Z3---4.15.1.THM-Prf.s

%------------------------------------------------------------------------------
% File     : Z3---4.15.1
% Problem  : LAT294+1 : TPTP v9.0.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_E %s %d THM

% Computer : n005.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 05:14:12 AM UTC 2025

% Result   : Theorem 0.20s 0.60s
% Output   : Proof 0.47s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : LAT294+1 : TPTP v9.0.0. Released v3.4.0.
% 0.10/0.12  % Command    : run_E %s %d THM
% 0.13/0.33  % Computer : n005.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Thu Jun 19 20:03:50 EDT 2025
% 0.13/0.33  % CPUTime    : 
% 0.20/0.60  % SZS status Theorem
% 0.20/0.60  % SZS output start Proof
% 0.20/0.60  tff(r5_binop_1_type, type, (
% 0.20/0.60     r5_binop_1: ( $i * $i * $i ) > $o)).
% 0.20/0.60  tff(k1_realset1_type, type, (
% 0.20/0.60     k1_realset1: ( $i * $i ) > $i)).
% 0.20/0.60  tff(tptp_fun_B_1_type, type, (
% 0.20/0.60     tptp_fun_B_1: $i)).
% 0.20/0.60  tff(tptp_fun_D_3_type, type, (
% 0.20/0.60     tptp_fun_D_3: $i)).
% 0.20/0.60  tff(tptp_fun_C_2_type, type, (
% 0.20/0.60     tptp_fun_C_2: $i)).
% 0.20/0.60  tff(r4_binop_1_type, type, (
% 0.20/0.60     r4_binop_1: ( $i * $i * $i ) > $o)).
% 0.20/0.60  tff(r6_binop_1_type, type, (
% 0.20/0.60     r6_binop_1: ( $i * $i * $i ) > $o)).
% 0.20/0.60  tff(m2_relset_1_type, type, (
% 0.20/0.60     m2_relset_1: ( $i * $i * $i ) > $o)).
% 0.20/0.60  tff(k2_zfmisc_1_type, type, (
% 0.20/0.60     k2_zfmisc_1: ( $i * $i ) > $i)).
% 0.20/0.60  tff(v1_funct_2_type, type, (
% 0.20/0.60     v1_funct_2: ( $i * $i * $i ) > $o)).
% 0.20/0.60  tff(v1_funct_1_type, type, (
% 0.20/0.60     v1_funct_1: $i > $o)).
% 0.20/0.60  tff(tptp_fun_A_0_type, type, (
% 0.20/0.60     tptp_fun_A_0: $i)).
% 0.20/0.60  tff(m1_subset_1_type, type, (
% 0.20/0.60     m1_subset_1: ( $i * $i ) > $o)).
% 0.20/0.60  tff(k1_zfmisc_1_type, type, (
% 0.20/0.60     k1_zfmisc_1: $i > $i)).
% 0.20/0.60  tff(v1_xboole_0_type, type, (
% 0.20/0.60     v1_xboole_0: $i > $o)).
% 0.20/0.60  tff(1,plain,
% 0.20/0.60      (^[A: $i, B: $i] : refl(((~v1_funct_1(B)) | (~v1_funct_2(B, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(B, k2_zfmisc_1(A, A), A)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(C, k2_zfmisc_1(A, A), A)) | (~(((~r4_binop_1(A, B, C)) | (~r5_binop_1(A, B, C))) <=> r6_binop_1(A, B, C))))) <=> ((~v1_funct_1(B)) | (~v1_funct_2(B, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(B, k2_zfmisc_1(A, A), A)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(C, k2_zfmisc_1(A, A), A)) | (~(((~r4_binop_1(A, B, C)) | (~r5_binop_1(A, B, C))) <=> r6_binop_1(A, B, C))))))),
% 0.20/0.60      inference(bind,[status(th)],[])).
% 0.20/0.60  tff(2,plain,
% 0.20/0.60      (![A: $i, B: $i] : ((~v1_funct_1(B)) | (~v1_funct_2(B, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(B, k2_zfmisc_1(A, A), A)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(C, k2_zfmisc_1(A, A), A)) | (~(((~r4_binop_1(A, B, C)) | (~r5_binop_1(A, B, C))) <=> r6_binop_1(A, B, C))))) <=> ![A: $i, B: $i] : ((~v1_funct_1(B)) | (~v1_funct_2(B, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(B, k2_zfmisc_1(A, A), A)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(C, k2_zfmisc_1(A, A), A)) | (~(((~r4_binop_1(A, B, C)) | (~r5_binop_1(A, B, C))) <=> r6_binop_1(A, B, C)))))),
% 0.20/0.60      inference(quant_intro,[status(thm)],[1])).
% 0.20/0.60  tff(3,plain,
% 0.20/0.60      (^[A: $i, B: $i] : rewrite(((~v1_funct_1(B)) | (~v1_funct_2(B, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(B, k2_zfmisc_1(A, A), A)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(C, k2_zfmisc_1(A, A), A)) | (~(((~r4_binop_1(A, B, C)) | (~r5_binop_1(A, B, C))) <=> r6_binop_1(A, B, C))))) <=> ((~v1_funct_1(B)) | (~v1_funct_2(B, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(B, k2_zfmisc_1(A, A), A)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(C, k2_zfmisc_1(A, A), A)) | (~(((~r4_binop_1(A, B, C)) | (~r5_binop_1(A, B, C))) <=> r6_binop_1(A, B, C))))))),
% 0.20/0.60      inference(bind,[status(th)],[])).
% 0.20/0.60  tff(4,plain,
% 0.20/0.60      (![A: $i, B: $i] : ((~v1_funct_1(B)) | (~v1_funct_2(B, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(B, k2_zfmisc_1(A, A), A)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(C, k2_zfmisc_1(A, A), A)) | (~(((~r4_binop_1(A, B, C)) | (~r5_binop_1(A, B, C))) <=> r6_binop_1(A, B, C))))) <=> ![A: $i, B: $i] : ((~v1_funct_1(B)) | (~v1_funct_2(B, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(B, k2_zfmisc_1(A, A), A)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(C, k2_zfmisc_1(A, A), A)) | (~(((~r4_binop_1(A, B, C)) | (~r5_binop_1(A, B, C))) <=> r6_binop_1(A, B, C)))))),
% 0.20/0.60      inference(quant_intro,[status(thm)],[3])).
% 0.20/0.60  tff(5,plain,
% 0.20/0.60      (![A: $i, B: $i] : ((~v1_funct_1(B)) | (~v1_funct_2(B, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(B, k2_zfmisc_1(A, A), A)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(C, k2_zfmisc_1(A, A), A)) | (~(((~r4_binop_1(A, B, C)) | (~r5_binop_1(A, B, C))) <=> r6_binop_1(A, B, C))))) <=> ![A: $i, B: $i] : ((~v1_funct_1(B)) | (~v1_funct_2(B, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(B, k2_zfmisc_1(A, A), A)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(C, k2_zfmisc_1(A, A), A)) | (~(((~r4_binop_1(A, B, C)) | (~r5_binop_1(A, B, C))) <=> r6_binop_1(A, B, C)))))),
% 0.20/0.60      inference(transitivity,[status(thm)],[4, 2])).
% 0.20/0.60  tff(6,plain,
% 0.20/0.60      (^[A: $i, B: $i] : trans(monotonicity(trans(monotonicity(rewrite((v1_funct_1(B) & v1_funct_2(B, k2_zfmisc_1(A, A), A) & m2_relset_1(B, k2_zfmisc_1(A, A), A)) <=> (~((~v1_funct_1(B)) | (~v1_funct_2(B, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(B, k2_zfmisc_1(A, A), A))))), ((~(v1_funct_1(B) & v1_funct_2(B, k2_zfmisc_1(A, A), A) & m2_relset_1(B, k2_zfmisc_1(A, A), A))) <=> (~(~((~v1_funct_1(B)) | (~v1_funct_2(B, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(B, k2_zfmisc_1(A, A), A))))))), rewrite((~(~((~v1_funct_1(B)) | (~v1_funct_2(B, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(B, k2_zfmisc_1(A, A), A))))) <=> ((~v1_funct_1(B)) | (~v1_funct_2(B, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(B, k2_zfmisc_1(A, A), A)))), ((~(v1_funct_1(B) & v1_funct_2(B, k2_zfmisc_1(A, A), A) & m2_relset_1(B, k2_zfmisc_1(A, A), A))) <=> ((~v1_funct_1(B)) | (~v1_funct_2(B, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(B, k2_zfmisc_1(A, A), A))))), quant_intro(proof_bind(^[C: $i] : trans(monotonicity(trans(monotonicity(rewrite((v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A) & m2_relset_1(C, k2_zfmisc_1(A, A), A)) <=> (~((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(C, k2_zfmisc_1(A, A), A))))), ((~(v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A) & m2_relset_1(C, k2_zfmisc_1(A, A), A))) <=> (~(~((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(C, k2_zfmisc_1(A, A), A))))))), rewrite((~(~((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(C, k2_zfmisc_1(A, A), A))))) <=> ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(C, k2_zfmisc_1(A, A), A)))), ((~(v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A) & m2_relset_1(C, k2_zfmisc_1(A, A), A))) <=> ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(C, k2_zfmisc_1(A, A), A))))), trans(trans(monotonicity(rewrite((r4_binop_1(A, B, C) & r5_binop_1(A, B, C)) <=> (~((~r4_binop_1(A, B, C)) | (~r5_binop_1(A, B, C))))), ((r6_binop_1(A, B, C) <=> (r4_binop_1(A, B, C) & r5_binop_1(A, B, C))) <=> (r6_binop_1(A, B, C) <=> (~((~r4_binop_1(A, B, C)) | (~r5_binop_1(A, B, C))))))), rewrite((r6_binop_1(A, B, C) <=> (~((~r4_binop_1(A, B, C)) | (~r5_binop_1(A, B, C))))) <=> (~(((~r4_binop_1(A, B, C)) | (~r5_binop_1(A, B, C))) <=> r6_binop_1(A, B, C)))), ((r6_binop_1(A, B, C) <=> (r4_binop_1(A, B, C) & r5_binop_1(A, B, C))) <=> (~(((~r4_binop_1(A, B, C)) | (~r5_binop_1(A, B, C))) <=> r6_binop_1(A, B, C))))), rewrite((~(((~r4_binop_1(A, B, C)) | (~r5_binop_1(A, B, C))) <=> r6_binop_1(A, B, C))) <=> (~(((~r4_binop_1(A, B, C)) | (~r5_binop_1(A, B, C))) <=> r6_binop_1(A, B, C)))), ((r6_binop_1(A, B, C) <=> (r4_binop_1(A, B, C) & r5_binop_1(A, B, C))) <=> (~(((~r4_binop_1(A, B, C)) | (~r5_binop_1(A, B, C))) <=> r6_binop_1(A, B, C))))), (((~(v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A) & m2_relset_1(C, k2_zfmisc_1(A, A), A))) | (r6_binop_1(A, B, C) <=> (r4_binop_1(A, B, C) & r5_binop_1(A, B, C)))) <=> (((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(C, k2_zfmisc_1(A, A), A))) | (~(((~r4_binop_1(A, B, C)) | (~r5_binop_1(A, B, C))) <=> r6_binop_1(A, B, C)))))), rewrite((((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(C, k2_zfmisc_1(A, A), A))) | (~(((~r4_binop_1(A, B, C)) | (~r5_binop_1(A, B, C))) <=> r6_binop_1(A, B, C)))) <=> ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(C, k2_zfmisc_1(A, A), A)) | (~(((~r4_binop_1(A, B, C)) | (~r5_binop_1(A, B, C))) <=> r6_binop_1(A, B, C))))), (((~(v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A) & m2_relset_1(C, k2_zfmisc_1(A, A), A))) | (r6_binop_1(A, B, C) <=> (r4_binop_1(A, B, C) & r5_binop_1(A, B, C)))) <=> ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(C, k2_zfmisc_1(A, A), A)) | (~(((~r4_binop_1(A, B, C)) | (~r5_binop_1(A, B, C))) <=> r6_binop_1(A, B, C))))))), (![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A) & m2_relset_1(C, k2_zfmisc_1(A, A), A))) | (r6_binop_1(A, B, C) <=> (r4_binop_1(A, B, C) & r5_binop_1(A, B, C)))) <=> ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(C, k2_zfmisc_1(A, A), A)) | (~(((~r4_binop_1(A, B, C)) | (~r5_binop_1(A, B, C))) <=> r6_binop_1(A, B, C)))))), (((~(v1_funct_1(B) & v1_funct_2(B, k2_zfmisc_1(A, A), A) & m2_relset_1(B, k2_zfmisc_1(A, A), A))) | ![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A) & m2_relset_1(C, k2_zfmisc_1(A, A), A))) | (r6_binop_1(A, B, C) <=> (r4_binop_1(A, B, C) & r5_binop_1(A, B, C))))) <=> (((~v1_funct_1(B)) | (~v1_funct_2(B, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(B, k2_zfmisc_1(A, A), A))) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(C, k2_zfmisc_1(A, A), A)) | (~(((~r4_binop_1(A, B, C)) | (~r5_binop_1(A, B, C))) <=> r6_binop_1(A, B, C))))))), rewrite((((~v1_funct_1(B)) | (~v1_funct_2(B, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(B, k2_zfmisc_1(A, A), A))) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(C, k2_zfmisc_1(A, A), A)) | (~(((~r4_binop_1(A, B, C)) | (~r5_binop_1(A, B, C))) <=> r6_binop_1(A, B, C))))) <=> ((~v1_funct_1(B)) | (~v1_funct_2(B, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(B, k2_zfmisc_1(A, A), A)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(C, k2_zfmisc_1(A, A), A)) | (~(((~r4_binop_1(A, B, C)) | (~r5_binop_1(A, B, C))) <=> r6_binop_1(A, B, C)))))), (((~(v1_funct_1(B) & v1_funct_2(B, k2_zfmisc_1(A, A), A) & m2_relset_1(B, k2_zfmisc_1(A, A), A))) | ![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A) & m2_relset_1(C, k2_zfmisc_1(A, A), A))) | (r6_binop_1(A, B, C) <=> (r4_binop_1(A, B, C) & r5_binop_1(A, B, C))))) <=> ((~v1_funct_1(B)) | (~v1_funct_2(B, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(B, k2_zfmisc_1(A, A), A)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(C, k2_zfmisc_1(A, A), A)) | (~(((~r4_binop_1(A, B, C)) | (~r5_binop_1(A, B, C))) <=> r6_binop_1(A, B, C)))))))),
% 0.20/0.60      inference(bind,[status(th)],[])).
% 0.20/0.60  tff(7,plain,
% 0.20/0.60      (![A: $i, B: $i] : ((~(v1_funct_1(B) & v1_funct_2(B, k2_zfmisc_1(A, A), A) & m2_relset_1(B, k2_zfmisc_1(A, A), A))) | ![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A) & m2_relset_1(C, k2_zfmisc_1(A, A), A))) | (r6_binop_1(A, B, C) <=> (r4_binop_1(A, B, C) & r5_binop_1(A, B, C))))) <=> ![A: $i, B: $i] : ((~v1_funct_1(B)) | (~v1_funct_2(B, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(B, k2_zfmisc_1(A, A), A)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(C, k2_zfmisc_1(A, A), A)) | (~(((~r4_binop_1(A, B, C)) | (~r5_binop_1(A, B, C))) <=> r6_binop_1(A, B, C)))))),
% 0.20/0.60      inference(quant_intro,[status(thm)],[6])).
% 0.20/0.60  tff(8,plain,
% 0.20/0.60      (![A: $i, B: $i] : ((~(v1_funct_1(B) & v1_funct_2(B, k2_zfmisc_1(A, A), A) & m2_relset_1(B, k2_zfmisc_1(A, A), A))) | ![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A) & m2_relset_1(C, k2_zfmisc_1(A, A), A))) | (r6_binop_1(A, B, C) <=> (r4_binop_1(A, B, C) & r5_binop_1(A, B, C))))) <=> ![A: $i, B: $i] : ((~(v1_funct_1(B) & v1_funct_2(B, k2_zfmisc_1(A, A), A) & m2_relset_1(B, k2_zfmisc_1(A, A), A))) | ![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A) & m2_relset_1(C, k2_zfmisc_1(A, A), A))) | (r6_binop_1(A, B, C) <=> (r4_binop_1(A, B, C) & r5_binop_1(A, B, C)))))),
% 0.20/0.60      inference(rewrite,[status(thm)],[])).
% 0.20/0.60  tff(9,plain,
% 0.20/0.60      (^[A: $i, B: $i] : trans(monotonicity(rewrite(((v1_funct_1(B) & v1_funct_2(B, k2_zfmisc_1(A, A), A)) & m2_relset_1(B, k2_zfmisc_1(A, A), A)) <=> (v1_funct_1(B) & v1_funct_2(B, k2_zfmisc_1(A, A), A) & m2_relset_1(B, k2_zfmisc_1(A, A), A))), quant_intro(proof_bind(^[C: $i] : trans(monotonicity(rewrite(((v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A)) & m2_relset_1(C, k2_zfmisc_1(A, A), A)) <=> (v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A) & m2_relset_1(C, k2_zfmisc_1(A, A), A))), ((((v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A)) & m2_relset_1(C, k2_zfmisc_1(A, A), A)) => (r6_binop_1(A, B, C) <=> (r4_binop_1(A, B, C) & r5_binop_1(A, B, C)))) <=> ((v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A) & m2_relset_1(C, k2_zfmisc_1(A, A), A)) => (r6_binop_1(A, B, C) <=> (r4_binop_1(A, B, C) & r5_binop_1(A, B, C)))))), rewrite(((v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A) & m2_relset_1(C, k2_zfmisc_1(A, A), A)) => (r6_binop_1(A, B, C) <=> (r4_binop_1(A, B, C) & r5_binop_1(A, B, C)))) <=> ((~(v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A) & m2_relset_1(C, k2_zfmisc_1(A, A), A))) | (r6_binop_1(A, B, C) <=> (r4_binop_1(A, B, C) & r5_binop_1(A, B, C))))), ((((v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A)) & m2_relset_1(C, k2_zfmisc_1(A, A), A)) => (r6_binop_1(A, B, C) <=> (r4_binop_1(A, B, C) & r5_binop_1(A, B, C)))) <=> ((~(v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A) & m2_relset_1(C, k2_zfmisc_1(A, A), A))) | (r6_binop_1(A, B, C) <=> (r4_binop_1(A, B, C) & r5_binop_1(A, B, C))))))), (![C: $i] : (((v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A)) & m2_relset_1(C, k2_zfmisc_1(A, A), A)) => (r6_binop_1(A, B, C) <=> (r4_binop_1(A, B, C) & r5_binop_1(A, B, C)))) <=> ![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A) & m2_relset_1(C, k2_zfmisc_1(A, A), A))) | (r6_binop_1(A, B, C) <=> (r4_binop_1(A, B, C) & r5_binop_1(A, B, C)))))), ((((v1_funct_1(B) & v1_funct_2(B, k2_zfmisc_1(A, A), A)) & m2_relset_1(B, k2_zfmisc_1(A, A), A)) => ![C: $i] : (((v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A)) & m2_relset_1(C, k2_zfmisc_1(A, A), A)) => (r6_binop_1(A, B, C) <=> (r4_binop_1(A, B, C) & r5_binop_1(A, B, C))))) <=> ((v1_funct_1(B) & v1_funct_2(B, k2_zfmisc_1(A, A), A) & m2_relset_1(B, k2_zfmisc_1(A, A), A)) => ![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A) & m2_relset_1(C, k2_zfmisc_1(A, A), A))) | (r6_binop_1(A, B, C) <=> (r4_binop_1(A, B, C) & r5_binop_1(A, B, C))))))), rewrite(((v1_funct_1(B) & v1_funct_2(B, k2_zfmisc_1(A, A), A) & m2_relset_1(B, k2_zfmisc_1(A, A), A)) => ![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A) & m2_relset_1(C, k2_zfmisc_1(A, A), A))) | (r6_binop_1(A, B, C) <=> (r4_binop_1(A, B, C) & r5_binop_1(A, B, C))))) <=> ((~(v1_funct_1(B) & v1_funct_2(B, k2_zfmisc_1(A, A), A) & m2_relset_1(B, k2_zfmisc_1(A, A), A))) | ![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A) & m2_relset_1(C, k2_zfmisc_1(A, A), A))) | (r6_binop_1(A, B, C) <=> (r4_binop_1(A, B, C) & r5_binop_1(A, B, C)))))), ((((v1_funct_1(B) & v1_funct_2(B, k2_zfmisc_1(A, A), A)) & m2_relset_1(B, k2_zfmisc_1(A, A), A)) => ![C: $i] : (((v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A)) & m2_relset_1(C, k2_zfmisc_1(A, A), A)) => (r6_binop_1(A, B, C) <=> (r4_binop_1(A, B, C) & r5_binop_1(A, B, C))))) <=> ((~(v1_funct_1(B) & v1_funct_2(B, k2_zfmisc_1(A, A), A) & m2_relset_1(B, k2_zfmisc_1(A, A), A))) | ![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A) & m2_relset_1(C, k2_zfmisc_1(A, A), A))) | (r6_binop_1(A, B, C) <=> (r4_binop_1(A, B, C) & r5_binop_1(A, B, C)))))))),
% 0.20/0.60      inference(bind,[status(th)],[])).
% 0.20/0.60  tff(10,plain,
% 0.20/0.60      (![A: $i, B: $i] : (((v1_funct_1(B) & v1_funct_2(B, k2_zfmisc_1(A, A), A)) & m2_relset_1(B, k2_zfmisc_1(A, A), A)) => ![C: $i] : (((v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A)) & m2_relset_1(C, k2_zfmisc_1(A, A), A)) => (r6_binop_1(A, B, C) <=> (r4_binop_1(A, B, C) & r5_binop_1(A, B, C))))) <=> ![A: $i, B: $i] : ((~(v1_funct_1(B) & v1_funct_2(B, k2_zfmisc_1(A, A), A) & m2_relset_1(B, k2_zfmisc_1(A, A), A))) | ![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A) & m2_relset_1(C, k2_zfmisc_1(A, A), A))) | (r6_binop_1(A, B, C) <=> (r4_binop_1(A, B, C) & r5_binop_1(A, B, C)))))),
% 0.20/0.60      inference(quant_intro,[status(thm)],[9])).
% 0.20/0.60  tff(11,axiom,(![A: $i, B: $i] : (((v1_funct_1(B) & v1_funct_2(B, k2_zfmisc_1(A, A), A)) & m2_relset_1(B, k2_zfmisc_1(A, A), A)) => ![C: $i] : (((v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A)) & m2_relset_1(C, k2_zfmisc_1(A, A), A)) => (r6_binop_1(A, B, C) <=> (r4_binop_1(A, B, C) & r5_binop_1(A, B, C)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','d11_binop_1')).
% 0.44/0.60  tff(12,plain,
% 0.44/0.60      (![A: $i, B: $i] : ((~(v1_funct_1(B) & v1_funct_2(B, k2_zfmisc_1(A, A), A) & m2_relset_1(B, k2_zfmisc_1(A, A), A))) | ![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A) & m2_relset_1(C, k2_zfmisc_1(A, A), A))) | (r6_binop_1(A, B, C) <=> (r4_binop_1(A, B, C) & r5_binop_1(A, B, C)))))),
% 0.44/0.60      inference(modus_ponens,[status(thm)],[11, 10])).
% 0.44/0.60  tff(13,plain,
% 0.44/0.60      (![A: $i, B: $i] : ((~(v1_funct_1(B) & v1_funct_2(B, k2_zfmisc_1(A, A), A) & m2_relset_1(B, k2_zfmisc_1(A, A), A))) | ![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A) & m2_relset_1(C, k2_zfmisc_1(A, A), A))) | (r6_binop_1(A, B, C) <=> (r4_binop_1(A, B, C) & r5_binop_1(A, B, C)))))),
% 0.44/0.60      inference(modus_ponens,[status(thm)],[12, 8])).
% 0.44/0.60  tff(14,plain,(
% 0.44/0.60      ![A: $i, B: $i] : ((~(v1_funct_1(B) & v1_funct_2(B, k2_zfmisc_1(A, A), A) & m2_relset_1(B, k2_zfmisc_1(A, A), A))) | ![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A) & m2_relset_1(C, k2_zfmisc_1(A, A), A))) | (r6_binop_1(A, B, C) <=> (r4_binop_1(A, B, C) & r5_binop_1(A, B, C)))))),
% 0.44/0.60      inference(skolemize,[status(sab)],[13])).
% 0.44/0.60  tff(15,plain,
% 0.44/0.60      (![A: $i, B: $i] : ((~v1_funct_1(B)) | (~v1_funct_2(B, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(B, k2_zfmisc_1(A, A), A)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(C, k2_zfmisc_1(A, A), A)) | (~(((~r4_binop_1(A, B, C)) | (~r5_binop_1(A, B, C))) <=> r6_binop_1(A, B, C)))))),
% 0.44/0.60      inference(modus_ponens,[status(thm)],[14, 7])).
% 0.44/0.60  tff(16,plain,
% 0.44/0.60      (![A: $i, B: $i] : ((~v1_funct_1(B)) | (~v1_funct_2(B, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(B, k2_zfmisc_1(A, A), A)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(C, k2_zfmisc_1(A, A), A)) | (~(((~r4_binop_1(A, B, C)) | (~r5_binop_1(A, B, C))) <=> r6_binop_1(A, B, C)))))),
% 0.44/0.60      inference(modus_ponens,[status(thm)],[15, 5])).
% 0.44/0.60  tff(17,plain,
% 0.44/0.60      (((~v1_xboole_0(A!0)) & ((~v1_xboole_0(B!1)) & m1_subset_1(B!1, k1_zfmisc_1(A!0)) & v1_funct_1(C!2) & v1_funct_2(C!2, k2_zfmisc_1(A!0, A!0), A!0) & m2_relset_1(C!2, k2_zfmisc_1(A!0, A!0), A!0) & (~((~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~(v1_funct_1(D!3) & v1_funct_2(D!3, k2_zfmisc_1(A!0, A!0), A!0) & m2_relset_1(D!3, k2_zfmisc_1(A!0, A!0), A!0))) | (~m2_relset_1(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | r6_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)) | (~r6_binop_1(A!0, C!2, D!3)) | (~v1_funct_1(k1_realset1(D!3, B!1))) | (~v1_funct_2(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)))))) <=> ((~v1_xboole_0(A!0)) & (~v1_xboole_0(B!1)) & m1_subset_1(B!1, k1_zfmisc_1(A!0)) & v1_funct_1(C!2) & v1_funct_2(C!2, k2_zfmisc_1(A!0, A!0), A!0) & m2_relset_1(C!2, k2_zfmisc_1(A!0, A!0), A!0) & (~((~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~(v1_funct_1(D!3) & v1_funct_2(D!3, k2_zfmisc_1(A!0, A!0), A!0) & m2_relset_1(D!3, k2_zfmisc_1(A!0, A!0), A!0))) | (~m2_relset_1(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | r6_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)) | (~r6_binop_1(A!0, C!2, D!3)) | (~v1_funct_1(k1_realset1(D!3, B!1))) | (~v1_funct_2(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)))))),
% 0.44/0.60      inference(rewrite,[status(thm)],[])).
% 0.44/0.60  tff(18,plain,
% 0.44/0.60      ((((~v1_xboole_0(B!1)) & m1_subset_1(B!1, k1_zfmisc_1(A!0))) & (v1_funct_1(C!2) & v1_funct_2(C!2, k2_zfmisc_1(A!0, A!0), A!0) & m2_relset_1(C!2, k2_zfmisc_1(A!0, A!0), A!0) & (~((~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~(v1_funct_1(D!3) & v1_funct_2(D!3, k2_zfmisc_1(A!0, A!0), A!0) & m2_relset_1(D!3, k2_zfmisc_1(A!0, A!0), A!0))) | (~m2_relset_1(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | r6_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)) | (~r6_binop_1(A!0, C!2, D!3)) | (~v1_funct_1(k1_realset1(D!3, B!1))) | (~v1_funct_2(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)))))) <=> ((~v1_xboole_0(B!1)) & m1_subset_1(B!1, k1_zfmisc_1(A!0)) & v1_funct_1(C!2) & v1_funct_2(C!2, k2_zfmisc_1(A!0, A!0), A!0) & m2_relset_1(C!2, k2_zfmisc_1(A!0, A!0), A!0) & (~((~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~(v1_funct_1(D!3) & v1_funct_2(D!3, k2_zfmisc_1(A!0, A!0), A!0) & m2_relset_1(D!3, k2_zfmisc_1(A!0, A!0), A!0))) | (~m2_relset_1(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | r6_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)) | (~r6_binop_1(A!0, C!2, D!3)) | (~v1_funct_1(k1_realset1(D!3, B!1))) | (~v1_funct_2(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)))))),
% 0.44/0.60      inference(rewrite,[status(thm)],[])).
% 0.44/0.60  tff(19,plain,
% 0.44/0.60      (((v1_funct_1(C!2) & v1_funct_2(C!2, k2_zfmisc_1(A!0, A!0), A!0) & m2_relset_1(C!2, k2_zfmisc_1(A!0, A!0), A!0)) & (~((~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~(v1_funct_1(D!3) & v1_funct_2(D!3, k2_zfmisc_1(A!0, A!0), A!0) & m2_relset_1(D!3, k2_zfmisc_1(A!0, A!0), A!0))) | (~m2_relset_1(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | r6_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)) | (~r6_binop_1(A!0, C!2, D!3)) | (~v1_funct_1(k1_realset1(D!3, B!1))) | (~v1_funct_2(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1))))) <=> (v1_funct_1(C!2) & v1_funct_2(C!2, k2_zfmisc_1(A!0, A!0), A!0) & m2_relset_1(C!2, k2_zfmisc_1(A!0, A!0), A!0) & (~((~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~(v1_funct_1(D!3) & v1_funct_2(D!3, k2_zfmisc_1(A!0, A!0), A!0) & m2_relset_1(D!3, k2_zfmisc_1(A!0, A!0), A!0))) | (~m2_relset_1(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | r6_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)) | (~r6_binop_1(A!0, C!2, D!3)) | (~v1_funct_1(k1_realset1(D!3, B!1))) | (~v1_funct_2(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)))))),
% 0.44/0.60      inference(rewrite,[status(thm)],[])).
% 0.44/0.60  tff(20,plain,
% 0.44/0.60      ((~((~(v1_funct_1(D!3) & v1_funct_2(D!3, k2_zfmisc_1(A!0, A!0), A!0) & m2_relset_1(D!3, k2_zfmisc_1(A!0, A!0), A!0))) | (~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | r6_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)) | (~r6_binop_1(A!0, C!2, D!3)) | (~v1_funct_1(k1_realset1(D!3, B!1))) | (~v1_funct_2(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)))) <=> (~((~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~(v1_funct_1(D!3) & v1_funct_2(D!3, k2_zfmisc_1(A!0, A!0), A!0) & m2_relset_1(D!3, k2_zfmisc_1(A!0, A!0), A!0))) | (~m2_relset_1(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | r6_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)) | (~r6_binop_1(A!0, C!2, D!3)) | (~v1_funct_1(k1_realset1(D!3, B!1))) | (~v1_funct_2(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1))))),
% 0.44/0.60      inference(rewrite,[status(thm)],[])).
% 0.44/0.60  tff(21,plain,
% 0.44/0.60      (((v1_funct_1(C!2) & v1_funct_2(C!2, k2_zfmisc_1(A!0, A!0), A!0) & m2_relset_1(C!2, k2_zfmisc_1(A!0, A!0), A!0)) & (~((~(v1_funct_1(D!3) & v1_funct_2(D!3, k2_zfmisc_1(A!0, A!0), A!0) & m2_relset_1(D!3, k2_zfmisc_1(A!0, A!0), A!0))) | (~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | r6_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)) | (~r6_binop_1(A!0, C!2, D!3)) | (~v1_funct_1(k1_realset1(D!3, B!1))) | (~v1_funct_2(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1))))) <=> ((v1_funct_1(C!2) & v1_funct_2(C!2, k2_zfmisc_1(A!0, A!0), A!0) & m2_relset_1(C!2, k2_zfmisc_1(A!0, A!0), A!0)) & (~((~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~(v1_funct_1(D!3) & v1_funct_2(D!3, k2_zfmisc_1(A!0, A!0), A!0) & m2_relset_1(D!3, k2_zfmisc_1(A!0, A!0), A!0))) | (~m2_relset_1(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | r6_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)) | (~r6_binop_1(A!0, C!2, D!3)) | (~v1_funct_1(k1_realset1(D!3, B!1))) | (~v1_funct_2(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)))))),
% 0.44/0.61      inference(monotonicity,[status(thm)],[20])).
% 0.44/0.61  tff(22,plain,
% 0.44/0.61      (((v1_funct_1(C!2) & v1_funct_2(C!2, k2_zfmisc_1(A!0, A!0), A!0) & m2_relset_1(C!2, k2_zfmisc_1(A!0, A!0), A!0)) & (~((~(v1_funct_1(D!3) & v1_funct_2(D!3, k2_zfmisc_1(A!0, A!0), A!0) & m2_relset_1(D!3, k2_zfmisc_1(A!0, A!0), A!0))) | (~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | r6_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)) | (~r6_binop_1(A!0, C!2, D!3)) | (~v1_funct_1(k1_realset1(D!3, B!1))) | (~v1_funct_2(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1))))) <=> (v1_funct_1(C!2) & v1_funct_2(C!2, k2_zfmisc_1(A!0, A!0), A!0) & m2_relset_1(C!2, k2_zfmisc_1(A!0, A!0), A!0) & (~((~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~(v1_funct_1(D!3) & v1_funct_2(D!3, k2_zfmisc_1(A!0, A!0), A!0) & m2_relset_1(D!3, k2_zfmisc_1(A!0, A!0), A!0))) | (~m2_relset_1(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | r6_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)) | (~r6_binop_1(A!0, C!2, D!3)) | (~v1_funct_1(k1_realset1(D!3, B!1))) | (~v1_funct_2(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)))))),
% 0.44/0.61      inference(transitivity,[status(thm)],[21, 19])).
% 0.44/0.61  tff(23,plain,
% 0.44/0.61      ((((~v1_xboole_0(B!1)) & m1_subset_1(B!1, k1_zfmisc_1(A!0))) & ((v1_funct_1(C!2) & v1_funct_2(C!2, k2_zfmisc_1(A!0, A!0), A!0) & m2_relset_1(C!2, k2_zfmisc_1(A!0, A!0), A!0)) & (~((~(v1_funct_1(D!3) & v1_funct_2(D!3, k2_zfmisc_1(A!0, A!0), A!0) & m2_relset_1(D!3, k2_zfmisc_1(A!0, A!0), A!0))) | (~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | r6_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)) | (~r6_binop_1(A!0, C!2, D!3)) | (~v1_funct_1(k1_realset1(D!3, B!1))) | (~v1_funct_2(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)))))) <=> (((~v1_xboole_0(B!1)) & m1_subset_1(B!1, k1_zfmisc_1(A!0))) & (v1_funct_1(C!2) & v1_funct_2(C!2, k2_zfmisc_1(A!0, A!0), A!0) & m2_relset_1(C!2, k2_zfmisc_1(A!0, A!0), A!0) & (~((~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~(v1_funct_1(D!3) & v1_funct_2(D!3, k2_zfmisc_1(A!0, A!0), A!0) & m2_relset_1(D!3, k2_zfmisc_1(A!0, A!0), A!0))) | (~m2_relset_1(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | r6_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)) | (~r6_binop_1(A!0, C!2, D!3)) | (~v1_funct_1(k1_realset1(D!3, B!1))) | (~v1_funct_2(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1))))))),
% 0.44/0.61      inference(monotonicity,[status(thm)],[22])).
% 0.44/0.61  tff(24,plain,
% 0.44/0.61      ((((~v1_xboole_0(B!1)) & m1_subset_1(B!1, k1_zfmisc_1(A!0))) & ((v1_funct_1(C!2) & v1_funct_2(C!2, k2_zfmisc_1(A!0, A!0), A!0) & m2_relset_1(C!2, k2_zfmisc_1(A!0, A!0), A!0)) & (~((~(v1_funct_1(D!3) & v1_funct_2(D!3, k2_zfmisc_1(A!0, A!0), A!0) & m2_relset_1(D!3, k2_zfmisc_1(A!0, A!0), A!0))) | (~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | r6_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)) | (~r6_binop_1(A!0, C!2, D!3)) | (~v1_funct_1(k1_realset1(D!3, B!1))) | (~v1_funct_2(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)))))) <=> ((~v1_xboole_0(B!1)) & m1_subset_1(B!1, k1_zfmisc_1(A!0)) & v1_funct_1(C!2) & v1_funct_2(C!2, k2_zfmisc_1(A!0, A!0), A!0) & m2_relset_1(C!2, k2_zfmisc_1(A!0, A!0), A!0) & (~((~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~(v1_funct_1(D!3) & v1_funct_2(D!3, k2_zfmisc_1(A!0, A!0), A!0) & m2_relset_1(D!3, k2_zfmisc_1(A!0, A!0), A!0))) | (~m2_relset_1(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | r6_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)) | (~r6_binop_1(A!0, C!2, D!3)) | (~v1_funct_1(k1_realset1(D!3, B!1))) | (~v1_funct_2(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)))))),
% 0.44/0.61      inference(transitivity,[status(thm)],[23, 18])).
% 0.44/0.61  tff(25,plain,
% 0.44/0.61      (((~v1_xboole_0(A!0)) & (((~v1_xboole_0(B!1)) & m1_subset_1(B!1, k1_zfmisc_1(A!0))) & ((v1_funct_1(C!2) & v1_funct_2(C!2, k2_zfmisc_1(A!0, A!0), A!0) & m2_relset_1(C!2, k2_zfmisc_1(A!0, A!0), A!0)) & (~((~(v1_funct_1(D!3) & v1_funct_2(D!3, k2_zfmisc_1(A!0, A!0), A!0) & m2_relset_1(D!3, k2_zfmisc_1(A!0, A!0), A!0))) | (~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | r6_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)) | (~r6_binop_1(A!0, C!2, D!3)) | (~v1_funct_1(k1_realset1(D!3, B!1))) | (~v1_funct_2(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1))))))) <=> ((~v1_xboole_0(A!0)) & ((~v1_xboole_0(B!1)) & m1_subset_1(B!1, k1_zfmisc_1(A!0)) & v1_funct_1(C!2) & v1_funct_2(C!2, k2_zfmisc_1(A!0, A!0), A!0) & m2_relset_1(C!2, k2_zfmisc_1(A!0, A!0), A!0) & (~((~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~(v1_funct_1(D!3) & v1_funct_2(D!3, k2_zfmisc_1(A!0, A!0), A!0) & m2_relset_1(D!3, k2_zfmisc_1(A!0, A!0), A!0))) | (~m2_relset_1(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | r6_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)) | (~r6_binop_1(A!0, C!2, D!3)) | (~v1_funct_1(k1_realset1(D!3, B!1))) | (~v1_funct_2(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1))))))),
% 0.44/0.61      inference(monotonicity,[status(thm)],[24])).
% 0.44/0.61  tff(26,plain,
% 0.44/0.61      (((~v1_xboole_0(A!0)) & (((~v1_xboole_0(B!1)) & m1_subset_1(B!1, k1_zfmisc_1(A!0))) & ((v1_funct_1(C!2) & v1_funct_2(C!2, k2_zfmisc_1(A!0, A!0), A!0) & m2_relset_1(C!2, k2_zfmisc_1(A!0, A!0), A!0)) & (~((~(v1_funct_1(D!3) & v1_funct_2(D!3, k2_zfmisc_1(A!0, A!0), A!0) & m2_relset_1(D!3, k2_zfmisc_1(A!0, A!0), A!0))) | (~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | r6_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)) | (~r6_binop_1(A!0, C!2, D!3)) | (~v1_funct_1(k1_realset1(D!3, B!1))) | (~v1_funct_2(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1))))))) <=> ((~v1_xboole_0(A!0)) & (~v1_xboole_0(B!1)) & m1_subset_1(B!1, k1_zfmisc_1(A!0)) & v1_funct_1(C!2) & v1_funct_2(C!2, k2_zfmisc_1(A!0, A!0), A!0) & m2_relset_1(C!2, k2_zfmisc_1(A!0, A!0), A!0) & (~((~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~(v1_funct_1(D!3) & v1_funct_2(D!3, k2_zfmisc_1(A!0, A!0), A!0) & m2_relset_1(D!3, k2_zfmisc_1(A!0, A!0), A!0))) | (~m2_relset_1(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | r6_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)) | (~r6_binop_1(A!0, C!2, D!3)) | (~v1_funct_1(k1_realset1(D!3, B!1))) | (~v1_funct_2(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)))))),
% 0.44/0.61      inference(transitivity,[status(thm)],[25, 17])).
% 0.44/0.61  tff(27,plain,
% 0.44/0.61      ((~![A: $i] : (v1_xboole_0(A) | ![B: $i] : ((~((~v1_xboole_0(B)) & m1_subset_1(B, k1_zfmisc_1(A)))) | ![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A) & m2_relset_1(C, k2_zfmisc_1(A, A), A))) | ![D: $i] : ((~(v1_funct_1(D) & v1_funct_2(D, k2_zfmisc_1(A, A), A) & m2_relset_1(D, k2_zfmisc_1(A, A), A))) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | r6_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)) | (~r6_binop_1(A, C, D)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B))))))) <=> (~![A: $i] : (v1_xboole_0(A) | ![B: $i] : ((~((~v1_xboole_0(B)) & m1_subset_1(B, k1_zfmisc_1(A)))) | ![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A) & m2_relset_1(C, k2_zfmisc_1(A, A), A))) | ![D: $i] : ((~(v1_funct_1(D) & v1_funct_2(D, k2_zfmisc_1(A, A), A) & m2_relset_1(D, k2_zfmisc_1(A, A), A))) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | r6_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)) | (~r6_binop_1(A, C, D)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B)))))))),
% 0.44/0.61      inference(rewrite,[status(thm)],[])).
% 0.44/0.61  tff(28,plain,
% 0.44/0.61      ((~![A: $i] : ((~v1_xboole_0(A)) => ![B: $i] : (((~v1_xboole_0(B)) & m1_subset_1(B, k1_zfmisc_1(A))) => ![C: $i] : (((v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A)) & m2_relset_1(C, k2_zfmisc_1(A, A), A)) => ![D: $i] : (((v1_funct_1(D) & v1_funct_2(D, k2_zfmisc_1(A, A), A)) & m2_relset_1(D, k2_zfmisc_1(A, A), A)) => ![E: $i] : (((v1_funct_1(E) & v1_funct_2(E, k2_zfmisc_1(B, B), B)) & m2_relset_1(E, k2_zfmisc_1(B, B), B)) => ![F: $i] : (((v1_funct_1(F) & v1_funct_2(F, k2_zfmisc_1(B, B), B)) & m2_relset_1(F, k2_zfmisc_1(B, B), B)) => ((((E = k1_realset1(C, B)) & (F = k1_realset1(D, B))) & r6_binop_1(A, C, D)) => r6_binop_1(B, E, F))))))))) <=> (~![A: $i] : (v1_xboole_0(A) | ![B: $i] : ((~((~v1_xboole_0(B)) & m1_subset_1(B, k1_zfmisc_1(A)))) | ![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A) & m2_relset_1(C, k2_zfmisc_1(A, A), A))) | ![D: $i] : ((~(v1_funct_1(D) & v1_funct_2(D, k2_zfmisc_1(A, A), A) & m2_relset_1(D, k2_zfmisc_1(A, A), A))) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | r6_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)) | (~r6_binop_1(A, C, D)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B)))))))),
% 0.44/0.61      inference(rewrite,[status(thm)],[])).
% 0.44/0.61  tff(29,axiom,(~![A: $i] : ((~v1_xboole_0(A)) => ![B: $i] : (((~v1_xboole_0(B)) & m1_subset_1(B, k1_zfmisc_1(A))) => ![C: $i] : (((v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A)) & m2_relset_1(C, k2_zfmisc_1(A, A), A)) => ![D: $i] : (((v1_funct_1(D) & v1_funct_2(D, k2_zfmisc_1(A, A), A)) & m2_relset_1(D, k2_zfmisc_1(A, A), A)) => ![E: $i] : (((v1_funct_1(E) & v1_funct_2(E, k2_zfmisc_1(B, B), B)) & m2_relset_1(E, k2_zfmisc_1(B, B), B)) => ![F: $i] : (((v1_funct_1(F) & v1_funct_2(F, k2_zfmisc_1(B, B), B)) & m2_relset_1(F, k2_zfmisc_1(B, B), B)) => ((((E = k1_realset1(C, B)) & (F = k1_realset1(D, B))) & r6_binop_1(A, C, D)) => r6_binop_1(B, E, F))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','t4_filter_2')).
% 0.44/0.61  tff(30,plain,
% 0.44/0.61      (~![A: $i] : (v1_xboole_0(A) | ![B: $i] : ((~((~v1_xboole_0(B)) & m1_subset_1(B, k1_zfmisc_1(A)))) | ![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A) & m2_relset_1(C, k2_zfmisc_1(A, A), A))) | ![D: $i] : ((~(v1_funct_1(D) & v1_funct_2(D, k2_zfmisc_1(A, A), A) & m2_relset_1(D, k2_zfmisc_1(A, A), A))) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | r6_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)) | (~r6_binop_1(A, C, D)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B))))))),
% 0.44/0.61      inference(modus_ponens,[status(thm)],[29, 28])).
% 0.44/0.61  tff(31,plain,
% 0.44/0.61      (~![A: $i] : (v1_xboole_0(A) | ![B: $i] : ((~((~v1_xboole_0(B)) & m1_subset_1(B, k1_zfmisc_1(A)))) | ![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A) & m2_relset_1(C, k2_zfmisc_1(A, A), A))) | ![D: $i] : ((~(v1_funct_1(D) & v1_funct_2(D, k2_zfmisc_1(A, A), A) & m2_relset_1(D, k2_zfmisc_1(A, A), A))) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | r6_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)) | (~r6_binop_1(A, C, D)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B))))))),
% 0.44/0.61      inference(modus_ponens,[status(thm)],[30, 27])).
% 0.44/0.61  tff(32,plain,
% 0.44/0.61      (~![A: $i] : (v1_xboole_0(A) | ![B: $i] : ((~((~v1_xboole_0(B)) & m1_subset_1(B, k1_zfmisc_1(A)))) | ![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A) & m2_relset_1(C, k2_zfmisc_1(A, A), A))) | ![D: $i] : ((~(v1_funct_1(D) & v1_funct_2(D, k2_zfmisc_1(A, A), A) & m2_relset_1(D, k2_zfmisc_1(A, A), A))) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | r6_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)) | (~r6_binop_1(A, C, D)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B))))))),
% 0.44/0.61      inference(modus_ponens,[status(thm)],[31, 27])).
% 0.44/0.61  tff(33,plain,
% 0.44/0.61      (~![A: $i] : (v1_xboole_0(A) | ![B: $i] : ((~((~v1_xboole_0(B)) & m1_subset_1(B, k1_zfmisc_1(A)))) | ![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A) & m2_relset_1(C, k2_zfmisc_1(A, A), A))) | ![D: $i] : ((~(v1_funct_1(D) & v1_funct_2(D, k2_zfmisc_1(A, A), A) & m2_relset_1(D, k2_zfmisc_1(A, A), A))) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | r6_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)) | (~r6_binop_1(A, C, D)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B))))))),
% 0.44/0.61      inference(modus_ponens,[status(thm)],[32, 27])).
% 0.44/0.61  tff(34,plain,
% 0.44/0.61      ((~v1_xboole_0(A!0)) & (~v1_xboole_0(B!1)) & m1_subset_1(B!1, k1_zfmisc_1(A!0)) & v1_funct_1(C!2) & v1_funct_2(C!2, k2_zfmisc_1(A!0, A!0), A!0) & m2_relset_1(C!2, k2_zfmisc_1(A!0, A!0), A!0) & (~((~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~(v1_funct_1(D!3) & v1_funct_2(D!3, k2_zfmisc_1(A!0, A!0), A!0) & m2_relset_1(D!3, k2_zfmisc_1(A!0, A!0), A!0))) | (~m2_relset_1(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | r6_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)) | (~r6_binop_1(A!0, C!2, D!3)) | (~v1_funct_1(k1_realset1(D!3, B!1))) | (~v1_funct_2(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1))))),
% 0.44/0.61      inference(modus_ponens,[status(thm)],[33, 26])).
% 0.44/0.61  tff(35,plain,
% 0.44/0.61      (~((~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~(v1_funct_1(D!3) & v1_funct_2(D!3, k2_zfmisc_1(A!0, A!0), A!0) & m2_relset_1(D!3, k2_zfmisc_1(A!0, A!0), A!0))) | (~m2_relset_1(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | r6_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)) | (~r6_binop_1(A!0, C!2, D!3)) | (~v1_funct_1(k1_realset1(D!3, B!1))) | (~v1_funct_2(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)))),
% 0.44/0.61      inference(and_elim,[status(thm)],[34])).
% 0.44/0.61  tff(36,plain,
% 0.44/0.61      (v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)),
% 0.44/0.61      inference(or_elim,[status(thm)],[35])).
% 0.44/0.61  tff(37,plain,
% 0.44/0.61      (v1_funct_1(k1_realset1(C!2, B!1))),
% 0.44/0.61      inference(or_elim,[status(thm)],[35])).
% 0.44/0.61  tff(38,plain,
% 0.44/0.61      (m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)),
% 0.44/0.61      inference(or_elim,[status(thm)],[35])).
% 0.44/0.61  tff(39,plain,
% 0.44/0.61      (((~![A: $i, B: $i] : ((~v1_funct_1(B)) | (~v1_funct_2(B, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(B, k2_zfmisc_1(A, A), A)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(C, k2_zfmisc_1(A, A), A)) | (~(((~r4_binop_1(A, B, C)) | (~r5_binop_1(A, B, C))) <=> r6_binop_1(A, B, C)))))) | ((~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(C, k2_zfmisc_1(B!1, B!1), B!1)) | (~(((~r4_binop_1(B!1, k1_realset1(C!2, B!1), C)) | (~r5_binop_1(B!1, k1_realset1(C!2, B!1), C))) <=> r6_binop_1(B!1, k1_realset1(C!2, B!1), C)))))) <=> ((~![A: $i, B: $i] : ((~v1_funct_1(B)) | (~v1_funct_2(B, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(B, k2_zfmisc_1(A, A), A)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(C, k2_zfmisc_1(A, A), A)) | (~(((~r4_binop_1(A, B, C)) | (~r5_binop_1(A, B, C))) <=> r6_binop_1(A, B, C)))))) | (~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(C, k2_zfmisc_1(B!1, B!1), B!1)) | (~(((~r4_binop_1(B!1, k1_realset1(C!2, B!1), C)) | (~r5_binop_1(B!1, k1_realset1(C!2, B!1), C))) <=> r6_binop_1(B!1, k1_realset1(C!2, B!1), C)))))),
% 0.44/0.61      inference(rewrite,[status(thm)],[])).
% 0.44/0.61  tff(40,plain,
% 0.44/0.61      (((~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(C, k2_zfmisc_1(B!1, B!1), B!1)) | (~(((~r4_binop_1(B!1, k1_realset1(C!2, B!1), C)) | (~r5_binop_1(B!1, k1_realset1(C!2, B!1), C))) <=> r6_binop_1(B!1, k1_realset1(C!2, B!1), C))))) <=> ((~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(C, k2_zfmisc_1(B!1, B!1), B!1)) | (~(((~r4_binop_1(B!1, k1_realset1(C!2, B!1), C)) | (~r5_binop_1(B!1, k1_realset1(C!2, B!1), C))) <=> r6_binop_1(B!1, k1_realset1(C!2, B!1), C)))))),
% 0.44/0.61      inference(rewrite,[status(thm)],[])).
% 0.44/0.61  tff(41,plain,
% 0.44/0.61      (((~![A: $i, B: $i] : ((~v1_funct_1(B)) | (~v1_funct_2(B, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(B, k2_zfmisc_1(A, A), A)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(C, k2_zfmisc_1(A, A), A)) | (~(((~r4_binop_1(A, B, C)) | (~r5_binop_1(A, B, C))) <=> r6_binop_1(A, B, C)))))) | ((~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(C, k2_zfmisc_1(B!1, B!1), B!1)) | (~(((~r4_binop_1(B!1, k1_realset1(C!2, B!1), C)) | (~r5_binop_1(B!1, k1_realset1(C!2, B!1), C))) <=> r6_binop_1(B!1, k1_realset1(C!2, B!1), C)))))) <=> ((~![A: $i, B: $i] : ((~v1_funct_1(B)) | (~v1_funct_2(B, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(B, k2_zfmisc_1(A, A), A)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(C, k2_zfmisc_1(A, A), A)) | (~(((~r4_binop_1(A, B, C)) | (~r5_binop_1(A, B, C))) <=> r6_binop_1(A, B, C)))))) | ((~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(C, k2_zfmisc_1(B!1, B!1), B!1)) | (~(((~r4_binop_1(B!1, k1_realset1(C!2, B!1), C)) | (~r5_binop_1(B!1, k1_realset1(C!2, B!1), C))) <=> r6_binop_1(B!1, k1_realset1(C!2, B!1), C))))))),
% 0.44/0.62      inference(monotonicity,[status(thm)],[40])).
% 0.44/0.62  tff(42,plain,
% 0.44/0.62      (((~![A: $i, B: $i] : ((~v1_funct_1(B)) | (~v1_funct_2(B, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(B, k2_zfmisc_1(A, A), A)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(C, k2_zfmisc_1(A, A), A)) | (~(((~r4_binop_1(A, B, C)) | (~r5_binop_1(A, B, C))) <=> r6_binop_1(A, B, C)))))) | ((~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(C, k2_zfmisc_1(B!1, B!1), B!1)) | (~(((~r4_binop_1(B!1, k1_realset1(C!2, B!1), C)) | (~r5_binop_1(B!1, k1_realset1(C!2, B!1), C))) <=> r6_binop_1(B!1, k1_realset1(C!2, B!1), C)))))) <=> ((~![A: $i, B: $i] : ((~v1_funct_1(B)) | (~v1_funct_2(B, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(B, k2_zfmisc_1(A, A), A)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(C, k2_zfmisc_1(A, A), A)) | (~(((~r4_binop_1(A, B, C)) | (~r5_binop_1(A, B, C))) <=> r6_binop_1(A, B, C)))))) | (~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(C, k2_zfmisc_1(B!1, B!1), B!1)) | (~(((~r4_binop_1(B!1, k1_realset1(C!2, B!1), C)) | (~r5_binop_1(B!1, k1_realset1(C!2, B!1), C))) <=> r6_binop_1(B!1, k1_realset1(C!2, B!1), C)))))),
% 0.44/0.62      inference(transitivity,[status(thm)],[41, 39])).
% 0.44/0.62  tff(43,plain,
% 0.44/0.62      ((~![A: $i, B: $i] : ((~v1_funct_1(B)) | (~v1_funct_2(B, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(B, k2_zfmisc_1(A, A), A)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(C, k2_zfmisc_1(A, A), A)) | (~(((~r4_binop_1(A, B, C)) | (~r5_binop_1(A, B, C))) <=> r6_binop_1(A, B, C)))))) | ((~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(C, k2_zfmisc_1(B!1, B!1), B!1)) | (~(((~r4_binop_1(B!1, k1_realset1(C!2, B!1), C)) | (~r5_binop_1(B!1, k1_realset1(C!2, B!1), C))) <=> r6_binop_1(B!1, k1_realset1(C!2, B!1), C)))))),
% 0.44/0.62      inference(quant_inst,[status(thm)],[])).
% 0.44/0.62  tff(44,plain,
% 0.44/0.62      ((~![A: $i, B: $i] : ((~v1_funct_1(B)) | (~v1_funct_2(B, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(B, k2_zfmisc_1(A, A), A)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(C, k2_zfmisc_1(A, A), A)) | (~(((~r4_binop_1(A, B, C)) | (~r5_binop_1(A, B, C))) <=> r6_binop_1(A, B, C)))))) | (~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(C, k2_zfmisc_1(B!1, B!1), B!1)) | (~(((~r4_binop_1(B!1, k1_realset1(C!2, B!1), C)) | (~r5_binop_1(B!1, k1_realset1(C!2, B!1), C))) <=> r6_binop_1(B!1, k1_realset1(C!2, B!1), C))))),
% 0.46/0.62      inference(modus_ponens,[status(thm)],[43, 42])).
% 0.46/0.62  tff(45,plain,
% 0.46/0.62      (![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(C, k2_zfmisc_1(B!1, B!1), B!1)) | (~(((~r4_binop_1(B!1, k1_realset1(C!2, B!1), C)) | (~r5_binop_1(B!1, k1_realset1(C!2, B!1), C))) <=> r6_binop_1(B!1, k1_realset1(C!2, B!1), C))))),
% 0.46/0.62      inference(unit_resolution,[status(thm)],[44, 38, 37, 36, 16])).
% 0.46/0.62  tff(46,plain,
% 0.46/0.62      (v1_funct_2(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)),
% 0.46/0.62      inference(or_elim,[status(thm)],[35])).
% 0.46/0.62  tff(47,plain,
% 0.46/0.62      (v1_funct_1(k1_realset1(D!3, B!1))),
% 0.46/0.62      inference(or_elim,[status(thm)],[35])).
% 0.46/0.62  tff(48,plain,
% 0.46/0.62      (m2_relset_1(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)),
% 0.46/0.62      inference(or_elim,[status(thm)],[35])).
% 0.46/0.62  tff(49,plain,
% 0.46/0.62      (((~![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(C, k2_zfmisc_1(B!1, B!1), B!1)) | (~(((~r4_binop_1(B!1, k1_realset1(C!2, B!1), C)) | (~r5_binop_1(B!1, k1_realset1(C!2, B!1), C))) <=> r6_binop_1(B!1, k1_realset1(C!2, B!1), C))))) | ((~m2_relset_1(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(D!3, B!1))) | (~v1_funct_2(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~(((~r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1))) | (~r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)))) <=> r6_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)))))) <=> ((~![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(C, k2_zfmisc_1(B!1, B!1), B!1)) | (~(((~r4_binop_1(B!1, k1_realset1(C!2, B!1), C)) | (~r5_binop_1(B!1, k1_realset1(C!2, B!1), C))) <=> r6_binop_1(B!1, k1_realset1(C!2, B!1), C))))) | (~m2_relset_1(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(D!3, B!1))) | (~v1_funct_2(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~(((~r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1))) | (~r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)))) <=> r6_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)))))),
% 0.46/0.62      inference(rewrite,[status(thm)],[])).
% 0.46/0.62  tff(50,plain,
% 0.46/0.62      (((~v1_funct_1(k1_realset1(D!3, B!1))) | (~v1_funct_2(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~(((~r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1))) | (~r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)))) <=> r6_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1))))) <=> ((~m2_relset_1(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(D!3, B!1))) | (~v1_funct_2(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~(((~r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1))) | (~r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)))) <=> r6_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)))))),
% 0.46/0.62      inference(rewrite,[status(thm)],[])).
% 0.46/0.62  tff(51,plain,
% 0.46/0.62      ((~(((~r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1))) | (~r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)))) <=> r6_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)))) <=> (~(((~r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1))) | (~r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)))) <=> r6_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1))))),
% 0.46/0.62      inference(rewrite,[status(thm)],[])).
% 0.46/0.62  tff(52,plain,
% 0.46/0.62      (((~v1_funct_1(k1_realset1(D!3, B!1))) | (~v1_funct_2(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~(((~r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1))) | (~r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)))) <=> r6_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1))))) <=> ((~v1_funct_1(k1_realset1(D!3, B!1))) | (~v1_funct_2(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~(((~r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1))) | (~r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)))) <=> r6_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)))))),
% 0.46/0.62      inference(monotonicity,[status(thm)],[51])).
% 0.46/0.62  tff(53,plain,
% 0.46/0.62      (((~v1_funct_1(k1_realset1(D!3, B!1))) | (~v1_funct_2(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~(((~r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1))) | (~r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)))) <=> r6_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1))))) <=> ((~m2_relset_1(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(D!3, B!1))) | (~v1_funct_2(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~(((~r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1))) | (~r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)))) <=> r6_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)))))),
% 0.46/0.62      inference(transitivity,[status(thm)],[52, 50])).
% 0.46/0.62  tff(54,plain,
% 0.46/0.62      (((~![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(C, k2_zfmisc_1(B!1, B!1), B!1)) | (~(((~r4_binop_1(B!1, k1_realset1(C!2, B!1), C)) | (~r5_binop_1(B!1, k1_realset1(C!2, B!1), C))) <=> r6_binop_1(B!1, k1_realset1(C!2, B!1), C))))) | ((~v1_funct_1(k1_realset1(D!3, B!1))) | (~v1_funct_2(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~(((~r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1))) | (~r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)))) <=> r6_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)))))) <=> ((~![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(C, k2_zfmisc_1(B!1, B!1), B!1)) | (~(((~r4_binop_1(B!1, k1_realset1(C!2, B!1), C)) | (~r5_binop_1(B!1, k1_realset1(C!2, B!1), C))) <=> r6_binop_1(B!1, k1_realset1(C!2, B!1), C))))) | ((~m2_relset_1(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(D!3, B!1))) | (~v1_funct_2(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~(((~r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1))) | (~r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)))) <=> r6_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1))))))),
% 0.46/0.62      inference(monotonicity,[status(thm)],[53])).
% 0.46/0.62  tff(55,plain,
% 0.46/0.62      (((~![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(C, k2_zfmisc_1(B!1, B!1), B!1)) | (~(((~r4_binop_1(B!1, k1_realset1(C!2, B!1), C)) | (~r5_binop_1(B!1, k1_realset1(C!2, B!1), C))) <=> r6_binop_1(B!1, k1_realset1(C!2, B!1), C))))) | ((~v1_funct_1(k1_realset1(D!3, B!1))) | (~v1_funct_2(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~(((~r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1))) | (~r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)))) <=> r6_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)))))) <=> ((~![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(C, k2_zfmisc_1(B!1, B!1), B!1)) | (~(((~r4_binop_1(B!1, k1_realset1(C!2, B!1), C)) | (~r5_binop_1(B!1, k1_realset1(C!2, B!1), C))) <=> r6_binop_1(B!1, k1_realset1(C!2, B!1), C))))) | (~m2_relset_1(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(D!3, B!1))) | (~v1_funct_2(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~(((~r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1))) | (~r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)))) <=> r6_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)))))),
% 0.46/0.62      inference(transitivity,[status(thm)],[54, 49])).
% 0.46/0.62  tff(56,plain,
% 0.46/0.62      ((~![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(C, k2_zfmisc_1(B!1, B!1), B!1)) | (~(((~r4_binop_1(B!1, k1_realset1(C!2, B!1), C)) | (~r5_binop_1(B!1, k1_realset1(C!2, B!1), C))) <=> r6_binop_1(B!1, k1_realset1(C!2, B!1), C))))) | ((~v1_funct_1(k1_realset1(D!3, B!1))) | (~v1_funct_2(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~(((~r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1))) | (~r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)))) <=> r6_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)))))),
% 0.46/0.62      inference(quant_inst,[status(thm)],[])).
% 0.46/0.62  tff(57,plain,
% 0.46/0.62      ((~![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(C, k2_zfmisc_1(B!1, B!1), B!1)) | (~(((~r4_binop_1(B!1, k1_realset1(C!2, B!1), C)) | (~r5_binop_1(B!1, k1_realset1(C!2, B!1), C))) <=> r6_binop_1(B!1, k1_realset1(C!2, B!1), C))))) | (~m2_relset_1(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(D!3, B!1))) | (~v1_funct_2(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~(((~r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1))) | (~r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)))) <=> r6_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1))))),
% 0.46/0.62      inference(modus_ponens,[status(thm)],[56, 55])).
% 0.46/0.62  tff(58,plain,
% 0.46/0.62      (~(((~r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1))) | (~r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)))) <=> r6_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)))),
% 0.46/0.62      inference(unit_resolution,[status(thm)],[57, 48, 47, 46, 45])).
% 0.46/0.62  tff(59,plain,
% 0.46/0.62      (~r6_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1))),
% 0.46/0.62      inference(or_elim,[status(thm)],[35])).
% 0.46/0.62  tff(60,plain,
% 0.46/0.62      ((((~r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1))) | (~r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)))) <=> r6_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1))) | ((~r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1))) | (~r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)))) | r6_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1))),
% 0.46/0.62      inference(tautology,[status(thm)],[])).
% 0.46/0.62  tff(61,plain,
% 0.46/0.62      ((((~r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1))) | (~r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)))) <=> r6_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1))) | ((~r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1))) | (~r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1))))),
% 0.46/0.62      inference(unit_resolution,[status(thm)],[60, 59])).
% 0.46/0.62  tff(62,plain,
% 0.46/0.62      ((~r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1))) | (~r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)))),
% 0.46/0.62      inference(unit_resolution,[status(thm)],[61, 58])).
% 0.46/0.62  tff(63,plain,
% 0.46/0.62      (^[A: $i] : refl((v1_xboole_0(A) | ![B: $i] : (v1_xboole_0(B) | (~m1_subset_1(B, k1_zfmisc_1(A))) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(C, k2_zfmisc_1(A, A), A)) | ![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_2(D, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(D, k2_zfmisc_1(A, A), A)) | (~((~((~r4_binop_1(A, C, D)) | r4_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)))) | (~((~r5_binop_1(A, C, D)) | r5_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)))))))))) <=> (v1_xboole_0(A) | ![B: $i] : (v1_xboole_0(B) | (~m1_subset_1(B, k1_zfmisc_1(A))) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(C, k2_zfmisc_1(A, A), A)) | ![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_2(D, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(D, k2_zfmisc_1(A, A), A)) | (~((~((~r4_binop_1(A, C, D)) | r4_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)))) | (~((~r5_binop_1(A, C, D)) | r5_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)))))))))))),
% 0.46/0.62      inference(bind,[status(th)],[])).
% 0.46/0.62  tff(64,plain,
% 0.46/0.62      (![A: $i] : (v1_xboole_0(A) | ![B: $i] : (v1_xboole_0(B) | (~m1_subset_1(B, k1_zfmisc_1(A))) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(C, k2_zfmisc_1(A, A), A)) | ![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_2(D, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(D, k2_zfmisc_1(A, A), A)) | (~((~((~r4_binop_1(A, C, D)) | r4_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)))) | (~((~r5_binop_1(A, C, D)) | r5_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)))))))))) <=> ![A: $i] : (v1_xboole_0(A) | ![B: $i] : (v1_xboole_0(B) | (~m1_subset_1(B, k1_zfmisc_1(A))) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(C, k2_zfmisc_1(A, A), A)) | ![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_2(D, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(D, k2_zfmisc_1(A, A), A)) | (~((~((~r4_binop_1(A, C, D)) | r4_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)))) | (~((~r5_binop_1(A, C, D)) | r5_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))))))))))),
% 0.46/0.62      inference(quant_intro,[status(thm)],[63])).
% 0.46/0.62  tff(65,plain,
% 0.46/0.62      (^[A: $i] : rewrite((v1_xboole_0(A) | ![B: $i] : (v1_xboole_0(B) | (~m1_subset_1(B, k1_zfmisc_1(A))) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(C, k2_zfmisc_1(A, A), A)) | ![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_2(D, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(D, k2_zfmisc_1(A, A), A)) | (~((~((~r4_binop_1(A, C, D)) | r4_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)))) | (~((~r5_binop_1(A, C, D)) | r5_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)))))))))) <=> (v1_xboole_0(A) | ![B: $i] : (v1_xboole_0(B) | (~m1_subset_1(B, k1_zfmisc_1(A))) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(C, k2_zfmisc_1(A, A), A)) | ![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_2(D, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(D, k2_zfmisc_1(A, A), A)) | (~((~((~r4_binop_1(A, C, D)) | r4_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)))) | (~((~r5_binop_1(A, C, D)) | r5_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)))))))))))),
% 0.46/0.62      inference(bind,[status(th)],[])).
% 0.46/0.62  tff(66,plain,
% 0.46/0.62      (![A: $i] : (v1_xboole_0(A) | ![B: $i] : (v1_xboole_0(B) | (~m1_subset_1(B, k1_zfmisc_1(A))) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(C, k2_zfmisc_1(A, A), A)) | ![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_2(D, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(D, k2_zfmisc_1(A, A), A)) | (~((~((~r4_binop_1(A, C, D)) | r4_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)))) | (~((~r5_binop_1(A, C, D)) | r5_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)))))))))) <=> ![A: $i] : (v1_xboole_0(A) | ![B: $i] : (v1_xboole_0(B) | (~m1_subset_1(B, k1_zfmisc_1(A))) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(C, k2_zfmisc_1(A, A), A)) | ![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_2(D, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(D, k2_zfmisc_1(A, A), A)) | (~((~((~r4_binop_1(A, C, D)) | r4_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)))) | (~((~r5_binop_1(A, C, D)) | r5_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))))))))))),
% 0.46/0.62      inference(quant_intro,[status(thm)],[65])).
% 0.46/0.62  tff(67,plain,
% 0.46/0.62      (![A: $i] : (v1_xboole_0(A) | ![B: $i] : (v1_xboole_0(B) | (~m1_subset_1(B, k1_zfmisc_1(A))) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(C, k2_zfmisc_1(A, A), A)) | ![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_2(D, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(D, k2_zfmisc_1(A, A), A)) | (~((~((~r4_binop_1(A, C, D)) | r4_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)))) | (~((~r5_binop_1(A, C, D)) | r5_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)))))))))) <=> ![A: $i] : (v1_xboole_0(A) | ![B: $i] : (v1_xboole_0(B) | (~m1_subset_1(B, k1_zfmisc_1(A))) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(C, k2_zfmisc_1(A, A), A)) | ![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_2(D, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(D, k2_zfmisc_1(A, A), A)) | (~((~((~r4_binop_1(A, C, D)) | r4_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)))) | (~((~r5_binop_1(A, C, D)) | r5_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))))))))))),
% 0.46/0.62      inference(transitivity,[status(thm)],[66, 64])).
% 0.46/0.62  tff(68,plain,
% 0.46/0.62      (^[A: $i] : rewrite((v1_xboole_0(A) | ![B: $i] : ((~((~v1_xboole_0(B)) & m1_subset_1(B, k1_zfmisc_1(A)))) | ![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A) & m2_relset_1(C, k2_zfmisc_1(A, A), A))) | ![D: $i] : ((~(v1_funct_1(D) & v1_funct_2(D, k2_zfmisc_1(A, A), A) & m2_relset_1(D, k2_zfmisc_1(A, A), A))) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (((~r4_binop_1(A, C, D)) | r4_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))) & ((~r5_binop_1(A, C, D)) | r5_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)))))))) <=> (v1_xboole_0(A) | ![B: $i] : (v1_xboole_0(B) | (~m1_subset_1(B, k1_zfmisc_1(A))) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(C, k2_zfmisc_1(A, A), A)) | ![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_2(D, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(D, k2_zfmisc_1(A, A), A)) | (~((~((~r4_binop_1(A, C, D)) | r4_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)))) | (~((~r5_binop_1(A, C, D)) | r5_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)))))))))))),
% 0.46/0.63      inference(bind,[status(th)],[])).
% 0.46/0.63  tff(69,plain,
% 0.46/0.63      (![A: $i] : (v1_xboole_0(A) | ![B: $i] : ((~((~v1_xboole_0(B)) & m1_subset_1(B, k1_zfmisc_1(A)))) | ![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A) & m2_relset_1(C, k2_zfmisc_1(A, A), A))) | ![D: $i] : ((~(v1_funct_1(D) & v1_funct_2(D, k2_zfmisc_1(A, A), A) & m2_relset_1(D, k2_zfmisc_1(A, A), A))) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (((~r4_binop_1(A, C, D)) | r4_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))) & ((~r5_binop_1(A, C, D)) | r5_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)))))))) <=> ![A: $i] : (v1_xboole_0(A) | ![B: $i] : (v1_xboole_0(B) | (~m1_subset_1(B, k1_zfmisc_1(A))) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(C, k2_zfmisc_1(A, A), A)) | ![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_2(D, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(D, k2_zfmisc_1(A, A), A)) | (~((~((~r4_binop_1(A, C, D)) | r4_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)))) | (~((~r5_binop_1(A, C, D)) | r5_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))))))))))),
% 0.46/0.63      inference(quant_intro,[status(thm)],[68])).
% 0.46/0.63  tff(70,plain,
% 0.46/0.63      (![A: $i] : (v1_xboole_0(A) | ![B: $i] : ((~((~v1_xboole_0(B)) & m1_subset_1(B, k1_zfmisc_1(A)))) | ![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A) & m2_relset_1(C, k2_zfmisc_1(A, A), A))) | ![D: $i] : ((~(v1_funct_1(D) & v1_funct_2(D, k2_zfmisc_1(A, A), A) & m2_relset_1(D, k2_zfmisc_1(A, A), A))) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (((~r4_binop_1(A, C, D)) | r4_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))) & ((~r5_binop_1(A, C, D)) | r5_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)))))))) <=> ![A: $i] : (v1_xboole_0(A) | ![B: $i] : ((~((~v1_xboole_0(B)) & m1_subset_1(B, k1_zfmisc_1(A)))) | ![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A) & m2_relset_1(C, k2_zfmisc_1(A, A), A))) | ![D: $i] : ((~(v1_funct_1(D) & v1_funct_2(D, k2_zfmisc_1(A, A), A) & m2_relset_1(D, k2_zfmisc_1(A, A), A))) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (((~r4_binop_1(A, C, D)) | r4_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))) & ((~r5_binop_1(A, C, D)) | r5_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))))))))),
% 0.46/0.63      inference(rewrite,[status(thm)],[])).
% 0.46/0.63  tff(71,plain,
% 0.46/0.63      (^[A: $i] : trans(monotonicity(quant_intro(proof_bind(^[B: $i] : trans(monotonicity(quant_intro(proof_bind(^[C: $i] : trans(monotonicity(rewrite(((v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A)) & m2_relset_1(C, k2_zfmisc_1(A, A), A)) <=> (v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A) & m2_relset_1(C, k2_zfmisc_1(A, A), A))), quant_intro(proof_bind(^[D: $i] : trans(monotonicity(rewrite(((v1_funct_1(D) & v1_funct_2(D, k2_zfmisc_1(A, A), A)) & m2_relset_1(D, k2_zfmisc_1(A, A), A)) <=> (v1_funct_1(D) & v1_funct_2(D, k2_zfmisc_1(A, A), A) & m2_relset_1(D, k2_zfmisc_1(A, A), A))), trans(quant_intro(proof_bind(^[E: $i] : trans(monotonicity(rewrite(((v1_funct_1(E) & v1_funct_2(E, k2_zfmisc_1(B, B), B)) & m2_relset_1(E, k2_zfmisc_1(B, B), B)) <=> (v1_funct_1(E) & v1_funct_2(E, k2_zfmisc_1(B, B), B) & m2_relset_1(E, k2_zfmisc_1(B, B), B))), trans(quant_intro(proof_bind(^[F: $i] : trans(monotonicity(rewrite(((v1_funct_1(F) & v1_funct_2(F, k2_zfmisc_1(B, B), B)) & m2_relset_1(F, k2_zfmisc_1(B, B), B)) <=> (v1_funct_1(F) & v1_funct_2(F, k2_zfmisc_1(B, B), B) & m2_relset_1(F, k2_zfmisc_1(B, B), B))), trans(monotonicity(rewrite(((r4_binop_1(A, C, D) => r4_binop_1(B, E, F)) & (r5_binop_1(A, C, D) => r5_binop_1(B, E, F))) <=> (((~r4_binop_1(A, C, D)) | r4_binop_1(B, E, F)) & ((~r5_binop_1(A, C, D)) | r5_binop_1(B, E, F)))), ((((E = k1_realset1(C, B)) & (F = k1_realset1(D, B))) => ((r4_binop_1(A, C, D) => r4_binop_1(B, E, F)) & (r5_binop_1(A, C, D) => r5_binop_1(B, E, F)))) <=> (((E = k1_realset1(C, B)) & (F = k1_realset1(D, B))) => (((~r4_binop_1(A, C, D)) | r4_binop_1(B, E, F)) & ((~r5_binop_1(A, C, D)) | r5_binop_1(B, E, F)))))), rewrite((((E = k1_realset1(C, B)) & (F = k1_realset1(D, B))) => (((~r4_binop_1(A, C, D)) | r4_binop_1(B, E, F)) & ((~r5_binop_1(A, C, D)) | r5_binop_1(B, E, F)))) <=> ((~((E = k1_realset1(C, B)) & (F = k1_realset1(D, B)))) | (((~r4_binop_1(A, C, D)) | r4_binop_1(B, E, F)) & ((~r5_binop_1(A, C, D)) | r5_binop_1(B, E, F))))), ((((E = k1_realset1(C, B)) & (F = k1_realset1(D, B))) => ((r4_binop_1(A, C, D) => r4_binop_1(B, E, F)) & (r5_binop_1(A, C, D) => r5_binop_1(B, E, F)))) <=> ((~((E = k1_realset1(C, B)) & (F = k1_realset1(D, B)))) | (((~r4_binop_1(A, C, D)) | r4_binop_1(B, E, F)) & ((~r5_binop_1(A, C, D)) | r5_binop_1(B, E, F)))))), ((((v1_funct_1(F) & v1_funct_2(F, k2_zfmisc_1(B, B), B)) & m2_relset_1(F, k2_zfmisc_1(B, B), B)) => (((E = k1_realset1(C, B)) & (F = k1_realset1(D, B))) => ((r4_binop_1(A, C, D) => r4_binop_1(B, E, F)) & (r5_binop_1(A, C, D) => r5_binop_1(B, E, F))))) <=> ((v1_funct_1(F) & v1_funct_2(F, k2_zfmisc_1(B, B), B) & m2_relset_1(F, k2_zfmisc_1(B, B), B)) => ((~((E = k1_realset1(C, B)) & (F = k1_realset1(D, B)))) | (((~r4_binop_1(A, C, D)) | r4_binop_1(B, E, F)) & ((~r5_binop_1(A, C, D)) | r5_binop_1(B, E, F))))))), rewrite(((v1_funct_1(F) & v1_funct_2(F, k2_zfmisc_1(B, B), B) & m2_relset_1(F, k2_zfmisc_1(B, B), B)) => ((~((E = k1_realset1(C, B)) & (F = k1_realset1(D, B)))) | (((~r4_binop_1(A, C, D)) | r4_binop_1(B, E, F)) & ((~r5_binop_1(A, C, D)) | r5_binop_1(B, E, F))))) <=> ((~((E = k1_realset1(C, B)) & (F = k1_realset1(D, B)))) | (((~r4_binop_1(A, C, D)) | r4_binop_1(B, E, F)) & ((~r5_binop_1(A, C, D)) | r5_binop_1(B, E, F))) | (~(v1_funct_1(F) & v1_funct_2(F, k2_zfmisc_1(B, B), B) & m2_relset_1(F, k2_zfmisc_1(B, B), B))))), ((((v1_funct_1(F) & v1_funct_2(F, k2_zfmisc_1(B, B), B)) & m2_relset_1(F, k2_zfmisc_1(B, B), B)) => (((E = k1_realset1(C, B)) & (F = k1_realset1(D, B))) => ((r4_binop_1(A, C, D) => r4_binop_1(B, E, F)) & (r5_binop_1(A, C, D) => r5_binop_1(B, E, F))))) <=> ((~((E = k1_realset1(C, B)) & (F = k1_realset1(D, B)))) | (((~r4_binop_1(A, C, D)) | r4_binop_1(B, E, F)) & ((~r5_binop_1(A, C, D)) | r5_binop_1(B, E, F))) | (~(v1_funct_1(F) & v1_funct_2(F, k2_zfmisc_1(B, B), B) & m2_relset_1(F, k2_zfmisc_1(B, B), B))))))), (![F: $i] : (((v1_funct_1(F) & v1_funct_2(F, k2_zfmisc_1(B, B), B)) & m2_relset_1(F, k2_zfmisc_1(B, B), B)) => (((E = k1_realset1(C, B)) & (F = k1_realset1(D, B))) => ((r4_binop_1(A, C, D) => r4_binop_1(B, E, F)) & (r5_binop_1(A, C, D) => r5_binop_1(B, E, F))))) <=> ![F: $i] : ((~((E = k1_realset1(C, B)) & (F = k1_realset1(D, B)))) | (((~r4_binop_1(A, C, D)) | r4_binop_1(B, E, F)) & ((~r5_binop_1(A, C, D)) | r5_binop_1(B, E, F))) | (~(v1_funct_1(F) & v1_funct_2(F, k2_zfmisc_1(B, B), B) & m2_relset_1(F, k2_zfmisc_1(B, B), B)))))), trans(der(![F: $i] : ((~((E = k1_realset1(C, B)) & (F = k1_realset1(D, B)))) | (((~r4_binop_1(A, C, D)) | r4_binop_1(B, E, F)) & ((~r5_binop_1(A, C, D)) | r5_binop_1(B, E, F))) | (~(v1_funct_1(F) & v1_funct_2(F, k2_zfmisc_1(B, B), B) & m2_relset_1(F, k2_zfmisc_1(B, B), B)))) <=> ![F: $i] : ((~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (((~r4_binop_1(A, C, D)) | r4_binop_1(B, E, k1_realset1(D, B))) & ((~r5_binop_1(A, C, D)) | r5_binop_1(B, E, k1_realset1(D, B)))) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~(E = k1_realset1(C, B))))), elim_unused(![F: $i] : ((~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (((~r4_binop_1(A, C, D)) | r4_binop_1(B, E, k1_realset1(D, B))) & ((~r5_binop_1(A, C, D)) | r5_binop_1(B, E, k1_realset1(D, B)))) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~(E = k1_realset1(C, B)))) <=> ((~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (((~r4_binop_1(A, C, D)) | r4_binop_1(B, E, k1_realset1(D, B))) & ((~r5_binop_1(A, C, D)) | r5_binop_1(B, E, k1_realset1(D, B)))) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~(E = k1_realset1(C, B))))), (![F: $i] : ((~((E = k1_realset1(C, B)) & (F = k1_realset1(D, B)))) | (((~r4_binop_1(A, C, D)) | r4_binop_1(B, E, F)) & ((~r5_binop_1(A, C, D)) | r5_binop_1(B, E, F))) | (~(v1_funct_1(F) & v1_funct_2(F, k2_zfmisc_1(B, B), B) & m2_relset_1(F, k2_zfmisc_1(B, B), B)))) <=> ((~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (((~r4_binop_1(A, C, D)) | r4_binop_1(B, E, k1_realset1(D, B))) & ((~r5_binop_1(A, C, D)) | r5_binop_1(B, E, k1_realset1(D, B)))) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~(E = k1_realset1(C, B)))))), (![F: $i] : (((v1_funct_1(F) & v1_funct_2(F, k2_zfmisc_1(B, B), B)) & m2_relset_1(F, k2_zfmisc_1(B, B), B)) => (((E = k1_realset1(C, B)) & (F = k1_realset1(D, B))) => ((r4_binop_1(A, C, D) => r4_binop_1(B, E, F)) & (r5_binop_1(A, C, D) => r5_binop_1(B, E, F))))) <=> ((~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (((~r4_binop_1(A, C, D)) | r4_binop_1(B, E, k1_realset1(D, B))) & ((~r5_binop_1(A, C, D)) | r5_binop_1(B, E, k1_realset1(D, B)))) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~(E = k1_realset1(C, B)))))), ((((v1_funct_1(E) & v1_funct_2(E, k2_zfmisc_1(B, B), B)) & m2_relset_1(E, k2_zfmisc_1(B, B), B)) => ![F: $i] : (((v1_funct_1(F) & v1_funct_2(F, k2_zfmisc_1(B, B), B)) & m2_relset_1(F, k2_zfmisc_1(B, B), B)) => (((E = k1_realset1(C, B)) & (F = k1_realset1(D, B))) => ((r4_binop_1(A, C, D) => r4_binop_1(B, E, F)) & (r5_binop_1(A, C, D) => r5_binop_1(B, E, F)))))) <=> ((v1_funct_1(E) & v1_funct_2(E, k2_zfmisc_1(B, B), B) & m2_relset_1(E, k2_zfmisc_1(B, B), B)) => ((~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (((~r4_binop_1(A, C, D)) | r4_binop_1(B, E, k1_realset1(D, B))) & ((~r5_binop_1(A, C, D)) | r5_binop_1(B, E, k1_realset1(D, B)))) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~(E = k1_realset1(C, B))))))), rewrite(((v1_funct_1(E) & v1_funct_2(E, k2_zfmisc_1(B, B), B) & m2_relset_1(E, k2_zfmisc_1(B, B), B)) => ((~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (((~r4_binop_1(A, C, D)) | r4_binop_1(B, E, k1_realset1(D, B))) & ((~r5_binop_1(A, C, D)) | r5_binop_1(B, E, k1_realset1(D, B)))) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~(E = k1_realset1(C, B))))) <=> ((~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~(v1_funct_1(E) & v1_funct_2(E, k2_zfmisc_1(B, B), B) & m2_relset_1(E, k2_zfmisc_1(B, B), B))) | (((~r4_binop_1(A, C, D)) | r4_binop_1(B, E, k1_realset1(D, B))) & ((~r5_binop_1(A, C, D)) | r5_binop_1(B, E, k1_realset1(D, B)))) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~(E = k1_realset1(C, B))))), ((((v1_funct_1(E) & v1_funct_2(E, k2_zfmisc_1(B, B), B)) & m2_relset_1(E, k2_zfmisc_1(B, B), B)) => ![F: $i] : (((v1_funct_1(F) & v1_funct_2(F, k2_zfmisc_1(B, B), B)) & m2_relset_1(F, k2_zfmisc_1(B, B), B)) => (((E = k1_realset1(C, B)) & (F = k1_realset1(D, B))) => ((r4_binop_1(A, C, D) => r4_binop_1(B, E, F)) & (r5_binop_1(A, C, D) => r5_binop_1(B, E, F)))))) <=> ((~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~(v1_funct_1(E) & v1_funct_2(E, k2_zfmisc_1(B, B), B) & m2_relset_1(E, k2_zfmisc_1(B, B), B))) | (((~r4_binop_1(A, C, D)) | r4_binop_1(B, E, k1_realset1(D, B))) & ((~r5_binop_1(A, C, D)) | r5_binop_1(B, E, k1_realset1(D, B)))) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~(E = k1_realset1(C, B))))))), (![E: $i] : (((v1_funct_1(E) & v1_funct_2(E, k2_zfmisc_1(B, B), B)) & m2_relset_1(E, k2_zfmisc_1(B, B), B)) => ![F: $i] : (((v1_funct_1(F) & v1_funct_2(F, k2_zfmisc_1(B, B), B)) & m2_relset_1(F, k2_zfmisc_1(B, B), B)) => (((E = k1_realset1(C, B)) & (F = k1_realset1(D, B))) => ((r4_binop_1(A, C, D) => r4_binop_1(B, E, F)) & (r5_binop_1(A, C, D) => r5_binop_1(B, E, F)))))) <=> ![E: $i] : ((~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~(v1_funct_1(E) & v1_funct_2(E, k2_zfmisc_1(B, B), B) & m2_relset_1(E, k2_zfmisc_1(B, B), B))) | (((~r4_binop_1(A, C, D)) | r4_binop_1(B, E, k1_realset1(D, B))) & ((~r5_binop_1(A, C, D)) | r5_binop_1(B, E, k1_realset1(D, B)))) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~(E = k1_realset1(C, B)))))), trans(trans(der(![E: $i] : ((~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~(v1_funct_1(E) & v1_funct_2(E, k2_zfmisc_1(B, B), B) & m2_relset_1(E, k2_zfmisc_1(B, B), B))) | (((~r4_binop_1(A, C, D)) | r4_binop_1(B, E, k1_realset1(D, B))) & ((~r5_binop_1(A, C, D)) | r5_binop_1(B, E, k1_realset1(D, B)))) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~(E = k1_realset1(C, B)))) <=> ![E: $i] : ((~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (((~r4_binop_1(A, C, D)) | r4_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))) & ((~r5_binop_1(A, C, D)) | r5_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)))) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B)))), elim_unused(![E: $i] : ((~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (((~r4_binop_1(A, C, D)) | r4_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))) & ((~r5_binop_1(A, C, D)) | r5_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)))) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B))) <=> ((~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (((~r4_binop_1(A, C, D)) | r4_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))) & ((~r5_binop_1(A, C, D)) | r5_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)))) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B)))), (![E: $i] : ((~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~(v1_funct_1(E) & v1_funct_2(E, k2_zfmisc_1(B, B), B) & m2_relset_1(E, k2_zfmisc_1(B, B), B))) | (((~r4_binop_1(A, C, D)) | r4_binop_1(B, E, k1_realset1(D, B))) & ((~r5_binop_1(A, C, D)) | r5_binop_1(B, E, k1_realset1(D, B)))) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~(E = k1_realset1(C, B)))) <=> ((~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (((~r4_binop_1(A, C, D)) | r4_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))) & ((~r5_binop_1(A, C, D)) | r5_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)))) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B))))), rewrite(((~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (((~r4_binop_1(A, C, D)) | r4_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))) & ((~r5_binop_1(A, C, D)) | r5_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)))) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B))) <=> ((~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (((~r4_binop_1(A, C, D)) | r4_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))) & ((~r5_binop_1(A, C, D)) | r5_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)))))), (![E: $i] : ((~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~(v1_funct_1(E) & v1_funct_2(E, k2_zfmisc_1(B, B), B) & m2_relset_1(E, k2_zfmisc_1(B, B), B))) | (((~r4_binop_1(A, C, D)) | r4_binop_1(B, E, k1_realset1(D, B))) & ((~r5_binop_1(A, C, D)) | r5_binop_1(B, E, k1_realset1(D, B)))) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~(E = k1_realset1(C, B)))) <=> ((~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (((~r4_binop_1(A, C, D)) | r4_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))) & ((~r5_binop_1(A, C, D)) | r5_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))))))), (![E: $i] : (((v1_funct_1(E) & v1_funct_2(E, k2_zfmisc_1(B, B), B)) & m2_relset_1(E, k2_zfmisc_1(B, B), B)) => ![F: $i] : (((v1_funct_1(F) & v1_funct_2(F, k2_zfmisc_1(B, B), B)) & m2_relset_1(F, k2_zfmisc_1(B, B), B)) => (((E = k1_realset1(C, B)) & (F = k1_realset1(D, B))) => ((r4_binop_1(A, C, D) => r4_binop_1(B, E, F)) & (r5_binop_1(A, C, D) => r5_binop_1(B, E, F)))))) <=> ((~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (((~r4_binop_1(A, C, D)) | r4_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))) & ((~r5_binop_1(A, C, D)) | r5_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))))))), ((((v1_funct_1(D) & v1_funct_2(D, k2_zfmisc_1(A, A), A)) & m2_relset_1(D, k2_zfmisc_1(A, A), A)) => ![E: $i] : (((v1_funct_1(E) & v1_funct_2(E, k2_zfmisc_1(B, B), B)) & m2_relset_1(E, k2_zfmisc_1(B, B), B)) => ![F: $i] : (((v1_funct_1(F) & v1_funct_2(F, k2_zfmisc_1(B, B), B)) & m2_relset_1(F, k2_zfmisc_1(B, B), B)) => (((E = k1_realset1(C, B)) & (F = k1_realset1(D, B))) => ((r4_binop_1(A, C, D) => r4_binop_1(B, E, F)) & (r5_binop_1(A, C, D) => r5_binop_1(B, E, F))))))) <=> ((v1_funct_1(D) & v1_funct_2(D, k2_zfmisc_1(A, A), A) & m2_relset_1(D, k2_zfmisc_1(A, A), A)) => ((~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (((~r4_binop_1(A, C, D)) | r4_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))) & ((~r5_binop_1(A, C, D)) | r5_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)))))))), rewrite(((v1_funct_1(D) & v1_funct_2(D, k2_zfmisc_1(A, A), A) & m2_relset_1(D, k2_zfmisc_1(A, A), A)) => ((~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (((~r4_binop_1(A, C, D)) | r4_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))) & ((~r5_binop_1(A, C, D)) | r5_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)))))) <=> ((~(v1_funct_1(D) & v1_funct_2(D, k2_zfmisc_1(A, A), A) & m2_relset_1(D, k2_zfmisc_1(A, A), A))) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (((~r4_binop_1(A, C, D)) | r4_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))) & ((~r5_binop_1(A, C, D)) | r5_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)))))), ((((v1_funct_1(D) & v1_funct_2(D, k2_zfmisc_1(A, A), A)) & m2_relset_1(D, k2_zfmisc_1(A, A), A)) => ![E: $i] : (((v1_funct_1(E) & v1_funct_2(E, k2_zfmisc_1(B, B), B)) & m2_relset_1(E, k2_zfmisc_1(B, B), B)) => ![F: $i] : (((v1_funct_1(F) & v1_funct_2(F, k2_zfmisc_1(B, B), B)) & m2_relset_1(F, k2_zfmisc_1(B, B), B)) => (((E = k1_realset1(C, B)) & (F = k1_realset1(D, B))) => ((r4_binop_1(A, C, D) => r4_binop_1(B, E, F)) & (r5_binop_1(A, C, D) => r5_binop_1(B, E, F))))))) <=> ((~(v1_funct_1(D) & v1_funct_2(D, k2_zfmisc_1(A, A), A) & m2_relset_1(D, k2_zfmisc_1(A, A), A))) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (((~r4_binop_1(A, C, D)) | r4_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))) & ((~r5_binop_1(A, C, D)) | r5_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)))))))), (![D: $i] : (((v1_funct_1(D) & v1_funct_2(D, k2_zfmisc_1(A, A), A)) & m2_relset_1(D, k2_zfmisc_1(A, A), A)) => ![E: $i] : (((v1_funct_1(E) & v1_funct_2(E, k2_zfmisc_1(B, B), B)) & m2_relset_1(E, k2_zfmisc_1(B, B), B)) => ![F: $i] : (((v1_funct_1(F) & v1_funct_2(F, k2_zfmisc_1(B, B), B)) & m2_relset_1(F, k2_zfmisc_1(B, B), B)) => (((E = k1_realset1(C, B)) & (F = k1_realset1(D, B))) => ((r4_binop_1(A, C, D) => r4_binop_1(B, E, F)) & (r5_binop_1(A, C, D) => r5_binop_1(B, E, F))))))) <=> ![D: $i] : ((~(v1_funct_1(D) & v1_funct_2(D, k2_zfmisc_1(A, A), A) & m2_relset_1(D, k2_zfmisc_1(A, A), A))) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (((~r4_binop_1(A, C, D)) | r4_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))) & ((~r5_binop_1(A, C, D)) | r5_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))))))), ((((v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A)) & m2_relset_1(C, k2_zfmisc_1(A, A), A)) => ![D: $i] : (((v1_funct_1(D) & v1_funct_2(D, k2_zfmisc_1(A, A), A)) & m2_relset_1(D, k2_zfmisc_1(A, A), A)) => ![E: $i] : (((v1_funct_1(E) & v1_funct_2(E, k2_zfmisc_1(B, B), B)) & m2_relset_1(E, k2_zfmisc_1(B, B), B)) => ![F: $i] : (((v1_funct_1(F) & v1_funct_2(F, k2_zfmisc_1(B, B), B)) & m2_relset_1(F, k2_zfmisc_1(B, B), B)) => (((E = k1_realset1(C, B)) & (F = k1_realset1(D, B))) => ((r4_binop_1(A, C, D) => r4_binop_1(B, E, F)) & (r5_binop_1(A, C, D) => r5_binop_1(B, E, F)))))))) <=> ((v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A) & m2_relset_1(C, k2_zfmisc_1(A, A), A)) => ![D: $i] : ((~(v1_funct_1(D) & v1_funct_2(D, k2_zfmisc_1(A, A), A) & m2_relset_1(D, k2_zfmisc_1(A, A), A))) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (((~r4_binop_1(A, C, D)) | r4_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))) & ((~r5_binop_1(A, C, D)) | r5_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)))))))), rewrite(((v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A) & m2_relset_1(C, k2_zfmisc_1(A, A), A)) => ![D: $i] : ((~(v1_funct_1(D) & v1_funct_2(D, k2_zfmisc_1(A, A), A) & m2_relset_1(D, k2_zfmisc_1(A, A), A))) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (((~r4_binop_1(A, C, D)) | r4_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))) & ((~r5_binop_1(A, C, D)) | r5_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)))))) <=> ((~(v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A) & m2_relset_1(C, k2_zfmisc_1(A, A), A))) | ![D: $i] : ((~(v1_funct_1(D) & v1_funct_2(D, k2_zfmisc_1(A, A), A) & m2_relset_1(D, k2_zfmisc_1(A, A), A))) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (((~r4_binop_1(A, C, D)) | r4_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))) & ((~r5_binop_1(A, C, D)) | r5_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))))))), ((((v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A)) & m2_relset_1(C, k2_zfmisc_1(A, A), A)) => ![D: $i] : (((v1_funct_1(D) & v1_funct_2(D, k2_zfmisc_1(A, A), A)) & m2_relset_1(D, k2_zfmisc_1(A, A), A)) => ![E: $i] : (((v1_funct_1(E) & v1_funct_2(E, k2_zfmisc_1(B, B), B)) & m2_relset_1(E, k2_zfmisc_1(B, B), B)) => ![F: $i] : (((v1_funct_1(F) & v1_funct_2(F, k2_zfmisc_1(B, B), B)) & m2_relset_1(F, k2_zfmisc_1(B, B), B)) => (((E = k1_realset1(C, B)) & (F = k1_realset1(D, B))) => ((r4_binop_1(A, C, D) => r4_binop_1(B, E, F)) & (r5_binop_1(A, C, D) => r5_binop_1(B, E, F)))))))) <=> ((~(v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A) & m2_relset_1(C, k2_zfmisc_1(A, A), A))) | ![D: $i] : ((~(v1_funct_1(D) & v1_funct_2(D, k2_zfmisc_1(A, A), A) & m2_relset_1(D, k2_zfmisc_1(A, A), A))) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (((~r4_binop_1(A, C, D)) | r4_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))) & ((~r5_binop_1(A, C, D)) | r5_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))))))))), (![C: $i] : (((v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A)) & m2_relset_1(C, k2_zfmisc_1(A, A), A)) => ![D: $i] : (((v1_funct_1(D) & v1_funct_2(D, k2_zfmisc_1(A, A), A)) & m2_relset_1(D, k2_zfmisc_1(A, A), A)) => ![E: $i] : (((v1_funct_1(E) & v1_funct_2(E, k2_zfmisc_1(B, B), B)) & m2_relset_1(E, k2_zfmisc_1(B, B), B)) => ![F: $i] : (((v1_funct_1(F) & v1_funct_2(F, k2_zfmisc_1(B, B), B)) & m2_relset_1(F, k2_zfmisc_1(B, B), B)) => (((E = k1_realset1(C, B)) & (F = k1_realset1(D, B))) => ((r4_binop_1(A, C, D) => r4_binop_1(B, E, F)) & (r5_binop_1(A, C, D) => r5_binop_1(B, E, F)))))))) <=> ![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A) & m2_relset_1(C, k2_zfmisc_1(A, A), A))) | ![D: $i] : ((~(v1_funct_1(D) & v1_funct_2(D, k2_zfmisc_1(A, A), A) & m2_relset_1(D, k2_zfmisc_1(A, A), A))) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (((~r4_binop_1(A, C, D)) | r4_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))) & ((~r5_binop_1(A, C, D)) | r5_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)))))))), ((((~v1_xboole_0(B)) & m1_subset_1(B, k1_zfmisc_1(A))) => ![C: $i] : (((v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A)) & m2_relset_1(C, k2_zfmisc_1(A, A), A)) => ![D: $i] : (((v1_funct_1(D) & v1_funct_2(D, k2_zfmisc_1(A, A), A)) & m2_relset_1(D, k2_zfmisc_1(A, A), A)) => ![E: $i] : (((v1_funct_1(E) & v1_funct_2(E, k2_zfmisc_1(B, B), B)) & m2_relset_1(E, k2_zfmisc_1(B, B), B)) => ![F: $i] : (((v1_funct_1(F) & v1_funct_2(F, k2_zfmisc_1(B, B), B)) & m2_relset_1(F, k2_zfmisc_1(B, B), B)) => (((E = k1_realset1(C, B)) & (F = k1_realset1(D, B))) => ((r4_binop_1(A, C, D) => r4_binop_1(B, E, F)) & (r5_binop_1(A, C, D) => r5_binop_1(B, E, F))))))))) <=> (((~v1_xboole_0(B)) & m1_subset_1(B, k1_zfmisc_1(A))) => ![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A) & m2_relset_1(C, k2_zfmisc_1(A, A), A))) | ![D: $i] : ((~(v1_funct_1(D) & v1_funct_2(D, k2_zfmisc_1(A, A), A) & m2_relset_1(D, k2_zfmisc_1(A, A), A))) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (((~r4_binop_1(A, C, D)) | r4_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))) & ((~r5_binop_1(A, C, D)) | r5_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))))))))), rewrite((((~v1_xboole_0(B)) & m1_subset_1(B, k1_zfmisc_1(A))) => ![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A) & m2_relset_1(C, k2_zfmisc_1(A, A), A))) | ![D: $i] : ((~(v1_funct_1(D) & v1_funct_2(D, k2_zfmisc_1(A, A), A) & m2_relset_1(D, k2_zfmisc_1(A, A), A))) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (((~r4_binop_1(A, C, D)) | r4_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))) & ((~r5_binop_1(A, C, D)) | r5_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))))))) <=> ((~((~v1_xboole_0(B)) & m1_subset_1(B, k1_zfmisc_1(A)))) | ![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A) & m2_relset_1(C, k2_zfmisc_1(A, A), A))) | ![D: $i] : ((~(v1_funct_1(D) & v1_funct_2(D, k2_zfmisc_1(A, A), A) & m2_relset_1(D, k2_zfmisc_1(A, A), A))) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (((~r4_binop_1(A, C, D)) | r4_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))) & ((~r5_binop_1(A, C, D)) | r5_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)))))))), ((((~v1_xboole_0(B)) & m1_subset_1(B, k1_zfmisc_1(A))) => ![C: $i] : (((v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A)) & m2_relset_1(C, k2_zfmisc_1(A, A), A)) => ![D: $i] : (((v1_funct_1(D) & v1_funct_2(D, k2_zfmisc_1(A, A), A)) & m2_relset_1(D, k2_zfmisc_1(A, A), A)) => ![E: $i] : (((v1_funct_1(E) & v1_funct_2(E, k2_zfmisc_1(B, B), B)) & m2_relset_1(E, k2_zfmisc_1(B, B), B)) => ![F: $i] : (((v1_funct_1(F) & v1_funct_2(F, k2_zfmisc_1(B, B), B)) & m2_relset_1(F, k2_zfmisc_1(B, B), B)) => (((E = k1_realset1(C, B)) & (F = k1_realset1(D, B))) => ((r4_binop_1(A, C, D) => r4_binop_1(B, E, F)) & (r5_binop_1(A, C, D) => r5_binop_1(B, E, F))))))))) <=> ((~((~v1_xboole_0(B)) & m1_subset_1(B, k1_zfmisc_1(A)))) | ![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A) & m2_relset_1(C, k2_zfmisc_1(A, A), A))) | ![D: $i] : ((~(v1_funct_1(D) & v1_funct_2(D, k2_zfmisc_1(A, A), A) & m2_relset_1(D, k2_zfmisc_1(A, A), A))) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (((~r4_binop_1(A, C, D)) | r4_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))) & ((~r5_binop_1(A, C, D)) | r5_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)))))))))), (![B: $i] : (((~v1_xboole_0(B)) & m1_subset_1(B, k1_zfmisc_1(A))) => ![C: $i] : (((v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A)) & m2_relset_1(C, k2_zfmisc_1(A, A), A)) => ![D: $i] : (((v1_funct_1(D) & v1_funct_2(D, k2_zfmisc_1(A, A), A)) & m2_relset_1(D, k2_zfmisc_1(A, A), A)) => ![E: $i] : (((v1_funct_1(E) & v1_funct_2(E, k2_zfmisc_1(B, B), B)) & m2_relset_1(E, k2_zfmisc_1(B, B), B)) => ![F: $i] : (((v1_funct_1(F) & v1_funct_2(F, k2_zfmisc_1(B, B), B)) & m2_relset_1(F, k2_zfmisc_1(B, B), B)) => (((E = k1_realset1(C, B)) & (F = k1_realset1(D, B))) => ((r4_binop_1(A, C, D) => r4_binop_1(B, E, F)) & (r5_binop_1(A, C, D) => r5_binop_1(B, E, F))))))))) <=> ![B: $i] : ((~((~v1_xboole_0(B)) & m1_subset_1(B, k1_zfmisc_1(A)))) | ![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A) & m2_relset_1(C, k2_zfmisc_1(A, A), A))) | ![D: $i] : ((~(v1_funct_1(D) & v1_funct_2(D, k2_zfmisc_1(A, A), A) & m2_relset_1(D, k2_zfmisc_1(A, A), A))) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (((~r4_binop_1(A, C, D)) | r4_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))) & ((~r5_binop_1(A, C, D)) | r5_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))))))))), (((~v1_xboole_0(A)) => ![B: $i] : (((~v1_xboole_0(B)) & m1_subset_1(B, k1_zfmisc_1(A))) => ![C: $i] : (((v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A)) & m2_relset_1(C, k2_zfmisc_1(A, A), A)) => ![D: $i] : (((v1_funct_1(D) & v1_funct_2(D, k2_zfmisc_1(A, A), A)) & m2_relset_1(D, k2_zfmisc_1(A, A), A)) => ![E: $i] : (((v1_funct_1(E) & v1_funct_2(E, k2_zfmisc_1(B, B), B)) & m2_relset_1(E, k2_zfmisc_1(B, B), B)) => ![F: $i] : (((v1_funct_1(F) & v1_funct_2(F, k2_zfmisc_1(B, B), B)) & m2_relset_1(F, k2_zfmisc_1(B, B), B)) => (((E = k1_realset1(C, B)) & (F = k1_realset1(D, B))) => ((r4_binop_1(A, C, D) => r4_binop_1(B, E, F)) & (r5_binop_1(A, C, D) => r5_binop_1(B, E, F)))))))))) <=> ((~v1_xboole_0(A)) => ![B: $i] : ((~((~v1_xboole_0(B)) & m1_subset_1(B, k1_zfmisc_1(A)))) | ![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A) & m2_relset_1(C, k2_zfmisc_1(A, A), A))) | ![D: $i] : ((~(v1_funct_1(D) & v1_funct_2(D, k2_zfmisc_1(A, A), A) & m2_relset_1(D, k2_zfmisc_1(A, A), A))) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (((~r4_binop_1(A, C, D)) | r4_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))) & ((~r5_binop_1(A, C, D)) | r5_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)))))))))), rewrite(((~v1_xboole_0(A)) => ![B: $i] : ((~((~v1_xboole_0(B)) & m1_subset_1(B, k1_zfmisc_1(A)))) | ![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A) & m2_relset_1(C, k2_zfmisc_1(A, A), A))) | ![D: $i] : ((~(v1_funct_1(D) & v1_funct_2(D, k2_zfmisc_1(A, A), A) & m2_relset_1(D, k2_zfmisc_1(A, A), A))) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (((~r4_binop_1(A, C, D)) | r4_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))) & ((~r5_binop_1(A, C, D)) | r5_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)))))))) <=> (v1_xboole_0(A) | ![B: $i] : ((~((~v1_xboole_0(B)) & m1_subset_1(B, k1_zfmisc_1(A)))) | ![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A) & m2_relset_1(C, k2_zfmisc_1(A, A), A))) | ![D: $i] : ((~(v1_funct_1(D) & v1_funct_2(D, k2_zfmisc_1(A, A), A) & m2_relset_1(D, k2_zfmisc_1(A, A), A))) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (((~r4_binop_1(A, C, D)) | r4_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))) & ((~r5_binop_1(A, C, D)) | r5_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))))))))), (((~v1_xboole_0(A)) => ![B: $i] : (((~v1_xboole_0(B)) & m1_subset_1(B, k1_zfmisc_1(A))) => ![C: $i] : (((v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A)) & m2_relset_1(C, k2_zfmisc_1(A, A), A)) => ![D: $i] : (((v1_funct_1(D) & v1_funct_2(D, k2_zfmisc_1(A, A), A)) & m2_relset_1(D, k2_zfmisc_1(A, A), A)) => ![E: $i] : (((v1_funct_1(E) & v1_funct_2(E, k2_zfmisc_1(B, B), B)) & m2_relset_1(E, k2_zfmisc_1(B, B), B)) => ![F: $i] : (((v1_funct_1(F) & v1_funct_2(F, k2_zfmisc_1(B, B), B)) & m2_relset_1(F, k2_zfmisc_1(B, B), B)) => (((E = k1_realset1(C, B)) & (F = k1_realset1(D, B))) => ((r4_binop_1(A, C, D) => r4_binop_1(B, E, F)) & (r5_binop_1(A, C, D) => r5_binop_1(B, E, F)))))))))) <=> (v1_xboole_0(A) | ![B: $i] : ((~((~v1_xboole_0(B)) & m1_subset_1(B, k1_zfmisc_1(A)))) | ![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A) & m2_relset_1(C, k2_zfmisc_1(A, A), A))) | ![D: $i] : ((~(v1_funct_1(D) & v1_funct_2(D, k2_zfmisc_1(A, A), A) & m2_relset_1(D, k2_zfmisc_1(A, A), A))) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (((~r4_binop_1(A, C, D)) | r4_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))) & ((~r5_binop_1(A, C, D)) | r5_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))))))))))),
% 0.47/0.63      inference(bind,[status(th)],[])).
% 0.47/0.63  tff(72,plain,
% 0.47/0.63      (![A: $i] : ((~v1_xboole_0(A)) => ![B: $i] : (((~v1_xboole_0(B)) & m1_subset_1(B, k1_zfmisc_1(A))) => ![C: $i] : (((v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A)) & m2_relset_1(C, k2_zfmisc_1(A, A), A)) => ![D: $i] : (((v1_funct_1(D) & v1_funct_2(D, k2_zfmisc_1(A, A), A)) & m2_relset_1(D, k2_zfmisc_1(A, A), A)) => ![E: $i] : (((v1_funct_1(E) & v1_funct_2(E, k2_zfmisc_1(B, B), B)) & m2_relset_1(E, k2_zfmisc_1(B, B), B)) => ![F: $i] : (((v1_funct_1(F) & v1_funct_2(F, k2_zfmisc_1(B, B), B)) & m2_relset_1(F, k2_zfmisc_1(B, B), B)) => (((E = k1_realset1(C, B)) & (F = k1_realset1(D, B))) => ((r4_binop_1(A, C, D) => r4_binop_1(B, E, F)) & (r5_binop_1(A, C, D) => r5_binop_1(B, E, F)))))))))) <=> ![A: $i] : (v1_xboole_0(A) | ![B: $i] : ((~((~v1_xboole_0(B)) & m1_subset_1(B, k1_zfmisc_1(A)))) | ![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A) & m2_relset_1(C, k2_zfmisc_1(A, A), A))) | ![D: $i] : ((~(v1_funct_1(D) & v1_funct_2(D, k2_zfmisc_1(A, A), A) & m2_relset_1(D, k2_zfmisc_1(A, A), A))) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (((~r4_binop_1(A, C, D)) | r4_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))) & ((~r5_binop_1(A, C, D)) | r5_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))))))))),
% 0.47/0.63      inference(quant_intro,[status(thm)],[71])).
% 0.47/0.63  tff(73,axiom,(![A: $i] : ((~v1_xboole_0(A)) => ![B: $i] : (((~v1_xboole_0(B)) & m1_subset_1(B, k1_zfmisc_1(A))) => ![C: $i] : (((v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A)) & m2_relset_1(C, k2_zfmisc_1(A, A), A)) => ![D: $i] : (((v1_funct_1(D) & v1_funct_2(D, k2_zfmisc_1(A, A), A)) & m2_relset_1(D, k2_zfmisc_1(A, A), A)) => ![E: $i] : (((v1_funct_1(E) & v1_funct_2(E, k2_zfmisc_1(B, B), B)) & m2_relset_1(E, k2_zfmisc_1(B, B), B)) => ![F: $i] : (((v1_funct_1(F) & v1_funct_2(F, k2_zfmisc_1(B, B), B)) & m2_relset_1(F, k2_zfmisc_1(B, B), B)) => (((E = k1_realset1(C, B)) & (F = k1_realset1(D, B))) => ((r4_binop_1(A, C, D) => r4_binop_1(B, E, F)) & (r5_binop_1(A, C, D) => r5_binop_1(B, E, F))))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','t3_filter_2')).
% 0.47/0.63  tff(74,plain,
% 0.47/0.63      (![A: $i] : (v1_xboole_0(A) | ![B: $i] : ((~((~v1_xboole_0(B)) & m1_subset_1(B, k1_zfmisc_1(A)))) | ![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A) & m2_relset_1(C, k2_zfmisc_1(A, A), A))) | ![D: $i] : ((~(v1_funct_1(D) & v1_funct_2(D, k2_zfmisc_1(A, A), A) & m2_relset_1(D, k2_zfmisc_1(A, A), A))) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (((~r4_binop_1(A, C, D)) | r4_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))) & ((~r5_binop_1(A, C, D)) | r5_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))))))))),
% 0.47/0.63      inference(modus_ponens,[status(thm)],[73, 72])).
% 0.47/0.63  tff(75,plain,
% 0.47/0.63      (![A: $i] : (v1_xboole_0(A) | ![B: $i] : ((~((~v1_xboole_0(B)) & m1_subset_1(B, k1_zfmisc_1(A)))) | ![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A) & m2_relset_1(C, k2_zfmisc_1(A, A), A))) | ![D: $i] : ((~(v1_funct_1(D) & v1_funct_2(D, k2_zfmisc_1(A, A), A) & m2_relset_1(D, k2_zfmisc_1(A, A), A))) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (((~r4_binop_1(A, C, D)) | r4_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))) & ((~r5_binop_1(A, C, D)) | r5_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))))))))),
% 0.47/0.63      inference(modus_ponens,[status(thm)],[74, 70])).
% 0.47/0.63  tff(76,plain,(
% 0.47/0.63      ![A: $i] : (v1_xboole_0(A) | ![B: $i] : ((~((~v1_xboole_0(B)) & m1_subset_1(B, k1_zfmisc_1(A)))) | ![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, k2_zfmisc_1(A, A), A) & m2_relset_1(C, k2_zfmisc_1(A, A), A))) | ![D: $i] : ((~(v1_funct_1(D) & v1_funct_2(D, k2_zfmisc_1(A, A), A) & m2_relset_1(D, k2_zfmisc_1(A, A), A))) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (((~r4_binop_1(A, C, D)) | r4_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))) & ((~r5_binop_1(A, C, D)) | r5_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))))))))),
% 0.47/0.63      inference(skolemize,[status(sab)],[75])).
% 0.47/0.63  tff(77,plain,
% 0.47/0.63      (![A: $i] : (v1_xboole_0(A) | ![B: $i] : (v1_xboole_0(B) | (~m1_subset_1(B, k1_zfmisc_1(A))) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(C, k2_zfmisc_1(A, A), A)) | ![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_2(D, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(D, k2_zfmisc_1(A, A), A)) | (~((~((~r4_binop_1(A, C, D)) | r4_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)))) | (~((~r5_binop_1(A, C, D)) | r5_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))))))))))),
% 0.47/0.63      inference(modus_ponens,[status(thm)],[76, 69])).
% 0.47/0.63  tff(78,plain,
% 0.47/0.63      (![A: $i] : (v1_xboole_0(A) | ![B: $i] : (v1_xboole_0(B) | (~m1_subset_1(B, k1_zfmisc_1(A))) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(C, k2_zfmisc_1(A, A), A)) | ![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_2(D, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(D, k2_zfmisc_1(A, A), A)) | (~((~((~r4_binop_1(A, C, D)) | r4_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)))) | (~((~r5_binop_1(A, C, D)) | r5_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))))))))))),
% 0.47/0.63      inference(modus_ponens,[status(thm)],[77, 67])).
% 0.47/0.63  tff(79,plain,
% 0.47/0.63      (~v1_xboole_0(A!0)),
% 0.47/0.63      inference(and_elim,[status(thm)],[34])).
% 0.47/0.63  tff(80,plain,
% 0.47/0.63      (((~![A: $i] : (v1_xboole_0(A) | ![B: $i] : (v1_xboole_0(B) | (~m1_subset_1(B, k1_zfmisc_1(A))) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(C, k2_zfmisc_1(A, A), A)) | ![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_2(D, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(D, k2_zfmisc_1(A, A), A)) | (~((~((~r4_binop_1(A, C, D)) | r4_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)))) | (~((~r5_binop_1(A, C, D)) | r5_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))))))))))) | (v1_xboole_0(A!0) | ![B: $i] : (v1_xboole_0(B) | (~m1_subset_1(B, k1_zfmisc_1(A!0))) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(C, k2_zfmisc_1(A!0, A!0), A!0)) | ![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_2(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~((~((~r4_binop_1(A!0, C, D)) | r4_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)))) | (~((~r5_binop_1(A!0, C, D)) | r5_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))))))))))) <=> ((~![A: $i] : (v1_xboole_0(A) | ![B: $i] : (v1_xboole_0(B) | (~m1_subset_1(B, k1_zfmisc_1(A))) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(C, k2_zfmisc_1(A, A), A)) | ![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_2(D, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(D, k2_zfmisc_1(A, A), A)) | (~((~((~r4_binop_1(A, C, D)) | r4_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)))) | (~((~r5_binop_1(A, C, D)) | r5_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))))))))))) | v1_xboole_0(A!0) | ![B: $i] : (v1_xboole_0(B) | (~m1_subset_1(B, k1_zfmisc_1(A!0))) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(C, k2_zfmisc_1(A!0, A!0), A!0)) | ![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_2(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~((~((~r4_binop_1(A!0, C, D)) | r4_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)))) | (~((~r5_binop_1(A!0, C, D)) | r5_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))))))))))),
% 0.47/0.63      inference(rewrite,[status(thm)],[])).
% 0.47/0.63  tff(81,plain,
% 0.47/0.63      ((~![A: $i] : (v1_xboole_0(A) | ![B: $i] : (v1_xboole_0(B) | (~m1_subset_1(B, k1_zfmisc_1(A))) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(C, k2_zfmisc_1(A, A), A)) | ![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_2(D, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(D, k2_zfmisc_1(A, A), A)) | (~((~((~r4_binop_1(A, C, D)) | r4_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)))) | (~((~r5_binop_1(A, C, D)) | r5_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))))))))))) | (v1_xboole_0(A!0) | ![B: $i] : (v1_xboole_0(B) | (~m1_subset_1(B, k1_zfmisc_1(A!0))) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(C, k2_zfmisc_1(A!0, A!0), A!0)) | ![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_2(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~((~((~r4_binop_1(A!0, C, D)) | r4_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)))) | (~((~r5_binop_1(A!0, C, D)) | r5_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))))))))))),
% 0.47/0.63      inference(quant_inst,[status(thm)],[])).
% 0.47/0.63  tff(82,plain,
% 0.47/0.63      ((~![A: $i] : (v1_xboole_0(A) | ![B: $i] : (v1_xboole_0(B) | (~m1_subset_1(B, k1_zfmisc_1(A))) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(C, k2_zfmisc_1(A, A), A)) | ![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_2(D, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(D, k2_zfmisc_1(A, A), A)) | (~((~((~r4_binop_1(A, C, D)) | r4_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)))) | (~((~r5_binop_1(A, C, D)) | r5_binop_1(B, k1_realset1(C, B), k1_realset1(D, B))))))))))) | v1_xboole_0(A!0) | ![B: $i] : (v1_xboole_0(B) | (~m1_subset_1(B, k1_zfmisc_1(A!0))) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(C, k2_zfmisc_1(A!0, A!0), A!0)) | ![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_2(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~((~((~r4_binop_1(A!0, C, D)) | r4_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)))) | (~((~r5_binop_1(A!0, C, D)) | r5_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)))))))))),
% 0.47/0.63      inference(modus_ponens,[status(thm)],[81, 80])).
% 0.47/0.63  tff(83,plain,
% 0.47/0.63      (![B: $i] : (v1_xboole_0(B) | (~m1_subset_1(B, k1_zfmisc_1(A!0))) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(C, k2_zfmisc_1(A!0, A!0), A!0)) | ![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_2(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~((~((~r4_binop_1(A!0, C, D)) | r4_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)))) | (~((~r5_binop_1(A!0, C, D)) | r5_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)))))))))),
% 0.47/0.64      inference(unit_resolution,[status(thm)],[82, 79, 78])).
% 0.47/0.64  tff(84,plain,
% 0.47/0.64      (m1_subset_1(B!1, k1_zfmisc_1(A!0))),
% 0.47/0.64      inference(and_elim,[status(thm)],[34])).
% 0.47/0.64  tff(85,plain,
% 0.47/0.64      (~v1_xboole_0(B!1)),
% 0.47/0.64      inference(and_elim,[status(thm)],[34])).
% 0.47/0.64  tff(86,plain,
% 0.47/0.64      (((~![B: $i] : (v1_xboole_0(B) | (~m1_subset_1(B, k1_zfmisc_1(A!0))) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(C, k2_zfmisc_1(A!0, A!0), A!0)) | ![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_2(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~((~((~r4_binop_1(A!0, C, D)) | r4_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)))) | (~((~r5_binop_1(A!0, C, D)) | r5_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)))))))))) | (v1_xboole_0(B!1) | (~m1_subset_1(B!1, k1_zfmisc_1(A!0))) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(C, k2_zfmisc_1(A!0, A!0), A!0)) | ![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(C, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(D, B!1))) | (~v1_funct_2(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C, B!1))) | (~v1_funct_2(k1_realset1(C, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_2(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~((~((~r4_binop_1(A!0, C, D)) | r4_binop_1(B!1, k1_realset1(C, B!1), k1_realset1(D, B!1)))) | (~((~r5_binop_1(A!0, C, D)) | r5_binop_1(B!1, k1_realset1(C, B!1), k1_realset1(D, B!1)))))))))) <=> ((~![B: $i] : (v1_xboole_0(B) | (~m1_subset_1(B, k1_zfmisc_1(A!0))) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(C, k2_zfmisc_1(A!0, A!0), A!0)) | ![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_2(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~((~((~r4_binop_1(A!0, C, D)) | r4_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)))) | (~((~r5_binop_1(A!0, C, D)) | r5_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)))))))))) | v1_xboole_0(B!1) | (~m1_subset_1(B!1, k1_zfmisc_1(A!0))) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(C, k2_zfmisc_1(A!0, A!0), A!0)) | ![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(C, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(D, B!1))) | (~v1_funct_2(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C, B!1))) | (~v1_funct_2(k1_realset1(C, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_2(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~((~((~r4_binop_1(A!0, C, D)) | r4_binop_1(B!1, k1_realset1(C, B!1), k1_realset1(D, B!1)))) | (~((~r5_binop_1(A!0, C, D)) | r5_binop_1(B!1, k1_realset1(C, B!1), k1_realset1(D, B!1)))))))))),
% 0.47/0.64      inference(rewrite,[status(thm)],[])).
% 0.47/0.64  tff(87,plain,
% 0.47/0.64      ((~![B: $i] : (v1_xboole_0(B) | (~m1_subset_1(B, k1_zfmisc_1(A!0))) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(C, k2_zfmisc_1(A!0, A!0), A!0)) | ![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_2(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~((~((~r4_binop_1(A!0, C, D)) | r4_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)))) | (~((~r5_binop_1(A!0, C, D)) | r5_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)))))))))) | (v1_xboole_0(B!1) | (~m1_subset_1(B!1, k1_zfmisc_1(A!0))) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(C, k2_zfmisc_1(A!0, A!0), A!0)) | ![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(C, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(D, B!1))) | (~v1_funct_2(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C, B!1))) | (~v1_funct_2(k1_realset1(C, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_2(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~((~((~r4_binop_1(A!0, C, D)) | r4_binop_1(B!1, k1_realset1(C, B!1), k1_realset1(D, B!1)))) | (~((~r5_binop_1(A!0, C, D)) | r5_binop_1(B!1, k1_realset1(C, B!1), k1_realset1(D, B!1)))))))))),
% 0.47/0.64      inference(quant_inst,[status(thm)],[])).
% 0.47/0.64  tff(88,plain,
% 0.47/0.64      ((~![B: $i] : (v1_xboole_0(B) | (~m1_subset_1(B, k1_zfmisc_1(A!0))) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(C, k2_zfmisc_1(A!0, A!0), A!0)) | ![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~m2_relset_1(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(D, B))) | (~v1_funct_2(k1_realset1(D, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_1(k1_realset1(C, B))) | (~v1_funct_2(k1_realset1(C, B), k2_zfmisc_1(B, B), B)) | (~v1_funct_2(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~((~((~r4_binop_1(A!0, C, D)) | r4_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)))) | (~((~r5_binop_1(A!0, C, D)) | r5_binop_1(B, k1_realset1(C, B), k1_realset1(D, B)))))))))) | v1_xboole_0(B!1) | (~m1_subset_1(B!1, k1_zfmisc_1(A!0))) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(C, k2_zfmisc_1(A!0, A!0), A!0)) | ![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(C, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(D, B!1))) | (~v1_funct_2(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C, B!1))) | (~v1_funct_2(k1_realset1(C, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_2(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~((~((~r4_binop_1(A!0, C, D)) | r4_binop_1(B!1, k1_realset1(C, B!1), k1_realset1(D, B!1)))) | (~((~r5_binop_1(A!0, C, D)) | r5_binop_1(B!1, k1_realset1(C, B!1), k1_realset1(D, B!1))))))))),
% 0.47/0.64      inference(modus_ponens,[status(thm)],[87, 86])).
% 0.47/0.64  tff(89,plain,
% 0.47/0.64      (![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(C, k2_zfmisc_1(A!0, A!0), A!0)) | ![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(C, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(D, B!1))) | (~v1_funct_2(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C, B!1))) | (~v1_funct_2(k1_realset1(C, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_2(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~((~((~r4_binop_1(A!0, C, D)) | r4_binop_1(B!1, k1_realset1(C, B!1), k1_realset1(D, B!1)))) | (~((~r5_binop_1(A!0, C, D)) | r5_binop_1(B!1, k1_realset1(C, B!1), k1_realset1(D, B!1))))))))),
% 0.47/0.64      inference(unit_resolution,[status(thm)],[88, 85, 84, 83])).
% 0.47/0.64  tff(90,plain,
% 0.47/0.64      (m2_relset_1(C!2, k2_zfmisc_1(A!0, A!0), A!0)),
% 0.47/0.64      inference(and_elim,[status(thm)],[34])).
% 0.47/0.64  tff(91,plain,
% 0.47/0.64      (v1_funct_2(C!2, k2_zfmisc_1(A!0, A!0), A!0)),
% 0.47/0.64      inference(and_elim,[status(thm)],[34])).
% 0.47/0.64  tff(92,plain,
% 0.47/0.64      (v1_funct_1(C!2)),
% 0.47/0.64      inference(and_elim,[status(thm)],[34])).
% 0.47/0.64  tff(93,plain,
% 0.47/0.64      (((~![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(C, k2_zfmisc_1(A!0, A!0), A!0)) | ![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(C, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(D, B!1))) | (~v1_funct_2(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C, B!1))) | (~v1_funct_2(k1_realset1(C, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_2(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~((~((~r4_binop_1(A!0, C, D)) | r4_binop_1(B!1, k1_realset1(C, B!1), k1_realset1(D, B!1)))) | (~((~r5_binop_1(A!0, C, D)) | r5_binop_1(B!1, k1_realset1(C, B!1), k1_realset1(D, B!1))))))))) | ((~v1_funct_1(C!2)) | (~m2_relset_1(C!2, k2_zfmisc_1(A!0, A!0), A!0)) | (~v1_funct_2(C!2, k2_zfmisc_1(A!0, A!0), A!0)) | ![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(D, B!1))) | (~v1_funct_2(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_2(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~((~((~r4_binop_1(A!0, C!2, D)) | r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D, B!1)))) | (~((~r5_binop_1(A!0, C!2, D)) | r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D, B!1))))))))) <=> ((~![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(C, k2_zfmisc_1(A!0, A!0), A!0)) | ![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(C, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(D, B!1))) | (~v1_funct_2(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C, B!1))) | (~v1_funct_2(k1_realset1(C, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_2(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~((~((~r4_binop_1(A!0, C, D)) | r4_binop_1(B!1, k1_realset1(C, B!1), k1_realset1(D, B!1)))) | (~((~r5_binop_1(A!0, C, D)) | r5_binop_1(B!1, k1_realset1(C, B!1), k1_realset1(D, B!1))))))))) | (~v1_funct_1(C!2)) | (~m2_relset_1(C!2, k2_zfmisc_1(A!0, A!0), A!0)) | (~v1_funct_2(C!2, k2_zfmisc_1(A!0, A!0), A!0)) | ![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(D, B!1))) | (~v1_funct_2(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_2(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~((~((~r4_binop_1(A!0, C!2, D)) | r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D, B!1)))) | (~((~r5_binop_1(A!0, C!2, D)) | r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D, B!1))))))))),
% 0.47/0.64      inference(rewrite,[status(thm)],[])).
% 0.47/0.64  tff(94,plain,
% 0.47/0.64      (((~v1_funct_1(C!2)) | (~v1_funct_2(C!2, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(C!2, k2_zfmisc_1(A!0, A!0), A!0)) | ![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(D, B!1))) | (~v1_funct_2(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_2(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~((~((~r4_binop_1(A!0, C!2, D)) | r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D, B!1)))) | (~((~r5_binop_1(A!0, C!2, D)) | r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D, B!1)))))))) <=> ((~v1_funct_1(C!2)) | (~m2_relset_1(C!2, k2_zfmisc_1(A!0, A!0), A!0)) | (~v1_funct_2(C!2, k2_zfmisc_1(A!0, A!0), A!0)) | ![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(D, B!1))) | (~v1_funct_2(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_2(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~((~((~r4_binop_1(A!0, C!2, D)) | r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D, B!1)))) | (~((~r5_binop_1(A!0, C!2, D)) | r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D, B!1))))))))),
% 0.47/0.64      inference(rewrite,[status(thm)],[])).
% 0.47/0.64  tff(95,plain,
% 0.47/0.64      (^[D: $i] : rewrite(((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(D, B!1))) | (~v1_funct_2(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_2(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~((~((~r4_binop_1(A!0, C!2, D)) | r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D, B!1)))) | (~((~r5_binop_1(A!0, C!2, D)) | r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D, B!1))))))) <=> ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(D, B!1))) | (~v1_funct_2(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_2(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~((~((~r4_binop_1(A!0, C!2, D)) | r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D, B!1)))) | (~((~r5_binop_1(A!0, C!2, D)) | r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D, B!1))))))))),
% 0.47/0.64      inference(bind,[status(th)],[])).
% 0.47/0.64  tff(96,plain,
% 0.47/0.64      (![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(D, B!1))) | (~v1_funct_2(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_2(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~((~((~r4_binop_1(A!0, C!2, D)) | r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D, B!1)))) | (~((~r5_binop_1(A!0, C!2, D)) | r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D, B!1))))))) <=> ![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(D, B!1))) | (~v1_funct_2(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_2(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~((~((~r4_binop_1(A!0, C!2, D)) | r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D, B!1)))) | (~((~r5_binop_1(A!0, C!2, D)) | r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D, B!1)))))))),
% 0.47/0.64      inference(quant_intro,[status(thm)],[95])).
% 0.47/0.64  tff(97,plain,
% 0.47/0.64      (((~v1_funct_1(C!2)) | (~v1_funct_2(C!2, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(C!2, k2_zfmisc_1(A!0, A!0), A!0)) | ![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(D, B!1))) | (~v1_funct_2(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_2(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~((~((~r4_binop_1(A!0, C!2, D)) | r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D, B!1)))) | (~((~r5_binop_1(A!0, C!2, D)) | r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D, B!1)))))))) <=> ((~v1_funct_1(C!2)) | (~v1_funct_2(C!2, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(C!2, k2_zfmisc_1(A!0, A!0), A!0)) | ![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(D, B!1))) | (~v1_funct_2(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_2(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~((~((~r4_binop_1(A!0, C!2, D)) | r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D, B!1)))) | (~((~r5_binop_1(A!0, C!2, D)) | r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D, B!1))))))))),
% 0.47/0.64      inference(monotonicity,[status(thm)],[96])).
% 0.47/0.64  tff(98,plain,
% 0.47/0.64      (((~v1_funct_1(C!2)) | (~v1_funct_2(C!2, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(C!2, k2_zfmisc_1(A!0, A!0), A!0)) | ![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(D, B!1))) | (~v1_funct_2(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_2(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~((~((~r4_binop_1(A!0, C!2, D)) | r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D, B!1)))) | (~((~r5_binop_1(A!0, C!2, D)) | r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D, B!1)))))))) <=> ((~v1_funct_1(C!2)) | (~m2_relset_1(C!2, k2_zfmisc_1(A!0, A!0), A!0)) | (~v1_funct_2(C!2, k2_zfmisc_1(A!0, A!0), A!0)) | ![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(D, B!1))) | (~v1_funct_2(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_2(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~((~((~r4_binop_1(A!0, C!2, D)) | r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D, B!1)))) | (~((~r5_binop_1(A!0, C!2, D)) | r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D, B!1))))))))),
% 0.47/0.64      inference(transitivity,[status(thm)],[97, 94])).
% 0.47/0.64  tff(99,plain,
% 0.47/0.64      (((~![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(C, k2_zfmisc_1(A!0, A!0), A!0)) | ![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(C, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(D, B!1))) | (~v1_funct_2(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C, B!1))) | (~v1_funct_2(k1_realset1(C, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_2(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~((~((~r4_binop_1(A!0, C, D)) | r4_binop_1(B!1, k1_realset1(C, B!1), k1_realset1(D, B!1)))) | (~((~r5_binop_1(A!0, C, D)) | r5_binop_1(B!1, k1_realset1(C, B!1), k1_realset1(D, B!1))))))))) | ((~v1_funct_1(C!2)) | (~v1_funct_2(C!2, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(C!2, k2_zfmisc_1(A!0, A!0), A!0)) | ![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(D, B!1))) | (~v1_funct_2(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_2(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~((~((~r4_binop_1(A!0, C!2, D)) | r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D, B!1)))) | (~((~r5_binop_1(A!0, C!2, D)) | r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D, B!1))))))))) <=> ((~![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(C, k2_zfmisc_1(A!0, A!0), A!0)) | ![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(C, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(D, B!1))) | (~v1_funct_2(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C, B!1))) | (~v1_funct_2(k1_realset1(C, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_2(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~((~((~r4_binop_1(A!0, C, D)) | r4_binop_1(B!1, k1_realset1(C, B!1), k1_realset1(D, B!1)))) | (~((~r5_binop_1(A!0, C, D)) | r5_binop_1(B!1, k1_realset1(C, B!1), k1_realset1(D, B!1))))))))) | ((~v1_funct_1(C!2)) | (~m2_relset_1(C!2, k2_zfmisc_1(A!0, A!0), A!0)) | (~v1_funct_2(C!2, k2_zfmisc_1(A!0, A!0), A!0)) | ![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(D, B!1))) | (~v1_funct_2(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_2(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~((~((~r4_binop_1(A!0, C!2, D)) | r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D, B!1)))) | (~((~r5_binop_1(A!0, C!2, D)) | r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D, B!1)))))))))),
% 0.47/0.65      inference(monotonicity,[status(thm)],[98])).
% 0.47/0.65  tff(100,plain,
% 0.47/0.65      (((~![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(C, k2_zfmisc_1(A!0, A!0), A!0)) | ![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(C, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(D, B!1))) | (~v1_funct_2(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C, B!1))) | (~v1_funct_2(k1_realset1(C, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_2(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~((~((~r4_binop_1(A!0, C, D)) | r4_binop_1(B!1, k1_realset1(C, B!1), k1_realset1(D, B!1)))) | (~((~r5_binop_1(A!0, C, D)) | r5_binop_1(B!1, k1_realset1(C, B!1), k1_realset1(D, B!1))))))))) | ((~v1_funct_1(C!2)) | (~v1_funct_2(C!2, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(C!2, k2_zfmisc_1(A!0, A!0), A!0)) | ![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(D, B!1))) | (~v1_funct_2(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_2(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~((~((~r4_binop_1(A!0, C!2, D)) | r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D, B!1)))) | (~((~r5_binop_1(A!0, C!2, D)) | r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D, B!1))))))))) <=> ((~![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(C, k2_zfmisc_1(A!0, A!0), A!0)) | ![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(C, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(D, B!1))) | (~v1_funct_2(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C, B!1))) | (~v1_funct_2(k1_realset1(C, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_2(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~((~((~r4_binop_1(A!0, C, D)) | r4_binop_1(B!1, k1_realset1(C, B!1), k1_realset1(D, B!1)))) | (~((~r5_binop_1(A!0, C, D)) | r5_binop_1(B!1, k1_realset1(C, B!1), k1_realset1(D, B!1))))))))) | (~v1_funct_1(C!2)) | (~m2_relset_1(C!2, k2_zfmisc_1(A!0, A!0), A!0)) | (~v1_funct_2(C!2, k2_zfmisc_1(A!0, A!0), A!0)) | ![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(D, B!1))) | (~v1_funct_2(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_2(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~((~((~r4_binop_1(A!0, C!2, D)) | r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D, B!1)))) | (~((~r5_binop_1(A!0, C!2, D)) | r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D, B!1))))))))),
% 0.47/0.65      inference(transitivity,[status(thm)],[99, 93])).
% 0.47/0.65  tff(101,plain,
% 0.47/0.65      ((~![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(C, k2_zfmisc_1(A!0, A!0), A!0)) | ![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(C, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(D, B!1))) | (~v1_funct_2(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C, B!1))) | (~v1_funct_2(k1_realset1(C, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_2(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~((~((~r4_binop_1(A!0, C, D)) | r4_binop_1(B!1, k1_realset1(C, B!1), k1_realset1(D, B!1)))) | (~((~r5_binop_1(A!0, C, D)) | r5_binop_1(B!1, k1_realset1(C, B!1), k1_realset1(D, B!1))))))))) | ((~v1_funct_1(C!2)) | (~v1_funct_2(C!2, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(C!2, k2_zfmisc_1(A!0, A!0), A!0)) | ![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(D, B!1))) | (~v1_funct_2(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_2(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~((~((~r4_binop_1(A!0, C!2, D)) | r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D, B!1)))) | (~((~r5_binop_1(A!0, C!2, D)) | r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D, B!1))))))))),
% 0.47/0.65      inference(quant_inst,[status(thm)],[])).
% 0.47/0.65  tff(102,plain,
% 0.47/0.65      ((~![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(C, k2_zfmisc_1(A!0, A!0), A!0)) | ![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(C, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(D, B!1))) | (~v1_funct_2(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C, B!1))) | (~v1_funct_2(k1_realset1(C, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_2(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~((~((~r4_binop_1(A!0, C, D)) | r4_binop_1(B!1, k1_realset1(C, B!1), k1_realset1(D, B!1)))) | (~((~r5_binop_1(A!0, C, D)) | r5_binop_1(B!1, k1_realset1(C, B!1), k1_realset1(D, B!1))))))))) | (~v1_funct_1(C!2)) | (~m2_relset_1(C!2, k2_zfmisc_1(A!0, A!0), A!0)) | (~v1_funct_2(C!2, k2_zfmisc_1(A!0, A!0), A!0)) | ![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(D, B!1))) | (~v1_funct_2(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_2(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~((~((~r4_binop_1(A!0, C!2, D)) | r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D, B!1)))) | (~((~r5_binop_1(A!0, C!2, D)) | r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D, B!1)))))))),
% 0.47/0.65      inference(modus_ponens,[status(thm)],[101, 100])).
% 0.47/0.65  tff(103,plain,
% 0.47/0.65      (![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(D, B!1))) | (~v1_funct_2(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_2(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~((~((~r4_binop_1(A!0, C!2, D)) | r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D, B!1)))) | (~((~r5_binop_1(A!0, C!2, D)) | r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D, B!1)))))))),
% 0.47/0.65      inference(unit_resolution,[status(thm)],[102, 92, 91, 90, 89])).
% 0.47/0.65  tff(104,plain,
% 0.47/0.65      (v1_funct_1(D!3) & v1_funct_2(D!3, k2_zfmisc_1(A!0, A!0), A!0) & m2_relset_1(D!3, k2_zfmisc_1(A!0, A!0), A!0)),
% 0.47/0.65      inference(or_elim,[status(thm)],[35])).
% 0.47/0.65  tff(105,plain,
% 0.47/0.65      (m2_relset_1(D!3, k2_zfmisc_1(A!0, A!0), A!0)),
% 0.47/0.65      inference(and_elim,[status(thm)],[104])).
% 0.47/0.65  tff(106,plain,
% 0.47/0.65      (v1_funct_2(D!3, k2_zfmisc_1(A!0, A!0), A!0)),
% 0.47/0.65      inference(and_elim,[status(thm)],[104])).
% 0.47/0.65  tff(107,plain,
% 0.47/0.65      (v1_funct_1(D!3)),
% 0.47/0.65      inference(and_elim,[status(thm)],[104])).
% 0.47/0.65  tff(108,plain,
% 0.47/0.65      (((~![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(D, B!1))) | (~v1_funct_2(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_2(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~((~((~r4_binop_1(A!0, C!2, D)) | r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D, B!1)))) | (~((~r5_binop_1(A!0, C!2, D)) | r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D, B!1)))))))) | ((~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(D!3, B!1))) | (~v1_funct_2(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(D!3)) | (~m2_relset_1(D!3, k2_zfmisc_1(A!0, A!0), A!0)) | (~v1_funct_2(D!3, k2_zfmisc_1(A!0, A!0), A!0)) | (~((~((~r4_binop_1(A!0, C!2, D!3)) | r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)))) | (~((~r5_binop_1(A!0, C!2, D!3)) | r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)))))))) <=> ((~![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(D, B!1))) | (~v1_funct_2(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_2(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~((~((~r4_binop_1(A!0, C!2, D)) | r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D, B!1)))) | (~((~r5_binop_1(A!0, C!2, D)) | r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D, B!1)))))))) | (~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(D!3, B!1))) | (~v1_funct_2(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(D!3)) | (~m2_relset_1(D!3, k2_zfmisc_1(A!0, A!0), A!0)) | (~v1_funct_2(D!3, k2_zfmisc_1(A!0, A!0), A!0)) | (~((~((~r4_binop_1(A!0, C!2, D!3)) | r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)))) | (~((~r5_binop_1(A!0, C!2, D!3)) | r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)))))))),
% 0.47/0.65      inference(rewrite,[status(thm)],[])).
% 0.47/0.65  tff(109,plain,
% 0.47/0.65      (((~v1_funct_1(D!3)) | (~m2_relset_1(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(D!3, B!1))) | (~v1_funct_2(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_2(D!3, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(D!3, k2_zfmisc_1(A!0, A!0), A!0)) | (~((~((~r4_binop_1(A!0, C!2, D!3)) | r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)))) | (~((~r5_binop_1(A!0, C!2, D!3)) | r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1))))))) <=> ((~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(D!3, B!1))) | (~v1_funct_2(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(D!3)) | (~m2_relset_1(D!3, k2_zfmisc_1(A!0, A!0), A!0)) | (~v1_funct_2(D!3, k2_zfmisc_1(A!0, A!0), A!0)) | (~((~((~r4_binop_1(A!0, C!2, D!3)) | r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)))) | (~((~r5_binop_1(A!0, C!2, D!3)) | r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)))))))),
% 0.47/0.65      inference(rewrite,[status(thm)],[])).
% 0.47/0.65  tff(110,plain,
% 0.47/0.65      (((~![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(D, B!1))) | (~v1_funct_2(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_2(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~((~((~r4_binop_1(A!0, C!2, D)) | r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D, B!1)))) | (~((~r5_binop_1(A!0, C!2, D)) | r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D, B!1)))))))) | ((~v1_funct_1(D!3)) | (~m2_relset_1(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(D!3, B!1))) | (~v1_funct_2(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_2(D!3, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(D!3, k2_zfmisc_1(A!0, A!0), A!0)) | (~((~((~r4_binop_1(A!0, C!2, D!3)) | r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)))) | (~((~r5_binop_1(A!0, C!2, D!3)) | r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)))))))) <=> ((~![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(D, B!1))) | (~v1_funct_2(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_2(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~((~((~r4_binop_1(A!0, C!2, D)) | r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D, B!1)))) | (~((~r5_binop_1(A!0, C!2, D)) | r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D, B!1)))))))) | ((~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(D!3, B!1))) | (~v1_funct_2(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(D!3)) | (~m2_relset_1(D!3, k2_zfmisc_1(A!0, A!0), A!0)) | (~v1_funct_2(D!3, k2_zfmisc_1(A!0, A!0), A!0)) | (~((~((~r4_binop_1(A!0, C!2, D!3)) | r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)))) | (~((~r5_binop_1(A!0, C!2, D!3)) | r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1))))))))),
% 0.47/0.66      inference(monotonicity,[status(thm)],[109])).
% 0.47/0.66  tff(111,plain,
% 0.47/0.66      (((~![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(D, B!1))) | (~v1_funct_2(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_2(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~((~((~r4_binop_1(A!0, C!2, D)) | r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D, B!1)))) | (~((~r5_binop_1(A!0, C!2, D)) | r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D, B!1)))))))) | ((~v1_funct_1(D!3)) | (~m2_relset_1(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(D!3, B!1))) | (~v1_funct_2(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_2(D!3, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(D!3, k2_zfmisc_1(A!0, A!0), A!0)) | (~((~((~r4_binop_1(A!0, C!2, D!3)) | r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)))) | (~((~r5_binop_1(A!0, C!2, D!3)) | r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)))))))) <=> ((~![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(D, B!1))) | (~v1_funct_2(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_2(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~((~((~r4_binop_1(A!0, C!2, D)) | r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D, B!1)))) | (~((~r5_binop_1(A!0, C!2, D)) | r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D, B!1)))))))) | (~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(D!3, B!1))) | (~v1_funct_2(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(D!3)) | (~m2_relset_1(D!3, k2_zfmisc_1(A!0, A!0), A!0)) | (~v1_funct_2(D!3, k2_zfmisc_1(A!0, A!0), A!0)) | (~((~((~r4_binop_1(A!0, C!2, D!3)) | r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)))) | (~((~r5_binop_1(A!0, C!2, D!3)) | r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)))))))),
% 0.47/0.66      inference(transitivity,[status(thm)],[110, 108])).
% 0.47/0.66  tff(112,plain,
% 0.47/0.66      ((~![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(D, B!1))) | (~v1_funct_2(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_2(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~((~((~r4_binop_1(A!0, C!2, D)) | r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D, B!1)))) | (~((~r5_binop_1(A!0, C!2, D)) | r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D, B!1)))))))) | ((~v1_funct_1(D!3)) | (~m2_relset_1(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(D!3, B!1))) | (~v1_funct_2(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_2(D!3, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(D!3, k2_zfmisc_1(A!0, A!0), A!0)) | (~((~((~r4_binop_1(A!0, C!2, D!3)) | r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)))) | (~((~r5_binop_1(A!0, C!2, D!3)) | r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)))))))),
% 0.47/0.66      inference(quant_inst,[status(thm)],[])).
% 0.47/0.66  tff(113,plain,
% 0.47/0.66      ((~![D: $i] : ((~v1_funct_1(D)) | (~m2_relset_1(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(D, B!1))) | (~v1_funct_2(k1_realset1(D, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_2(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(D, k2_zfmisc_1(A!0, A!0), A!0)) | (~((~((~r4_binop_1(A!0, C!2, D)) | r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D, B!1)))) | (~((~r5_binop_1(A!0, C!2, D)) | r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D, B!1)))))))) | (~m2_relset_1(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(C!2, B!1))) | (~v1_funct_2(k1_realset1(C!2, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~m2_relset_1(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(k1_realset1(D!3, B!1))) | (~v1_funct_2(k1_realset1(D!3, B!1), k2_zfmisc_1(B!1, B!1), B!1)) | (~v1_funct_1(D!3)) | (~m2_relset_1(D!3, k2_zfmisc_1(A!0, A!0), A!0)) | (~v1_funct_2(D!3, k2_zfmisc_1(A!0, A!0), A!0)) | (~((~((~r4_binop_1(A!0, C!2, D!3)) | r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)))) | (~((~r5_binop_1(A!0, C!2, D!3)) | r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1))))))),
% 0.47/0.66      inference(modus_ponens,[status(thm)],[112, 111])).
% 0.47/0.66  tff(114,plain,
% 0.47/0.66      (~((~((~r4_binop_1(A!0, C!2, D!3)) | r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)))) | (~((~r5_binop_1(A!0, C!2, D!3)) | r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)))))),
% 0.47/0.66      inference(unit_resolution,[status(thm)],[113, 38, 37, 36, 107, 106, 105, 48, 47, 46, 103])).
% 0.47/0.66  tff(115,plain,
% 0.47/0.66      (((~((~r4_binop_1(A!0, C!2, D!3)) | r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)))) | (~((~r5_binop_1(A!0, C!2, D!3)) | r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1))))) | ((~r4_binop_1(A!0, C!2, D!3)) | r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)))),
% 0.47/0.66      inference(tautology,[status(thm)],[])).
% 0.47/0.66  tff(116,plain,
% 0.47/0.66      ((~r4_binop_1(A!0, C!2, D!3)) | r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1))),
% 0.47/0.66      inference(unit_resolution,[status(thm)],[115, 114])).
% 0.47/0.66  tff(117,plain,
% 0.47/0.66      (((~![A: $i, B: $i] : ((~v1_funct_1(B)) | (~v1_funct_2(B, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(B, k2_zfmisc_1(A, A), A)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(C, k2_zfmisc_1(A, A), A)) | (~(((~r4_binop_1(A, B, C)) | (~r5_binop_1(A, B, C))) <=> r6_binop_1(A, B, C)))))) | ((~v1_funct_1(C!2)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(C, k2_zfmisc_1(A!0, A!0), A!0)) | (~(((~r4_binop_1(A!0, C!2, C)) | (~r5_binop_1(A!0, C!2, C))) <=> r6_binop_1(A!0, C!2, C)))) | (~m2_relset_1(C!2, k2_zfmisc_1(A!0, A!0), A!0)) | (~v1_funct_2(C!2, k2_zfmisc_1(A!0, A!0), A!0)))) <=> ((~![A: $i, B: $i] : ((~v1_funct_1(B)) | (~v1_funct_2(B, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(B, k2_zfmisc_1(A, A), A)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(C, k2_zfmisc_1(A, A), A)) | (~(((~r4_binop_1(A, B, C)) | (~r5_binop_1(A, B, C))) <=> r6_binop_1(A, B, C)))))) | (~v1_funct_1(C!2)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(C, k2_zfmisc_1(A!0, A!0), A!0)) | (~(((~r4_binop_1(A!0, C!2, C)) | (~r5_binop_1(A!0, C!2, C))) <=> r6_binop_1(A!0, C!2, C)))) | (~m2_relset_1(C!2, k2_zfmisc_1(A!0, A!0), A!0)) | (~v1_funct_2(C!2, k2_zfmisc_1(A!0, A!0), A!0)))),
% 0.47/0.66      inference(rewrite,[status(thm)],[])).
% 0.47/0.66  tff(118,plain,
% 0.47/0.66      (((~v1_funct_1(C!2)) | (~v1_funct_2(C!2, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(C!2, k2_zfmisc_1(A!0, A!0), A!0)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(C, k2_zfmisc_1(A!0, A!0), A!0)) | (~(((~r4_binop_1(A!0, C!2, C)) | (~r5_binop_1(A!0, C!2, C))) <=> r6_binop_1(A!0, C!2, C))))) <=> ((~v1_funct_1(C!2)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(C, k2_zfmisc_1(A!0, A!0), A!0)) | (~(((~r4_binop_1(A!0, C!2, C)) | (~r5_binop_1(A!0, C!2, C))) <=> r6_binop_1(A!0, C!2, C)))) | (~m2_relset_1(C!2, k2_zfmisc_1(A!0, A!0), A!0)) | (~v1_funct_2(C!2, k2_zfmisc_1(A!0, A!0), A!0)))),
% 0.47/0.66      inference(rewrite,[status(thm)],[])).
% 0.47/0.66  tff(119,plain,
% 0.47/0.66      (((~![A: $i, B: $i] : ((~v1_funct_1(B)) | (~v1_funct_2(B, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(B, k2_zfmisc_1(A, A), A)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(C, k2_zfmisc_1(A, A), A)) | (~(((~r4_binop_1(A, B, C)) | (~r5_binop_1(A, B, C))) <=> r6_binop_1(A, B, C)))))) | ((~v1_funct_1(C!2)) | (~v1_funct_2(C!2, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(C!2, k2_zfmisc_1(A!0, A!0), A!0)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(C, k2_zfmisc_1(A!0, A!0), A!0)) | (~(((~r4_binop_1(A!0, C!2, C)) | (~r5_binop_1(A!0, C!2, C))) <=> r6_binop_1(A!0, C!2, C)))))) <=> ((~![A: $i, B: $i] : ((~v1_funct_1(B)) | (~v1_funct_2(B, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(B, k2_zfmisc_1(A, A), A)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(C, k2_zfmisc_1(A, A), A)) | (~(((~r4_binop_1(A, B, C)) | (~r5_binop_1(A, B, C))) <=> r6_binop_1(A, B, C)))))) | ((~v1_funct_1(C!2)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(C, k2_zfmisc_1(A!0, A!0), A!0)) | (~(((~r4_binop_1(A!0, C!2, C)) | (~r5_binop_1(A!0, C!2, C))) <=> r6_binop_1(A!0, C!2, C)))) | (~m2_relset_1(C!2, k2_zfmisc_1(A!0, A!0), A!0)) | (~v1_funct_2(C!2, k2_zfmisc_1(A!0, A!0), A!0))))),
% 0.47/0.66      inference(monotonicity,[status(thm)],[118])).
% 0.47/0.66  tff(120,plain,
% 0.47/0.66      (((~![A: $i, B: $i] : ((~v1_funct_1(B)) | (~v1_funct_2(B, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(B, k2_zfmisc_1(A, A), A)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(C, k2_zfmisc_1(A, A), A)) | (~(((~r4_binop_1(A, B, C)) | (~r5_binop_1(A, B, C))) <=> r6_binop_1(A, B, C)))))) | ((~v1_funct_1(C!2)) | (~v1_funct_2(C!2, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(C!2, k2_zfmisc_1(A!0, A!0), A!0)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(C, k2_zfmisc_1(A!0, A!0), A!0)) | (~(((~r4_binop_1(A!0, C!2, C)) | (~r5_binop_1(A!0, C!2, C))) <=> r6_binop_1(A!0, C!2, C)))))) <=> ((~![A: $i, B: $i] : ((~v1_funct_1(B)) | (~v1_funct_2(B, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(B, k2_zfmisc_1(A, A), A)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(C, k2_zfmisc_1(A, A), A)) | (~(((~r4_binop_1(A, B, C)) | (~r5_binop_1(A, B, C))) <=> r6_binop_1(A, B, C)))))) | (~v1_funct_1(C!2)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(C, k2_zfmisc_1(A!0, A!0), A!0)) | (~(((~r4_binop_1(A!0, C!2, C)) | (~r5_binop_1(A!0, C!2, C))) <=> r6_binop_1(A!0, C!2, C)))) | (~m2_relset_1(C!2, k2_zfmisc_1(A!0, A!0), A!0)) | (~v1_funct_2(C!2, k2_zfmisc_1(A!0, A!0), A!0)))),
% 0.47/0.66      inference(transitivity,[status(thm)],[119, 117])).
% 0.47/0.66  tff(121,plain,
% 0.47/0.66      ((~![A: $i, B: $i] : ((~v1_funct_1(B)) | (~v1_funct_2(B, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(B, k2_zfmisc_1(A, A), A)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(C, k2_zfmisc_1(A, A), A)) | (~(((~r4_binop_1(A, B, C)) | (~r5_binop_1(A, B, C))) <=> r6_binop_1(A, B, C)))))) | ((~v1_funct_1(C!2)) | (~v1_funct_2(C!2, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(C!2, k2_zfmisc_1(A!0, A!0), A!0)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(C, k2_zfmisc_1(A!0, A!0), A!0)) | (~(((~r4_binop_1(A!0, C!2, C)) | (~r5_binop_1(A!0, C!2, C))) <=> r6_binop_1(A!0, C!2, C)))))),
% 0.47/0.66      inference(quant_inst,[status(thm)],[])).
% 0.47/0.66  tff(122,plain,
% 0.47/0.66      ((~![A: $i, B: $i] : ((~v1_funct_1(B)) | (~v1_funct_2(B, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(B, k2_zfmisc_1(A, A), A)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A, A), A)) | (~m2_relset_1(C, k2_zfmisc_1(A, A), A)) | (~(((~r4_binop_1(A, B, C)) | (~r5_binop_1(A, B, C))) <=> r6_binop_1(A, B, C)))))) | (~v1_funct_1(C!2)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(C, k2_zfmisc_1(A!0, A!0), A!0)) | (~(((~r4_binop_1(A!0, C!2, C)) | (~r5_binop_1(A!0, C!2, C))) <=> r6_binop_1(A!0, C!2, C)))) | (~m2_relset_1(C!2, k2_zfmisc_1(A!0, A!0), A!0)) | (~v1_funct_2(C!2, k2_zfmisc_1(A!0, A!0), A!0))),
% 0.47/0.66      inference(modus_ponens,[status(thm)],[121, 120])).
% 0.47/0.66  tff(123,plain,
% 0.47/0.66      (![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(C, k2_zfmisc_1(A!0, A!0), A!0)) | (~(((~r4_binop_1(A!0, C!2, C)) | (~r5_binop_1(A!0, C!2, C))) <=> r6_binop_1(A!0, C!2, C))))),
% 0.47/0.66      inference(unit_resolution,[status(thm)],[122, 92, 91, 90, 16])).
% 0.47/0.66  tff(124,plain,
% 0.47/0.66      (((~![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(C, k2_zfmisc_1(A!0, A!0), A!0)) | (~(((~r4_binop_1(A!0, C!2, C)) | (~r5_binop_1(A!0, C!2, C))) <=> r6_binop_1(A!0, C!2, C))))) | ((~v1_funct_1(D!3)) | (~m2_relset_1(D!3, k2_zfmisc_1(A!0, A!0), A!0)) | (~v1_funct_2(D!3, k2_zfmisc_1(A!0, A!0), A!0)) | (~(((~r4_binop_1(A!0, C!2, D!3)) | (~r5_binop_1(A!0, C!2, D!3))) <=> r6_binop_1(A!0, C!2, D!3))))) <=> ((~![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(C, k2_zfmisc_1(A!0, A!0), A!0)) | (~(((~r4_binop_1(A!0, C!2, C)) | (~r5_binop_1(A!0, C!2, C))) <=> r6_binop_1(A!0, C!2, C))))) | (~v1_funct_1(D!3)) | (~m2_relset_1(D!3, k2_zfmisc_1(A!0, A!0), A!0)) | (~v1_funct_2(D!3, k2_zfmisc_1(A!0, A!0), A!0)) | (~(((~r4_binop_1(A!0, C!2, D!3)) | (~r5_binop_1(A!0, C!2, D!3))) <=> r6_binop_1(A!0, C!2, D!3))))),
% 0.47/0.66      inference(rewrite,[status(thm)],[])).
% 0.47/0.66  tff(125,plain,
% 0.47/0.66      (((~v1_funct_1(D!3)) | (~v1_funct_2(D!3, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(D!3, k2_zfmisc_1(A!0, A!0), A!0)) | (~(((~r4_binop_1(A!0, C!2, D!3)) | (~r5_binop_1(A!0, C!2, D!3))) <=> r6_binop_1(A!0, C!2, D!3)))) <=> ((~v1_funct_1(D!3)) | (~m2_relset_1(D!3, k2_zfmisc_1(A!0, A!0), A!0)) | (~v1_funct_2(D!3, k2_zfmisc_1(A!0, A!0), A!0)) | (~(((~r4_binop_1(A!0, C!2, D!3)) | (~r5_binop_1(A!0, C!2, D!3))) <=> r6_binop_1(A!0, C!2, D!3))))),
% 0.47/0.66      inference(rewrite,[status(thm)],[])).
% 0.47/0.66  tff(126,plain,
% 0.47/0.66      ((~(((~r4_binop_1(A!0, C!2, D!3)) | (~r5_binop_1(A!0, C!2, D!3))) <=> r6_binop_1(A!0, C!2, D!3))) <=> (~(((~r4_binop_1(A!0, C!2, D!3)) | (~r5_binop_1(A!0, C!2, D!3))) <=> r6_binop_1(A!0, C!2, D!3)))),
% 0.47/0.66      inference(rewrite,[status(thm)],[])).
% 0.47/0.66  tff(127,plain,
% 0.47/0.66      (((~v1_funct_1(D!3)) | (~v1_funct_2(D!3, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(D!3, k2_zfmisc_1(A!0, A!0), A!0)) | (~(((~r4_binop_1(A!0, C!2, D!3)) | (~r5_binop_1(A!0, C!2, D!3))) <=> r6_binop_1(A!0, C!2, D!3)))) <=> ((~v1_funct_1(D!3)) | (~v1_funct_2(D!3, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(D!3, k2_zfmisc_1(A!0, A!0), A!0)) | (~(((~r4_binop_1(A!0, C!2, D!3)) | (~r5_binop_1(A!0, C!2, D!3))) <=> r6_binop_1(A!0, C!2, D!3))))),
% 0.47/0.66      inference(monotonicity,[status(thm)],[126])).
% 0.47/0.66  tff(128,plain,
% 0.47/0.66      (((~v1_funct_1(D!3)) | (~v1_funct_2(D!3, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(D!3, k2_zfmisc_1(A!0, A!0), A!0)) | (~(((~r4_binop_1(A!0, C!2, D!3)) | (~r5_binop_1(A!0, C!2, D!3))) <=> r6_binop_1(A!0, C!2, D!3)))) <=> ((~v1_funct_1(D!3)) | (~m2_relset_1(D!3, k2_zfmisc_1(A!0, A!0), A!0)) | (~v1_funct_2(D!3, k2_zfmisc_1(A!0, A!0), A!0)) | (~(((~r4_binop_1(A!0, C!2, D!3)) | (~r5_binop_1(A!0, C!2, D!3))) <=> r6_binop_1(A!0, C!2, D!3))))),
% 0.47/0.66      inference(transitivity,[status(thm)],[127, 125])).
% 0.47/0.66  tff(129,plain,
% 0.47/0.66      (((~![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(C, k2_zfmisc_1(A!0, A!0), A!0)) | (~(((~r4_binop_1(A!0, C!2, C)) | (~r5_binop_1(A!0, C!2, C))) <=> r6_binop_1(A!0, C!2, C))))) | ((~v1_funct_1(D!3)) | (~v1_funct_2(D!3, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(D!3, k2_zfmisc_1(A!0, A!0), A!0)) | (~(((~r4_binop_1(A!0, C!2, D!3)) | (~r5_binop_1(A!0, C!2, D!3))) <=> r6_binop_1(A!0, C!2, D!3))))) <=> ((~![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(C, k2_zfmisc_1(A!0, A!0), A!0)) | (~(((~r4_binop_1(A!0, C!2, C)) | (~r5_binop_1(A!0, C!2, C))) <=> r6_binop_1(A!0, C!2, C))))) | ((~v1_funct_1(D!3)) | (~m2_relset_1(D!3, k2_zfmisc_1(A!0, A!0), A!0)) | (~v1_funct_2(D!3, k2_zfmisc_1(A!0, A!0), A!0)) | (~(((~r4_binop_1(A!0, C!2, D!3)) | (~r5_binop_1(A!0, C!2, D!3))) <=> r6_binop_1(A!0, C!2, D!3)))))),
% 0.47/0.67      inference(monotonicity,[status(thm)],[128])).
% 0.47/0.67  tff(130,plain,
% 0.47/0.67      (((~![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(C, k2_zfmisc_1(A!0, A!0), A!0)) | (~(((~r4_binop_1(A!0, C!2, C)) | (~r5_binop_1(A!0, C!2, C))) <=> r6_binop_1(A!0, C!2, C))))) | ((~v1_funct_1(D!3)) | (~v1_funct_2(D!3, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(D!3, k2_zfmisc_1(A!0, A!0), A!0)) | (~(((~r4_binop_1(A!0, C!2, D!3)) | (~r5_binop_1(A!0, C!2, D!3))) <=> r6_binop_1(A!0, C!2, D!3))))) <=> ((~![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(C, k2_zfmisc_1(A!0, A!0), A!0)) | (~(((~r4_binop_1(A!0, C!2, C)) | (~r5_binop_1(A!0, C!2, C))) <=> r6_binop_1(A!0, C!2, C))))) | (~v1_funct_1(D!3)) | (~m2_relset_1(D!3, k2_zfmisc_1(A!0, A!0), A!0)) | (~v1_funct_2(D!3, k2_zfmisc_1(A!0, A!0), A!0)) | (~(((~r4_binop_1(A!0, C!2, D!3)) | (~r5_binop_1(A!0, C!2, D!3))) <=> r6_binop_1(A!0, C!2, D!3))))),
% 0.47/0.67      inference(transitivity,[status(thm)],[129, 124])).
% 0.47/0.67  tff(131,plain,
% 0.47/0.67      ((~![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(C, k2_zfmisc_1(A!0, A!0), A!0)) | (~(((~r4_binop_1(A!0, C!2, C)) | (~r5_binop_1(A!0, C!2, C))) <=> r6_binop_1(A!0, C!2, C))))) | ((~v1_funct_1(D!3)) | (~v1_funct_2(D!3, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(D!3, k2_zfmisc_1(A!0, A!0), A!0)) | (~(((~r4_binop_1(A!0, C!2, D!3)) | (~r5_binop_1(A!0, C!2, D!3))) <=> r6_binop_1(A!0, C!2, D!3))))),
% 0.47/0.67      inference(quant_inst,[status(thm)],[])).
% 0.47/0.67  tff(132,plain,
% 0.47/0.67      ((~![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, k2_zfmisc_1(A!0, A!0), A!0)) | (~m2_relset_1(C, k2_zfmisc_1(A!0, A!0), A!0)) | (~(((~r4_binop_1(A!0, C!2, C)) | (~r5_binop_1(A!0, C!2, C))) <=> r6_binop_1(A!0, C!2, C))))) | (~v1_funct_1(D!3)) | (~m2_relset_1(D!3, k2_zfmisc_1(A!0, A!0), A!0)) | (~v1_funct_2(D!3, k2_zfmisc_1(A!0, A!0), A!0)) | (~(((~r4_binop_1(A!0, C!2, D!3)) | (~r5_binop_1(A!0, C!2, D!3))) <=> r6_binop_1(A!0, C!2, D!3)))),
% 0.47/0.67      inference(modus_ponens,[status(thm)],[131, 130])).
% 0.47/0.67  tff(133,plain,
% 0.47/0.67      (~(((~r4_binop_1(A!0, C!2, D!3)) | (~r5_binop_1(A!0, C!2, D!3))) <=> r6_binop_1(A!0, C!2, D!3))),
% 0.47/0.67      inference(unit_resolution,[status(thm)],[132, 107, 106, 105, 123])).
% 0.47/0.67  tff(134,plain,
% 0.47/0.67      (r6_binop_1(A!0, C!2, D!3)),
% 0.47/0.67      inference(or_elim,[status(thm)],[35])).
% 0.47/0.67  tff(135,plain,
% 0.47/0.67      ((((~r4_binop_1(A!0, C!2, D!3)) | (~r5_binop_1(A!0, C!2, D!3))) <=> r6_binop_1(A!0, C!2, D!3)) | (~((~r4_binop_1(A!0, C!2, D!3)) | (~r5_binop_1(A!0, C!2, D!3)))) | (~r6_binop_1(A!0, C!2, D!3))),
% 0.47/0.67      inference(tautology,[status(thm)],[])).
% 0.47/0.67  tff(136,plain,
% 0.47/0.67      ((((~r4_binop_1(A!0, C!2, D!3)) | (~r5_binop_1(A!0, C!2, D!3))) <=> r6_binop_1(A!0, C!2, D!3)) | (~((~r4_binop_1(A!0, C!2, D!3)) | (~r5_binop_1(A!0, C!2, D!3))))),
% 0.47/0.67      inference(unit_resolution,[status(thm)],[135, 134])).
% 0.47/0.67  tff(137,plain,
% 0.47/0.67      (~((~r4_binop_1(A!0, C!2, D!3)) | (~r5_binop_1(A!0, C!2, D!3)))),
% 0.47/0.67      inference(unit_resolution,[status(thm)],[136, 133])).
% 0.47/0.67  tff(138,plain,
% 0.47/0.67      (((~r4_binop_1(A!0, C!2, D!3)) | (~r5_binop_1(A!0, C!2, D!3))) | r4_binop_1(A!0, C!2, D!3)),
% 0.47/0.67      inference(tautology,[status(thm)],[])).
% 0.47/0.67  tff(139,plain,
% 0.47/0.67      (r4_binop_1(A!0, C!2, D!3)),
% 0.47/0.67      inference(unit_resolution,[status(thm)],[138, 137])).
% 0.47/0.67  tff(140,plain,
% 0.47/0.67      ((~((~r4_binop_1(A!0, C!2, D!3)) | r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)))) | (~r4_binop_1(A!0, C!2, D!3)) | r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1))),
% 0.47/0.67      inference(tautology,[status(thm)],[])).
% 0.47/0.67  tff(141,plain,
% 0.47/0.67      ((~((~r4_binop_1(A!0, C!2, D!3)) | r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)))) | r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1))),
% 0.47/0.67      inference(unit_resolution,[status(thm)],[140, 139])).
% 0.47/0.67  tff(142,plain,
% 0.47/0.67      (r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1))),
% 0.47/0.67      inference(unit_resolution,[status(thm)],[141, 116])).
% 0.47/0.67  tff(143,plain,
% 0.47/0.67      (((~((~r4_binop_1(A!0, C!2, D!3)) | r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)))) | (~((~r5_binop_1(A!0, C!2, D!3)) | r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1))))) | ((~r5_binop_1(A!0, C!2, D!3)) | r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)))),
% 0.47/0.67      inference(tautology,[status(thm)],[])).
% 0.47/0.67  tff(144,plain,
% 0.47/0.67      ((~r5_binop_1(A!0, C!2, D!3)) | r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1))),
% 0.47/0.67      inference(unit_resolution,[status(thm)],[143, 114])).
% 0.47/0.67  tff(145,plain,
% 0.47/0.67      (((~r4_binop_1(A!0, C!2, D!3)) | (~r5_binop_1(A!0, C!2, D!3))) | r5_binop_1(A!0, C!2, D!3)),
% 0.47/0.67      inference(tautology,[status(thm)],[])).
% 0.47/0.67  tff(146,plain,
% 0.47/0.67      (r5_binop_1(A!0, C!2, D!3)),
% 0.47/0.67      inference(unit_resolution,[status(thm)],[145, 137])).
% 0.47/0.67  tff(147,plain,
% 0.47/0.67      ((~((~r5_binop_1(A!0, C!2, D!3)) | r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)))) | (~r5_binop_1(A!0, C!2, D!3)) | r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1))),
% 0.47/0.67      inference(tautology,[status(thm)],[])).
% 0.47/0.67  tff(148,plain,
% 0.47/0.67      ((~((~r5_binop_1(A!0, C!2, D!3)) | r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)))) | r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1))),
% 0.47/0.67      inference(unit_resolution,[status(thm)],[147, 146])).
% 0.47/0.67  tff(149,plain,
% 0.47/0.67      (r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1))),
% 0.47/0.67      inference(unit_resolution,[status(thm)],[148, 144])).
% 0.47/0.67  tff(150,plain,
% 0.47/0.67      ((~((~r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1))) | (~r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1))))) | (~r4_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1))) | (~r5_binop_1(B!1, k1_realset1(C!2, B!1), k1_realset1(D!3, B!1)))),
% 0.47/0.67      inference(tautology,[status(thm)],[])).
% 0.47/0.67  tff(151,plain,
% 0.47/0.67      ($false),
% 0.47/0.67      inference(unit_resolution,[status(thm)],[150, 149, 142, 62])).
% 0.47/0.67  % SZS output end Proof
% 0.47/0.67  % E exiting
%------------------------------------------------------------------------------