%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN723+1 : TPTP v9.0.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% 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 : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:39:54 AM UTC 2025
% Result : Theorem 0.41s 0.61s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SYN723+1 : TPTP v9.0.0. Released v2.5.0.
% 0.03/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n001.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jun 20 12:44:50 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.41/0.61 % SZS status Theorem
% 0.41/0.61 % SZS output start Proof
% 0.41/0.61 tff(s_type, type, (
% 0.41/0.61 s: $i > $o)).
% 0.41/0.61 tff(tptp_fun_X_10_type, type, (
% 0.41/0.61 tptp_fun_X_10: $i)).
% 0.41/0.61 tff(p_type, type, (
% 0.41/0.61 p: $i > $o)).
% 0.41/0.61 tff(q_type, type, (
% 0.41/0.61 q: $i > $o)).
% 0.41/0.61 tff(tptp_fun_Y_15_type, type, (
% 0.41/0.61 tptp_fun_Y_15: $i)).
% 0.41/0.61 tff(tptp_fun_X_14_type, type, (
% 0.41/0.61 tptp_fun_X_14: $i)).
% 0.41/0.61 tff(tptp_fun_Y_13_type, type, (
% 0.41/0.61 tptp_fun_Y_13: $i > $i)).
% 0.41/0.61 tff(tptp_fun_X_12_type, type, (
% 0.41/0.61 tptp_fun_X_12: $i)).
% 0.41/0.61 tff(tptp_fun_Y_11_type, type, (
% 0.41/0.61 tptp_fun_Y_11: $i)).
% 0.41/0.61 tff(r_type, type, (
% 0.41/0.61 r: $i > $o)).
% 0.41/0.61 tff(tptp_fun_Y_9_type, type, (
% 0.41/0.61 tptp_fun_Y_9: $i > $i)).
% 0.41/0.61 tff(tptp_fun_X_8_type, type, (
% 0.41/0.61 tptp_fun_X_8: $i)).
% 0.41/0.61 tff(tptp_fun_Y_7_type, type, (
% 0.41/0.61 tptp_fun_Y_7: $i)).
% 0.41/0.61 tff(tptp_fun_X_6_type, type, (
% 0.41/0.61 tptp_fun_X_6: $i)).
% 0.41/0.61 tff(tptp_fun_X_4_type, type, (
% 0.41/0.61 tptp_fun_X_4: $i)).
% 0.41/0.61 tff(tptp_fun_Y_5_type, type, (
% 0.41/0.61 tptp_fun_Y_5: $i > $i)).
% 0.41/0.61 tff(tptp_fun_Y_3_type, type, (
% 0.41/0.61 tptp_fun_Y_3: $i)).
% 0.41/0.61 tff(tptp_fun_X_2_type, type, (
% 0.41/0.61 tptp_fun_X_2: $i)).
% 0.41/0.61 tff(tptp_fun_Y_1_type, type, (
% 0.41/0.61 tptp_fun_Y_1: $i > $i)).
% 0.41/0.61 tff(tptp_fun_X_0_type, type, (
% 0.41/0.61 tptp_fun_X_0: $i)).
% 0.41/0.61 tff(1,assumption,(~s(X!10)), introduced(assumption)).
% 0.41/0.61 tff(2,assumption,((~(![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X))))))))))))))))), introduced(assumption)).
% 0.41/0.61 tff(3,assumption,(~((~((~(q(X!2) | ![Y: $i] : r(Y))) | (~((~r(Y!3)) | ![X: $i] : (~q(X)))))) | (~((~((~((~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))) | (~(![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))) | (~((~(![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))))))))))) | (~((~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))))))) | (~(![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))))))))))))))), introduced(assumption)).
% 0.41/0.61 tff(4,plain,
% 0.41/0.61 (((~((~(q(X!2) | ![Y: $i] : r(Y))) | (~((~r(Y!3)) | ![X: $i] : (~q(X)))))) | (~((~((~((~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))) | (~(![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))) | (~((~(![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))))))))))) | (~((~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))))))) | (~(![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~(![Y: $i] : 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(~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~(![X: $i] : 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% 0.48/0.65 inference(monotonicity,[status(thm)],[11])).
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% 0.48/0.66 inference(transitivity,[status(thm)],[12, 10])).
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% 0.48/0.68 inference(rewrite,[status(thm)],[])).
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q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))))))))))) | (~((~((~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))) | (~(![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))))))) | (~(![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15))))))))))))))))))))))))))),
% 0.48/0.68 inference(rewrite,[status(thm)],[])).
% 0.48/0.68 tff(17,plain,
% 0.48/0.68 ((((![X: $i] : (~q(X)) | ![Y: $i] : r(Y)) & (q(X!2) | (~r(Y!3)))) | ((((![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (![Y: $i] : (q(X!4) <=> q(Y)) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))) & (![Y: $i] : (r(X!8) <=> r(Y)) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))))) & (((![Y: $i] : (q(X!4) <=> q(Y)) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![Y: $i] : (r(X!8) <=> r(Y)) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))) & (![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))))))) <=> ((~((~(![X: $i] : (~q(X)) | ![Y: $i] : r(Y))) | (~(q(X!2) | (~r(Y!3)))))) | (~((~((~((~(![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))))))) | (~((~(![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))))))))))) | (~((~((~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))) | (~(![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))))))) | (~(![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))))))))))))))),
% 0.48/0.69 inference(rewrite,[status(thm)],[])).
% 0.48/0.69 tff(18,plain,
% 0.48/0.69 ((((q(X!2) | ![Y: $i] : r(Y)) & (![X: $i] : (~q(X)) | (~r(Y!3)))) | ((((![Y: $i] : (q(X!4) <=> q(Y)) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))) & (![Y: $i] : (r(X!8) <=> r(Y)) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))))) & (((![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (![Y: $i] : (q(X!4) <=> q(Y)) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![Y: $i] : (r(X!8) <=> r(Y)) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))) & (![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))))))) <=> ((~((~(q(X!2) | ![Y: $i] : r(Y))) | (~(![X: $i] : (~q(X)) | (~r(Y!3)))))) | (~((~((~((~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))) | (~(![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))))))) | (~((~(![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))))))))))) | (~((~((~(![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))))))) | (~(![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))))))))))))))),
% 0.48/0.69 inference(rewrite,[status(thm)],[])).
% 0.48/0.69 tff(19,plain,
% 0.48/0.69 (((((q(X!2) | ![Y: $i] : r(Y)) & (![X: $i] : (~q(X)) | (~r(Y!3)))) | ((((![Y: $i] : (q(X!4) <=> q(Y)) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))) & (![Y: $i] : (r(X!8) <=> r(Y)) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))))) & (((![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (![Y: $i] : (q(X!4) <=> q(Y)) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![Y: $i] : (r(X!8) <=> r(Y)) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))) & (![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))))))) & (((![X: $i] : (~q(X)) | ![Y: $i] : r(Y)) & (q(X!2) | (~r(Y!3)))) | ((((![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (![Y: $i] : (q(X!4) <=> q(Y)) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))) & (![Y: $i] : (r(X!8) <=> r(Y)) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))))) & (((![Y: $i] : (q(X!4) <=> q(Y)) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![Y: $i] : (r(X!8) <=> r(Y)) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))) & (![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))))))))))))) <=> (((~((~(q(X!2) | ![Y: $i] : r(Y))) | (~(![X: $i] : (~q(X)) | (~r(Y!3)))))) | (~((~((~((~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))) | (~(![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))))))) | (~((~(![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))))))))))) | (~((~((~(![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))))))) | (~(![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15))))))))))))))))))))))) & ((~((~(![X: $i] : (~q(X)) | ![Y: $i] : r(Y))) | (~(q(X!2) | (~r(Y!3)))))) | (~((~((~((~(![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))))))) | (~((~(![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))))))))))) | (~((~((~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))) | (~(![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))))))) | (~(![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15))))))))))))))))))))))))),
% 0.48/0.70 inference(monotonicity,[status(thm)],[18, 17])).
% 0.48/0.70 tff(20,plain,
% 0.48/0.70 (((((q(X!2) | ![Y: $i] : r(Y)) & (![X: $i] : (~q(X)) | (~r(Y!3)))) | ((((![Y: $i] : (q(X!4) <=> q(Y)) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))) & (![Y: $i] : (r(X!8) <=> r(Y)) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))))) & (((![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (![Y: $i] : (q(X!4) <=> q(Y)) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![Y: $i] : (r(X!8) <=> r(Y)) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))) & (![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))))))) & (((![X: $i] : (~q(X)) | ![Y: $i] : r(Y)) & (q(X!2) | (~r(Y!3)))) | ((((![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (![Y: $i] : (q(X!4) <=> q(Y)) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))) & (![Y: $i] : (r(X!8) <=> r(Y)) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))))) & (((![Y: $i] : (q(X!4) <=> q(Y)) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![Y: $i] : (r(X!8) <=> r(Y)) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))) & (![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))))))))))))) <=> (~((~((~((~(q(X!2) | ![Y: $i] : r(Y))) | (~(![X: $i] : (~q(X)) | (~r(Y!3)))))) | (~((~((~((~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))) | (~(![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))))))) | (~((~(![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))))))))))) | (~((~((~(![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))))))) | (~(![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))))))))))))))) | (~((~((~(![X: $i] : (~q(X)) | ![Y: $i] : r(Y))) | (~(q(X!2) | (~r(Y!3)))))) | (~((~((~((~(![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))))))) | (~((~(![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))))))))))) | (~((~((~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))) | (~(![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))))))) | (~(![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15))))))))))))))))))))))))))),
% 0.48/0.71 inference(transitivity,[status(thm)],[19, 16])).
% 0.48/0.71 tff(21,plain,
% 0.48/0.71 ((![Y: $i] : (p(X!0) <=> p(Y)) | ((((q(X!2) | ![Y: $i] : r(Y)) & (![X: $i] : (~q(X)) | (~r(Y!3)))) | ((((![Y: $i] : (q(X!4) <=> q(Y)) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))) & (![Y: $i] : (r(X!8) <=> r(Y)) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))))) & (((![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (![Y: $i] : (q(X!4) <=> q(Y)) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![Y: $i] : (r(X!8) <=> r(Y)) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))) & (![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))))))) & (((![X: $i] : (~q(X)) | ![Y: $i] : r(Y)) & (q(X!2) | (~r(Y!3)))) | ((((![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (![Y: $i] : (q(X!4) <=> q(Y)) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))) & (![Y: $i] : (r(X!8) <=> r(Y)) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))))) & (((![Y: $i] : (q(X!4) <=> q(Y)) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![Y: $i] : (r(X!8) <=> r(Y)) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))) & (![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))))))))) <=> (![Y: $i] : (p(X!0) <=> p(Y)) | (~((~((~((~(q(X!2) | ![Y: $i] : r(Y))) | (~(![X: $i] : (~q(X)) | (~r(Y!3)))))) | (~((~((~((~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))) | (~(![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))))))) | (~((~(![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))))))))))) | (~((~((~(![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))))))) | (~(![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))))))))))))))) | (~((~((~(![X: $i] : (~q(X)) | ![Y: $i] : r(Y))) | (~(q(X!2) | (~r(Y!3)))))) | (~((~((~((~(![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))))))) | (~((~(![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))))))))))) | (~((~((~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))) | (~(![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))))))) | (~(![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))))))))))))))))))),
% 0.48/0.71 inference(monotonicity,[status(thm)],[20])).
% 0.48/0.71 tff(22,plain,
% 0.48/0.71 ((![Y: $i] : (p(X!0) <=> p(Y)) | ((((q(X!2) | ![Y: $i] : r(Y)) & (![X: $i] : (~q(X)) | (~r(Y!3)))) | ((((![Y: $i] : (q(X!4) <=> q(Y)) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))) & (![Y: $i] : (r(X!8) <=> r(Y)) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))))) & (((![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (![Y: $i] : (q(X!4) <=> q(Y)) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![Y: $i] : (r(X!8) <=> r(Y)) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))) & (![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))))))) & (((![X: $i] : (~q(X)) | ![Y: $i] : r(Y)) & (q(X!2) | (~r(Y!3)))) | ((((![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (![Y: $i] : (q(X!4) <=> q(Y)) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))) & (![Y: $i] : (r(X!8) <=> r(Y)) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))))) & (((![Y: $i] : (q(X!4) <=> q(Y)) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![Y: $i] : (r(X!8) <=> r(Y)) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))) & (![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))))))))) <=> (![Y: $i] : (p(X!0) <=> p(Y)) | (~((~((~((~(q(X!2) | ![Y: $i] : r(Y))) | (~(![X: $i] : (~q(X)) | (~r(Y!3)))))) | (~((~((~((~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))) | (~(![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))))))) | (~((~(![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))))))))))) | (~((~((~(![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))))))) | (~(![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))))))))))))))) | (~((~((~(![X: $i] : (~q(X)) | ![Y: $i] : r(Y))) | (~(q(X!2) | (~r(Y!3)))))) | (~((~((~((~(![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))))))) | (~((~(![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))))))))))) | (~((~((~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))) | (~(![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))))))) | (~(![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~(![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))))))))))))))))))),
% 0.55/0.72 inference(transitivity,[status(thm)],[21, 15])).
% 0.55/0.72 tff(23,plain,
% 0.55/0.72 (((![Y: $i] : (p(X!0) <=> p(Y)) | ((((q(X!2) | ![Y: $i] : r(Y)) & (![X: $i] : (~q(X)) | (~r(Y!3)))) | ((((![Y: $i] : (q(X!4) <=> q(Y)) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))) & (![Y: $i] : (r(X!8) <=> r(Y)) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))))) & (((![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (![Y: $i] : (q(X!4) <=> q(Y)) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![Y: $i] : (r(X!8) <=> r(Y)) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))) & (![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))))))) & (((![X: $i] : (~q(X)) | ![Y: $i] : r(Y)) & (q(X!2) | (~r(Y!3)))) | ((((![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (![Y: $i] : (q(X!4) <=> q(Y)) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))) & (![Y: $i] : (r(X!8) <=> r(Y)) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))))) & (((![Y: $i] : (q(X!4) <=> q(Y)) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![Y: $i] : (r(X!8) <=> r(Y)) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))) & (![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))))))))) & (![X: $i] : (~(p(X) <=> p(tptp_fun_Y_1(X)))) | ((((![X: $i] : (~q(X)) | ![Y: $i] : r(Y)) & (q(X!2) | (~r(Y!3)))) | ((((![Y: $i] : (q(X!4) <=> q(Y)) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))) & (![Y: $i] : (r(X!8) <=> r(Y)) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))))) & (((![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (![Y: $i] : (q(X!4) <=> q(Y)) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![Y: $i] : (r(X!8) <=> r(Y)) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))) & (![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))))))) & (((q(X!2) | ![Y: $i] : r(Y)) & (![X: $i] : (~q(X)) | (~r(Y!3)))) | ((((![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (![Y: $i] : (q(X!4) <=> q(Y)) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))) & (![Y: $i] : (r(X!8) <=> r(Y)) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))))) & (((![Y: $i] : (q(X!4) <=> q(Y)) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![Y: $i] : (r(X!8) <=> r(Y)) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))) & (![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))))))))))))))) <=> ((![Y: $i] : (p(X!0) <=> p(Y)) | ((((q(X!2) | ![Y: $i] : r(Y)) & (![X: $i] : (~q(X)) | (~r(Y!3)))) | ((((![Y: $i] : (q(X!4) <=> q(Y)) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))) & (![Y: $i] : (r(X!8) <=> r(Y)) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))))) & (((![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (![Y: $i] : (q(X!4) <=> q(Y)) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![Y: $i] : (r(X!8) <=> r(Y)) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))) & (![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))))))) & (((![X: $i] : (~q(X)) | ![Y: $i] : r(Y)) & (q(X!2) | (~r(Y!3)))) | ((((![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (![Y: $i] : (q(X!4) <=> q(Y)) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))) & (![Y: $i] : (r(X!8) <=> r(Y)) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))))) & (((![Y: $i] : (q(X!4) <=> q(Y)) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![Y: $i] : (r(X!8) <=> r(Y)) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))) & (![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))))))))) & (![X: $i] : (~(p(X) <=> p(tptp_fun_Y_1(X)))) | ((((![X: $i] : (~q(X)) | ![Y: $i] : r(Y)) & (q(X!2) | (~r(Y!3)))) | ((((![Y: $i] : (q(X!4) <=> q(Y)) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))) & (![Y: $i] : (r(X!8) <=> r(Y)) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))))) & (((![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (![Y: $i] : (q(X!4) <=> q(Y)) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![Y: $i] : (r(X!8) <=> r(Y)) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))) & (![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))))))) & (((q(X!2) | ![Y: $i] : r(Y)) & (![X: $i] : (~q(X)) | (~r(Y!3)))) | ((((![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (![Y: $i] : (q(X!4) <=> q(Y)) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))) & (![Y: $i] : (r(X!8) <=> r(Y)) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))))) & (((![Y: $i] : (q(X!4) <=> q(Y)) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![Y: $i] : (r(X!8) <=> r(Y)) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))) & (![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))))))))))),
% 0.55/0.73 inference(rewrite,[status(thm)],[])).
% 0.55/0.73 tff(24,plain,
% 0.55/0.73 ((~(?[X: $i] : ![Y: $i] : (p(X) <=> p(Y)) <=> ((?[X: $i] : q(X) <=> ![Y: $i] : r(Y)) <=> ((?[X: $i] : ![Y: $i] : (q(X) <=> q(Y)) <=> (?[X: $i] : r(X) <=> ![Y: $i] : s(Y))) <=> (?[X: $i] : ![Y: $i] : (r(X) <=> r(Y)) <=> ((?[X: $i] : s(X) <=> ![Y: $i] : p(Y)) <=> (?[X: $i] : ![Y: $i] : (s(X) <=> s(Y)) <=> (?[X: $i] : p(X) <=> ![Y: $i] : q(Y))))))))) <=> (~(?[X: $i] : ![Y: $i] : (p(X) <=> p(Y)) <=> ((?[X: $i] : q(X) <=> ![Y: $i] : r(Y)) <=> ((?[X: $i] : ![Y: $i] : (q(X) <=> q(Y)) <=> (?[X: $i] : r(X) <=> ![Y: $i] : s(Y))) <=> (?[X: $i] : ![Y: $i] : (r(X) <=> r(Y)) <=> ((?[X: $i] : s(X) <=> ![Y: $i] : p(Y)) <=> (?[X: $i] : ![Y: $i] : (s(X) <=> s(Y)) <=> (?[X: $i] : p(X) <=> ![Y: $i] : q(Y)))))))))),
% 0.55/0.73 inference(rewrite,[status(thm)],[])).
% 0.55/0.73 tff(25,plain,
% 0.55/0.73 ((?[X: $i] : ![Y: $i] : (p(X) <=> p(Y)) <=> ((?[X: $i] : q(X) <=> ![Y: $i] : r(Y)) <=> ((?[X: $i] : ![Y: $i] : (q(X) <=> q(Y)) <=> (?[X: $i] : r(X) <=> ![Y: $i] : s(Y))) <=> (?[X: $i] : ![Y: $i] : (r(X) <=> r(Y)) <=> ((?[X: $i] : s(X) <=> ![Y: $i] : p(Y)) <=> (?[X: $i] : ![Y: $i] : (s(X) <=> s(Y)) <=> (?[X: $i] : p(X) <=> ![Y: $i] : q(Y)))))))) <=> (?[X: $i] : ![Y: $i] : (p(X) <=> p(Y)) <=> ((?[X: $i] : q(X) <=> ![Y: $i] : r(Y)) <=> ((?[X: $i] : ![Y: $i] : (q(X) <=> q(Y)) <=> (?[X: $i] : r(X) <=> ![Y: $i] : s(Y))) <=> (?[X: $i] : ![Y: $i] : (r(X) <=> r(Y)) <=> ((?[X: $i] : s(X) <=> ![Y: $i] : p(Y)) <=> (?[X: $i] : ![Y: $i] : (s(X) <=> s(Y)) <=> (?[X: $i] : p(X) <=> ![Y: $i] : q(Y))))))))),
% 0.55/0.73 inference(rewrite,[status(thm)],[])).
% 0.55/0.73 tff(26,plain,
% 0.55/0.73 ((~(?[X: $i] : ![Y: $i] : (p(X) <=> p(Y)) <=> ((?[X: $i] : q(X) <=> ![Y: $i] : r(Y)) <=> ((?[X: $i] : ![Y: $i] : (q(X) <=> q(Y)) <=> (?[X: $i] : r(X) <=> ![Y: $i] : s(Y))) <=> (?[X: $i] : ![Y: $i] : (r(X) <=> r(Y)) <=> ((?[X: $i] : s(X) <=> ![Y: $i] : p(Y)) <=> (?[X: $i] : ![Y: $i] : (s(X) <=> s(Y)) <=> (?[X: $i] : p(X) <=> ![Y: $i] : q(Y))))))))) <=> (~(?[X: $i] : ![Y: $i] : (p(X) <=> p(Y)) <=> ((?[X: $i] : q(X) <=> ![Y: $i] : r(Y)) <=> ((?[X: $i] : ![Y: $i] : (q(X) <=> q(Y)) <=> (?[X: $i] : r(X) <=> ![Y: $i] : s(Y))) <=> (?[X: $i] : ![Y: $i] : (r(X) <=> r(Y)) <=> ((?[X: $i] : s(X) <=> ![Y: $i] : p(Y)) <=> (?[X: $i] : ![Y: $i] : (s(X) <=> s(Y)) <=> (?[X: $i] : p(X) <=> ![Y: $i] : q(Y)))))))))),
% 0.55/0.75 inference(monotonicity,[status(thm)],[25])).
% 0.55/0.75 tff(27,plain,
% 0.55/0.75 ((~(?[X: $i] : ![Y: $i] : (p(X) <=> p(Y)) <=> ((?[X: $i] : q(X) <=> ![Y: $i] : r(Y)) <=> ((?[X: $i] : ![Y: $i] : (q(X) <=> q(Y)) <=> (?[X: $i] : r(X) <=> ![Y: $i] : s(Y))) <=> (?[X: $i] : ![Y: $i] : (r(X) <=> r(Y)) <=> ((?[X: $i] : s(X) <=> ![Y: $i] : p(Y)) <=> (?[X: $i] : ![Y: $i] : (s(X) <=> s(Y)) <=> (?[X: $i] : p(X) <=> ![Y: $i] : q(Y))))))))) <=> (~(?[X: $i] : ![Y: $i] : (p(X) <=> p(Y)) <=> ((?[X: $i] : q(X) <=> ![Y: $i] : r(Y)) <=> ((?[X: $i] : ![Y: $i] : (q(X) <=> q(Y)) <=> (?[X: $i] : r(X) <=> ![Y: $i] : s(Y))) <=> (?[X: $i] : ![Y: $i] : (r(X) <=> r(Y)) <=> ((?[X: $i] : s(X) <=> ![Y: $i] : p(Y)) <=> (?[X: $i] : ![Y: $i] : (s(X) <=> s(Y)) <=> (?[X: $i] : p(X) <=> ![Y: $i] : q(Y)))))))))),
% 0.55/0.75 inference(transitivity,[status(thm)],[26, 24])).
% 0.55/0.75 tff(28,axiom,(~(?[X: $i] : ![Y: $i] : (p(X) <=> p(Y)) <=> ((?[X: $i] : q(X) <=> ![Y: $i] : r(Y)) <=> ((?[X: $i] : ![Y: $i] : (q(X) <=> q(Y)) <=> (?[X: $i] : r(X) <=> ![Y: $i] : s(Y))) <=> (?[X: $i] : ![Y: $i] : (r(X) <=> r(Y)) <=> ((?[X: $i] : s(X) <=> ![Y: $i] : p(Y)) <=> (?[X: $i] : ![Y: $i] : (s(X) <=> s(Y)) <=> (?[X: $i] : p(X) <=> ![Y: $i] : q(Y))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm138')).
% 0.55/0.75 tff(29,plain,
% 0.55/0.75 (~(?[X: $i] : ![Y: $i] : (p(X) <=> p(Y)) <=> ((?[X: $i] : q(X) <=> ![Y: $i] : r(Y)) <=> ((?[X: $i] : ![Y: $i] : (q(X) <=> q(Y)) <=> (?[X: $i] : r(X) <=> ![Y: $i] : s(Y))) <=> (?[X: $i] : ![Y: $i] : (r(X) <=> r(Y)) <=> ((?[X: $i] : s(X) <=> ![Y: $i] : p(Y)) <=> (?[X: $i] : ![Y: $i] : (s(X) <=> s(Y)) <=> (?[X: $i] : p(X) <=> ![Y: $i] : q(Y))))))))),
% 0.55/0.75 inference(modus_ponens,[status(thm)],[28, 27])).
% 0.55/0.75 tff(30,plain,
% 0.55/0.75 (~(?[X: $i] : ![Y: $i] : (p(X) <=> p(Y)) <=> ((?[X: $i] : q(X) <=> ![Y: $i] : r(Y)) <=> ((?[X: $i] : ![Y: $i] : (q(X) <=> q(Y)) <=> (?[X: $i] : r(X) <=> ![Y: $i] : s(Y))) <=> (?[X: $i] : ![Y: $i] : (r(X) <=> r(Y)) <=> ((?[X: $i] : s(X) <=> ![Y: $i] : p(Y)) <=> (?[X: $i] : ![Y: $i] : (s(X) <=> s(Y)) <=> (?[X: $i] : p(X) <=> ![Y: $i] : q(Y))))))))),
% 0.55/0.75 inference(modus_ponens,[status(thm)],[29, 27])).
% 0.55/0.75 tff(31,plain,
% 0.55/0.75 (~(?[X: $i] : ![Y: $i] : (p(X) <=> p(Y)) <=> ((?[X: $i] : q(X) <=> ![Y: $i] : r(Y)) <=> ((?[X: $i] : ![Y: $i] : (q(X) <=> q(Y)) <=> (?[X: $i] : r(X) <=> ![Y: $i] : s(Y))) <=> (?[X: $i] : ![Y: $i] : (r(X) <=> r(Y)) <=> ((?[X: $i] : s(X) <=> ![Y: $i] : p(Y)) <=> (?[X: $i] : ![Y: $i] : (s(X) <=> s(Y)) <=> (?[X: $i] : p(X) <=> ![Y: $i] : q(Y))))))))),
% 0.55/0.75 inference(modus_ponens,[status(thm)],[30, 24])).
% 0.55/0.75 tff(32,plain,
% 0.55/0.75 (~(?[X: $i] : ![Y: $i] : (p(X) <=> p(Y)) <=> ((?[X: $i] : q(X) <=> ![Y: $i] : r(Y)) <=> ((?[X: $i] : ![Y: $i] : (q(X) <=> q(Y)) <=> (?[X: $i] : r(X) <=> ![Y: $i] : s(Y))) <=> (?[X: $i] : ![Y: $i] : (r(X) <=> r(Y)) <=> ((?[X: $i] : s(X) <=> ![Y: $i] : p(Y)) <=> (?[X: $i] : ![Y: $i] : (s(X) <=> s(Y)) <=> (?[X: $i] : p(X) <=> ![Y: $i] : q(Y))))))))),
% 0.55/0.75 inference(modus_ponens,[status(thm)],[31, 27])).
% 0.55/0.75 unexpected number of arguments: (let ((a!1 (exists ((X $i)) (forall ((Y $i)) (= (p X) (p Y)))))
% 0.55/0.75 (a!2 (forall ((Y $i)) (= (p X!0) (p Y))))
% 0.55/0.75 (a!3 (lambda ((Y $i)) (refl (~ (= (p X!0) (p Y)) (= (p X!0) (p Y))))))
% 0.55/0.75 (a!4 (lambda ((X $i))
% 0.55/0.75 (let ((a!1 (forall ((Y $i)) (= (p X) (p Y))))
% 0.55/0.75 (a!2 (not (= (p X) (p (Y!1 X))))))
% 0.55/0.75 (sk (~ (not a!1) a!2)))))
% 0.55/0.75 (a!5 (forall ((X $i)) (not (= (p X) (p (Y!1 X))))))
% 0.55/0.75 (a!6 (exists ((X $i)) (q X)))
% 0.55/0.75 (a!7 (lambda ((X $i)) (refl (~ (not (q X)) (not (q X))))))
% 0.55/0.75 (a!8 (forall ((X $i)) (not (q X))))
% 0.55/0.75 (a!9 (lambda ((Y $i)) (refl (~ (r Y) (r Y)))))
% 0.55/0.75 (a!10 (forall ((Y $i)) (r Y)))
% 0.55/0.75 (a!16 (exists ((X $i)) (forall ((Y $i)) (= (q X) (q Y)))))
% 0.55/0.75 (a!17 (forall ((Y $i)) (= (q X!4) (q Y))))
% 0.55/0.75 (a!18 (lambda ((Y $i)) (refl (~ (= (q X!4) (q Y)) (= (q X!4) (q Y))))))
% 0.55/0.75 (a!20 (lambda ((X $i))
% 0.55/0.75 (let ((a!1 (forall ((Y $i)) (= (q X) (q Y))))
% 0.55/0.75 (a!2 (not (= (q X) (q (Y!5 X))))))
% 0.55/0.75 (sk (~ (not a!1) a!2)))))
% 0.55/0.75 (a!21 (forall ((X $i)) (not (= (q X) (q (Y!5 X))))))
% 0.55/0.75 (a!22 (exists ((X $i)) (r X)))
% 0.55/0.75 (a!23 (lambda ((X $i)) (refl (~ (not (r X)) (not (r X))))))
% 0.55/0.75 (a!24 (forall ((X $i)) (not (r X))))
% 0.55/0.75 (a!25 (lambda ((Y $i)) (refl (~ (s Y) (s Y)))))
% 0.55/0.75 (a!26 (forall ((Y $i)) (s Y)))
% 0.55/0.75 (a!35 (exists ((X $i)) (forall ((Y $i)) (= (r X) (r Y)))))
% 0.55/0.75 (a!36 (forall ((Y $i)) (= (r X!8) (r Y))))
% 0.55/0.75 (a!37 (lambda ((Y $i)) (refl (~ (= (r X!8) (r Y)) (= (r X!8) (r Y))))))
% 0.55/0.75 (a!39 (lambda ((X $i))
% 0.55/0.75 (let ((a!1 (forall ((Y $i)) (= (r X) (r Y))))
% 0.55/0.75 (a!2 (not (= (r X) (r (Y!9 X))))))
% 0.55/0.75 (sk (~ (not a!1) a!2)))))
% 0.55/0.75 (a!40 (forall ((X $i)) (not (= (r X) (r (Y!9 X))))))
% 0.55/0.75 (a!41 (exists ((X $i)) (s X)))
% 0.55/0.75 (a!42 (lambda ((X $i)) (refl (~ (not (s X)) (not (s X))))))
% 0.55/0.75 (a!43 (forall ((X $i)) (not (s X))))
% 0.55/0.75 (a!44 (lambda ((Y $i)) (refl (~ (p Y) (p Y)))))
% 0.55/0.75 (a!45 (forall ((Y $i)) (p Y)))
% 0.55/0.75 (a!51 (exists ((X $i)) (forall ((Y $i)) (= (s X) (s Y)))))
% 0.55/0.75 (a!52 (forall ((Y $i)) (= (s X!12) (s Y))))
% 0.55/0.75 (a!53 (lambda ((Y $i)) (refl (~ (= (s X!12) (s Y)) (= (s X!12) (s Y))))))
% 0.55/0.75 (a!55 (lambda ((X $i))
% 0.55/0.75 (let ((a!1 (forall ((Y $i)) (= (s X) (s Y))))
% 0.55/0.75 (a!2 (not (= (s X) (s (Y!13 X))))))
% 0.55/0.75 (sk (~ (not a!1) a!2)))))
% 0.55/0.75 (a!56 (forall ((X $i)) (not (= (s X) (s (Y!13 X))))))
% 0.55/0.75 (a!57 (exists ((X $i)) (p X)))
% 0.55/0.75 (a!58 (lambda ((X $i)) (refl (~ (not (p X)) (not (p X))))))
% 0.55/0.75 (a!59 (forall ((X $i)) (not (p X))))
% 0.55/0.75 (a!60 (lambda ((Y $i)) (refl (~ (q Y) (q Y)))))
% 0.55/0.75 (a!61 (forall ((Y $i)) (q Y))))
% 0.55/0.75 (let ((a!11 (sk (~ (not a!10) (not (r Y!3)))))
% 0.55/0.75 (a!12 (and (or a!8 a!10) (or (q X!2) (not (r Y!3)))))
% 0.55/0.75 (a!14 (and (or (q X!2) a!10) (or a!8 (not (r Y!3)))))
% 0.55/0.75 (a!19 (trans (sk (~ a!16 a!17))
% 0.55/0.75 (nnf-pos (proof-bind a!18) (~ a!17 a!17))
% 0.55/0.75 (~ a!16 a!17)))
% 0.55/0.75 (a!27 (sk (~ (not a!26) (not (s Y!7)))))
% 0.55/0.75 (a!28 (and (or a!24 a!26) (or (r X!6) (not (s Y!7)))))
% 0.55/0.75 (a!30 (and (or (r X!6) a!26) (or a!24 (not (s Y!7)))))
% 0.55/0.75 (a!38 (trans (sk (~ a!35 a!36))
% 0.55/0.75 (nnf-pos (proof-bind a!37) (~ a!36 a!36))
% 0.55/0.75 (~ a!35 a!36)))
% 0.55/0.75 (a!46 (sk (~ (not a!45) (not (p Y!11)))))
% 0.55/0.75 (a!47 (and (or a!43 a!45) (or (s X!10) (not (p Y!11)))))
% 0.55/0.75 (a!49 (and (or (s X!10) a!45) (or a!43 (not (p Y!11)))))
% 0.55/0.75 (a!54 (trans (sk (~ a!51 a!52))
% 0.55/0.75 (nnf-pos (proof-bind a!53) (~ a!52 a!52))
% 0.55/0.75 (~ a!51 a!52)))
% 0.55/0.75 (a!62 (sk (~ (not a!61) (not (q Y!15)))))
% 0.55/0.75 (a!63 (and (or a!59 a!61) (or (p X!14) (not (q Y!15)))))
% 0.55/0.75 (a!65 (and (or (p X!14) a!61) (or a!59 (not (q Y!15)))))
% 0.55/0.75 (a!72 (not (= (= a!41 a!45) (= a!51 (= a!57 a!61)))))
% 0.55/0.75 (a!74 (= a!35 (= (= a!41 a!45) (= a!51 (= a!57 a!61))))))
% 0.55/0.75 (let ((a!13 (nnf-pos (sk (~ a!6 (q X!2)))
% 0.55/0.75 (nnf-neg (proof-bind a!7) (~ (not a!6) a!8))
% 0.55/0.75 (nnf-pos (proof-bind a!9) (~ a!10 a!10))
% 0.55/0.75 a!11
% 0.55/0.75 (~ (= a!6 a!10) a!12)))
% 0.55/0.75 (a!15 (nnf-neg (sk (~ a!6 (q X!2)))
% 0.55/0.75 (nnf-neg (proof-bind a!7) (~ (not a!6) a!8))
% 0.55/0.75 (nnf-pos (proof-bind a!9) (~ a!10 a!10))
% 0.55/0.75 a!11
% 0.55/0.75 (~ (not (= a!6 a!10)) a!14)))
% 0.55/0.75 (a!29 (nnf-pos (sk (~ a!22 (r X!6)))
% 0.55/0.75 (nnf-neg (proof-bind a!23) (~ (not a!22) a!24))
% 0.55/0.75 (nnf-pos (proof-bind a!25) (~ a!26 a!26))
% 0.55/0.75 a!27
% 0.55/0.75 (~ (= a!22 a!26) a!28)))
% 0.55/0.75 (a!31 (nnf-neg (sk (~ a!22 (r X!6)))
% 0.55/0.75 (nnf-neg (proof-bind a!23) (~ (not a!22) a!24))
% 0.55/0.75 (nnf-pos (proof-bind a!25) (~ a!26 a!26))
% 0.55/0.75 a!27
% 0.55/0.75 (~ (not (= a!22 a!26)) a!30)))
% 0.55/0.75 (a!33 (~ (not (= a!16 (= a!22 a!26))) (and (or a!17 a!28) (or a!21 a!30))))
% 0.55/0.75 (a!48 (nnf-pos (sk (~ a!41 (s X!10)))
% 0.55/0.75 (nnf-neg (proof-bind a!42) (~ (not a!41) a!43))
% 0.55/0.75 (nnf-pos (proof-bind a!44) (~ a!45 a!45))
% 0.55/0.75 a!46
% 0.55/0.75 (~ (= a!41 a!45) a!47)))
% 0.55/0.75 (a!50 (nnf-neg (sk (~ a!41 (s X!10)))
% 0.55/0.75 (nnf-neg (proof-bind a!42) (~ (not a!41) a!43))
% 0.55/0.75 (nnf-pos (proof-bind a!44) (~ a!45 a!45))
% 0.55/0.75 a!46
% 0.55/0.75 (~ (not (= a!41 a!45)) a!49)))
% 0.55/0.75 (a!64 (nnf-pos (sk (~ a!57 (p X!14)))
% 0.55/0.75 (nnf-neg (proof-bind a!58) (~ (not a!57) a!59))
% 0.55/0.75 (nnf-pos (proof-bind a!60) (~ a!61 a!61))
% 0.55/0.75 a!62
% 0.55/0.75 (~ (= a!57 a!61) a!63)))
% 0.55/0.75 (a!66 (nnf-neg (sk (~ a!57 (p X!14)))
% 0.55/0.75 (nnf-neg (proof-bind a!58) (~ (not a!57) a!59))
% 0.55/0.75 (nnf-pos (proof-bind a!60) (~ a!61 a!61))
% 0.55/0.75 a!62
% 0.55/0.75 (~ (not (= a!57 a!61)) a!65)))
% 0.55/0.75 (a!68 (~ (not (= a!51 (= a!57 a!61))) (and (or a!52 a!63) (or a!56 a!65))))
% 0.55/0.75 (a!70 (and (or a!49 (and (or a!56 a!63) (or a!52 a!65)))
% 0.55/0.75 (or a!47 (and (or a!52 a!63) (or a!56 a!65)))))
% 0.55/0.75 (a!73 (and (or a!47 (and (or a!56 a!63) (or a!52 a!65)))
% 0.55/0.75 (or a!49 (and (or a!52 a!63) (or a!56 a!65)))))
% 0.55/0.75 (a!79 (not (= (= a!16 (= a!22 a!26)) a!74)))
% 0.55/0.75 (a!81 (= (= a!6 a!10) (= (= a!16 (= a!22 a!26)) a!74))))
% 0.55/0.75 (let ((a!32 (nnf-pos a!19
% 0.55/0.75 (nnf-neg (proof-bind a!20) (~ (not a!16) a!21))
% 0.55/0.75 a!29
% 0.55/0.75 a!31
% 0.55/0.75 (~ (= a!16 (= a!22 a!26))
% 0.55/0.75 (and (or a!21 a!28) (or a!17 a!30)))))
% 0.55/0.75 (a!34 (nnf-neg a!19
% 0.55/0.75 (nnf-neg (proof-bind a!20) (~ (not a!16) a!21))
% 0.55/0.75 a!29
% 0.55/0.75 a!31
% 0.55/0.75 a!33))
% 0.55/0.75 (a!67 (nnf-pos a!54
% 0.55/0.75 (nnf-neg (proof-bind a!55) (~ (not a!51) a!56))
% 0.55/0.75 a!64
% 0.55/0.75 a!66
% 0.55/0.75 (~ (= a!51 (= a!57 a!61))
% 0.55/0.75 (and (or a!56 a!63) (or a!52 a!65)))))
% 0.55/0.75 (a!69 (nnf-neg a!54
% 0.55/0.75 (nnf-neg (proof-bind a!55) (~ (not a!51) a!56))
% 0.55/0.75 a!64
% 0.55/0.75 a!66
% 0.55/0.75 a!68))
% 0.55/0.75 (a!71 (~ (= (= a!41 a!45) (= a!51 (= a!57 a!61))) a!70))
% 0.55/0.75 (a!77 (and (or (and (or a!17 a!28) (or a!21 a!30))
% 0.55/0.75 (and (or a!40 a!70) (or a!36 a!73)))
% 0.55/0.75 (or (and (or a!21 a!28) (or a!17 a!30))
% 0.55/0.75 (and (or a!36 a!70) (or a!40 a!73)))))
% 0.55/0.75 (a!80 (and (or (and (or a!21 a!28) (or a!17 a!30))
% 0.55/0.75 (and (or a!40 a!70) (or a!36 a!73)))
% 0.55/0.75 (or (and (or a!17 a!28) (or a!21 a!30))
% 0.55/0.75 (and (or a!36 a!70) (or a!40 a!73))))))
% 0.55/0.75 (let ((a!75 (nnf-pos a!38
% 0.55/0.75 (nnf-neg (proof-bind a!39) (~ (not a!35) a!40))
% 0.55/0.75 (nnf-pos a!48 a!50 a!67 a!69 a!71)
% 0.55/0.75 (nnf-neg a!48 a!50 a!67 a!69 (~ a!72 a!73))
% 0.55/0.75 (~ a!74 (and (or a!40 a!70) (or a!36 a!73)))))
% 0.55/0.75 (a!76 (nnf-neg a!38
% 0.55/0.75 (nnf-neg (proof-bind a!39) (~ (not a!35) a!40))
% 0.55/0.75 (nnf-pos a!48 a!50 a!67 a!69 a!71)
% 0.55/0.75 (nnf-neg a!48 a!50 a!67 a!69 (~ a!72 a!73))
% 0.55/0.75 (~ (not a!74) (and (or a!36 a!70) (or a!40 a!73)))))
% 0.55/0.75 (a!78 (~ (= (= a!16 (= a!22 a!26)) a!74) a!77))
% 0.55/0.75 (a!84 (and (or a!2 (and (or a!14 a!77) (or a!12 a!80)))
% 0.55/0.75 (or a!5 (and (or a!12 a!77) (or a!14 a!80))))))
% 0.55/0.75 (let ((a!82 (nnf-pos a!13
% 0.55/0.75 a!15
% 0.55/0.75 (nnf-pos a!32 a!34 a!75 a!76 a!78)
% 0.55/0.75 (nnf-neg a!32 a!34 a!75 a!76 (~ a!79 a!80))
% 0.55/0.75 (~ a!81 (and (or a!14 a!77) (or a!12 a!80)))))
% 0.55/0.75 (a!83 (nnf-neg a!13
% 0.55/0.75 a!15
% 0.55/0.75 (nnf-pos a!32 a!34 a!75 a!76 a!78)
% 0.55/0.75 (nnf-neg a!32 a!34 a!75 a!76 (~ a!79 a!80))
% 0.55/0.75 (~ (not a!81) (and (or a!12 a!77) (or a!14 a!80))))))
% 0.55/0.75 (nnf-neg (trans (sk (~ a!1 a!2))
% 0.55/0.75 (nnf-pos (proof-bind a!3) (~ a!2 a!2))
% 0.55/0.75 (~ a!1 a!2))
% 0.55/0.75 (nnf-neg (proof-bind a!4) (~ (not a!1) a!5))
% 0.55/0.75 a!82
% 0.55/0.75 a!83
% 0.55/0.75 (~ (not (= a!1 a!81)) a!84))))))))
% 0.55/0.75 Proof display could not be completed: unexpected number of arguments
% 0.55/0.76 % E exiting
%------------------------------------------------------------------------------