%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : HWV052-1.001.001 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sat Sep 17 02:15:31 EDT 2022

% Result   : Unsatisfiable 1.36s 1.11s
% Output   : Proof 1.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : HWV052-1.001.001 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33  % Computer : n015.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Wed Aug 31 23:26:37 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.33  Usage: tptp [options] [-file:]file
% 0.12/0.33    -h, -?       prints this message.
% 0.12/0.33    -smt2        print SMT-LIB2 benchmark.
% 0.12/0.33    -m, -model   generate model.
% 0.12/0.33    -p, -proof   generate proof.
% 0.12/0.33    -c, -core    generate unsat core of named formulas.
% 0.12/0.33    -st, -statistics display statistics.
% 0.12/0.33    -t:timeout   set timeout (in second).
% 0.12/0.33    -smt2status  display status in smt2 format instead of SZS.
% 0.12/0.33    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.33    -<param>:<value> configuration parameter and value.
% 0.12/0.33    -o:<output-file> file to place output in.
% 1.36/1.11  % SZS status Unsatisfiable
% 1.36/1.11  % SZS output start Proof
% 1.36/1.11  tff(elem_0_type, type, (
% 1.36/1.11     elem_0: $i)).
% 1.36/1.11  tff(inv_type, type, (
% 1.36/1.11     inv: $i > $i)).
% 1.36/1.11  tff(unpack1_type, type, (
% 1.36/1.11     unpack1: ( $i * $i ) > $i)).
% 1.36/1.11  tff(pack1_type, type, (
% 1.36/1.11     pack1: $i > $i)).
% 1.36/1.11  tff(i_type, type, (
% 1.36/1.11     i: $i)).
% 1.36/1.11  tff(o_type, type, (
% 1.36/1.11     o: $i)).
% 1.36/1.11  tff(1,plain,
% 1.36/1.11      (^[X1: $i] : refl((unpack1(inv(X1), pack1(X1)) = X1) <=> (unpack1(inv(X1), pack1(X1)) = X1))),
% 1.36/1.11      inference(bind,[status(th)],[])).
% 1.36/1.11  tff(2,plain,
% 1.36/1.11      (![X1: $i] : (unpack1(inv(X1), pack1(X1)) = X1) <=> ![X1: $i] : (unpack1(inv(X1), pack1(X1)) = X1)),
% 1.36/1.11      inference(quant_intro,[status(thm)],[1])).
% 1.36/1.11  tff(3,plain,
% 1.36/1.11      (![X1: $i] : (unpack1(inv(X1), pack1(X1)) = X1) <=> ![X1: $i] : (unpack1(inv(X1), pack1(X1)) = X1)),
% 1.36/1.11      inference(rewrite,[status(thm)],[])).
% 1.36/1.11  tff(4,axiom,(![X1: $i] : (unpack1(inv(X1), pack1(X1)) = X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','unpack1_01')).
% 1.36/1.11  tff(5,plain,
% 1.36/1.11      (![X1: $i] : (unpack1(inv(X1), pack1(X1)) = X1)),
% 1.36/1.11      inference(modus_ponens,[status(thm)],[4, 3])).
% 1.36/1.11  tff(6,plain,(
% 1.36/1.11      ![X1: $i] : (unpack1(inv(X1), pack1(X1)) = X1)),
% 1.36/1.11      inference(skolemize,[status(sab)],[5])).
% 1.36/1.11  tff(7,plain,
% 1.36/1.11      (![X1: $i] : (unpack1(inv(X1), pack1(X1)) = X1)),
% 1.36/1.11      inference(modus_ponens,[status(thm)],[6, 2])).
% 1.36/1.11  tff(8,plain,
% 1.36/1.11      ((~![X1: $i] : (unpack1(inv(X1), pack1(X1)) = X1)) | (unpack1(inv(elem!0), pack1(elem!0)) = elem!0)),
% 1.36/1.11      inference(quant_inst,[status(thm)],[])).
% 1.36/1.11  tff(9,plain,
% 1.36/1.11      (unpack1(inv(elem!0), pack1(elem!0)) = elem!0),
% 1.36/1.11      inference(unit_resolution,[status(thm)],[8, 7])).
% 1.36/1.11  tff(10,assumption,(inv(pack1(elem!0)) = o), introduced(assumption)).
% 1.36/1.11  tff(11,plain,
% 1.36/1.11      ((pack1(elem!0) = inv(pack1(elem!0))) <=> (inv(pack1(elem!0)) = pack1(elem!0))),
% 1.36/1.11      inference(commutativity,[status(thm)],[])).
% 1.36/1.11  tff(12,plain,
% 1.36/1.11      (o = inv(pack1(elem!0))),
% 1.36/1.11      inference(symmetry,[status(thm)],[10])).
% 1.36/1.11  tff(13,plain,
% 1.36/1.11      ((pack1(elem!0) = o) <=> (pack1(elem!0) = inv(pack1(elem!0)))),
% 1.36/1.11      inference(monotonicity,[status(thm)],[12])).
% 1.36/1.11  tff(14,plain,
% 1.36/1.11      ((pack1(elem!0) = o) <=> (inv(pack1(elem!0)) = pack1(elem!0))),
% 1.36/1.11      inference(transitivity,[status(thm)],[13, 11])).
% 1.36/1.11  tff(15,plain,
% 1.36/1.11      ((inv(pack1(elem!0)) = pack1(elem!0)) <=> (pack1(elem!0) = o)),
% 1.36/1.11      inference(symmetry,[status(thm)],[14])).
% 1.36/1.11  tff(16,plain,
% 1.36/1.11      ((~(inv(pack1(elem!0)) = pack1(elem!0))) <=> (~(pack1(elem!0) = o))),
% 1.36/1.11      inference(monotonicity,[status(thm)],[15])).
% 1.36/1.11  tff(17,plain,
% 1.36/1.11      (^[X: $i] : refl((~(inv(X) = X)) <=> (~(inv(X) = X)))),
% 1.36/1.11      inference(bind,[status(th)],[])).
% 1.36/1.11  tff(18,plain,
% 1.36/1.11      (![X: $i] : (~(inv(X) = X)) <=> ![X: $i] : (~(inv(X) = X))),
% 1.36/1.11      inference(quant_intro,[status(thm)],[17])).
% 1.36/1.11  tff(19,plain,
% 1.36/1.11      (![X: $i] : (~(inv(X) = X)) <=> ![X: $i] : (~(inv(X) = X))),
% 1.36/1.11      inference(rewrite,[status(thm)],[])).
% 1.36/1.11  tff(20,axiom,(![X: $i] : (~(inv(X) = X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bit_inverse')).
% 1.36/1.11  tff(21,plain,
% 1.36/1.11      (![X: $i] : (~(inv(X) = X))),
% 1.36/1.11      inference(modus_ponens,[status(thm)],[20, 19])).
% 1.36/1.11  tff(22,plain,(
% 1.36/1.11      ![X: $i] : (~(inv(X) = X))),
% 1.36/1.11      inference(skolemize,[status(sab)],[21])).
% 1.36/1.11  tff(23,plain,
% 1.36/1.11      (![X: $i] : (~(inv(X) = X))),
% 1.36/1.11      inference(modus_ponens,[status(thm)],[22, 18])).
% 1.36/1.11  tff(24,plain,
% 1.36/1.11      ((~![X: $i] : (~(inv(X) = X))) | (~(inv(pack1(elem!0)) = pack1(elem!0)))),
% 1.36/1.11      inference(quant_inst,[status(thm)],[])).
% 1.36/1.11  tff(25,plain,
% 1.36/1.11      (~(inv(pack1(elem!0)) = pack1(elem!0))),
% 1.36/1.11      inference(unit_resolution,[status(thm)],[24, 23])).
% 1.36/1.11  tff(26,plain,
% 1.36/1.11      (~(pack1(elem!0) = o)),
% 1.36/1.11      inference(modus_ponens,[status(thm)],[25, 16])).
% 1.36/1.11  tff(27,plain,
% 1.36/1.11      (![X: $i] : ((X = i) | (X = o)) <=> ![X: $i] : ((X = i) | (X = o))),
% 1.36/1.11      inference(rewrite,[status(thm)],[])).
% 1.36/1.11  tff(28,plain,
% 1.36/1.11      (^[X: $i] : rewrite(((X = o) | (X = i)) <=> ((X = i) | (X = o)))),
% 1.36/1.11      inference(bind,[status(th)],[])).
% 1.36/1.11  tff(29,plain,
% 1.36/1.11      (![X: $i] : ((X = o) | (X = i)) <=> ![X: $i] : ((X = i) | (X = o))),
% 1.36/1.11      inference(quant_intro,[status(thm)],[28])).
% 1.36/1.11  tff(30,axiom,(![X: $i] : ((X = o) | (X = i))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bit_domain')).
% 1.36/1.11  tff(31,plain,
% 1.36/1.11      (![X: $i] : ((X = i) | (X = o))),
% 1.36/1.11      inference(modus_ponens,[status(thm)],[30, 29])).
% 1.36/1.11  tff(32,plain,
% 1.36/1.11      (![X: $i] : ((X = i) | (X = o))),
% 1.36/1.11      inference(modus_ponens,[status(thm)],[31, 27])).
% 1.36/1.11  tff(33,plain,(
% 1.36/1.11      ![X: $i] : ((X = i) | (X = o))),
% 1.36/1.11      inference(skolemize,[status(sab)],[32])).
% 1.36/1.11  tff(34,plain,
% 1.36/1.11      (((~![X: $i] : ((X = i) | (X = o))) | ((pack1(elem!0) = i) | (pack1(elem!0) = o))) <=> ((~![X: $i] : ((X = i) | (X = o))) | (pack1(elem!0) = i) | (pack1(elem!0) = o))),
% 1.36/1.11      inference(rewrite,[status(thm)],[])).
% 1.36/1.11  tff(35,plain,
% 1.36/1.11      ((~![X: $i] : ((X = i) | (X = o))) | ((pack1(elem!0) = i) | (pack1(elem!0) = o))),
% 1.36/1.11      inference(quant_inst,[status(thm)],[])).
% 1.36/1.11  tff(36,plain,
% 1.36/1.11      ((~![X: $i] : ((X = i) | (X = o))) | (pack1(elem!0) = i) | (pack1(elem!0) = o)),
% 1.36/1.11      inference(modus_ponens,[status(thm)],[35, 34])).
% 1.36/1.11  tff(37,plain,
% 1.36/1.11      ((pack1(elem!0) = i) | (pack1(elem!0) = o)),
% 1.36/1.11      inference(unit_resolution,[status(thm)],[36, 33])).
% 1.36/1.11  tff(38,plain,
% 1.36/1.11      (pack1(elem!0) = i),
% 1.36/1.11      inference(unit_resolution,[status(thm)],[37, 26])).
% 1.36/1.11  tff(39,plain,
% 1.36/1.11      (i = pack1(elem!0)),
% 1.36/1.11      inference(symmetry,[status(thm)],[38])).
% 1.36/1.11  tff(40,assumption,(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = i), introduced(assumption)).
% 1.36/1.11  tff(41,assumption,(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))) = o), introduced(assumption)).
% 1.36/1.11  tff(42,plain,
% 1.36/1.11      (i = pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))),
% 1.36/1.11      inference(symmetry,[status(thm)],[40])).
% 1.36/1.11  tff(43,plain,
% 1.36/1.11      (pack1(elem!0) = pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))),
% 1.36/1.11      inference(transitivity,[status(thm)],[38, 42])).
% 1.36/1.11  tff(44,plain,
% 1.36/1.11      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))) = inv(pack1(elem!0))),
% 1.36/1.11      inference(transitivity,[status(thm)],[41, 12])).
% 1.36/1.11  tff(45,plain,
% 1.36/1.11      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))) = pack1(inv(pack1(elem!0)))),
% 1.36/1.11      inference(monotonicity,[status(thm)],[44])).
% 1.36/1.11  tff(46,plain,
% 1.36/1.11      (inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))) = inv(pack1(inv(pack1(elem!0))))),
% 1.36/1.11      inference(monotonicity,[status(thm)],[45])).
% 1.36/1.11  tff(47,plain,
% 1.36/1.11      (inv(pack1(inv(pack1(elem!0)))) = inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))),
% 1.36/1.11      inference(symmetry,[status(thm)],[46])).
% 1.36/1.11  tff(48,assumption,(inv(pack1(inv(pack1(elem!0)))) = i), introduced(assumption)).
% 1.36/1.11  tff(49,plain,
% 1.36/1.11      (i = inv(pack1(inv(pack1(elem!0))))),
% 1.36/1.11      inference(symmetry,[status(thm)],[48])).
% 1.36/1.11  tff(50,assumption,(inv(elem!0) = o), introduced(assumption)).
% 1.36/1.11  tff(51,assumption,(pack1(elem!0) = i), introduced(assumption)).
% 1.36/1.11  tff(52,plain,
% 1.36/1.11      (i = pack1(elem!0)),
% 1.36/1.11      inference(symmetry,[status(thm)],[51])).
% 1.36/1.11  tff(53,plain,
% 1.36/1.11      ((inv(pack1(elem!0)) = i) <=> (inv(pack1(elem!0)) = pack1(elem!0))),
% 1.36/1.11      inference(monotonicity,[status(thm)],[52])).
% 1.36/1.11  tff(54,plain,
% 1.36/1.11      ((inv(pack1(elem!0)) = pack1(elem!0)) <=> (inv(pack1(elem!0)) = i)),
% 1.36/1.11      inference(symmetry,[status(thm)],[53])).
% 1.36/1.11  tff(55,plain,
% 1.36/1.11      ((~(inv(pack1(elem!0)) = pack1(elem!0))) <=> (~(inv(pack1(elem!0)) = i))),
% 1.36/1.11      inference(monotonicity,[status(thm)],[54])).
% 1.36/1.11  tff(56,plain,
% 1.36/1.11      (~(inv(pack1(elem!0)) = i)),
% 1.36/1.11      inference(modus_ponens,[status(thm)],[25, 55])).
% 1.36/1.11  tff(57,plain,
% 1.36/1.11      (((~![X: $i] : ((X = i) | (X = o))) | ((inv(pack1(elem!0)) = i) | (inv(pack1(elem!0)) = o))) <=> ((~![X: $i] : ((X = i) | (X = o))) | (inv(pack1(elem!0)) = i) | (inv(pack1(elem!0)) = o))),
% 1.36/1.11      inference(rewrite,[status(thm)],[])).
% 1.36/1.11  tff(58,plain,
% 1.36/1.11      ((~![X: $i] : ((X = i) | (X = o))) | ((inv(pack1(elem!0)) = i) | (inv(pack1(elem!0)) = o))),
% 1.36/1.11      inference(quant_inst,[status(thm)],[])).
% 1.36/1.11  tff(59,plain,
% 1.36/1.11      ((~![X: $i] : ((X = i) | (X = o))) | (inv(pack1(elem!0)) = i) | (inv(pack1(elem!0)) = o)),
% 1.36/1.11      inference(modus_ponens,[status(thm)],[58, 57])).
% 1.36/1.11  tff(60,plain,
% 1.36/1.11      ((inv(pack1(elem!0)) = i) | (inv(pack1(elem!0)) = o)),
% 1.36/1.11      inference(unit_resolution,[status(thm)],[59, 33])).
% 1.36/1.11  tff(61,plain,
% 1.36/1.11      (inv(pack1(elem!0)) = o),
% 1.36/1.11      inference(unit_resolution,[status(thm)],[60, 56])).
% 1.36/1.11  tff(62,plain,
% 1.36/1.11      (o = inv(pack1(elem!0))),
% 1.36/1.11      inference(symmetry,[status(thm)],[61])).
% 1.36/1.11  tff(63,plain,
% 1.36/1.11      (pack1(elem!0) = inv(pack1(inv(pack1(elem!0))))),
% 1.36/1.11      inference(transitivity,[status(thm)],[51, 49])).
% 1.36/1.11  tff(64,plain,
% 1.36/1.11      (inv(elem!0) = inv(pack1(elem!0))),
% 1.36/1.11      inference(transitivity,[status(thm)],[50, 62])).
% 1.36/1.11  tff(65,plain,
% 1.36/1.11      (unpack1(inv(elem!0), pack1(elem!0)) = unpack1(inv(pack1(elem!0)), inv(pack1(inv(pack1(elem!0)))))),
% 1.36/1.11      inference(monotonicity,[status(thm)],[64, 63])).
% 1.36/1.11  tff(66,plain,
% 1.36/1.11      (unpack1(inv(pack1(elem!0)), inv(pack1(inv(pack1(elem!0))))) = unpack1(inv(elem!0), pack1(elem!0))),
% 1.36/1.11      inference(symmetry,[status(thm)],[65])).
% 1.36/1.11  tff(67,plain,
% 1.36/1.11      (^[X1: $i] : refl((unpack1(X1, inv(pack1(X1))) = X1) <=> (unpack1(X1, inv(pack1(X1))) = X1))),
% 1.36/1.11      inference(bind,[status(th)],[])).
% 1.36/1.11  tff(68,plain,
% 1.36/1.11      (![X1: $i] : (unpack1(X1, inv(pack1(X1))) = X1) <=> ![X1: $i] : (unpack1(X1, inv(pack1(X1))) = X1)),
% 1.36/1.11      inference(quant_intro,[status(thm)],[67])).
% 1.36/1.11  tff(69,plain,
% 1.36/1.11      (![X1: $i] : (unpack1(X1, inv(pack1(X1))) = X1) <=> ![X1: $i] : (unpack1(X1, inv(pack1(X1))) = X1)),
% 1.36/1.11      inference(rewrite,[status(thm)],[])).
% 1.36/1.11  tff(70,axiom,(![X1: $i] : (unpack1(X1, inv(pack1(X1))) = X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','unpack1_02')).
% 1.36/1.11  tff(71,plain,
% 1.36/1.11      (![X1: $i] : (unpack1(X1, inv(pack1(X1))) = X1)),
% 1.36/1.11      inference(modus_ponens,[status(thm)],[70, 69])).
% 1.36/1.11  tff(72,plain,(
% 1.36/1.11      ![X1: $i] : (unpack1(X1, inv(pack1(X1))) = X1)),
% 1.36/1.11      inference(skolemize,[status(sab)],[71])).
% 1.36/1.11  tff(73,plain,
% 1.36/1.11      (![X1: $i] : (unpack1(X1, inv(pack1(X1))) = X1)),
% 1.36/1.11      inference(modus_ponens,[status(thm)],[72, 68])).
% 1.36/1.11  tff(74,plain,
% 1.36/1.11      ((~![X1: $i] : (unpack1(X1, inv(pack1(X1))) = X1)) | (unpack1(inv(pack1(elem!0)), inv(pack1(inv(pack1(elem!0))))) = inv(pack1(elem!0)))),
% 1.36/1.11      inference(quant_inst,[status(thm)],[])).
% 1.36/1.11  tff(75,plain,
% 1.36/1.11      (unpack1(inv(pack1(elem!0)), inv(pack1(inv(pack1(elem!0))))) = inv(pack1(elem!0))),
% 1.36/1.11      inference(unit_resolution,[status(thm)],[74, 73])).
% 1.36/1.11  tff(76,plain,
% 1.36/1.11      (inv(pack1(elem!0)) = unpack1(inv(pack1(elem!0)), inv(pack1(inv(pack1(elem!0)))))),
% 1.36/1.11      inference(symmetry,[status(thm)],[75])).
% 1.36/1.11  tff(77,plain,
% 1.36/1.11      (inv(elem!0) = elem!0),
% 1.36/1.11      inference(transitivity,[status(thm)],[50, 62, 76, 66, 9])).
% 1.36/1.11  tff(78,plain,
% 1.36/1.11      ((~![X: $i] : (~(inv(X) = X))) | (~(inv(elem!0) = elem!0))),
% 1.36/1.11      inference(quant_inst,[status(thm)],[])).
% 1.36/1.11  tff(79,plain,
% 1.36/1.11      (~(inv(elem!0) = elem!0)),
% 1.36/1.11      inference(unit_resolution,[status(thm)],[78, 23])).
% 1.36/1.11  tff(80,plain,
% 1.36/1.11      ($false),
% 1.36/1.11      inference(unit_resolution,[status(thm)],[79, 77])).
% 1.36/1.11  tff(81,plain,((~(inv(pack1(inv(pack1(elem!0)))) = i)) | (~(inv(elem!0) = o)) | (~(pack1(elem!0) = i))), inference(lemma,lemma(discharge,[]))).
% 1.36/1.11  tff(82,plain,
% 1.36/1.11      (~(inv(pack1(inv(pack1(elem!0)))) = i)),
% 1.36/1.11      inference(unit_resolution,[status(thm)],[81, 51, 50])).
% 1.36/1.11  tff(83,plain,
% 1.36/1.11      (((~![X: $i] : ((X = i) | (X = o))) | ((inv(pack1(inv(pack1(elem!0)))) = i) | (inv(pack1(inv(pack1(elem!0)))) = o))) <=> ((~![X: $i] : ((X = i) | (X = o))) | (inv(pack1(inv(pack1(elem!0)))) = i) | (inv(pack1(inv(pack1(elem!0)))) = o))),
% 1.36/1.11      inference(rewrite,[status(thm)],[])).
% 1.36/1.11  tff(84,plain,
% 1.36/1.11      ((~![X: $i] : ((X = i) | (X = o))) | ((inv(pack1(inv(pack1(elem!0)))) = i) | (inv(pack1(inv(pack1(elem!0)))) = o))),
% 1.36/1.11      inference(quant_inst,[status(thm)],[])).
% 1.36/1.11  tff(85,plain,
% 1.36/1.11      ((~![X: $i] : ((X = i) | (X = o))) | (inv(pack1(inv(pack1(elem!0)))) = i) | (inv(pack1(inv(pack1(elem!0)))) = o)),
% 1.36/1.11      inference(modus_ponens,[status(thm)],[84, 83])).
% 1.36/1.11  tff(86,plain,
% 1.36/1.11      ((inv(pack1(inv(pack1(elem!0)))) = i) | (inv(pack1(inv(pack1(elem!0)))) = o)),
% 1.36/1.11      inference(unit_resolution,[status(thm)],[85, 33])).
% 1.36/1.11  tff(87,plain,
% 1.36/1.11      (inv(pack1(inv(pack1(elem!0)))) = o),
% 1.36/1.11      inference(unit_resolution,[status(thm)],[86, 82])).
% 1.36/1.11  tff(88,plain,
% 1.36/1.11      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))) = inv(pack1(elem!0))),
% 1.36/1.11      inference(transitivity,[status(thm)],[41, 62])).
% 1.36/1.11  tff(89,plain,
% 1.36/1.11      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))) = pack1(inv(pack1(elem!0)))),
% 1.36/1.11      inference(monotonicity,[status(thm)],[88])).
% 1.36/1.11  tff(90,plain,
% 1.36/1.11      (inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))) = inv(pack1(inv(pack1(elem!0))))),
% 1.36/1.11      inference(monotonicity,[status(thm)],[89])).
% 1.36/1.11  tff(91,plain,
% 1.36/1.11      (inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))) = inv(pack1(elem!0))),
% 1.36/1.11      inference(transitivity,[status(thm)],[90, 87, 62])).
% 1.36/1.11  tff(92,plain,
% 1.36/1.11      (pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = pack1(inv(pack1(elem!0)))),
% 1.36/1.11      inference(monotonicity,[status(thm)],[91])).
% 1.36/1.11  tff(93,plain,
% 1.36/1.11      ((pack1(inv(pack1(elem!0))) = inv(pack1(inv(pack1(elem!0))))) <=> (inv(pack1(inv(pack1(elem!0)))) = pack1(inv(pack1(elem!0))))),
% 1.36/1.11      inference(commutativity,[status(thm)],[])).
% 1.36/1.11  tff(94,plain,
% 1.36/1.11      (o = inv(pack1(inv(pack1(elem!0))))),
% 1.36/1.11      inference(symmetry,[status(thm)],[87])).
% 1.36/1.11  tff(95,plain,
% 1.36/1.11      ((pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = o) <=> (pack1(inv(pack1(elem!0))) = inv(pack1(inv(pack1(elem!0)))))),
% 1.36/1.11      inference(monotonicity,[status(thm)],[92, 94])).
% 1.36/1.11  tff(96,plain,
% 1.36/1.11      ((pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = o) <=> (inv(pack1(inv(pack1(elem!0)))) = pack1(inv(pack1(elem!0))))),
% 1.36/1.11      inference(transitivity,[status(thm)],[95, 93])).
% 1.36/1.11  tff(97,plain,
% 1.36/1.11      ((inv(pack1(inv(pack1(elem!0)))) = pack1(inv(pack1(elem!0)))) <=> (pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = o)),
% 1.36/1.11      inference(symmetry,[status(thm)],[96])).
% 1.36/1.11  tff(98,plain,
% 1.36/1.11      ((~(inv(pack1(inv(pack1(elem!0)))) = pack1(inv(pack1(elem!0))))) <=> (~(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = o))),
% 1.36/1.11      inference(monotonicity,[status(thm)],[97])).
% 1.36/1.11  tff(99,plain,
% 1.36/1.11      ((~![X: $i] : (~(inv(X) = X))) | (~(inv(pack1(inv(pack1(elem!0)))) = pack1(inv(pack1(elem!0)))))),
% 1.36/1.11      inference(quant_inst,[status(thm)],[])).
% 1.36/1.11  tff(100,plain,
% 1.36/1.11      (~(inv(pack1(inv(pack1(elem!0)))) = pack1(inv(pack1(elem!0))))),
% 1.36/1.11      inference(unit_resolution,[status(thm)],[99, 23])).
% 1.36/1.11  tff(101,plain,
% 1.36/1.11      (~(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = o)),
% 1.36/1.11      inference(modus_ponens,[status(thm)],[100, 98])).
% 1.36/1.11  tff(102,plain,
% 1.36/1.11      (((~![X: $i] : ((X = i) | (X = o))) | ((pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = i) | (pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = o))) <=> ((~![X: $i] : ((X = i) | (X = o))) | (pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = i) | (pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = o))),
% 1.36/1.11      inference(rewrite,[status(thm)],[])).
% 1.36/1.11  tff(103,plain,
% 1.36/1.11      ((~![X: $i] : ((X = i) | (X = o))) | ((pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = i) | (pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = o))),
% 1.36/1.11      inference(quant_inst,[status(thm)],[])).
% 1.36/1.11  tff(104,plain,
% 1.36/1.11      ((~![X: $i] : ((X = i) | (X = o))) | (pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = i) | (pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = o)),
% 1.36/1.11      inference(modus_ponens,[status(thm)],[103, 102])).
% 1.36/1.11  tff(105,plain,
% 1.36/1.11      ((pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = i) | (pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = o)),
% 1.36/1.11      inference(unit_resolution,[status(thm)],[104, 33])).
% 1.36/1.11  tff(106,plain,
% 1.36/1.11      (pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = i),
% 1.36/1.11      inference(unit_resolution,[status(thm)],[105, 101])).
% 1.36/1.11  tff(107,plain,
% 1.36/1.11      (i = pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))),
% 1.36/1.11      inference(symmetry,[status(thm)],[106])).
% 1.36/1.11  tff(108,plain,
% 1.36/1.11      (pack1(elem!0) = pack1(inv(pack1(elem!0)))),
% 1.36/1.11      inference(transitivity,[status(thm)],[51, 107, 92])).
% 1.36/1.11  tff(109,plain,
% 1.36/1.11      (unpack1(inv(elem!0), pack1(elem!0)) = unpack1(inv(pack1(elem!0)), pack1(inv(pack1(elem!0))))),
% 1.36/1.11      inference(monotonicity,[status(thm)],[64, 108])).
% 1.36/1.11  tff(110,plain,
% 1.36/1.11      (unpack1(inv(pack1(elem!0)), pack1(inv(pack1(elem!0)))) = unpack1(inv(elem!0), pack1(elem!0))),
% 1.36/1.11      inference(symmetry,[status(thm)],[109])).
% 1.36/1.11  tff(111,plain,
% 1.36/1.11      (^[X1: $i] : refl((unpack1(X1, pack1(X1)) = X1) <=> (unpack1(X1, pack1(X1)) = X1))),
% 1.36/1.11      inference(bind,[status(th)],[])).
% 1.36/1.11  tff(112,plain,
% 1.36/1.11      (![X1: $i] : (unpack1(X1, pack1(X1)) = X1) <=> ![X1: $i] : (unpack1(X1, pack1(X1)) = X1)),
% 1.36/1.11      inference(quant_intro,[status(thm)],[111])).
% 1.36/1.11  tff(113,plain,
% 1.36/1.11      (![X1: $i] : (unpack1(X1, pack1(X1)) = X1) <=> ![X1: $i] : (unpack1(X1, pack1(X1)) = X1)),
% 1.36/1.11      inference(rewrite,[status(thm)],[])).
% 1.36/1.11  tff(114,axiom,(![X1: $i] : (unpack1(X1, pack1(X1)) = X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','unpack1')).
% 1.36/1.11  tff(115,plain,
% 1.36/1.11      (![X1: $i] : (unpack1(X1, pack1(X1)) = X1)),
% 1.36/1.11      inference(modus_ponens,[status(thm)],[114, 113])).
% 1.36/1.11  tff(116,plain,(
% 1.36/1.11      ![X1: $i] : (unpack1(X1, pack1(X1)) = X1)),
% 1.36/1.11      inference(skolemize,[status(sab)],[115])).
% 1.36/1.11  tff(117,plain,
% 1.36/1.11      (![X1: $i] : (unpack1(X1, pack1(X1)) = X1)),
% 1.36/1.11      inference(modus_ponens,[status(thm)],[116, 112])).
% 1.36/1.11  tff(118,plain,
% 1.36/1.11      ((~![X1: $i] : (unpack1(X1, pack1(X1)) = X1)) | (unpack1(inv(pack1(elem!0)), pack1(inv(pack1(elem!0)))) = inv(pack1(elem!0)))),
% 1.36/1.11      inference(quant_inst,[status(thm)],[])).
% 1.36/1.11  tff(119,plain,
% 1.36/1.11      (unpack1(inv(pack1(elem!0)), pack1(inv(pack1(elem!0)))) = inv(pack1(elem!0))),
% 1.36/1.11      inference(unit_resolution,[status(thm)],[118, 117])).
% 1.36/1.11  tff(120,plain,
% 1.36/1.11      (inv(pack1(elem!0)) = unpack1(inv(pack1(elem!0)), pack1(inv(pack1(elem!0))))),
% 1.36/1.11      inference(symmetry,[status(thm)],[119])).
% 1.36/1.11  tff(121,plain,
% 1.36/1.11      (inv(elem!0) = elem!0),
% 1.36/1.11      inference(transitivity,[status(thm)],[50, 62, 120, 110, 9])).
% 1.36/1.11  tff(122,plain,
% 1.36/1.11      ($false),
% 1.36/1.11      inference(unit_resolution,[status(thm)],[79, 121])).
% 1.36/1.11  tff(123,plain,((~(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))) = o)) | (~(inv(elem!0) = o)) | (~(pack1(elem!0) = i))), inference(lemma,lemma(discharge,[]))).
% 1.36/1.11  tff(124,plain,
% 1.36/1.11      (~(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))) = o)),
% 1.36/1.11      inference(unit_resolution,[status(thm)],[123, 51, 50])).
% 1.36/1.11  tff(125,plain,
% 1.36/1.11      (((~![X: $i] : ((X = i) | (X = o))) | ((pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))) = i) | (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))) = o))) <=> ((~![X: $i] : ((X = i) | (X = o))) | (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))) = i) | (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))) = o))),
% 1.36/1.11      inference(rewrite,[status(thm)],[])).
% 1.36/1.11  tff(126,plain,
% 1.36/1.11      ((~![X: $i] : ((X = i) | (X = o))) | ((pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))) = i) | (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))) = o))),
% 1.36/1.11      inference(quant_inst,[status(thm)],[])).
% 1.36/1.11  tff(127,plain,
% 1.36/1.11      ((~![X: $i] : ((X = i) | (X = o))) | (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))) = i) | (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))) = o)),
% 1.36/1.11      inference(modus_ponens,[status(thm)],[126, 125])).
% 1.36/1.11  tff(128,plain,
% 1.36/1.11      ((pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))) = i) | (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))) = o)),
% 1.36/1.11      inference(unit_resolution,[status(thm)],[127, 33])).
% 1.36/1.11  tff(129,plain,
% 1.36/1.11      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))) = i),
% 1.36/1.11      inference(unit_resolution,[status(thm)],[128, 124])).
% 1.36/1.11  tff(130,plain,
% 1.36/1.11      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))) = pack1(elem!0)),
% 1.36/1.11      inference(transitivity,[status(thm)],[129, 52])).
% 1.36/1.11  tff(131,plain,
% 1.36/1.11      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))) = pack1(pack1(elem!0))),
% 1.36/1.11      inference(monotonicity,[status(thm)],[130])).
% 1.36/1.11  tff(132,plain,
% 1.36/1.11      (pack1(pack1(elem!0)) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))),
% 1.36/1.11      inference(symmetry,[status(thm)],[131])).
% 1.36/1.11  tff(133,plain,
% 1.36/1.11      ((~![X1: $i] : (unpack1(inv(X1), pack1(X1)) = X1)) | (unpack1(inv(pack1(pack1(elem!0))), pack1(pack1(pack1(elem!0)))) = pack1(pack1(elem!0)))),
% 1.36/1.11      inference(quant_inst,[status(thm)],[])).
% 1.36/1.11  tff(134,plain,
% 1.36/1.11      (unpack1(inv(pack1(pack1(elem!0))), pack1(pack1(pack1(elem!0)))) = pack1(pack1(elem!0))),
% 1.36/1.11      inference(unit_resolution,[status(thm)],[133, 7])).
% 1.36/1.11  tff(135,plain,
% 1.36/1.11      (inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))) = inv(pack1(pack1(elem!0)))),
% 1.36/1.11      inference(monotonicity,[status(thm)],[131])).
% 1.36/1.11  tff(136,plain,
% 1.36/1.11      (inv(pack1(pack1(elem!0))) = inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))),
% 1.36/1.11      inference(symmetry,[status(thm)],[135])).
% 1.36/1.11  tff(137,plain,
% 1.36/1.11      (pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = pack1(elem!0)),
% 1.36/1.11      inference(transitivity,[status(thm)],[40, 52])).
% 1.36/1.11  tff(138,plain,
% 1.36/1.11      (pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = pack1(pack1(elem!0))),
% 1.36/1.11      inference(monotonicity,[status(thm)],[137])).
% 1.36/1.11  tff(139,plain,
% 1.36/1.11      (pack1(pack1(elem!0)) = pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))),
% 1.36/1.11      inference(symmetry,[status(thm)],[138])).
% 1.36/1.11  tff(140,plain,
% 1.36/1.11      (inv(pack1(pack1(elem!0))) = inv(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))),
% 1.36/1.11      inference(monotonicity,[status(thm)],[139])).
% 1.36/1.11  tff(141,plain,
% 1.36/1.11      (inv(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = inv(pack1(pack1(elem!0)))),
% 1.36/1.11      inference(symmetry,[status(thm)],[140])).
% 1.36/1.11  tff(142,plain,
% 1.36/1.11      (pack1(elem!0) = pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))),
% 1.36/1.11      inference(transitivity,[status(thm)],[51, 42])).
% 1.36/1.11  tff(143,assumption,(inv(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = o), introduced(assumption)).
% 1.36/1.11  tff(144,plain,
% 1.36/1.11      (o = inv(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))),
% 1.36/1.11      inference(symmetry,[status(thm)],[143])).
% 1.36/1.11  tff(145,plain,
% 1.36/1.11      (inv(elem!0) = inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))),
% 1.36/1.11      inference(transitivity,[status(thm)],[50, 144, 141, 136])).
% 1.36/1.11  tff(146,plain,
% 1.36/1.11      (unpack1(inv(elem!0), pack1(elem!0)) = unpack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))), pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))),
% 1.36/1.11      inference(monotonicity,[status(thm)],[145, 142])).
% 1.36/1.11  tff(147,plain,
% 1.36/1.11      (unpack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))), pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = unpack1(inv(elem!0), pack1(elem!0))),
% 1.36/1.11      inference(symmetry,[status(thm)],[146])).
% 1.36/1.11  tff(148,plain,
% 1.36/1.11      ((~![X1: $i] : (unpack1(X1, pack1(X1)) = X1)) | (unpack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))), pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))),
% 1.36/1.11      inference(quant_inst,[status(thm)],[])).
% 1.36/1.11  tff(149,plain,
% 1.36/1.11      (unpack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))), pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))),
% 1.36/1.11      inference(unit_resolution,[status(thm)],[148, 117])).
% 1.36/1.11  tff(150,plain,
% 1.36/1.11      (inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))) = unpack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))), pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))),
% 1.36/1.11      inference(symmetry,[status(thm)],[149])).
% 1.36/1.11  tff(151,plain,
% 1.36/1.11      (inv(elem!0) = elem!0),
% 1.36/1.11      inference(transitivity,[status(thm)],[50, 144, 141, 136, 150, 147, 9])).
% 1.36/1.11  tff(152,plain,
% 1.36/1.11      ($false),
% 1.36/1.11      inference(unit_resolution,[status(thm)],[79, 151])).
% 1.36/1.11  tff(153,plain,((~(inv(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = o)) | (~(inv(elem!0) = o)) | (~(pack1(elem!0) = i)) | (~(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = i))), inference(lemma,lemma(discharge,[]))).
% 1.36/1.11  tff(154,plain,
% 1.36/1.11      (~(inv(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = o)),
% 1.36/1.11      inference(unit_resolution,[status(thm)],[153, 40, 51, 50])).
% 1.36/1.11  tff(155,plain,
% 1.36/1.11      (((~![X: $i] : ((X = i) | (X = o))) | ((inv(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = i) | (inv(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = o))) <=> ((~![X: $i] : ((X = i) | (X = o))) | (inv(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = i) | (inv(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = o))),
% 1.36/1.11      inference(rewrite,[status(thm)],[])).
% 1.36/1.11  tff(156,plain,
% 1.36/1.11      ((~![X: $i] : ((X = i) | (X = o))) | ((inv(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = i) | (inv(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = o))),
% 1.36/1.11      inference(quant_inst,[status(thm)],[])).
% 1.36/1.11  tff(157,plain,
% 1.36/1.11      ((~![X: $i] : ((X = i) | (X = o))) | (inv(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = i) | (inv(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = o)),
% 1.36/1.11      inference(modus_ponens,[status(thm)],[156, 155])).
% 1.36/1.11  tff(158,plain,
% 1.36/1.11      ((inv(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = i) | (inv(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = o)),
% 1.36/1.11      inference(unit_resolution,[status(thm)],[157, 33])).
% 1.36/1.11  tff(159,plain,
% 1.36/1.11      (inv(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = i),
% 1.36/1.11      inference(unit_resolution,[status(thm)],[158, 154])).
% 1.36/1.11  tff(160,plain,
% 1.36/1.11      (i = inv(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))),
% 1.36/1.11      inference(symmetry,[status(thm)],[159])).
% 1.36/1.11  tff(161,plain,
% 1.36/1.11      (pack1(elem!0) = inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))),
% 1.36/1.11      inference(transitivity,[status(thm)],[51, 160, 141, 136])).
% 1.36/1.11  tff(162,plain,
% 1.36/1.11      (pack1(pack1(elem!0)) = pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))),
% 1.36/1.11      inference(monotonicity,[status(thm)],[161])).
% 1.36/1.11  tff(163,plain,
% 1.36/1.11      (pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = pack1(pack1(elem!0))),
% 1.36/1.11      inference(symmetry,[status(thm)],[162])).
% 1.36/1.11  tff(164,plain,
% 1.36/1.11      (inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))),
% 1.36/1.11      inference(transitivity,[status(thm)],[135, 140, 159, 42, 163, 132])).
% 1.36/1.11  tff(165,plain,
% 1.36/1.11      ((~![X: $i] : (~(inv(X) = X))) | (~(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))),
% 1.36/1.11      inference(quant_inst,[status(thm)],[])).
% 1.36/1.11  tff(166,plain,
% 1.36/1.11      (~(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))),
% 1.36/1.11      inference(unit_resolution,[status(thm)],[165, 23])).
% 1.36/1.11  tff(167,plain,
% 1.36/1.11      ($false),
% 1.36/1.11      inference(unit_resolution,[status(thm)],[166, 164])).
% 1.36/1.11  tff(168,plain,((~(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = i)) | (~(pack1(elem!0) = i)) | (~(inv(elem!0) = o))), inference(lemma,lemma(discharge,[]))).
% 1.36/1.11  tff(169,plain,
% 1.36/1.11      (~(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = i)),
% 1.36/1.11      inference(unit_resolution,[status(thm)],[168, 51, 50])).
% 1.36/1.11  tff(170,plain,
% 1.36/1.11      (pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = o),
% 1.36/1.11      inference(unit_resolution,[status(thm)],[105, 169])).
% 1.36/1.11  tff(171,plain,
% 1.36/1.11      (pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = inv(pack1(elem!0))),
% 1.36/1.11      inference(transitivity,[status(thm)],[170, 62])).
% 1.36/1.11  tff(172,plain,
% 1.36/1.11      (pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = pack1(inv(pack1(elem!0)))),
% 1.36/1.11      inference(monotonicity,[status(thm)],[171])).
% 1.36/1.11  tff(173,plain,
% 1.36/1.11      (pack1(inv(pack1(elem!0))) = pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))),
% 1.36/1.11      inference(symmetry,[status(thm)],[172])).
% 1.36/1.11  tff(174,plain,
% 1.36/1.11      (pack1(pack1(inv(pack1(elem!0)))) = pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))),
% 1.36/1.11      inference(monotonicity,[status(thm)],[173])).
% 1.36/1.11  tff(175,plain,
% 1.36/1.11      (pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = pack1(pack1(inv(pack1(elem!0))))),
% 1.36/1.11      inference(symmetry,[status(thm)],[174])).
% 1.36/1.11  tff(176,plain,
% 1.36/1.11      ((~![X1: $i] : (unpack1(inv(X1), pack1(X1)) = X1)) | (unpack1(inv(pack1(inv(pack1(elem!0)))), pack1(pack1(inv(pack1(elem!0))))) = pack1(inv(pack1(elem!0))))),
% 1.36/1.11      inference(quant_inst,[status(thm)],[])).
% 1.36/1.11  tff(177,plain,
% 1.36/1.11      (unpack1(inv(pack1(inv(pack1(elem!0)))), pack1(pack1(inv(pack1(elem!0))))) = pack1(inv(pack1(elem!0)))),
% 1.36/1.11      inference(unit_resolution,[status(thm)],[176, 7])).
% 1.36/1.11  tff(178,assumption,(inv(pack1(inv(pack1(elem!0)))) = o), introduced(assumption)).
% 1.36/1.11  tff(179,plain,
% 1.36/1.11      (o = inv(pack1(inv(pack1(elem!0))))),
% 1.36/1.11      inference(symmetry,[status(thm)],[178])).
% 1.36/1.11  tff(180,assumption,(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = o), introduced(assumption)).
% 1.36/1.11  tff(181,assumption,(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = o), introduced(assumption)).
% 1.36/1.11  tff(182,plain,
% 1.36/1.11      (pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = inv(pack1(elem!0))),
% 1.36/1.11      inference(transitivity,[status(thm)],[181, 12])).
% 1.36/1.11  tff(183,plain,
% 1.36/1.11      (pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = pack1(inv(pack1(elem!0)))),
% 1.36/1.11      inference(monotonicity,[status(thm)],[182])).
% 1.36/1.11  tff(184,plain,
% 1.36/1.11      (pack1(inv(pack1(elem!0))) = pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))),
% 1.36/1.11      inference(symmetry,[status(thm)],[183])).
% 1.36/1.11  tff(185,plain,
% 1.36/1.11      (pack1(pack1(inv(pack1(elem!0)))) = pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))),
% 1.36/1.11      inference(monotonicity,[status(thm)],[184])).
% 1.36/1.11  tff(186,plain,
% 1.36/1.11      (pack1(pack1(inv(pack1(elem!0)))) = inv(pack1(inv(pack1(elem!0))))),
% 1.36/1.11      inference(transitivity,[status(thm)],[185, 180, 179])).
% 1.36/1.11  tff(187,plain,
% 1.36/1.11      (inv(pack1(inv(pack1(elem!0)))) = inv(pack1(elem!0))),
% 1.36/1.11      inference(transitivity,[status(thm)],[178, 12])).
% 1.36/1.11  tff(188,plain,
% 1.36/1.11      (unpack1(inv(pack1(inv(pack1(elem!0)))), pack1(pack1(inv(pack1(elem!0))))) = unpack1(inv(pack1(elem!0)), inv(pack1(inv(pack1(elem!0)))))),
% 1.36/1.11      inference(monotonicity,[status(thm)],[187, 186])).
% 1.36/1.11  tff(189,plain,
% 1.36/1.11      (unpack1(inv(pack1(elem!0)), inv(pack1(inv(pack1(elem!0))))) = unpack1(inv(pack1(inv(pack1(elem!0)))), pack1(pack1(inv(pack1(elem!0)))))),
% 1.36/1.11      inference(symmetry,[status(thm)],[188])).
% 1.36/1.11  tff(190,plain,
% 1.36/1.11      (inv(pack1(inv(pack1(elem!0)))) = pack1(inv(pack1(elem!0)))),
% 1.36/1.11      inference(transitivity,[status(thm)],[178, 12, 76, 189, 177])).
% 1.36/1.11  tff(191,plain,
% 1.36/1.11      ($false),
% 1.36/1.11      inference(unit_resolution,[status(thm)],[100, 190])).
% 1.36/1.11  tff(192,plain,((~(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = o)) | (~(inv(pack1(inv(pack1(elem!0)))) = o)) | (~(inv(pack1(elem!0)) = o)) | (~(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = o))), inference(lemma,lemma(discharge,[]))).
% 1.36/1.11  tff(193,plain,
% 1.36/1.11      (~(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = o)),
% 1.36/1.11      inference(unit_resolution,[status(thm)],[192, 87, 61, 170])).
% 1.36/1.11  tff(194,plain,
% 1.36/1.11      (((~![X: $i] : ((X = i) | (X = o))) | ((pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = i) | (pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = o))) <=> ((~![X: $i] : ((X = i) | (X = o))) | (pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = i) | (pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = o))),
% 1.36/1.11      inference(rewrite,[status(thm)],[])).
% 1.36/1.11  tff(195,plain,
% 1.36/1.11      ((~![X: $i] : ((X = i) | (X = o))) | ((pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = i) | (pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = o))),
% 1.36/1.11      inference(quant_inst,[status(thm)],[])).
% 1.36/1.11  tff(196,plain,
% 1.36/1.11      ((~![X: $i] : ((X = i) | (X = o))) | (pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = i) | (pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = o)),
% 1.36/1.11      inference(modus_ponens,[status(thm)],[195, 194])).
% 1.36/1.11  tff(197,plain,
% 1.36/1.11      ((pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = i) | (pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = o)),
% 1.36/1.11      inference(unit_resolution,[status(thm)],[196, 33])).
% 1.36/1.11  tff(198,plain,
% 1.36/1.11      (pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = i),
% 1.36/1.11      inference(unit_resolution,[status(thm)],[197, 193])).
% 1.36/1.11  tff(199,plain,
% 1.36/1.11      (i = pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))),
% 1.36/1.11      inference(symmetry,[status(thm)],[198])).
% 1.36/1.11  tff(200,plain,
% 1.36/1.11      (pack1(elem!0) = pack1(pack1(inv(pack1(elem!0))))),
% 1.36/1.11      inference(transitivity,[status(thm)],[51, 199, 175])).
% 1.36/1.11  tff(201,plain,
% 1.36/1.11      (pack1(pack1(elem!0)) = pack1(pack1(pack1(inv(pack1(elem!0)))))),
% 1.36/1.11      inference(monotonicity,[status(thm)],[200])).
% 1.36/1.11  tff(202,plain,
% 1.36/1.11      (pack1(pack1(pack1(elem!0))) = pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))),
% 1.36/1.11      inference(monotonicity,[status(thm)],[201])).
% 1.36/1.11  tff(203,plain,
% 1.36/1.11      (pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))) = pack1(pack1(pack1(elem!0)))),
% 1.36/1.11      inference(symmetry,[status(thm)],[202])).
% 1.36/1.11  tff(204,plain,
% 1.36/1.11      (pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))) = pack1(pack1(pack1(inv(pack1(elem!0)))))),
% 1.36/1.11      inference(monotonicity,[status(thm)],[175])).
% 1.36/1.11  tff(205,plain,
% 1.36/1.11      (pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))) = pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))),
% 1.36/1.11      inference(monotonicity,[status(thm)],[204])).
% 1.36/1.11  tff(206,plain,
% 1.36/1.11      (pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))) = pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))),
% 1.36/1.11      inference(monotonicity,[status(thm)],[205])).
% 1.36/1.11  tff(207,plain,
% 1.36/1.11      (pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))) = pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))),
% 1.36/1.11      inference(symmetry,[status(thm)],[206])).
% 1.36/1.11  tff(208,plain,
% 1.36/1.11      (pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))),
% 1.36/1.11      inference(monotonicity,[status(thm)],[207])).
% 1.36/1.11  tff(209,plain,
% 1.36/1.11      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))),
% 1.36/1.11      inference(monotonicity,[status(thm)],[208])).
% 1.36/1.11  tff(210,plain,
% 1.36/1.11      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))),
% 1.36/1.11      inference(symmetry,[status(thm)],[209])).
% 1.36/1.11  tff(211,plain,
% 1.36/1.11      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))),
% 1.36/1.11      inference(monotonicity,[status(thm)],[210])).
% 1.36/1.11  tff(212,plain,
% 1.36/1.11      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))) = pack1(elem!0)),
% 1.36/1.11      inference(transitivity,[status(thm)],[211, 129, 52])).
% 1.36/1.11  tff(213,plain,
% 1.36/1.11      (inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))) = inv(pack1(elem!0))),
% 1.36/1.11      inference(monotonicity,[status(thm)],[212])).
% 1.36/1.11  tff(214,plain,
% 1.36/1.11      (pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))) = pack1(inv(pack1(elem!0)))),
% 1.36/1.11      inference(monotonicity,[status(thm)],[213])).
% 1.36/1.11  tff(215,plain,
% 1.36/1.11      (pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))))) = pack1(pack1(inv(pack1(elem!0))))),
% 1.36/1.11      inference(monotonicity,[status(thm)],[214])).
% 1.36/1.11  tff(216,plain,
% 1.36/1.11      (pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))))) = pack1(pack1(pack1(inv(pack1(elem!0)))))),
% 1.36/1.11      inference(monotonicity,[status(thm)],[215])).
% 1.36/1.11  tff(217,plain,
% 1.36/1.11      (pack1(pack1(pack1(inv(pack1(elem!0))))) = pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))))))),
% 1.36/1.11      inference(symmetry,[status(thm)],[216])).
% 1.36/1.11  tff(218,plain,
% 1.36/1.11      (pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))) = pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))))))),
% 1.36/1.11      inference(monotonicity,[status(thm)],[217])).
% 1.36/1.11  tff(219,plain,
% 1.36/1.11      (pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))))))) = pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))),
% 1.36/1.11      inference(symmetry,[status(thm)],[218])).
% 1.36/1.11  tff(220,assumption,(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))) = i), introduced(assumption)).
% 1.36/1.11  tff(221,plain,
% 1.36/1.11      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))) = pack1(elem!0)),
% 1.36/1.11      inference(transitivity,[status(thm)],[220, 52])).
% 1.36/1.11  tff(222,plain,
% 1.36/1.11      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))) = pack1(pack1(elem!0))),
% 1.36/1.11      inference(monotonicity,[status(thm)],[221])).
% 1.36/1.11  tff(223,plain,
% 1.36/1.11      (pack1(pack1(elem!0)) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))),
% 1.36/1.11      inference(symmetry,[status(thm)],[222])).
% 1.36/1.11  tff(224,plain,
% 1.36/1.11      (pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = inv(pack1(elem!0))),
% 1.36/1.11      inference(transitivity,[status(thm)],[181, 62])).
% 1.36/1.11  tff(225,plain,
% 1.36/1.11      (pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = pack1(inv(pack1(elem!0)))),
% 1.36/1.11      inference(monotonicity,[status(thm)],[224])).
% 1.36/1.11  tff(226,plain,
% 1.36/1.11      (pack1(inv(pack1(elem!0))) = pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))),
% 1.36/1.11      inference(symmetry,[status(thm)],[225])).
% 1.36/1.11  tff(227,plain,
% 1.36/1.11      (pack1(pack1(inv(pack1(elem!0)))) = pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))),
% 1.36/1.11      inference(monotonicity,[status(thm)],[226])).
% 1.36/1.11  tff(228,plain,
% 1.36/1.11      (pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = pack1(pack1(inv(pack1(elem!0))))),
% 1.36/1.11      inference(symmetry,[status(thm)],[227])).
% 1.36/1.11  tff(229,assumption,(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = i), introduced(assumption)).
% 1.36/1.11  tff(230,plain,
% 1.36/1.11      (i = pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))),
% 1.36/1.11      inference(symmetry,[status(thm)],[229])).
% 1.36/1.11  tff(231,plain,
% 1.36/1.11      (pack1(elem!0) = pack1(pack1(inv(pack1(elem!0))))),
% 1.36/1.11      inference(transitivity,[status(thm)],[51, 230, 228])).
% 1.36/1.11  tff(232,plain,
% 1.36/1.11      (pack1(pack1(elem!0)) = pack1(pack1(pack1(inv(pack1(elem!0)))))),
% 1.36/1.11      inference(monotonicity,[status(thm)],[231])).
% 1.36/1.11  tff(233,plain,
% 1.36/1.11      (pack1(pack1(pack1(elem!0))) = pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))),
% 1.36/1.11      inference(monotonicity,[status(thm)],[232])).
% 1.36/1.11  tff(234,plain,
% 1.36/1.11      (pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))) = pack1(pack1(pack1(elem!0)))),
% 1.36/1.11      inference(symmetry,[status(thm)],[233])).
% 1.36/1.11  tff(235,plain,
% 1.36/1.11      (pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))) = pack1(pack1(pack1(inv(pack1(elem!0)))))),
% 1.36/1.11      inference(monotonicity,[status(thm)],[228])).
% 1.36/1.11  tff(236,plain,
% 1.36/1.11      (pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))) = pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))),
% 1.36/1.11      inference(monotonicity,[status(thm)],[235])).
% 1.36/1.11  tff(237,plain,
% 1.36/1.11      (pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))) = pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))),
% 1.36/1.11      inference(monotonicity,[status(thm)],[236])).
% 1.36/1.11  tff(238,plain,
% 1.36/1.11      (pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))) = pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))),
% 1.36/1.11      inference(symmetry,[status(thm)],[237])).
% 1.36/1.11  tff(239,plain,
% 1.36/1.11      (pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))),
% 1.36/1.11      inference(monotonicity,[status(thm)],[238])).
% 1.36/1.11  tff(240,plain,
% 1.36/1.11      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))),
% 1.36/1.11      inference(monotonicity,[status(thm)],[239])).
% 1.36/1.11  tff(241,plain,
% 1.36/1.11      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))),
% 1.36/1.11      inference(symmetry,[status(thm)],[240])).
% 1.36/1.11  tff(242,plain,
% 1.36/1.11      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[241])).
% 1.36/1.12  tff(243,plain,
% 1.36/1.12      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))) = pack1(elem!0)),
% 1.36/1.12      inference(transitivity,[status(thm)],[242, 220, 52])).
% 1.36/1.12  tff(244,plain,
% 1.36/1.12      (inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))) = inv(pack1(elem!0))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[243])).
% 1.36/1.12  tff(245,plain,
% 1.36/1.12      (pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))) = pack1(inv(pack1(elem!0)))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[244])).
% 1.36/1.12  tff(246,plain,
% 1.36/1.12      (pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))))) = pack1(pack1(inv(pack1(elem!0))))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[245])).
% 1.36/1.12  tff(247,plain,
% 1.36/1.12      (pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))))) = pack1(pack1(pack1(inv(pack1(elem!0)))))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[246])).
% 1.36/1.12  tff(248,plain,
% 1.36/1.12      (pack1(pack1(pack1(inv(pack1(elem!0))))) = pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))))))),
% 1.36/1.12      inference(symmetry,[status(thm)],[247])).
% 1.36/1.12  tff(249,plain,
% 1.36/1.12      (pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))) = pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))))))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[248])).
% 1.36/1.12  tff(250,plain,
% 1.36/1.12      (pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))))))) = pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))),
% 1.36/1.12      inference(symmetry,[status(thm)],[249])).
% 1.36/1.12  tff(251,assumption,(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))))))) = i), introduced(assumption)).
% 1.36/1.12  tff(252,plain,
% 1.36/1.12      (i = pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))))))),
% 1.36/1.12      inference(symmetry,[status(thm)],[251])).
% 1.36/1.12  tff(253,plain,
% 1.36/1.12      ((inv(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) <=> (inv(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = o)),
% 1.36/1.12      inference(monotonicity,[status(thm)],[181])).
% 1.36/1.12  tff(254,plain,
% 1.36/1.12      ((~(inv(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) <=> (~(inv(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = o))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[253])).
% 1.36/1.12  tff(255,plain,
% 1.36/1.12      ((~![X: $i] : (~(inv(X) = X))) | (~(inv(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))),
% 1.36/1.12      inference(quant_inst,[status(thm)],[])).
% 1.36/1.12  tff(256,plain,
% 1.36/1.12      (~(inv(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))),
% 1.36/1.12      inference(unit_resolution,[status(thm)],[255, 23])).
% 1.36/1.12  tff(257,plain,
% 1.36/1.12      (~(inv(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = o)),
% 1.36/1.12      inference(modus_ponens,[status(thm)],[256, 254])).
% 1.36/1.12  tff(258,plain,
% 1.36/1.12      (((~![X: $i] : ((X = i) | (X = o))) | ((inv(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = i) | (inv(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = o))) <=> ((~![X: $i] : ((X = i) | (X = o))) | (inv(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = i) | (inv(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = o))),
% 1.36/1.12      inference(rewrite,[status(thm)],[])).
% 1.36/1.12  tff(259,plain,
% 1.36/1.12      ((~![X: $i] : ((X = i) | (X = o))) | ((inv(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = i) | (inv(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = o))),
% 1.36/1.12      inference(quant_inst,[status(thm)],[])).
% 1.36/1.12  tff(260,plain,
% 1.36/1.12      ((~![X: $i] : ((X = i) | (X = o))) | (inv(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = i) | (inv(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = o)),
% 1.36/1.12      inference(modus_ponens,[status(thm)],[259, 258])).
% 1.36/1.12  tff(261,plain,
% 1.36/1.12      ((inv(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = i) | (inv(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = o)),
% 1.36/1.12      inference(unit_resolution,[status(thm)],[260, 33])).
% 1.36/1.12  tff(262,plain,
% 1.36/1.12      (inv(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = i),
% 1.36/1.12      inference(unit_resolution,[status(thm)],[261, 257])).
% 1.36/1.12  tff(263,plain,
% 1.36/1.12      (inv(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = pack1(pack1(pack1(elem!0)))),
% 1.36/1.12      inference(transitivity,[status(thm)],[262, 252, 250, 234])).
% 1.36/1.12  tff(264,plain,
% 1.36/1.12      (inv(pack1(pack1(elem!0))) = inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[223])).
% 1.36/1.12  tff(265,plain,
% 1.36/1.12      (inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))) = inv(pack1(pack1(elem!0)))),
% 1.36/1.12      inference(symmetry,[status(thm)],[264])).
% 1.36/1.12  tff(266,plain,
% 1.36/1.12      (unpack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))), inv(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = unpack1(inv(pack1(pack1(elem!0))), pack1(pack1(pack1(elem!0))))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[265, 263])).
% 1.36/1.12  tff(267,plain,
% 1.36/1.12      ((~![X1: $i] : (unpack1(X1, inv(pack1(X1))) = X1)) | (unpack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))), inv(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))),
% 1.36/1.12      inference(quant_inst,[status(thm)],[])).
% 1.36/1.12  tff(268,plain,
% 1.36/1.12      (unpack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))), inv(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))),
% 1.36/1.12      inference(unit_resolution,[status(thm)],[267, 73])).
% 1.36/1.12  tff(269,plain,
% 1.36/1.12      (inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))) = unpack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))), inv(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))),
% 1.36/1.12      inference(symmetry,[status(thm)],[268])).
% 1.36/1.12  tff(270,plain,
% 1.36/1.12      (inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))),
% 1.36/1.12      inference(transitivity,[status(thm)],[269, 266, 134, 223])).
% 1.36/1.12  tff(271,plain,
% 1.36/1.12      ($false),
% 1.36/1.12      inference(unit_resolution,[status(thm)],[166, 270])).
% 1.36/1.12  tff(272,plain,((~(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))))))) = i)) | (~(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))) = i)) | (~(pack1(elem!0) = i)) | (~(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = o)) | (~(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = i))), inference(lemma,lemma(discharge,[]))).
% 1.36/1.12  tff(273,plain,
% 1.36/1.12      (~(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))))))) = i)),
% 1.36/1.12      inference(unit_resolution,[status(thm)],[272, 129, 51, 170, 198])).
% 1.36/1.12  tff(274,plain,
% 1.36/1.12      (((~![X: $i] : ((X = i) | (X = o))) | ((pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))))))) = i) | (pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))))))) = o))) <=> ((~![X: $i] : ((X = i) | (X = o))) | (pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))))))) = i) | (pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))))))) = o))),
% 1.36/1.12      inference(rewrite,[status(thm)],[])).
% 1.36/1.12  tff(275,plain,
% 1.36/1.12      ((~![X: $i] : ((X = i) | (X = o))) | ((pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))))))) = i) | (pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))))))) = o))),
% 1.36/1.12      inference(quant_inst,[status(thm)],[])).
% 1.36/1.12  tff(276,plain,
% 1.36/1.12      ((~![X: $i] : ((X = i) | (X = o))) | (pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))))))) = i) | (pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))))))) = o)),
% 1.36/1.12      inference(modus_ponens,[status(thm)],[275, 274])).
% 1.36/1.12  tff(277,plain,
% 1.36/1.12      ((pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))))))) = i) | (pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))))))) = o)),
% 1.36/1.12      inference(unit_resolution,[status(thm)],[276, 33])).
% 1.36/1.12  tff(278,plain,
% 1.36/1.12      (pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))))))) = o),
% 1.36/1.12      inference(unit_resolution,[status(thm)],[277, 273])).
% 1.36/1.12  tff(279,plain,
% 1.36/1.12      (o = pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))))))),
% 1.36/1.12      inference(symmetry,[status(thm)],[278])).
% 1.36/1.12  tff(280,plain,
% 1.36/1.12      (pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = pack1(pack1(pack1(elem!0)))),
% 1.36/1.12      inference(transitivity,[status(thm)],[170, 279, 219, 203])).
% 1.36/1.12  tff(281,plain,
% 1.36/1.12      (inv(pack1(pack1(elem!0))) = inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[132])).
% 1.36/1.12  tff(282,plain,
% 1.36/1.12      (inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))) = inv(pack1(pack1(elem!0)))),
% 1.36/1.12      inference(symmetry,[status(thm)],[281])).
% 1.36/1.12  tff(283,plain,
% 1.36/1.12      (unpack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))), pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = unpack1(inv(pack1(pack1(elem!0))), pack1(pack1(pack1(elem!0))))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[282, 280])).
% 1.36/1.12  tff(284,plain,
% 1.36/1.12      (inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))),
% 1.36/1.12      inference(transitivity,[status(thm)],[150, 283, 134, 132])).
% 1.36/1.12  tff(285,plain,
% 1.36/1.12      ($false),
% 1.36/1.12      inference(unit_resolution,[status(thm)],[166, 284])).
% 1.36/1.12  tff(286,plain,((~(pack1(elem!0) = i)) | (~(inv(elem!0) = o))), inference(lemma,lemma(discharge,[]))).
% 1.36/1.12  tff(287,plain,
% 1.36/1.12      (~(pack1(elem!0) = i)),
% 1.36/1.12      inference(unit_resolution,[status(thm)],[286, 50])).
% 1.36/1.12  tff(288,plain,
% 1.36/1.12      (pack1(elem!0) = o),
% 1.36/1.12      inference(unit_resolution,[status(thm)],[37, 287])).
% 1.36/1.12  tff(289,plain,
% 1.36/1.12      (o = pack1(elem!0)),
% 1.36/1.12      inference(symmetry,[status(thm)],[288])).
% 1.36/1.12  tff(290,plain,
% 1.36/1.12      ((inv(pack1(elem!0)) = o) <=> (inv(pack1(elem!0)) = pack1(elem!0))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[289])).
% 1.36/1.12  tff(291,plain,
% 1.36/1.12      ((inv(pack1(elem!0)) = pack1(elem!0)) <=> (inv(pack1(elem!0)) = o)),
% 1.36/1.12      inference(symmetry,[status(thm)],[290])).
% 1.36/1.12  tff(292,plain,
% 1.36/1.12      ((~(inv(pack1(elem!0)) = pack1(elem!0))) <=> (~(inv(pack1(elem!0)) = o))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[291])).
% 1.36/1.12  tff(293,plain,
% 1.36/1.12      (~(inv(pack1(elem!0)) = o)),
% 1.36/1.12      inference(modus_ponens,[status(thm)],[25, 292])).
% 1.36/1.12  tff(294,plain,
% 1.36/1.12      (inv(pack1(elem!0)) = i),
% 1.36/1.12      inference(unit_resolution,[status(thm)],[60, 293])).
% 1.36/1.12  tff(295,plain,
% 1.36/1.12      (i = inv(pack1(elem!0))),
% 1.36/1.12      inference(symmetry,[status(thm)],[294])).
% 1.36/1.12  tff(296,assumption,(pack1(elem!0) = o), introduced(assumption)).
% 1.36/1.12  tff(297,plain,
% 1.36/1.12      (o = pack1(elem!0)),
% 1.36/1.12      inference(symmetry,[status(thm)],[296])).
% 1.36/1.12  tff(298,plain,
% 1.36/1.12      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))) = pack1(elem!0)),
% 1.36/1.12      inference(transitivity,[status(thm)],[41, 297])).
% 1.36/1.12  tff(299,plain,
% 1.36/1.12      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))) = pack1(pack1(elem!0))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[298])).
% 1.36/1.12  tff(300,plain,
% 1.36/1.12      (pack1(pack1(elem!0)) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))),
% 1.36/1.12      inference(symmetry,[status(thm)],[299])).
% 1.36/1.12  tff(301,plain,
% 1.36/1.12      ((inv(pack1(elem!0)) = o) <=> (inv(pack1(elem!0)) = pack1(elem!0))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[297])).
% 1.36/1.12  tff(302,plain,
% 1.36/1.12      ((inv(pack1(elem!0)) = pack1(elem!0)) <=> (inv(pack1(elem!0)) = o)),
% 1.36/1.12      inference(symmetry,[status(thm)],[301])).
% 1.36/1.12  tff(303,plain,
% 1.36/1.12      ((~(inv(pack1(elem!0)) = pack1(elem!0))) <=> (~(inv(pack1(elem!0)) = o))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[302])).
% 1.36/1.12  tff(304,plain,
% 1.36/1.12      (~(inv(pack1(elem!0)) = o)),
% 1.36/1.12      inference(modus_ponens,[status(thm)],[25, 303])).
% 1.36/1.12  tff(305,plain,
% 1.36/1.12      (inv(pack1(elem!0)) = i),
% 1.36/1.12      inference(unit_resolution,[status(thm)],[60, 304])).
% 1.36/1.12  tff(306,plain,
% 1.36/1.12      (i = inv(pack1(elem!0))),
% 1.36/1.12      inference(symmetry,[status(thm)],[305])).
% 1.36/1.12  tff(307,plain,
% 1.36/1.12      (pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = inv(pack1(elem!0))),
% 1.36/1.12      inference(transitivity,[status(thm)],[40, 306])).
% 1.36/1.12  tff(308,plain,
% 1.36/1.12      (pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = pack1(inv(pack1(elem!0)))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[307])).
% 1.36/1.12  tff(309,plain,
% 1.36/1.12      (pack1(inv(pack1(elem!0))) = pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))),
% 1.36/1.12      inference(symmetry,[status(thm)],[308])).
% 1.36/1.12  tff(310,plain,
% 1.36/1.12      (pack1(pack1(inv(pack1(elem!0)))) = pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[309])).
% 1.36/1.12  tff(311,plain,
% 1.36/1.12      (pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = pack1(pack1(inv(pack1(elem!0))))),
% 1.36/1.12      inference(symmetry,[status(thm)],[310])).
% 1.36/1.12  tff(312,plain,
% 1.36/1.12      (pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))) = pack1(pack1(pack1(inv(pack1(elem!0)))))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[311])).
% 1.36/1.12  tff(313,plain,
% 1.36/1.12      (pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))) = pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[312])).
% 1.36/1.12  tff(314,plain,
% 1.36/1.12      (pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))) = pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[313])).
% 1.36/1.12  tff(315,plain,
% 1.36/1.12      (pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))) = pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))),
% 1.36/1.12      inference(symmetry,[status(thm)],[314])).
% 1.36/1.12  tff(316,plain,
% 1.36/1.12      (pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[315])).
% 1.36/1.12  tff(317,plain,
% 1.36/1.12      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[316])).
% 1.36/1.12  tff(318,plain,
% 1.36/1.12      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[317])).
% 1.36/1.12  tff(319,plain,
% 1.36/1.12      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))),
% 1.36/1.12      inference(symmetry,[status(thm)],[318])).
% 1.36/1.12  tff(320,plain,
% 1.36/1.12      (o = pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))),
% 1.36/1.12      inference(symmetry,[status(thm)],[180])).
% 1.36/1.12  tff(321,plain,
% 1.36/1.12      (pack1(elem!0) = pack1(pack1(inv(pack1(elem!0))))),
% 1.36/1.12      inference(transitivity,[status(thm)],[296, 320, 311])).
% 1.36/1.12  tff(322,plain,
% 1.36/1.12      (pack1(pack1(elem!0)) = pack1(pack1(pack1(inv(pack1(elem!0)))))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[321])).
% 1.36/1.12  tff(323,plain,
% 1.36/1.12      (pack1(pack1(pack1(elem!0))) = pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[322])).
% 1.36/1.12  tff(324,plain,
% 1.36/1.12      (pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))) = pack1(pack1(pack1(elem!0)))),
% 1.36/1.12      inference(symmetry,[status(thm)],[323])).
% 1.36/1.12  tff(325,plain,
% 1.36/1.12      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))),
% 1.36/1.12      inference(symmetry,[status(thm)],[317])).
% 1.36/1.12  tff(326,plain,
% 1.36/1.12      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[325])).
% 1.36/1.12  tff(327,plain,
% 1.36/1.12      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))) = pack1(elem!0)),
% 1.36/1.12      inference(transitivity,[status(thm)],[326, 41, 297])).
% 1.36/1.12  tff(328,plain,
% 1.36/1.12      (inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))) = inv(pack1(elem!0))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[327])).
% 1.36/1.12  tff(329,plain,
% 1.36/1.12      (pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))) = pack1(inv(pack1(elem!0)))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[328])).
% 1.36/1.12  tff(330,plain,
% 1.36/1.12      (pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))))) = pack1(pack1(inv(pack1(elem!0))))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[329])).
% 1.36/1.12  tff(331,plain,
% 1.36/1.12      (pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))))) = pack1(pack1(pack1(inv(pack1(elem!0)))))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[330])).
% 1.36/1.12  tff(332,plain,
% 1.36/1.12      (pack1(pack1(pack1(inv(pack1(elem!0))))) = pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))))))),
% 1.36/1.12      inference(symmetry,[status(thm)],[331])).
% 1.36/1.12  tff(333,plain,
% 1.36/1.12      (pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))) = pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))))))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[332])).
% 1.36/1.12  tff(334,plain,
% 1.36/1.12      (pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))))))) = pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))),
% 1.36/1.12      inference(symmetry,[status(thm)],[333])).
% 1.36/1.12  tff(335,assumption,(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))))))) = o), introduced(assumption)).
% 1.36/1.12  tff(336,plain,
% 1.36/1.12      (o = pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))))))),
% 1.36/1.12      inference(symmetry,[status(thm)],[335])).
% 1.36/1.12  tff(337,plain,
% 1.36/1.12      ((inv(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) <=> (inv(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = i)),
% 1.36/1.12      inference(monotonicity,[status(thm)],[40])).
% 1.36/1.12  tff(338,plain,
% 1.36/1.12      ((~(inv(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) <=> (~(inv(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = i))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[337])).
% 1.36/1.12  tff(339,plain,
% 1.36/1.12      (~(inv(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = i)),
% 1.36/1.12      inference(modus_ponens,[status(thm)],[256, 338])).
% 1.36/1.12  tff(340,plain,
% 1.36/1.12      (inv(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = o),
% 1.36/1.12      inference(unit_resolution,[status(thm)],[261, 339])).
% 1.36/1.12  tff(341,plain,
% 1.36/1.12      (inv(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = pack1(pack1(pack1(elem!0)))),
% 1.36/1.12      inference(transitivity,[status(thm)],[340, 336, 334, 324])).
% 1.36/1.12  tff(342,plain,
% 1.36/1.12      (inv(pack1(pack1(elem!0))) = inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[300])).
% 1.36/1.12  tff(343,plain,
% 1.36/1.12      (inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))) = inv(pack1(pack1(elem!0)))),
% 1.36/1.12      inference(symmetry,[status(thm)],[342])).
% 1.36/1.12  tff(344,plain,
% 1.36/1.12      (unpack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))), inv(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = unpack1(inv(pack1(pack1(elem!0))), pack1(pack1(pack1(elem!0))))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[343, 341])).
% 1.36/1.12  tff(345,plain,
% 1.36/1.12      (inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))),
% 1.36/1.12      inference(transitivity,[status(thm)],[269, 344, 134, 300])).
% 1.36/1.12  tff(346,plain,
% 1.36/1.12      ($false),
% 1.36/1.12      inference(unit_resolution,[status(thm)],[166, 345])).
% 1.36/1.12  tff(347,plain,((~(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))))))) = o)) | (~(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))) = o)) | (~(pack1(elem!0) = o)) | (~(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = i)) | (~(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = o))), inference(lemma,lemma(discharge,[]))).
% 1.36/1.12  tff(348,plain,
% 1.36/1.12      (~(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))))))) = o)),
% 1.36/1.12      inference(unit_resolution,[status(thm)],[347, 180, 296, 40, 41])).
% 1.36/1.12  tff(349,plain,
% 1.36/1.12      (pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))))))) = i),
% 1.36/1.12      inference(unit_resolution,[status(thm)],[277, 348])).
% 1.36/1.12  tff(350,plain,
% 1.36/1.12      (i = pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))))))),
% 1.36/1.12      inference(symmetry,[status(thm)],[349])).
% 1.36/1.12  tff(351,plain,
% 1.36/1.12      (pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = pack1(pack1(pack1(elem!0)))),
% 1.36/1.12      inference(transitivity,[status(thm)],[40, 350, 334, 324])).
% 1.36/1.12  tff(352,plain,
% 1.36/1.12      (unpack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))), pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = unpack1(inv(pack1(pack1(elem!0))), pack1(pack1(pack1(elem!0))))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[343, 351])).
% 1.36/1.12  tff(353,plain,
% 1.36/1.12      (inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))),
% 1.36/1.12      inference(transitivity,[status(thm)],[150, 352, 134, 300])).
% 1.36/1.12  tff(354,plain,
% 1.36/1.12      ($false),
% 1.36/1.12      inference(unit_resolution,[status(thm)],[166, 353])).
% 1.36/1.12  tff(355,plain,((~(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = o)) | (~(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = i)) | (~(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))) = o)) | (~(pack1(elem!0) = o))), inference(lemma,lemma(discharge,[]))).
% 1.36/1.12  tff(356,plain,
% 1.36/1.12      (~(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = o)),
% 1.36/1.12      inference(unit_resolution,[status(thm)],[355, 40, 41, 296])).
% 1.36/1.12  tff(357,plain,
% 1.36/1.12      (pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = i),
% 1.36/1.12      inference(unit_resolution,[status(thm)],[197, 356])).
% 1.36/1.12  tff(358,plain,
% 1.36/1.12      (pack1(pack1(inv(pack1(elem!0)))) = inv(pack1(elem!0))),
% 1.36/1.12      inference(transitivity,[status(thm)],[310, 357, 306])).
% 1.36/1.12  tff(359,plain,
% 1.36/1.12      (pack1(pack1(pack1(inv(pack1(elem!0))))) = pack1(inv(pack1(elem!0)))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[358])).
% 1.36/1.12  tff(360,plain,
% 1.36/1.12      (pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))) = pack1(pack1(inv(pack1(elem!0))))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[359])).
% 1.36/1.12  tff(361,plain,
% 1.36/1.12      (pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))) = inv(pack1(elem!0))),
% 1.36/1.12      inference(transitivity,[status(thm)],[360, 310, 357, 306])).
% 1.36/1.12  tff(362,plain,
% 1.36/1.12      (pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))) = pack1(inv(pack1(elem!0)))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[361])).
% 1.36/1.12  tff(363,plain,
% 1.36/1.12      (pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))) = pack1(inv(pack1(elem!0)))),
% 1.36/1.12      inference(transitivity,[status(thm)],[314, 362])).
% 1.36/1.12  tff(364,plain,
% 1.36/1.12      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))) = pack1(pack1(inv(pack1(elem!0))))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[363])).
% 1.36/1.12  tff(365,plain,
% 1.36/1.12      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))) = inv(pack1(elem!0))),
% 1.36/1.12      inference(transitivity,[status(thm)],[364, 310, 357, 306])).
% 1.36/1.12  tff(366,plain,
% 1.36/1.12      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))) = pack1(inv(pack1(elem!0)))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[365])).
% 1.36/1.12  tff(367,plain,
% 1.36/1.12      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))) = pack1(pack1(inv(pack1(elem!0))))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[366])).
% 1.36/1.12  tff(368,plain,
% 1.36/1.12      (pack1(pack1(inv(pack1(elem!0)))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))),
% 1.36/1.12      inference(symmetry,[status(thm)],[367])).
% 1.36/1.12  tff(369,plain,
% 1.36/1.12      (i = pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))),
% 1.36/1.12      inference(symmetry,[status(thm)],[357])).
% 1.36/1.12  tff(370,plain,
% 1.36/1.12      (inv(pack1(elem!0)) = pack1(elem!0)),
% 1.36/1.12      inference(transitivity,[status(thm)],[305, 369, 311, 368, 319, 41, 297])).
% 1.36/1.12  tff(371,plain,
% 1.36/1.12      ($false),
% 1.36/1.12      inference(unit_resolution,[status(thm)],[25, 370])).
% 1.36/1.12  tff(372,plain,((~(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = i)) | (~(pack1(elem!0) = o)) | (~(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))) = o))), inference(lemma,lemma(discharge,[]))).
% 1.36/1.12  tff(373,plain,
% 1.36/1.12      (~(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = i)),
% 1.36/1.12      inference(unit_resolution,[status(thm)],[372, 41, 296])).
% 1.36/1.12  tff(374,plain,
% 1.36/1.12      (pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = o),
% 1.36/1.12      inference(unit_resolution,[status(thm)],[105, 373])).
% 1.36/1.12  tff(375,plain,
% 1.36/1.12      (pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = pack1(elem!0)),
% 1.36/1.12      inference(transitivity,[status(thm)],[374, 297])).
% 1.36/1.12  tff(376,plain,
% 1.36/1.12      (pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = pack1(pack1(elem!0))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[375])).
% 1.36/1.12  tff(377,plain,
% 1.36/1.12      (pack1(pack1(elem!0)) = pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))),
% 1.36/1.12      inference(symmetry,[status(thm)],[376])).
% 1.36/1.12  tff(378,plain,
% 1.36/1.12      (pack1(pack1(pack1(elem!0))) = pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[377])).
% 1.36/1.12  tff(379,plain,
% 1.36/1.12      (pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = pack1(pack1(pack1(elem!0)))),
% 1.36/1.12      inference(symmetry,[status(thm)],[378])).
% 1.36/1.12  tff(380,plain,
% 1.36/1.12      (pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = pack1(pack1(pack1(elem!0)))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[376])).
% 1.36/1.12  tff(381,plain,
% 1.36/1.12      (inv(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = inv(pack1(elem!0))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[375])).
% 1.36/1.12  tff(382,plain,
% 1.36/1.12      (inv(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = pack1(pack1(pack1(elem!0)))),
% 1.36/1.12      inference(transitivity,[status(thm)],[381, 305, 230, 380])).
% 1.36/1.12  tff(383,plain,
% 1.36/1.12      (unpack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))), inv(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = unpack1(inv(pack1(pack1(elem!0))), pack1(pack1(pack1(elem!0))))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[343, 382])).
% 1.36/1.12  tff(384,plain,
% 1.36/1.12      (inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))),
% 1.36/1.12      inference(transitivity,[status(thm)],[269, 383, 134, 300])).
% 1.36/1.12  tff(385,plain,
% 1.36/1.12      ($false),
% 1.36/1.12      inference(unit_resolution,[status(thm)],[166, 384])).
% 1.36/1.12  tff(386,plain,((~(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = i)) | (~(pack1(elem!0) = o)) | (~(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))) = o))), inference(lemma,lemma(discharge,[]))).
% 1.36/1.12  tff(387,plain,
% 1.36/1.12      (~(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = i)),
% 1.36/1.12      inference(unit_resolution,[status(thm)],[386, 41, 296])).
% 1.36/1.12  tff(388,plain,
% 1.36/1.12      (pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = o),
% 1.36/1.12      inference(unit_resolution,[status(thm)],[197, 387])).
% 1.36/1.12  tff(389,plain,
% 1.36/1.12      (o = pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))),
% 1.36/1.12      inference(symmetry,[status(thm)],[388])).
% 1.36/1.12  tff(390,plain,
% 1.36/1.12      (pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = pack1(pack1(pack1(elem!0)))),
% 1.36/1.12      inference(transitivity,[status(thm)],[374, 389, 379])).
% 1.36/1.12  tff(391,plain,
% 1.36/1.12      (unpack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))), pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = unpack1(inv(pack1(pack1(elem!0))), pack1(pack1(pack1(elem!0))))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[343, 390])).
% 1.36/1.12  tff(392,plain,
% 1.36/1.12      (inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))),
% 1.36/1.12      inference(transitivity,[status(thm)],[150, 391, 134, 300])).
% 1.36/1.12  tff(393,plain,
% 1.36/1.12      ($false),
% 1.36/1.12      inference(unit_resolution,[status(thm)],[166, 392])).
% 1.36/1.12  tff(394,plain,((~(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))) = o)) | (~(pack1(elem!0) = o))), inference(lemma,lemma(discharge,[]))).
% 1.36/1.12  tff(395,plain,
% 1.36/1.12      (~(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))) = o)),
% 1.36/1.12      inference(unit_resolution,[status(thm)],[394, 288])).
% 1.36/1.12  tff(396,plain,
% 1.36/1.12      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))) = i),
% 1.36/1.12      inference(unit_resolution,[status(thm)],[128, 395])).
% 1.36/1.12  tff(397,plain,
% 1.36/1.12      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))) = inv(pack1(elem!0))),
% 1.36/1.12      inference(transitivity,[status(thm)],[396, 295])).
% 1.36/1.12  tff(398,plain,
% 1.36/1.12      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))) = pack1(inv(pack1(elem!0)))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[397])).
% 1.36/1.12  tff(399,plain,
% 1.36/1.12      (pack1(inv(pack1(elem!0))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))),
% 1.36/1.12      inference(symmetry,[status(thm)],[398])).
% 1.36/1.12  tff(400,plain,
% 1.36/1.12      ((~![X1: $i] : (unpack1(inv(X1), pack1(X1)) = X1)) | (unpack1(inv(pack1(elem!0)), pack1(pack1(elem!0))) = pack1(elem!0))),
% 1.36/1.12      inference(quant_inst,[status(thm)],[])).
% 1.36/1.12  tff(401,plain,
% 1.36/1.12      (unpack1(inv(pack1(elem!0)), pack1(pack1(elem!0))) = pack1(elem!0)),
% 1.36/1.12      inference(unit_resolution,[status(thm)],[400, 7])).
% 1.36/1.12  tff(402,plain,
% 1.36/1.12      (inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))) = inv(pack1(inv(pack1(elem!0))))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[398])).
% 1.36/1.12  tff(403,plain,
% 1.36/1.12      (inv(pack1(inv(pack1(elem!0)))) = inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))),
% 1.36/1.12      inference(symmetry,[status(thm)],[402])).
% 1.36/1.12  tff(404,plain,
% 1.36/1.12      (o = pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))),
% 1.36/1.12      inference(symmetry,[status(thm)],[181])).
% 1.36/1.12  tff(405,plain,
% 1.36/1.12      (pack1(elem!0) = pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))),
% 1.36/1.12      inference(transitivity,[status(thm)],[288, 404])).
% 1.36/1.12  tff(406,plain,
% 1.36/1.12      (inv(elem!0) = inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))),
% 1.36/1.12      inference(transitivity,[status(thm)],[50, 179, 403])).
% 1.36/1.12  tff(407,plain,
% 1.36/1.12      (unpack1(inv(elem!0), pack1(elem!0)) = unpack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))), pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[406, 405])).
% 1.36/1.12  tff(408,plain,
% 1.36/1.12      (unpack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))), pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = unpack1(inv(elem!0), pack1(elem!0))),
% 1.36/1.12      inference(symmetry,[status(thm)],[407])).
% 1.36/1.12  tff(409,plain,
% 1.36/1.12      (inv(elem!0) = elem!0),
% 1.36/1.12      inference(transitivity,[status(thm)],[50, 179, 403, 150, 408, 9])).
% 1.36/1.12  tff(410,plain,
% 1.36/1.12      ($false),
% 1.36/1.12      inference(unit_resolution,[status(thm)],[79, 409])).
% 1.36/1.12  tff(411,plain,((~(inv(pack1(inv(pack1(elem!0)))) = o)) | (~(inv(elem!0) = o)) | (~(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = o))), inference(lemma,lemma(discharge,[]))).
% 1.36/1.12  tff(412,plain,
% 1.36/1.12      (~(inv(pack1(inv(pack1(elem!0)))) = o)),
% 1.36/1.12      inference(unit_resolution,[status(thm)],[411, 181, 50])).
% 1.36/1.12  tff(413,plain,
% 1.36/1.12      (inv(pack1(inv(pack1(elem!0)))) = i),
% 1.36/1.12      inference(unit_resolution,[status(thm)],[86, 412])).
% 1.36/1.12  tff(414,plain,
% 1.36/1.12      (i = inv(pack1(inv(pack1(elem!0))))),
% 1.36/1.12      inference(symmetry,[status(thm)],[413])).
% 1.36/1.12  tff(415,plain,
% 1.36/1.12      (~(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))) = o)),
% 1.36/1.12      inference(unit_resolution,[status(thm)],[394, 296])).
% 1.36/1.12  tff(416,plain,
% 1.36/1.12      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))) = i),
% 1.36/1.12      inference(unit_resolution,[status(thm)],[128, 415])).
% 1.36/1.12  tff(417,plain,
% 1.36/1.12      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))) = inv(pack1(elem!0))),
% 1.36/1.12      inference(transitivity,[status(thm)],[416, 306])).
% 1.36/1.12  tff(418,plain,
% 1.36/1.12      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))) = pack1(inv(pack1(elem!0)))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[417])).
% 1.36/1.12  tff(419,plain,
% 1.36/1.12      (pack1(inv(pack1(elem!0))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))),
% 1.36/1.12      inference(symmetry,[status(thm)],[418])).
% 1.36/1.12  tff(420,plain,
% 1.36/1.12      (pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = pack1(elem!0)),
% 1.36/1.12      inference(transitivity,[status(thm)],[181, 297])).
% 1.36/1.12  tff(421,plain,
% 1.36/1.12      (pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = pack1(pack1(elem!0))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[420])).
% 1.36/1.12  tff(422,plain,
% 1.36/1.12      (pack1(pack1(elem!0)) = pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))),
% 1.36/1.12      inference(symmetry,[status(thm)],[421])).
% 1.36/1.12  tff(423,plain,
% 1.36/1.12      (pack1(pack1(pack1(elem!0))) = pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[422])).
% 1.36/1.12  tff(424,plain,
% 1.36/1.12      (pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = pack1(pack1(pack1(elem!0)))),
% 1.36/1.12      inference(symmetry,[status(thm)],[423])).
% 1.36/1.12  tff(425,plain,
% 1.36/1.12      (pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))) = pack1(pack1(pack1(pack1(elem!0))))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[424])).
% 1.36/1.12  tff(426,plain,
% 1.36/1.12      (pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))) = pack1(pack1(pack1(pack1(pack1(elem!0)))))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[425])).
% 1.36/1.12  tff(427,plain,
% 1.36/1.12      (pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(elem!0))))))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[426])).
% 1.36/1.12  tff(428,plain,
% 1.36/1.12      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0)))))))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[427])).
% 1.36/1.12  tff(429,plain,
% 1.36/1.12      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0))))))))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[428])).
% 1.36/1.12  tff(430,plain,
% 1.36/1.12      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0)))))))))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[429])).
% 1.36/1.12  tff(431,plain,
% 1.36/1.12      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))),
% 1.36/1.12      inference(symmetry,[status(thm)],[430])).
% 1.36/1.12  tff(432,plain,
% 1.36/1.12      (pack1(pack1(pack1(elem!0))) = inv(pack1(elem!0))),
% 1.36/1.12      inference(transitivity,[status(thm)],[423, 229, 306])).
% 1.36/1.12  tff(433,plain,
% 1.36/1.12      (pack1(pack1(pack1(pack1(elem!0)))) = pack1(inv(pack1(elem!0)))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[432])).
% 1.36/1.12  tff(434,plain,
% 1.36/1.12      (pack1(inv(pack1(elem!0))) = pack1(pack1(pack1(pack1(elem!0))))),
% 1.36/1.12      inference(symmetry,[status(thm)],[433])).
% 1.36/1.12  tff(435,plain,
% 1.36/1.12      (inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))) = inv(pack1(inv(pack1(elem!0))))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[418])).
% 1.36/1.12  tff(436,plain,
% 1.36/1.12      (inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))) = inv(pack1(elem!0))),
% 1.36/1.12      inference(transitivity,[status(thm)],[435, 48, 306])).
% 1.36/1.12  tff(437,plain,
% 1.36/1.12      (pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = pack1(inv(pack1(elem!0)))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[436])).
% 1.36/1.12  tff(438,plain,
% 1.36/1.12      (pack1(elem!0) = pack1(pack1(pack1(pack1(elem!0))))),
% 1.36/1.12      inference(transitivity,[status(thm)],[296, 404, 437, 434])).
% 1.36/1.12  tff(439,plain,
% 1.36/1.12      (pack1(pack1(elem!0)) = pack1(pack1(pack1(pack1(pack1(elem!0)))))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[438])).
% 1.36/1.12  tff(440,plain,
% 1.36/1.12      (pack1(pack1(pack1(pack1(pack1(elem!0))))) = pack1(pack1(elem!0))),
% 1.36/1.12      inference(symmetry,[status(thm)],[439])).
% 1.36/1.12  tff(441,plain,
% 1.36/1.12      (pack1(pack1(pack1(pack1(pack1(pack1(elem!0)))))) = pack1(pack1(pack1(elem!0)))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[440])).
% 1.36/1.12  tff(442,plain,
% 1.36/1.12      (pack1(pack1(pack1(pack1(pack1(pack1(elem!0)))))) = inv(pack1(elem!0))),
% 1.36/1.12      inference(transitivity,[status(thm)],[441, 423, 229, 306])).
% 1.36/1.12  tff(443,plain,
% 1.36/1.12      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0))))))) = pack1(inv(pack1(elem!0)))),
% 1.36/1.12      inference(monotonicity,[status(thm)],[442])).
% 1.36/1.12  tff(444,plain,
% 1.36/1.13      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0))))))) = pack1(pack1(pack1(pack1(elem!0))))),
% 1.36/1.13      inference(transitivity,[status(thm)],[443, 434])).
% 1.36/1.13  tff(445,plain,
% 1.36/1.13      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0)))))))) = pack1(pack1(pack1(pack1(pack1(elem!0)))))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[444])).
% 1.36/1.13  tff(446,plain,
% 1.36/1.13      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(elem!0))))))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[445])).
% 1.36/1.13  tff(447,plain,
% 1.36/1.13      (pack1(pack1(pack1(pack1(pack1(pack1(elem!0)))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0)))))))))),
% 1.36/1.13      inference(symmetry,[status(thm)],[446])).
% 1.36/1.13  tff(448,plain,
% 1.36/1.13      (pack1(pack1(pack1(elem!0))) = pack1(pack1(pack1(pack1(pack1(pack1(elem!0))))))),
% 1.36/1.13      inference(symmetry,[status(thm)],[441])).
% 1.36/1.13  tff(449,plain,
% 1.36/1.13      (inv(pack1(elem!0)) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))),
% 1.36/1.13      inference(transitivity,[status(thm)],[305, 230, 424, 448, 447, 431])).
% 1.36/1.13  tff(450,plain,
% 1.36/1.13      (pack1(inv(pack1(elem!0))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[449])).
% 1.36/1.13  tff(451,plain,
% 1.36/1.13      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))) = pack1(inv(pack1(elem!0)))),
% 1.36/1.13      inference(symmetry,[status(thm)],[450])).
% 1.36/1.13  tff(452,plain,
% 1.36/1.13      ((~![X1: $i] : (unpack1(inv(X1), pack1(X1)) = X1)) | (unpack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))), pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))))),
% 1.36/1.13      inference(quant_inst,[status(thm)],[])).
% 1.36/1.13  tff(453,plain,
% 1.36/1.13      (unpack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))), pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))),
% 1.36/1.13      inference(unit_resolution,[status(thm)],[452, 7])).
% 1.36/1.13  tff(454,plain,
% 1.36/1.13      (inv(pack1(inv(pack1(elem!0)))) = inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))),
% 1.36/1.13      inference(symmetry,[status(thm)],[435])).
% 1.36/1.13  tff(455,plain,
% 1.36/1.13      (pack1(pack1(inv(pack1(elem!0)))) = pack1(pack1(pack1(pack1(pack1(elem!0)))))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[434])).
% 1.36/1.13  tff(456,plain,
% 1.36/1.13      (pack1(pack1(pack1(inv(pack1(elem!0))))) = pack1(pack1(pack1(pack1(pack1(pack1(elem!0))))))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[455])).
% 1.36/1.13  tff(457,plain,
% 1.36/1.13      (pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0)))))))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[456])).
% 1.36/1.13  tff(458,plain,
% 1.36/1.13      (pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0))))))))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[457])).
% 1.36/1.13  tff(459,plain,
% 1.36/1.13      (pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0)))))))))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[458])).
% 1.36/1.13  tff(460,plain,
% 1.36/1.13      (pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))),
% 1.36/1.13      inference(transitivity,[status(thm)],[459, 431])).
% 1.36/1.13  tff(461,plain,
% 1.36/1.13      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[460])).
% 1.36/1.13  tff(462,plain,
% 1.36/1.13      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))),
% 1.36/1.13      inference(symmetry,[status(thm)],[461])).
% 1.36/1.13  tff(463,plain,
% 1.36/1.13      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[462])).
% 1.36/1.13  tff(464,plain,
% 1.36/1.13      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))) = inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))),
% 1.36/1.13      inference(transitivity,[status(thm)],[463, 416, 49, 454])).
% 1.36/1.13  tff(465,plain,
% 1.36/1.13      (i = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))),
% 1.36/1.13      inference(symmetry,[status(thm)],[416])).
% 1.36/1.13  tff(466,plain,
% 1.36/1.13      (inv(pack1(pack1(pack1(pack1(elem!0))))) = inv(pack1(inv(pack1(elem!0))))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[433])).
% 1.36/1.13  tff(467,plain,
% 1.36/1.13      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))) = pack1(pack1(pack1(pack1(elem!0))))),
% 1.36/1.13      inference(transitivity,[status(thm)],[451, 434])).
% 1.36/1.13  tff(468,plain,
% 1.36/1.13      (inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))) = inv(pack1(pack1(pack1(pack1(elem!0)))))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[467])).
% 1.36/1.13  tff(469,plain,
% 1.36/1.13      (inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))),
% 1.36/1.13      inference(transitivity,[status(thm)],[468, 466, 48, 465])).
% 1.36/1.13  tff(470,plain,
% 1.36/1.13      (unpack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))), pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))))) = unpack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))), inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[469, 464])).
% 1.36/1.13  tff(471,plain,
% 1.36/1.13      (unpack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))), inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = unpack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))), pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))))),
% 1.36/1.13      inference(symmetry,[status(thm)],[470])).
% 1.36/1.13  tff(472,plain,
% 1.36/1.13      ((~![X1: $i] : (unpack1(X1, inv(pack1(X1))) = X1)) | (unpack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))), inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))),
% 1.36/1.13      inference(quant_inst,[status(thm)],[])).
% 1.36/1.13  tff(473,plain,
% 1.36/1.13      (unpack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))), inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))),
% 1.36/1.13      inference(unit_resolution,[status(thm)],[472, 73])).
% 1.36/1.13  tff(474,plain,
% 1.36/1.13      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))) = unpack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))), inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))),
% 1.36/1.13      inference(symmetry,[status(thm)],[473])).
% 1.36/1.13  tff(475,plain,
% 1.36/1.13      (inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))),
% 1.36/1.13      inference(transitivity,[status(thm)],[435, 48, 465, 474, 471, 453, 451, 419])).
% 1.36/1.13  tff(476,plain,
% 1.36/1.13      ($false),
% 1.36/1.13      inference(unit_resolution,[status(thm)],[166, 475])).
% 1.36/1.13  tff(477,plain,((~(inv(pack1(inv(pack1(elem!0)))) = i)) | (~(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = i)) | (~(pack1(elem!0) = o)) | (~(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = o))), inference(lemma,lemma(discharge,[]))).
% 1.36/1.13  tff(478,plain,
% 1.36/1.13      (~(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = i)),
% 1.36/1.13      inference(unit_resolution,[status(thm)],[477, 413, 288, 181])).
% 1.36/1.13  tff(479,plain,
% 1.36/1.13      (pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = o),
% 1.36/1.13      inference(unit_resolution,[status(thm)],[197, 478])).
% 1.36/1.13  tff(480,plain,
% 1.36/1.13      (pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = pack1(elem!0)),
% 1.36/1.13      inference(transitivity,[status(thm)],[181, 289])).
% 1.36/1.13  tff(481,plain,
% 1.36/1.13      (pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = pack1(pack1(elem!0))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[480])).
% 1.36/1.13  tff(482,plain,
% 1.36/1.13      (pack1(pack1(elem!0)) = pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))),
% 1.36/1.13      inference(symmetry,[status(thm)],[481])).
% 1.36/1.13  tff(483,plain,
% 1.36/1.13      (pack1(pack1(pack1(elem!0))) = pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[482])).
% 1.36/1.13  tff(484,plain,
% 1.36/1.13      (inv(pack1(elem!0)) = inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))),
% 1.36/1.13      inference(transitivity,[status(thm)],[294, 414, 403])).
% 1.36/1.13  tff(485,plain,
% 1.36/1.13      (pack1(inv(pack1(elem!0))) = pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[484])).
% 1.36/1.13  tff(486,plain,
% 1.36/1.13      (pack1(inv(pack1(elem!0))) = pack1(elem!0)),
% 1.36/1.13      inference(transitivity,[status(thm)],[485, 181, 289])).
% 1.36/1.13  tff(487,plain,
% 1.36/1.13      (pack1(pack1(inv(pack1(elem!0)))) = pack1(pack1(elem!0))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[486])).
% 1.36/1.13  tff(488,plain,
% 1.36/1.13      (pack1(pack1(pack1(inv(pack1(elem!0))))) = pack1(pack1(pack1(elem!0)))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[487])).
% 1.36/1.13  tff(489,plain,
% 1.36/1.13      (pack1(pack1(pack1(inv(pack1(elem!0))))) = pack1(elem!0)),
% 1.36/1.13      inference(transitivity,[status(thm)],[488, 483, 479, 289])).
% 1.36/1.13  tff(490,plain,
% 1.36/1.13      (pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))) = pack1(pack1(elem!0))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[489])).
% 1.36/1.13  tff(491,plain,
% 1.36/1.13      (pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))) = pack1(pack1(pack1(elem!0)))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[490])).
% 1.36/1.13  tff(492,plain,
% 1.36/1.13      (pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))) = pack1(elem!0)),
% 1.36/1.13      inference(transitivity,[status(thm)],[491, 483, 479, 289])).
% 1.36/1.13  tff(493,plain,
% 1.36/1.13      (pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))) = pack1(pack1(elem!0))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[492])).
% 1.36/1.13  tff(494,plain,
% 1.36/1.13      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))) = pack1(pack1(pack1(elem!0)))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[493])).
% 1.36/1.13  tff(495,plain,
% 1.36/1.13      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))) = pack1(elem!0)),
% 1.36/1.13      inference(transitivity,[status(thm)],[494, 483, 479, 289])).
% 1.36/1.13  tff(496,plain,
% 1.36/1.13      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))) = pack1(pack1(elem!0))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[495])).
% 1.36/1.13  tff(497,plain,
% 1.36/1.13      (pack1(pack1(elem!0)) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))),
% 1.36/1.13      inference(symmetry,[status(thm)],[496])).
% 1.36/1.13  tff(498,plain,
% 1.36/1.13      (pack1(pack1(elem!0)) = inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))),
% 1.36/1.13      inference(transitivity,[status(thm)],[497, 396, 414, 403])).
% 1.36/1.13  tff(499,plain,
% 1.36/1.13      (i = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))),
% 1.36/1.13      inference(symmetry,[status(thm)],[396])).
% 1.36/1.13  tff(500,plain,
% 1.36/1.13      (inv(pack1(elem!0)) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))),
% 1.36/1.13      inference(transitivity,[status(thm)],[294, 499])).
% 1.36/1.13  tff(501,plain,
% 1.36/1.13      (unpack1(inv(pack1(elem!0)), pack1(pack1(elem!0))) = unpack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))), inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[500, 498])).
% 1.36/1.13  tff(502,plain,
% 1.36/1.13      (unpack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))), inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = unpack1(inv(pack1(elem!0)), pack1(pack1(elem!0)))),
% 1.36/1.13      inference(symmetry,[status(thm)],[501])).
% 1.36/1.13  tff(503,plain,
% 1.36/1.13      (inv(pack1(elem!0)) = pack1(elem!0)),
% 1.36/1.13      inference(transitivity,[status(thm)],[294, 499, 474, 502, 401])).
% 1.36/1.13  tff(504,plain,
% 1.36/1.13      ($false),
% 1.36/1.13      inference(unit_resolution,[status(thm)],[25, 503])).
% 1.36/1.13  tff(505,plain,((~(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = o)) | (~(inv(elem!0) = o))), inference(lemma,lemma(discharge,[]))).
% 1.36/1.13  tff(506,plain,
% 1.36/1.13      (~(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = o)),
% 1.36/1.13      inference(unit_resolution,[status(thm)],[505, 50])).
% 1.36/1.13  tff(507,plain,
% 1.36/1.13      (pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = i),
% 1.36/1.13      inference(unit_resolution,[status(thm)],[105, 506])).
% 1.36/1.13  tff(508,plain,
% 1.36/1.13      (pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = inv(pack1(elem!0))),
% 1.36/1.13      inference(transitivity,[status(thm)],[507, 295])).
% 1.36/1.13  tff(509,plain,
% 1.36/1.13      (pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = pack1(inv(pack1(elem!0)))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[508])).
% 1.36/1.13  tff(510,plain,
% 1.36/1.13      (pack1(inv(pack1(elem!0))) = pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))),
% 1.36/1.13      inference(symmetry,[status(thm)],[509])).
% 1.36/1.13  tff(511,plain,
% 1.36/1.13      (pack1(pack1(inv(pack1(elem!0)))) = pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[510])).
% 1.36/1.13  tff(512,plain,
% 1.36/1.13      (pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = pack1(pack1(inv(pack1(elem!0))))),
% 1.36/1.13      inference(symmetry,[status(thm)],[511])).
% 1.36/1.13  tff(513,assumption,(inv(pack1(elem!0)) = i), introduced(assumption)).
% 1.36/1.13  tff(514,plain,
% 1.36/1.13      (i = inv(pack1(elem!0))),
% 1.36/1.13      inference(symmetry,[status(thm)],[513])).
% 1.36/1.13  tff(515,plain,
% 1.36/1.13      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))) = inv(pack1(elem!0))),
% 1.36/1.13      inference(transitivity,[status(thm)],[220, 514])).
% 1.36/1.13  tff(516,plain,
% 1.36/1.13      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))) = pack1(inv(pack1(elem!0)))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[515])).
% 1.36/1.13  tff(517,plain,
% 1.36/1.13      (pack1(inv(pack1(elem!0))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))),
% 1.36/1.13      inference(symmetry,[status(thm)],[516])).
% 1.36/1.13  tff(518,plain,
% 1.36/1.13      (pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = inv(pack1(elem!0))),
% 1.36/1.13      inference(transitivity,[status(thm)],[40, 514])).
% 1.36/1.13  tff(519,plain,
% 1.36/1.13      (pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = pack1(inv(pack1(elem!0)))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[518])).
% 1.36/1.13  tff(520,plain,
% 1.36/1.13      (pack1(inv(pack1(elem!0))) = pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))),
% 1.36/1.13      inference(symmetry,[status(thm)],[519])).
% 1.36/1.13  tff(521,plain,
% 1.36/1.13      (pack1(pack1(inv(pack1(elem!0)))) = pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[520])).
% 1.36/1.13  tff(522,plain,
% 1.36/1.13      (pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = pack1(pack1(inv(pack1(elem!0))))),
% 1.36/1.13      inference(symmetry,[status(thm)],[521])).
% 1.36/1.13  tff(523,plain,
% 1.36/1.13      (inv(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = pack1(pack1(inv(pack1(elem!0))))),
% 1.36/1.13      inference(transitivity,[status(thm)],[340, 320, 522])).
% 1.36/1.13  tff(524,plain,
% 1.36/1.13      (inv(pack1(inv(pack1(elem!0)))) = inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[517])).
% 1.36/1.13  tff(525,plain,
% 1.36/1.13      (inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))) = inv(pack1(inv(pack1(elem!0))))),
% 1.36/1.13      inference(symmetry,[status(thm)],[524])).
% 1.36/1.13  tff(526,plain,
% 1.36/1.13      (unpack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))), inv(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = unpack1(inv(pack1(inv(pack1(elem!0)))), pack1(pack1(inv(pack1(elem!0)))))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[525, 523])).
% 1.36/1.13  tff(527,plain,
% 1.36/1.13      (inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))),
% 1.36/1.13      inference(transitivity,[status(thm)],[269, 526, 177, 517])).
% 1.36/1.13  tff(528,plain,
% 1.36/1.13      ($false),
% 1.36/1.13      inference(unit_resolution,[status(thm)],[166, 527])).
% 1.36/1.13  tff(529,plain,((~(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = o)) | (~(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = i)) | (~(inv(pack1(elem!0)) = i)) | (~(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))) = i))), inference(lemma,lemma(discharge,[]))).
% 1.36/1.13  tff(530,plain,
% 1.36/1.13      (~(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = o)),
% 1.36/1.13      inference(unit_resolution,[status(thm)],[529, 507, 294, 396])).
% 1.36/1.13  tff(531,plain,
% 1.36/1.13      (pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = i),
% 1.36/1.13      inference(unit_resolution,[status(thm)],[197, 530])).
% 1.36/1.13  tff(532,plain,
% 1.36/1.13      (i = pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))),
% 1.36/1.13      inference(symmetry,[status(thm)],[531])).
% 1.36/1.13  tff(533,plain,
% 1.36/1.13      (pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = pack1(pack1(inv(pack1(elem!0))))),
% 1.36/1.13      inference(transitivity,[status(thm)],[507, 532, 512])).
% 1.36/1.13  tff(534,plain,
% 1.36/1.13      (inv(pack1(inv(pack1(elem!0)))) = inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[399])).
% 1.36/1.13  tff(535,plain,
% 1.36/1.13      (inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))) = inv(pack1(inv(pack1(elem!0))))),
% 1.36/1.13      inference(symmetry,[status(thm)],[534])).
% 1.36/1.13  tff(536,plain,
% 1.36/1.13      (unpack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))), pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = unpack1(inv(pack1(inv(pack1(elem!0)))), pack1(pack1(inv(pack1(elem!0)))))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[535, 533])).
% 1.36/1.13  tff(537,plain,
% 1.36/1.13      (inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))),
% 1.36/1.13      inference(transitivity,[status(thm)],[150, 536, 177, 399])).
% 1.36/1.13  tff(538,plain,
% 1.36/1.13      ($false),
% 1.36/1.13      inference(unit_resolution,[status(thm)],[166, 537])).
% 1.36/1.13  tff(539,plain,(~(inv(elem!0) = o)), inference(lemma,lemma(discharge,[]))).
% 1.36/1.13  tff(540,plain,
% 1.36/1.13      (((~![X: $i] : ((X = i) | (X = o))) | ((inv(elem!0) = i) | (inv(elem!0) = o))) <=> ((~![X: $i] : ((X = i) | (X = o))) | (inv(elem!0) = i) | (inv(elem!0) = o))),
% 1.36/1.13      inference(rewrite,[status(thm)],[])).
% 1.36/1.13  tff(541,plain,
% 1.36/1.13      ((~![X: $i] : ((X = i) | (X = o))) | ((inv(elem!0) = i) | (inv(elem!0) = o))),
% 1.36/1.13      inference(quant_inst,[status(thm)],[])).
% 1.36/1.13  tff(542,plain,
% 1.36/1.13      ((~![X: $i] : ((X = i) | (X = o))) | (inv(elem!0) = i) | (inv(elem!0) = o)),
% 1.36/1.13      inference(modus_ponens,[status(thm)],[541, 540])).
% 1.36/1.13  tff(543,plain,
% 1.36/1.13      ((inv(elem!0) = i) | (inv(elem!0) = o)),
% 1.36/1.13      inference(unit_resolution,[status(thm)],[542, 33])).
% 1.36/1.13  tff(544,plain,
% 1.36/1.13      (inv(elem!0) = i),
% 1.36/1.13      inference(unit_resolution,[status(thm)],[543, 539])).
% 1.36/1.13  tff(545,plain,
% 1.36/1.13      (inv(elem!0) = inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))),
% 1.36/1.13      inference(transitivity,[status(thm)],[544, 49, 47])).
% 1.36/1.13  tff(546,plain,
% 1.36/1.13      (unpack1(inv(elem!0), pack1(elem!0)) = unpack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))), pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[545, 43])).
% 1.36/1.13  tff(547,plain,
% 1.36/1.13      (unpack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))), pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = unpack1(inv(elem!0), pack1(elem!0))),
% 1.36/1.13      inference(symmetry,[status(thm)],[546])).
% 1.36/1.13  tff(548,plain,
% 1.36/1.13      (inv(elem!0) = elem!0),
% 1.36/1.13      inference(transitivity,[status(thm)],[544, 49, 47, 150, 547, 9])).
% 1.36/1.13  tff(549,plain,
% 1.36/1.13      ($false),
% 1.36/1.13      inference(unit_resolution,[status(thm)],[79, 548])).
% 1.36/1.13  tff(550,plain,((~(inv(pack1(inv(pack1(elem!0)))) = i)) | (~(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))) = o)) | (~(inv(pack1(elem!0)) = o)) | (~(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = i))), inference(lemma,lemma(discharge,[]))).
% 1.36/1.13  tff(551,plain,
% 1.36/1.13      (~(inv(pack1(inv(pack1(elem!0)))) = i)),
% 1.36/1.13      inference(unit_resolution,[status(thm)],[550, 41, 10, 40])).
% 1.36/1.13  tff(552,plain,
% 1.36/1.13      (inv(pack1(inv(pack1(elem!0)))) = o),
% 1.36/1.13      inference(unit_resolution,[status(thm)],[86, 551])).
% 1.36/1.13  tff(553,plain,
% 1.36/1.13      (inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))) = inv(pack1(elem!0))),
% 1.36/1.13      inference(transitivity,[status(thm)],[46, 552, 12])).
% 1.36/1.13  tff(554,plain,
% 1.36/1.13      (pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = pack1(inv(pack1(elem!0)))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[553])).
% 1.36/1.13  tff(555,plain,
% 1.36/1.13      (pack1(inv(pack1(elem!0))) = pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))),
% 1.36/1.13      inference(symmetry,[status(thm)],[554])).
% 1.36/1.13  tff(556,plain,
% 1.36/1.13      (o = inv(pack1(inv(pack1(elem!0))))),
% 1.36/1.13      inference(symmetry,[status(thm)],[552])).
% 1.36/1.13  tff(557,plain,
% 1.36/1.13      (inv(pack1(elem!0)) = inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))),
% 1.36/1.13      inference(transitivity,[status(thm)],[10, 556, 47])).
% 1.36/1.13  tff(558,plain,
% 1.36/1.13      (pack1(inv(pack1(elem!0))) = pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[557])).
% 1.36/1.13  tff(559,plain,
% 1.36/1.13      (pack1(inv(pack1(elem!0))) = pack1(elem!0)),
% 1.36/1.13      inference(transitivity,[status(thm)],[558, 40, 39])).
% 1.36/1.13  tff(560,plain,
% 1.36/1.13      (pack1(pack1(inv(pack1(elem!0)))) = pack1(pack1(elem!0))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[559])).
% 1.36/1.13  tff(561,plain,
% 1.36/1.13      (pack1(pack1(pack1(inv(pack1(elem!0))))) = pack1(pack1(pack1(elem!0)))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[560])).
% 1.36/1.13  tff(562,plain,
% 1.36/1.13      (pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))) = pack1(pack1(pack1(pack1(elem!0))))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[561])).
% 1.36/1.13  tff(563,plain,
% 1.36/1.13      (pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))) = pack1(pack1(pack1(pack1(pack1(elem!0)))))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[562])).
% 1.36/1.13  tff(564,plain,
% 1.36/1.13      (pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))) = pack1(pack1(pack1(pack1(pack1(pack1(elem!0))))))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[563])).
% 1.36/1.13  tff(565,plain,
% 1.36/1.13      (pack1(pack1(pack1(pack1(pack1(pack1(elem!0)))))) = pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))),
% 1.36/1.13      inference(symmetry,[status(thm)],[564])).
% 1.36/1.13  tff(566,plain,
% 1.36/1.13      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[565])).
% 1.36/1.13  tff(567,plain,
% 1.36/1.13      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0)))))))),
% 1.36/1.13      inference(symmetry,[status(thm)],[566])).
% 1.36/1.13  tff(568,plain,
% 1.36/1.13      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0))))))))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[567])).
% 1.36/1.13  tff(569,plain,
% 1.36/1.13      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0)))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))),
% 1.36/1.13      inference(symmetry,[status(thm)],[568])).
% 1.36/1.13  tff(570,plain,
% 1.36/1.13      (pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = pack1(elem!0)),
% 1.36/1.13      inference(transitivity,[status(thm)],[40, 39])).
% 1.36/1.13  tff(571,plain,
% 1.36/1.13      (pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = pack1(pack1(elem!0))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[570])).
% 1.36/1.13  tff(572,plain,
% 1.36/1.13      (pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = pack1(pack1(pack1(elem!0)))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[571])).
% 1.36/1.13  tff(573,plain,
% 1.36/1.13      (pack1(pack1(pack1(elem!0))) = pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))),
% 1.36/1.13      inference(symmetry,[status(thm)],[572])).
% 1.36/1.13  tff(574,plain,
% 1.36/1.13      (pack1(pack1(pack1(elem!0))) = pack1(elem!0)),
% 1.36/1.13      inference(transitivity,[status(thm)],[573, 229, 39])).
% 1.36/1.13  tff(575,plain,
% 1.36/1.13      (pack1(pack1(pack1(pack1(elem!0)))) = pack1(pack1(elem!0))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[574])).
% 1.36/1.13  tff(576,plain,
% 1.36/1.13      (pack1(pack1(pack1(pack1(pack1(elem!0))))) = pack1(pack1(pack1(elem!0)))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[575])).
% 1.36/1.13  tff(577,plain,
% 1.36/1.13      (pack1(pack1(pack1(pack1(pack1(elem!0))))) = pack1(elem!0)),
% 1.36/1.13      inference(transitivity,[status(thm)],[576, 573, 229, 39])).
% 1.36/1.13  tff(578,plain,
% 1.36/1.13      (pack1(pack1(pack1(pack1(pack1(pack1(elem!0)))))) = pack1(pack1(elem!0))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[577])).
% 1.36/1.13  tff(579,plain,
% 1.36/1.13      (pack1(pack1(elem!0)) = pack1(pack1(pack1(pack1(pack1(pack1(elem!0))))))),
% 1.36/1.13      inference(symmetry,[status(thm)],[578])).
% 1.36/1.13  tff(580,plain,
% 1.36/1.13      (pack1(pack1(pack1(elem!0))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0)))))))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[579])).
% 1.36/1.13  tff(581,plain,
% 1.36/1.13      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0))))))) = pack1(pack1(pack1(elem!0)))),
% 1.36/1.13      inference(symmetry,[status(thm)],[580])).
% 1.36/1.13  tff(582,plain,
% 1.36/1.13      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0))))))) = pack1(elem!0)),
% 1.36/1.13      inference(transitivity,[status(thm)],[581, 573, 229, 39])).
% 1.36/1.13  tff(583,plain,
% 1.36/1.13      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0)))))))) = pack1(pack1(elem!0))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[582])).
% 1.36/1.13  tff(584,plain,
% 1.36/1.13      (pack1(pack1(elem!0)) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0))))))))),
% 1.36/1.13      inference(symmetry,[status(thm)],[583])).
% 1.36/1.13  tff(585,plain,
% 1.36/1.13      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0)))))))) = inv(pack1(elem!0))),
% 1.36/1.13      inference(transitivity,[status(thm)],[569, 41, 12])).
% 1.36/1.13  tff(586,plain,
% 1.36/1.13      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0))))))))) = pack1(inv(pack1(elem!0)))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[585])).
% 1.36/1.13  tff(587,plain,
% 1.36/1.13      (pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))) = pack1(pack1(pack1(pack1(elem!0))))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[572])).
% 1.36/1.13  tff(588,plain,
% 1.36/1.13      (pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))) = pack1(pack1(pack1(pack1(pack1(elem!0)))))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[587])).
% 1.36/1.13  tff(589,plain,
% 1.36/1.13      (pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(elem!0))))))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[588])).
% 1.36/1.13  tff(590,plain,
% 1.36/1.13      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0)))))))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[589])).
% 1.36/1.13  tff(591,plain,
% 1.36/1.13      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0))))))))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[590])).
% 1.36/1.13  tff(592,plain,
% 1.36/1.13      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0)))))))))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[591])).
% 1.36/1.13  tff(593,plain,
% 1.36/1.13      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))) = pack1(elem!0)),
% 1.36/1.13      inference(transitivity,[status(thm)],[592, 586, 558, 40, 39])).
% 1.36/1.13  tff(594,plain,
% 1.36/1.13      (inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))) = inv(pack1(elem!0))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[593])).
% 1.36/1.13  tff(595,plain,
% 1.36/1.13      (pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))) = pack1(inv(pack1(elem!0)))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[594])).
% 1.36/1.13  tff(596,plain,
% 1.36/1.13      (pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))) = pack1(elem!0)),
% 1.36/1.13      inference(transitivity,[status(thm)],[595, 558, 40, 39])).
% 1.36/1.13  tff(597,plain,
% 1.36/1.13      (pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))))) = pack1(pack1(elem!0))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[596])).
% 1.36/1.13  tff(598,plain,
% 1.36/1.13      (pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))))) = pack1(pack1(pack1(elem!0)))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[597])).
% 1.36/1.13  tff(599,plain,
% 1.36/1.13      (pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))))))) = pack1(pack1(pack1(pack1(elem!0))))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[598])).
% 1.36/1.13  tff(600,plain,
% 1.36/1.13      (pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))))))) = inv(pack1(elem!0))),
% 1.36/1.13      inference(transitivity,[status(thm)],[599, 575, 584, 569, 41, 12])).
% 1.36/1.13  tff(601,plain,
% 1.36/1.13      ((pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))))))) = i) <=> (inv(pack1(elem!0)) = pack1(elem!0))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[600, 39])).
% 1.36/1.13  tff(602,plain,
% 1.36/1.13      ((inv(pack1(elem!0)) = pack1(elem!0)) <=> (pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))))))) = i)),
% 1.36/1.13      inference(symmetry,[status(thm)],[601])).
% 1.36/1.13  tff(603,plain,
% 1.36/1.13      ((~(inv(pack1(elem!0)) = pack1(elem!0))) <=> (~(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))))))) = i))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[602])).
% 1.36/1.13  tff(604,plain,
% 1.36/1.13      (~(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))))))) = i)),
% 1.36/1.13      inference(modus_ponens,[status(thm)],[25, 603])).
% 1.36/1.13  tff(605,plain,
% 1.36/1.13      ((~![X1: $i] : (unpack1(X1, inv(pack1(X1))) = X1)) | (unpack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))), inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))),
% 1.36/1.13      inference(quant_inst,[status(thm)],[])).
% 1.36/1.13  tff(606,plain,
% 1.36/1.13      (unpack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))), inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))),
% 1.36/1.13      inference(unit_resolution,[status(thm)],[605, 73])).
% 1.36/1.13  tff(607,plain,
% 1.36/1.13      (inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))) = o),
% 1.36/1.13      inference(transitivity,[status(thm)],[594, 10])).
% 1.36/1.13  tff(608,plain,
% 1.36/1.13      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))),
% 1.36/1.13      inference(symmetry,[status(thm)],[592])).
% 1.36/1.13  tff(609,plain,
% 1.36/1.13      (inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0)))))))))) = inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[608])).
% 1.36/1.13  tff(610,plain,
% 1.36/1.13      (inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))) = inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0))))))))))),
% 1.36/1.13      inference(symmetry,[status(thm)],[609])).
% 1.36/1.13  tff(611,plain,
% 1.36/1.13      (inv(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))) = inv(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0)))))))))))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[610])).
% 1.36/1.13  tff(612,plain,
% 1.36/1.13      ((inv(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))) = inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))) <=> (inv(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0))))))))))) = o)),
% 1.36/1.13      inference(monotonicity,[status(thm)],[611, 607])).
% 1.36/1.13  tff(613,plain,
% 1.36/1.13      ((~(inv(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))) = inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))))) <=> (~(inv(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0))))))))))) = o))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[612])).
% 1.36/1.13  tff(614,plain,
% 1.36/1.13      ((~![X: $i] : (~(inv(X) = X))) | (~(inv(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))) = inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))))),
% 1.36/1.13      inference(quant_inst,[status(thm)],[])).
% 1.36/1.13  tff(615,plain,
% 1.36/1.13      (~(inv(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))) = inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))))),
% 1.36/1.13      inference(unit_resolution,[status(thm)],[614, 23])).
% 1.36/1.13  tff(616,plain,
% 1.36/1.13      (~(inv(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0))))))))))) = o)),
% 1.36/1.13      inference(modus_ponens,[status(thm)],[615, 613])).
% 1.36/1.13  tff(617,plain,
% 1.36/1.13      (((~![X: $i] : ((X = i) | (X = o))) | ((inv(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0))))))))))) = i) | (inv(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0))))))))))) = o))) <=> ((~![X: $i] : ((X = i) | (X = o))) | (inv(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0))))))))))) = i) | (inv(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0))))))))))) = o))),
% 1.36/1.13      inference(rewrite,[status(thm)],[])).
% 1.36/1.13  tff(618,plain,
% 1.36/1.13      ((~![X: $i] : ((X = i) | (X = o))) | ((inv(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0))))))))))) = i) | (inv(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0))))))))))) = o))),
% 1.36/1.13      inference(quant_inst,[status(thm)],[])).
% 1.36/1.13  tff(619,plain,
% 1.36/1.13      ((~![X: $i] : ((X = i) | (X = o))) | (inv(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0))))))))))) = i) | (inv(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0))))))))))) = o)),
% 1.36/1.13      inference(modus_ponens,[status(thm)],[618, 617])).
% 1.36/1.13  tff(620,plain,
% 1.36/1.13      ((inv(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0))))))))))) = i) | (inv(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0))))))))))) = o)),
% 1.36/1.13      inference(unit_resolution,[status(thm)],[619, 33])).
% 1.36/1.13  tff(621,plain,
% 1.36/1.13      (inv(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0))))))))))) = i),
% 1.36/1.13      inference(unit_resolution,[status(thm)],[620, 616])).
% 1.36/1.13  tff(622,plain,
% 1.36/1.13      (inv(pack1(elem!0)) = inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))),
% 1.36/1.13      inference(symmetry,[status(thm)],[594])).
% 1.36/1.13  tff(623,plain,
% 1.36/1.13      (inv(inv(pack1(elem!0))) = inv(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[622])).
% 1.36/1.13  tff(624,plain,
% 1.36/1.13      (inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))) = inv(inv(pack1(elem!0)))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[44])).
% 1.36/1.13  tff(625,plain,
% 1.36/1.13      (inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))) = pack1(elem!0)),
% 1.36/1.13      inference(transitivity,[status(thm)],[624, 623, 611, 621, 39])).
% 1.36/1.13  tff(626,plain,
% 1.36/1.13      (i = inv(elem!0)),
% 1.36/1.13      inference(symmetry,[status(thm)],[544])).
% 1.36/1.13  tff(627,plain,
% 1.36/1.13      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))) = inv(elem!0)),
% 1.36/1.13      inference(transitivity,[status(thm)],[567, 581, 573, 229, 626])).
% 1.36/1.13  tff(628,plain,
% 1.36/1.13      (unpack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))), inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))) = unpack1(inv(elem!0), pack1(elem!0))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[627, 625])).
% 1.36/1.13  tff(629,plain,
% 1.36/1.13      (unpack1(inv(elem!0), pack1(elem!0)) = unpack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))), inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))),
% 1.36/1.13      inference(symmetry,[status(thm)],[628])).
% 1.36/1.13  tff(630,plain,
% 1.36/1.13      (inv(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = inv(inv(pack1(elem!0)))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[553])).
% 1.36/1.13  tff(631,plain,
% 1.36/1.13      (inv(inv(pack1(elem!0))) = inv(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))),
% 1.36/1.13      inference(symmetry,[status(thm)],[630])).
% 1.36/1.13  tff(632,plain,
% 1.36/1.13      (inv(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))) = inv(inv(pack1(elem!0)))),
% 1.36/1.13      inference(symmetry,[status(thm)],[623])).
% 1.36/1.13  tff(633,plain,
% 1.36/1.13      (inv(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0))))))))))) = inv(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))))),
% 1.36/1.13      inference(symmetry,[status(thm)],[611])).
% 1.36/1.13  tff(634,plain,
% 1.36/1.13      (i = inv(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0)))))))))))),
% 1.36/1.13      inference(symmetry,[status(thm)],[621])).
% 1.36/1.13  tff(635,plain,
% 1.36/1.13      (inv(elem!0) = inv(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))),
% 1.36/1.13      inference(transitivity,[status(thm)],[544, 634, 633, 632, 631])).
% 1.36/1.13  tff(636,plain,
% 1.36/1.13      (unpack1(inv(elem!0), pack1(elem!0)) = unpack1(inv(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))), pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))),
% 1.36/1.13      inference(monotonicity,[status(thm)],[635, 43])).
% 1.36/1.13  tff(637,plain,
% 1.36/1.13      (unpack1(inv(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))), pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = unpack1(inv(elem!0), pack1(elem!0))),
% 1.36/1.13      inference(symmetry,[status(thm)],[636])).
% 1.36/1.13  tff(638,plain,
% 1.36/1.13      ((~![X1: $i] : (unpack1(inv(X1), pack1(X1)) = X1)) | (unpack1(inv(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))), pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))),
% 1.36/1.13      inference(quant_inst,[status(thm)],[])).
% 1.36/1.13  tff(639,plain,
% 1.36/1.13      (unpack1(inv(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))), pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))),
% 1.36/1.13      inference(unit_resolution,[status(thm)],[638, 7])).
% 1.36/1.13  tff(640,plain,
% 1.36/1.13      (inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))) = unpack1(inv(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))), pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))),
% 1.36/1.13      inference(symmetry,[status(thm)],[639])).
% 1.36/1.13  tff(641,plain,
% 1.36/1.13      (pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))))))) = i),
% 1.36/1.13      inference(transitivity,[status(thm)],[599, 575, 584, 569, 41, 556, 47, 640, 637, 629, 606, 567, 581, 573, 229])).
% 1.36/1.13  tff(642,plain,
% 1.36/1.13      ($false),
% 1.36/1.13      inference(unit_resolution,[status(thm)],[641, 604])).
% 1.36/1.13  tff(643,plain,((~(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = i)) | (~(inv(pack1(elem!0)) = o)) | (~(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))) = o)) | (~(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = i))), inference(lemma,lemma(discharge,[]))).
% 1.36/1.13  tff(644,plain,
% 1.36/1.13      (~(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = i)),
% 1.36/1.14      inference(unit_resolution,[status(thm)],[643, 41, 10, 40])).
% 1.36/1.14  tff(645,plain,
% 1.36/1.14      (pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = o),
% 1.36/1.14      inference(unit_resolution,[status(thm)],[197, 644])).
% 1.36/1.14  tff(646,plain,
% 1.36/1.14      (pack1(pack1(elem!0)) = pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))),
% 1.36/1.14      inference(symmetry,[status(thm)],[571])).
% 1.36/1.14  tff(647,plain,
% 1.36/1.14      (pack1(pack1(pack1(elem!0))) = pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[646])).
% 1.36/1.14  tff(648,plain,
% 1.36/1.14      (pack1(pack1(pack1(elem!0))) = inv(pack1(elem!0))),
% 1.36/1.14      inference(transitivity,[status(thm)],[647, 645, 12])).
% 1.36/1.14  tff(649,plain,
% 1.36/1.14      (pack1(pack1(pack1(pack1(elem!0)))) = pack1(inv(pack1(elem!0)))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[648])).
% 1.36/1.14  tff(650,plain,
% 1.36/1.14      (pack1(pack1(pack1(pack1(elem!0)))) = pack1(elem!0)),
% 1.36/1.14      inference(transitivity,[status(thm)],[649, 555, 40, 39])).
% 1.36/1.14  tff(651,plain,
% 1.36/1.14      (pack1(pack1(pack1(pack1(pack1(elem!0))))) = pack1(pack1(elem!0))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[650])).
% 1.36/1.14  tff(652,plain,
% 1.36/1.14      (pack1(pack1(pack1(pack1(pack1(pack1(elem!0)))))) = pack1(pack1(pack1(elem!0)))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[651])).
% 1.36/1.14  tff(653,plain,
% 1.36/1.14      (pack1(pack1(pack1(elem!0))) = pack1(pack1(pack1(pack1(pack1(pack1(elem!0))))))),
% 1.36/1.14      inference(symmetry,[status(thm)],[652])).
% 1.36/1.14  tff(654,plain,
% 1.36/1.14      (pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = pack1(pack1(pack1(elem!0)))),
% 1.36/1.14      inference(symmetry,[status(thm)],[647])).
% 1.36/1.14  tff(655,plain,
% 1.36/1.14      (o = pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))),
% 1.36/1.14      inference(symmetry,[status(thm)],[645])).
% 1.36/1.14  tff(656,plain,
% 1.36/1.14      (inv(pack1(elem!0)) = pack1(pack1(pack1(pack1(pack1(pack1(elem!0))))))),
% 1.36/1.14      inference(transitivity,[status(thm)],[10, 655, 654, 653])).
% 1.36/1.14  tff(657,plain,
% 1.36/1.14      (pack1(inv(pack1(elem!0))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0)))))))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[656])).
% 1.36/1.14  tff(658,plain,
% 1.36/1.14      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0))))))) = pack1(inv(pack1(elem!0)))),
% 1.36/1.14      inference(symmetry,[status(thm)],[657])).
% 1.36/1.14  tff(659,plain,
% 1.36/1.14      (pack1(inv(pack1(elem!0))) = pack1(elem!0)),
% 1.36/1.14      inference(transitivity,[status(thm)],[555, 40, 39])).
% 1.36/1.14  tff(660,plain,
% 1.36/1.14      (pack1(pack1(inv(pack1(elem!0)))) = pack1(pack1(elem!0))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[659])).
% 1.36/1.14  tff(661,plain,
% 1.36/1.14      (pack1(pack1(pack1(inv(pack1(elem!0))))) = pack1(pack1(pack1(elem!0)))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[660])).
% 1.36/1.14  tff(662,plain,
% 1.36/1.14      (pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))) = pack1(pack1(pack1(pack1(elem!0))))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[661])).
% 1.36/1.14  tff(663,plain,
% 1.36/1.14      (pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))) = pack1(pack1(pack1(pack1(pack1(elem!0)))))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[662])).
% 1.36/1.14  tff(664,plain,
% 1.36/1.14      (pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))) = pack1(pack1(pack1(pack1(pack1(pack1(elem!0))))))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[663])).
% 1.36/1.14  tff(665,plain,
% 1.36/1.14      (pack1(pack1(pack1(pack1(pack1(pack1(elem!0)))))) = pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))),
% 1.36/1.14      inference(symmetry,[status(thm)],[664])).
% 1.36/1.14  tff(666,plain,
% 1.36/1.14      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[665])).
% 1.36/1.14  tff(667,plain,
% 1.36/1.14      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0)))))))),
% 1.36/1.14      inference(symmetry,[status(thm)],[666])).
% 1.36/1.14  tff(668,plain,
% 1.36/1.14      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0)))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[666])).
% 1.36/1.14  tff(669,plain,
% 1.36/1.14      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0)))))))) = inv(pack1(elem!0))),
% 1.36/1.14      inference(transitivity,[status(thm)],[668, 41, 12])).
% 1.36/1.14  tff(670,plain,
% 1.36/1.14      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0))))))))) = pack1(inv(pack1(elem!0)))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[669])).
% 1.36/1.14  tff(671,plain,
% 1.36/1.14      (pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))) = pack1(pack1(pack1(pack1(elem!0))))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[654])).
% 1.36/1.14  tff(672,plain,
% 1.36/1.14      (pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))) = pack1(pack1(pack1(pack1(pack1(elem!0)))))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[671])).
% 1.36/1.14  tff(673,plain,
% 1.36/1.14      (pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(elem!0))))))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[672])).
% 1.36/1.14  tff(674,plain,
% 1.36/1.14      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0)))))))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[673])).
% 1.36/1.14  tff(675,plain,
% 1.36/1.14      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0))))))))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[674])).
% 1.36/1.14  tff(676,plain,
% 1.36/1.14      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0)))))))))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[675])).
% 1.36/1.14  tff(677,plain,
% 1.36/1.14      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))) = pack1(elem!0)),
% 1.36/1.14      inference(transitivity,[status(thm)],[676, 670, 555, 40, 39])).
% 1.36/1.14  tff(678,plain,
% 1.36/1.14      (inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))) = inv(pack1(elem!0))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[677])).
% 1.36/1.14  tff(679,plain,
% 1.36/1.14      (inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))) = o),
% 1.36/1.14      inference(transitivity,[status(thm)],[678, 10])).
% 1.36/1.14  tff(680,plain,
% 1.36/1.14      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))),
% 1.36/1.14      inference(symmetry,[status(thm)],[676])).
% 1.36/1.14  tff(681,plain,
% 1.36/1.14      (inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0)))))))))) = inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[680])).
% 1.36/1.14  tff(682,plain,
% 1.36/1.14      (inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))) = inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0))))))))))),
% 1.36/1.14      inference(symmetry,[status(thm)],[681])).
% 1.36/1.14  tff(683,plain,
% 1.36/1.14      (inv(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))) = inv(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0)))))))))))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[682])).
% 1.36/1.14  tff(684,plain,
% 1.36/1.14      ((inv(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))) = inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))) <=> (inv(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0))))))))))) = o)),
% 1.36/1.14      inference(monotonicity,[status(thm)],[683, 679])).
% 1.36/1.14  tff(685,plain,
% 1.36/1.14      ((~(inv(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))) = inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))))) <=> (~(inv(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0))))))))))) = o))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[684])).
% 1.36/1.14  tff(686,plain,
% 1.36/1.14      (~(inv(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0))))))))))) = o)),
% 1.36/1.14      inference(modus_ponens,[status(thm)],[615, 685])).
% 1.36/1.14  tff(687,plain,
% 1.36/1.14      (inv(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0))))))))))) = i),
% 1.36/1.14      inference(unit_resolution,[status(thm)],[620, 686])).
% 1.36/1.14  tff(688,plain,
% 1.36/1.14      (inv(pack1(elem!0)) = inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))),
% 1.36/1.14      inference(symmetry,[status(thm)],[678])).
% 1.36/1.14  tff(689,plain,
% 1.36/1.14      (inv(inv(pack1(elem!0))) = inv(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[688])).
% 1.36/1.14  tff(690,plain,
% 1.36/1.14      (inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))) = pack1(elem!0)),
% 1.36/1.14      inference(transitivity,[status(thm)],[624, 689, 683, 687, 39])).
% 1.36/1.14  tff(691,plain,
% 1.36/1.14      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))) = inv(elem!0)),
% 1.36/1.14      inference(transitivity,[status(thm)],[667, 658, 555, 40, 626])).
% 1.36/1.14  tff(692,plain,
% 1.36/1.14      (unpack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))), inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))) = unpack1(inv(elem!0), pack1(elem!0))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[691, 690])).
% 1.36/1.14  tff(693,plain,
% 1.36/1.14      (unpack1(inv(elem!0), pack1(elem!0)) = unpack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))), inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))),
% 1.36/1.14      inference(symmetry,[status(thm)],[692])).
% 1.36/1.14  tff(694,plain,
% 1.36/1.14      (inv(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))) = inv(inv(pack1(elem!0)))),
% 1.36/1.14      inference(symmetry,[status(thm)],[689])).
% 1.36/1.14  tff(695,plain,
% 1.36/1.14      (inv(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0))))))))))) = inv(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))))),
% 1.36/1.14      inference(symmetry,[status(thm)],[683])).
% 1.36/1.14  tff(696,plain,
% 1.36/1.14      (i = inv(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(elem!0)))))))))))),
% 1.36/1.14      inference(symmetry,[status(thm)],[687])).
% 1.36/1.14  tff(697,plain,
% 1.36/1.14      (inv(elem!0) = inv(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))),
% 1.36/1.14      inference(transitivity,[status(thm)],[544, 696, 695, 694, 631])).
% 1.36/1.14  tff(698,plain,
% 1.36/1.14      (unpack1(inv(elem!0), pack1(elem!0)) = unpack1(inv(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))), pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[697, 43])).
% 1.36/1.14  tff(699,plain,
% 1.36/1.14      (unpack1(inv(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))), pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = unpack1(inv(elem!0), pack1(elem!0))),
% 1.36/1.14      inference(symmetry,[status(thm)],[698])).
% 1.36/1.14  tff(700,plain,
% 1.36/1.14      (inv(pack1(elem!0)) = pack1(elem!0)),
% 1.36/1.14      inference(transitivity,[status(thm)],[10, 556, 47, 640, 699, 693, 606, 667, 658, 555, 40, 39])).
% 1.36/1.14  tff(701,plain,
% 1.36/1.14      ($false),
% 1.36/1.14      inference(unit_resolution,[status(thm)],[25, 700])).
% 1.36/1.14  tff(702,plain,((~(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))) = o)) | (~(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = i)) | (~(inv(pack1(elem!0)) = o))), inference(lemma,lemma(discharge,[]))).
% 1.36/1.14  tff(703,plain,
% 1.36/1.14      (~(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))) = o)),
% 1.36/1.14      inference(unit_resolution,[status(thm)],[702, 40, 10])).
% 1.36/1.14  tff(704,plain,
% 1.36/1.14      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))) = i),
% 1.36/1.14      inference(unit_resolution,[status(thm)],[128, 703])).
% 1.36/1.14  tff(705,plain,
% 1.36/1.14      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))) = pack1(elem!0)),
% 1.36/1.14      inference(transitivity,[status(thm)],[704, 39])).
% 1.36/1.14  tff(706,plain,
% 1.36/1.14      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))) = pack1(pack1(elem!0))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[705])).
% 1.36/1.14  tff(707,plain,
% 1.36/1.14      (pack1(pack1(elem!0)) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))),
% 1.36/1.14      inference(symmetry,[status(thm)],[706])).
% 1.36/1.14  tff(708,plain,
% 1.36/1.14      (inv(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = inv(pack1(elem!0))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[570])).
% 1.36/1.14  tff(709,plain,
% 1.36/1.14      (inv(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = pack1(pack1(pack1(elem!0)))),
% 1.36/1.14      inference(transitivity,[status(thm)],[708, 10, 320, 572])).
% 1.36/1.14  tff(710,plain,
% 1.36/1.14      (inv(pack1(pack1(elem!0))) = inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[707])).
% 1.36/1.14  tff(711,plain,
% 1.36/1.14      (inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))) = inv(pack1(pack1(elem!0)))),
% 1.36/1.14      inference(symmetry,[status(thm)],[710])).
% 1.36/1.14  tff(712,plain,
% 1.36/1.14      (unpack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))), inv(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = unpack1(inv(pack1(pack1(elem!0))), pack1(pack1(pack1(elem!0))))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[711, 709])).
% 1.36/1.14  tff(713,plain,
% 1.36/1.14      (inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))),
% 1.36/1.14      inference(transitivity,[status(thm)],[269, 712, 134, 707])).
% 1.36/1.14  tff(714,plain,
% 1.36/1.14      ($false),
% 1.36/1.14      inference(unit_resolution,[status(thm)],[166, 713])).
% 1.36/1.14  tff(715,plain,((~(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = o)) | (~(inv(pack1(elem!0)) = o)) | (~(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = i))), inference(lemma,lemma(discharge,[]))).
% 1.36/1.14  tff(716,plain,
% 1.36/1.14      (~(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = o)),
% 1.36/1.14      inference(unit_resolution,[status(thm)],[715, 40, 10])).
% 1.36/1.14  tff(717,plain,
% 1.36/1.14      (pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = i),
% 1.36/1.14      inference(unit_resolution,[status(thm)],[197, 716])).
% 1.36/1.14  tff(718,plain,
% 1.36/1.14      (i = pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))),
% 1.36/1.14      inference(symmetry,[status(thm)],[717])).
% 1.36/1.14  tff(719,plain,
% 1.36/1.14      (pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = pack1(pack1(pack1(elem!0)))),
% 1.36/1.14      inference(transitivity,[status(thm)],[40, 718, 654])).
% 1.36/1.14  tff(720,plain,
% 1.36/1.14      (unpack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))), pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = unpack1(inv(pack1(pack1(elem!0))), pack1(pack1(pack1(elem!0))))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[711, 719])).
% 1.36/1.14  tff(721,plain,
% 1.36/1.14      (inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))),
% 1.36/1.14      inference(transitivity,[status(thm)],[150, 720, 134, 707])).
% 1.36/1.14  tff(722,plain,
% 1.36/1.14      ($false),
% 1.36/1.14      inference(unit_resolution,[status(thm)],[166, 721])).
% 1.36/1.14  tff(723,plain,((~(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = i)) | (~(inv(pack1(elem!0)) = o))), inference(lemma,lemma(discharge,[]))).
% 1.36/1.14  tff(724,plain,
% 1.36/1.14      (~(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = i)),
% 1.36/1.14      inference(unit_resolution,[status(thm)],[723, 10])).
% 1.36/1.14  tff(725,plain,
% 1.36/1.14      (pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = o),
% 1.36/1.14      inference(unit_resolution,[status(thm)],[105, 724])).
% 1.36/1.14  tff(726,plain,
% 1.36/1.14      ((inv(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) <=> (inv(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = o)),
% 1.36/1.14      inference(monotonicity,[status(thm)],[725])).
% 1.36/1.14  tff(727,plain,
% 1.36/1.14      ((~(inv(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) <=> (~(inv(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = o))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[726])).
% 1.36/1.14  tff(728,plain,
% 1.36/1.14      (~(inv(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = o)),
% 1.36/1.14      inference(modus_ponens,[status(thm)],[256, 727])).
% 1.36/1.14  tff(729,plain,
% 1.36/1.14      (inv(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = i),
% 1.36/1.14      inference(unit_resolution,[status(thm)],[261, 728])).
% 1.36/1.14  tff(730,plain,
% 1.36/1.14      (i = inv(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))),
% 1.36/1.14      inference(symmetry,[status(thm)],[729])).
% 1.36/1.14  tff(731,plain,
% 1.36/1.14      (pack1(elem!0) = inv(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))),
% 1.36/1.14      inference(transitivity,[status(thm)],[38, 730])).
% 1.36/1.14  tff(732,plain,
% 1.36/1.14      (pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = inv(pack1(elem!0))),
% 1.36/1.14      inference(transitivity,[status(thm)],[725, 12])).
% 1.36/1.14  tff(733,plain,
% 1.36/1.14      (pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = pack1(inv(pack1(elem!0)))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[732])).
% 1.36/1.14  tff(734,plain,
% 1.36/1.14      (pack1(inv(pack1(elem!0))) = pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))),
% 1.36/1.14      inference(symmetry,[status(thm)],[733])).
% 1.36/1.14  tff(735,plain,
% 1.36/1.14      (pack1(pack1(inv(pack1(elem!0)))) = pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[734])).
% 1.36/1.14  tff(736,plain,
% 1.36/1.14      (pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = pack1(pack1(inv(pack1(elem!0))))),
% 1.36/1.14      inference(symmetry,[status(thm)],[735])).
% 1.36/1.14  tff(737,plain,
% 1.36/1.14      (pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))) = pack1(pack1(pack1(inv(pack1(elem!0)))))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[736])).
% 1.36/1.14  tff(738,plain,
% 1.36/1.14      (pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))) = pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[737])).
% 1.36/1.14  tff(739,plain,
% 1.36/1.14      (pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))) = pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[738])).
% 1.36/1.14  tff(740,plain,
% 1.36/1.14      (pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))) = pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))),
% 1.36/1.14      inference(symmetry,[status(thm)],[739])).
% 1.36/1.14  tff(741,plain,
% 1.36/1.14      (pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[740])).
% 1.36/1.14  tff(742,plain,
% 1.36/1.14      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[741])).
% 1.36/1.14  tff(743,plain,
% 1.36/1.14      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[742])).
% 1.36/1.14  tff(744,plain,
% 1.36/1.14      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[743])).
% 1.36/1.14  tff(745,plain,
% 1.36/1.14      (inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))) = inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[744])).
% 1.36/1.14  tff(746,plain,
% 1.36/1.14      (inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))) = inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))),
% 1.36/1.14      inference(symmetry,[status(thm)],[745])).
% 1.36/1.14  tff(747,plain,
% 1.36/1.14      (pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))) = pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))),
% 1.36/1.14      inference(symmetry,[status(thm)],[738])).
% 1.36/1.14  tff(748,plain,
% 1.36/1.14      (pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))) = pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[747])).
% 1.36/1.14  tff(749,plain,
% 1.36/1.14      (pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[748])).
% 1.36/1.14  tff(750,plain,
% 1.36/1.14      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[749])).
% 1.36/1.14  tff(751,plain,
% 1.36/1.14      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))),
% 1.36/1.14      inference(symmetry,[status(thm)],[750])).
% 1.36/1.14  tff(752,plain,
% 1.36/1.14      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[751])).
% 1.36/1.14  tff(753,plain,
% 1.36/1.14      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))),
% 1.36/1.14      inference(symmetry,[status(thm)],[752])).
% 1.36/1.14  tff(754,plain,
% 1.36/1.14      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[753])).
% 1.36/1.14  tff(755,plain,
% 1.36/1.14      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))),
% 1.36/1.14      inference(symmetry,[status(thm)],[754])).
% 1.36/1.14  tff(756,plain,
% 1.36/1.14      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))) = pack1(elem!0)),
% 1.36/1.14      inference(transitivity,[status(thm)],[752, 220, 39])).
% 1.36/1.14  tff(757,plain,
% 1.36/1.14      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))) = pack1(pack1(elem!0))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[756])).
% 1.36/1.14  tff(758,plain,
% 1.36/1.14      (pack1(pack1(elem!0)) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))),
% 1.36/1.14      inference(symmetry,[status(thm)],[757])).
% 1.36/1.14  tff(759,plain,
% 1.36/1.14      (inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))) = inv(pack1(elem!0))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[756])).
% 1.36/1.14  tff(760,plain,
% 1.36/1.14      (pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))) = pack1(inv(pack1(elem!0)))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[759])).
% 1.36/1.14  tff(761,plain,
% 1.36/1.14      (pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))))) = pack1(pack1(inv(pack1(elem!0))))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[760])).
% 1.36/1.14  tff(762,plain,
% 1.36/1.14      (pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))))) = pack1(elem!0)),
% 1.36/1.14      inference(transitivity,[status(thm)],[761, 735, 229, 39])).
% 1.36/1.14  tff(763,plain,
% 1.36/1.14      (pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))))) = pack1(pack1(elem!0))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[762])).
% 1.36/1.14  tff(764,plain,
% 1.36/1.14      ((~![X1: $i] : (unpack1(inv(X1), pack1(X1)) = X1)) | (unpack1(inv(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))))))), pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))))))) = pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))))))),
% 1.36/1.14      inference(quant_inst,[status(thm)],[])).
% 1.36/1.14  tff(765,plain,
% 1.36/1.14      (unpack1(inv(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))))))), pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))))))) = pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))))))),
% 1.36/1.14      inference(unit_resolution,[status(thm)],[764, 7])).
% 1.36/1.14  tff(766,plain,
% 1.36/1.14      (~(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))))))) = i)),
% 1.36/1.14      inference(unit_resolution,[status(thm)],[272, 220, 38, 725, 229])).
% 1.36/1.14  tff(767,plain,
% 1.36/1.14      (pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))))))) = o),
% 1.36/1.14      inference(unit_resolution,[status(thm)],[277, 766])).
% 1.36/1.14  tff(768,plain,
% 1.36/1.14      (o = pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))))))),
% 1.36/1.14      inference(symmetry,[status(thm)],[767])).
% 1.36/1.14  tff(769,plain,
% 1.36/1.14      (pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))))))),
% 1.36/1.14      inference(transitivity,[status(thm)],[725, 768])).
% 1.36/1.14  tff(770,plain,
% 1.36/1.14      (pack1(elem!0) = pack1(pack1(inv(pack1(elem!0))))),
% 1.36/1.14      inference(transitivity,[status(thm)],[38, 230, 736])).
% 1.36/1.14  tff(771,plain,
% 1.36/1.14      (pack1(pack1(elem!0)) = pack1(pack1(pack1(inv(pack1(elem!0)))))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[770])).
% 1.36/1.14  tff(772,plain,
% 1.36/1.14      (pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))))) = pack1(pack1(pack1(inv(pack1(elem!0)))))),
% 1.36/1.14      inference(transitivity,[status(thm)],[763, 771])).
% 1.36/1.14  tff(773,plain,
% 1.36/1.14      (inv(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))))))) = inv(pack1(pack1(pack1(inv(pack1(elem!0))))))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[772])).
% 1.36/1.14  tff(774,plain,
% 1.36/1.14      (inv(pack1(pack1(pack1(inv(pack1(elem!0)))))) = inv(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))))))),
% 1.36/1.14      inference(symmetry,[status(thm)],[773])).
% 1.36/1.14  tff(775,plain,
% 1.36/1.14      (pack1(pack1(pack1(inv(pack1(elem!0))))) = pack1(pack1(elem!0))),
% 1.36/1.14      inference(symmetry,[status(thm)],[771])).
% 1.36/1.14  tff(776,plain,
% 1.36/1.14      (pack1(pack1(pack1(inv(pack1(elem!0))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))),
% 1.36/1.14      inference(transitivity,[status(thm)],[775, 758])).
% 1.36/1.14  tff(777,plain,
% 1.36/1.14      (inv(pack1(pack1(pack1(inv(pack1(elem!0)))))) = inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[776])).
% 1.36/1.14  tff(778,plain,
% 1.36/1.14      (inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))) = inv(pack1(pack1(pack1(inv(pack1(elem!0))))))),
% 1.36/1.14      inference(symmetry,[status(thm)],[777])).
% 1.36/1.14  tff(779,plain,
% 1.36/1.14      (inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))) = inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[755])).
% 1.36/1.14  tff(780,plain,
% 1.36/1.14      (inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))) = inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))))),
% 1.36/1.14      inference(symmetry,[status(thm)],[779])).
% 1.36/1.14  tff(781,plain,
% 1.36/1.14      (inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))) = inv(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))))))),
% 1.36/1.14      inference(transitivity,[status(thm)],[780, 778, 774])).
% 1.36/1.14  tff(782,plain,
% 1.36/1.14      (unpack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))), pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = unpack1(inv(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))))))), pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))))))))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[781, 769])).
% 1.36/1.14  tff(783,plain,
% 1.36/1.14      (inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))),
% 1.36/1.14      inference(transitivity,[status(thm)],[150, 782, 765, 763, 758, 755])).
% 1.36/1.14  tff(784,plain,
% 1.36/1.14      ($false),
% 1.36/1.14      inference(unit_resolution,[status(thm)],[166, 783])).
% 1.36/1.14  tff(785,plain,((~(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))) = i)) | (~(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = i)) | (~(inv(pack1(elem!0)) = o))), inference(lemma,lemma(discharge,[]))).
% 1.36/1.14  tff(786,plain,
% 1.36/1.14      (~(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))) = i)),
% 1.36/1.14      inference(unit_resolution,[status(thm)],[785, 229, 10])).
% 1.36/1.14  tff(787,plain,
% 1.36/1.14      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))) = o),
% 1.36/1.14      inference(unit_resolution,[status(thm)],[128, 786])).
% 1.36/1.14  tff(788,plain,
% 1.36/1.14      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))) = inv(pack1(elem!0))),
% 1.36/1.14      inference(transitivity,[status(thm)],[752, 787, 12])).
% 1.36/1.14  tff(789,plain,
% 1.36/1.14      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))) = pack1(inv(pack1(elem!0)))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[788])).
% 1.36/1.14  tff(790,plain,
% 1.36/1.14      (pack1(inv(pack1(elem!0))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))),
% 1.36/1.14      inference(symmetry,[status(thm)],[789])).
% 1.36/1.14  tff(791,plain,
% 1.36/1.14      (inv(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))) = pack1(pack1(inv(pack1(elem!0))))),
% 1.36/1.14      inference(transitivity,[status(thm)],[729, 230, 736])).
% 1.36/1.14  tff(792,plain,
% 1.36/1.14      (inv(pack1(inv(pack1(elem!0)))) = inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[790])).
% 1.36/1.14  tff(793,plain,
% 1.36/1.14      (inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))) = inv(pack1(inv(pack1(elem!0))))),
% 1.36/1.14      inference(symmetry,[status(thm)],[792])).
% 1.36/1.14  tff(794,plain,
% 1.36/1.14      (inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))) = inv(pack1(inv(pack1(elem!0))))),
% 1.36/1.14      inference(transitivity,[status(thm)],[780, 793])).
% 1.36/1.14  tff(795,plain,
% 1.36/1.14      (unpack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))), inv(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = unpack1(inv(pack1(inv(pack1(elem!0)))), pack1(pack1(inv(pack1(elem!0)))))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[794, 791])).
% 1.36/1.14  tff(796,plain,
% 1.36/1.14      (inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))) = pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))),
% 1.36/1.14      inference(transitivity,[status(thm)],[269, 795, 177, 790, 755])).
% 1.36/1.14  tff(797,plain,
% 1.36/1.14      ($false),
% 1.36/1.14      inference(unit_resolution,[status(thm)],[166, 796])).
% 1.36/1.14  tff(798,plain,((~(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = i)) | (~(inv(pack1(elem!0)) = o))), inference(lemma,lemma(discharge,[]))).
% 1.36/1.14  tff(799,plain,
% 1.36/1.14      (~(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = i)),
% 1.36/1.14      inference(unit_resolution,[status(thm)],[798, 10])).
% 1.36/1.14  tff(800,plain,
% 1.36/1.14      (pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = o),
% 1.36/1.14      inference(unit_resolution,[status(thm)],[197, 799])).
% 1.36/1.14  tff(801,plain,
% 1.36/1.14      (pack1(pack1(inv(pack1(elem!0)))) = inv(pack1(elem!0))),
% 1.36/1.14      inference(transitivity,[status(thm)],[735, 800, 12])).
% 1.36/1.14  tff(802,plain,
% 1.36/1.14      (pack1(pack1(pack1(inv(pack1(elem!0))))) = pack1(inv(pack1(elem!0)))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[801])).
% 1.36/1.14  tff(803,plain,
% 1.36/1.14      (pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))) = pack1(pack1(inv(pack1(elem!0))))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[802])).
% 1.36/1.14  tff(804,plain,
% 1.36/1.14      (pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))) = inv(pack1(elem!0))),
% 1.36/1.14      inference(transitivity,[status(thm)],[803, 735, 800, 12])).
% 1.36/1.14  tff(805,plain,
% 1.36/1.14      (pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))) = pack1(inv(pack1(elem!0)))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[804])).
% 1.36/1.14  tff(806,plain,
% 1.36/1.14      (pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))) = pack1(inv(pack1(elem!0)))),
% 1.36/1.14      inference(transitivity,[status(thm)],[739, 805])).
% 1.36/1.14  tff(807,plain,
% 1.36/1.14      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))) = pack1(pack1(inv(pack1(elem!0))))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[806])).
% 1.36/1.14  tff(808,plain,
% 1.36/1.14      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))) = inv(pack1(elem!0))),
% 1.36/1.14      inference(transitivity,[status(thm)],[807, 735, 800, 12])).
% 1.36/1.14  tff(809,plain,
% 1.36/1.14      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))) = pack1(inv(pack1(elem!0)))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[808])).
% 1.36/1.14  tff(810,plain,
% 1.36/1.14      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))) = pack1(pack1(inv(pack1(elem!0))))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[809])).
% 1.36/1.14  tff(811,plain,
% 1.36/1.14      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))) = inv(pack1(elem!0))),
% 1.36/1.14      inference(transitivity,[status(thm)],[810, 735, 800, 12])).
% 1.36/1.14  tff(812,plain,
% 1.36/1.14      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))) = pack1(inv(pack1(elem!0)))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[811])).
% 1.36/1.14  tff(813,plain,
% 1.36/1.14      (inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))))))))))) = inv(pack1(inv(pack1(elem!0))))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[812])).
% 1.36/1.14  tff(814,plain,
% 1.36/1.14      (inv(pack1(inv(pack1(elem!0)))) = inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))))))))))),
% 1.36/1.14      inference(symmetry,[status(thm)],[813])).
% 1.36/1.14  tff(815,plain,
% 1.36/1.14      (~(inv(pack1(inv(pack1(elem!0)))) = o)),
% 1.36/1.14      inference(unit_resolution,[status(thm)],[192, 800, 10, 725])).
% 1.36/1.14  tff(816,plain,
% 1.36/1.14      (inv(pack1(inv(pack1(elem!0)))) = i),
% 1.36/1.14      inference(unit_resolution,[status(thm)],[86, 815])).
% 1.36/1.14  tff(817,plain,
% 1.36/1.14      (i = inv(pack1(inv(pack1(elem!0))))),
% 1.36/1.14      inference(symmetry,[status(thm)],[816])).
% 1.36/1.14  tff(818,plain,
% 1.36/1.14      (inv(elem!0) = inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))),
% 1.36/1.14      inference(transitivity,[status(thm)],[544, 817, 814, 746])).
% 1.36/1.14  tff(819,plain,
% 1.36/1.14      (unpack1(inv(elem!0), pack1(elem!0)) = unpack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))), inv(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[818, 731])).
% 1.36/1.14  tff(820,plain,
% 1.36/1.14      (unpack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))), inv(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))))) = unpack1(inv(elem!0), pack1(elem!0))),
% 1.36/1.14      inference(symmetry,[status(thm)],[819])).
% 1.36/1.14  tff(821,plain,
% 1.36/1.14      (inv(elem!0) = elem!0),
% 1.36/1.14      inference(transitivity,[status(thm)],[544, 817, 814, 746, 269, 820, 9])).
% 1.36/1.14  tff(822,plain,
% 1.36/1.14      ($false),
% 1.36/1.14      inference(unit_resolution,[status(thm)],[79, 821])).
% 1.36/1.14  tff(823,plain,(~(inv(pack1(elem!0)) = o)), inference(lemma,lemma(discharge,[]))).
% 1.36/1.14  tff(824,plain,
% 1.36/1.14      (inv(pack1(elem!0)) = i),
% 1.36/1.14      inference(unit_resolution,[status(thm)],[60, 823])).
% 1.36/1.14  tff(825,plain,
% 1.36/1.14      (i = inv(pack1(elem!0))),
% 1.36/1.14      inference(symmetry,[status(thm)],[824])).
% 1.36/1.14  tff(826,plain,
% 1.36/1.14      ((pack1(elem!0) = i) <=> (pack1(elem!0) = inv(pack1(elem!0)))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[825])).
% 1.36/1.14  tff(827,plain,
% 1.36/1.14      ((pack1(elem!0) = i) <=> (inv(pack1(elem!0)) = pack1(elem!0))),
% 1.36/1.14      inference(transitivity,[status(thm)],[826, 11])).
% 1.36/1.14  tff(828,plain,
% 1.36/1.14      ((inv(pack1(elem!0)) = pack1(elem!0)) <=> (pack1(elem!0) = i)),
% 1.36/1.14      inference(symmetry,[status(thm)],[827])).
% 1.36/1.14  tff(829,plain,
% 1.36/1.14      ((~(inv(pack1(elem!0)) = pack1(elem!0))) <=> (~(pack1(elem!0) = i))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[828])).
% 1.36/1.14  tff(830,plain,
% 1.36/1.14      (~(pack1(elem!0) = i)),
% 1.36/1.14      inference(modus_ponens,[status(thm)],[25, 829])).
% 1.36/1.14  tff(831,plain,
% 1.36/1.14      (pack1(elem!0) = o),
% 1.36/1.14      inference(unit_resolution,[status(thm)],[37, 830])).
% 1.36/1.14  tff(832,plain,
% 1.36/1.14      (pack1(elem!0) = inv(pack1(inv(pack1(elem!0))))),
% 1.36/1.14      inference(transitivity,[status(thm)],[296, 179])).
% 1.36/1.14  tff(833,assumption,(inv(elem!0) = i), introduced(assumption)).
% 1.36/1.14  tff(834,plain,
% 1.36/1.14      (inv(elem!0) = inv(pack1(elem!0))),
% 1.36/1.14      inference(transitivity,[status(thm)],[833, 306])).
% 1.36/1.14  tff(835,plain,
% 1.36/1.14      (unpack1(inv(elem!0), pack1(elem!0)) = unpack1(inv(pack1(elem!0)), inv(pack1(inv(pack1(elem!0)))))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[834, 832])).
% 1.36/1.14  tff(836,plain,
% 1.36/1.14      (unpack1(inv(pack1(elem!0)), inv(pack1(inv(pack1(elem!0))))) = unpack1(inv(elem!0), pack1(elem!0))),
% 1.36/1.14      inference(symmetry,[status(thm)],[835])).
% 1.36/1.14  tff(837,plain,
% 1.36/1.14      (inv(elem!0) = elem!0),
% 1.36/1.14      inference(transitivity,[status(thm)],[833, 306, 76, 836, 9])).
% 1.36/1.14  tff(838,plain,
% 1.36/1.14      ($false),
% 1.36/1.14      inference(unit_resolution,[status(thm)],[79, 837])).
% 1.36/1.14  tff(839,plain,((~(inv(pack1(inv(pack1(elem!0)))) = o)) | (~(inv(elem!0) = i)) | (~(pack1(elem!0) = o))), inference(lemma,lemma(discharge,[]))).
% 1.36/1.14  tff(840,plain,
% 1.36/1.14      ((~(inv(pack1(inv(pack1(elem!0)))) = o)) | (~(pack1(elem!0) = o))),
% 1.36/1.14      inference(unit_resolution,[status(thm)],[839, 544])).
% 1.36/1.14  tff(841,plain,
% 1.36/1.14      (~(inv(pack1(inv(pack1(elem!0)))) = o)),
% 1.36/1.14      inference(unit_resolution,[status(thm)],[840, 831])).
% 1.36/1.14  tff(842,plain,
% 1.36/1.14      (inv(pack1(inv(pack1(elem!0)))) = i),
% 1.36/1.14      inference(unit_resolution,[status(thm)],[86, 841])).
% 1.36/1.14  tff(843,plain,
% 1.36/1.14      (~(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))) = o)),
% 1.36/1.14      inference(unit_resolution,[status(thm)],[394, 831])).
% 1.36/1.14  tff(844,plain,
% 1.36/1.14      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))) = i),
% 1.36/1.14      inference(unit_resolution,[status(thm)],[128, 843])).
% 1.36/1.14  tff(845,plain,
% 1.36/1.14      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))) = inv(pack1(elem!0))),
% 1.36/1.14      inference(transitivity,[status(thm)],[844, 825])).
% 1.36/1.14  tff(846,plain,
% 1.36/1.14      (pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))) = pack1(inv(pack1(elem!0)))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[845])).
% 1.36/1.14  tff(847,plain,
% 1.36/1.14      (inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))) = inv(pack1(inv(pack1(elem!0))))),
% 1.36/1.14      inference(monotonicity,[status(thm)],[846])).
% 1.36/1.14  tff(848,plain,
% 1.36/1.14      (inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))) = inv(pack1(elem!0))),
% 1.36/1.15      inference(transitivity,[status(thm)],[847, 842, 825])).
% 1.36/1.15  tff(849,plain,
% 1.36/1.15      (pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = pack1(inv(pack1(elem!0)))),
% 1.36/1.15      inference(monotonicity,[status(thm)],[848])).
% 1.36/1.15  tff(850,plain,
% 1.36/1.15      (i = inv(pack1(inv(pack1(elem!0))))),
% 1.36/1.15      inference(symmetry,[status(thm)],[842])).
% 1.36/1.15  tff(851,plain,
% 1.36/1.15      ((pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = i) <=> (pack1(inv(pack1(elem!0))) = inv(pack1(inv(pack1(elem!0)))))),
% 1.36/1.15      inference(monotonicity,[status(thm)],[849, 850])).
% 1.36/1.15  tff(852,plain,
% 1.36/1.15      ((pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = i) <=> (inv(pack1(inv(pack1(elem!0)))) = pack1(inv(pack1(elem!0))))),
% 1.36/1.15      inference(transitivity,[status(thm)],[851, 93])).
% 1.36/1.15  tff(853,plain,
% 1.36/1.15      ((inv(pack1(inv(pack1(elem!0)))) = pack1(inv(pack1(elem!0)))) <=> (pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = i)),
% 1.36/1.15      inference(symmetry,[status(thm)],[852])).
% 1.36/1.15  tff(854,plain,
% 1.36/1.15      ((~(inv(pack1(inv(pack1(elem!0)))) = pack1(inv(pack1(elem!0))))) <=> (~(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = i))),
% 1.36/1.15      inference(monotonicity,[status(thm)],[853])).
% 1.36/1.15  tff(855,plain,
% 1.36/1.15      (~(pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = i)),
% 1.36/1.15      inference(modus_ponens,[status(thm)],[100, 854])).
% 1.36/1.15  tff(856,plain,
% 1.36/1.15      (pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0))))))))))))) = o),
% 1.36/1.15      inference(unit_resolution,[status(thm)],[105, 855])).
% 1.36/1.15  tff(857,plain,
% 1.36/1.15      (o = pack1(inv(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(pack1(inv(pack1(elem!0)))))))))))))),
% 1.36/1.15      inference(symmetry,[status(thm)],[856])).
% 1.36/1.15  tff(858,plain,
% 1.36/1.15      (pack1(elem!0) = pack1(inv(pack1(elem!0)))),
% 1.36/1.15      inference(transitivity,[status(thm)],[831, 857, 849])).
% 1.36/1.15  tff(859,plain,
% 1.36/1.15      (inv(elem!0) = inv(pack1(elem!0))),
% 1.36/1.15      inference(transitivity,[status(thm)],[544, 825])).
% 1.36/1.15  tff(860,plain,
% 1.36/1.15      (unpack1(inv(elem!0), pack1(elem!0)) = unpack1(inv(pack1(elem!0)), pack1(inv(pack1(elem!0))))),
% 1.36/1.15      inference(monotonicity,[status(thm)],[859, 858])).
% 1.36/1.15  tff(861,plain,
% 1.36/1.15      (unpack1(inv(pack1(elem!0)), pack1(inv(pack1(elem!0)))) = unpack1(inv(elem!0), pack1(elem!0))),
% 1.36/1.15      inference(symmetry,[status(thm)],[860])).
% 1.36/1.15  tff(862,plain,
% 1.36/1.15      (inv(elem!0) = elem!0),
% 1.36/1.15      inference(transitivity,[status(thm)],[544, 825, 120, 861, 9])).
% 1.36/1.15  tff(863,plain,
% 1.36/1.15      ($false),
% 1.36/1.15      inference(unit_resolution,[status(thm)],[79, 862])).
% 1.36/1.15  % SZS output end Proof
%------------------------------------------------------------------------------