TSTP Solution File: NUM577+3 by Z3---4.8.9.0

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : NUM577+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun Sep 18 13:10:38 EDT 2022

% Result   : Theorem 253.46s 163.31s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM577+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34  % Computer : n004.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Fri Sep  2 11:54:49 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34  Usage: tptp [options] [-file:]file
% 0.12/0.34    -h, -?       prints this message.
% 0.12/0.34    -smt2        print SMT-LIB2 benchmark.
% 0.12/0.34    -m, -model   generate model.
% 0.12/0.34    -p, -proof   generate proof.
% 0.12/0.34    -c, -core    generate unsat core of named formulas.
% 0.12/0.34    -st, -statistics display statistics.
% 0.12/0.34    -t:timeout   set timeout (in second).
% 0.12/0.34    -smt2status  display status in smt2 format instead of SZS.
% 0.12/0.34    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34    -<param>:<value> configuration parameter and value.
% 0.12/0.34    -o:<output-file> file to place output in.
% 253.46/163.31  % SZS status Theorem
% 253.46/163.31  % SZS output start Proof
% 253.46/163.31  tff(aElementOf0_type, type, (
% 253.46/163.31     aElementOf0: ( $i * $i ) > $o)).
% 253.46/163.31  tff(sdtlpdtrp0_type, type, (
% 253.46/163.31     sdtlpdtrp0: ( $i * $i ) > $i)).
% 253.46/163.31  tff(szszuzczcdt0_type, type, (
% 253.46/163.31     szszuzczcdt0: $i > $i)).
% 253.46/163.31  tff(xn_type, type, (
% 253.46/163.31     xn: $i)).
% 253.46/163.31  tff(xN_type, type, (
% 253.46/163.31     xN: $i)).
% 253.46/163.31  tff(tptp_fun_W0_30_type, type, (
% 253.46/163.31     tptp_fun_W0_30: $i)).
% 253.46/163.31  tff(sdtmndt0_type, type, (
% 253.46/163.31     sdtmndt0: ( $i * $i ) > $i)).
% 253.46/163.31  tff(szmzizndt0_type, type, (
% 253.46/163.31     szmzizndt0: $i > $i)).
% 253.46/163.31  tff(aSet0_type, type, (
% 253.46/163.31     aSet0: $i > $o)).
% 253.46/163.31  tff(aSubsetOf0_type, type, (
% 253.46/163.31     aSubsetOf0: ( $i * $i ) > $o)).
% 253.46/163.31  tff(tptp_fun_W2_1_type, type, (
% 253.46/163.31     tptp_fun_W2_1: ( $i * $i ) > $i)).
% 253.46/163.31  tff(aElement0_type, type, (
% 253.46/163.31     aElement0: $i > $o)).
% 253.46/163.31  tff(sdtlseqdt0_type, type, (
% 253.46/163.31     sdtlseqdt0: ( $i * $i ) > $o)).
% 253.46/163.31  tff(isCountable0_type, type, (
% 253.46/163.31     isCountable0: $i > $o)).
% 253.46/163.31  tff(szDzozmdt0_type, type, (
% 253.46/163.31     szDzozmdt0: $i > $i)).
% 253.46/163.31  tff(szNzAzT0_type, type, (
% 253.46/163.31     szNzAzT0: $i)).
% 253.46/163.31  tff(xm_type, type, (
% 253.46/163.31     xm: $i)).
% 253.46/163.31  tff(tptp_fun_W1_29_type, type, (
% 253.46/163.31     tptp_fun_W1_29: $i > $i)).
% 253.46/163.32  tff(xS_type, type, (
% 253.46/163.32     xS: $i)).
% 253.46/163.32  tff(sz00_type, type, (
% 253.46/163.32     sz00: $i)).
% 253.46/163.32  tff(aFunction0_type, type, (
% 253.46/163.32     aFunction0: $i > $o)).
% 253.46/163.32  tff(1,plain,
% 253.46/163.32      (aElementOf0(xn, szNzAzT0) <=> aElementOf0(xn, szDzozmdt0(xN))),
% 253.46/163.32      inference(rewrite,[status(thm)],[])).
% 253.46/163.32  tff(2,plain,
% 253.46/163.32      (aElementOf0(xn, szNzAzT0) <=> aElementOf0(xn, szNzAzT0)),
% 253.46/163.32      inference(rewrite,[status(thm)],[])).
% 253.46/163.32  tff(3,axiom,(aElementOf0(xn, szNzAzT0) & aElementOf0(xm, szNzAzT0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m__3904')).
% 253.46/163.32  tff(4,plain,
% 253.46/163.32      (aElementOf0(xn, szNzAzT0)),
% 253.46/163.32      inference(and_elim,[status(thm)],[3])).
% 253.46/163.32  tff(5,plain,
% 253.46/163.32      (aElementOf0(xn, szNzAzT0)),
% 253.46/163.32      inference(modus_ponens,[status(thm)],[4, 2])).
% 253.46/163.32  tff(6,plain,
% 253.46/163.32      (aElementOf0(xn, szDzozmdt0(xN))),
% 253.46/163.32      inference(modus_ponens,[status(thm)],[5, 1])).
% 253.46/163.32  tff(7,plain,
% 253.46/163.32      (^[W0: $i] : rewrite(((~aElementOf0(W0, szDzozmdt0(xN))) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szDzozmdt0(xN)))) | (~isCountable0(sdtlpdtrp0(xN, W0)))))) <=> ((~aElementOf0(W0, szDzozmdt0(xN))) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, W0))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szDzozmdt0(xN))))))))),
% 253.46/163.32      inference(bind,[status(th)],[])).
% 253.46/163.32  tff(8,plain,
% 253.46/163.32      (![W0: $i] : ((~aElementOf0(W0, szDzozmdt0(xN))) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szDzozmdt0(xN)))) | (~isCountable0(sdtlpdtrp0(xN, W0)))))) <=> ![W0: $i] : ((~aElementOf0(W0, szDzozmdt0(xN))) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, W0))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szDzozmdt0(xN)))))))),
% 253.46/163.32      inference(quant_intro,[status(thm)],[7])).
% 253.46/163.32  tff(9,plain,
% 253.46/163.32      (^[W0: $i] : refl(((~aElementOf0(W0, szDzozmdt0(xN))) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szDzozmdt0(xN)))) | (~isCountable0(sdtlpdtrp0(xN, W0)))))) <=> ((~aElementOf0(W0, szDzozmdt0(xN))) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szDzozmdt0(xN)))) | (~isCountable0(sdtlpdtrp0(xN, W0)))))))),
% 253.46/163.32      inference(bind,[status(th)],[])).
% 253.46/163.32  tff(10,plain,
% 253.46/163.32      (![W0: $i] : ((~aElementOf0(W0, szDzozmdt0(xN))) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szDzozmdt0(xN)))) | (~isCountable0(sdtlpdtrp0(xN, W0)))))) <=> ![W0: $i] : ((~aElementOf0(W0, szDzozmdt0(xN))) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szDzozmdt0(xN)))) | (~isCountable0(sdtlpdtrp0(xN, W0))))))),
% 253.46/163.32      inference(quant_intro,[status(thm)],[9])).
% 253.46/163.32  tff(11,plain,
% 253.46/163.32      (^[W0: $i] : rewrite(((~aElementOf0(W0, szDzozmdt0(xN))) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szDzozmdt0(xN)))) | (~isCountable0(sdtlpdtrp0(xN, W0)))))) <=> ((~aElementOf0(W0, szDzozmdt0(xN))) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szDzozmdt0(xN)))) | (~isCountable0(sdtlpdtrp0(xN, W0)))))))),
% 253.46/163.32      inference(bind,[status(th)],[])).
% 253.46/163.32  tff(12,plain,
% 253.46/163.32      (![W0: $i] : ((~aElementOf0(W0, szDzozmdt0(xN))) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szDzozmdt0(xN)))) | (~isCountable0(sdtlpdtrp0(xN, W0)))))) <=> ![W0: $i] : ((~aElementOf0(W0, szDzozmdt0(xN))) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szDzozmdt0(xN)))) | (~isCountable0(sdtlpdtrp0(xN, W0))))))),
% 253.46/163.32      inference(quant_intro,[status(thm)],[11])).
% 253.46/163.32  tff(13,plain,
% 253.46/163.32      (![W0: $i] : ((~aElementOf0(W0, szDzozmdt0(xN))) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szDzozmdt0(xN)))) | (~isCountable0(sdtlpdtrp0(xN, W0)))))) <=> ![W0: $i] : ((~aElementOf0(W0, szDzozmdt0(xN))) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szDzozmdt0(xN)))) | (~isCountable0(sdtlpdtrp0(xN, W0))))))),
% 253.46/163.32      inference(transitivity,[status(thm)],[12, 10])).
% 253.46/163.32  tff(14,plain,
% 253.46/163.32      (^[W0: $i] : rewrite(((~aElementOf0(W0, szDzozmdt0(xN))) | (aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szDzozmdt0(xN))) & aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN)) & isCountable0(sdtlpdtrp0(xN, W0)))) <=> ((~aElementOf0(W0, szDzozmdt0(xN))) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szDzozmdt0(xN)))) | (~isCountable0(sdtlpdtrp0(xN, W0)))))))),
% 253.46/163.32      inference(bind,[status(th)],[])).
% 253.46/163.32  tff(15,plain,
% 253.46/163.32      (![W0: $i] : ((~aElementOf0(W0, szDzozmdt0(xN))) | (aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szDzozmdt0(xN))) & aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN)) & isCountable0(sdtlpdtrp0(xN, W0)))) <=> ![W0: $i] : ((~aElementOf0(W0, szDzozmdt0(xN))) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szDzozmdt0(xN)))) | (~isCountable0(sdtlpdtrp0(xN, W0))))))),
% 253.46/163.32      inference(quant_intro,[status(thm)],[14])).
% 253.46/163.32  tff(16,plain,
% 253.46/163.32      (^[W0: $i] : rewrite(((~aElementOf0(W0, szNzAzT0)) | (aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szNzAzT0)) & aSubsetOf0(sdtlpdtrp0(xN, W0), szNzAzT0) & isCountable0(sdtlpdtrp0(xN, W0)))) <=> ((~aElementOf0(W0, szDzozmdt0(xN))) | (aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szDzozmdt0(xN))) & aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN)) & isCountable0(sdtlpdtrp0(xN, W0)))))),
% 253.46/163.32      inference(bind,[status(th)],[])).
% 253.46/163.32  tff(17,plain,
% 253.46/163.32      (![W0: $i] : ((~aElementOf0(W0, szNzAzT0)) | (aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szNzAzT0)) & aSubsetOf0(sdtlpdtrp0(xN, W0), szNzAzT0) & isCountable0(sdtlpdtrp0(xN, W0)))) <=> ![W0: $i] : ((~aElementOf0(W0, szDzozmdt0(xN))) | (aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szDzozmdt0(xN))) & aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN)) & isCountable0(sdtlpdtrp0(xN, W0))))),
% 253.46/163.32      inference(quant_intro,[status(thm)],[16])).
% 253.46/163.32  tff(18,plain,
% 253.46/163.32      (![W0: $i] : ((~aElementOf0(W0, szNzAzT0)) | (aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szNzAzT0)) & aSubsetOf0(sdtlpdtrp0(xN, W0), szNzAzT0) & isCountable0(sdtlpdtrp0(xN, W0)))) <=> ![W0: $i] : ((~aElementOf0(W0, szNzAzT0)) | (aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szNzAzT0)) & aSubsetOf0(sdtlpdtrp0(xN, W0), szNzAzT0) & isCountable0(sdtlpdtrp0(xN, W0))))),
% 253.46/163.32      inference(rewrite,[status(thm)],[])).
% 253.46/163.32  tff(19,plain,
% 253.46/163.32      (^[W0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : (aElementOf0(W1, sdtlpdtrp0(xN, W0)) => aElementOf0(W1, szNzAzT0))) <=> (aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szNzAzT0)))), (((aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : (aElementOf0(W1, sdtlpdtrp0(xN, W0)) => aElementOf0(W1, szNzAzT0))) & aSubsetOf0(sdtlpdtrp0(xN, W0), szNzAzT0)) <=> ((aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szNzAzT0))) & aSubsetOf0(sdtlpdtrp0(xN, W0), szNzAzT0)))), rewrite(((aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szNzAzT0))) & aSubsetOf0(sdtlpdtrp0(xN, W0), szNzAzT0)) <=> (aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szNzAzT0)) & aSubsetOf0(sdtlpdtrp0(xN, W0), szNzAzT0))), (((aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : (aElementOf0(W1, sdtlpdtrp0(xN, W0)) => aElementOf0(W1, szNzAzT0))) & aSubsetOf0(sdtlpdtrp0(xN, W0), szNzAzT0)) <=> (aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szNzAzT0)) & aSubsetOf0(sdtlpdtrp0(xN, W0), szNzAzT0)))), ((((aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : (aElementOf0(W1, sdtlpdtrp0(xN, W0)) => aElementOf0(W1, szNzAzT0))) & aSubsetOf0(sdtlpdtrp0(xN, W0), szNzAzT0)) & isCountable0(sdtlpdtrp0(xN, W0))) <=> ((aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szNzAzT0)) & aSubsetOf0(sdtlpdtrp0(xN, W0), szNzAzT0)) & isCountable0(sdtlpdtrp0(xN, W0))))), rewrite(((aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szNzAzT0)) & aSubsetOf0(sdtlpdtrp0(xN, W0), szNzAzT0)) & isCountable0(sdtlpdtrp0(xN, W0))) <=> (aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szNzAzT0)) & aSubsetOf0(sdtlpdtrp0(xN, W0), szNzAzT0) & isCountable0(sdtlpdtrp0(xN, W0)))), ((((aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : (aElementOf0(W1, sdtlpdtrp0(xN, W0)) => aElementOf0(W1, szNzAzT0))) & aSubsetOf0(sdtlpdtrp0(xN, W0), szNzAzT0)) & isCountable0(sdtlpdtrp0(xN, W0))) <=> (aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szNzAzT0)) & aSubsetOf0(sdtlpdtrp0(xN, W0), szNzAzT0) & isCountable0(sdtlpdtrp0(xN, W0))))), ((aElementOf0(W0, szNzAzT0) => (((aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : (aElementOf0(W1, sdtlpdtrp0(xN, W0)) => aElementOf0(W1, szNzAzT0))) & aSubsetOf0(sdtlpdtrp0(xN, W0), szNzAzT0)) & isCountable0(sdtlpdtrp0(xN, W0)))) <=> (aElementOf0(W0, szNzAzT0) => (aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szNzAzT0)) & aSubsetOf0(sdtlpdtrp0(xN, W0), szNzAzT0) & isCountable0(sdtlpdtrp0(xN, W0)))))), rewrite((aElementOf0(W0, szNzAzT0) => (aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szNzAzT0)) & aSubsetOf0(sdtlpdtrp0(xN, W0), szNzAzT0) & isCountable0(sdtlpdtrp0(xN, W0)))) <=> ((~aElementOf0(W0, szNzAzT0)) | (aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szNzAzT0)) & aSubsetOf0(sdtlpdtrp0(xN, W0), szNzAzT0) & isCountable0(sdtlpdtrp0(xN, W0))))), ((aElementOf0(W0, szNzAzT0) => (((aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : (aElementOf0(W1, sdtlpdtrp0(xN, W0)) => aElementOf0(W1, szNzAzT0))) & aSubsetOf0(sdtlpdtrp0(xN, W0), szNzAzT0)) & isCountable0(sdtlpdtrp0(xN, W0)))) <=> ((~aElementOf0(W0, szNzAzT0)) | (aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szNzAzT0)) & aSubsetOf0(sdtlpdtrp0(xN, W0), szNzAzT0) & isCountable0(sdtlpdtrp0(xN, W0))))))),
% 253.46/163.32      inference(bind,[status(th)],[])).
% 253.46/163.32  tff(20,plain,
% 253.46/163.32      (![W0: $i] : (aElementOf0(W0, szNzAzT0) => (((aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : (aElementOf0(W1, sdtlpdtrp0(xN, W0)) => aElementOf0(W1, szNzAzT0))) & aSubsetOf0(sdtlpdtrp0(xN, W0), szNzAzT0)) & isCountable0(sdtlpdtrp0(xN, W0)))) <=> ![W0: $i] : ((~aElementOf0(W0, szNzAzT0)) | (aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szNzAzT0)) & aSubsetOf0(sdtlpdtrp0(xN, W0), szNzAzT0) & isCountable0(sdtlpdtrp0(xN, W0))))),
% 253.46/163.32      inference(quant_intro,[status(thm)],[19])).
% 253.46/163.32  tff(21,axiom,(![W0: $i] : (aElementOf0(W0, szNzAzT0) => (((aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : (aElementOf0(W1, sdtlpdtrp0(xN, W0)) => aElementOf0(W1, szNzAzT0))) & aSubsetOf0(sdtlpdtrp0(xN, W0), szNzAzT0)) & isCountable0(sdtlpdtrp0(xN, W0))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m__3671')).
% 253.46/163.32  tff(22,plain,
% 253.46/163.32      (![W0: $i] : ((~aElementOf0(W0, szNzAzT0)) | (aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szNzAzT0)) & aSubsetOf0(sdtlpdtrp0(xN, W0), szNzAzT0) & isCountable0(sdtlpdtrp0(xN, W0))))),
% 253.46/163.32      inference(modus_ponens,[status(thm)],[21, 20])).
% 253.46/163.32  tff(23,plain,
% 253.46/163.32      (![W0: $i] : ((~aElementOf0(W0, szNzAzT0)) | (aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szNzAzT0)) & aSubsetOf0(sdtlpdtrp0(xN, W0), szNzAzT0) & isCountable0(sdtlpdtrp0(xN, W0))))),
% 253.46/163.32      inference(modus_ponens,[status(thm)],[22, 18])).
% 253.46/163.32  tff(24,plain,
% 253.46/163.32      (![W0: $i] : ((~aElementOf0(W0, szDzozmdt0(xN))) | (aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szDzozmdt0(xN))) & aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN)) & isCountable0(sdtlpdtrp0(xN, W0))))),
% 253.46/163.32      inference(modus_ponens,[status(thm)],[23, 17])).
% 253.46/163.32  tff(25,plain,(
% 253.46/163.32      ![W0: $i] : ((~aElementOf0(W0, szDzozmdt0(xN))) | (aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szDzozmdt0(xN))) & aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN)) & isCountable0(sdtlpdtrp0(xN, W0))))),
% 253.46/163.32      inference(skolemize,[status(sab)],[24])).
% 253.46/163.32  tff(26,plain,
% 253.46/163.32      (![W0: $i] : ((~aElementOf0(W0, szDzozmdt0(xN))) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szDzozmdt0(xN)))) | (~isCountable0(sdtlpdtrp0(xN, W0))))))),
% 253.46/163.32      inference(modus_ponens,[status(thm)],[25, 15])).
% 253.46/163.32  tff(27,plain,
% 253.46/163.32      (![W0: $i] : ((~aElementOf0(W0, szDzozmdt0(xN))) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szDzozmdt0(xN)))) | (~isCountable0(sdtlpdtrp0(xN, W0))))))),
% 253.46/163.32      inference(modus_ponens,[status(thm)],[26, 13])).
% 253.46/163.32  tff(28,plain,
% 253.46/163.32      (![W0: $i] : ((~aElementOf0(W0, szDzozmdt0(xN))) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, W0))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szDzozmdt0(xN)))))))),
% 253.46/163.32      inference(modus_ponens,[status(thm)],[27, 8])).
% 253.46/163.32  tff(29,plain,
% 253.46/163.32      (((~![W0: $i] : ((~aElementOf0(W0, szDzozmdt0(xN))) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, W0))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szDzozmdt0(xN)))))))) | ((~aElementOf0(xn, szDzozmdt0(xN))) | (~((~aSet0(sdtlpdtrp0(xN, xn))) | (~aSubsetOf0(sdtlpdtrp0(xN, xn), szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, xn))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, xn))) | aElementOf0(W1, szDzozmdt0(xN)))))))) <=> ((~![W0: $i] : ((~aElementOf0(W0, szDzozmdt0(xN))) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, W0))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szDzozmdt0(xN)))))))) | (~aElementOf0(xn, szDzozmdt0(xN))) | (~((~aSet0(sdtlpdtrp0(xN, xn))) | (~aSubsetOf0(sdtlpdtrp0(xN, xn), szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, xn))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, xn))) | aElementOf0(W1, szDzozmdt0(xN)))))))),
% 253.46/163.33      inference(rewrite,[status(thm)],[])).
% 253.46/163.33  tff(30,plain,
% 253.46/163.33      ((~![W0: $i] : ((~aElementOf0(W0, szDzozmdt0(xN))) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, W0))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szDzozmdt0(xN)))))))) | ((~aElementOf0(xn, szDzozmdt0(xN))) | (~((~aSet0(sdtlpdtrp0(xN, xn))) | (~aSubsetOf0(sdtlpdtrp0(xN, xn), szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, xn))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, xn))) | aElementOf0(W1, szDzozmdt0(xN)))))))),
% 253.46/163.33      inference(quant_inst,[status(thm)],[])).
% 253.46/163.33  tff(31,plain,
% 253.46/163.33      ((~![W0: $i] : ((~aElementOf0(W0, szDzozmdt0(xN))) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, W0))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szDzozmdt0(xN)))))))) | (~aElementOf0(xn, szDzozmdt0(xN))) | (~((~aSet0(sdtlpdtrp0(xN, xn))) | (~aSubsetOf0(sdtlpdtrp0(xN, xn), szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, xn))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, xn))) | aElementOf0(W1, szDzozmdt0(xN))))))),
% 253.46/163.33      inference(modus_ponens,[status(thm)],[30, 29])).
% 253.46/163.33  tff(32,plain,
% 253.46/163.33      (~((~aSet0(sdtlpdtrp0(xN, xn))) | (~aSubsetOf0(sdtlpdtrp0(xN, xn), szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, xn))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, xn))) | aElementOf0(W1, szDzozmdt0(xN)))))),
% 253.46/163.33      inference(unit_resolution,[status(thm)],[31, 28, 6])).
% 253.46/163.33  tff(33,plain,
% 253.46/163.33      (((~aSet0(sdtlpdtrp0(xN, xn))) | (~aSubsetOf0(sdtlpdtrp0(xN, xn), szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, xn))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, xn))) | aElementOf0(W1, szDzozmdt0(xN))))) | isCountable0(sdtlpdtrp0(xN, xn))),
% 253.46/163.33      inference(tautology,[status(thm)],[])).
% 253.46/163.33  tff(34,plain,
% 253.46/163.33      (isCountable0(sdtlpdtrp0(xN, xn))),
% 253.46/163.33      inference(unit_resolution,[status(thm)],[33, 32])).
% 253.46/163.33  tff(35,plain,
% 253.46/163.33      (((~aSet0(sdtlpdtrp0(xN, xn))) | (~aSubsetOf0(sdtlpdtrp0(xN, xn), szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, xn))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, xn))) | aElementOf0(W1, szDzozmdt0(xN))))) | aSubsetOf0(sdtlpdtrp0(xN, xn), szDzozmdt0(xN))),
% 253.46/163.33      inference(tautology,[status(thm)],[])).
% 253.46/163.33  tff(36,plain,
% 253.46/163.33      (aSubsetOf0(sdtlpdtrp0(xN, xn), szDzozmdt0(xN))),
% 253.46/163.33      inference(unit_resolution,[status(thm)],[35, 32])).
% 253.46/163.33  tff(37,plain,
% 253.46/163.33      ((aSubsetOf0(sdtlpdtrp0(xN, xn), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, xn))) | (~((~aElementOf0(tptp_fun_W1_29(xn), sdtlpdtrp0(xN, xn))) | aElementOf0(tptp_fun_W1_29(xn), szDzozmdt0(xN))))))) | (~aSubsetOf0(sdtlpdtrp0(xN, xn), szDzozmdt0(xN)))),
% 253.46/163.33      inference(tautology,[status(thm)],[])).
% 253.46/163.33  tff(38,plain,
% 253.46/163.33      (aSubsetOf0(sdtlpdtrp0(xN, xn), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, xn))) | (~((~aElementOf0(tptp_fun_W1_29(xn), sdtlpdtrp0(xN, xn))) | aElementOf0(tptp_fun_W1_29(xn), szDzozmdt0(xN))))))),
% 253.46/163.33      inference(unit_resolution,[status(thm)],[37, 36])).
% 253.46/163.33  tff(39,plain,
% 253.46/163.33      (^[W0: $i] : trans(monotonicity(rewrite((~((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))))) <=> (~((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))))))), rewrite((~(aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(tptp_fun_W1_29(W0), sdtlpdtrp0(xN, W0))) | aElementOf0(tptp_fun_W1_29(W0), szDzozmdt0(xN)))))))) <=> (~(aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(tptp_fun_W1_29(W0), sdtlpdtrp0(xN, W0))) | aElementOf0(tptp_fun_W1_29(W0), szDzozmdt0(xN))))))))), (((~aElementOf0(W0, szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))))) | (~(aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(tptp_fun_W1_29(W0), sdtlpdtrp0(xN, W0))) | aElementOf0(tptp_fun_W1_29(W0), szDzozmdt0(xN))))))))) <=> ((~aElementOf0(W0, szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))))))) | (~(aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(tptp_fun_W1_29(W0), sdtlpdtrp0(xN, W0))) | aElementOf0(tptp_fun_W1_29(W0), szDzozmdt0(xN))))))))))), rewrite(((~aElementOf0(W0, szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))))))) | (~(aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(tptp_fun_W1_29(W0), sdtlpdtrp0(xN, W0))) | aElementOf0(tptp_fun_W1_29(W0), szDzozmdt0(xN))))))))) <=> ((~aElementOf0(W0, szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, W0))) | (~(aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(tptp_fun_W1_29(W0), sdtlpdtrp0(xN, W0))) | aElementOf0(tptp_fun_W1_29(W0), szDzozmdt0(xN)))))))) | (~((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))))))))), (((~aElementOf0(W0, szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))))) | (~(aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(tptp_fun_W1_29(W0), sdtlpdtrp0(xN, W0))) | aElementOf0(tptp_fun_W1_29(W0), szDzozmdt0(xN))))))))) <=> ((~aElementOf0(W0, szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, W0))) | (~(aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(tptp_fun_W1_29(W0), sdtlpdtrp0(xN, W0))) | aElementOf0(tptp_fun_W1_29(W0), szDzozmdt0(xN)))))))) | (~((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))))))))))),
% 253.46/163.33      inference(bind,[status(th)],[])).
% 253.46/163.33  tff(40,plain,
% 253.46/163.33      (![W0: $i] : ((~aElementOf0(W0, szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))))) | (~(aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(tptp_fun_W1_29(W0), sdtlpdtrp0(xN, W0))) | aElementOf0(tptp_fun_W1_29(W0), szDzozmdt0(xN))))))))) <=> ![W0: $i] : ((~aElementOf0(W0, szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, W0))) | (~(aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(tptp_fun_W1_29(W0), sdtlpdtrp0(xN, W0))) | aElementOf0(tptp_fun_W1_29(W0), szDzozmdt0(xN)))))))) | (~((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))))))))),
% 253.46/163.33      inference(quant_intro,[status(thm)],[39])).
% 253.46/163.33  tff(41,plain,
% 253.46/163.33      (^[W0: $i] : refl(((~aElementOf0(W0, szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))))) | (~(aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(tptp_fun_W1_29(W0), sdtlpdtrp0(xN, W0))) | aElementOf0(tptp_fun_W1_29(W0), szDzozmdt0(xN))))))))) <=> ((~aElementOf0(W0, szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))))) | (~(aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(tptp_fun_W1_29(W0), sdtlpdtrp0(xN, W0))) | aElementOf0(tptp_fun_W1_29(W0), szDzozmdt0(xN))))))))))),
% 253.56/163.34      inference(bind,[status(th)],[])).
% 253.56/163.34  tff(42,plain,
% 253.56/163.34      (![W0: $i] : ((~aElementOf0(W0, szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))))) | (~(aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(tptp_fun_W1_29(W0), sdtlpdtrp0(xN, W0))) | aElementOf0(tptp_fun_W1_29(W0), szDzozmdt0(xN))))))))) <=> ![W0: $i] : ((~aElementOf0(W0, szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))))) | (~(aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(tptp_fun_W1_29(W0), sdtlpdtrp0(xN, W0))) | aElementOf0(tptp_fun_W1_29(W0), szDzozmdt0(xN)))))))))),
% 253.56/163.34      inference(quant_intro,[status(thm)],[41])).
% 253.56/163.34  tff(43,plain,
% 253.56/163.34      (^[W0: $i] : rewrite(((~aElementOf0(W0, szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))))) | (~(aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(tptp_fun_W1_29(W0), sdtlpdtrp0(xN, W0))) | aElementOf0(tptp_fun_W1_29(W0), szDzozmdt0(xN))))))))) <=> ((~aElementOf0(W0, szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))))) | (~(aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(tptp_fun_W1_29(W0), sdtlpdtrp0(xN, W0))) | aElementOf0(tptp_fun_W1_29(W0), szDzozmdt0(xN))))))))))),
% 253.56/163.34      inference(bind,[status(th)],[])).
% 253.56/163.34  tff(44,plain,
% 253.56/163.34      (![W0: $i] : ((~aElementOf0(W0, szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))))) | (~(aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(tptp_fun_W1_29(W0), sdtlpdtrp0(xN, W0))) | aElementOf0(tptp_fun_W1_29(W0), szDzozmdt0(xN))))))))) <=> ![W0: $i] : ((~aElementOf0(W0, szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))))) | (~(aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(tptp_fun_W1_29(W0), sdtlpdtrp0(xN, W0))) | aElementOf0(tptp_fun_W1_29(W0), szDzozmdt0(xN)))))))))),
% 253.56/163.34      inference(quant_intro,[status(thm)],[43])).
% 253.56/163.34  tff(45,plain,
% 253.56/163.34      (![W0: $i] : ((~aElementOf0(W0, szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))))) | (~(aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(tptp_fun_W1_29(W0), sdtlpdtrp0(xN, W0))) | aElementOf0(tptp_fun_W1_29(W0), szDzozmdt0(xN))))))))) <=> ![W0: $i] : ((~aElementOf0(W0, szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))))) | (~(aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(tptp_fun_W1_29(W0), sdtlpdtrp0(xN, W0))) | aElementOf0(tptp_fun_W1_29(W0), szDzozmdt0(xN)))))))))),
% 253.56/163.34      inference(transitivity,[status(thm)],[44, 42])).
% 253.56/163.34  tff(46,plain,
% 253.56/163.34      (^[W0: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[W1: $i] : rewrite((aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))) <=> (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))))), (![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))) <=> ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))))), ((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0))) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) <=> (aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0))) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))))), rewrite((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0))) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) <=> (~((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0))))))), ((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0))) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) <=> (~((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))))))), rewrite(((~aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN))) & ((~aSet0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(tptp_fun_W1_29(W0), sdtlpdtrp0(xN, W0))) | aElementOf0(tptp_fun_W1_29(W0), szDzozmdt0(xN)))))) <=> (~(aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(tptp_fun_W1_29(W0), sdtlpdtrp0(xN, W0))) | aElementOf0(tptp_fun_W1_29(W0), szDzozmdt0(xN))))))))), (((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0))) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~aElementOf0(W0, szDzozmdt0(xN))) | ((~aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN))) & ((~aSet0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(tptp_fun_W1_29(W0), sdtlpdtrp0(xN, W0))) | aElementOf0(tptp_fun_W1_29(W0), szDzozmdt0(xN)))))) | (~isCountable0(sdtlpdtrp0(xN, W0)))) <=> ((~((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))))) | (~aElementOf0(W0, szDzozmdt0(xN))) | (~(aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(tptp_fun_W1_29(W0), sdtlpdtrp0(xN, W0))) | aElementOf0(tptp_fun_W1_29(W0), szDzozmdt0(xN)))))))) | (~isCountable0(sdtlpdtrp0(xN, W0)))))), rewrite(((~((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))))) | (~aElementOf0(W0, szDzozmdt0(xN))) | (~(aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(tptp_fun_W1_29(W0), sdtlpdtrp0(xN, W0))) | aElementOf0(tptp_fun_W1_29(W0), szDzozmdt0(xN)))))))) | (~isCountable0(sdtlpdtrp0(xN, W0)))) <=> ((~aElementOf0(W0, szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))))) | (~(aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(tptp_fun_W1_29(W0), sdtlpdtrp0(xN, W0))) | aElementOf0(tptp_fun_W1_29(W0), szDzozmdt0(xN)))))))))), (((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0))) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~aElementOf0(W0, szDzozmdt0(xN))) | ((~aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN))) & ((~aSet0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(tptp_fun_W1_29(W0), sdtlpdtrp0(xN, W0))) | aElementOf0(tptp_fun_W1_29(W0), szDzozmdt0(xN)))))) | (~isCountable0(sdtlpdtrp0(xN, W0)))) <=> ((~aElementOf0(W0, szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))))) | (~(aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(tptp_fun_W1_29(W0), sdtlpdtrp0(xN, W0))) | aElementOf0(tptp_fun_W1_29(W0), szDzozmdt0(xN)))))))))))),
% 253.56/163.35      inference(bind,[status(th)],[])).
% 253.56/163.35  tff(47,plain,
% 253.56/163.35      (![W0: $i] : ((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0))) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~aElementOf0(W0, szDzozmdt0(xN))) | ((~aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN))) & ((~aSet0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(tptp_fun_W1_29(W0), sdtlpdtrp0(xN, W0))) | aElementOf0(tptp_fun_W1_29(W0), szDzozmdt0(xN)))))) | (~isCountable0(sdtlpdtrp0(xN, W0)))) <=> ![W0: $i] : ((~aElementOf0(W0, szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))))) | (~(aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(tptp_fun_W1_29(W0), sdtlpdtrp0(xN, W0))) | aElementOf0(tptp_fun_W1_29(W0), szDzozmdt0(xN)))))))))),
% 253.56/163.35      inference(quant_intro,[status(thm)],[46])).
% 253.56/163.35  tff(48,plain,
% 253.56/163.35      (^[W0: $i] : trans(monotonicity(rewrite((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0))) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) <=> (aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0))) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0))))), rewrite((((~aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN))) & ((~aSet0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(tptp_fun_W1_29(W0), sdtlpdtrp0(xN, W0))) | aElementOf0(tptp_fun_W1_29(W0), szDzozmdt0(xN)))))) | (~isCountable0(sdtlpdtrp0(xN, W0)))) <=> (((~aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN))) & ((~aSet0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(tptp_fun_W1_29(W0), sdtlpdtrp0(xN, W0))) | aElementOf0(tptp_fun_W1_29(W0), szDzozmdt0(xN)))))) | (~isCountable0(sdtlpdtrp0(xN, W0))))), (((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0))) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~aElementOf0(W0, szDzozmdt0(xN))) | (((~aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN))) & ((~aSet0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(tptp_fun_W1_29(W0), sdtlpdtrp0(xN, W0))) | aElementOf0(tptp_fun_W1_29(W0), szDzozmdt0(xN)))))) | (~isCountable0(sdtlpdtrp0(xN, W0))))) <=> ((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0))) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~aElementOf0(W0, szDzozmdt0(xN))) | (((~aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN))) & ((~aSet0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(tptp_fun_W1_29(W0), sdtlpdtrp0(xN, W0))) | aElementOf0(tptp_fun_W1_29(W0), szDzozmdt0(xN)))))) | (~isCountable0(sdtlpdtrp0(xN, W0))))))), rewrite(((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0))) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~aElementOf0(W0, szDzozmdt0(xN))) | (((~aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN))) & ((~aSet0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(tptp_fun_W1_29(W0), sdtlpdtrp0(xN, W0))) | aElementOf0(tptp_fun_W1_29(W0), szDzozmdt0(xN)))))) | (~isCountable0(sdtlpdtrp0(xN, W0))))) <=> ((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0))) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~aElementOf0(W0, szDzozmdt0(xN))) | ((~aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN))) & ((~aSet0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(tptp_fun_W1_29(W0), sdtlpdtrp0(xN, W0))) | aElementOf0(tptp_fun_W1_29(W0), szDzozmdt0(xN)))))) | (~isCountable0(sdtlpdtrp0(xN, W0))))), (((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0))) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~aElementOf0(W0, szDzozmdt0(xN))) | (((~aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN))) & ((~aSet0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(tptp_fun_W1_29(W0), sdtlpdtrp0(xN, W0))) | aElementOf0(tptp_fun_W1_29(W0), szDzozmdt0(xN)))))) | (~isCountable0(sdtlpdtrp0(xN, W0))))) <=> ((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0))) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~aElementOf0(W0, szDzozmdt0(xN))) | ((~aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN))) & ((~aSet0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(tptp_fun_W1_29(W0), sdtlpdtrp0(xN, W0))) | aElementOf0(tptp_fun_W1_29(W0), szDzozmdt0(xN)))))) | (~isCountable0(sdtlpdtrp0(xN, W0))))))),
% 253.56/163.36      inference(bind,[status(th)],[])).
% 253.56/163.36  tff(49,plain,
% 253.56/163.36      (![W0: $i] : ((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0))) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~aElementOf0(W0, szDzozmdt0(xN))) | (((~aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN))) & ((~aSet0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(tptp_fun_W1_29(W0), sdtlpdtrp0(xN, W0))) | aElementOf0(tptp_fun_W1_29(W0), szDzozmdt0(xN)))))) | (~isCountable0(sdtlpdtrp0(xN, W0))))) <=> ![W0: $i] : ((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0))) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~aElementOf0(W0, szDzozmdt0(xN))) | ((~aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN))) & ((~aSet0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(tptp_fun_W1_29(W0), sdtlpdtrp0(xN, W0))) | aElementOf0(tptp_fun_W1_29(W0), szDzozmdt0(xN)))))) | (~isCountable0(sdtlpdtrp0(xN, W0))))),
% 253.56/163.36      inference(quant_intro,[status(thm)],[48])).
% 253.56/163.36  tff(50,plain,
% 253.56/163.36      (^[W0: $i] : trans(monotonicity(rewrite((~aElementOf0(W0, szNzAzT0)) <=> (~aElementOf0(W0, szDzozmdt0(xN)))), rewrite((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0))) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) <=> (aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0))) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0))))), rewrite((~((aSubsetOf0(sdtlpdtrp0(xN, W0), szNzAzT0) | (aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szNzAzT0)))) & isCountable0(sdtlpdtrp0(xN, W0)))) <=> (~((aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN)) | (aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szDzozmdt0(xN))))) & isCountable0(sdtlpdtrp0(xN, W0))))), (((~aElementOf0(W0, szNzAzT0)) | (aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0))) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~((aSubsetOf0(sdtlpdtrp0(xN, W0), szNzAzT0) | (aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szNzAzT0)))) & isCountable0(sdtlpdtrp0(xN, W0))))) <=> ((~aElementOf0(W0, szDzozmdt0(xN))) | (aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0))) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~((aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN)) | (aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szDzozmdt0(xN))))) & isCountable0(sdtlpdtrp0(xN, W0))))))), rewrite(((~aElementOf0(W0, szDzozmdt0(xN))) | (aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0))) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~((aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN)) | (aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szDzozmdt0(xN))))) & isCountable0(sdtlpdtrp0(xN, W0))))) <=> ((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0))) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~aElementOf0(W0, szDzozmdt0(xN))) | (~((aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN)) | (aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szDzozmdt0(xN))))) & isCountable0(sdtlpdtrp0(xN, W0)))))), (((~aElementOf0(W0, szNzAzT0)) | (aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0))) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~((aSubsetOf0(sdtlpdtrp0(xN, W0), szNzAzT0) | (aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szNzAzT0)))) & isCountable0(sdtlpdtrp0(xN, W0))))) <=> ((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0))) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~aElementOf0(W0, szDzozmdt0(xN))) | (~((aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN)) | (aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szDzozmdt0(xN))))) & isCountable0(sdtlpdtrp0(xN, W0)))))))),
% 253.58/163.36      inference(bind,[status(th)],[])).
% 253.58/163.36  tff(51,plain,
% 253.58/163.36      (![W0: $i] : ((~aElementOf0(W0, szNzAzT0)) | (aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0))) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~((aSubsetOf0(sdtlpdtrp0(xN, W0), szNzAzT0) | (aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szNzAzT0)))) & isCountable0(sdtlpdtrp0(xN, W0))))) <=> ![W0: $i] : ((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0))) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~aElementOf0(W0, szDzozmdt0(xN))) | (~((aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN)) | (aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szDzozmdt0(xN))))) & isCountable0(sdtlpdtrp0(xN, W0)))))),
% 253.58/163.37      inference(quant_intro,[status(thm)],[50])).
% 253.58/163.37  tff(52,plain,
% 253.58/163.37      (![W0: $i] : ((~aElementOf0(W0, szNzAzT0)) | (aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0))) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~((aSubsetOf0(sdtlpdtrp0(xN, W0), szNzAzT0) | (aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szNzAzT0)))) & isCountable0(sdtlpdtrp0(xN, W0))))) <=> ![W0: $i] : ((~aElementOf0(W0, szNzAzT0)) | (aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0))) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~((aSubsetOf0(sdtlpdtrp0(xN, W0), szNzAzT0) | (aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szNzAzT0)))) & isCountable0(sdtlpdtrp0(xN, W0)))))),
% 253.58/163.37      inference(rewrite,[status(thm)],[])).
% 253.58/163.37  tff(53,plain,
% 253.58/163.37      (^[W0: $i] : trans(monotonicity(trans(monotonicity(rewrite((((aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : (aElementOf0(W1, sdtlpdtrp0(xN, W0)) => aElementOf0(W1, szNzAzT0))) | aSubsetOf0(sdtlpdtrp0(xN, W0), szNzAzT0)) & isCountable0(sdtlpdtrp0(xN, W0))) <=> ((aSubsetOf0(sdtlpdtrp0(xN, W0), szNzAzT0) | (aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szNzAzT0)))) & isCountable0(sdtlpdtrp0(xN, W0)))), trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : (aElementOf0(W1, sdtlpdtrp0(xN, W0)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) <=> (aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)))), (((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : (aElementOf0(W1, sdtlpdtrp0(xN, W0)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) <=> ((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))))), rewrite(((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) <=> (aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))))), (((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : (aElementOf0(W1, sdtlpdtrp0(xN, W0)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) <=> (aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))))), quant_intro(proof_bind(^[W1: $i] : rewrite((aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> ((aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0))) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))) <=> (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))))), (![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> ((aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0))) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))) <=> ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))))), ((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : (aElementOf0(W1, sdtlpdtrp0(xN, W0)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> ((aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0))) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))) <=> ((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))))), rewrite(((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))) <=> (aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))))), ((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : (aElementOf0(W1, sdtlpdtrp0(xN, W0)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> ((aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0))) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))) <=> (aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))))), (((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : (aElementOf0(W1, sdtlpdtrp0(xN, W0)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> ((aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0))) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) <=> ((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))))), rewrite(((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) <=> (aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0))))), (((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : (aElementOf0(W1, sdtlpdtrp0(xN, W0)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> ((aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0))) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) <=> (aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))))), quant_intro(proof_bind(^[W1: $i] : rewrite((aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0))) => aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) <=> ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))))), (![W1: $i] : (aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0))) => aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) <=> ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))))), ((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : (aElementOf0(W1, sdtlpdtrp0(xN, W0)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> ((aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0))) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) & ![W1: $i] : (aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0))) => aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))))) <=> ((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))))))), rewrite(((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))))) <=> (aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0))) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))))), ((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : (aElementOf0(W1, sdtlpdtrp0(xN, W0)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> ((aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0))) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) & ![W1: $i] : (aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0))) => aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))))) <=> (aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0))) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))))))), (((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : (aElementOf0(W1, sdtlpdtrp0(xN, W0)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> ((aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0))) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) & ![W1: $i] : (aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0))) => aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) <=> ((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0))) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))))), rewrite(((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0))) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) <=> (aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0))) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))))), (((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : (aElementOf0(W1, sdtlpdtrp0(xN, W0)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> ((aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0))) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) & ![W1: $i] : (aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0))) => aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) <=> (aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0))) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))))), ((((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : (aElementOf0(W1, sdtlpdtrp0(xN, W0)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> ((aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0))) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) & ![W1: $i] : (aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0))) => aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) <=> ((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0))) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))))), rewrite(((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0))) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) <=> (aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0))) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0))))), ((((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : (aElementOf0(W1, sdtlpdtrp0(xN, W0)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> ((aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0))) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) & ![W1: $i] : (aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0))) => aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) <=> (aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0))) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))))), (((((aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : (aElementOf0(W1, sdtlpdtrp0(xN, W0)) => aElementOf0(W1, szNzAzT0))) | aSubsetOf0(sdtlpdtrp0(xN, W0), szNzAzT0)) & isCountable0(sdtlpdtrp0(xN, W0))) => (((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : (aElementOf0(W1, sdtlpdtrp0(xN, W0)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> ((aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0))) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) & ![W1: $i] : (aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0))) => aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0))))) <=> (((aSubsetOf0(sdtlpdtrp0(xN, W0), szNzAzT0) | (aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szNzAzT0)))) & isCountable0(sdtlpdtrp0(xN, W0))) => (aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0))) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0))))))), rewrite((((aSubsetOf0(sdtlpdtrp0(xN, W0), szNzAzT0) | (aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szNzAzT0)))) & isCountable0(sdtlpdtrp0(xN, W0))) => (aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0))) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0))))) <=> ((~((aSubsetOf0(sdtlpdtrp0(xN, W0), szNzAzT0) | (aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szNzAzT0)))) & isCountable0(sdtlpdtrp0(xN, W0)))) | (aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0))) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))))), (((((aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : (aElementOf0(W1, sdtlpdtrp0(xN, W0)) => aElementOf0(W1, szNzAzT0))) | aSubsetOf0(sdtlpdtrp0(xN, W0), szNzAzT0)) & isCountable0(sdtlpdtrp0(xN, W0))) => (((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : (aElementOf0(W1, sdtlpdtrp0(xN, W0)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> ((aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0))) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) & ![W1: $i] : (aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0))) => aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0))))) <=> ((~((aSubsetOf0(sdtlpdtrp0(xN, W0), szNzAzT0) | (aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szNzAzT0)))) & isCountable0(sdtlpdtrp0(xN, W0)))) | (aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0))) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0))))))), ((aElementOf0(W0, szNzAzT0) => ((((aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : (aElementOf0(W1, sdtlpdtrp0(xN, W0)) => aElementOf0(W1, szNzAzT0))) | aSubsetOf0(sdtlpdtrp0(xN, W0), szNzAzT0)) & isCountable0(sdtlpdtrp0(xN, W0))) => (((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : (aElementOf0(W1, sdtlpdtrp0(xN, W0)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> ((aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0))) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) & ![W1: $i] : (aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0))) => aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))))) <=> (aElementOf0(W0, szNzAzT0) => ((~((aSubsetOf0(sdtlpdtrp0(xN, W0), szNzAzT0) | (aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szNzAzT0)))) & isCountable0(sdtlpdtrp0(xN, W0)))) | (aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0))) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))))))), rewrite((aElementOf0(W0, szNzAzT0) => ((~((aSubsetOf0(sdtlpdtrp0(xN, W0), szNzAzT0) | (aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szNzAzT0)))) & isCountable0(sdtlpdtrp0(xN, W0)))) | (aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0))) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))))) <=> ((~aElementOf0(W0, szNzAzT0)) | (aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0))) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~((aSubsetOf0(sdtlpdtrp0(xN, W0), szNzAzT0) | (aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szNzAzT0)))) & isCountable0(sdtlpdtrp0(xN, W0)))))), ((aElementOf0(W0, szNzAzT0) => ((((aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : (aElementOf0(W1, sdtlpdtrp0(xN, W0)) => aElementOf0(W1, szNzAzT0))) | aSubsetOf0(sdtlpdtrp0(xN, W0), szNzAzT0)) & isCountable0(sdtlpdtrp0(xN, W0))) => (((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : (aElementOf0(W1, sdtlpdtrp0(xN, W0)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> ((aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0))) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) & ![W1: $i] : (aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0))) => aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))))) <=> ((~aElementOf0(W0, szNzAzT0)) | (aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0))) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~((aSubsetOf0(sdtlpdtrp0(xN, W0), szNzAzT0) | (aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szNzAzT0)))) & isCountable0(sdtlpdtrp0(xN, W0)))))))),
% 253.58/163.39      inference(bind,[status(th)],[])).
% 253.58/163.39  tff(54,plain,
% 253.58/163.39      (![W0: $i] : (aElementOf0(W0, szNzAzT0) => ((((aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : (aElementOf0(W1, sdtlpdtrp0(xN, W0)) => aElementOf0(W1, szNzAzT0))) | aSubsetOf0(sdtlpdtrp0(xN, W0), szNzAzT0)) & isCountable0(sdtlpdtrp0(xN, W0))) => (((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : (aElementOf0(W1, sdtlpdtrp0(xN, W0)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> ((aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0))) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) & ![W1: $i] : (aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0))) => aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))))) <=> ![W0: $i] : ((~aElementOf0(W0, szNzAzT0)) | (aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0))) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~((aSubsetOf0(sdtlpdtrp0(xN, W0), szNzAzT0) | (aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szNzAzT0)))) & isCountable0(sdtlpdtrp0(xN, W0)))))),
% 253.58/163.39      inference(quant_intro,[status(thm)],[53])).
% 253.58/163.39  tff(55,axiom,(((aFunction0(xN) & (szDzozmdt0(xN) = szNzAzT0)) & (sdtlpdtrp0(xN, sz00) = xS)) & ![W0: $i] : (aElementOf0(W0, szNzAzT0) => ((((aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : (aElementOf0(W1, sdtlpdtrp0(xN, W0)) => aElementOf0(W1, szNzAzT0))) | aSubsetOf0(sdtlpdtrp0(xN, W0), szNzAzT0)) & isCountable0(sdtlpdtrp0(xN, W0))) => (((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : (aElementOf0(W1, sdtlpdtrp0(xN, W0)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> ((aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0))) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) & ![W1: $i] : (aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0))) => aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m__3623')).
% 253.58/163.39  tff(56,plain,
% 253.58/163.39      (![W0: $i] : (aElementOf0(W0, szNzAzT0) => ((((aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : (aElementOf0(W1, sdtlpdtrp0(xN, W0)) => aElementOf0(W1, szNzAzT0))) | aSubsetOf0(sdtlpdtrp0(xN, W0), szNzAzT0)) & isCountable0(sdtlpdtrp0(xN, W0))) => (((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : (aElementOf0(W1, sdtlpdtrp0(xN, W0)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> ((aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0))) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) & ![W1: $i] : (aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0))) => aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0))))))),
% 253.58/163.39      inference(and_elim,[status(thm)],[55])).
% 253.58/163.39  tff(57,plain,
% 253.58/163.39      (![W0: $i] : ((~aElementOf0(W0, szNzAzT0)) | (aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0))) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~((aSubsetOf0(sdtlpdtrp0(xN, W0), szNzAzT0) | (aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szNzAzT0)))) & isCountable0(sdtlpdtrp0(xN, W0)))))),
% 253.58/163.39      inference(modus_ponens,[status(thm)],[56, 54])).
% 253.58/163.39  tff(58,plain,
% 253.58/163.39      (![W0: $i] : ((~aElementOf0(W0, szNzAzT0)) | (aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0))) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~((aSubsetOf0(sdtlpdtrp0(xN, W0), szNzAzT0) | (aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szNzAzT0)))) & isCountable0(sdtlpdtrp0(xN, W0)))))),
% 253.58/163.39      inference(modus_ponens,[status(thm)],[57, 52])).
% 253.58/163.39  tff(59,plain,
% 253.58/163.39      (![W0: $i] : ((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0))) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~aElementOf0(W0, szDzozmdt0(xN))) | (~((aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN)) | (aSet0(sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szDzozmdt0(xN))))) & isCountable0(sdtlpdtrp0(xN, W0)))))),
% 253.58/163.40      inference(modus_ponens,[status(thm)],[58, 51])).
% 253.58/163.40  tff(60,plain,(
% 253.58/163.40      ![W0: $i] : ((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0))) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~aElementOf0(W0, szDzozmdt0(xN))) | (((~aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN))) & ((~aSet0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(tptp_fun_W1_29(W0), sdtlpdtrp0(xN, W0))) | aElementOf0(tptp_fun_W1_29(W0), szDzozmdt0(xN)))))) | (~isCountable0(sdtlpdtrp0(xN, W0)))))),
% 253.58/163.40      inference(skolemize,[status(sab)],[59])).
% 253.58/163.40  tff(61,plain,
% 253.58/163.40      (![W0: $i] : ((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0)) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (aElement0(W1) & aElementOf0(W1, sdtlpdtrp0(xN, W0)) & (~(W1 = szmzizndt0(sdtlpdtrp0(xN, W0)))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0))) & ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~aElementOf0(W0, szDzozmdt0(xN))) | ((~aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN))) & ((~aSet0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(tptp_fun_W1_29(W0), sdtlpdtrp0(xN, W0))) | aElementOf0(tptp_fun_W1_29(W0), szDzozmdt0(xN)))))) | (~isCountable0(sdtlpdtrp0(xN, W0))))),
% 253.58/163.40      inference(modus_ponens,[status(thm)],[60, 49])).
% 253.58/163.40  tff(62,plain,
% 253.58/163.40      (![W0: $i] : ((~aElementOf0(W0, szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))))) | (~(aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(tptp_fun_W1_29(W0), sdtlpdtrp0(xN, W0))) | aElementOf0(tptp_fun_W1_29(W0), szDzozmdt0(xN)))))))))),
% 253.58/163.40      inference(modus_ponens,[status(thm)],[61, 47])).
% 253.58/163.40  tff(63,plain,
% 253.58/163.40      (![W0: $i] : ((~aElementOf0(W0, szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))))) | (~(aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(tptp_fun_W1_29(W0), sdtlpdtrp0(xN, W0))) | aElementOf0(tptp_fun_W1_29(W0), szDzozmdt0(xN)))))))))),
% 253.58/163.40      inference(modus_ponens,[status(thm)],[62, 45])).
% 253.58/163.40  tff(64,plain,
% 253.58/163.40      (![W0: $i] : ((~aElementOf0(W0, szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, W0))) | (~(aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(tptp_fun_W1_29(W0), sdtlpdtrp0(xN, W0))) | aElementOf0(tptp_fun_W1_29(W0), szDzozmdt0(xN)))))))) | (~((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))))))))),
% 253.58/163.40      inference(modus_ponens,[status(thm)],[63, 40])).
% 253.58/163.40  tff(65,plain,
% 253.58/163.40      (((~![W0: $i] : ((~aElementOf0(W0, szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, W0))) | (~(aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(tptp_fun_W1_29(W0), sdtlpdtrp0(xN, W0))) | aElementOf0(tptp_fun_W1_29(W0), szDzozmdt0(xN)))))))) | (~((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))))))))) | ((~aElementOf0(xn, szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, xn))) | (~(aSubsetOf0(sdtlpdtrp0(xN, xn), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, xn))) | (~((~aElementOf0(tptp_fun_W1_29(xn), sdtlpdtrp0(xN, xn))) | aElementOf0(tptp_fun_W1_29(xn), szDzozmdt0(xN)))))))) | (~((~aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xn)), sdtlpdtrp0(xN, xn))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(xn)), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xn)), W1))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, xn))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, xn))))))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))))))))) <=> ((~![W0: $i] : ((~aElementOf0(W0, szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, W0))) | (~(aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(tptp_fun_W1_29(W0), sdtlpdtrp0(xN, W0))) | aElementOf0(tptp_fun_W1_29(W0), szDzozmdt0(xN)))))))) | (~((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))))))))) | (~aElementOf0(xn, szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, xn))) | (~(aSubsetOf0(sdtlpdtrp0(xN, xn), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, xn))) | (~((~aElementOf0(tptp_fun_W1_29(xn), sdtlpdtrp0(xN, xn))) | aElementOf0(tptp_fun_W1_29(xn), szDzozmdt0(xN)))))))) | (~((~aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xn)), sdtlpdtrp0(xN, xn))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(xn)), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xn)), W1))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, xn))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, xn))))))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))))))))),
% 253.58/163.40      inference(rewrite,[status(thm)],[])).
% 253.58/163.40  tff(66,plain,
% 253.58/163.40      (((~aElementOf0(xn, szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, xn))) | (~(aSubsetOf0(sdtlpdtrp0(xN, xn), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, xn))) | (~((~aElementOf0(tptp_fun_W1_29(xn), sdtlpdtrp0(xN, xn))) | aElementOf0(tptp_fun_W1_29(xn), szDzozmdt0(xN)))))))) | (~((~aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xn)), sdtlpdtrp0(xN, xn))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(xn)), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xn)), W1))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, xn))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, xn))))))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))))))) <=> ((~aElementOf0(xn, szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, xn))) | (~(aSubsetOf0(sdtlpdtrp0(xN, xn), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, xn))) | (~((~aElementOf0(tptp_fun_W1_29(xn), sdtlpdtrp0(xN, xn))) | aElementOf0(tptp_fun_W1_29(xn), szDzozmdt0(xN)))))))) | (~((~aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xn)), sdtlpdtrp0(xN, xn))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(xn)), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xn)), W1))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, xn))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, xn))))))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))))))))),
% 253.58/163.41      inference(rewrite,[status(thm)],[])).
% 253.58/163.41  tff(67,plain,
% 253.58/163.41      ((~((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xn)), sdtlpdtrp0(xN, xn))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(xn)), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xn)), W1))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, xn))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, xn))))))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))))))) <=> (~((~aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xn)), sdtlpdtrp0(xN, xn))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(xn)), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xn)), W1))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, xn))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, xn))))))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))))))),
% 253.58/163.41      inference(rewrite,[status(thm)],[])).
% 253.58/163.41  tff(68,plain,
% 253.58/163.41      ((~(aSubsetOf0(sdtlpdtrp0(xN, xn), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, xn))) | (~((~aElementOf0(tptp_fun_W1_29(xn), sdtlpdtrp0(xN, xn))) | aElementOf0(tptp_fun_W1_29(xn), szDzozmdt0(xN)))))))) <=> (~(aSubsetOf0(sdtlpdtrp0(xN, xn), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, xn))) | (~((~aElementOf0(tptp_fun_W1_29(xn), sdtlpdtrp0(xN, xn))) | aElementOf0(tptp_fun_W1_29(xn), szDzozmdt0(xN))))))))),
% 253.58/163.41      inference(rewrite,[status(thm)],[])).
% 253.58/163.41  tff(69,plain,
% 253.58/163.41      (((~aElementOf0(xn, szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, xn))) | (~(aSubsetOf0(sdtlpdtrp0(xN, xn), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, xn))) | (~((~aElementOf0(tptp_fun_W1_29(xn), sdtlpdtrp0(xN, xn))) | aElementOf0(tptp_fun_W1_29(xn), szDzozmdt0(xN)))))))) | (~((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xn)), sdtlpdtrp0(xN, xn))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(xn)), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xn)), W1))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, xn))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, xn))))))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))))))) <=> ((~aElementOf0(xn, szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, xn))) | (~(aSubsetOf0(sdtlpdtrp0(xN, xn), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, xn))) | (~((~aElementOf0(tptp_fun_W1_29(xn), sdtlpdtrp0(xN, xn))) | aElementOf0(tptp_fun_W1_29(xn), szDzozmdt0(xN)))))))) | (~((~aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xn)), sdtlpdtrp0(xN, xn))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(xn)), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xn)), W1))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, xn))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, xn))))))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))))))))),
% 253.58/163.41      inference(monotonicity,[status(thm)],[68, 67])).
% 253.58/163.41  tff(70,plain,
% 253.58/163.41      (((~aElementOf0(xn, szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, xn))) | (~(aSubsetOf0(sdtlpdtrp0(xN, xn), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, xn))) | (~((~aElementOf0(tptp_fun_W1_29(xn), sdtlpdtrp0(xN, xn))) | aElementOf0(tptp_fun_W1_29(xn), szDzozmdt0(xN)))))))) | (~((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xn)), sdtlpdtrp0(xN, xn))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(xn)), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xn)), W1))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, xn))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, xn))))))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))))))) <=> ((~aElementOf0(xn, szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, xn))) | (~(aSubsetOf0(sdtlpdtrp0(xN, xn), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, xn))) | (~((~aElementOf0(tptp_fun_W1_29(xn), sdtlpdtrp0(xN, xn))) | aElementOf0(tptp_fun_W1_29(xn), szDzozmdt0(xN)))))))) | (~((~aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xn)), sdtlpdtrp0(xN, xn))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(xn)), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xn)), W1))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, xn))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, xn))))))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))))))))),
% 253.58/163.41      inference(transitivity,[status(thm)],[69, 66])).
% 253.58/163.41  tff(71,plain,
% 253.58/163.41      (((~![W0: $i] : ((~aElementOf0(W0, szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, W0))) | (~(aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(tptp_fun_W1_29(W0), sdtlpdtrp0(xN, W0))) | aElementOf0(tptp_fun_W1_29(W0), szDzozmdt0(xN)))))))) | (~((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))))))))) | ((~aElementOf0(xn, szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, xn))) | (~(aSubsetOf0(sdtlpdtrp0(xN, xn), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, xn))) | (~((~aElementOf0(tptp_fun_W1_29(xn), sdtlpdtrp0(xN, xn))) | aElementOf0(tptp_fun_W1_29(xn), szDzozmdt0(xN)))))))) | (~((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xn)), sdtlpdtrp0(xN, xn))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(xn)), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xn)), W1))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, xn))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, xn))))))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))))))))) <=> ((~![W0: $i] : ((~aElementOf0(W0, szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, W0))) | (~(aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(tptp_fun_W1_29(W0), sdtlpdtrp0(xN, W0))) | aElementOf0(tptp_fun_W1_29(W0), szDzozmdt0(xN)))))))) | (~((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))))))))) | ((~aElementOf0(xn, szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, xn))) | (~(aSubsetOf0(sdtlpdtrp0(xN, xn), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, xn))) | (~((~aElementOf0(tptp_fun_W1_29(xn), sdtlpdtrp0(xN, xn))) | aElementOf0(tptp_fun_W1_29(xn), szDzozmdt0(xN)))))))) | (~((~aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xn)), sdtlpdtrp0(xN, xn))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(xn)), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xn)), W1))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, xn))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, xn))))))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))))))))),
% 253.58/163.41      inference(monotonicity,[status(thm)],[70])).
% 253.58/163.41  tff(72,plain,
% 253.58/163.41      (((~![W0: $i] : ((~aElementOf0(W0, szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, W0))) | (~(aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(tptp_fun_W1_29(W0), sdtlpdtrp0(xN, W0))) | aElementOf0(tptp_fun_W1_29(W0), szDzozmdt0(xN)))))))) | (~((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))))))))) | ((~aElementOf0(xn, szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, xn))) | (~(aSubsetOf0(sdtlpdtrp0(xN, xn), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, xn))) | (~((~aElementOf0(tptp_fun_W1_29(xn), sdtlpdtrp0(xN, xn))) | aElementOf0(tptp_fun_W1_29(xn), szDzozmdt0(xN)))))))) | (~((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xn)), sdtlpdtrp0(xN, xn))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(xn)), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xn)), W1))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, xn))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, xn))))))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))))))))) <=> ((~![W0: $i] : ((~aElementOf0(W0, szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, W0))) | (~(aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(tptp_fun_W1_29(W0), sdtlpdtrp0(xN, W0))) | aElementOf0(tptp_fun_W1_29(W0), szDzozmdt0(xN)))))))) | (~((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))))))))) | (~aElementOf0(xn, szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, xn))) | (~(aSubsetOf0(sdtlpdtrp0(xN, xn), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, xn))) | (~((~aElementOf0(tptp_fun_W1_29(xn), sdtlpdtrp0(xN, xn))) | aElementOf0(tptp_fun_W1_29(xn), szDzozmdt0(xN)))))))) | (~((~aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xn)), sdtlpdtrp0(xN, xn))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(xn)), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xn)), W1))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, xn))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, xn))))))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))))))))),
% 253.58/163.42      inference(transitivity,[status(thm)],[71, 65])).
% 253.58/163.42  tff(73,plain,
% 253.58/163.42      ((~![W0: $i] : ((~aElementOf0(W0, szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, W0))) | (~(aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(tptp_fun_W1_29(W0), sdtlpdtrp0(xN, W0))) | aElementOf0(tptp_fun_W1_29(W0), szDzozmdt0(xN)))))))) | (~((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))))))))) | ((~aElementOf0(xn, szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, xn))) | (~(aSubsetOf0(sdtlpdtrp0(xN, xn), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, xn))) | (~((~aElementOf0(tptp_fun_W1_29(xn), sdtlpdtrp0(xN, xn))) | aElementOf0(tptp_fun_W1_29(xn), szDzozmdt0(xN)))))))) | (~((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xn)), sdtlpdtrp0(xN, xn))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(xn)), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xn)), W1))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, xn))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, xn))))))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))))))))),
% 253.58/163.42      inference(quant_inst,[status(thm)],[])).
% 253.58/163.42  tff(74,plain,
% 253.58/163.42      ((~![W0: $i] : ((~aElementOf0(W0, szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, W0))) | (~(aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(tptp_fun_W1_29(W0), sdtlpdtrp0(xN, W0))) | aElementOf0(tptp_fun_W1_29(W0), szDzozmdt0(xN)))))))) | (~((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))))))))) | (~aElementOf0(xn, szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, xn))) | (~(aSubsetOf0(sdtlpdtrp0(xN, xn), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, xn))) | (~((~aElementOf0(tptp_fun_W1_29(xn), sdtlpdtrp0(xN, xn))) | aElementOf0(tptp_fun_W1_29(xn), szDzozmdt0(xN)))))))) | (~((~aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xn)), sdtlpdtrp0(xN, xn))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(xn)), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xn)), W1))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, xn))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, xn))))))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))))))),
% 253.58/163.42      inference(modus_ponens,[status(thm)],[73, 72])).
% 253.58/163.42  tff(75,plain,
% 253.58/163.42      ((~isCountable0(sdtlpdtrp0(xN, xn))) | (~(aSubsetOf0(sdtlpdtrp0(xN, xn), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, xn))) | (~((~aElementOf0(tptp_fun_W1_29(xn), sdtlpdtrp0(xN, xn))) | aElementOf0(tptp_fun_W1_29(xn), szDzozmdt0(xN)))))))) | (~((~aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xn)), sdtlpdtrp0(xN, xn))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(xn)), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xn)), W1))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, xn))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, xn))))))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))))))),
% 253.58/163.42      inference(unit_resolution,[status(thm)],[74, 64, 6])).
% 253.58/163.42  tff(76,plain,
% 253.58/163.42      (~((~aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xn)), sdtlpdtrp0(xN, xn))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(xn)), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xn)), W1))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, xn))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, xn))))))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))))))),
% 253.58/163.42      inference(unit_resolution,[status(thm)],[75, 38, 34])).
% 253.58/163.42  tff(77,plain,
% 253.58/163.42      (((~aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xn)), sdtlpdtrp0(xN, xn))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(xn)), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xn)), W1))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, xn))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, xn))))))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))))) | aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))),
% 253.58/163.42      inference(tautology,[status(thm)],[])).
% 253.58/163.42  tff(78,plain,
% 253.58/163.42      (aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))),
% 253.58/163.42      inference(unit_resolution,[status(thm)],[77, 76])).
% 253.58/163.42  tff(79,plain,
% 253.58/163.42      (^[W0: $i] : rewrite(((~aSet0(W0)) | ![W1: $i] : (~((~((~aSubsetOf0(W1, W0)) | (~((~aSet0(W1)) | (~![W2: $i] : ((~aElementOf0(W2, W1)) | aElementOf0(W2, W0))))))) | (~(aSubsetOf0(W1, W0) | (~aSet0(W1)) | (~((~aElementOf0(tptp_fun_W2_1(W1, W0), W1)) | aElementOf0(tptp_fun_W2_1(W1, W0), W0)))))))) <=> ((~aSet0(W0)) | ![W1: $i] : (~((~(aSubsetOf0(W1, W0) | (~aSet0(W1)) | (~((~aElementOf0(tptp_fun_W2_1(W1, W0), W1)) | aElementOf0(tptp_fun_W2_1(W1, W0), W0))))) | (~((~aSubsetOf0(W1, W0)) | (~((~aSet0(W1)) | (~![W2: $i] : ((~aElementOf0(W2, W1)) | aElementOf0(W2, W0)))))))))))),
% 253.58/163.42      inference(bind,[status(th)],[])).
% 253.58/163.42  tff(80,plain,
% 253.58/163.42      (![W0: $i] : ((~aSet0(W0)) | ![W1: $i] : (~((~((~aSubsetOf0(W1, W0)) | (~((~aSet0(W1)) | (~![W2: $i] : ((~aElementOf0(W2, W1)) | aElementOf0(W2, W0))))))) | (~(aSubsetOf0(W1, W0) | (~aSet0(W1)) | (~((~aElementOf0(tptp_fun_W2_1(W1, W0), W1)) | aElementOf0(tptp_fun_W2_1(W1, W0), W0)))))))) <=> ![W0: $i] : ((~aSet0(W0)) | ![W1: $i] : (~((~(aSubsetOf0(W1, W0) | (~aSet0(W1)) | (~((~aElementOf0(tptp_fun_W2_1(W1, W0), W1)) | aElementOf0(tptp_fun_W2_1(W1, W0), W0))))) | (~((~aSubsetOf0(W1, W0)) | (~((~aSet0(W1)) | (~![W2: $i] : ((~aElementOf0(W2, W1)) | aElementOf0(W2, W0))))))))))),
% 253.58/163.43      inference(quant_intro,[status(thm)],[79])).
% 253.58/163.43  tff(81,plain,
% 253.58/163.43      (^[W0: $i] : refl(((~aSet0(W0)) | ![W1: $i] : (~((~((~aSubsetOf0(W1, W0)) | (~((~aSet0(W1)) | (~![W2: $i] : ((~aElementOf0(W2, W1)) | aElementOf0(W2, W0))))))) | (~(aSubsetOf0(W1, W0) | (~aSet0(W1)) | (~((~aElementOf0(tptp_fun_W2_1(W1, W0), W1)) | aElementOf0(tptp_fun_W2_1(W1, W0), W0)))))))) <=> ((~aSet0(W0)) | ![W1: $i] : (~((~((~aSubsetOf0(W1, W0)) | (~((~aSet0(W1)) | (~![W2: $i] : ((~aElementOf0(W2, W1)) | aElementOf0(W2, W0))))))) | (~(aSubsetOf0(W1, W0) | (~aSet0(W1)) | (~((~aElementOf0(tptp_fun_W2_1(W1, W0), W1)) | aElementOf0(tptp_fun_W2_1(W1, W0), W0)))))))))),
% 253.58/163.43      inference(bind,[status(th)],[])).
% 253.58/163.43  tff(82,plain,
% 253.58/163.43      (![W0: $i] : ((~aSet0(W0)) | ![W1: $i] : (~((~((~aSubsetOf0(W1, W0)) | (~((~aSet0(W1)) | (~![W2: $i] : ((~aElementOf0(W2, W1)) | aElementOf0(W2, W0))))))) | (~(aSubsetOf0(W1, W0) | (~aSet0(W1)) | (~((~aElementOf0(tptp_fun_W2_1(W1, W0), W1)) | aElementOf0(tptp_fun_W2_1(W1, W0), W0)))))))) <=> ![W0: $i] : ((~aSet0(W0)) | ![W1: $i] : (~((~((~aSubsetOf0(W1, W0)) | (~((~aSet0(W1)) | (~![W2: $i] : ((~aElementOf0(W2, W1)) | aElementOf0(W2, W0))))))) | (~(aSubsetOf0(W1, W0) | (~aSet0(W1)) | (~((~aElementOf0(tptp_fun_W2_1(W1, W0), W1)) | aElementOf0(tptp_fun_W2_1(W1, W0), W0))))))))),
% 253.58/163.43      inference(quant_intro,[status(thm)],[81])).
% 253.58/163.43  tff(83,plain,
% 253.58/163.43      (^[W0: $i] : rewrite(((~aSet0(W0)) | ![W1: $i] : (~((~((~aSubsetOf0(W1, W0)) | (~((~aSet0(W1)) | (~![W2: $i] : ((~aElementOf0(W2, W1)) | aElementOf0(W2, W0))))))) | (~(aSubsetOf0(W1, W0) | (~aSet0(W1)) | (~((~aElementOf0(tptp_fun_W2_1(W1, W0), W1)) | aElementOf0(tptp_fun_W2_1(W1, W0), W0)))))))) <=> ((~aSet0(W0)) | ![W1: $i] : (~((~((~aSubsetOf0(W1, W0)) | (~((~aSet0(W1)) | (~![W2: $i] : ((~aElementOf0(W2, W1)) | aElementOf0(W2, W0))))))) | (~(aSubsetOf0(W1, W0) | (~aSet0(W1)) | (~((~aElementOf0(tptp_fun_W2_1(W1, W0), W1)) | aElementOf0(tptp_fun_W2_1(W1, W0), W0)))))))))),
% 253.58/163.43      inference(bind,[status(th)],[])).
% 253.58/163.43  tff(84,plain,
% 253.58/163.43      (![W0: $i] : ((~aSet0(W0)) | ![W1: $i] : (~((~((~aSubsetOf0(W1, W0)) | (~((~aSet0(W1)) | (~![W2: $i] : ((~aElementOf0(W2, W1)) | aElementOf0(W2, W0))))))) | (~(aSubsetOf0(W1, W0) | (~aSet0(W1)) | (~((~aElementOf0(tptp_fun_W2_1(W1, W0), W1)) | aElementOf0(tptp_fun_W2_1(W1, W0), W0)))))))) <=> ![W0: $i] : ((~aSet0(W0)) | ![W1: $i] : (~((~((~aSubsetOf0(W1, W0)) | (~((~aSet0(W1)) | (~![W2: $i] : ((~aElementOf0(W2, W1)) | aElementOf0(W2, W0))))))) | (~(aSubsetOf0(W1, W0) | (~aSet0(W1)) | (~((~aElementOf0(tptp_fun_W2_1(W1, W0), W1)) | aElementOf0(tptp_fun_W2_1(W1, W0), W0))))))))),
% 253.58/163.43      inference(quant_intro,[status(thm)],[83])).
% 253.58/163.43  tff(85,plain,
% 253.58/163.43      (![W0: $i] : ((~aSet0(W0)) | ![W1: $i] : (~((~((~aSubsetOf0(W1, W0)) | (~((~aSet0(W1)) | (~![W2: $i] : ((~aElementOf0(W2, W1)) | aElementOf0(W2, W0))))))) | (~(aSubsetOf0(W1, W0) | (~aSet0(W1)) | (~((~aElementOf0(tptp_fun_W2_1(W1, W0), W1)) | aElementOf0(tptp_fun_W2_1(W1, W0), W0)))))))) <=> ![W0: $i] : ((~aSet0(W0)) | ![W1: $i] : (~((~((~aSubsetOf0(W1, W0)) | (~((~aSet0(W1)) | (~![W2: $i] : ((~aElementOf0(W2, W1)) | aElementOf0(W2, W0))))))) | (~(aSubsetOf0(W1, W0) | (~aSet0(W1)) | (~((~aElementOf0(tptp_fun_W2_1(W1, W0), W1)) | aElementOf0(tptp_fun_W2_1(W1, W0), W0))))))))),
% 253.58/163.43      inference(transitivity,[status(thm)],[84, 82])).
% 253.58/163.43  tff(86,plain,
% 253.58/163.43      (^[W0: $i] : rewrite(((~aSet0(W0)) | ![W1: $i] : (((~aSubsetOf0(W1, W0)) | (aSet0(W1) & ![W2: $i] : ((~aElementOf0(W2, W1)) | aElementOf0(W2, W0)))) & (aSubsetOf0(W1, W0) | (~aSet0(W1)) | (~((~aElementOf0(tptp_fun_W2_1(W1, W0), W1)) | aElementOf0(tptp_fun_W2_1(W1, W0), W0)))))) <=> ((~aSet0(W0)) | ![W1: $i] : (~((~((~aSubsetOf0(W1, W0)) | (~((~aSet0(W1)) | (~![W2: $i] : ((~aElementOf0(W2, W1)) | aElementOf0(W2, W0))))))) | (~(aSubsetOf0(W1, W0) | (~aSet0(W1)) | (~((~aElementOf0(tptp_fun_W2_1(W1, W0), W1)) | aElementOf0(tptp_fun_W2_1(W1, W0), W0)))))))))),
% 253.58/163.43      inference(bind,[status(th)],[])).
% 253.58/163.43  tff(87,plain,
% 253.58/163.43      (![W0: $i] : ((~aSet0(W0)) | ![W1: $i] : (((~aSubsetOf0(W1, W0)) | (aSet0(W1) & ![W2: $i] : ((~aElementOf0(W2, W1)) | aElementOf0(W2, W0)))) & (aSubsetOf0(W1, W0) | (~aSet0(W1)) | (~((~aElementOf0(tptp_fun_W2_1(W1, W0), W1)) | aElementOf0(tptp_fun_W2_1(W1, W0), W0)))))) <=> ![W0: $i] : ((~aSet0(W0)) | ![W1: $i] : (~((~((~aSubsetOf0(W1, W0)) | (~((~aSet0(W1)) | (~![W2: $i] : ((~aElementOf0(W2, W1)) | aElementOf0(W2, W0))))))) | (~(aSubsetOf0(W1, W0) | (~aSet0(W1)) | (~((~aElementOf0(tptp_fun_W2_1(W1, W0), W1)) | aElementOf0(tptp_fun_W2_1(W1, W0), W0))))))))),
% 253.58/163.43      inference(quant_intro,[status(thm)],[86])).
% 253.58/163.43  tff(88,plain,
% 253.58/163.43      (^[W0: $i] : rewrite(((~aSet0(W0)) | ![W1: $i] : (((~aSubsetOf0(W1, W0)) | (aSet0(W1) & ![W2: $i] : ((~aElementOf0(W2, W1)) | aElementOf0(W2, W0)))) & (aSubsetOf0(W1, W0) | ((~aSet0(W1)) | (~((~aElementOf0(tptp_fun_W2_1(W1, W0), W1)) | aElementOf0(tptp_fun_W2_1(W1, W0), W0))))))) <=> ((~aSet0(W0)) | ![W1: $i] : (((~aSubsetOf0(W1, W0)) | (aSet0(W1) & ![W2: $i] : ((~aElementOf0(W2, W1)) | aElementOf0(W2, W0)))) & (aSubsetOf0(W1, W0) | (~aSet0(W1)) | (~((~aElementOf0(tptp_fun_W2_1(W1, W0), W1)) | aElementOf0(tptp_fun_W2_1(W1, W0), W0)))))))),
% 253.58/163.43      inference(bind,[status(th)],[])).
% 253.58/163.43  tff(89,plain,
% 253.58/163.43      (![W0: $i] : ((~aSet0(W0)) | ![W1: $i] : (((~aSubsetOf0(W1, W0)) | (aSet0(W1) & ![W2: $i] : ((~aElementOf0(W2, W1)) | aElementOf0(W2, W0)))) & (aSubsetOf0(W1, W0) | ((~aSet0(W1)) | (~((~aElementOf0(tptp_fun_W2_1(W1, W0), W1)) | aElementOf0(tptp_fun_W2_1(W1, W0), W0))))))) <=> ![W0: $i] : ((~aSet0(W0)) | ![W1: $i] : (((~aSubsetOf0(W1, W0)) | (aSet0(W1) & ![W2: $i] : ((~aElementOf0(W2, W1)) | aElementOf0(W2, W0)))) & (aSubsetOf0(W1, W0) | (~aSet0(W1)) | (~((~aElementOf0(tptp_fun_W2_1(W1, W0), W1)) | aElementOf0(tptp_fun_W2_1(W1, W0), W0))))))),
% 253.58/163.43      inference(quant_intro,[status(thm)],[88])).
% 253.58/163.43  tff(90,plain,
% 253.58/163.43      (![W0: $i] : ((~aSet0(W0)) | ![W1: $i] : (aSubsetOf0(W1, W0) <=> (aSet0(W1) & ![W2: $i] : ((~aElementOf0(W2, W1)) | aElementOf0(W2, W0))))) <=> ![W0: $i] : ((~aSet0(W0)) | ![W1: $i] : (aSubsetOf0(W1, W0) <=> (aSet0(W1) & ![W2: $i] : ((~aElementOf0(W2, W1)) | aElementOf0(W2, W0)))))),
% 253.58/163.43      inference(rewrite,[status(thm)],[])).
% 253.58/163.43  tff(91,plain,
% 253.58/163.43      (^[W0: $i] : trans(monotonicity(quant_intro(proof_bind(^[W1: $i] : rewrite((aSubsetOf0(W1, W0) <=> (aSet0(W1) & ![W2: $i] : (aElementOf0(W2, W1) => aElementOf0(W2, W0)))) <=> (aSubsetOf0(W1, W0) <=> (aSet0(W1) & ![W2: $i] : ((~aElementOf0(W2, W1)) | aElementOf0(W2, W0)))))), (![W1: $i] : (aSubsetOf0(W1, W0) <=> (aSet0(W1) & ![W2: $i] : (aElementOf0(W2, W1) => aElementOf0(W2, W0)))) <=> ![W1: $i] : (aSubsetOf0(W1, W0) <=> (aSet0(W1) & ![W2: $i] : ((~aElementOf0(W2, W1)) | aElementOf0(W2, W0)))))), ((aSet0(W0) => ![W1: $i] : (aSubsetOf0(W1, W0) <=> (aSet0(W1) & ![W2: $i] : (aElementOf0(W2, W1) => aElementOf0(W2, W0))))) <=> (aSet0(W0) => ![W1: $i] : (aSubsetOf0(W1, W0) <=> (aSet0(W1) & ![W2: $i] : ((~aElementOf0(W2, W1)) | aElementOf0(W2, W0))))))), rewrite((aSet0(W0) => ![W1: $i] : (aSubsetOf0(W1, W0) <=> (aSet0(W1) & ![W2: $i] : ((~aElementOf0(W2, W1)) | aElementOf0(W2, W0))))) <=> ((~aSet0(W0)) | ![W1: $i] : (aSubsetOf0(W1, W0) <=> (aSet0(W1) & ![W2: $i] : ((~aElementOf0(W2, W1)) | aElementOf0(W2, W0)))))), ((aSet0(W0) => ![W1: $i] : (aSubsetOf0(W1, W0) <=> (aSet0(W1) & ![W2: $i] : (aElementOf0(W2, W1) => aElementOf0(W2, W0))))) <=> ((~aSet0(W0)) | ![W1: $i] : (aSubsetOf0(W1, W0) <=> (aSet0(W1) & ![W2: $i] : ((~aElementOf0(W2, W1)) | aElementOf0(W2, W0)))))))),
% 253.58/163.43      inference(bind,[status(th)],[])).
% 253.58/163.43  tff(92,plain,
% 253.58/163.43      (![W0: $i] : (aSet0(W0) => ![W1: $i] : (aSubsetOf0(W1, W0) <=> (aSet0(W1) & ![W2: $i] : (aElementOf0(W2, W1) => aElementOf0(W2, W0))))) <=> ![W0: $i] : ((~aSet0(W0)) | ![W1: $i] : (aSubsetOf0(W1, W0) <=> (aSet0(W1) & ![W2: $i] : ((~aElementOf0(W2, W1)) | aElementOf0(W2, W0)))))),
% 253.58/163.43      inference(quant_intro,[status(thm)],[91])).
% 253.58/163.43  tff(93,axiom,(![W0: $i] : (aSet0(W0) => ![W1: $i] : (aSubsetOf0(W1, W0) <=> (aSet0(W1) & ![W2: $i] : (aElementOf0(W2, W1) => aElementOf0(W2, W0)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mDefSub')).
% 253.58/163.43  tff(94,plain,
% 253.58/163.43      (![W0: $i] : ((~aSet0(W0)) | ![W1: $i] : (aSubsetOf0(W1, W0) <=> (aSet0(W1) & ![W2: $i] : ((~aElementOf0(W2, W1)) | aElementOf0(W2, W0)))))),
% 253.58/163.43      inference(modus_ponens,[status(thm)],[93, 92])).
% 253.58/163.43  tff(95,plain,
% 253.58/163.43      (![W0: $i] : ((~aSet0(W0)) | ![W1: $i] : (aSubsetOf0(W1, W0) <=> (aSet0(W1) & ![W2: $i] : ((~aElementOf0(W2, W1)) | aElementOf0(W2, W0)))))),
% 253.58/163.43      inference(modus_ponens,[status(thm)],[94, 90])).
% 253.58/163.43  tff(96,plain,(
% 253.58/163.43      ![W0: $i] : ((~aSet0(W0)) | ![W1: $i] : (((~aSubsetOf0(W1, W0)) | (aSet0(W1) & ![W2: $i] : ((~aElementOf0(W2, W1)) | aElementOf0(W2, W0)))) & (aSubsetOf0(W1, W0) | ((~aSet0(W1)) | (~((~aElementOf0(tptp_fun_W2_1(W1, W0), W1)) | aElementOf0(tptp_fun_W2_1(W1, W0), W0)))))))),
% 253.58/163.43      inference(skolemize,[status(sab)],[95])).
% 253.58/163.43  tff(97,plain,
% 253.58/163.43      (![W0: $i] : ((~aSet0(W0)) | ![W1: $i] : (((~aSubsetOf0(W1, W0)) | (aSet0(W1) & ![W2: $i] : ((~aElementOf0(W2, W1)) | aElementOf0(W2, W0)))) & (aSubsetOf0(W1, W0) | (~aSet0(W1)) | (~((~aElementOf0(tptp_fun_W2_1(W1, W0), W1)) | aElementOf0(tptp_fun_W2_1(W1, W0), W0))))))),
% 253.58/163.43      inference(modus_ponens,[status(thm)],[96, 89])).
% 253.58/163.43  tff(98,plain,
% 253.58/163.43      (![W0: $i] : ((~aSet0(W0)) | ![W1: $i] : (~((~((~aSubsetOf0(W1, W0)) | (~((~aSet0(W1)) | (~![W2: $i] : ((~aElementOf0(W2, W1)) | aElementOf0(W2, W0))))))) | (~(aSubsetOf0(W1, W0) | (~aSet0(W1)) | (~((~aElementOf0(tptp_fun_W2_1(W1, W0), W1)) | aElementOf0(tptp_fun_W2_1(W1, W0), W0))))))))),
% 253.58/163.43      inference(modus_ponens,[status(thm)],[97, 87])).
% 253.58/163.43  tff(99,plain,
% 253.58/163.43      (![W0: $i] : ((~aSet0(W0)) | ![W1: $i] : (~((~((~aSubsetOf0(W1, W0)) | (~((~aSet0(W1)) | (~![W2: $i] : ((~aElementOf0(W2, W1)) | aElementOf0(W2, W0))))))) | (~(aSubsetOf0(W1, W0) | (~aSet0(W1)) | (~((~aElementOf0(tptp_fun_W2_1(W1, W0), W1)) | aElementOf0(tptp_fun_W2_1(W1, W0), W0))))))))),
% 253.58/163.43      inference(modus_ponens,[status(thm)],[98, 85])).
% 253.58/163.43  tff(100,plain,
% 253.58/163.43      (![W0: $i] : ((~aSet0(W0)) | ![W1: $i] : (~((~(aSubsetOf0(W1, W0) | (~aSet0(W1)) | (~((~aElementOf0(tptp_fun_W2_1(W1, W0), W1)) | aElementOf0(tptp_fun_W2_1(W1, W0), W0))))) | (~((~aSubsetOf0(W1, W0)) | (~((~aSet0(W1)) | (~![W2: $i] : ((~aElementOf0(W2, W1)) | aElementOf0(W2, W0))))))))))),
% 253.58/163.43      inference(modus_ponens,[status(thm)],[99, 80])).
% 253.58/163.43  tff(101,plain,
% 253.58/163.43      (((~![W0: $i] : ((~aSet0(W0)) | ![W1: $i] : (~((~(aSubsetOf0(W1, W0) | (~aSet0(W1)) | (~((~aElementOf0(tptp_fun_W2_1(W1, W0), W1)) | aElementOf0(tptp_fun_W2_1(W1, W0), W0))))) | (~((~aSubsetOf0(W1, W0)) | (~((~aSet0(W1)) | (~![W2: $i] : ((~aElementOf0(W2, W1)) | aElementOf0(W2, W0))))))))))) | ((~aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | ![W1: $i] : (~((~((~aSet0(W1)) | aSubsetOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) | (~((~aElementOf0(tptp_fun_W2_1(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))), W1)) | aElementOf0(tptp_fun_W2_1(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))))))) | (~((~aSubsetOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~((~aSet0(W1)) | (~![W2: $i] : ((~aElementOf0(W2, W1)) | aElementOf0(W2, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))))))))))))) <=> ((~![W0: $i] : ((~aSet0(W0)) | ![W1: $i] : (~((~(aSubsetOf0(W1, W0) | (~aSet0(W1)) | (~((~aElementOf0(tptp_fun_W2_1(W1, W0), W1)) | aElementOf0(tptp_fun_W2_1(W1, W0), W0))))) | (~((~aSubsetOf0(W1, W0)) | (~((~aSet0(W1)) | (~![W2: $i] : ((~aElementOf0(W2, W1)) | aElementOf0(W2, W0))))))))))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | ![W1: $i] : (~((~((~aSet0(W1)) | aSubsetOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) | (~((~aElementOf0(tptp_fun_W2_1(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))), W1)) | aElementOf0(tptp_fun_W2_1(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))))))) | (~((~aSubsetOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~((~aSet0(W1)) | (~![W2: $i] : ((~aElementOf0(W2, W1)) | aElementOf0(W2, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))))))))))))),
% 253.58/163.43      inference(rewrite,[status(thm)],[])).
% 253.58/163.43  tff(102,plain,
% 253.58/163.43      (((~aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | ![W1: $i] : (~((~(aSubsetOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) | (~aSet0(W1)) | (~((~aElementOf0(tptp_fun_W2_1(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))), W1)) | aElementOf0(tptp_fun_W2_1(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))))))) | (~((~aSubsetOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~((~aSet0(W1)) | (~![W2: $i] : ((~aElementOf0(W2, W1)) | aElementOf0(W2, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))))))))))) <=> ((~aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | ![W1: $i] : (~((~((~aSet0(W1)) | aSubsetOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) | (~((~aElementOf0(tptp_fun_W2_1(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))), W1)) | aElementOf0(tptp_fun_W2_1(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))))))) | (~((~aSubsetOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~((~aSet0(W1)) | (~![W2: $i] : ((~aElementOf0(W2, W1)) | aElementOf0(W2, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))))))))))))),
% 253.58/163.43      inference(rewrite,[status(thm)],[])).
% 253.58/163.43  tff(103,plain,
% 253.58/163.43      (((~![W0: $i] : ((~aSet0(W0)) | ![W1: $i] : (~((~(aSubsetOf0(W1, W0) | (~aSet0(W1)) | (~((~aElementOf0(tptp_fun_W2_1(W1, W0), W1)) | aElementOf0(tptp_fun_W2_1(W1, W0), W0))))) | (~((~aSubsetOf0(W1, W0)) | (~((~aSet0(W1)) | (~![W2: $i] : ((~aElementOf0(W2, W1)) | aElementOf0(W2, W0))))))))))) | ((~aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | ![W1: $i] : (~((~(aSubsetOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) | (~aSet0(W1)) | (~((~aElementOf0(tptp_fun_W2_1(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))), W1)) | aElementOf0(tptp_fun_W2_1(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))))))) | (~((~aSubsetOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~((~aSet0(W1)) | (~![W2: $i] : ((~aElementOf0(W2, W1)) | aElementOf0(W2, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))))))))))))) <=> ((~![W0: $i] : ((~aSet0(W0)) | ![W1: $i] : (~((~(aSubsetOf0(W1, W0) | (~aSet0(W1)) | (~((~aElementOf0(tptp_fun_W2_1(W1, W0), W1)) | aElementOf0(tptp_fun_W2_1(W1, W0), W0))))) | (~((~aSubsetOf0(W1, W0)) | (~((~aSet0(W1)) | (~![W2: $i] : ((~aElementOf0(W2, W1)) | aElementOf0(W2, W0))))))))))) | ((~aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | ![W1: $i] : (~((~((~aSet0(W1)) | aSubsetOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) | (~((~aElementOf0(tptp_fun_W2_1(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))), W1)) | aElementOf0(tptp_fun_W2_1(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))))))) | (~((~aSubsetOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~((~aSet0(W1)) | (~![W2: $i] : ((~aElementOf0(W2, W1)) | aElementOf0(W2, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))))))))))))),
% 253.58/163.43      inference(monotonicity,[status(thm)],[102])).
% 253.58/163.43  tff(104,plain,
% 253.58/163.43      (((~![W0: $i] : ((~aSet0(W0)) | ![W1: $i] : (~((~(aSubsetOf0(W1, W0) | (~aSet0(W1)) | (~((~aElementOf0(tptp_fun_W2_1(W1, W0), W1)) | aElementOf0(tptp_fun_W2_1(W1, W0), W0))))) | (~((~aSubsetOf0(W1, W0)) | (~((~aSet0(W1)) | (~![W2: $i] : ((~aElementOf0(W2, W1)) | aElementOf0(W2, W0))))))))))) | ((~aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | ![W1: $i] : (~((~(aSubsetOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) | (~aSet0(W1)) | (~((~aElementOf0(tptp_fun_W2_1(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))), W1)) | aElementOf0(tptp_fun_W2_1(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))))))) | (~((~aSubsetOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~((~aSet0(W1)) | (~![W2: $i] : ((~aElementOf0(W2, W1)) | aElementOf0(W2, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))))))))))))) <=> ((~![W0: $i] : ((~aSet0(W0)) | ![W1: $i] : (~((~(aSubsetOf0(W1, W0) | (~aSet0(W1)) | (~((~aElementOf0(tptp_fun_W2_1(W1, W0), W1)) | aElementOf0(tptp_fun_W2_1(W1, W0), W0))))) | (~((~aSubsetOf0(W1, W0)) | (~((~aSet0(W1)) | (~![W2: $i] : ((~aElementOf0(W2, W1)) | aElementOf0(W2, W0))))))))))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | ![W1: $i] : (~((~((~aSet0(W1)) | aSubsetOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) | (~((~aElementOf0(tptp_fun_W2_1(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))), W1)) | aElementOf0(tptp_fun_W2_1(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))))))) | (~((~aSubsetOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~((~aSet0(W1)) | (~![W2: $i] : ((~aElementOf0(W2, W1)) | aElementOf0(W2, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))))))))))))),
% 253.58/163.44      inference(transitivity,[status(thm)],[103, 101])).
% 253.58/163.44  tff(105,plain,
% 253.58/163.44      ((~![W0: $i] : ((~aSet0(W0)) | ![W1: $i] : (~((~(aSubsetOf0(W1, W0) | (~aSet0(W1)) | (~((~aElementOf0(tptp_fun_W2_1(W1, W0), W1)) | aElementOf0(tptp_fun_W2_1(W1, W0), W0))))) | (~((~aSubsetOf0(W1, W0)) | (~((~aSet0(W1)) | (~![W2: $i] : ((~aElementOf0(W2, W1)) | aElementOf0(W2, W0))))))))))) | ((~aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | ![W1: $i] : (~((~(aSubsetOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) | (~aSet0(W1)) | (~((~aElementOf0(tptp_fun_W2_1(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))), W1)) | aElementOf0(tptp_fun_W2_1(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))))))) | (~((~aSubsetOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~((~aSet0(W1)) | (~![W2: $i] : ((~aElementOf0(W2, W1)) | aElementOf0(W2, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))))))))))))),
% 253.58/163.44      inference(quant_inst,[status(thm)],[])).
% 253.58/163.44  tff(106,plain,
% 253.58/163.44      ((~![W0: $i] : ((~aSet0(W0)) | ![W1: $i] : (~((~(aSubsetOf0(W1, W0) | (~aSet0(W1)) | (~((~aElementOf0(tptp_fun_W2_1(W1, W0), W1)) | aElementOf0(tptp_fun_W2_1(W1, W0), W0))))) | (~((~aSubsetOf0(W1, W0)) | (~((~aSet0(W1)) | (~![W2: $i] : ((~aElementOf0(W2, W1)) | aElementOf0(W2, W0))))))))))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | ![W1: $i] : (~((~((~aSet0(W1)) | aSubsetOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) | (~((~aElementOf0(tptp_fun_W2_1(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))), W1)) | aElementOf0(tptp_fun_W2_1(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))))))) | (~((~aSubsetOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~((~aSet0(W1)) | (~![W2: $i] : ((~aElementOf0(W2, W1)) | aElementOf0(W2, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))))))))))),
% 253.58/163.44      inference(modus_ponens,[status(thm)],[105, 104])).
% 253.58/163.44  tff(107,plain,
% 253.58/163.44      (![W1: $i] : (~((~((~aSet0(W1)) | aSubsetOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) | (~((~aElementOf0(tptp_fun_W2_1(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))), W1)) | aElementOf0(tptp_fun_W2_1(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))))))) | (~((~aSubsetOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~((~aSet0(W1)) | (~![W2: $i] : ((~aElementOf0(W2, W1)) | aElementOf0(W2, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))))))))))),
% 253.58/163.44      inference(unit_resolution,[status(thm)],[106, 100, 78])).
% 253.58/163.44  tff(108,plain,
% 253.58/163.44      ((~![W1: $i] : (~((~((~aSet0(W1)) | aSubsetOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) | (~((~aElementOf0(tptp_fun_W2_1(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))), W1)) | aElementOf0(tptp_fun_W2_1(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))))))) | (~((~aSubsetOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~((~aSet0(W1)) | (~![W2: $i] : ((~aElementOf0(W2, W1)) | aElementOf0(W2, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))))))))))) | (~((~((~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(xn)), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) | (~((~aElementOf0(tptp_fun_W2_1(sdtlpdtrp0(xN, szszuzczcdt0(xn)), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))), sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | aElementOf0(tptp_fun_W2_1(sdtlpdtrp0(xN, szszuzczcdt0(xn)), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))))))) | (~((~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(xn)), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~((~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | aElementOf0(W2, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))))))))))),
% 253.58/163.44      inference(quant_inst,[status(thm)],[])).
% 253.58/163.44  tff(109,plain,
% 253.58/163.44      (~((~((~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(xn)), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) | (~((~aElementOf0(tptp_fun_W2_1(sdtlpdtrp0(xN, szszuzczcdt0(xn)), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))), sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | aElementOf0(tptp_fun_W2_1(sdtlpdtrp0(xN, szszuzczcdt0(xn)), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))))))) | (~((~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(xn)), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~((~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | aElementOf0(W2, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))))))))))),
% 253.58/163.44      inference(unit_resolution,[status(thm)],[108, 107])).
% 253.58/163.44  tff(110,plain,
% 253.58/163.44      (((~((~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(xn)), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) | (~((~aElementOf0(tptp_fun_W2_1(sdtlpdtrp0(xN, szszuzczcdt0(xn)), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))), sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | aElementOf0(tptp_fun_W2_1(sdtlpdtrp0(xN, szszuzczcdt0(xn)), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))))))) | (~((~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(xn)), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~((~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | aElementOf0(W2, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))))))))) | ((~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(xn)), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~((~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | aElementOf0(W2, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))))))))),
% 253.58/163.44      inference(tautology,[status(thm)],[])).
% 253.58/163.44  tff(111,plain,
% 253.66/163.44      ((~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(xn)), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~((~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | aElementOf0(W2, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))))))),
% 253.66/163.44      inference(unit_resolution,[status(thm)],[110, 109])).
% 253.66/163.44  tff(112,plain,
% 253.66/163.44      (((~aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xn)), sdtlpdtrp0(xN, xn))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(xn)), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xn)), W1))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, xn))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, xn))))))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))))) | aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(xn)), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))),
% 253.66/163.44      inference(tautology,[status(thm)],[])).
% 253.66/163.44  tff(113,plain,
% 253.66/163.44      (aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(xn)), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))),
% 253.66/163.44      inference(unit_resolution,[status(thm)],[112, 76])).
% 253.66/163.44  tff(114,plain,
% 253.66/163.44      ((~((~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(xn)), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~((~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | aElementOf0(W2, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))))))))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(xn)), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~((~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | aElementOf0(W2, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))))))),
% 253.66/163.44      inference(tautology,[status(thm)],[])).
% 253.66/163.44  tff(115,plain,
% 253.66/163.44      ((~((~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(xn)), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~((~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | aElementOf0(W2, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))))))))) | (~((~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | aElementOf0(W2, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))))))),
% 253.66/163.44      inference(unit_resolution,[status(thm)],[114, 113])).
% 253.66/163.44  tff(116,plain,
% 253.66/163.44      (~((~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | aElementOf0(W2, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))))))),
% 253.66/163.44      inference(unit_resolution,[status(thm)],[115, 111])).
% 253.66/163.44  tff(117,plain,
% 253.66/163.44      (((~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | aElementOf0(W2, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))))) | ![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | aElementOf0(W2, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))))),
% 253.66/163.44      inference(tautology,[status(thm)],[])).
% 253.66/163.44  tff(118,plain,
% 253.66/163.44      (![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | aElementOf0(W2, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))))),
% 253.66/163.44      inference(unit_resolution,[status(thm)],[117, 116])).
% 253.66/163.44  tff(119,plain,
% 253.66/163.44      (((~aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xn)), sdtlpdtrp0(xN, xn))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(xn)), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xn)), W1))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, xn))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, xn))))))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))))) | ![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, xn))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, xn))))))),
% 253.66/163.45      inference(tautology,[status(thm)],[])).
% 253.66/163.45  tff(120,plain,
% 253.66/163.45      (![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, xn))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, xn))))))),
% 253.66/163.45      inference(unit_resolution,[status(thm)],[119, 76])).
% 253.66/163.45  tff(121,plain,
% 253.66/163.45      ((~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, xn))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, xn))))))) | (aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (~((~aElement0(szmzizndt0(sdtlpdtrp0(xN, xm)))) | (~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xn))) | (szmzizndt0(sdtlpdtrp0(xN, xm)) = szmzizndt0(sdtlpdtrp0(xN, xn))))))),
% 253.66/163.45      inference(quant_inst,[status(thm)],[])).
% 253.66/163.45  tff(122,plain,
% 253.66/163.45      (aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (~((~aElement0(szmzizndt0(sdtlpdtrp0(xN, xm)))) | (~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xn))) | (szmzizndt0(sdtlpdtrp0(xN, xm)) = szmzizndt0(sdtlpdtrp0(xN, xn)))))),
% 253.66/163.45      inference(unit_resolution,[status(thm)],[121, 120])).
% 253.66/163.45  tff(123,plain,
% 253.66/163.45      (^[W0: $i] : refl(((~aElementOf0(W0, szDzozmdt0(xN))) | (~((~aElementOf0(szszuzczcdt0(W0), szDzozmdt0(xN))) | (szszuzczcdt0(W0) = sz00)))) <=> ((~aElementOf0(W0, szDzozmdt0(xN))) | (~((~aElementOf0(szszuzczcdt0(W0), szDzozmdt0(xN))) | (szszuzczcdt0(W0) = sz00)))))),
% 253.66/163.45      inference(bind,[status(th)],[])).
% 253.66/163.45  tff(124,plain,
% 253.66/163.45      (![W0: $i] : ((~aElementOf0(W0, szDzozmdt0(xN))) | (~((~aElementOf0(szszuzczcdt0(W0), szDzozmdt0(xN))) | (szszuzczcdt0(W0) = sz00)))) <=> ![W0: $i] : ((~aElementOf0(W0, szDzozmdt0(xN))) | (~((~aElementOf0(szszuzczcdt0(W0), szDzozmdt0(xN))) | (szszuzczcdt0(W0) = sz00))))),
% 253.66/163.45      inference(quant_intro,[status(thm)],[123])).
% 253.66/163.45  tff(125,plain,
% 253.66/163.45      (^[W0: $i] : rewrite(((~aElementOf0(W0, szDzozmdt0(xN))) | (aElementOf0(szszuzczcdt0(W0), szDzozmdt0(xN)) & (~(szszuzczcdt0(W0) = sz00)))) <=> ((~aElementOf0(W0, szDzozmdt0(xN))) | (~((~aElementOf0(szszuzczcdt0(W0), szDzozmdt0(xN))) | (szszuzczcdt0(W0) = sz00)))))),
% 253.66/163.45      inference(bind,[status(th)],[])).
% 253.66/163.45  tff(126,plain,
% 253.66/163.45      (![W0: $i] : ((~aElementOf0(W0, szDzozmdt0(xN))) | (aElementOf0(szszuzczcdt0(W0), szDzozmdt0(xN)) & (~(szszuzczcdt0(W0) = sz00)))) <=> ![W0: $i] : ((~aElementOf0(W0, szDzozmdt0(xN))) | (~((~aElementOf0(szszuzczcdt0(W0), szDzozmdt0(xN))) | (szszuzczcdt0(W0) = sz00))))),
% 253.66/163.45      inference(quant_intro,[status(thm)],[125])).
% 253.66/163.45  tff(127,plain,
% 253.66/163.45      (^[W0: $i] : rewrite(((~aElementOf0(W0, szNzAzT0)) | (aElementOf0(szszuzczcdt0(W0), szNzAzT0) & (~(szszuzczcdt0(W0) = sz00)))) <=> ((~aElementOf0(W0, szDzozmdt0(xN))) | (aElementOf0(szszuzczcdt0(W0), szDzozmdt0(xN)) & (~(szszuzczcdt0(W0) = sz00)))))),
% 253.66/163.45      inference(bind,[status(th)],[])).
% 253.66/163.45  tff(128,plain,
% 253.66/163.45      (![W0: $i] : ((~aElementOf0(W0, szNzAzT0)) | (aElementOf0(szszuzczcdt0(W0), szNzAzT0) & (~(szszuzczcdt0(W0) = sz00)))) <=> ![W0: $i] : ((~aElementOf0(W0, szDzozmdt0(xN))) | (aElementOf0(szszuzczcdt0(W0), szDzozmdt0(xN)) & (~(szszuzczcdt0(W0) = sz00))))),
% 253.66/163.45      inference(quant_intro,[status(thm)],[127])).
% 253.66/163.45  tff(129,plain,
% 253.66/163.45      (![W0: $i] : ((~aElementOf0(W0, szNzAzT0)) | (aElementOf0(szszuzczcdt0(W0), szNzAzT0) & (~(szszuzczcdt0(W0) = sz00)))) <=> ![W0: $i] : ((~aElementOf0(W0, szNzAzT0)) | (aElementOf0(szszuzczcdt0(W0), szNzAzT0) & (~(szszuzczcdt0(W0) = sz00))))),
% 253.66/163.45      inference(rewrite,[status(thm)],[])).
% 253.66/163.45  tff(130,plain,
% 253.66/163.45      (^[W0: $i] : rewrite((aElementOf0(W0, szNzAzT0) => (aElementOf0(szszuzczcdt0(W0), szNzAzT0) & (~(szszuzczcdt0(W0) = sz00)))) <=> ((~aElementOf0(W0, szNzAzT0)) | (aElementOf0(szszuzczcdt0(W0), szNzAzT0) & (~(szszuzczcdt0(W0) = sz00)))))),
% 253.66/163.45      inference(bind,[status(th)],[])).
% 253.66/163.45  tff(131,plain,
% 253.66/163.45      (![W0: $i] : (aElementOf0(W0, szNzAzT0) => (aElementOf0(szszuzczcdt0(W0), szNzAzT0) & (~(szszuzczcdt0(W0) = sz00)))) <=> ![W0: $i] : ((~aElementOf0(W0, szNzAzT0)) | (aElementOf0(szszuzczcdt0(W0), szNzAzT0) & (~(szszuzczcdt0(W0) = sz00))))),
% 253.66/163.45      inference(quant_intro,[status(thm)],[130])).
% 253.66/163.45  tff(132,axiom,(![W0: $i] : (aElementOf0(W0, szNzAzT0) => (aElementOf0(szszuzczcdt0(W0), szNzAzT0) & (~(szszuzczcdt0(W0) = sz00))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mSuccNum')).
% 253.66/163.45  tff(133,plain,
% 253.66/163.45      (![W0: $i] : ((~aElementOf0(W0, szNzAzT0)) | (aElementOf0(szszuzczcdt0(W0), szNzAzT0) & (~(szszuzczcdt0(W0) = sz00))))),
% 253.66/163.45      inference(modus_ponens,[status(thm)],[132, 131])).
% 253.66/163.45  tff(134,plain,
% 253.66/163.45      (![W0: $i] : ((~aElementOf0(W0, szNzAzT0)) | (aElementOf0(szszuzczcdt0(W0), szNzAzT0) & (~(szszuzczcdt0(W0) = sz00))))),
% 253.66/163.45      inference(modus_ponens,[status(thm)],[133, 129])).
% 253.66/163.45  tff(135,plain,
% 253.66/163.45      (![W0: $i] : ((~aElementOf0(W0, szDzozmdt0(xN))) | (aElementOf0(szszuzczcdt0(W0), szDzozmdt0(xN)) & (~(szszuzczcdt0(W0) = sz00))))),
% 253.66/163.45      inference(modus_ponens,[status(thm)],[134, 128])).
% 253.66/163.45  tff(136,plain,(
% 253.66/163.45      ![W0: $i] : ((~aElementOf0(W0, szDzozmdt0(xN))) | (aElementOf0(szszuzczcdt0(W0), szDzozmdt0(xN)) & (~(szszuzczcdt0(W0) = sz00))))),
% 253.66/163.45      inference(skolemize,[status(sab)],[135])).
% 253.66/163.45  tff(137,plain,
% 253.66/163.45      (![W0: $i] : ((~aElementOf0(W0, szDzozmdt0(xN))) | (~((~aElementOf0(szszuzczcdt0(W0), szDzozmdt0(xN))) | (szszuzczcdt0(W0) = sz00))))),
% 253.66/163.45      inference(modus_ponens,[status(thm)],[136, 126])).
% 253.66/163.45  tff(138,plain,
% 253.66/163.45      (![W0: $i] : ((~aElementOf0(W0, szDzozmdt0(xN))) | (~((~aElementOf0(szszuzczcdt0(W0), szDzozmdt0(xN))) | (szszuzczcdt0(W0) = sz00))))),
% 253.66/163.45      inference(modus_ponens,[status(thm)],[137, 124])).
% 253.66/163.45  tff(139,plain,
% 253.66/163.45      (((~![W0: $i] : ((~aElementOf0(W0, szDzozmdt0(xN))) | (~((~aElementOf0(szszuzczcdt0(W0), szDzozmdt0(xN))) | (szszuzczcdt0(W0) = sz00))))) | ((~aElementOf0(xn, szDzozmdt0(xN))) | (~((~aElementOf0(szszuzczcdt0(xn), szDzozmdt0(xN))) | (szszuzczcdt0(xn) = sz00))))) <=> ((~![W0: $i] : ((~aElementOf0(W0, szDzozmdt0(xN))) | (~((~aElementOf0(szszuzczcdt0(W0), szDzozmdt0(xN))) | (szszuzczcdt0(W0) = sz00))))) | (~aElementOf0(xn, szDzozmdt0(xN))) | (~((~aElementOf0(szszuzczcdt0(xn), szDzozmdt0(xN))) | (szszuzczcdt0(xn) = sz00))))),
% 253.66/163.45      inference(rewrite,[status(thm)],[])).
% 253.66/163.45  tff(140,plain,
% 253.66/163.45      ((~![W0: $i] : ((~aElementOf0(W0, szDzozmdt0(xN))) | (~((~aElementOf0(szszuzczcdt0(W0), szDzozmdt0(xN))) | (szszuzczcdt0(W0) = sz00))))) | ((~aElementOf0(xn, szDzozmdt0(xN))) | (~((~aElementOf0(szszuzczcdt0(xn), szDzozmdt0(xN))) | (szszuzczcdt0(xn) = sz00))))),
% 253.66/163.45      inference(quant_inst,[status(thm)],[])).
% 253.66/163.45  tff(141,plain,
% 253.66/163.45      ((~![W0: $i] : ((~aElementOf0(W0, szDzozmdt0(xN))) | (~((~aElementOf0(szszuzczcdt0(W0), szDzozmdt0(xN))) | (szszuzczcdt0(W0) = sz00))))) | (~aElementOf0(xn, szDzozmdt0(xN))) | (~((~aElementOf0(szszuzczcdt0(xn), szDzozmdt0(xN))) | (szszuzczcdt0(xn) = sz00)))),
% 253.66/163.45      inference(modus_ponens,[status(thm)],[140, 139])).
% 253.66/163.45  tff(142,plain,
% 253.66/163.45      (~((~aElementOf0(szszuzczcdt0(xn), szDzozmdt0(xN))) | (szszuzczcdt0(xn) = sz00))),
% 253.66/163.45      inference(unit_resolution,[status(thm)],[141, 138, 6])).
% 253.66/163.45  tff(143,plain,
% 253.66/163.45      (((~aElementOf0(szszuzczcdt0(xn), szDzozmdt0(xN))) | (szszuzczcdt0(xn) = sz00)) | aElementOf0(szszuzczcdt0(xn), szDzozmdt0(xN))),
% 253.66/163.45      inference(tautology,[status(thm)],[])).
% 253.66/163.45  tff(144,plain,
% 253.66/163.45      (aElementOf0(szszuzczcdt0(xn), szDzozmdt0(xN))),
% 253.66/163.45      inference(unit_resolution,[status(thm)],[143, 142])).
% 253.66/163.45  tff(145,plain,
% 253.66/163.45      (sdtlseqdt0(szszuzczcdt0(xn), xm) <=> sdtlseqdt0(szszuzczcdt0(xn), xm)),
% 253.66/163.45      inference(rewrite,[status(thm)],[])).
% 253.66/163.45  tff(146,plain,
% 253.66/163.45      ((~(sdtlseqdt0(szszuzczcdt0(xn), xm) => (((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xn)), sdtlpdtrp0(xN, xn)) & ![W0: $i] : (aElementOf0(W0, sdtlpdtrp0(xN, xn)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xn)), W0))) => ((aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) & ![W0: $i] : (aElementOf0(W0, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> ((aElement0(W0) & aElementOf0(W0, sdtlpdtrp0(xN, xn))) & (~(W0 = szmzizndt0(sdtlpdtrp0(xN, xn))))))) => (![W0: $i] : (aElementOf0(W0, sdtlpdtrp0(xN, xm)) => aElementOf0(W0, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | aSubsetOf0(sdtlpdtrp0(xN, xm), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))))) & (~((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xm)) & ![W0: $i] : (aElementOf0(W0, sdtlpdtrp0(xN, xm)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0))) & aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xn))) & ![W0: $i] : (aElementOf0(W0, sdtlpdtrp0(xN, xn)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0))) & (szmzizndt0(sdtlpdtrp0(xN, xm)) = szmzizndt0(sdtlpdtrp0(xN, xn)))))))) <=> (~((~sdtlseqdt0(szszuzczcdt0(xn), xm)) | ((aSubsetOf0(sdtlpdtrp0(xN, xm), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) | ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xm))) | aElementOf0(W0, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~(aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) & ![W0: $i] : (aElementOf0(W0, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (aElement0(W0) & aElementOf0(W0, sdtlpdtrp0(xN, xn)) & (~(W0 = szmzizndt0(sdtlpdtrp0(xN, xn)))))))) | (~(aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xn)), sdtlpdtrp0(xN, xn)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xn)), W0))))) & (~(aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xm)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xm))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0)) & aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xn)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0)) & (szmzizndt0(sdtlpdtrp0(xN, xm)) = szmzizndt0(sdtlpdtrp0(xN, xn))))))))),
% 253.66/163.45      inference(rewrite,[status(thm)],[])).
% 253.66/163.45  tff(147,axiom,(~(sdtlseqdt0(szszuzczcdt0(xn), xm) => (((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xn)), sdtlpdtrp0(xN, xn)) & ![W0: $i] : (aElementOf0(W0, sdtlpdtrp0(xN, xn)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xn)), W0))) => ((aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) & ![W0: $i] : (aElementOf0(W0, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> ((aElement0(W0) & aElementOf0(W0, sdtlpdtrp0(xN, xn))) & (~(W0 = szmzizndt0(sdtlpdtrp0(xN, xn))))))) => (![W0: $i] : (aElementOf0(W0, sdtlpdtrp0(xN, xm)) => aElementOf0(W0, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | aSubsetOf0(sdtlpdtrp0(xN, xm), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))))) & (~((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xm)) & ![W0: $i] : (aElementOf0(W0, sdtlpdtrp0(xN, xm)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0))) & aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xn))) & ![W0: $i] : (aElementOf0(W0, sdtlpdtrp0(xN, xn)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0))) & (szmzizndt0(sdtlpdtrp0(xN, xm)) = szmzizndt0(sdtlpdtrp0(xN, xn)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m__')).
% 253.66/163.45  tff(148,plain,
% 253.66/163.45      (~((~sdtlseqdt0(szszuzczcdt0(xn), xm)) | ((aSubsetOf0(sdtlpdtrp0(xN, xm), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) | ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xm))) | aElementOf0(W0, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~(aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) & ![W0: $i] : (aElementOf0(W0, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (aElement0(W0) & aElementOf0(W0, sdtlpdtrp0(xN, xn)) & (~(W0 = szmzizndt0(sdtlpdtrp0(xN, xn)))))))) | (~(aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xn)), sdtlpdtrp0(xN, xn)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xn)), W0))))) & (~(aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xm)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xm))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0)) & aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xn)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0)) & (szmzizndt0(sdtlpdtrp0(xN, xm)) = szmzizndt0(sdtlpdtrp0(xN, xn)))))))),
% 253.66/163.46      inference(modus_ponens,[status(thm)],[147, 146])).
% 253.66/163.46  tff(149,plain,
% 253.66/163.46      (sdtlseqdt0(szszuzczcdt0(xn), xm)),
% 253.66/163.46      inference(or_elim,[status(thm)],[148])).
% 253.66/163.46  tff(150,plain,
% 253.66/163.46      (sdtlseqdt0(szszuzczcdt0(xn), xm)),
% 253.66/163.46      inference(modus_ponens,[status(thm)],[149, 145])).
% 253.66/163.46  tff(151,plain,
% 253.66/163.46      (aElementOf0(xm, szNzAzT0) <=> aElementOf0(xm, szDzozmdt0(xN))),
% 253.66/163.46      inference(rewrite,[status(thm)],[])).
% 253.66/163.46  tff(152,plain,
% 253.66/163.46      (aElementOf0(xm, szNzAzT0) <=> aElementOf0(xm, szNzAzT0)),
% 253.66/163.46      inference(rewrite,[status(thm)],[])).
% 253.66/163.46  tff(153,plain,
% 253.66/163.46      (aElementOf0(xm, szNzAzT0)),
% 253.66/163.46      inference(and_elim,[status(thm)],[3])).
% 253.66/163.46  tff(154,plain,
% 253.66/163.46      (aElementOf0(xm, szNzAzT0)),
% 253.66/163.46      inference(modus_ponens,[status(thm)],[153, 152])).
% 253.66/163.46  tff(155,plain,
% 253.66/163.46      (aElementOf0(xm, szDzozmdt0(xN))),
% 253.66/163.46      inference(modus_ponens,[status(thm)],[154, 151])).
% 253.66/163.46  tff(156,plain,
% 253.66/163.46      (^[W0: $i, W1: $i] : rewrite(((~sdtlseqdt0(W1, W0)) | (~aElementOf0(W1, szDzozmdt0(xN))) | (~aElementOf0(W0, szDzozmdt0(xN))) | (~((~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, W0))) | aElementOf0(W2, sdtlpdtrp0(xN, W1)))) | (~aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1)))))) <=> ((~sdtlseqdt0(W1, W0)) | (~aElementOf0(W1, szDzozmdt0(xN))) | (~aElementOf0(W0, szDzozmdt0(xN))) | (~((~aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1))) | (~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, W0))) | aElementOf0(W2, sdtlpdtrp0(xN, W1))))))))),
% 253.66/163.46      inference(bind,[status(th)],[])).
% 253.66/163.46  tff(157,plain,
% 253.66/163.46      (![W0: $i, W1: $i] : ((~sdtlseqdt0(W1, W0)) | (~aElementOf0(W1, szDzozmdt0(xN))) | (~aElementOf0(W0, szDzozmdt0(xN))) | (~((~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, W0))) | aElementOf0(W2, sdtlpdtrp0(xN, W1)))) | (~aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1)))))) <=> ![W0: $i, W1: $i] : ((~sdtlseqdt0(W1, W0)) | (~aElementOf0(W1, szDzozmdt0(xN))) | (~aElementOf0(W0, szDzozmdt0(xN))) | (~((~aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1))) | (~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, W0))) | aElementOf0(W2, sdtlpdtrp0(xN, W1)))))))),
% 253.66/163.46      inference(quant_intro,[status(thm)],[156])).
% 253.66/163.46  tff(158,plain,
% 253.66/163.46      (^[W0: $i, W1: $i] : refl(((~sdtlseqdt0(W1, W0)) | (~aElementOf0(W1, szDzozmdt0(xN))) | (~aElementOf0(W0, szDzozmdt0(xN))) | (~((~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, W0))) | aElementOf0(W2, sdtlpdtrp0(xN, W1)))) | (~aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1)))))) <=> ((~sdtlseqdt0(W1, W0)) | (~aElementOf0(W1, szDzozmdt0(xN))) | (~aElementOf0(W0, szDzozmdt0(xN))) | (~((~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, W0))) | aElementOf0(W2, sdtlpdtrp0(xN, W1)))) | (~aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1)))))))),
% 253.66/163.46      inference(bind,[status(th)],[])).
% 253.66/163.46  tff(159,plain,
% 253.66/163.46      (![W0: $i, W1: $i] : ((~sdtlseqdt0(W1, W0)) | (~aElementOf0(W1, szDzozmdt0(xN))) | (~aElementOf0(W0, szDzozmdt0(xN))) | (~((~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, W0))) | aElementOf0(W2, sdtlpdtrp0(xN, W1)))) | (~aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1)))))) <=> ![W0: $i, W1: $i] : ((~sdtlseqdt0(W1, W0)) | (~aElementOf0(W1, szDzozmdt0(xN))) | (~aElementOf0(W0, szDzozmdt0(xN))) | (~((~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, W0))) | aElementOf0(W2, sdtlpdtrp0(xN, W1)))) | (~aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1))))))),
% 253.66/163.46      inference(quant_intro,[status(thm)],[158])).
% 253.66/163.46  tff(160,plain,
% 253.66/163.46      (^[W0: $i, W1: $i] : rewrite(((~sdtlseqdt0(W1, W0)) | (~aElementOf0(W1, szDzozmdt0(xN))) | (~aElementOf0(W0, szDzozmdt0(xN))) | (~((~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, W0))) | aElementOf0(W2, sdtlpdtrp0(xN, W1)))) | (~aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1)))))) <=> ((~sdtlseqdt0(W1, W0)) | (~aElementOf0(W1, szDzozmdt0(xN))) | (~aElementOf0(W0, szDzozmdt0(xN))) | (~((~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, W0))) | aElementOf0(W2, sdtlpdtrp0(xN, W1)))) | (~aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1)))))))),
% 253.66/163.46      inference(bind,[status(th)],[])).
% 253.66/163.46  tff(161,plain,
% 253.66/163.46      (![W0: $i, W1: $i] : ((~sdtlseqdt0(W1, W0)) | (~aElementOf0(W1, szDzozmdt0(xN))) | (~aElementOf0(W0, szDzozmdt0(xN))) | (~((~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, W0))) | aElementOf0(W2, sdtlpdtrp0(xN, W1)))) | (~aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1)))))) <=> ![W0: $i, W1: $i] : ((~sdtlseqdt0(W1, W0)) | (~aElementOf0(W1, szDzozmdt0(xN))) | (~aElementOf0(W0, szDzozmdt0(xN))) | (~((~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, W0))) | aElementOf0(W2, sdtlpdtrp0(xN, W1)))) | (~aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1))))))),
% 253.66/163.46      inference(quant_intro,[status(thm)],[160])).
% 253.66/163.46  tff(162,plain,
% 253.66/163.46      (![W0: $i, W1: $i] : ((~sdtlseqdt0(W1, W0)) | (~aElementOf0(W1, szDzozmdt0(xN))) | (~aElementOf0(W0, szDzozmdt0(xN))) | (~((~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, W0))) | aElementOf0(W2, sdtlpdtrp0(xN, W1)))) | (~aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1)))))) <=> ![W0: $i, W1: $i] : ((~sdtlseqdt0(W1, W0)) | (~aElementOf0(W1, szDzozmdt0(xN))) | (~aElementOf0(W0, szDzozmdt0(xN))) | (~((~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, W0))) | aElementOf0(W2, sdtlpdtrp0(xN, W1)))) | (~aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1))))))),
% 253.66/163.46      inference(transitivity,[status(thm)],[161, 159])).
% 253.66/163.46  tff(163,plain,
% 253.66/163.46      (^[W0: $i, W1: $i] : trans(monotonicity(rewrite((![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, W0))) | aElementOf0(W2, sdtlpdtrp0(xN, W1))) & aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1))) <=> (~((~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, W0))) | aElementOf0(W2, sdtlpdtrp0(xN, W1)))) | (~aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1)))))), trans(monotonicity(rewrite((aElementOf0(W0, szDzozmdt0(xN)) & aElementOf0(W1, szDzozmdt0(xN))) <=> (~((~aElementOf0(W1, szDzozmdt0(xN))) | (~aElementOf0(W0, szDzozmdt0(xN)))))), ((~(aElementOf0(W0, szDzozmdt0(xN)) & aElementOf0(W1, szDzozmdt0(xN)))) <=> (~(~((~aElementOf0(W1, szDzozmdt0(xN))) | (~aElementOf0(W0, szDzozmdt0(xN)))))))), rewrite((~(~((~aElementOf0(W1, szDzozmdt0(xN))) | (~aElementOf0(W0, szDzozmdt0(xN)))))) <=> ((~aElementOf0(W1, szDzozmdt0(xN))) | (~aElementOf0(W0, szDzozmdt0(xN))))), ((~(aElementOf0(W0, szDzozmdt0(xN)) & aElementOf0(W1, szDzozmdt0(xN)))) <=> ((~aElementOf0(W1, szDzozmdt0(xN))) | (~aElementOf0(W0, szDzozmdt0(xN)))))), (((~sdtlseqdt0(W1, W0)) | (![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, W0))) | aElementOf0(W2, sdtlpdtrp0(xN, W1))) & aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1))) | (~(aElementOf0(W0, szDzozmdt0(xN)) & aElementOf0(W1, szDzozmdt0(xN))))) <=> ((~sdtlseqdt0(W1, W0)) | (~((~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, W0))) | aElementOf0(W2, sdtlpdtrp0(xN, W1)))) | (~aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1))))) | ((~aElementOf0(W1, szDzozmdt0(xN))) | (~aElementOf0(W0, szDzozmdt0(xN))))))), rewrite(((~sdtlseqdt0(W1, W0)) | (~((~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, W0))) | aElementOf0(W2, sdtlpdtrp0(xN, W1)))) | (~aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1))))) | ((~aElementOf0(W1, szDzozmdt0(xN))) | (~aElementOf0(W0, szDzozmdt0(xN))))) <=> ((~sdtlseqdt0(W1, W0)) | (~aElementOf0(W1, szDzozmdt0(xN))) | (~aElementOf0(W0, szDzozmdt0(xN))) | (~((~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, W0))) | aElementOf0(W2, sdtlpdtrp0(xN, W1)))) | (~aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1))))))), (((~sdtlseqdt0(W1, W0)) | (![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, W0))) | aElementOf0(W2, sdtlpdtrp0(xN, W1))) & aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1))) | (~(aElementOf0(W0, szDzozmdt0(xN)) & aElementOf0(W1, szDzozmdt0(xN))))) <=> ((~sdtlseqdt0(W1, W0)) | (~aElementOf0(W1, szDzozmdt0(xN))) | (~aElementOf0(W0, szDzozmdt0(xN))) | (~((~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, W0))) | aElementOf0(W2, sdtlpdtrp0(xN, W1)))) | (~aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1))))))))),
% 253.66/163.46      inference(bind,[status(th)],[])).
% 253.66/163.46  tff(164,plain,
% 253.66/163.46      (![W0: $i, W1: $i] : ((~sdtlseqdt0(W1, W0)) | (![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, W0))) | aElementOf0(W2, sdtlpdtrp0(xN, W1))) & aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1))) | (~(aElementOf0(W0, szDzozmdt0(xN)) & aElementOf0(W1, szDzozmdt0(xN))))) <=> ![W0: $i, W1: $i] : ((~sdtlseqdt0(W1, W0)) | (~aElementOf0(W1, szDzozmdt0(xN))) | (~aElementOf0(W0, szDzozmdt0(xN))) | (~((~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, W0))) | aElementOf0(W2, sdtlpdtrp0(xN, W1)))) | (~aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1))))))),
% 253.66/163.46      inference(quant_intro,[status(thm)],[163])).
% 253.66/163.46  tff(165,plain,
% 253.66/163.46      (^[W0: $i, W1: $i] : trans(monotonicity(rewrite((~(aElementOf0(W0, szNzAzT0) & aElementOf0(W1, szNzAzT0))) <=> (~(aElementOf0(W0, szDzozmdt0(xN)) & aElementOf0(W1, szDzozmdt0(xN))))), rewrite((![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, W0))) | aElementOf0(W2, sdtlpdtrp0(xN, W1))) & aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1))) <=> (![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, W0))) | aElementOf0(W2, sdtlpdtrp0(xN, W1))) & aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1)))), (((~(aElementOf0(W0, szNzAzT0) & aElementOf0(W1, szNzAzT0))) | (~sdtlseqdt0(W1, W0)) | (![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, W0))) | aElementOf0(W2, sdtlpdtrp0(xN, W1))) & aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1)))) <=> ((~(aElementOf0(W0, szDzozmdt0(xN)) & aElementOf0(W1, szDzozmdt0(xN)))) | (~sdtlseqdt0(W1, W0)) | (![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, W0))) | aElementOf0(W2, sdtlpdtrp0(xN, W1))) & aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1)))))), rewrite(((~(aElementOf0(W0, szDzozmdt0(xN)) & aElementOf0(W1, szDzozmdt0(xN)))) | (~sdtlseqdt0(W1, W0)) | (![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, W0))) | aElementOf0(W2, sdtlpdtrp0(xN, W1))) & aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1)))) <=> ((~sdtlseqdt0(W1, W0)) | (![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, W0))) | aElementOf0(W2, sdtlpdtrp0(xN, W1))) & aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1))) | (~(aElementOf0(W0, szDzozmdt0(xN)) & aElementOf0(W1, szDzozmdt0(xN)))))), (((~(aElementOf0(W0, szNzAzT0) & aElementOf0(W1, szNzAzT0))) | (~sdtlseqdt0(W1, W0)) | (![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, W0))) | aElementOf0(W2, sdtlpdtrp0(xN, W1))) & aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1)))) <=> ((~sdtlseqdt0(W1, W0)) | (![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, W0))) | aElementOf0(W2, sdtlpdtrp0(xN, W1))) & aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1))) | (~(aElementOf0(W0, szDzozmdt0(xN)) & aElementOf0(W1, szDzozmdt0(xN)))))))),
% 253.66/163.46      inference(bind,[status(th)],[])).
% 253.66/163.46  tff(166,plain,
% 253.66/163.46      (![W0: $i, W1: $i] : ((~(aElementOf0(W0, szNzAzT0) & aElementOf0(W1, szNzAzT0))) | (~sdtlseqdt0(W1, W0)) | (![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, W0))) | aElementOf0(W2, sdtlpdtrp0(xN, W1))) & aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1)))) <=> ![W0: $i, W1: $i] : ((~sdtlseqdt0(W1, W0)) | (![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, W0))) | aElementOf0(W2, sdtlpdtrp0(xN, W1))) & aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1))) | (~(aElementOf0(W0, szDzozmdt0(xN)) & aElementOf0(W1, szDzozmdt0(xN)))))),
% 253.66/163.46      inference(quant_intro,[status(thm)],[165])).
% 253.66/163.46  tff(167,plain,
% 253.66/163.46      (![W0: $i, W1: $i] : ((~(aElementOf0(W0, szNzAzT0) & aElementOf0(W1, szNzAzT0))) | (~sdtlseqdt0(W1, W0)) | (![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, W0))) | aElementOf0(W2, sdtlpdtrp0(xN, W1))) & aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1)))) <=> ![W0: $i, W1: $i] : ((~(aElementOf0(W0, szNzAzT0) & aElementOf0(W1, szNzAzT0))) | (~sdtlseqdt0(W1, W0)) | (![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, W0))) | aElementOf0(W2, sdtlpdtrp0(xN, W1))) & aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1))))),
% 253.66/163.46      inference(rewrite,[status(thm)],[])).
% 253.66/163.46  tff(168,plain,
% 253.66/163.46      (^[W0: $i, W1: $i] : trans(monotonicity(trans(monotonicity(rewrite((![W2: $i] : (aElementOf0(W2, sdtlpdtrp0(xN, W0)) => aElementOf0(W2, sdtlpdtrp0(xN, W1))) & aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1))) <=> (![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, W0))) | aElementOf0(W2, sdtlpdtrp0(xN, W1))) & aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1)))), ((sdtlseqdt0(W1, W0) => (![W2: $i] : (aElementOf0(W2, sdtlpdtrp0(xN, W0)) => aElementOf0(W2, sdtlpdtrp0(xN, W1))) & aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1)))) <=> (sdtlseqdt0(W1, W0) => (![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, W0))) | aElementOf0(W2, sdtlpdtrp0(xN, W1))) & aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1)))))), rewrite((sdtlseqdt0(W1, W0) => (![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, W0))) | aElementOf0(W2, sdtlpdtrp0(xN, W1))) & aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1)))) <=> ((~sdtlseqdt0(W1, W0)) | (![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, W0))) | aElementOf0(W2, sdtlpdtrp0(xN, W1))) & aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1))))), ((sdtlseqdt0(W1, W0) => (![W2: $i] : (aElementOf0(W2, sdtlpdtrp0(xN, W0)) => aElementOf0(W2, sdtlpdtrp0(xN, W1))) & aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1)))) <=> ((~sdtlseqdt0(W1, W0)) | (![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, W0))) | aElementOf0(W2, sdtlpdtrp0(xN, W1))) & aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1)))))), (((aElementOf0(W0, szNzAzT0) & aElementOf0(W1, szNzAzT0)) => (sdtlseqdt0(W1, W0) => (![W2: $i] : (aElementOf0(W2, sdtlpdtrp0(xN, W0)) => aElementOf0(W2, sdtlpdtrp0(xN, W1))) & aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1))))) <=> ((aElementOf0(W0, szNzAzT0) & aElementOf0(W1, szNzAzT0)) => ((~sdtlseqdt0(W1, W0)) | (![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, W0))) | aElementOf0(W2, sdtlpdtrp0(xN, W1))) & aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1))))))), rewrite(((aElementOf0(W0, szNzAzT0) & aElementOf0(W1, szNzAzT0)) => ((~sdtlseqdt0(W1, W0)) | (![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, W0))) | aElementOf0(W2, sdtlpdtrp0(xN, W1))) & aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1))))) <=> ((~(aElementOf0(W0, szNzAzT0) & aElementOf0(W1, szNzAzT0))) | (~sdtlseqdt0(W1, W0)) | (![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, W0))) | aElementOf0(W2, sdtlpdtrp0(xN, W1))) & aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1))))), (((aElementOf0(W0, szNzAzT0) & aElementOf0(W1, szNzAzT0)) => (sdtlseqdt0(W1, W0) => (![W2: $i] : (aElementOf0(W2, sdtlpdtrp0(xN, W0)) => aElementOf0(W2, sdtlpdtrp0(xN, W1))) & aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1))))) <=> ((~(aElementOf0(W0, szNzAzT0) & aElementOf0(W1, szNzAzT0))) | (~sdtlseqdt0(W1, W0)) | (![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, W0))) | aElementOf0(W2, sdtlpdtrp0(xN, W1))) & aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1))))))),
% 253.66/163.47      inference(bind,[status(th)],[])).
% 253.66/163.47  tff(169,plain,
% 253.66/163.47      (![W0: $i, W1: $i] : ((aElementOf0(W0, szNzAzT0) & aElementOf0(W1, szNzAzT0)) => (sdtlseqdt0(W1, W0) => (![W2: $i] : (aElementOf0(W2, sdtlpdtrp0(xN, W0)) => aElementOf0(W2, sdtlpdtrp0(xN, W1))) & aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1))))) <=> ![W0: $i, W1: $i] : ((~(aElementOf0(W0, szNzAzT0) & aElementOf0(W1, szNzAzT0))) | (~sdtlseqdt0(W1, W0)) | (![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, W0))) | aElementOf0(W2, sdtlpdtrp0(xN, W1))) & aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1))))),
% 253.66/163.47      inference(quant_intro,[status(thm)],[168])).
% 253.66/163.47  tff(170,axiom,(![W0: $i, W1: $i] : ((aElementOf0(W0, szNzAzT0) & aElementOf0(W1, szNzAzT0)) => (sdtlseqdt0(W1, W0) => (![W2: $i] : (aElementOf0(W2, sdtlpdtrp0(xN, W0)) => aElementOf0(W2, sdtlpdtrp0(xN, W1))) & aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m__3754')).
% 253.66/163.47  tff(171,plain,
% 253.66/163.47      (![W0: $i, W1: $i] : ((~(aElementOf0(W0, szNzAzT0) & aElementOf0(W1, szNzAzT0))) | (~sdtlseqdt0(W1, W0)) | (![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, W0))) | aElementOf0(W2, sdtlpdtrp0(xN, W1))) & aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1))))),
% 253.66/163.47      inference(modus_ponens,[status(thm)],[170, 169])).
% 253.66/163.47  tff(172,plain,
% 253.66/163.47      (![W0: $i, W1: $i] : ((~(aElementOf0(W0, szNzAzT0) & aElementOf0(W1, szNzAzT0))) | (~sdtlseqdt0(W1, W0)) | (![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, W0))) | aElementOf0(W2, sdtlpdtrp0(xN, W1))) & aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1))))),
% 253.66/163.47      inference(modus_ponens,[status(thm)],[171, 167])).
% 253.66/163.47  tff(173,plain,
% 253.66/163.47      (![W0: $i, W1: $i] : ((~sdtlseqdt0(W1, W0)) | (![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, W0))) | aElementOf0(W2, sdtlpdtrp0(xN, W1))) & aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1))) | (~(aElementOf0(W0, szDzozmdt0(xN)) & aElementOf0(W1, szDzozmdt0(xN)))))),
% 253.66/163.47      inference(modus_ponens,[status(thm)],[172, 166])).
% 253.66/163.47  tff(174,plain,(
% 253.66/163.47      ![W0: $i, W1: $i] : ((~sdtlseqdt0(W1, W0)) | (![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, W0))) | aElementOf0(W2, sdtlpdtrp0(xN, W1))) & aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1))) | (~(aElementOf0(W0, szDzozmdt0(xN)) & aElementOf0(W1, szDzozmdt0(xN)))))),
% 253.66/163.47      inference(skolemize,[status(sab)],[173])).
% 253.66/163.47  tff(175,plain,
% 253.66/163.47      (![W0: $i, W1: $i] : ((~sdtlseqdt0(W1, W0)) | (~aElementOf0(W1, szDzozmdt0(xN))) | (~aElementOf0(W0, szDzozmdt0(xN))) | (~((~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, W0))) | aElementOf0(W2, sdtlpdtrp0(xN, W1)))) | (~aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1))))))),
% 253.66/163.47      inference(modus_ponens,[status(thm)],[174, 164])).
% 253.66/163.47  tff(176,plain,
% 253.66/163.47      (![W0: $i, W1: $i] : ((~sdtlseqdt0(W1, W0)) | (~aElementOf0(W1, szDzozmdt0(xN))) | (~aElementOf0(W0, szDzozmdt0(xN))) | (~((~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, W0))) | aElementOf0(W2, sdtlpdtrp0(xN, W1)))) | (~aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1))))))),
% 253.66/163.47      inference(modus_ponens,[status(thm)],[175, 162])).
% 253.66/163.47  tff(177,plain,
% 253.66/163.47      (![W0: $i, W1: $i] : ((~sdtlseqdt0(W1, W0)) | (~aElementOf0(W1, szDzozmdt0(xN))) | (~aElementOf0(W0, szDzozmdt0(xN))) | (~((~aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1))) | (~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, W0))) | aElementOf0(W2, sdtlpdtrp0(xN, W1)))))))),
% 253.66/163.47      inference(modus_ponens,[status(thm)],[176, 157])).
% 253.66/163.47  tff(178,plain,
% 253.66/163.47      (((~![W0: $i, W1: $i] : ((~sdtlseqdt0(W1, W0)) | (~aElementOf0(W1, szDzozmdt0(xN))) | (~aElementOf0(W0, szDzozmdt0(xN))) | (~((~aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1))) | (~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, W0))) | aElementOf0(W2, sdtlpdtrp0(xN, W1)))))))) | ((~sdtlseqdt0(szszuzczcdt0(xn), xm)) | (~aElementOf0(xm, szDzozmdt0(xN))) | (~aElementOf0(szszuzczcdt0(xn), szDzozmdt0(xN))) | (~((~aSubsetOf0(sdtlpdtrp0(xN, xm), sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, xm))) | aElementOf0(W2, sdtlpdtrp0(xN, szszuzczcdt0(xn))))))))) <=> ((~![W0: $i, W1: $i] : ((~sdtlseqdt0(W1, W0)) | (~aElementOf0(W1, szDzozmdt0(xN))) | (~aElementOf0(W0, szDzozmdt0(xN))) | (~((~aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1))) | (~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, W0))) | aElementOf0(W2, sdtlpdtrp0(xN, W1)))))))) | (~sdtlseqdt0(szszuzczcdt0(xn), xm)) | (~aElementOf0(xm, szDzozmdt0(xN))) | (~aElementOf0(szszuzczcdt0(xn), szDzozmdt0(xN))) | (~((~aSubsetOf0(sdtlpdtrp0(xN, xm), sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, xm))) | aElementOf0(W2, sdtlpdtrp0(xN, szszuzczcdt0(xn))))))))),
% 253.66/163.47      inference(rewrite,[status(thm)],[])).
% 253.66/163.47  tff(179,plain,
% 253.66/163.47      (((~sdtlseqdt0(szszuzczcdt0(xn), xm)) | (~aElementOf0(szszuzczcdt0(xn), szDzozmdt0(xN))) | (~aElementOf0(xm, szDzozmdt0(xN))) | (~((~aSubsetOf0(sdtlpdtrp0(xN, xm), sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, xm))) | aElementOf0(W2, sdtlpdtrp0(xN, szszuzczcdt0(xn)))))))) <=> ((~sdtlseqdt0(szszuzczcdt0(xn), xm)) | (~aElementOf0(xm, szDzozmdt0(xN))) | (~aElementOf0(szszuzczcdt0(xn), szDzozmdt0(xN))) | (~((~aSubsetOf0(sdtlpdtrp0(xN, xm), sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, xm))) | aElementOf0(W2, sdtlpdtrp0(xN, szszuzczcdt0(xn))))))))),
% 253.66/163.47      inference(rewrite,[status(thm)],[])).
% 253.66/163.47  tff(180,plain,
% 253.66/163.47      ((~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, xm))) | aElementOf0(W2, sdtlpdtrp0(xN, szszuzczcdt0(xn))))) <=> (~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, xm))) | aElementOf0(W2, sdtlpdtrp0(xN, szszuzczcdt0(xn)))))),
% 253.66/163.47      inference(rewrite,[status(thm)],[])).
% 253.66/163.47  tff(181,plain,
% 253.66/163.47      (((~aSubsetOf0(sdtlpdtrp0(xN, xm), sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, xm))) | aElementOf0(W2, sdtlpdtrp0(xN, szszuzczcdt0(xn)))))) <=> ((~aSubsetOf0(sdtlpdtrp0(xN, xm), sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, xm))) | aElementOf0(W2, sdtlpdtrp0(xN, szszuzczcdt0(xn))))))),
% 253.66/163.47      inference(monotonicity,[status(thm)],[180])).
% 253.66/163.47  tff(182,plain,
% 253.66/163.47      ((~((~aSubsetOf0(sdtlpdtrp0(xN, xm), sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, xm))) | aElementOf0(W2, sdtlpdtrp0(xN, szszuzczcdt0(xn))))))) <=> (~((~aSubsetOf0(sdtlpdtrp0(xN, xm), sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, xm))) | aElementOf0(W2, sdtlpdtrp0(xN, szszuzczcdt0(xn)))))))),
% 253.66/163.47      inference(monotonicity,[status(thm)],[181])).
% 253.66/163.47  tff(183,plain,
% 253.66/163.47      (((~sdtlseqdt0(szszuzczcdt0(xn), xm)) | (~aElementOf0(szszuzczcdt0(xn), szDzozmdt0(xN))) | (~aElementOf0(xm, szDzozmdt0(xN))) | (~((~aSubsetOf0(sdtlpdtrp0(xN, xm), sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, xm))) | aElementOf0(W2, sdtlpdtrp0(xN, szszuzczcdt0(xn)))))))) <=> ((~sdtlseqdt0(szszuzczcdt0(xn), xm)) | (~aElementOf0(szszuzczcdt0(xn), szDzozmdt0(xN))) | (~aElementOf0(xm, szDzozmdt0(xN))) | (~((~aSubsetOf0(sdtlpdtrp0(xN, xm), sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, xm))) | aElementOf0(W2, sdtlpdtrp0(xN, szszuzczcdt0(xn))))))))),
% 253.66/163.47      inference(monotonicity,[status(thm)],[182])).
% 253.66/163.47  tff(184,plain,
% 253.66/163.47      (((~sdtlseqdt0(szszuzczcdt0(xn), xm)) | (~aElementOf0(szszuzczcdt0(xn), szDzozmdt0(xN))) | (~aElementOf0(xm, szDzozmdt0(xN))) | (~((~aSubsetOf0(sdtlpdtrp0(xN, xm), sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, xm))) | aElementOf0(W2, sdtlpdtrp0(xN, szszuzczcdt0(xn)))))))) <=> ((~sdtlseqdt0(szszuzczcdt0(xn), xm)) | (~aElementOf0(xm, szDzozmdt0(xN))) | (~aElementOf0(szszuzczcdt0(xn), szDzozmdt0(xN))) | (~((~aSubsetOf0(sdtlpdtrp0(xN, xm), sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, xm))) | aElementOf0(W2, sdtlpdtrp0(xN, szszuzczcdt0(xn))))))))),
% 253.66/163.47      inference(transitivity,[status(thm)],[183, 179])).
% 253.66/163.47  tff(185,plain,
% 253.66/163.47      (((~![W0: $i, W1: $i] : ((~sdtlseqdt0(W1, W0)) | (~aElementOf0(W1, szDzozmdt0(xN))) | (~aElementOf0(W0, szDzozmdt0(xN))) | (~((~aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1))) | (~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, W0))) | aElementOf0(W2, sdtlpdtrp0(xN, W1)))))))) | ((~sdtlseqdt0(szszuzczcdt0(xn), xm)) | (~aElementOf0(szszuzczcdt0(xn), szDzozmdt0(xN))) | (~aElementOf0(xm, szDzozmdt0(xN))) | (~((~aSubsetOf0(sdtlpdtrp0(xN, xm), sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, xm))) | aElementOf0(W2, sdtlpdtrp0(xN, szszuzczcdt0(xn))))))))) <=> ((~![W0: $i, W1: $i] : ((~sdtlseqdt0(W1, W0)) | (~aElementOf0(W1, szDzozmdt0(xN))) | (~aElementOf0(W0, szDzozmdt0(xN))) | (~((~aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1))) | (~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, W0))) | aElementOf0(W2, sdtlpdtrp0(xN, W1)))))))) | ((~sdtlseqdt0(szszuzczcdt0(xn), xm)) | (~aElementOf0(xm, szDzozmdt0(xN))) | (~aElementOf0(szszuzczcdt0(xn), szDzozmdt0(xN))) | (~((~aSubsetOf0(sdtlpdtrp0(xN, xm), sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, xm))) | aElementOf0(W2, sdtlpdtrp0(xN, szszuzczcdt0(xn)))))))))),
% 253.66/163.47      inference(monotonicity,[status(thm)],[184])).
% 253.66/163.47  tff(186,plain,
% 253.66/163.47      (((~![W0: $i, W1: $i] : ((~sdtlseqdt0(W1, W0)) | (~aElementOf0(W1, szDzozmdt0(xN))) | (~aElementOf0(W0, szDzozmdt0(xN))) | (~((~aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1))) | (~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, W0))) | aElementOf0(W2, sdtlpdtrp0(xN, W1)))))))) | ((~sdtlseqdt0(szszuzczcdt0(xn), xm)) | (~aElementOf0(szszuzczcdt0(xn), szDzozmdt0(xN))) | (~aElementOf0(xm, szDzozmdt0(xN))) | (~((~aSubsetOf0(sdtlpdtrp0(xN, xm), sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, xm))) | aElementOf0(W2, sdtlpdtrp0(xN, szszuzczcdt0(xn))))))))) <=> ((~![W0: $i, W1: $i] : ((~sdtlseqdt0(W1, W0)) | (~aElementOf0(W1, szDzozmdt0(xN))) | (~aElementOf0(W0, szDzozmdt0(xN))) | (~((~aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1))) | (~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, W0))) | aElementOf0(W2, sdtlpdtrp0(xN, W1)))))))) | (~sdtlseqdt0(szszuzczcdt0(xn), xm)) | (~aElementOf0(xm, szDzozmdt0(xN))) | (~aElementOf0(szszuzczcdt0(xn), szDzozmdt0(xN))) | (~((~aSubsetOf0(sdtlpdtrp0(xN, xm), sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, xm))) | aElementOf0(W2, sdtlpdtrp0(xN, szszuzczcdt0(xn))))))))),
% 253.69/163.48      inference(transitivity,[status(thm)],[185, 178])).
% 253.69/163.48  tff(187,plain,
% 253.69/163.48      ((~![W0: $i, W1: $i] : ((~sdtlseqdt0(W1, W0)) | (~aElementOf0(W1, szDzozmdt0(xN))) | (~aElementOf0(W0, szDzozmdt0(xN))) | (~((~aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1))) | (~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, W0))) | aElementOf0(W2, sdtlpdtrp0(xN, W1)))))))) | ((~sdtlseqdt0(szszuzczcdt0(xn), xm)) | (~aElementOf0(szszuzczcdt0(xn), szDzozmdt0(xN))) | (~aElementOf0(xm, szDzozmdt0(xN))) | (~((~aSubsetOf0(sdtlpdtrp0(xN, xm), sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, xm))) | aElementOf0(W2, sdtlpdtrp0(xN, szszuzczcdt0(xn))))))))),
% 253.69/163.48      inference(quant_inst,[status(thm)],[])).
% 253.69/163.48  tff(188,plain,
% 253.69/163.48      ((~![W0: $i, W1: $i] : ((~sdtlseqdt0(W1, W0)) | (~aElementOf0(W1, szDzozmdt0(xN))) | (~aElementOf0(W0, szDzozmdt0(xN))) | (~((~aSubsetOf0(sdtlpdtrp0(xN, W0), sdtlpdtrp0(xN, W1))) | (~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, W0))) | aElementOf0(W2, sdtlpdtrp0(xN, W1)))))))) | (~sdtlseqdt0(szszuzczcdt0(xn), xm)) | (~aElementOf0(xm, szDzozmdt0(xN))) | (~aElementOf0(szszuzczcdt0(xn), szDzozmdt0(xN))) | (~((~aSubsetOf0(sdtlpdtrp0(xN, xm), sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, xm))) | aElementOf0(W2, sdtlpdtrp0(xN, szszuzczcdt0(xn)))))))),
% 253.69/163.48      inference(modus_ponens,[status(thm)],[187, 186])).
% 253.69/163.48  tff(189,plain,
% 253.69/163.48      ((~aElementOf0(szszuzczcdt0(xn), szDzozmdt0(xN))) | (~((~aSubsetOf0(sdtlpdtrp0(xN, xm), sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, xm))) | aElementOf0(W2, sdtlpdtrp0(xN, szszuzczcdt0(xn)))))))),
% 253.69/163.48      inference(unit_resolution,[status(thm)],[188, 177, 155, 150])).
% 253.69/163.48  tff(190,plain,
% 253.69/163.48      (~((~aSubsetOf0(sdtlpdtrp0(xN, xm), sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, xm))) | aElementOf0(W2, sdtlpdtrp0(xN, szszuzczcdt0(xn))))))),
% 253.69/163.48      inference(unit_resolution,[status(thm)],[189, 144])).
% 253.69/163.48  tff(191,plain,
% 253.69/163.48      (((~aSubsetOf0(sdtlpdtrp0(xN, xm), sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, xm))) | aElementOf0(W2, sdtlpdtrp0(xN, szszuzczcdt0(xn)))))) | ![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, xm))) | aElementOf0(W2, sdtlpdtrp0(xN, szszuzczcdt0(xn))))),
% 253.69/163.48      inference(tautology,[status(thm)],[])).
% 253.69/163.48  tff(192,plain,
% 253.69/163.48      (![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, xm))) | aElementOf0(W2, sdtlpdtrp0(xN, szszuzczcdt0(xn))))),
% 253.69/163.48      inference(unit_resolution,[status(thm)],[191, 190])).
% 253.69/163.48  tff(193,plain,
% 253.69/163.48      (((~![W0: $i] : ((~aElementOf0(W0, szDzozmdt0(xN))) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, W0))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szDzozmdt0(xN)))))))) | ((~aElementOf0(xm, szDzozmdt0(xN))) | (~((~aSet0(sdtlpdtrp0(xN, xm))) | (~aSubsetOf0(sdtlpdtrp0(xN, xm), szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, xm))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, xm))) | aElementOf0(W1, szDzozmdt0(xN)))))))) <=> ((~![W0: $i] : ((~aElementOf0(W0, szDzozmdt0(xN))) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, W0))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szDzozmdt0(xN)))))))) | (~aElementOf0(xm, szDzozmdt0(xN))) | (~((~aSet0(sdtlpdtrp0(xN, xm))) | (~aSubsetOf0(sdtlpdtrp0(xN, xm), szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, xm))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, xm))) | aElementOf0(W1, szDzozmdt0(xN)))))))),
% 253.69/163.48      inference(rewrite,[status(thm)],[])).
% 253.69/163.48  tff(194,plain,
% 253.69/163.48      ((~![W0: $i] : ((~aElementOf0(W0, szDzozmdt0(xN))) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, W0))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szDzozmdt0(xN)))))))) | ((~aElementOf0(xm, szDzozmdt0(xN))) | (~((~aSet0(sdtlpdtrp0(xN, xm))) | (~aSubsetOf0(sdtlpdtrp0(xN, xm), szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, xm))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, xm))) | aElementOf0(W1, szDzozmdt0(xN)))))))),
% 253.69/163.48      inference(quant_inst,[status(thm)],[])).
% 253.69/163.48  tff(195,plain,
% 253.69/163.48      ((~![W0: $i] : ((~aElementOf0(W0, szDzozmdt0(xN))) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, W0))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | aElementOf0(W1, szDzozmdt0(xN)))))))) | (~aElementOf0(xm, szDzozmdt0(xN))) | (~((~aSet0(sdtlpdtrp0(xN, xm))) | (~aSubsetOf0(sdtlpdtrp0(xN, xm), szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, xm))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, xm))) | aElementOf0(W1, szDzozmdt0(xN))))))),
% 253.69/163.48      inference(modus_ponens,[status(thm)],[194, 193])).
% 253.69/163.48  tff(196,plain,
% 253.69/163.48      (~((~aSet0(sdtlpdtrp0(xN, xm))) | (~aSubsetOf0(sdtlpdtrp0(xN, xm), szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, xm))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, xm))) | aElementOf0(W1, szDzozmdt0(xN)))))),
% 253.69/163.48      inference(unit_resolution,[status(thm)],[195, 28, 155])).
% 253.69/163.48  tff(197,plain,
% 253.69/163.48      (((~aSet0(sdtlpdtrp0(xN, xm))) | (~aSubsetOf0(sdtlpdtrp0(xN, xm), szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, xm))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, xm))) | aElementOf0(W1, szDzozmdt0(xN))))) | isCountable0(sdtlpdtrp0(xN, xm))),
% 253.69/163.48      inference(tautology,[status(thm)],[])).
% 253.69/163.48  tff(198,plain,
% 253.69/163.48      (isCountable0(sdtlpdtrp0(xN, xm))),
% 253.69/163.48      inference(unit_resolution,[status(thm)],[197, 196])).
% 253.69/163.48  tff(199,plain,
% 253.69/163.48      (((~aSet0(sdtlpdtrp0(xN, xm))) | (~aSubsetOf0(sdtlpdtrp0(xN, xm), szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, xm))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, xm))) | aElementOf0(W1, szDzozmdt0(xN))))) | aSubsetOf0(sdtlpdtrp0(xN, xm), szDzozmdt0(xN))),
% 253.69/163.48      inference(tautology,[status(thm)],[])).
% 253.69/163.48  tff(200,plain,
% 253.69/163.48      (aSubsetOf0(sdtlpdtrp0(xN, xm), szDzozmdt0(xN))),
% 253.69/163.48      inference(unit_resolution,[status(thm)],[199, 196])).
% 253.69/163.48  tff(201,plain,
% 253.69/163.48      ((aSubsetOf0(sdtlpdtrp0(xN, xm), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, xm))) | (~((~aElementOf0(tptp_fun_W1_29(xm), sdtlpdtrp0(xN, xm))) | aElementOf0(tptp_fun_W1_29(xm), szDzozmdt0(xN))))))) | (~aSubsetOf0(sdtlpdtrp0(xN, xm), szDzozmdt0(xN)))),
% 253.69/163.48      inference(tautology,[status(thm)],[])).
% 253.69/163.48  tff(202,plain,
% 253.69/163.48      (aSubsetOf0(sdtlpdtrp0(xN, xm), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, xm))) | (~((~aElementOf0(tptp_fun_W1_29(xm), sdtlpdtrp0(xN, xm))) | aElementOf0(tptp_fun_W1_29(xm), szDzozmdt0(xN))))))),
% 253.69/163.48      inference(unit_resolution,[status(thm)],[201, 200])).
% 253.69/163.48  tff(203,plain,
% 253.69/163.48      (((~![W0: $i] : ((~aElementOf0(W0, szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, W0))) | (~(aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(tptp_fun_W1_29(W0), sdtlpdtrp0(xN, W0))) | aElementOf0(tptp_fun_W1_29(W0), szDzozmdt0(xN)))))))) | (~((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))))))))) | ((~aElementOf0(xm, szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, xm))) | (~(aSubsetOf0(sdtlpdtrp0(xN, xm), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, xm))) | (~((~aElementOf0(tptp_fun_W1_29(xm), sdtlpdtrp0(xN, xm))) | aElementOf0(tptp_fun_W1_29(xm), szDzozmdt0(xN)))))))) | (~((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xm))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, xm), szmzizndt0(sdtlpdtrp0(xN, xm))))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(xm)))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(xm)), sdtmndt0(sdtlpdtrp0(xN, xm), szmzizndt0(sdtlpdtrp0(xN, xm))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(xm)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, xm))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W1))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xm), szmzizndt0(sdtlpdtrp0(xN, xm)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, xm))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, xm))))))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(xm)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xm), szmzizndt0(sdtlpdtrp0(xN, xm)))))))))) <=> ((~![W0: $i] : ((~aElementOf0(W0, szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, W0))) | (~(aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(tptp_fun_W1_29(W0), sdtlpdtrp0(xN, W0))) | aElementOf0(tptp_fun_W1_29(W0), szDzozmdt0(xN)))))))) | (~((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))))))))) | (~aElementOf0(xm, szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, xm))) | (~(aSubsetOf0(sdtlpdtrp0(xN, xm), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, xm))) | (~((~aElementOf0(tptp_fun_W1_29(xm), sdtlpdtrp0(xN, xm))) | aElementOf0(tptp_fun_W1_29(xm), szDzozmdt0(xN)))))))) | (~((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xm))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, xm), szmzizndt0(sdtlpdtrp0(xN, xm))))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(xm)))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(xm)), sdtmndt0(sdtlpdtrp0(xN, xm), szmzizndt0(sdtlpdtrp0(xN, xm))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(xm)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, xm))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W1))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xm), szmzizndt0(sdtlpdtrp0(xN, xm)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, xm))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, xm))))))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(xm)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xm), szmzizndt0(sdtlpdtrp0(xN, xm)))))))))),
% 253.69/163.48      inference(rewrite,[status(thm)],[])).
% 253.69/163.48  tff(204,plain,
% 253.69/163.48      ((~![W0: $i] : ((~aElementOf0(W0, szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, W0))) | (~(aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(tptp_fun_W1_29(W0), sdtlpdtrp0(xN, W0))) | aElementOf0(tptp_fun_W1_29(W0), szDzozmdt0(xN)))))))) | (~((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))))))))) | ((~aElementOf0(xm, szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, xm))) | (~(aSubsetOf0(sdtlpdtrp0(xN, xm), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, xm))) | (~((~aElementOf0(tptp_fun_W1_29(xm), sdtlpdtrp0(xN, xm))) | aElementOf0(tptp_fun_W1_29(xm), szDzozmdt0(xN)))))))) | (~((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xm))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, xm), szmzizndt0(sdtlpdtrp0(xN, xm))))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(xm)))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(xm)), sdtmndt0(sdtlpdtrp0(xN, xm), szmzizndt0(sdtlpdtrp0(xN, xm))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(xm)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, xm))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W1))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xm), szmzizndt0(sdtlpdtrp0(xN, xm)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, xm))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, xm))))))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(xm)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xm), szmzizndt0(sdtlpdtrp0(xN, xm)))))))))),
% 253.69/163.49      inference(quant_inst,[status(thm)],[])).
% 253.69/163.49  tff(205,plain,
% 253.69/163.49      ((~![W0: $i] : ((~aElementOf0(W0, szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, W0))) | (~(aSubsetOf0(sdtlpdtrp0(xN, W0), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, W0))) | (~((~aElementOf0(tptp_fun_W1_29(W0), sdtlpdtrp0(xN, W0))) | aElementOf0(tptp_fun_W1_29(W0), szDzozmdt0(xN)))))))) | (~((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0)), sdtlpdtrp0(xN, W0))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0)), sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0)), W1))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, W0))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, W0))))))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(W0)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, W0), szmzizndt0(sdtlpdtrp0(xN, W0)))))))))) | (~aElementOf0(xm, szDzozmdt0(xN))) | (~isCountable0(sdtlpdtrp0(xN, xm))) | (~(aSubsetOf0(sdtlpdtrp0(xN, xm), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, xm))) | (~((~aElementOf0(tptp_fun_W1_29(xm), sdtlpdtrp0(xN, xm))) | aElementOf0(tptp_fun_W1_29(xm), szDzozmdt0(xN)))))))) | (~((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xm))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, xm), szmzizndt0(sdtlpdtrp0(xN, xm))))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(xm)))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(xm)), sdtmndt0(sdtlpdtrp0(xN, xm), szmzizndt0(sdtlpdtrp0(xN, xm))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(xm)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, xm))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W1))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xm), szmzizndt0(sdtlpdtrp0(xN, xm)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, xm))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, xm))))))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(xm)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xm), szmzizndt0(sdtlpdtrp0(xN, xm))))))))),
% 253.69/163.49      inference(modus_ponens,[status(thm)],[204, 203])).
% 253.69/163.49  tff(206,plain,
% 253.69/163.49      ((~isCountable0(sdtlpdtrp0(xN, xm))) | (~(aSubsetOf0(sdtlpdtrp0(xN, xm), szDzozmdt0(xN)) | (~((~aSet0(sdtlpdtrp0(xN, xm))) | (~((~aElementOf0(tptp_fun_W1_29(xm), sdtlpdtrp0(xN, xm))) | aElementOf0(tptp_fun_W1_29(xm), szDzozmdt0(xN)))))))) | (~((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xm))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, xm), szmzizndt0(sdtlpdtrp0(xN, xm))))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(xm)))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(xm)), sdtmndt0(sdtlpdtrp0(xN, xm), szmzizndt0(sdtlpdtrp0(xN, xm))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(xm)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, xm))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W1))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xm), szmzizndt0(sdtlpdtrp0(xN, xm)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, xm))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, xm))))))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(xm)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xm), szmzizndt0(sdtlpdtrp0(xN, xm))))))))),
% 253.69/163.49      inference(unit_resolution,[status(thm)],[205, 64, 155])).
% 253.69/163.49  tff(207,plain,
% 253.69/163.49      (~((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xm))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, xm), szmzizndt0(sdtlpdtrp0(xN, xm))))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(xm)))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(xm)), sdtmndt0(sdtlpdtrp0(xN, xm), szmzizndt0(sdtlpdtrp0(xN, xm))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(xm)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, xm))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W1))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xm), szmzizndt0(sdtlpdtrp0(xN, xm)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, xm))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, xm))))))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(xm)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xm), szmzizndt0(sdtlpdtrp0(xN, xm)))))))),
% 253.69/163.49      inference(unit_resolution,[status(thm)],[206, 202, 198])).
% 253.69/163.49  tff(208,plain,
% 253.69/163.49      (((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xm))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, xm), szmzizndt0(sdtlpdtrp0(xN, xm))))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(xm)))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(xm)), sdtmndt0(sdtlpdtrp0(xN, xm), szmzizndt0(sdtlpdtrp0(xN, xm))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(xm)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, xm))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W1))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xm), szmzizndt0(sdtlpdtrp0(xN, xm)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, xm))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, xm))))))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(xm)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xm), szmzizndt0(sdtlpdtrp0(xN, xm))))))) | aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xm))),
% 253.69/163.49      inference(tautology,[status(thm)],[])).
% 253.69/163.49  tff(209,plain,
% 253.69/163.49      (aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xm))),
% 253.69/163.49      inference(unit_resolution,[status(thm)],[208, 207])).
% 253.69/163.49  tff(210,plain,
% 253.69/163.49      (((~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, xm))) | aElementOf0(W2, sdtlpdtrp0(xN, szszuzczcdt0(xn))))) | ((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xm))) | aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, szszuzczcdt0(xn))))) <=> ((~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, xm))) | aElementOf0(W2, sdtlpdtrp0(xN, szszuzczcdt0(xn))))) | (~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xm))) | aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, szszuzczcdt0(xn))))),
% 253.69/163.49      inference(rewrite,[status(thm)],[])).
% 253.69/163.49  tff(211,plain,
% 253.69/163.49      ((~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, xm))) | aElementOf0(W2, sdtlpdtrp0(xN, szszuzczcdt0(xn))))) | ((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xm))) | aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, szszuzczcdt0(xn))))),
% 253.69/163.49      inference(quant_inst,[status(thm)],[])).
% 253.69/163.49  tff(212,plain,
% 253.69/163.49      ((~![W2: $i] : ((~aElementOf0(W2, sdtlpdtrp0(xN, xm))) | aElementOf0(W2, sdtlpdtrp0(xN, szszuzczcdt0(xn))))) | (~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xm))) | aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, szszuzczcdt0(xn)))),
% 253.69/163.49      inference(modus_ponens,[status(thm)],[211, 210])).
% 253.69/163.49  tff(213,plain,
% 253.69/163.49      (aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, szszuzczcdt0(xn)))),
% 253.69/163.49      inference(unit_resolution,[status(thm)],[212, 209, 192])).
% 253.69/163.49  tff(214,plain,
% 253.69/163.49      (((~aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xn)), sdtlpdtrp0(xN, xn))) | (~aSet0(sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(xn)), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xn)), W1))) | (~![W1: $i] : (aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (~((~aElement0(W1)) | (~aElementOf0(W1, sdtlpdtrp0(xN, xn))) | (W1 = szmzizndt0(sdtlpdtrp0(xN, xn))))))) | (~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))))) | ![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))))),
% 253.69/163.49      inference(tautology,[status(thm)],[])).
% 253.69/163.49  tff(215,plain,
% 253.69/163.49      (![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))))),
% 253.69/163.49      inference(unit_resolution,[status(thm)],[214, 76])).
% 253.69/163.49  tff(216,plain,
% 253.69/163.49      (((~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))))) | ((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))))) <=> ((~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))))) | (~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))))),
% 253.69/163.49      inference(rewrite,[status(thm)],[])).
% 253.69/163.49  tff(217,plain,
% 253.69/163.49      ((~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))))) | ((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))))),
% 253.69/163.49      inference(quant_inst,[status(thm)],[])).
% 253.69/163.49  tff(218,plain,
% 253.69/163.49      ((~![W1: $i] : ((~aElementOf0(W1, sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | aElementOf0(W1, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))))) | (~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, szszuzczcdt0(xn)))) | aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))),
% 253.69/163.49      inference(modus_ponens,[status(thm)],[217, 216])).
% 253.69/163.49  tff(219,plain,
% 253.69/163.49      (aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))),
% 253.69/163.49      inference(unit_resolution,[status(thm)],[218, 215, 213])).
% 253.69/163.49  tff(220,plain,
% 253.69/163.49      ((~(aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (~((~aElement0(szmzizndt0(sdtlpdtrp0(xN, xm)))) | (~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xn))) | (szmzizndt0(sdtlpdtrp0(xN, xm)) = szmzizndt0(sdtlpdtrp0(xN, xn))))))) | (~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~((~aElement0(szmzizndt0(sdtlpdtrp0(xN, xm)))) | (~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xn))) | (szmzizndt0(sdtlpdtrp0(xN, xm)) = szmzizndt0(sdtlpdtrp0(xN, xn)))))),
% 253.69/163.49      inference(tautology,[status(thm)],[])).
% 253.69/163.50  tff(221,plain,
% 253.69/163.50      ((~(aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (~((~aElement0(szmzizndt0(sdtlpdtrp0(xN, xm)))) | (~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xn))) | (szmzizndt0(sdtlpdtrp0(xN, xm)) = szmzizndt0(sdtlpdtrp0(xN, xn))))))) | (~((~aElement0(szmzizndt0(sdtlpdtrp0(xN, xm)))) | (~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xn))) | (szmzizndt0(sdtlpdtrp0(xN, xm)) = szmzizndt0(sdtlpdtrp0(xN, xn)))))),
% 253.69/163.50      inference(unit_resolution,[status(thm)],[220, 219])).
% 253.69/163.50  tff(222,plain,
% 253.69/163.50      (~((~aElement0(szmzizndt0(sdtlpdtrp0(xN, xm)))) | (~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xn))) | (szmzizndt0(sdtlpdtrp0(xN, xm)) = szmzizndt0(sdtlpdtrp0(xN, xn))))),
% 253.69/163.50      inference(unit_resolution,[status(thm)],[221, 122])).
% 253.69/163.50  tff(223,plain,
% 253.69/163.50      (((~aElement0(szmzizndt0(sdtlpdtrp0(xN, xm)))) | (~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xn))) | (szmzizndt0(sdtlpdtrp0(xN, xm)) = szmzizndt0(sdtlpdtrp0(xN, xn)))) | (~(szmzizndt0(sdtlpdtrp0(xN, xm)) = szmzizndt0(sdtlpdtrp0(xN, xn))))),
% 253.69/163.50      inference(tautology,[status(thm)],[])).
% 253.69/163.50  tff(224,plain,
% 253.69/163.50      (~(szmzizndt0(sdtlpdtrp0(xN, xm)) = szmzizndt0(sdtlpdtrp0(xN, xn)))),
% 253.69/163.50      inference(unit_resolution,[status(thm)],[223, 222])).
% 253.69/163.50  tff(225,plain,
% 253.69/163.50      (((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xm))) | (~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xn))) | (~(szmzizndt0(sdtlpdtrp0(xN, xm)) = szmzizndt0(sdtlpdtrp0(xN, xn)))) | (~![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xm))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0))) | (~![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0)))) | (szmzizndt0(sdtlpdtrp0(xN, xm)) = szmzizndt0(sdtlpdtrp0(xN, xn)))),
% 253.69/163.50      inference(tautology,[status(thm)],[])).
% 253.69/163.50  tff(226,plain,
% 253.69/163.50      ((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xm))) | (~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xn))) | (~(szmzizndt0(sdtlpdtrp0(xN, xm)) = szmzizndt0(sdtlpdtrp0(xN, xn)))) | (~![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xm))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0))) | (~![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0)))),
% 253.69/163.50      inference(unit_resolution,[status(thm)],[225, 224])).
% 253.69/163.50  tff(227,plain,
% 253.69/163.50      (((~((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xm))) | (~![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xm))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0))) | (~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xn))) | (~![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0))) | (~(szmzizndt0(sdtlpdtrp0(xN, xm)) = szmzizndt0(sdtlpdtrp0(xN, xn)))))) | (~(aSubsetOf0(sdtlpdtrp0(xN, xm), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) | (~aElementOf0(W0!30, sdtlpdtrp0(xN, xm))) | aElementOf0(W0!30, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~![W0: $i] : (aElementOf0(W0, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (~((~aElement0(W0)) | (~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | (W0 = szmzizndt0(sdtlpdtrp0(xN, xn))))))) | (~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xn)), sdtlpdtrp0(xN, xn))) | (~![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xn)), W0)))))) <=> ((~((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xm))) | (~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xn))) | (~(szmzizndt0(sdtlpdtrp0(xN, xm)) = szmzizndt0(sdtlpdtrp0(xN, xn)))) | (~![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xm))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0))) | (~![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0))))) | (~(aSubsetOf0(sdtlpdtrp0(xN, xm), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) | (~aElementOf0(W0!30, sdtlpdtrp0(xN, xm))) | aElementOf0(W0!30, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xn)), sdtlpdtrp0(xN, xn))) | (~![W0: $i] : (aElementOf0(W0, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (~((~aElement0(W0)) | (~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | (W0 = szmzizndt0(sdtlpdtrp0(xN, xn))))))) | (~![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xn)), W0))))))),
% 253.69/163.50      inference(rewrite,[status(thm)],[])).
% 253.69/163.50  tff(228,plain,
% 253.69/163.50      (((~((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xm))) | (~![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xm))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0))) | (~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xn))) | (~![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0))) | (~(szmzizndt0(sdtlpdtrp0(xN, xm)) = szmzizndt0(sdtlpdtrp0(xN, xn)))))) | (~(aSubsetOf0(sdtlpdtrp0(xN, xm), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) | (~aElementOf0(W0!30, sdtlpdtrp0(xN, xm))) | aElementOf0(W0!30, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~![W0: $i] : (aElementOf0(W0, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (~((~aElement0(W0)) | (~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | (W0 = szmzizndt0(sdtlpdtrp0(xN, xn))))))) | (~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xn)), sdtlpdtrp0(xN, xn))) | (~![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xn)), W0)))))) <=> ((~((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xm))) | (~![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xm))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0))) | (~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xn))) | (~![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0))) | (~(szmzizndt0(sdtlpdtrp0(xN, xm)) = szmzizndt0(sdtlpdtrp0(xN, xn)))))) | (~(aSubsetOf0(sdtlpdtrp0(xN, xm), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) | (~aElementOf0(W0!30, sdtlpdtrp0(xN, xm))) | aElementOf0(W0!30, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~![W0: $i] : (aElementOf0(W0, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (~((~aElement0(W0)) | (~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | (W0 = szmzizndt0(sdtlpdtrp0(xN, xn))))))) | (~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xn)), sdtlpdtrp0(xN, xn))) | (~![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xn)), W0))))))),
% 253.69/163.50      inference(rewrite,[status(thm)],[])).
% 253.69/163.50  tff(229,plain,
% 253.69/163.50      (((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xm)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xm))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0)) & aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xn)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0)) & (szmzizndt0(sdtlpdtrp0(xN, xm)) = szmzizndt0(sdtlpdtrp0(xN, xn)))) | ((~aSubsetOf0(sdtlpdtrp0(xN, xm), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) & (~((~aElementOf0(W0!30, sdtlpdtrp0(xN, xm))) | aElementOf0(W0!30, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))))) & aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) & ![W0: $i] : (aElementOf0(W0, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (aElement0(W0) & aElementOf0(W0, sdtlpdtrp0(xN, xn)) & (~(W0 = szmzizndt0(sdtlpdtrp0(xN, xn)))))) & aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xn)), sdtlpdtrp0(xN, xn)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xn)), W0)))) <=> ((~((~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xm))) | (~![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xm))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0))) | (~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xn))) | (~![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0))) | (~(szmzizndt0(sdtlpdtrp0(xN, xm)) = szmzizndt0(sdtlpdtrp0(xN, xn)))))) | (~(aSubsetOf0(sdtlpdtrp0(xN, xm), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) | (~aElementOf0(W0!30, sdtlpdtrp0(xN, xm))) | aElementOf0(W0!30, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) | (~aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~![W0: $i] : (aElementOf0(W0, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (~((~aElement0(W0)) | (~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | (W0 = szmzizndt0(sdtlpdtrp0(xN, xn))))))) | (~aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xn)), sdtlpdtrp0(xN, xn))) | (~![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xn)), W0))))))),
% 253.69/163.51      inference(rewrite,[status(thm)],[])).
% 253.69/163.51  tff(230,plain,
% 253.69/163.51      ((((~aSubsetOf0(sdtlpdtrp0(xN, xm), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) & (~((~aElementOf0(W0!30, sdtlpdtrp0(xN, xm))) | aElementOf0(W0!30, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))))) & aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) & ![W0: $i] : (aElementOf0(W0, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (aElement0(W0) & aElementOf0(W0, sdtlpdtrp0(xN, xn)) & (~(W0 = szmzizndt0(sdtlpdtrp0(xN, xn)))))) & aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xn)), sdtlpdtrp0(xN, xn)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xn)), W0))) | (aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xm)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xm))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0)) & aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xn)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0)) & (szmzizndt0(sdtlpdtrp0(xN, xm)) = szmzizndt0(sdtlpdtrp0(xN, xn))))) <=> ((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xm)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xm))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0)) & aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xn)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0)) & (szmzizndt0(sdtlpdtrp0(xN, xm)) = szmzizndt0(sdtlpdtrp0(xN, xn)))) | ((~aSubsetOf0(sdtlpdtrp0(xN, xm), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) & (~((~aElementOf0(W0!30, sdtlpdtrp0(xN, xm))) | aElementOf0(W0!30, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))))) & aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) & ![W0: $i] : (aElementOf0(W0, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (aElement0(W0) & aElementOf0(W0, sdtlpdtrp0(xN, xn)) & (~(W0 = szmzizndt0(sdtlpdtrp0(xN, xn)))))) & aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xn)), sdtlpdtrp0(xN, xn)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xn)), W0))))),
% 253.69/163.51      inference(rewrite,[status(thm)],[])).
% 253.69/163.51  tff(231,plain,
% 253.69/163.51      ((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xm)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xm))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0)) & aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xn)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0)) & (szmzizndt0(sdtlpdtrp0(xN, xm)) = szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xm)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xm))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0)) & aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xn)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0)) & (szmzizndt0(sdtlpdtrp0(xN, xm)) = szmzizndt0(sdtlpdtrp0(xN, xn))))),
% 253.69/163.51      inference(rewrite,[status(thm)],[])).
% 253.69/163.51  tff(232,plain,
% 253.69/163.51      (((~aSubsetOf0(sdtlpdtrp0(xN, xm), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) & (~((~aElementOf0(W0!30, sdtlpdtrp0(xN, xm))) | aElementOf0(W0!30, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))))) & (aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) & ![W0: $i] : (aElementOf0(W0, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (aElement0(W0) & aElementOf0(W0, sdtlpdtrp0(xN, xn)) & (~(W0 = szmzizndt0(sdtlpdtrp0(xN, xn))))))) & (aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xn)), sdtlpdtrp0(xN, xn)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xn)), W0)))) <=> ((~aSubsetOf0(sdtlpdtrp0(xN, xm), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) & (~((~aElementOf0(W0!30, sdtlpdtrp0(xN, xm))) | aElementOf0(W0!30, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))))) & aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) & ![W0: $i] : (aElementOf0(W0, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (aElement0(W0) & aElementOf0(W0, sdtlpdtrp0(xN, xn)) & (~(W0 = szmzizndt0(sdtlpdtrp0(xN, xn)))))) & aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xn)), sdtlpdtrp0(xN, xn)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xn)), W0)))),
% 253.69/163.51      inference(rewrite,[status(thm)],[])).
% 253.69/163.51  tff(233,plain,
% 253.69/163.51      ((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xn)), sdtlpdtrp0(xN, xn)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xn)), W0))) <=> (aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xn)), sdtlpdtrp0(xN, xn)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xn)), W0)))),
% 253.69/163.51      inference(rewrite,[status(thm)],[])).
% 253.69/163.51  tff(234,plain,
% 253.69/163.51      ((aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) & ![W0: $i] : (aElementOf0(W0, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (aElement0(W0) & aElementOf0(W0, sdtlpdtrp0(xN, xn)) & (~(W0 = szmzizndt0(sdtlpdtrp0(xN, xn))))))) <=> (aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) & ![W0: $i] : (aElementOf0(W0, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (aElement0(W0) & aElementOf0(W0, sdtlpdtrp0(xN, xn)) & (~(W0 = szmzizndt0(sdtlpdtrp0(xN, xn)))))))),
% 253.69/163.51      inference(rewrite,[status(thm)],[])).
% 253.69/163.51  tff(235,plain,
% 253.69/163.51      (((~aSubsetOf0(sdtlpdtrp0(xN, xm), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) & (~((~aElementOf0(W0!30, sdtlpdtrp0(xN, xm))) | aElementOf0(W0!30, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))))) & (aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) & ![W0: $i] : (aElementOf0(W0, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (aElement0(W0) & aElementOf0(W0, sdtlpdtrp0(xN, xn)) & (~(W0 = szmzizndt0(sdtlpdtrp0(xN, xn))))))) & (aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xn)), sdtlpdtrp0(xN, xn)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xn)), W0)))) <=> ((~aSubsetOf0(sdtlpdtrp0(xN, xm), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) & (~((~aElementOf0(W0!30, sdtlpdtrp0(xN, xm))) | aElementOf0(W0!30, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))))) & (aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) & ![W0: $i] : (aElementOf0(W0, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (aElement0(W0) & aElementOf0(W0, sdtlpdtrp0(xN, xn)) & (~(W0 = szmzizndt0(sdtlpdtrp0(xN, xn))))))) & (aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xn)), sdtlpdtrp0(xN, xn)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xn)), W0))))),
% 253.69/163.51      inference(monotonicity,[status(thm)],[234, 233])).
% 253.69/163.51  tff(236,plain,
% 253.69/163.51      (((~aSubsetOf0(sdtlpdtrp0(xN, xm), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) & (~((~aElementOf0(W0!30, sdtlpdtrp0(xN, xm))) | aElementOf0(W0!30, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))))) & (aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) & ![W0: $i] : (aElementOf0(W0, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (aElement0(W0) & aElementOf0(W0, sdtlpdtrp0(xN, xn)) & (~(W0 = szmzizndt0(sdtlpdtrp0(xN, xn))))))) & (aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xn)), sdtlpdtrp0(xN, xn)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xn)), W0)))) <=> ((~aSubsetOf0(sdtlpdtrp0(xN, xm), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) & (~((~aElementOf0(W0!30, sdtlpdtrp0(xN, xm))) | aElementOf0(W0!30, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))))) & aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) & ![W0: $i] : (aElementOf0(W0, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (aElement0(W0) & aElementOf0(W0, sdtlpdtrp0(xN, xn)) & (~(W0 = szmzizndt0(sdtlpdtrp0(xN, xn)))))) & aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xn)), sdtlpdtrp0(xN, xn)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xn)), W0)))),
% 253.69/163.52      inference(transitivity,[status(thm)],[235, 232])).
% 253.69/163.52  tff(237,plain,
% 253.69/163.52      ((((~aSubsetOf0(sdtlpdtrp0(xN, xm), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) & (~((~aElementOf0(W0!30, sdtlpdtrp0(xN, xm))) | aElementOf0(W0!30, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))))) & (aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) & ![W0: $i] : (aElementOf0(W0, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (aElement0(W0) & aElementOf0(W0, sdtlpdtrp0(xN, xn)) & (~(W0 = szmzizndt0(sdtlpdtrp0(xN, xn))))))) & (aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xn)), sdtlpdtrp0(xN, xn)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xn)), W0)))) | (aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xm)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xm))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0)) & aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xn)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0)) & (szmzizndt0(sdtlpdtrp0(xN, xm)) = szmzizndt0(sdtlpdtrp0(xN, xn))))) <=> (((~aSubsetOf0(sdtlpdtrp0(xN, xm), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) & (~((~aElementOf0(W0!30, sdtlpdtrp0(xN, xm))) | aElementOf0(W0!30, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))))) & aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) & ![W0: $i] : (aElementOf0(W0, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (aElement0(W0) & aElementOf0(W0, sdtlpdtrp0(xN, xn)) & (~(W0 = szmzizndt0(sdtlpdtrp0(xN, xn)))))) & aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xn)), sdtlpdtrp0(xN, xn)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xn)), W0))) | (aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xm)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xm))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0)) & aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xn)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0)) & (szmzizndt0(sdtlpdtrp0(xN, xm)) = szmzizndt0(sdtlpdtrp0(xN, xn)))))),
% 253.69/163.52      inference(monotonicity,[status(thm)],[236, 231])).
% 253.69/163.52  tff(238,plain,
% 253.69/163.52      ((((~aSubsetOf0(sdtlpdtrp0(xN, xm), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) & (~((~aElementOf0(W0!30, sdtlpdtrp0(xN, xm))) | aElementOf0(W0!30, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))))) & (aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) & ![W0: $i] : (aElementOf0(W0, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (aElement0(W0) & aElementOf0(W0, sdtlpdtrp0(xN, xn)) & (~(W0 = szmzizndt0(sdtlpdtrp0(xN, xn))))))) & (aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xn)), sdtlpdtrp0(xN, xn)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xn)), W0)))) | (aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xm)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xm))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0)) & aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xn)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0)) & (szmzizndt0(sdtlpdtrp0(xN, xm)) = szmzizndt0(sdtlpdtrp0(xN, xn))))) <=> ((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xm)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xm))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0)) & aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xn)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0)) & (szmzizndt0(sdtlpdtrp0(xN, xm)) = szmzizndt0(sdtlpdtrp0(xN, xn)))) | ((~aSubsetOf0(sdtlpdtrp0(xN, xm), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) & (~((~aElementOf0(W0!30, sdtlpdtrp0(xN, xm))) | aElementOf0(W0!30, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))))) & aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) & ![W0: $i] : (aElementOf0(W0, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (aElement0(W0) & aElementOf0(W0, sdtlpdtrp0(xN, xn)) & (~(W0 = szmzizndt0(sdtlpdtrp0(xN, xn)))))) & aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xn)), sdtlpdtrp0(xN, xn)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xn)), W0))))),
% 253.69/163.52      inference(transitivity,[status(thm)],[237, 230])).
% 253.69/163.52  tff(239,plain,
% 253.69/163.52      (((aSubsetOf0(sdtlpdtrp0(xN, xm), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) | ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xm))) | aElementOf0(W0, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~(aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) & ![W0: $i] : (aElementOf0(W0, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (aElement0(W0) & aElementOf0(W0, sdtlpdtrp0(xN, xn)) & (~(W0 = szmzizndt0(sdtlpdtrp0(xN, xn)))))))) | (~(aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xn)), sdtlpdtrp0(xN, xn)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xn)), W0))))) & (~(aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xm)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xm))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0)) & aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xn)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0)) & (szmzizndt0(sdtlpdtrp0(xN, xm)) = szmzizndt0(sdtlpdtrp0(xN, xn)))))) <=> ((aSubsetOf0(sdtlpdtrp0(xN, xm), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) | ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xm))) | aElementOf0(W0, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~(aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) & ![W0: $i] : (aElementOf0(W0, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (aElement0(W0) & aElementOf0(W0, sdtlpdtrp0(xN, xn)) & (~(W0 = szmzizndt0(sdtlpdtrp0(xN, xn)))))))) | (~(aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xn)), sdtlpdtrp0(xN, xn)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xn)), W0))))) & (~(aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xm)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xm))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0)) & aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xn)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0)) & (szmzizndt0(sdtlpdtrp0(xN, xm)) = szmzizndt0(sdtlpdtrp0(xN, xn))))))),
% 253.69/163.52      inference(rewrite,[status(thm)],[])).
% 253.69/163.52  tff(240,plain,
% 253.69/163.52      ((~((aSubsetOf0(sdtlpdtrp0(xN, xm), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) | ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xm))) | aElementOf0(W0, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~(aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) & ![W0: $i] : (aElementOf0(W0, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (aElement0(W0) & aElementOf0(W0, sdtlpdtrp0(xN, xn)) & (~(W0 = szmzizndt0(sdtlpdtrp0(xN, xn)))))))) | (~(aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xn)), sdtlpdtrp0(xN, xn)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xn)), W0))))) & (~(aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xm)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xm))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0)) & aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xn)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0)) & (szmzizndt0(sdtlpdtrp0(xN, xm)) = szmzizndt0(sdtlpdtrp0(xN, xn))))))) <=> (~((aSubsetOf0(sdtlpdtrp0(xN, xm), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) | ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xm))) | aElementOf0(W0, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~(aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) & ![W0: $i] : (aElementOf0(W0, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (aElement0(W0) & aElementOf0(W0, sdtlpdtrp0(xN, xn)) & (~(W0 = szmzizndt0(sdtlpdtrp0(xN, xn)))))))) | (~(aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xn)), sdtlpdtrp0(xN, xn)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xn)), W0))))) & (~(aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xm)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xm))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0)) & aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xn)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0)) & (szmzizndt0(sdtlpdtrp0(xN, xm)) = szmzizndt0(sdtlpdtrp0(xN, xn)))))))),
% 253.69/163.53      inference(monotonicity,[status(thm)],[239])).
% 253.69/163.53  tff(241,plain,
% 253.69/163.53      ((~((aSubsetOf0(sdtlpdtrp0(xN, xm), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) | ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xm))) | aElementOf0(W0, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~(aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) & ![W0: $i] : (aElementOf0(W0, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (aElement0(W0) & aElementOf0(W0, sdtlpdtrp0(xN, xn)) & (~(W0 = szmzizndt0(sdtlpdtrp0(xN, xn)))))))) | (~(aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xn)), sdtlpdtrp0(xN, xn)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xn)), W0))))) & (~(aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xm)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xm))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0)) & aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xn)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0)) & (szmzizndt0(sdtlpdtrp0(xN, xm)) = szmzizndt0(sdtlpdtrp0(xN, xn))))))) <=> (~((aSubsetOf0(sdtlpdtrp0(xN, xm), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) | ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xm))) | aElementOf0(W0, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~(aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) & ![W0: $i] : (aElementOf0(W0, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (aElement0(W0) & aElementOf0(W0, sdtlpdtrp0(xN, xn)) & (~(W0 = szmzizndt0(sdtlpdtrp0(xN, xn)))))))) | (~(aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xn)), sdtlpdtrp0(xN, xn)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xn)), W0))))) & (~(aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xm)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xm))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0)) & aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xn)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0)) & (szmzizndt0(sdtlpdtrp0(xN, xm)) = szmzizndt0(sdtlpdtrp0(xN, xn)))))))),
% 253.69/163.53      inference(rewrite,[status(thm)],[])).
% 253.69/163.53  tff(242,plain,
% 253.69/163.53      (~((aSubsetOf0(sdtlpdtrp0(xN, xm), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) | ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xm))) | aElementOf0(W0, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~(aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) & ![W0: $i] : (aElementOf0(W0, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (aElement0(W0) & aElementOf0(W0, sdtlpdtrp0(xN, xn)) & (~(W0 = szmzizndt0(sdtlpdtrp0(xN, xn)))))))) | (~(aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xn)), sdtlpdtrp0(xN, xn)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xn)), W0))))) & (~(aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xm)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xm))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0)) & aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xn)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0)) & (szmzizndt0(sdtlpdtrp0(xN, xm)) = szmzizndt0(sdtlpdtrp0(xN, xn))))))),
% 253.69/163.53      inference(or_elim,[status(thm)],[148])).
% 253.69/163.53  tff(243,plain,
% 253.69/163.53      (~((aSubsetOf0(sdtlpdtrp0(xN, xm), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) | ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xm))) | aElementOf0(W0, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~(aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) & ![W0: $i] : (aElementOf0(W0, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (aElement0(W0) & aElementOf0(W0, sdtlpdtrp0(xN, xn)) & (~(W0 = szmzizndt0(sdtlpdtrp0(xN, xn)))))))) | (~(aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xn)), sdtlpdtrp0(xN, xn)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xn)), W0))))) & (~(aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xm)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xm))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0)) & aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xn)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0)) & (szmzizndt0(sdtlpdtrp0(xN, xm)) = szmzizndt0(sdtlpdtrp0(xN, xn))))))),
% 253.69/163.53      inference(modus_ponens,[status(thm)],[242, 240])).
% 253.69/163.53  tff(244,plain,
% 253.69/163.53      (~((aSubsetOf0(sdtlpdtrp0(xN, xm), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) | ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xm))) | aElementOf0(W0, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~(aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) & ![W0: $i] : (aElementOf0(W0, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (aElement0(W0) & aElementOf0(W0, sdtlpdtrp0(xN, xn)) & (~(W0 = szmzizndt0(sdtlpdtrp0(xN, xn)))))))) | (~(aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xn)), sdtlpdtrp0(xN, xn)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xn)), W0))))) & (~(aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xm)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xm))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0)) & aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xn)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0)) & (szmzizndt0(sdtlpdtrp0(xN, xm)) = szmzizndt0(sdtlpdtrp0(xN, xn))))))),
% 253.69/163.53      inference(modus_ponens,[status(thm)],[243, 241])).
% 253.69/163.53  tff(245,plain,
% 253.69/163.53      (~((aSubsetOf0(sdtlpdtrp0(xN, xm), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) | ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xm))) | aElementOf0(W0, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~(aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) & ![W0: $i] : (aElementOf0(W0, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (aElement0(W0) & aElementOf0(W0, sdtlpdtrp0(xN, xn)) & (~(W0 = szmzizndt0(sdtlpdtrp0(xN, xn)))))))) | (~(aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xn)), sdtlpdtrp0(xN, xn)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xn)), W0))))) & (~(aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xm)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xm))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0)) & aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xn)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0)) & (szmzizndt0(sdtlpdtrp0(xN, xm)) = szmzizndt0(sdtlpdtrp0(xN, xn))))))),
% 253.69/163.53      inference(modus_ponens,[status(thm)],[244, 240])).
% 253.69/163.53  tff(246,plain,
% 253.69/163.53      (~((aSubsetOf0(sdtlpdtrp0(xN, xm), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) | ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xm))) | aElementOf0(W0, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~(aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) & ![W0: $i] : (aElementOf0(W0, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (aElement0(W0) & aElementOf0(W0, sdtlpdtrp0(xN, xn)) & (~(W0 = szmzizndt0(sdtlpdtrp0(xN, xn)))))))) | (~(aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xn)), sdtlpdtrp0(xN, xn)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xn)), W0))))) & (~(aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xm)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xm))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0)) & aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xn)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0)) & (szmzizndt0(sdtlpdtrp0(xN, xm)) = szmzizndt0(sdtlpdtrp0(xN, xn))))))),
% 253.69/163.53      inference(modus_ponens,[status(thm)],[245, 240])).
% 253.69/163.53  tff(247,plain,
% 253.69/163.53      (~((aSubsetOf0(sdtlpdtrp0(xN, xm), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) | ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xm))) | aElementOf0(W0, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~(aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) & ![W0: $i] : (aElementOf0(W0, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (aElement0(W0) & aElementOf0(W0, sdtlpdtrp0(xN, xn)) & (~(W0 = szmzizndt0(sdtlpdtrp0(xN, xn)))))))) | (~(aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xn)), sdtlpdtrp0(xN, xn)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xn)), W0))))) & (~(aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xm)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xm))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0)) & aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xn)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0)) & (szmzizndt0(sdtlpdtrp0(xN, xm)) = szmzizndt0(sdtlpdtrp0(xN, xn))))))),
% 253.69/163.53      inference(modus_ponens,[status(thm)],[246, 240])).
% 253.69/163.53  tff(248,plain,
% 253.69/163.53      (~((aSubsetOf0(sdtlpdtrp0(xN, xm), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) | ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xm))) | aElementOf0(W0, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~(aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) & ![W0: $i] : (aElementOf0(W0, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (aElement0(W0) & aElementOf0(W0, sdtlpdtrp0(xN, xn)) & (~(W0 = szmzizndt0(sdtlpdtrp0(xN, xn)))))))) | (~(aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xn)), sdtlpdtrp0(xN, xn)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xn)), W0))))) & (~(aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xm)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xm))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0)) & aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xn)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0)) & (szmzizndt0(sdtlpdtrp0(xN, xm)) = szmzizndt0(sdtlpdtrp0(xN, xn))))))),
% 253.77/163.55      inference(modus_ponens,[status(thm)],[247, 240])).
% 253.77/163.55  tff(249,plain,
% 253.77/163.55      (~((aSubsetOf0(sdtlpdtrp0(xN, xm), sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) | ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xm))) | aElementOf0(W0, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn))))) | (~(aSet0(sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) & ![W0: $i] : (aElementOf0(W0, sdtmndt0(sdtlpdtrp0(xN, xn), szmzizndt0(sdtlpdtrp0(xN, xn)))) <=> (aElement0(W0) & aElementOf0(W0, sdtlpdtrp0(xN, xn)) & (~(W0 = szmzizndt0(sdtlpdtrp0(xN, xn)))))))) | (~(aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xn)), sdtlpdtrp0(xN, xn)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xn)), W0))))) & (~(aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xm)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xm))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0)) & aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xm)), sdtlpdtrp0(xN, xn)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xn))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xm)), W0)) & (szmzizndt0(sdtlpdtrp0(xN, xm)) = szmzizndt0(sdtlpdtrp0(xN, xn))))))),
% 253.77/163.55      inference(modus_ponens,[status(thm)],[248, 240])).
% 253.77/163.55  unexpected number of arguments: (let ((a!1 (aSubsetOf0 (sdtlpdtrp0 xN xm)
% 253.77/163.55                         (sdtmndt0 (sdtlpdtrp0 xN xn)
% 253.77/163.55                                   (szmzizndt0 (sdtlpdtrp0 xN xn)))))
% 253.77/163.55        (a!2 (forall ((W0 $i))
% 253.77/163.55               (let ((a!1 (aElementOf0 W0
% 253.77/163.55                                       (sdtmndt0 (sdtlpdtrp0 xN xn)
% 253.77/163.55                                                 (szmzizndt0 (sdtlpdtrp0 xN xn))))))
% 253.77/163.55                 (or (not (aElementOf0 W0 (sdtlpdtrp0 xN xm))) a!1))))
% 253.77/163.55        (a!3 (aElementOf0 W0!30
% 253.77/163.55                          (sdtmndt0 (sdtlpdtrp0 xN xn)
% 253.77/163.55                                    (szmzizndt0 (sdtlpdtrp0 xN xn)))))
% 253.77/163.55        (a!5 (aSet0 (sdtmndt0 (sdtlpdtrp0 xN xn) (szmzizndt0 (sdtlpdtrp0 xN xn)))))
% 253.77/163.55        (a!6 (proof-bind (lambda ((W0 $i))
% 253.77/163.55                           (let ((a!1 (aElementOf0 W0
% 253.77/163.55                                                   (sdtmndt0 (sdtlpdtrp0 xN xn)
% 253.77/163.55                                                             (szmzizndt0 (sdtlpdtrp0 xN
% 253.77/163.55                                                                                     xn)))))
% 253.77/163.55                                 (a!2 (not (= W0 (szmzizndt0 (sdtlpdtrp0 xN xn))))))
% 253.77/163.55                           (let ((a!3 (= a!1
% 253.77/163.55                                         (and (aElement0 W0)
% 253.77/163.55                                              (aElementOf0 W0 (sdtlpdtrp0 xN xn))
% 253.77/163.55                                              a!2))))
% 253.77/163.55                             (refl (~ a!3 a!3)))))))
% 253.77/163.55        (a!7 (forall ((W0 $i))
% 253.77/163.55               (let ((a!1 (aElementOf0 W0
% 253.77/163.55                                       (sdtmndt0 (sdtlpdtrp0 xN xn)
% 253.77/163.55                                                 (szmzizndt0 (sdtlpdtrp0 xN xn)))))
% 253.77/163.55                     (a!2 (not (= W0 (szmzizndt0 (sdtlpdtrp0 xN xn))))))
% 253.77/163.55                 (= a!1
% 253.77/163.55                    (and (aElement0 W0) (aElementOf0 W0 (sdtlpdtrp0 xN xn)) a!2)))))
% 253.77/163.55        (a!10 (~ (aElementOf0 (szmzizndt0 (sdtlpdtrp0 xN xn)) (sdtlpdtrp0 xN xn))
% 253.77/163.55                 (aElementOf0 (szmzizndt0 (sdtlpdtrp0 xN xn)) (sdtlpdtrp0 xN xn))))
% 253.77/163.55        (a!11 (proof-bind (lambda ((W0 $i))
% 253.77/163.55                            (let ((a!1 (or (not (aElementOf0 W0
% 253.77/163.55                                                             (sdtlpdtrp0 xN xn)))
% 253.77/163.55                                           (sdtlseqdt0 (szmzizndt0 (sdtlpdtrp0 xN
% 253.77/163.55                                                                               xn))
% 253.77/163.55                                                       W0))))
% 253.77/163.55                              (refl (~ a!1 a!1))))))
% 253.77/163.55        (a!12 (forall ((W0 $i))
% 253.77/163.55                (or (not (aElementOf0 W0 (sdtlpdtrp0 xN xn)))
% 253.77/163.55                    (sdtlseqdt0 (szmzizndt0 (sdtlpdtrp0 xN xn)) W0))))
% 253.77/163.55        (a!17 (~ (aElementOf0 (szmzizndt0 (sdtlpdtrp0 xN xm)) (sdtlpdtrp0 xN xm))
% 253.77/163.55                 (aElementOf0 (szmzizndt0 (sdtlpdtrp0 xN xm)) (sdtlpdtrp0 xN xm))))
% 253.77/163.55        (a!18 (proof-bind (lambda ((W0 $i))
% 253.77/163.55                            (let ((a!1 (or (not (aElementOf0 W0
% 253.77/163.55                                                             (sdtlpdtrp0 xN xm)))
% 253.77/163.55                                           (sdtlseqdt0 (szmzizndt0 (sdtlpdtrp0 xN
% 253.77/163.55                                                                               xm))
% 253.77/163.55                                                       W0))))
% 253.77/163.55                              (refl (~ a!1 a!1))))))
% 253.77/163.55        (a!19 (forall ((W0 $i))
% 253.77/163.55                (or (not (aElementOf0 W0 (sdtlpdtrp0 xN xm)))
% 253.77/163.55                    (sdtlseqdt0 (szmzizndt0 (sdtlpdtrp0 xN xm)) W0))))
% 253.77/163.55        (a!20 (~ (aElementOf0 (szmzizndt0 (sdtlpdtrp0 xN xm)) (sdtlpdtrp0 xN xn))
% 253.77/163.55                 (aElementOf0 (szmzizndt0 (sdtlpdtrp0 xN xm)) (sdtlpdtrp0 xN xn))))
% 253.77/163.55        (a!21 (proof-bind (lambda ((W0 $i))
% 253.77/163.55                            (let ((a!1 (or (not (aElementOf0 W0
% 253.77/163.55                                                             (sdtlpdtrp0 xN xn)))
% 253.77/163.55                                           (sdtlseqdt0 (szmzizndt0 (sdtlpdtrp0 xN
% 253.77/163.55                                                                               xm))
% 253.77/163.55                                                       W0))))
% 253.77/163.55                              (refl (~ a!1 a!1))))))
% 253.77/163.55        (a!22 (forall ((W0 $i))
% 253.77/163.55                (or (not (aElementOf0 W0 (sdtlpdtrp0 xN xn)))
% 253.77/163.55                    (sdtlseqdt0 (szmzizndt0 (sdtlpdtrp0 xN xm)) W0))))
% 253.77/163.55        (a!23 (~ (= (szmzizndt0 (sdtlpdtrp0 xN xm))
% 253.77/163.55                    (szmzizndt0 (sdtlpdtrp0 xN xn)))
% 253.77/163.55                 (= (szmzizndt0 (sdtlpdtrp0 xN xm))
% 253.77/163.55                    (szmzizndt0 (sdtlpdtrp0 xN xn))))))
% 253.77/163.55  (let ((a!4 (or (not (aElementOf0 W0!30 (sdtlpdtrp0 xN xm))) a!3))
% 253.77/163.55        (a!8 (~ (not (not (and a!5 a!7))) (and a!5 a!7)))
% 253.77/163.55        (a!13 (and (aElementOf0 (szmzizndt0 (sdtlpdtrp0 xN xn))
% 253.77/163.55                                (sdtlpdtrp0 xN xn))
% 253.77/163.55                   a!12))
% 253.77/163.55        (a!24 (and (aElementOf0 (szmzizndt0 (sdtlpdtrp0 xN xm))
% 253.77/163.55                                (sdtlpdtrp0 xN xm))
% 253.77/163.55                   a!19
% 253.77/163.55                   (aElementOf0 (szmzizndt0 (sdtlpdtrp0 xN xm))
% 253.77/163.55                                (sdtlpdtrp0 xN xn))
% 253.77/163.55                   a!22
% 253.77/163.55                   (= (szmzizndt0 (sdtlpdtrp0 xN xm))
% 253.77/163.55                      (szmzizndt0 (sdtlpdtrp0 xN xn))))))
% 253.77/163.55  (let ((a!9 (nnf-neg (monotonicity (refl (~ a!5 a!5))
% 253.77/163.55                                    (nnf-pos a!6 (~ a!7 a!7))
% 253.77/163.55                                    (~ (and a!5 a!7) (and a!5 a!7)))
% 253.77/163.55                      a!8))
% 253.77/163.55        (a!14 (nnf-neg (monotonicity (refl a!10)
% 253.77/163.55                                     (nnf-pos a!11 (~ a!12 a!12))
% 253.77/163.55                                     (~ a!13 a!13))
% 253.77/163.55                       (~ (not (not a!13)) a!13)))
% 253.77/163.55        (a!15 (not (or a!1 a!2 (not (and a!5 a!7)) (not a!13))))
% 253.77/163.55        (a!25 (nnf-neg (monotonicity (refl a!17)
% 253.77/163.55                                     (nnf-pos a!18 (~ a!19 a!19))
% 253.77/163.55                                     (refl a!20)
% 253.77/163.55                                     (nnf-pos a!21 (~ a!22 a!22))
% 253.77/163.55                                     (refl a!23)
% 253.77/163.55                                     (~ a!24 a!24))
% 253.77/163.55                       (~ (not (not a!24)) a!24)))
% 253.77/163.55        (a!26 (and (or a!1 a!2 (not (and a!5 a!7)) (not a!13)) (not a!24))))
% 253.77/163.55  (let ((a!16 (nnf-neg (refl (~ (not a!1) (not a!1)))
% 253.77/163.55                       (sk (~ (not a!2) (not a!4)))
% 253.77/163.55                       a!9
% 253.77/163.55                       a!14
% 253.77/163.55                       (~ a!15 (and (not a!1) (not a!4) (and a!5 a!7) a!13))))
% 253.77/163.55        (a!27 (~ (not a!26)
% 253.77/163.55                 (or (and (not a!1) (not a!4) (and a!5 a!7) a!13) a!24))))
% 253.77/163.55    (nnf-neg a!16 a!25 a!27)))))
% 253.77/163.55  Proof display could not be completed: unexpected number of arguments
%------------------------------------------------------------------------------