252, 229, 230, 3, 1537])).
% 0.89/1.17 tff(2010,plain,
% 0.89/1.17 (p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[299, 2009])).
% 0.89/1.17 tff(2011,plain,
% 0.89/1.17 (~p605(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[457, 2010])).
% 0.89/1.17 tff(2012,plain,
% 0.89/1.17 (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1710, 2010])).
% 0.89/1.17 tff(2013,plain,
% 0.89/1.17 (~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1643, 2012])).
% 0.89/1.17 tff(2014,plain,
% 0.89/1.17 (![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1584, 2013])).
% 0.89/1.17 tff(2015,plain,
% 0.89/1.17 (p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1650, 2014])).
% 0.89/1.17 tff(2016,plain,
% 0.89/1.17 (~p603(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[188, 2015])).
% 0.89/1.17 tff(2017,plain,
% 0.89/1.17 (p602(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[440, 2016, 3, 1537, 2011])).
% 0.89/1.17 tff(2018,plain,
% 0.89/1.17 (~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[417, 2010])).
% 0.89/1.17 tff(2019,plain,
% 0.89/1.17 (~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[281, 2018])).
% 0.89/1.17 tff(2020,plain,
% 0.89/1.17 (~p403(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1746, 2015])).
% 0.89/1.17 tff(2021,plain,
% 0.89/1.17 (p402(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[322, 2020, 229, 2019, 230])).
% 0.89/1.17 tff(2022,plain,
% 0.89/1.17 ($false),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[437, 2021, 2017])).
% 0.89/1.17 tff(2023,plain,((~p301(X!0)) | p401(X!0) | p404(X!0) | p604(X!0) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.89/1.17 tff(2024,plain,
% 0.89/1.17 (~p301(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[2023, 229, 230, 1972, 1971])).
% 0.89/1.17 tff(2025,plain,
% 0.89/1.17 (~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[426, 1969])).
% 0.89/1.17 tff(2026,plain,
% 0.89/1.17 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[151, 2025])).
% 0.89/1.17 tff(2027,plain,
% 0.89/1.17 (~p403(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1852, 1, 125, 2026])).
% 0.89/1.17 tff(2028,plain,
% 0.89/1.17 (~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1794, 91])).
% 0.89/1.17 tff(2029,plain,
% 0.89/1.17 (~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[281, 2028])).
% 0.89/1.17 tff(2030,plain,
% 0.89/1.17 (p402(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[322, 2029, 229, 2027, 230])).
% 0.89/1.17 tff(2031,plain,
% 0.89/1.17 (~p202(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[327, 2030])).
% 0.89/1.17 tff(2032,plain,
% 0.89/1.17 (~p602(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[437, 2030])).
% 0.89/1.17 tff(2033,plain,
% 0.89/1.17 (p303(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[157, 123, 2026, 125, 1])).
% 0.89/1.17 tff(2034,plain,
% 0.89/1.17 (~p503(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[162, 2033])).
% 0.89/1.17 tff(2035,plain,
% 0.89/1.17 (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[311, 2033])).
% 0.89/1.17 tff(2036,plain,
% 0.89/1.17 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[59, 2035])).
% 0.89/1.17 tff(2037,plain,
% 0.89/1.17 ($false),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1231, 2036, 2034, 2026, 125, 123, 2032, 2031, 96, 62, 2, 102])).
% 0.89/1.17 tff(2038,plain,((~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))) | p302(X!0) | p502(X!0) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p301(X!0) | p401(X!0) | p404(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.89/1.17 tff(2039,plain,
% 0.89/1.17 (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[2038, 2, 62, 125, 1, 229, 230])).
% 0.89/1.17 tff(2040,plain,
% 0.89/1.17 (~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1643, 2039])).
% 0.89/1.17 tff(2041,plain,
% 0.89/1.17 (![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1584, 2040])).
% 0.89/1.17 tff(2042,plain,
% 0.89/1.17 (p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1650, 2041])).
% 0.89/1.17 tff(2043,plain,
% 0.89/1.17 (~p603(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[188, 2042])).
% 0.89/1.17 tff(2044,plain,
% 0.89/1.17 (~p403(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1852, 1, 125, 253])).
% 0.89/1.17 tff(2045,plain,
% 0.89/1.17 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[157, 1673, 253, 125, 1])).
% 0.89/1.17 tff(2046,plain,
% 0.89/1.17 (p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[122, 2045])).
% 0.89/1.17 tff(2047,plain,
% 0.89/1.17 (~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[258, 2046])).
% 0.89/1.17 tff(2048,plain,
% 0.89/1.17 (~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[281, 2047])).
% 0.89/1.17 tff(2049,plain,
% 0.89/1.17 (~p605(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[445, 2046])).
% 0.89/1.17 tff(2050,plain,
% 0.89/1.17 (~p601(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1377, 60, 253, 252, 230, 2044, 1673, 2])).
% 0.89/1.17 tff(2051,plain,
% 0.89/1.17 (p602(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[440, 2050, 3, 2049, 4])).
% 0.89/1.17 tff(2052,plain,
% 0.89/1.17 (~p402(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[437, 2051])).
% 0.89/1.17 tff(2053,plain,
% 0.89/1.17 ($false),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[322, 2052, 2048, 229, 2044, 230])).
% 0.89/1.17 tff(2054,plain,((~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))) | p401(X!0) | p404(X!0) | p604(X!0) | p603(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p302(X!0) | p301(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.89/1.17 tff(2055,plain,
% 0.89/1.17 ($false),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[2054, 2043, 2042, 230, 1972, 229, 2026, 1971, 2, 125, 1])).
% 0.89/1.17 tff(2056,plain,(![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p404(X!0) | p401(X!0) | p302(X!0) | p301(X!0) | p502(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.89/1.17 tff(2057,plain,
% 0.89/1.17 (![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[2056, 1, 229, 125, 230, 62])).
% 0.89/1.17 tff(2058,plain,
% 0.89/1.17 (p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[299, 2057])).
% 0.89/1.17 tff(2059,plain,
% 0.89/1.17 (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1710, 2058])).
% 0.89/1.17 tff(2060,plain,
% 0.89/1.17 (~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1643, 2059])).
% 0.89/1.17 tff(2061,plain,
% 0.89/1.17 (![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1584, 2060])).
% 0.89/1.17 tff(2062,plain,
% 0.89/1.17 (~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[367, 2058])).
% 0.89/1.17 tff(2063,plain,
% 0.89/1.17 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[122, 2062])).
% 0.89/1.17 tff(2064,plain,
% 0.89/1.17 (p303(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[157, 2063, 2026, 125, 1])).
% 0.89/1.17 tff(2065,plain,
% 0.89/1.17 (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1662, 2064])).
% 0.89/1.17 tff(2066,plain,
% 0.89/1.17 ($false),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1650, 2065, 2061])).
% 0.89/1.17 tff(2067,plain,(p301(X!0) | p302(X!0) | p401(X!0) | p404(X!0) | p502(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.89/1.17 tff(2068,plain,
% 0.89/1.17 (p302(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[2067, 2024, 229, 230, 62])).
% 0.89/1.17 tff(2069,plain,
% 0.89/1.17 (~p402(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[705, 2068])).
% 0.89/1.17 tff(2070,plain,
% 0.89/1.17 (~p605(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1838, 2069, 229, 230])).
% 0.89/1.17 tff(2071,plain,
% 0.89/1.17 (~p602(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[715, 2068])).
% 0.89/1.17 tff(2072,plain,
% 0.89/1.17 (~p603(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1832, 2069, 229, 230])).
% 0.89/1.17 tff(2073,plain,
% 0.89/1.17 (p601(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[440, 2072, 1972, 2071, 2070])).
% 0.89/1.17 tff(2074,plain,
% 0.89/1.17 (~p201(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1067, 2073])).
% 0.89/1.17 tff(2075,plain,
% 0.89/1.17 (~p202(X!0)),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[710, 2068])).
% 0.89/1.17 tff(2076,plain,
% 0.89/1.17 (![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[322, 837, 229, 495, 230])).
% 0.89/1.17 tff(2077,plain,
% 0.89/1.17 (p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[281, 2076])).
% 0.89/1.17 tff(2078,plain,
% 0.89/1.17 (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1794, 2077])).
% 0.89/1.17 tff(2079,plain,
% 0.89/1.17 ($false),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1643, 2078, 1919])).
% 0.89/1.17 tff(2080,plain,((~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))) | p401(X!0) | p402(X!0) | p404(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.89/1.17 tff(2081,plain,
% 0.89/1.17 (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[2080, 229, 2069, 230])).
% 0.89/1.17 tff(2082,plain,
% 0.89/1.17 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[59, 2081])).
% 0.89/1.17 tff(2083,plain,
% 0.89/1.17 (![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[333, 2082, 1971, 2075, 2074])).
% 0.89/1.17 tff(2084,plain,
% 0.89/1.17 (p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[299, 2083])).
% 0.89/1.17 tff(2085,plain,
% 0.89/1.17 (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1710, 2084])).
% 0.89/1.17 tff(2086,plain,
% 0.89/1.17 (~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1643, 2085])).
% 0.89/1.17 tff(2087,plain,
% 0.89/1.17 (![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[1584, 2086])).
% 0.89/1.17 tff(2088,plain,
% 0.89/1.17 (~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))),
% 0.89/1.17 inference(unit_resolution,[status(thm)],[417, 2084])).
% 0.89/1.17 tff(2089,plain,
% 0.89/1.18 (~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[281, 2088])).
% 0.89/1.18 tff(2090,plain,
% 0.89/1.18 (p403(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[322, 2089, 229, 2069, 230])).
% 0.89/1.18 tff(2091,plain,
% 0.89/1.18 (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[1746, 2090])).
% 0.89/1.18 tff(2092,plain,
% 0.89/1.18 ($false),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[1650, 2091, 2087])).
% 0.89/1.18 tff(2093,plain,(p401(X!0) | p404(X!0) | p502(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.89/1.18 tff(2094,plain,
% 0.89/1.18 (p404(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[2093, 1730, 62])).
% 0.89/1.18 tff(2095,plain,
% 0.89/1.18 (~p504(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[632, 2094])).
% 0.89/1.18 tff(2096,plain,
% 0.89/1.18 (~p605(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[1762, 68, 62, 2095])).
% 0.89/1.18 tff(2097,plain,
% 0.89/1.18 (~p603(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[1590, 68, 62, 2095])).
% 0.89/1.18 tff(2098,plain,
% 0.89/1.18 (~p604(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[627, 2094])).
% 0.89/1.18 tff(2099,plain,
% 0.89/1.18 (p602(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[440, 1537, 2098, 2097, 2096])).
% 0.89/1.18 tff(2100,plain,
% 0.89/1.18 (~p202(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[534, 2099])).
% 0.89/1.18 tff(2101,plain,
% 0.89/1.18 (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[643, 2094])).
% 0.89/1.18 tff(2102,plain,
% 0.89/1.18 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[250, 2101])).
% 0.89/1.18 tff(2103,plain,
% 0.89/1.18 (p505(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[134, 756, 2095, 62, 90])).
% 0.89/1.18 tff(2104,plain,
% 0.89/1.18 (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[101, 2103])).
% 0.89/1.18 tff(2105,plain,
% 0.89/1.18 ($false),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[1643, 1919, 2104])).
% 0.89/1.18 tff(2106,plain,((~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))) | p502(X!0) | p501(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.89/1.18 tff(2107,plain,
% 0.89/1.18 (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[2106, 68, 62])).
% 0.89/1.18 tff(2108,plain,
% 0.89/1.18 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[59, 2107])).
% 0.89/1.18 tff(2109,plain,
% 0.89/1.18 (![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[333, 2108, 2102, 1973, 2100])).
% 0.89/1.18 tff(2110,plain,
% 0.89/1.18 (p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[299, 2109])).
% 0.89/1.18 tff(2111,plain,
% 0.89/1.18 (~p505(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[287, 2110])).
% 0.89/1.18 tff(2112,plain,
% 0.89/1.18 (p503(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[134, 2111, 2095, 62, 68])).
% 0.89/1.18 tff(2113,plain,
% 0.89/1.18 (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[1655, 2112])).
% 0.89/1.18 tff(2114,plain,
% 0.89/1.18 (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[1710, 2110])).
% 0.89/1.18 tff(2115,plain,
% 0.89/1.18 (~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[1643, 2114])).
% 0.89/1.18 tff(2116,plain,
% 0.89/1.18 (![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[1584, 2115])).
% 0.89/1.18 tff(2117,plain,
% 0.89/1.18 ($false),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[1650, 2116, 2113])).
% 0.89/1.18 tff(2118,plain,((~p301(X!0)) | p502(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.89/1.18 tff(2119,plain,
% 0.89/1.18 (~p301(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[2118, 62])).
% 0.89/1.18 tff(2120,plain,
% 0.89/1.18 (~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[637, 2094])).
% 0.89/1.18 tff(2121,plain,
% 0.89/1.18 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[151, 2120])).
% 0.89/1.18 tff(2122,plain,
% 0.89/1.18 (![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[157, 379, 2121, 125, 1])).
% 0.89/1.18 tff(2123,plain,
% 0.89/1.18 (p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[122, 2122])).
% 0.89/1.18 tff(2124,plain,
% 0.89/1.18 (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[106, 2123])).
% 0.89/1.18 tff(2125,plain,
% 0.89/1.18 (~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[1643, 2124])).
% 0.89/1.18 tff(2126,plain,
% 0.89/1.18 (![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[1584, 2125])).
% 0.89/1.18 tff(2127,plain,
% 0.89/1.18 (p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[1650, 2126])).
% 0.89/1.18 tff(2128,plain,
% 0.89/1.18 (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[47, 2127])).
% 0.89/1.18 tff(2129,plain,
% 0.89/1.18 (~(p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0))))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[367, 2123])).
% 0.89/1.18 tff(2130,plain,
% 0.89/1.18 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[299, 2129])).
% 0.89/1.18 tff(2131,plain,
% 0.89/1.18 (p601(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[1678, 5, 125, 439, 1, 2098, 2121])).
% 0.89/1.18 tff(2132,plain,
% 0.89/1.18 ($false),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[878, 1673, 1670, 62, 2095, 2121, 125, 2131])).
% 0.89/1.18 tff(2133,plain,((~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))) | p502(X!0) | p302(X!0) | p602(X!0) | p301(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.89/1.18 tff(2134,plain,
% 0.89/1.18 (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[2133, 439, 125, 62, 1])).
% 0.89/1.18 tff(2135,plain,
% 0.89/1.18 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[1650, 2134])).
% 0.89/1.18 tff(2136,plain,
% 0.89/1.18 (![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[1584, 2135])).
% 0.89/1.18 tff(2137,plain,
% 0.89/1.18 (p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[1643, 2136])).
% 0.89/1.18 tff(2138,plain,
% 0.89/1.18 (~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[106, 2137])).
% 0.89/1.18 tff(2139,plain,
% 0.89/1.18 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[122, 2138])).
% 0.89/1.18 tff(2140,plain,
% 0.89/1.18 (p303(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[157, 123, 2121, 125, 1])).
% 0.89/1.18 tff(2141,plain,
% 0.89/1.18 (p601(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[440, 96, 2098, 439, 4])).
% 0.89/1.18 tff(2142,plain,
% 0.89/1.18 (~p501(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[845, 2141])).
% 0.89/1.18 tff(2143,plain,
% 0.89/1.18 (p503(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[134, 2142, 2095, 62, 102])).
% 0.89/1.18 tff(2144,plain,
% 0.89/1.18 ($false),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[162, 2143, 2140])).
% 0.89/1.18 tff(2145,plain,((~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))) | p502(X!0) | p302(X!0) | p301(X!0) | p602(X!0) | p603(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.89/1.18 tff(2146,plain,
% 0.89/1.18 (p603(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[2145, 2137, 125, 1, 439, 62])).
% 0.89/1.18 tff(2147,plain,
% 0.89/1.18 (~p303(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[170, 2146])).
% 0.89/1.18 tff(2148,plain,
% 0.89/1.18 ($false),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[157, 2147, 2139, 2121, 125, 1])).
% 0.89/1.18 tff(2149,plain,(p602(X!0) | p302(X!0) | p301(X!0) | p502(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.89/1.18 tff(2150,plain,
% 0.89/1.18 (p602(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[2149, 1, 125, 62])).
% 0.89/1.18 tff(2151,plain,
% 0.89/1.18 (~p202(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[534, 2150])).
% 0.89/1.18 tff(2152,plain,
% 0.89/1.18 (~p503(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[1655, 2127])).
% 0.89/1.18 tff(2153,plain,
% 0.89/1.18 (![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[1187, 2152, 62, 2094, 125, 2151, 2121, 379, 2130])).
% 0.89/1.18 tff(2154,plain,
% 0.89/1.18 ($false),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[59, 2153, 2128])).
% 0.89/1.18 tff(2155,plain,(p303(X!0) | p502(X!0) | p302(X!0) | p301(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.89/1.18 tff(2156,plain,
% 0.89/1.18 (p303(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[2155, 1, 125, 62])).
% 0.89/1.18 tff(2157,plain,
% 0.89/1.18 (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[311, 2156])).
% 0.89/1.18 tff(2158,plain,
% 0.89/1.18 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[59, 2157])).
% 0.89/1.18 tff(2159,plain,
% 0.89/1.18 (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[1662, 2156])).
% 0.89/1.18 tff(2160,plain,
% 0.89/1.18 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[1650, 2159])).
% 0.89/1.18 tff(2161,plain,
% 0.89/1.18 (![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[1584, 2160])).
% 0.89/1.18 tff(2162,plain,
% 0.89/1.18 (p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[1643, 2161])).
% 0.89/1.18 tff(2163,plain,
% 0.89/1.18 (~(p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0))))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[1710, 2162])).
% 0.89/1.18 tff(2164,plain,
% 0.89/1.18 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[299, 2163])).
% 0.89/1.18 tff(2165,plain,
% 0.89/1.18 (~p503(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[162, 2156])).
% 0.89/1.18 tff(2166,plain,
% 0.89/1.18 (~p505(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[101, 2162])).
% 0.89/1.18 tff(2167,plain,
% 0.89/1.18 (p501(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[134, 2166, 2095, 62, 2165])).
% 0.89/1.18 tff(2168,plain,
% 0.89/1.18 (~p201(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[1060, 2167])).
% 0.89/1.18 tff(2169,plain,
% 0.89/1.18 ($false),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[333, 2168, 2164, 2102, 2151, 2158])).
% 0.89/1.18 tff(2170,plain,(p301(X!0) | p502(X!0) | p302(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.89/1.18 tff(2171,plain,
% 0.89/1.18 (p302(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[2170, 2119, 62])).
% 0.89/1.18 tff(2172,plain,
% 0.89/1.18 (~p202(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[710, 2171])).
% 0.89/1.18 tff(2173,plain,
% 0.89/1.18 (~(p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0))))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[1710, 91])).
% 0.89/1.18 tff(2174,plain,
% 0.89/1.18 (~![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[299, 2173])).
% 0.89/1.18 tff(2175,plain,
% 0.89/1.18 (~p602(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[715, 2171])).
% 0.89/1.18 tff(2176,plain,
% 0.89/1.18 (![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[333, 1344, 252, 2, 663])).
% 0.89/1.18 tff(2177,plain,
% 0.89/1.18 (p603(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[440, 1348, 3, 439, 126])).
% 0.89/1.18 tff(2178,plain,
% 0.89/1.18 (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[512, 2177])).
% 0.89/1.18 tff(2179,plain,
% 0.89/1.18 ($false),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[59, 2178, 2176])).
% 0.89/1.18 tff(2180,plain,((~p501(X!0)) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p202(X!0) | p604(X!0) | p602(X!0) | p605(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.89/1.18 tff(2181,plain,
% 0.89/1.18 (~p501(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[2180, 2174, 2102, 2172, 2098, 2175, 96])).
% 0.89/1.18 tff(2182,plain,
% 0.89/1.18 (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[2106, 2181, 62])).
% 0.89/1.18 tff(2183,plain,
% 0.89/1.18 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[59, 2182])).
% 0.89/1.18 tff(2184,plain,
% 0.89/1.18 (~p603(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[1590, 2181, 62, 2095])).
% 0.89/1.18 tff(2185,plain,
% 0.89/1.18 (p601(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[440, 2184, 2098, 2175, 96])).
% 0.89/1.18 tff(2186,plain,
% 0.89/1.18 (~p201(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[1067, 2185])).
% 0.89/1.18 tff(2187,plain,
% 0.89/1.18 ($false),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[333, 2186, 2183, 2102, 2174, 2172])).
% 0.89/1.18 tff(2188,plain,((~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))) | p502(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.89/1.18 tff(2189,plain,
% 0.89/1.18 (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[2188, 62])).
% 0.89/1.18 tff(2190,plain,
% 0.89/1.18 (~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[1643, 2189])).
% 0.89/1.18 tff(2191,plain,
% 0.89/1.18 (![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[1584, 2190])).
% 0.89/1.18 tff(2192,plain,
% 0.89/1.18 (p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[1650, 2191])).
% 0.89/1.18 tff(2193,plain,
% 0.89/1.18 (~p603(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[188, 2192])).
% 0.89/1.18 tff(2194,plain,
% 0.89/1.18 (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[47, 2192])).
% 0.89/1.18 tff(2195,plain,
% 0.89/1.18 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[59, 2194])).
% 0.89/1.18 tff(2196,plain,
% 0.89/1.18 (p605(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[440, 1126, 2098, 2175, 2193])).
% 0.89/1.18 tff(2197,plain,
% 0.89/1.18 ($false),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[1762, 2196, 1215, 62, 2095])).
% 0.89/1.18 tff(2198,plain,((~p201(X!0)) | p502(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.89/1.18 tff(2199,plain,
% 0.89/1.18 (~p201(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[2198, 62])).
% 0.89/1.18 tff(2200,plain,
% 0.89/1.18 (![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[333, 2199, 2102, 2195, 2172])).
% 0.89/1.18 tff(2201,plain,
% 0.89/1.18 (p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[299, 2200])).
% 0.89/1.18 tff(2202,plain,
% 0.89/1.18 (~p605(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[457, 2201])).
% 0.89/1.18 tff(2203,plain,
% 0.89/1.18 (p601(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[440, 2202, 2098, 2175, 2193])).
% 0.89/1.18 tff(2204,plain,
% 0.89/1.18 (~p503(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[1655, 2192])).
% 0.89/1.18 tff(2205,plain,
% 0.89/1.18 (~p505(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[287, 2201])).
% 0.89/1.18 tff(2206,plain,
% 0.89/1.18 (p501(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[134, 2205, 2095, 62, 2204])).
% 0.89/1.18 tff(2207,plain,
% 0.89/1.18 ($false),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[845, 2206, 2203])).
% 0.89/1.18 tff(2208,plain,(p502(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.89/1.18 tff(2209,plain,
% 0.89/1.18 (~p302(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[383, 2208])).
% 0.89/1.18 tff(2210,plain,
% 0.89/1.18 (~p602(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[559, 2208])).
% 0.89/1.18 tff(2211,plain,
% 0.89/1.18 ((~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))) | p301(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y))) | p601(X!0) | p604(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[1678, 2210, 2209])).
% 0.89/1.18 tff(2212,plain,
% 0.89/1.18 (![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[2211, 61, 1, 3, 5])).
% 0.89/1.18 tff(2213,plain,
% 0.89/1.18 (p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[151, 2212])).
% 0.89/1.18 tff(2214,plain,
% 0.89/1.18 (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[431, 2213])).
% 0.89/1.18 tff(2215,plain,
% 0.89/1.18 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[250, 2214])).
% 0.89/1.18 tff(2216,plain,
% 0.89/1.18 (p601(X!0) | p603(X!0) | p604(X!0) | p605(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[440, 2210])).
% 0.89/1.18 tff(2217,plain,
% 0.89/1.18 (p605(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[2216, 61, 3, 4])).
% 0.89/1.18 tff(2218,plain,
% 0.89/1.18 (~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[451, 2217])).
% 0.89/1.18 tff(2219,plain,
% 0.89/1.18 (~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[281, 2218])).
% 0.89/1.18 tff(2220,plain,
% 0.89/1.18 (~p403(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[1746, 5])).
% 0.89/1.18 tff(2221,plain,
% 0.89/1.18 (~p404(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[637, 2213])).
% 0.89/1.18 tff(2222,plain,
% 0.89/1.18 (~p402(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[348, 2208])).
% 0.89/1.18 tff(2223,plain,
% 0.89/1.18 (p404(X!0) | p403(X!0) | p401(X!0) | ![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[322, 2222])).
% 0.89/1.18 tff(2224,plain,
% 0.89/1.18 (p401(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[2223, 2221, 2220, 2219])).
% 0.89/1.18 tff(2225,plain,
% 0.89/1.18 (~p201(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[88, 2224])).
% 0.89/1.18 tff(2226,plain,
% 0.89/1.18 (~p202(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[375, 2208])).
% 0.89/1.18 tff(2227,plain,
% 0.89/1.18 (p201(X!0) | ![Y: $i] : (p204(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p203(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[333, 2226])).
% 0.89/1.18 tff(2228,plain,
% 0.89/1.18 ($false),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[2227, 2225, 2215, 2, 60])).
% 0.89/1.18 tff(2229,plain,(p601(X!0) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p301(X!0) | p604(X!0) | (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))) | p603(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.89/1.18 tff(2230,plain,
% 0.89/1.18 (p601(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[2229, 5, 1, 3, 2, 4])).
% 0.89/1.18 tff(2231,plain,
% 0.89/1.18 (~p201(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[1067, 2230])).
% 0.89/1.18 tff(2232,plain,
% 0.89/1.18 (![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[2227, 2231, 2, 60])).
% 0.89/1.18 tff(2233,plain,
% 0.89/1.18 (p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[250, 2232])).
% 0.89/1.18 tff(2234,plain,
% 0.89/1.18 (~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[431, 2233])).
% 0.89/1.18 tff(2235,plain,
% 0.89/1.18 (~p401(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[78, 2230])).
% 0.89/1.18 tff(2236,plain,
% 0.89/1.18 (~p404(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[643, 2233])).
% 0.89/1.18 tff(2237,plain,
% 0.89/1.18 (p403(X!0) | p404(X!0) | p401(X!0) | p301(X!0) | p303(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[392, 2208])).
% 0.89/1.18 tff(2238,plain,
% 0.89/1.18 (![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[2237, 2236, 1, 2220, 2235, 1673])).
% 0.89/1.18 tff(2239,plain,
% 0.89/1.18 ($false),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[151, 2238, 2234])).
% 0.89/1.18 tff(2240,plain,((~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))) | p301(X!0) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p604(X!0) | p603(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.89/1.18 tff(2241,plain,
% 0.89/1.18 (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[2240, 4, 2, 3, 1])).
% 0.89/1.18 tff(2242,plain,
% 0.89/1.18 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[1650, 2241])).
% 0.89/1.18 tff(2243,plain,
% 0.89/1.18 (![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[1584, 2242])).
% 0.89/1.18 tff(2244,plain,
% 0.89/1.18 (p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[1643, 2243])).
% 0.89/1.18 tff(2245,plain,
% 0.89/1.18 (~p605(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[95, 2244])).
% 0.89/1.18 tff(2246,plain,
% 0.89/1.18 (p601(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[2216, 2245, 3, 4])).
% 0.89/1.18 tff(2247,plain,
% 0.89/1.18 (~p201(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[1067, 2246])).
% 0.89/1.18 tff(2248,plain,
% 0.89/1.18 (~p401(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[78, 2246])).
% 0.89/1.18 tff(2249,plain,
% 0.89/1.18 (~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[1794, 2244])).
% 0.89/1.18 tff(2250,plain,
% 0.89/1.18 (~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[281, 2249])).
% 0.89/1.18 tff(2251,plain,
% 0.89/1.18 ((~p403(X!0)) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p201(X!0) | p301(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[1877, 2209, 2226])).
% 0.89/1.18 tff(2252,plain,
% 0.89/1.18 (~p403(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[2251, 2247, 1, 2])).
% 0.89/1.18 tff(2253,plain,
% 0.89/1.18 (p404(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[2223, 2252, 2250, 2248])).
% 0.89/1.18 tff(2254,plain,
% 0.89/1.18 (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[643, 2253])).
% 0.89/1.18 tff(2255,plain,
% 0.89/1.18 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[250, 2254])).
% 0.89/1.18 tff(2256,plain,
% 0.89/1.18 (![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[2227, 2255, 2, 2247])).
% 0.89/1.18 tff(2257,plain,
% 0.89/1.18 (~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[106, 2244])).
% 0.89/1.18 tff(2258,plain,
% 0.89/1.18 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[122, 2257])).
% 0.89/1.18 tff(2259,plain,
% 0.89/1.18 (~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[637, 2253])).
% 0.89/1.18 tff(2260,plain,
% 0.89/1.18 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[151, 2259])).
% 0.89/1.18 tff(2261,plain,
% 0.89/1.18 (p301(X!0) | p303(X!0) | ![Y: $i] : (p305(Y) | (~r1(X!0, Y))) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[157, 2209])).
% 0.89/1.18 tff(2262,plain,
% 0.89/1.18 (p303(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[2261, 2260, 1, 2258])).
% 0.89/1.18 tff(2263,plain,
% 0.89/1.18 (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[311, 2262])).
% 0.89/1.18 tff(2264,plain,
% 0.89/1.18 ($false),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[59, 2263, 2256])).
% 0.89/1.18 tff(2265,plain,(p603(X!0) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p301(X!0) | p604(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.89/1.18 tff(2266,plain,
% 0.89/1.18 (p603(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[2265, 2, 1, 3])).
% 0.89/1.18 tff(2267,plain,
% 0.89/1.18 (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[512, 2266])).
% 0.89/1.18 tff(2268,plain,
% 0.89/1.18 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[59, 2267])).
% 0.89/1.18 tff(2269,plain,
% 0.89/1.18 (~p303(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[170, 2266])).
% 0.89/1.18 tff(2270,plain,
% 0.89/1.18 (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[188, 2266])).
% 0.89/1.18 tff(2271,plain,
% 0.89/1.18 (~![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[1650, 2270])).
% 0.89/1.18 tff(2272,plain,
% 0.89/1.18 (![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[1584, 2271])).
% 0.89/1.18 tff(2273,plain,
% 0.89/1.18 (p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[1643, 2272])).
% 0.89/1.18 tff(2274,plain,
% 0.89/1.18 (~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[106, 2273])).
% 0.89/1.18 tff(2275,plain,
% 0.89/1.18 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[122, 2274])).
% 0.89/1.18 tff(2276,plain,
% 0.89/1.18 (![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[2261, 2275, 1, 2269])).
% 0.89/1.18 tff(2277,plain,
% 0.89/1.18 (p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[151, 2276])).
% 0.89/1.18 tff(2278,plain,
% 0.89/1.18 (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[431, 2277])).
% 0.89/1.18 tff(2279,plain,
% 0.89/1.18 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[250, 2278])).
% 0.89/1.18 tff(2280,plain,
% 0.89/1.18 (~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[1794, 2273])).
% 0.89/1.18 tff(2281,plain,
% 0.89/1.18 (~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[281, 2280])).
% 0.89/1.18 tff(2282,plain,
% 0.89/1.18 (~p403(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[544, 2266])).
% 0.89/1.18 tff(2283,plain,
% 0.89/1.18 (~p404(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[637, 2277])).
% 0.89/1.18 tff(2284,plain,
% 0.89/1.18 (p401(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[2223, 2283, 2282, 2281])).
% 0.89/1.18 tff(2285,plain,
% 0.89/1.18 (~p201(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[88, 2284])).
% 0.89/1.18 tff(2286,plain,
% 0.89/1.18 ($false),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[2227, 2285, 2279, 2, 2268])).
% 0.89/1.18 tff(2287,plain,(![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p301(X!0) | p604(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.89/1.18 tff(2288,plain,
% 0.89/1.18 (![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[2287, 3, 1])).
% 0.89/1.18 tff(2289,plain,
% 0.89/1.18 (p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[299, 2288])).
% 0.89/1.18 tff(2290,plain,
% 0.89/1.18 (~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[367, 2289])).
% 0.89/1.18 tff(2291,plain,
% 0.89/1.18 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[122, 2290])).
% 0.89/1.18 tff(2292,plain,
% 0.89/1.18 (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[1710, 2289])).
% 0.89/1.18 tff(2293,plain,
% 0.89/1.18 (~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[1643, 2292])).
% 0.89/1.18 tff(2294,plain,
% 0.89/1.18 (![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[1584, 2293])).
% 0.89/1.18 tff(2295,plain,
% 0.89/1.18 (p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[1650, 2294])).
% 0.89/1.18 tff(2296,plain,
% 0.89/1.18 (~p303(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[1662, 2295])).
% 0.89/1.18 tff(2297,plain,
% 0.89/1.18 (![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[2261, 2296, 1, 2291])).
% 0.89/1.18 tff(2298,plain,
% 0.89/1.18 (p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[151, 2297])).
% 0.89/1.18 tff(2299,plain,
% 0.89/1.18 (~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[417, 2289])).
% 0.89/1.18 tff(2300,plain,
% 0.89/1.18 (~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[281, 2299])).
% 0.89/1.18 tff(2301,plain,
% 0.89/1.18 (~p403(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[1746, 2295])).
% 0.89/1.18 tff(2302,plain,
% 0.89/1.18 (~p605(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[457, 2289])).
% 0.89/1.18 tff(2303,plain,
% 0.89/1.18 (~p603(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[188, 2295])).
% 0.89/1.18 tff(2304,plain,
% 0.89/1.18 (p601(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[2216, 2303, 3, 2302])).
% 0.89/1.18 tff(2305,plain,
% 0.89/1.18 (~p401(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[78, 2304])).
% 0.89/1.18 tff(2306,plain,
% 0.89/1.18 (p404(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[2223, 2305, 2301, 2300])).
% 0.89/1.18 tff(2307,plain,
% 0.89/1.18 ($false),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[637, 2306, 2298])).
% 0.89/1.18 tff(2308,plain,(p604(X!0) | p301(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.89/1.18 tff(2309,plain,
% 0.89/1.18 (p604(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[2308, 1])).
% 0.89/1.18 tff(2310,plain,
% 0.89/1.18 (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[234, 2309])).
% 0.89/1.18 tff(2311,plain,
% 0.89/1.18 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[250, 2310])).
% 0.89/1.18 tff(2312,plain,
% 0.89/1.18 (~(p304(tptp_fun_X_5(X!0)) | (~r1(X!0, tptp_fun_X_5(X!0))))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[139, 2309])).
% 0.89/1.18 tff(2313,plain,
% 0.89/1.18 (~![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[151, 2312])).
% 0.89/1.18 tff(2314,plain,
% 0.89/1.18 (p303(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[2261, 123, 1, 2313])).
% 0.89/1.18 tff(2315,plain,
% 0.89/1.18 (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[311, 2314])).
% 0.89/1.18 tff(2316,plain,
% 0.89/1.18 ((~p403(X!0)) | p301(X!0) | ![Y: $i] : (p304(Y) | (~r1(X!0, Y)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[1852, 2209])).
% 0.89/1.18 tff(2317,plain,
% 0.89/1.18 (~p403(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[2316, 2313, 1])).
% 0.89/1.18 tff(2318,plain,
% 0.89/1.18 (~p404(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[627, 2309])).
% 0.89/1.18 tff(2319,plain,
% 0.89/1.18 (p401(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[2223, 2029, 2318, 2317])).
% 0.89/1.18 tff(2320,plain,
% 0.89/1.18 (~p201(X!0)),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[88, 2319])).
% 0.89/1.18 tff(2321,plain,
% 0.89/1.18 (![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.89/1.18 inference(unit_resolution,[status(thm)],[2227, 2320, 2311, 2])).
% 0.89/1.19 tff(2322,plain,
% 0.89/1.19 ($false),
% 0.89/1.19 inference(unit_resolution,[status(thm)],[59, 2321, 2315])).
% 0.89/1.19 tff(2323,plain,((~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p301(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.89/1.19 tff(2324,plain,
% 0.89/1.19 (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))),
% 0.89/1.19 inference(unit_resolution,[status(thm)],[2323, 2, 1])).
% 0.89/1.19 tff(2325,plain,
% 0.89/1.19 (~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.89/1.19 inference(unit_resolution,[status(thm)],[1643, 2324])).
% 0.89/1.19 tff(2326,plain,
% 0.89/1.19 (![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.89/1.19 inference(unit_resolution,[status(thm)],[1584, 2325])).
% 0.89/1.19 tff(2327,plain,
% 0.89/1.19 (p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0)))),
% 0.89/1.19 inference(unit_resolution,[status(thm)],[1650, 2326])).
% 0.89/1.19 tff(2328,plain,
% 0.89/1.19 (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))),
% 0.89/1.19 inference(unit_resolution,[status(thm)],[47, 2327])).
% 0.89/1.19 tff(2329,plain,
% 0.89/1.19 (~![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.89/1.19 inference(unit_resolution,[status(thm)],[59, 2328])).
% 0.89/1.19 tff(2330,plain,
% 0.89/1.19 (~p303(X!0)),
% 0.89/1.19 inference(unit_resolution,[status(thm)],[1662, 2327])).
% 0.89/1.19 tff(2331,plain,
% 0.89/1.19 (p401(X!0)),
% 0.89/1.19 inference(unit_resolution,[status(thm)],[2237, 2330, 1, 2318, 2313, 2317])).
% 0.89/1.19 tff(2332,plain,
% 0.89/1.19 (~p201(X!0)),
% 0.89/1.19 inference(unit_resolution,[status(thm)],[88, 2331])).
% 0.89/1.19 tff(2333,plain,
% 0.89/1.19 ($false),
% 0.89/1.19 inference(unit_resolution,[status(thm)],[2227, 2332, 2329, 2311, 2])).
% 0.89/1.19 tff(2334,plain,(![Y: $i] : (p205(Y) | (~r1(X!0, Y))) | p301(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.89/1.19 tff(2335,plain,
% 0.89/1.19 (![Y: $i] : (p205(Y) | (~r1(X!0, Y)))),
% 0.89/1.19 inference(unit_resolution,[status(thm)],[2334, 1])).
% 0.89/1.19 tff(2336,plain,
% 0.89/1.19 (p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0)))),
% 0.89/1.19 inference(unit_resolution,[status(thm)],[299, 2335])).
% 0.89/1.19 tff(2337,plain,
% 0.89/1.19 (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))),
% 0.89/1.19 inference(unit_resolution,[status(thm)],[1710, 2336])).
% 0.89/1.19 tff(2338,plain,
% 0.89/1.19 (~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.89/1.19 inference(unit_resolution,[status(thm)],[1643, 2337])).
% 0.89/1.19 tff(2339,plain,
% 0.89/1.19 (![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.89/1.19 inference(unit_resolution,[status(thm)],[1584, 2338])).
% 0.89/1.19 tff(2340,plain,
% 0.89/1.19 (~(p305(tptp_fun_X_2(X!0)) | (~r1(X!0, tptp_fun_X_2(X!0))))),
% 0.89/1.19 inference(unit_resolution,[status(thm)],[367, 2336])).
% 0.89/1.19 tff(2341,plain,
% 0.89/1.19 (~![Y: $i] : (p305(Y) | (~r1(X!0, Y)))),
% 0.89/1.19 inference(unit_resolution,[status(thm)],[122, 2340])).
% 0.89/1.19 tff(2342,plain,
% 0.89/1.19 (p303(X!0)),
% 0.89/1.19 inference(unit_resolution,[status(thm)],[2261, 2341, 1, 2313])).
% 0.89/1.19 tff(2343,plain,
% 0.89/1.19 (~(p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0))))),
% 0.89/1.19 inference(unit_resolution,[status(thm)],[1662, 2342])).
% 0.89/1.19 tff(2344,plain,
% 0.89/1.19 ($false),
% 0.89/1.19 inference(unit_resolution,[status(thm)],[1650, 2343, 2339])).
% 0.89/1.19 tff(2345,plain,(p301(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.89/1.19 tff(2346,plain,
% 0.89/1.19 (~p401(X!0)),
% 0.89/1.19 inference(unit_resolution,[status(thm)],[73, 2345])).
% 0.89/1.19 tff(2347,plain,
% 0.89/1.19 ((~p603(X!0)) | p401(X!0) | p404(X!0)),
% 0.89/1.19 inference(unit_resolution,[status(thm)],[1832, 2222])).
% 0.89/1.19 tff(2348,plain,
% 0.89/1.19 (p404(X!0)),
% 0.89/1.19 inference(unit_resolution,[status(thm)],[2347, 166, 2346])).
% 0.89/1.19 tff(2349,plain,
% 0.89/1.19 (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))),
% 0.89/1.19 inference(unit_resolution,[status(thm)],[643, 2348])).
% 0.89/1.19 tff(2350,plain,
% 0.89/1.19 (~p201(X!0)),
% 0.89/1.19 inference(unit_resolution,[status(thm)],[1097, 2345])).
% 0.89/1.19 tff(2351,plain,
% 0.89/1.19 (![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.89/1.19 inference(unit_resolution,[status(thm)],[2227, 1975, 2350, 2])).
% 0.89/1.19 tff(2352,plain,
% 0.89/1.19 ($false),
% 0.89/1.19 inference(unit_resolution,[status(thm)],[250, 2351, 2349])).
% 0.89/1.19 tff(2353,plain,((~p603(X!0)) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.89/1.19 tff(2354,plain,
% 0.89/1.19 (~p603(X!0)),
% 0.89/1.19 inference(unit_resolution,[status(thm)],[2353, 2])).
% 0.89/1.19 tff(2355,plain,
% 0.89/1.19 (~p601(X!0)),
% 0.89/1.19 inference(unit_resolution,[status(thm)],[867, 2345])).
% 0.89/1.19 tff(2356,plain,
% 0.89/1.19 ((~p605(X!0)) | p401(X!0) | p404(X!0)),
% 0.89/1.19 inference(unit_resolution,[status(thm)],[1838, 2222])).
% 0.89/1.19 tff(2357,plain,
% 0.89/1.19 (p404(X!0)),
% 0.89/1.19 inference(unit_resolution,[status(thm)],[2356, 646, 2346])).
% 0.89/1.19 tff(2358,plain,
% 0.89/1.19 (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))),
% 0.89/1.19 inference(unit_resolution,[status(thm)],[643, 2357])).
% 0.89/1.19 tff(2359,plain,
% 0.89/1.19 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.89/1.19 inference(unit_resolution,[status(thm)],[250, 2358])).
% 0.89/1.19 tff(2360,plain,
% 0.89/1.19 (![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.89/1.19 inference(unit_resolution,[status(thm)],[2227, 2359, 2350, 2])).
% 0.89/1.19 tff(2361,plain,
% 0.89/1.19 (p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0)))),
% 0.89/1.19 inference(unit_resolution,[status(thm)],[1650, 1835])).
% 0.89/1.19 tff(2362,plain,
% 0.89/1.19 (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))),
% 0.89/1.19 inference(unit_resolution,[status(thm)],[47, 2361])).
% 0.89/1.19 tff(2363,plain,
% 0.89/1.19 ($false),
% 0.89/1.19 inference(unit_resolution,[status(thm)],[59, 2362, 2360])).
% 0.89/1.19 tff(2364,plain,((~p605(X!0)) | ![Y: $i] : (p205(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.89/1.19 tff(2365,plain,
% 0.89/1.19 (~p605(X!0)),
% 0.89/1.19 inference(unit_resolution,[status(thm)],[2364, 2])).
% 0.89/1.19 tff(2366,plain,
% 0.89/1.19 (p604(X!0)),
% 0.89/1.19 inference(unit_resolution,[status(thm)],[2216, 2365, 2355, 2354])).
% 0.89/1.19 tff(2367,plain,
% 0.89/1.19 (~p404(X!0)),
% 0.89/1.19 inference(unit_resolution,[status(thm)],[627, 2366])).
% 0.89/1.19 tff(2368,plain,
% 0.89/1.19 ((~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))) | p401(X!0) | p404(X!0)),
% 0.89/1.19 inference(unit_resolution,[status(thm)],[2080, 2222])).
% 0.89/1.19 tff(2369,plain,
% 0.89/1.19 (~(p203(tptp_fun_X_8(X!0)) | (~r1(X!0, tptp_fun_X_8(X!0))))),
% 0.89/1.19 inference(unit_resolution,[status(thm)],[2368, 2367, 2346])).
% 0.89/1.19 tff(2370,plain,
% 0.89/1.19 (~(p204(tptp_fun_X_6(X!0)) | (~r1(X!0, tptp_fun_X_6(X!0))))),
% 0.89/1.19 inference(unit_resolution,[status(thm)],[234, 2366])).
% 0.89/1.19 tff(2371,plain,
% 0.89/1.19 (~![Y: $i] : (p204(Y) | (~r1(X!0, Y)))),
% 0.89/1.19 inference(unit_resolution,[status(thm)],[250, 2370])).
% 0.89/1.19 tff(2372,plain,
% 0.89/1.19 (![Y: $i] : (p203(Y) | (~r1(X!0, Y)))),
% 0.89/1.19 inference(unit_resolution,[status(thm)],[2227, 2371, 2350, 2])).
% 0.89/1.19 tff(2373,plain,
% 0.89/1.19 ($false),
% 0.89/1.19 inference(unit_resolution,[status(thm)],[59, 2372, 2369])).
% 0.89/1.19 tff(2374,plain,(![Y: $i] : (p205(Y) | (~r1(X!0, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.89/1.19 tff(2375,plain,
% 0.89/1.19 (p205(tptp_fun_X_3(X!0)) | (~r1(X!0, tptp_fun_X_3(X!0)))),
% 0.89/1.19 inference(unit_resolution,[status(thm)],[299, 2374])).
% 0.89/1.19 tff(2376,plain,
% 0.89/1.19 (~p605(X!0)),
% 0.89/1.19 inference(unit_resolution,[status(thm)],[457, 2375])).
% 0.89/1.19 tff(2377,plain,
% 0.89/1.19 (~(p105(tptp_fun_X_4(X!0)) | (~r1(X!0, tptp_fun_X_4(X!0))))),
% 0.89/1.19 inference(unit_resolution,[status(thm)],[1710, 2375])).
% 0.89/1.19 tff(2378,plain,
% 0.89/1.19 (~![Y: $i] : (p105(Y) | (~r1(X!0, Y)))),
% 0.89/1.19 inference(unit_resolution,[status(thm)],[1643, 2377])).
% 0.89/1.19 tff(2379,plain,
% 0.89/1.19 (![Y: $i] : (p103(Y) | (~r1(X!0, Y)))),
% 0.89/1.19 inference(unit_resolution,[status(thm)],[1584, 2378])).
% 0.89/1.19 tff(2380,plain,
% 0.89/1.19 (p103(tptp_fun_X_9(X!0)) | (~r1(X!0, tptp_fun_X_9(X!0)))),
% 0.89/1.19 inference(unit_resolution,[status(thm)],[1650, 2379])).
% 0.89/1.19 tff(2381,plain,
% 0.89/1.19 (~p603(X!0)),
% 0.89/1.19 inference(unit_resolution,[status(thm)],[188, 2380])).
% 0.89/1.19 tff(2382,plain,
% 0.89/1.19 (p604(X!0)),
% 0.89/1.19 inference(unit_resolution,[status(thm)],[2216, 2381, 2355, 2376])).
% 0.89/1.19 tff(2383,plain,
% 0.89/1.19 (~(p405(tptp_fun_X_1(X!0)) | (~r1(X!0, tptp_fun_X_1(X!0))))),
% 0.89/1.19 inference(unit_resolution,[status(thm)],[417, 2375])).
% 0.89/1.19 tff(2384,plain,
% 0.89/1.19 (~![Y: $i] : (p405(Y) | (~r1(X!0, Y)))),
% 0.89/1.19 inference(unit_resolution,[status(thm)],[281, 2383])).
% 0.89/1.19 tff(2385,plain,
% 0.89/1.19 (~p403(X!0)),
% 0.89/1.19 inference(unit_resolution,[status(thm)],[1746, 2380])).
% 0.89/1.19 tff(2386,plain,
% 0.89/1.19 (p404(X!0)),
% 0.89/1.19 inference(unit_resolution,[status(thm)],[2223, 2385, 2346, 2384])).
% 0.89/1.19 tff(2387,plain,
% 0.89/1.19 ($false),
% 0.89/1.19 inference(unit_resolution,[status(thm)],[627, 2386, 2382])).
% 0.89/1.19 % SZS output end Proof
% 0.98/1.20 % E exiting
%------------------------------------------------------------------------------