TSTP Solution File: GRP079-1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : GRP079-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n014.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 : Fri Sep 16 22:25:46 EDT 2022
% Result : Unsatisfiable 0.73s 0.71s
% Output : Proof 0.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP079-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% 0.07/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n014.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 14:32:32 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 0.73/0.71 % SZS status Unsatisfiable
% 0.73/0.71 % SZS output start Proof
% 0.73/0.71 tff(multiply_type, type, (
% 0.73/0.71 multiply: ( $i * $i ) > $i)).
% 0.73/0.71 tff(c3_type, type, (
% 0.73/0.71 c3: $i)).
% 0.73/0.71 tff(b3_type, type, (
% 0.73/0.71 b3: $i)).
% 0.73/0.71 tff(a3_type, type, (
% 0.73/0.71 a3: $i)).
% 0.73/0.71 tff(double_divide_type, type, (
% 0.73/0.71 double_divide: ( $i * $i ) > $i)).
% 0.73/0.71 tff(identity_type, type, (
% 0.73/0.71 identity: $i)).
% 0.73/0.71 tff(inverse_type, type, (
% 0.73/0.71 inverse: $i > $i)).
% 0.73/0.71 tff(a2_type, type, (
% 0.73/0.71 a2: $i)).
% 0.73/0.71 tff(a1_type, type, (
% 0.73/0.71 a1: $i)).
% 0.73/0.71 tff(1,plain,
% 0.73/0.71 (^[Y: $i, X: $i] : refl((multiply(X, Y) = double_divide(double_divide(Y, X), identity)) <=> (multiply(X, Y) = double_divide(double_divide(Y, X), identity)))),
% 0.73/0.71 inference(bind,[status(th)],[])).
% 0.73/0.71 tff(2,plain,
% 0.73/0.71 (![Y: $i, X: $i] : (multiply(X, Y) = double_divide(double_divide(Y, X), identity)) <=> ![Y: $i, X: $i] : (multiply(X, Y) = double_divide(double_divide(Y, X), identity))),
% 0.73/0.71 inference(quant_intro,[status(thm)],[1])).
% 0.73/0.71 tff(3,plain,
% 0.73/0.71 (![Y: $i, X: $i] : (multiply(X, Y) = double_divide(double_divide(Y, X), identity)) <=> ![Y: $i, X: $i] : (multiply(X, Y) = double_divide(double_divide(Y, X), identity))),
% 0.73/0.71 inference(rewrite,[status(thm)],[])).
% 0.73/0.71 tff(4,axiom,(![Y: $i, X: $i] : (multiply(X, Y) = double_divide(double_divide(Y, X), identity))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','multiply')).
% 0.73/0.71 tff(5,plain,
% 0.73/0.71 (![Y: $i, X: $i] : (multiply(X, Y) = double_divide(double_divide(Y, X), identity))),
% 0.73/0.71 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.73/0.71 tff(6,plain,(
% 0.73/0.71 ![Y: $i, X: $i] : (multiply(X, Y) = double_divide(double_divide(Y, X), identity))),
% 0.73/0.71 inference(skolemize,[status(sab)],[5])).
% 0.73/0.71 tff(7,plain,
% 0.73/0.71 (![Y: $i, X: $i] : (multiply(X, Y) = double_divide(double_divide(Y, X), identity))),
% 0.73/0.71 inference(modus_ponens,[status(thm)],[6, 2])).
% 0.73/0.71 tff(8,plain,
% 0.73/0.71 ((~![Y: $i, X: $i] : (multiply(X, Y) = double_divide(double_divide(Y, X), identity))) | (multiply(b3, c3) = double_divide(double_divide(c3, b3), identity))),
% 0.73/0.71 inference(quant_inst,[status(thm)],[])).
% 0.73/0.71 tff(9,plain,
% 0.73/0.71 (multiply(b3, c3) = double_divide(double_divide(c3, b3), identity)),
% 0.73/0.71 inference(unit_resolution,[status(thm)],[8, 7])).
% 0.73/0.71 tff(10,plain,
% 0.73/0.71 (multiply(a3, multiply(b3, c3)) = multiply(a3, double_divide(double_divide(c3, b3), identity))),
% 0.73/0.71 inference(monotonicity,[status(thm)],[9])).
% 0.73/0.71 tff(11,plain,
% 0.73/0.71 (multiply(a3, double_divide(double_divide(c3, b3), identity)) = multiply(a3, multiply(b3, c3))),
% 0.73/0.71 inference(symmetry,[status(thm)],[10])).
% 0.73/0.71 tff(12,plain,
% 0.73/0.71 ((~![Y: $i, X: $i] : (multiply(X, Y) = double_divide(double_divide(Y, X), identity))) | (multiply(a3, double_divide(double_divide(c3, b3), identity)) = double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))),
% 0.73/0.71 inference(quant_inst,[status(thm)],[])).
% 0.73/0.71 tff(13,plain,
% 0.73/0.71 (multiply(a3, double_divide(double_divide(c3, b3), identity)) = double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)),
% 0.73/0.71 inference(unit_resolution,[status(thm)],[12, 7])).
% 0.73/0.71 tff(14,plain,
% 0.73/0.71 (double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity) = multiply(a3, double_divide(double_divide(c3, b3), identity))),
% 0.73/0.71 inference(symmetry,[status(thm)],[13])).
% 0.73/0.71 tff(15,plain,
% 0.73/0.71 (^[X: $i] : refl((identity = double_divide(X, inverse(X))) <=> (identity = double_divide(X, inverse(X))))),
% 0.73/0.71 inference(bind,[status(th)],[])).
% 0.73/0.71 tff(16,plain,
% 0.73/0.71 (![X: $i] : (identity = double_divide(X, inverse(X))) <=> ![X: $i] : (identity = double_divide(X, inverse(X)))),
% 0.73/0.71 inference(quant_intro,[status(thm)],[15])).
% 0.73/0.71 tff(17,plain,
% 0.73/0.71 (![X: $i] : (identity = double_divide(X, inverse(X))) <=> ![X: $i] : (identity = double_divide(X, inverse(X)))),
% 0.73/0.71 inference(rewrite,[status(thm)],[])).
% 0.73/0.71 tff(18,axiom,(![X: $i] : (identity = double_divide(X, inverse(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','identity')).
% 0.73/0.71 tff(19,plain,
% 0.73/0.71 (![X: $i] : (identity = double_divide(X, inverse(X)))),
% 0.73/0.71 inference(modus_ponens,[status(thm)],[18, 17])).
% 0.73/0.71 tff(20,plain,(
% 0.73/0.71 ![X: $i] : (identity = double_divide(X, inverse(X)))),
% 0.73/0.71 inference(skolemize,[status(sab)],[19])).
% 0.73/0.71 tff(21,plain,
% 0.73/0.71 (![X: $i] : (identity = double_divide(X, inverse(X)))),
% 0.73/0.71 inference(modus_ponens,[status(thm)],[20, 16])).
% 0.73/0.71 tff(22,plain,
% 0.73/0.71 ((~![X: $i] : (identity = double_divide(X, inverse(X)))) | (identity = double_divide(identity, inverse(identity)))),
% 0.73/0.71 inference(quant_inst,[status(thm)],[])).
% 0.73/0.71 tff(23,plain,
% 0.73/0.71 (identity = double_divide(identity, inverse(identity))),
% 0.73/0.71 inference(unit_resolution,[status(thm)],[22, 21])).
% 0.73/0.71 tff(24,plain,
% 0.73/0.71 (double_divide(identity, inverse(identity)) = identity),
% 0.73/0.71 inference(symmetry,[status(thm)],[23])).
% 0.73/0.71 tff(25,plain,
% 0.73/0.71 (^[X: $i] : refl((inverse(X) = double_divide(X, identity)) <=> (inverse(X) = double_divide(X, identity)))),
% 0.73/0.71 inference(bind,[status(th)],[])).
% 0.73/0.71 tff(26,plain,
% 0.73/0.71 (![X: $i] : (inverse(X) = double_divide(X, identity)) <=> ![X: $i] : (inverse(X) = double_divide(X, identity))),
% 0.73/0.71 inference(quant_intro,[status(thm)],[25])).
% 0.73/0.71 tff(27,plain,
% 0.73/0.71 (![X: $i] : (inverse(X) = double_divide(X, identity)) <=> ![X: $i] : (inverse(X) = double_divide(X, identity))),
% 0.73/0.71 inference(rewrite,[status(thm)],[])).
% 0.73/0.71 tff(28,axiom,(![X: $i] : (inverse(X) = double_divide(X, identity))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','inverse')).
% 0.73/0.71 tff(29,plain,
% 0.73/0.71 (![X: $i] : (inverse(X) = double_divide(X, identity))),
% 0.73/0.71 inference(modus_ponens,[status(thm)],[28, 27])).
% 0.73/0.71 tff(30,plain,(
% 0.73/0.71 ![X: $i] : (inverse(X) = double_divide(X, identity))),
% 0.73/0.71 inference(skolemize,[status(sab)],[29])).
% 0.73/0.71 tff(31,plain,
% 0.73/0.71 (![X: $i] : (inverse(X) = double_divide(X, identity))),
% 0.73/0.71 inference(modus_ponens,[status(thm)],[30, 26])).
% 0.73/0.71 tff(32,plain,
% 0.73/0.71 ((~![X: $i] : (inverse(X) = double_divide(X, identity))) | (inverse(identity) = double_divide(identity, identity))),
% 0.73/0.71 inference(quant_inst,[status(thm)],[])).
% 0.73/0.71 tff(33,plain,
% 0.73/0.71 (inverse(identity) = double_divide(identity, identity)),
% 0.73/0.71 inference(unit_resolution,[status(thm)],[32, 31])).
% 0.73/0.71 tff(34,plain,
% 0.73/0.71 (double_divide(identity, identity) = inverse(identity)),
% 0.73/0.71 inference(symmetry,[status(thm)],[33])).
% 0.73/0.71 tff(35,plain,
% 0.73/0.71 (double_divide(identity, double_divide(identity, identity)) = double_divide(identity, inverse(identity))),
% 0.73/0.71 inference(monotonicity,[status(thm)],[34])).
% 0.73/0.71 tff(36,plain,
% 0.73/0.71 (double_divide(identity, double_divide(identity, identity)) = identity),
% 0.73/0.71 inference(transitivity,[status(thm)],[35, 24])).
% 0.73/0.71 tff(37,plain,
% 0.73/0.71 (double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)) = double_divide(identity, inverse(identity))),
% 0.73/0.71 inference(monotonicity,[status(thm)],[36, 34])).
% 0.73/0.71 tff(38,plain,
% 0.73/0.71 (double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)) = identity),
% 0.73/0.71 inference(transitivity,[status(thm)],[37, 24])).
% 0.73/0.71 tff(39,plain,
% 0.73/0.71 (double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity))) = double_divide(identity, identity)),
% 0.73/0.71 inference(monotonicity,[status(thm)],[38, 36])).
% 0.73/0.71 tff(40,plain,
% 0.73/0.71 (double_divide(identity, identity) = double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity)))),
% 0.73/0.71 inference(symmetry,[status(thm)],[39])).
% 0.73/0.71 tff(41,plain,
% 0.73/0.71 (^[Z: $i, Y: $i, X: $i] : refl((double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y) <=> (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y))),
% 0.73/0.71 inference(bind,[status(th)],[])).
% 0.73/0.71 tff(42,plain,
% 0.73/0.71 (![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y) <=> ![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)),
% 0.73/0.71 inference(quant_intro,[status(thm)],[41])).
% 0.73/0.71 tff(43,plain,
% 0.73/0.71 (![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y) <=> ![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)),
% 0.73/0.71 inference(rewrite,[status(thm)],[])).
% 0.73/0.71 tff(44,axiom,(![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','single_axiom')).
% 0.73/0.71 tff(45,plain,
% 0.73/0.71 (![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)),
% 0.73/0.71 inference(modus_ponens,[status(thm)],[44, 43])).
% 0.73/0.71 tff(46,plain,(
% 0.73/0.71 ![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)),
% 0.73/0.71 inference(skolemize,[status(sab)],[45])).
% 0.73/0.71 tff(47,plain,
% 0.73/0.71 (![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)),
% 0.73/0.71 inference(modus_ponens,[status(thm)],[46, 42])).
% 0.73/0.71 tff(48,plain,
% 0.73/0.71 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)) | (double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, a3), double_divide(identity, identity)), double_divide(identity, a3))), double_divide(identity, identity)), double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, a3), double_divide(identity, identity)), double_divide(identity, a3))))) = double_divide(identity, identity))),
% 0.73/0.71 inference(quant_inst,[status(thm)],[])).
% 0.73/0.71 tff(49,plain,
% 0.73/0.71 (double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, a3), double_divide(identity, identity)), double_divide(identity, a3))), double_divide(identity, identity)), double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, a3), double_divide(identity, identity)), double_divide(identity, a3))))) = double_divide(identity, identity)),
% 0.73/0.71 inference(unit_resolution,[status(thm)],[48, 47])).
% 0.73/0.71 tff(50,plain,
% 0.73/0.71 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)) | (double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, a3), double_divide(identity, identity)), double_divide(identity, a3))) = identity)),
% 0.73/0.71 inference(quant_inst,[status(thm)],[])).
% 0.73/0.71 tff(51,plain,
% 0.73/0.71 (double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, a3), double_divide(identity, identity)), double_divide(identity, a3))) = identity),
% 0.73/0.71 inference(unit_resolution,[status(thm)],[50, 47])).
% 0.73/0.71 tff(52,plain,
% 0.73/0.71 (double_divide(double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, a3), double_divide(identity, identity)), double_divide(identity, a3))), double_divide(identity, identity)) = double_divide(identity, inverse(identity))),
% 0.73/0.71 inference(monotonicity,[status(thm)],[51, 34])).
% 0.73/0.71 tff(53,plain,
% 0.73/0.71 (double_divide(double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, a3), double_divide(identity, identity)), double_divide(identity, a3))), double_divide(identity, identity)) = identity),
% 0.73/0.71 inference(transitivity,[status(thm)],[52, 24])).
% 0.73/0.71 tff(54,plain,
% 0.73/0.71 (double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, a3), double_divide(identity, identity)), double_divide(identity, a3))), double_divide(identity, identity)), double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, a3), double_divide(identity, identity)), double_divide(identity, a3)))) = double_divide(identity, identity)),
% 0.73/0.71 inference(monotonicity,[status(thm)],[53, 51])).
% 0.73/0.71 tff(55,plain,
% 0.73/0.71 (double_divide(identity, identity) = double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, a3), double_divide(identity, identity)), double_divide(identity, a3))), double_divide(identity, identity)), double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, a3), double_divide(identity, identity)), double_divide(identity, a3))))),
% 0.73/0.71 inference(symmetry,[status(thm)],[54])).
% 0.73/0.71 tff(56,plain,
% 0.73/0.71 (inverse(identity) = double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, a3), double_divide(identity, identity)), double_divide(identity, a3))), double_divide(identity, identity)), double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, a3), double_divide(identity, identity)), double_divide(identity, a3))))),
% 0.73/0.71 inference(transitivity,[status(thm)],[33, 55])).
% 0.73/0.71 tff(57,plain,
% 0.73/0.71 (double_divide(identity, inverse(identity)) = double_divide(identity, double_divide(identity, identity))),
% 0.73/0.71 inference(symmetry,[status(thm)],[35])).
% 0.73/0.71 tff(58,plain,
% 0.73/0.71 (identity = double_divide(identity, double_divide(identity, identity))),
% 0.73/0.71 inference(transitivity,[status(thm)],[23, 57])).
% 0.73/0.71 tff(59,plain,
% 0.73/0.71 (double_divide(identity, inverse(identity)) = double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, a3), double_divide(identity, identity)), double_divide(identity, a3))), double_divide(identity, identity)), double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, a3), double_divide(identity, identity)), double_divide(identity, a3)))))),
% 0.73/0.71 inference(monotonicity,[status(thm)],[58, 56])).
% 0.73/0.71 tff(60,plain,
% 0.73/0.71 ((~![X: $i] : (identity = double_divide(X, inverse(X)))) | (identity = double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))), inverse(double_divide(identity, double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))))))),
% 0.73/0.71 inference(quant_inst,[status(thm)],[])).
% 0.73/0.71 tff(61,plain,
% 0.73/0.71 (identity = double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))), inverse(double_divide(identity, double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)))))),
% 0.73/0.71 inference(unit_resolution,[status(thm)],[60, 21])).
% 0.73/0.71 tff(62,plain,
% 0.73/0.71 (double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))), inverse(double_divide(identity, double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))))) = identity),
% 0.73/0.71 inference(symmetry,[status(thm)],[61])).
% 0.73/0.71 tff(63,plain,
% 0.73/0.71 ((~![X: $i] : (inverse(X) = double_divide(X, identity))) | (inverse(double_divide(identity, double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)))) = double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))), identity))),
% 0.73/0.72 inference(quant_inst,[status(thm)],[])).
% 0.73/0.72 tff(64,plain,
% 0.73/0.72 (inverse(double_divide(identity, double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)))) = double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))), identity)),
% 0.73/0.72 inference(unit_resolution,[status(thm)],[63, 31])).
% 0.73/0.72 tff(65,plain,
% 0.73/0.72 (double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))), identity) = inverse(double_divide(identity, double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))))),
% 0.73/0.72 inference(symmetry,[status(thm)],[64])).
% 0.73/0.72 tff(66,plain,
% 0.73/0.72 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)) | (double_divide(double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)), double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity), double_divide(b3, a3)))) = double_divide(identity, identity))),
% 0.73/0.72 inference(quant_inst,[status(thm)],[])).
% 0.73/0.72 tff(67,plain,
% 0.73/0.72 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)), double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity), double_divide(b3, a3)))) = double_divide(identity, identity)),
% 0.73/0.72 inference(unit_resolution,[status(thm)],[66, 47])).
% 0.73/0.72 tff(68,plain,
% 0.73/0.72 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)), double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity), double_divide(b3, a3)))) = double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity)))),
% 0.73/0.72 inference(transitivity,[status(thm)],[67, 40])).
% 0.73/0.72 tff(69,plain,
% 0.73/0.72 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)) | (double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity)))) = identity)),
% 0.73/0.72 inference(quant_inst,[status(thm)],[])).
% 0.73/0.72 tff(70,plain,
% 0.73/0.72 (double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity)))) = identity),
% 0.73/0.72 inference(unit_resolution,[status(thm)],[69, 47])).
% 0.73/0.72 tff(71,plain,
% 0.73/0.72 (double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)), double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity), double_divide(b3, a3)))), double_divide(identity, identity)) = double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity))))),
% 0.73/0.72 inference(monotonicity,[status(thm)],[67, 40])).
% 0.73/0.72 tff(72,plain,
% 0.73/0.72 (double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)), double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity), double_divide(b3, a3)))), double_divide(identity, identity)) = double_divide(identity, identity)),
% 0.73/0.72 inference(transitivity,[status(thm)],[71, 70, 23, 59, 49])).
% 0.73/0.72 tff(73,plain,
% 0.73/0.72 (double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)), double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity), double_divide(b3, a3)))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)), double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity), double_divide(b3, a3))))) = double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity))))),
% 0.73/0.72 inference(monotonicity,[status(thm)],[72, 68])).
% 0.73/0.72 tff(74,plain,
% 0.73/0.72 (double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity)))) = double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)), double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity), double_divide(b3, a3)))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)), double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity), double_divide(b3, a3)))))),
% 0.73/0.72 inference(symmetry,[status(thm)],[73])).
% 0.73/0.72 tff(75,plain,
% 0.73/0.72 (identity = double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity))))),
% 0.73/0.72 inference(symmetry,[status(thm)],[70])).
% 0.73/0.72 tff(76,plain,
% 0.73/0.72 (identity = double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)), double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity), double_divide(b3, a3)))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)), double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity), double_divide(b3, a3)))))),
% 0.73/0.72 inference(transitivity,[status(thm)],[75, 74])).
% 0.73/0.72 tff(77,plain,
% 0.73/0.72 (double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))), identity) = double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)), double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity), double_divide(b3, a3)))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)), double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity), double_divide(b3, a3))))))),
% 0.73/0.72 inference(monotonicity,[status(thm)],[76])).
% 0.73/0.72 tff(78,plain,
% 0.73/0.72 (double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)), double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity), double_divide(b3, a3)))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)), double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity), double_divide(b3, a3)))))) = double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))), identity)),
% 0.73/0.72 inference(symmetry,[status(thm)],[77])).
% 0.73/0.72 tff(79,plain,
% 0.73/0.72 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)) | (double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)), double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity), double_divide(b3, a3)))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)), double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity), double_divide(b3, a3)))))) = double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)))),
% 0.73/0.72 inference(quant_inst,[status(thm)],[])).
% 0.73/0.72 tff(80,plain,
% 0.73/0.72 (double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)), double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity), double_divide(b3, a3)))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)), double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity), double_divide(b3, a3)))))) = double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))),
% 0.73/0.72 inference(unit_resolution,[status(thm)],[79, 47])).
% 0.73/0.72 tff(81,plain,
% 0.73/0.72 (double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)) = double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)), double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity), double_divide(b3, a3)))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)), double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity), double_divide(b3, a3))))))),
% 0.73/0.72 inference(symmetry,[status(thm)],[80])).
% 0.73/0.72 tff(82,plain,
% 0.73/0.72 (double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)) = inverse(double_divide(identity, double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))))),
% 0.73/0.72 inference(transitivity,[status(thm)],[81, 78, 65])).
% 0.73/0.72 tff(83,plain,
% 0.73/0.72 (double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))), double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))) = double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))), inverse(double_divide(identity, double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)))))),
% 0.73/0.72 inference(monotonicity,[status(thm)],[82])).
% 0.73/0.72 tff(84,plain,
% 0.73/0.72 (double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))), double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))) = double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity)))),
% 0.73/0.72 inference(transitivity,[status(thm)],[83, 62, 23, 59, 49, 40])).
% 0.73/0.72 tff(85,plain,
% 0.73/0.72 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)) | (double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)), double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), double_divide(identity, identity)))) = double_divide(identity, identity))),
% 0.73/0.72 inference(quant_inst,[status(thm)],[])).
% 0.73/0.72 tff(86,plain,
% 0.73/0.72 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)), double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), double_divide(identity, identity)))) = double_divide(identity, identity)),
% 0.73/0.72 inference(unit_resolution,[status(thm)],[85, 47])).
% 0.73/0.72 tff(87,plain,
% 0.73/0.72 (double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, a3), double_divide(identity, identity)), double_divide(identity, a3))), double_divide(identity, identity)), double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, a3), double_divide(identity, identity)), double_divide(identity, a3))))) = double_divide(identity, inverse(identity))),
% 0.73/0.72 inference(symmetry,[status(thm)],[59])).
% 0.73/0.72 tff(88,plain,
% 0.73/0.72 (double_divide(identity, identity) = double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, a3), double_divide(identity, identity)), double_divide(identity, a3))), double_divide(identity, identity)), double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, a3), double_divide(identity, identity)), double_divide(identity, a3)))))),
% 0.73/0.72 inference(symmetry,[status(thm)],[49])).
% 0.73/0.72 tff(89,plain,
% 0.73/0.72 (double_divide(identity, identity) = identity),
% 0.73/0.72 inference(transitivity,[status(thm)],[88, 87, 24])).
% 0.73/0.72 tff(90,plain,
% 0.73/0.72 (double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)),
% 0.73/0.72 inference(monotonicity,[status(thm)],[89])).
% 0.73/0.72 tff(91,plain,
% 0.73/0.72 (double_divide(double_divide(identity, identity), double_divide(identity, identity)) = double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity))))),
% 0.73/0.72 inference(monotonicity,[status(thm)],[40])).
% 0.73/0.72 tff(92,plain,
% 0.73/0.72 (double_divide(double_divide(identity, identity), double_divide(identity, identity)) = double_divide(identity, identity)),
% 0.73/0.72 inference(transitivity,[status(thm)],[91, 70, 23, 59, 49])).
% 0.73/0.72 tff(93,plain,
% 0.73/0.72 (double_divide(double_divide(double_divide(identity, identity), double_divide(identity, identity)), double_divide(identity, identity)) = double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity))))),
% 0.73/0.72 inference(monotonicity,[status(thm)],[92, 40])).
% 0.73/0.72 tff(94,plain,
% 0.73/0.72 (double_divide(double_divide(double_divide(identity, identity), double_divide(identity, identity)), double_divide(identity, identity)) = identity),
% 0.73/0.72 inference(transitivity,[status(thm)],[93, 70])).
% 0.73/0.72 tff(95,plain,
% 0.73/0.72 (double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), double_divide(identity, identity))) = double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))),
% 0.73/0.72 inference(monotonicity,[status(thm)],[94, 90])).
% 0.73/0.72 tff(96,plain,
% 0.73/0.72 (double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)) = double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), double_divide(identity, identity)))),
% 0.73/0.72 inference(symmetry,[status(thm)],[95])).
% 0.73/0.72 tff(97,plain,
% 0.73/0.72 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)), double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)), double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), double_divide(identity, identity))))),
% 0.73/0.72 inference(monotonicity,[status(thm)],[96])).
% 0.73/0.72 tff(98,plain,
% 0.73/0.72 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)), double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))) = double_divide(identity, identity)),
% 0.73/0.72 inference(transitivity,[status(thm)],[97, 86])).
% 0.73/0.72 tff(99,plain,
% 0.73/0.72 (double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)), double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))), double_divide(identity, identity)) = double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity))))),
% 0.73/0.72 inference(monotonicity,[status(thm)],[98, 40])).
% 0.73/0.72 tff(100,plain,
% 0.73/0.72 (double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)), double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))), double_divide(identity, identity)) = double_divide(identity, identity)),
% 0.73/0.72 inference(transitivity,[status(thm)],[99, 70, 23, 59, 49])).
% 0.73/0.72 tff(101,plain,
% 0.73/0.72 (double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)), double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))), double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)))) = double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity))))),
% 0.73/0.72 inference(monotonicity,[status(thm)],[100, 84])).
% 0.73/0.72 tff(102,plain,
% 0.73/0.72 (double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity)))) = double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)), double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))), double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))))),
% 0.73/0.73 inference(symmetry,[status(thm)],[101])).
% 0.73/0.73 tff(103,plain,
% 0.73/0.73 (identity = double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)), double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))), double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))))),
% 0.73/0.73 inference(transitivity,[status(thm)],[75, 102])).
% 0.73/0.73 tff(104,plain,
% 0.73/0.73 (double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)) = double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))),
% 0.73/0.73 inference(monotonicity,[status(thm)],[89])).
% 0.73/0.73 tff(105,plain,
% 0.73/0.73 ((~![X: $i] : (identity = double_divide(X, inverse(X)))) | (identity = double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), inverse(double_divide(double_divide(double_divide(c3, b3), identity), a3))))),
% 0.73/0.73 inference(quant_inst,[status(thm)],[])).
% 0.73/0.73 tff(106,plain,
% 0.73/0.73 (identity = double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), inverse(double_divide(double_divide(double_divide(c3, b3), identity), a3)))),
% 0.73/0.73 inference(unit_resolution,[status(thm)],[105, 21])).
% 0.73/0.73 tff(107,plain,
% 0.73/0.73 (double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), inverse(double_divide(double_divide(double_divide(c3, b3), identity), a3))) = identity),
% 0.73/0.73 inference(symmetry,[status(thm)],[106])).
% 0.73/0.73 tff(108,plain,
% 0.73/0.73 ((~![X: $i] : (inverse(X) = double_divide(X, identity))) | (inverse(double_divide(double_divide(double_divide(c3, b3), identity), a3)) = double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))),
% 0.73/0.73 inference(quant_inst,[status(thm)],[])).
% 0.73/0.73 tff(109,plain,
% 0.73/0.73 (inverse(double_divide(double_divide(double_divide(c3, b3), identity), a3)) = double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)),
% 0.73/0.73 inference(unit_resolution,[status(thm)],[108, 31])).
% 0.73/0.73 tff(110,plain,
% 0.73/0.73 (double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity) = inverse(double_divide(double_divide(double_divide(c3, b3), identity), a3))),
% 0.73/0.73 inference(symmetry,[status(thm)],[109])).
% 0.73/0.73 tff(111,plain,
% 0.73/0.73 (double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)) = double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), inverse(double_divide(double_divide(double_divide(c3, b3), identity), a3)))),
% 0.73/0.73 inference(monotonicity,[status(thm)],[110])).
% 0.73/0.73 tff(112,plain,
% 0.73/0.73 (double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)) = double_divide(identity, identity)),
% 0.73/0.73 inference(transitivity,[status(thm)],[111, 107, 23, 59, 49])).
% 0.73/0.73 tff(113,plain,
% 0.73/0.73 (double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)), double_divide(identity, identity)) = double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity))))),
% 0.73/0.73 inference(monotonicity,[status(thm)],[112, 40])).
% 0.73/0.73 tff(114,plain,
% 0.73/0.73 (double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)), double_divide(identity, identity)) = identity),
% 0.73/0.73 inference(transitivity,[status(thm)],[113, 70])).
% 0.73/0.73 tff(115,plain,
% 0.73/0.73 (double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)), double_divide(identity, identity)), double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))) = double_divide(identity, double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)))),
% 0.73/0.73 inference(monotonicity,[status(thm)],[114, 104])).
% 0.73/0.73 tff(116,plain,
% 0.73/0.73 (double_divide(identity, double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)), double_divide(identity, identity)), double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)))),
% 0.73/0.73 inference(symmetry,[status(thm)],[115])).
% 0.73/0.73 tff(117,plain,
% 0.73/0.73 (double_divide(identity, double_divide(identity, double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)))) = double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)), double_divide(identity, identity)), double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))))),
% 0.73/0.73 inference(monotonicity,[status(thm)],[58, 116])).
% 0.73/0.73 tff(118,plain,
% 0.73/0.73 (double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)), double_divide(identity, identity)), double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)))) = double_divide(identity, double_divide(identity, double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))))),
% 0.73/0.73 inference(symmetry,[status(thm)],[117])).
% 0.73/0.73 tff(119,plain,
% 0.73/0.73 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)) | (double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)), double_divide(identity, identity)), double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)))) = double_divide(double_divide(double_divide(c3, b3), identity), a3))),
% 0.73/0.73 inference(quant_inst,[status(thm)],[])).
% 0.73/0.73 tff(120,plain,
% 0.73/0.73 (double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)), double_divide(identity, identity)), double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)))) = double_divide(double_divide(double_divide(c3, b3), identity), a3)),
% 0.73/0.73 inference(unit_resolution,[status(thm)],[119, 47])).
% 0.73/0.73 tff(121,plain,
% 0.73/0.73 (double_divide(double_divide(double_divide(c3, b3), identity), a3) = double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)), double_divide(identity, identity)), double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))))),
% 0.73/0.73 inference(symmetry,[status(thm)],[120])).
% 0.73/0.73 tff(122,plain,
% 0.73/0.73 (double_divide(double_divide(double_divide(c3, b3), identity), a3) = double_divide(identity, double_divide(identity, double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))))),
% 0.73/0.73 inference(transitivity,[status(thm)],[121, 118])).
% 0.73/0.73 tff(123,plain,
% 0.73/0.73 (double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity) = double_divide(double_divide(identity, double_divide(identity, double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)), double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))), double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)))))),
% 0.73/0.73 inference(monotonicity,[status(thm)],[122, 103])).
% 0.73/0.73 tff(124,plain,
% 0.73/0.73 (double_divide(double_divide(identity, double_divide(identity, double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)), double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))), double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))))) = double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)),
% 0.73/0.73 inference(symmetry,[status(thm)],[123])).
% 0.73/0.73 tff(125,plain,
% 0.73/0.73 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)) | (double_divide(double_divide(identity, double_divide(identity, double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)), double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))), double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))))) = double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)))),
% 0.73/0.73 inference(quant_inst,[status(thm)],[])).
% 0.73/0.73 tff(126,plain,
% 0.73/0.73 (double_divide(double_divide(identity, double_divide(identity, double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)), double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))), double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))))) = double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3))),
% 0.73/0.73 inference(unit_resolution,[status(thm)],[125, 47])).
% 0.73/0.73 tff(127,plain,
% 0.73/0.73 (double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)) = double_divide(double_divide(identity, double_divide(identity, double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)), double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))), double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)))))),
% 0.73/0.73 inference(symmetry,[status(thm)],[126])).
% 0.73/0.73 tff(128,plain,
% 0.73/0.73 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)) | (double_divide(double_divide(identity, double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(identity, identity)))) = double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)))),
% 0.73/0.73 inference(quant_inst,[status(thm)],[])).
% 0.73/0.73 tff(129,plain,
% 0.73/0.73 (double_divide(double_divide(identity, double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(identity, identity)))) = double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3))),
% 0.73/0.73 inference(unit_resolution,[status(thm)],[128, 47])).
% 0.73/0.73 tff(130,plain,
% 0.73/0.73 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)) | (double_divide(double_divide(identity, double_divide(b3, a3)), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(b3, double_divide(identity, double_divide(identity, a3))), identity)), double_divide(identity, identity)), double_divide(double_divide(b3, a3), double_divide(double_divide(b3, double_divide(identity, double_divide(identity, a3))), identity)))) = double_divide(b3, a3))),
% 0.73/0.73 inference(quant_inst,[status(thm)],[])).
% 0.73/0.73 tff(131,plain,
% 0.73/0.73 (double_divide(double_divide(identity, double_divide(b3, a3)), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(b3, double_divide(identity, double_divide(identity, a3))), identity)), double_divide(identity, identity)), double_divide(double_divide(b3, a3), double_divide(double_divide(b3, double_divide(identity, double_divide(identity, a3))), identity)))) = double_divide(b3, a3)),
% 0.73/0.73 inference(unit_resolution,[status(thm)],[130, 47])).
% 0.73/0.73 tff(132,plain,
% 0.73/0.73 ((~![X: $i] : (identity = double_divide(X, inverse(X)))) | (identity = double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), inverse(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))))))),
% 0.73/0.73 inference(quant_inst,[status(thm)],[])).
% 0.73/0.73 tff(133,plain,
% 0.73/0.73 (identity = double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), inverse(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))))),
% 0.73/0.73 inference(unit_resolution,[status(thm)],[132, 21])).
% 0.73/0.73 tff(134,plain,
% 0.73/0.73 (double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), inverse(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))))) = identity),
% 0.73/0.73 inference(symmetry,[status(thm)],[133])).
% 0.73/0.73 tff(135,plain,
% 0.73/0.73 ((~![X: $i] : (inverse(X) = double_divide(X, identity))) | (inverse(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))) = double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), identity))),
% 0.73/0.73 inference(quant_inst,[status(thm)],[])).
% 0.73/0.73 tff(136,plain,
% 0.73/0.73 (inverse(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))) = double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), identity)),
% 0.73/0.73 inference(unit_resolution,[status(thm)],[135, 31])).
% 0.73/0.73 tff(137,plain,
% 0.73/0.73 (double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), identity) = inverse(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))))),
% 0.73/0.73 inference(symmetry,[status(thm)],[136])).
% 0.73/0.73 tff(138,plain,
% 0.73/0.73 ((~![X: $i] : (identity = double_divide(X, inverse(X)))) | (identity = double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), inverse(double_divide(double_divide(identity, identity), double_divide(b3, a3)))))),
% 0.73/0.73 inference(quant_inst,[status(thm)],[])).
% 0.73/0.73 tff(139,plain,
% 0.73/0.73 (identity = double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), inverse(double_divide(double_divide(identity, identity), double_divide(b3, a3))))),
% 0.73/0.73 inference(unit_resolution,[status(thm)],[138, 21])).
% 0.73/0.73 tff(140,plain,
% 0.73/0.73 (double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), inverse(double_divide(double_divide(identity, identity), double_divide(b3, a3)))) = identity),
% 0.73/0.73 inference(symmetry,[status(thm)],[139])).
% 0.73/0.73 tff(141,plain,
% 0.73/0.73 ((~![X: $i] : (inverse(X) = double_divide(X, identity))) | (inverse(double_divide(double_divide(identity, identity), double_divide(b3, a3))) = double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), identity))),
% 0.73/0.73 inference(quant_inst,[status(thm)],[])).
% 0.73/0.73 tff(142,plain,
% 0.73/0.73 (inverse(double_divide(double_divide(identity, identity), double_divide(b3, a3))) = double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), identity)),
% 0.73/0.73 inference(unit_resolution,[status(thm)],[141, 31])).
% 0.73/0.73 tff(143,plain,
% 0.73/0.73 (double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), identity) = inverse(double_divide(double_divide(identity, identity), double_divide(b3, a3)))),
% 0.73/0.73 inference(symmetry,[status(thm)],[142])).
% 0.73/0.74 tff(144,plain,
% 0.73/0.74 (double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), identity)) = double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), inverse(double_divide(double_divide(identity, identity), double_divide(b3, a3))))),
% 0.73/0.74 inference(monotonicity,[status(thm)],[143])).
% 0.73/0.74 tff(145,plain,
% 0.73/0.74 (double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), identity)) = double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity)))),
% 0.73/0.74 inference(transitivity,[status(thm)],[144, 140, 23, 59, 49, 40])).
% 0.73/0.74 tff(146,plain,
% 0.73/0.74 (double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), identity)) = double_divide(identity, identity)),
% 0.73/0.74 inference(transitivity,[status(thm)],[144, 140, 23, 59, 49])).
% 0.73/0.74 tff(147,plain,
% 0.73/0.74 (double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), identity)), double_divide(identity, identity)) = double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity))))),
% 0.73/0.74 inference(monotonicity,[status(thm)],[146, 40])).
% 0.73/0.74 tff(148,plain,
% 0.73/0.74 (double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), identity)), double_divide(identity, identity)) = double_divide(identity, identity)),
% 0.73/0.74 inference(transitivity,[status(thm)],[147, 70, 23, 59, 49])).
% 0.73/0.74 tff(149,plain,
% 0.73/0.74 (double_divide(double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), identity))) = double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity))))),
% 0.73/0.74 inference(monotonicity,[status(thm)],[148, 145])).
% 0.73/0.74 tff(150,plain,
% 0.73/0.74 (double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity)))) = double_divide(double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), identity)))),
% 0.73/0.74 inference(symmetry,[status(thm)],[149])).
% 0.73/0.74 tff(151,plain,
% 0.73/0.74 (identity = double_divide(double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), identity)))),
% 0.73/0.74 inference(transitivity,[status(thm)],[75, 150])).
% 0.73/0.74 tff(152,plain,
% 0.73/0.74 (double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), identity) = double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), identity))))),
% 0.73/0.74 inference(monotonicity,[status(thm)],[151])).
% 0.73/0.74 tff(153,plain,
% 0.73/0.74 (double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), identity)))) = double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), identity)),
% 0.73/0.74 inference(symmetry,[status(thm)],[152])).
% 0.73/0.74 tff(154,plain,
% 0.73/0.74 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)) | (double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), identity)))) = double_divide(double_divide(identity, identity), double_divide(b3, a3)))),
% 0.73/0.74 inference(quant_inst,[status(thm)],[])).
% 0.73/0.74 tff(155,plain,
% 0.73/0.74 (double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), identity)))) = double_divide(double_divide(identity, identity), double_divide(b3, a3))),
% 0.73/0.74 inference(unit_resolution,[status(thm)],[154, 47])).
% 0.73/0.74 tff(156,plain,
% 0.73/0.74 (double_divide(double_divide(identity, identity), double_divide(b3, a3)) = double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), identity))))),
% 0.73/0.74 inference(symmetry,[status(thm)],[155])).
% 0.73/0.74 tff(157,plain,
% 0.73/0.74 (double_divide(double_divide(identity, identity), double_divide(b3, a3)) = inverse(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))))),
% 0.73/0.74 inference(transitivity,[status(thm)],[156, 153, 137])).
% 0.73/0.74 tff(158,plain,
% 0.73/0.74 (double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(identity, identity), double_divide(b3, a3))) = double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), inverse(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))))),
% 0.73/0.74 inference(monotonicity,[status(thm)],[157])).
% 0.73/0.74 tff(159,plain,
% 0.73/0.74 (double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(identity, identity), double_divide(b3, a3))) = double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity)))),
% 0.73/0.74 inference(transitivity,[status(thm)],[158, 134, 23, 59, 49, 40])).
% 0.73/0.74 tff(160,plain,
% 0.73/0.74 (double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(identity, identity), double_divide(b3, a3))) = double_divide(identity, identity)),
% 0.73/0.74 inference(transitivity,[status(thm)],[158, 134, 23, 59, 49])).
% 0.73/0.74 tff(161,plain,
% 0.73/0.74 (double_divide(double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(identity, identity)) = double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity))))),
% 0.73/0.74 inference(monotonicity,[status(thm)],[160, 40])).
% 0.73/0.74 tff(162,plain,
% 0.73/0.74 (double_divide(double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(identity, identity)) = double_divide(identity, identity)),
% 0.73/0.74 inference(transitivity,[status(thm)],[161, 70, 23, 59, 49])).
% 0.73/0.74 tff(163,plain,
% 0.73/0.74 (double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(identity, identity), double_divide(b3, a3)))) = double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity))))),
% 0.73/0.74 inference(monotonicity,[status(thm)],[162, 159])).
% 0.73/0.74 tff(164,plain,
% 0.73/0.74 (double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity)))) = double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(identity, identity), double_divide(b3, a3))))),
% 0.73/0.74 inference(symmetry,[status(thm)],[163])).
% 0.73/0.74 tff(165,plain,
% 0.73/0.74 ((~![X: $i] : (identity = double_divide(X, inverse(X)))) | (identity = double_divide(double_divide(b3, a3), inverse(double_divide(b3, a3))))),
% 0.73/0.74 inference(quant_inst,[status(thm)],[])).
% 0.73/0.74 tff(166,plain,
% 0.73/0.74 (identity = double_divide(double_divide(b3, a3), inverse(double_divide(b3, a3)))),
% 0.73/0.74 inference(unit_resolution,[status(thm)],[165, 21])).
% 0.73/0.74 tff(167,plain,
% 0.73/0.74 (double_divide(double_divide(b3, a3), inverse(double_divide(b3, a3))) = identity),
% 0.73/0.74 inference(symmetry,[status(thm)],[166])).
% 0.73/0.74 tff(168,plain,
% 0.73/0.74 ((~![X: $i] : (inverse(X) = double_divide(X, identity))) | (inverse(double_divide(b3, a3)) = double_divide(double_divide(b3, a3), identity))),
% 0.73/0.74 inference(quant_inst,[status(thm)],[])).
% 0.73/0.74 tff(169,plain,
% 0.73/0.74 (inverse(double_divide(b3, a3)) = double_divide(double_divide(b3, a3), identity)),
% 0.73/0.74 inference(unit_resolution,[status(thm)],[168, 31])).
% 0.73/0.74 tff(170,plain,
% 0.73/0.74 (double_divide(double_divide(b3, a3), identity) = inverse(double_divide(b3, a3))),
% 0.73/0.74 inference(symmetry,[status(thm)],[169])).
% 0.73/0.74 tff(171,plain,
% 0.73/0.74 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)) | (double_divide(double_divide(identity, a3), double_divide(double_divide(double_divide(a3, inverse(a3)), double_divide(identity, identity)), double_divide(a3, inverse(a3)))) = a3)),
% 0.73/0.74 inference(quant_inst,[status(thm)],[])).
% 0.73/0.74 tff(172,plain,
% 0.73/0.74 (double_divide(double_divide(identity, a3), double_divide(double_divide(double_divide(a3, inverse(a3)), double_divide(identity, identity)), double_divide(a3, inverse(a3)))) = a3),
% 0.73/0.74 inference(unit_resolution,[status(thm)],[171, 47])).
% 0.73/0.74 tff(173,plain,
% 0.73/0.74 ((~![X: $i] : (identity = double_divide(X, inverse(X)))) | (identity = double_divide(a3, inverse(a3)))),
% 0.73/0.74 inference(quant_inst,[status(thm)],[])).
% 0.73/0.74 tff(174,plain,
% 0.73/0.74 (identity = double_divide(a3, inverse(a3))),
% 0.73/0.74 inference(unit_resolution,[status(thm)],[173, 21])).
% 0.73/0.74 tff(175,plain,
% 0.73/0.74 (double_divide(a3, inverse(a3)) = identity),
% 0.73/0.74 inference(symmetry,[status(thm)],[174])).
% 0.73/0.74 tff(176,plain,
% 0.73/0.74 (double_divide(a3, inverse(a3)) = double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity)))),
% 0.73/0.74 inference(transitivity,[status(thm)],[175, 23, 59, 49, 40])).
% 0.73/0.74 tff(177,plain,
% 0.73/0.74 (double_divide(a3, inverse(a3)) = double_divide(identity, identity)),
% 0.73/0.74 inference(transitivity,[status(thm)],[175, 23, 59, 49])).
% 0.73/0.74 tff(178,plain,
% 0.73/0.74 (double_divide(double_divide(a3, inverse(a3)), double_divide(identity, identity)) = double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity))))),
% 0.73/0.74 inference(monotonicity,[status(thm)],[177, 40])).
% 0.73/0.74 tff(179,plain,
% 0.73/0.74 (double_divide(double_divide(a3, inverse(a3)), double_divide(identity, identity)) = double_divide(identity, identity)),
% 0.73/0.74 inference(transitivity,[status(thm)],[178, 70, 23, 59, 49])).
% 0.73/0.74 tff(180,plain,
% 0.73/0.74 (double_divide(double_divide(double_divide(a3, inverse(a3)), double_divide(identity, identity)), double_divide(a3, inverse(a3))) = double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity))))),
% 0.73/0.74 inference(monotonicity,[status(thm)],[179, 176])).
% 0.73/0.74 tff(181,plain,
% 0.73/0.74 (double_divide(double_divide(double_divide(a3, inverse(a3)), double_divide(identity, identity)), double_divide(a3, inverse(a3))) = double_divide(identity, identity)),
% 0.73/0.74 inference(transitivity,[status(thm)],[180, 70, 23, 59, 49])).
% 0.73/0.74 tff(182,plain,
% 0.73/0.74 (double_divide(double_divide(identity, a3), double_divide(double_divide(double_divide(a3, inverse(a3)), double_divide(identity, identity)), double_divide(a3, inverse(a3)))) = double_divide(double_divide(identity, a3), double_divide(identity, identity))),
% 0.73/0.74 inference(monotonicity,[status(thm)],[181])).
% 0.73/0.74 tff(183,plain,
% 0.73/0.74 (double_divide(double_divide(identity, a3), double_divide(identity, identity)) = double_divide(double_divide(identity, a3), double_divide(double_divide(double_divide(a3, inverse(a3)), double_divide(identity, identity)), double_divide(a3, inverse(a3))))),
% 0.73/0.74 inference(symmetry,[status(thm)],[182])).
% 0.73/0.74 tff(184,plain,
% 0.73/0.74 ((~![X: $i] : (identity = double_divide(X, inverse(X)))) | (identity = double_divide(double_divide(identity, double_divide(identity, a3)), inverse(double_divide(identity, double_divide(identity, a3)))))),
% 0.73/0.74 inference(quant_inst,[status(thm)],[])).
% 0.73/0.74 tff(185,plain,
% 0.73/0.74 (identity = double_divide(double_divide(identity, double_divide(identity, a3)), inverse(double_divide(identity, double_divide(identity, a3))))),
% 0.73/0.74 inference(unit_resolution,[status(thm)],[184, 21])).
% 0.73/0.74 tff(186,plain,
% 0.73/0.74 (double_divide(double_divide(identity, double_divide(identity, a3)), inverse(double_divide(identity, double_divide(identity, a3)))) = identity),
% 0.73/0.74 inference(symmetry,[status(thm)],[185])).
% 0.73/0.74 tff(187,plain,
% 0.73/0.74 ((~![X: $i] : (inverse(X) = double_divide(X, identity))) | (inverse(double_divide(identity, double_divide(identity, a3))) = double_divide(double_divide(identity, double_divide(identity, a3)), identity))),
% 0.73/0.74 inference(quant_inst,[status(thm)],[])).
% 0.73/0.74 tff(188,plain,
% 0.73/0.74 (inverse(double_divide(identity, double_divide(identity, a3))) = double_divide(double_divide(identity, double_divide(identity, a3)), identity)),
% 0.73/0.74 inference(unit_resolution,[status(thm)],[187, 31])).
% 0.73/0.74 tff(189,plain,
% 0.73/0.74 (double_divide(double_divide(identity, double_divide(identity, a3)), identity) = inverse(double_divide(identity, double_divide(identity, a3)))),
% 0.73/0.74 inference(symmetry,[status(thm)],[188])).
% 0.73/0.74 tff(190,plain,
% 0.73/0.74 ((~![X: $i] : (identity = double_divide(X, inverse(X)))) | (identity = double_divide(double_divide(identity, a3), inverse(double_divide(identity, a3))))),
% 0.73/0.74 inference(quant_inst,[status(thm)],[])).
% 0.73/0.74 tff(191,plain,
% 0.73/0.74 (identity = double_divide(double_divide(identity, a3), inverse(double_divide(identity, a3)))),
% 0.73/0.74 inference(unit_resolution,[status(thm)],[190, 21])).
% 0.73/0.74 tff(192,plain,
% 0.73/0.74 (double_divide(double_divide(identity, a3), inverse(double_divide(identity, a3))) = identity),
% 0.73/0.74 inference(symmetry,[status(thm)],[191])).
% 0.73/0.74 tff(193,plain,
% 0.73/0.74 ((~![X: $i] : (inverse(X) = double_divide(X, identity))) | (inverse(double_divide(identity, a3)) = double_divide(double_divide(identity, a3), identity))),
% 0.73/0.74 inference(quant_inst,[status(thm)],[])).
% 0.73/0.74 tff(194,plain,
% 0.73/0.74 (inverse(double_divide(identity, a3)) = double_divide(double_divide(identity, a3), identity)),
% 0.73/0.74 inference(unit_resolution,[status(thm)],[193, 31])).
% 0.73/0.74 tff(195,plain,
% 0.73/0.74 (double_divide(double_divide(identity, a3), identity) = inverse(double_divide(identity, a3))),
% 0.73/0.74 inference(symmetry,[status(thm)],[194])).
% 0.73/0.74 tff(196,plain,
% 0.73/0.74 (double_divide(double_divide(identity, a3), double_divide(double_divide(identity, a3), identity)) = double_divide(double_divide(identity, a3), inverse(double_divide(identity, a3)))),
% 0.73/0.74 inference(monotonicity,[status(thm)],[195])).
% 0.73/0.74 tff(197,plain,
% 0.73/0.74 (double_divide(double_divide(identity, a3), double_divide(double_divide(identity, a3), identity)) = double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity)))),
% 0.73/0.74 inference(transitivity,[status(thm)],[196, 192, 23, 59, 49, 40])).
% 0.73/0.74 tff(198,plain,
% 0.73/0.74 (double_divide(double_divide(identity, a3), double_divide(double_divide(identity, a3), identity)) = double_divide(identity, identity)),
% 0.73/0.74 inference(transitivity,[status(thm)],[196, 192, 23, 59, 49])).
% 0.73/0.74 tff(199,plain,
% 0.73/0.74 (double_divide(double_divide(double_divide(identity, a3), double_divide(double_divide(identity, a3), identity)), double_divide(identity, identity)) = double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity))))),
% 0.73/0.74 inference(monotonicity,[status(thm)],[198, 40])).
% 0.73/0.74 tff(200,plain,
% 0.73/0.74 (double_divide(double_divide(double_divide(identity, a3), double_divide(double_divide(identity, a3), identity)), double_divide(identity, identity)) = double_divide(identity, identity)),
% 0.73/0.74 inference(transitivity,[status(thm)],[199, 70, 23, 59, 49])).
% 0.73/0.74 tff(201,plain,
% 0.73/0.74 (double_divide(double_divide(double_divide(double_divide(identity, a3), double_divide(double_divide(identity, a3), identity)), double_divide(identity, identity)), double_divide(double_divide(identity, a3), double_divide(double_divide(identity, a3), identity))) = double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity))))),
% 0.73/0.74 inference(monotonicity,[status(thm)],[200, 197])).
% 0.73/0.74 tff(202,plain,
% 0.73/0.74 (double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity)))) = double_divide(double_divide(double_divide(double_divide(identity, a3), double_divide(double_divide(identity, a3), identity)), double_divide(identity, identity)), double_divide(double_divide(identity, a3), double_divide(double_divide(identity, a3), identity)))),
% 0.73/0.74 inference(symmetry,[status(thm)],[201])).
% 0.73/0.74 tff(203,plain,
% 0.73/0.74 (identity = double_divide(double_divide(double_divide(double_divide(identity, a3), double_divide(double_divide(identity, a3), identity)), double_divide(identity, identity)), double_divide(double_divide(identity, a3), double_divide(double_divide(identity, a3), identity)))),
% 0.73/0.74 inference(transitivity,[status(thm)],[75, 202])).
% 0.73/0.74 tff(204,plain,
% 0.73/0.74 (double_divide(double_divide(identity, double_divide(identity, a3)), identity) = double_divide(double_divide(identity, double_divide(identity, a3)), double_divide(double_divide(double_divide(double_divide(identity, a3), double_divide(double_divide(identity, a3), identity)), double_divide(identity, identity)), double_divide(double_divide(identity, a3), double_divide(double_divide(identity, a3), identity))))),
% 0.73/0.74 inference(monotonicity,[status(thm)],[203])).
% 0.73/0.74 tff(205,plain,
% 0.73/0.74 (double_divide(double_divide(identity, double_divide(identity, a3)), double_divide(double_divide(double_divide(double_divide(identity, a3), double_divide(double_divide(identity, a3), identity)), double_divide(identity, identity)), double_divide(double_divide(identity, a3), double_divide(double_divide(identity, a3), identity)))) = double_divide(double_divide(identity, double_divide(identity, a3)), identity)),
% 0.73/0.74 inference(symmetry,[status(thm)],[204])).
% 0.73/0.74 tff(206,plain,
% 0.73/0.74 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)) | (double_divide(double_divide(identity, double_divide(identity, a3)), double_divide(double_divide(double_divide(double_divide(identity, a3), double_divide(double_divide(identity, a3), identity)), double_divide(identity, identity)), double_divide(double_divide(identity, a3), double_divide(double_divide(identity, a3), identity)))) = double_divide(identity, a3))),
% 0.73/0.74 inference(quant_inst,[status(thm)],[])).
% 0.73/0.74 tff(207,plain,
% 0.73/0.74 (double_divide(double_divide(identity, double_divide(identity, a3)), double_divide(double_divide(double_divide(double_divide(identity, a3), double_divide(double_divide(identity, a3), identity)), double_divide(identity, identity)), double_divide(double_divide(identity, a3), double_divide(double_divide(identity, a3), identity)))) = double_divide(identity, a3)),
% 0.73/0.74 inference(unit_resolution,[status(thm)],[206, 47])).
% 0.73/0.74 tff(208,plain,
% 0.73/0.74 (double_divide(identity, a3) = double_divide(double_divide(identity, double_divide(identity, a3)), double_divide(double_divide(double_divide(double_divide(identity, a3), double_divide(double_divide(identity, a3), identity)), double_divide(identity, identity)), double_divide(double_divide(identity, a3), double_divide(double_divide(identity, a3), identity))))),
% 0.73/0.74 inference(symmetry,[status(thm)],[207])).
% 0.73/0.74 tff(209,plain,
% 0.73/0.74 (double_divide(identity, a3) = inverse(double_divide(identity, double_divide(identity, a3)))),
% 0.73/0.74 inference(transitivity,[status(thm)],[208, 205, 189])).
% 0.73/0.74 tff(210,plain,
% 0.73/0.74 (double_divide(double_divide(identity, double_divide(identity, a3)), double_divide(identity, a3)) = double_divide(double_divide(identity, double_divide(identity, a3)), inverse(double_divide(identity, double_divide(identity, a3))))),
% 0.73/0.75 inference(monotonicity,[status(thm)],[209])).
% 0.73/0.75 tff(211,plain,
% 0.73/0.75 (double_divide(double_divide(identity, double_divide(identity, a3)), double_divide(identity, a3)) = double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity)))),
% 0.73/0.75 inference(transitivity,[status(thm)],[210, 186, 23, 59, 49, 40])).
% 0.73/0.75 tff(212,plain,
% 0.73/0.75 (double_divide(double_divide(identity, double_divide(identity, a3)), double_divide(identity, a3)) = double_divide(identity, identity)),
% 0.73/0.75 inference(transitivity,[status(thm)],[210, 186, 23, 59, 49])).
% 0.73/0.75 tff(213,plain,
% 0.73/0.75 (double_divide(double_divide(double_divide(identity, double_divide(identity, a3)), double_divide(identity, a3)), double_divide(identity, identity)) = double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity))))),
% 0.73/0.75 inference(monotonicity,[status(thm)],[212, 40])).
% 0.73/0.75 tff(214,plain,
% 0.73/0.75 (double_divide(double_divide(double_divide(identity, double_divide(identity, a3)), double_divide(identity, a3)), double_divide(identity, identity)) = double_divide(identity, identity)),
% 0.73/0.75 inference(transitivity,[status(thm)],[213, 70, 23, 59, 49])).
% 0.73/0.75 tff(215,plain,
% 0.73/0.75 (double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, a3)), double_divide(identity, a3)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, a3)), double_divide(identity, a3))) = double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity))))),
% 0.73/0.75 inference(monotonicity,[status(thm)],[214, 211])).
% 0.73/0.75 tff(216,plain,
% 0.73/0.75 (double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity)))) = double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, a3)), double_divide(identity, a3)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, a3)), double_divide(identity, a3)))),
% 0.73/0.75 inference(symmetry,[status(thm)],[215])).
% 0.73/0.75 tff(217,plain,
% 0.73/0.75 (double_divide(identity, identity) = double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, a3)), double_divide(identity, a3)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, a3)), double_divide(identity, a3)))),
% 0.73/0.75 inference(transitivity,[status(thm)],[88, 87, 24, 75, 216])).
% 0.73/0.75 tff(218,plain,
% 0.73/0.75 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)) | (double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(identity, double_divide(identity, a3))), double_divide(identity, identity)), double_divide(double_divide(identity, identity), double_divide(identity, double_divide(identity, a3))))) = double_divide(identity, double_divide(identity, double_divide(identity, a3))))),
% 0.73/0.75 inference(quant_inst,[status(thm)],[])).
% 0.73/0.75 tff(219,plain,
% 0.73/0.75 (double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(identity, double_divide(identity, a3))), double_divide(identity, identity)), double_divide(double_divide(identity, identity), double_divide(identity, double_divide(identity, a3))))) = double_divide(identity, double_divide(identity, double_divide(identity, a3)))),
% 0.73/0.75 inference(unit_resolution,[status(thm)],[218, 47])).
% 0.73/0.75 tff(220,plain,
% 0.73/0.75 (double_divide(double_divide(identity, identity), double_divide(identity, double_divide(identity, a3))) = double_divide(identity, double_divide(identity, double_divide(identity, a3)))),
% 0.73/0.75 inference(monotonicity,[status(thm)],[89])).
% 0.73/0.75 tff(221,plain,
% 0.73/0.75 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)) | (double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, a3)), double_divide(identity, identity)))) = double_divide(identity, identity))),
% 0.73/0.75 inference(quant_inst,[status(thm)],[])).
% 0.73/0.75 tff(222,plain,
% 0.73/0.75 (double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, a3)), double_divide(identity, identity)))) = double_divide(identity, identity)),
% 0.73/0.75 inference(unit_resolution,[status(thm)],[221, 47])).
% 0.73/0.75 tff(223,plain,
% 0.73/0.75 (double_divide(identity, identity) = double_divide(double_divide(double_divide(double_divide(identity, a3), double_divide(double_divide(identity, a3), identity)), double_divide(identity, identity)), double_divide(double_divide(identity, a3), double_divide(double_divide(identity, a3), identity)))),
% 0.73/0.75 inference(transitivity,[status(thm)],[88, 87, 24, 75, 202])).
% 0.73/0.75 tff(224,plain,
% 0.73/0.75 (double_divide(double_divide(identity, double_divide(identity, a3)), double_divide(identity, identity)) = double_divide(double_divide(identity, double_divide(identity, a3)), double_divide(double_divide(double_divide(double_divide(identity, a3), double_divide(double_divide(identity, a3), identity)), double_divide(identity, identity)), double_divide(double_divide(identity, a3), double_divide(double_divide(identity, a3), identity))))),
% 0.73/0.75 inference(monotonicity,[status(thm)],[223])).
% 0.73/0.75 tff(225,plain,
% 0.73/0.75 (double_divide(double_divide(identity, double_divide(identity, a3)), double_divide(identity, identity)) = double_divide(identity, a3)),
% 0.73/0.75 inference(transitivity,[status(thm)],[224, 207])).
% 0.73/0.75 tff(226,plain,
% 0.73/0.75 (double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, a3)), double_divide(identity, identity))) = double_divide(identity, double_divide(identity, a3))),
% 0.73/0.75 inference(monotonicity,[status(thm)],[94, 225])).
% 0.73/0.75 tff(227,plain,
% 0.73/0.75 (double_divide(identity, double_divide(identity, a3)) = double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, a3)), double_divide(identity, identity)))),
% 0.73/0.75 inference(symmetry,[status(thm)],[226])).
% 0.73/0.75 tff(228,plain,
% 0.73/0.75 (double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(identity, double_divide(identity, a3))) = double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, a3)), double_divide(identity, identity))))),
% 0.73/0.75 inference(monotonicity,[status(thm)],[227])).
% 0.73/0.75 tff(229,plain,
% 0.73/0.75 (double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(identity, double_divide(identity, a3))) = double_divide(identity, identity)),
% 0.73/0.75 inference(transitivity,[status(thm)],[228, 222])).
% 0.73/0.75 tff(230,plain,
% 0.73/0.75 (double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(identity, double_divide(identity, a3))), double_divide(identity, identity)) = double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity))))),
% 0.73/0.75 inference(monotonicity,[status(thm)],[229, 40])).
% 0.73/0.75 tff(231,plain,
% 0.73/0.75 (double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(identity, double_divide(identity, a3))), double_divide(identity, identity)) = identity),
% 0.73/0.75 inference(transitivity,[status(thm)],[230, 70])).
% 0.73/0.75 tff(232,plain,
% 0.73/0.75 (double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(identity, double_divide(identity, a3))), double_divide(identity, identity)), double_divide(double_divide(identity, identity), double_divide(identity, double_divide(identity, a3)))) = double_divide(identity, double_divide(identity, double_divide(identity, double_divide(identity, a3))))),
% 0.73/0.75 inference(monotonicity,[status(thm)],[231, 220])).
% 0.73/0.75 tff(233,plain,
% 0.73/0.75 (double_divide(identity, double_divide(identity, double_divide(identity, double_divide(identity, a3)))) = double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(identity, double_divide(identity, a3))), double_divide(identity, identity)), double_divide(double_divide(identity, identity), double_divide(identity, double_divide(identity, a3))))),
% 0.73/0.75 inference(symmetry,[status(thm)],[232])).
% 0.73/0.75 tff(234,plain,
% 0.73/0.75 (double_divide(identity, double_divide(identity, double_divide(identity, double_divide(identity, double_divide(identity, a3))))) = double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(identity, double_divide(identity, a3))), double_divide(identity, identity)), double_divide(double_divide(identity, identity), double_divide(identity, double_divide(identity, a3)))))),
% 0.73/0.75 inference(monotonicity,[status(thm)],[58, 233])).
% 0.73/0.75 tff(235,plain,
% 0.73/0.75 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)) | (double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(double_divide(double_divide(identity, a3), double_divide(identity, identity)), double_divide(identity, a3))), double_divide(identity, identity)), double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, a3), double_divide(identity, identity)), double_divide(identity, a3))))) = double_divide(identity, double_divide(identity, double_divide(identity, a3))))),
% 0.73/0.75 inference(quant_inst,[status(thm)],[])).
% 0.73/0.75 tff(236,plain,
% 0.73/0.75 (double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(double_divide(double_divide(identity, a3), double_divide(identity, identity)), double_divide(identity, a3))), double_divide(identity, identity)), double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, a3), double_divide(identity, identity)), double_divide(identity, a3))))) = double_divide(identity, double_divide(identity, double_divide(identity, a3)))),
% 0.73/0.75 inference(unit_resolution,[status(thm)],[235, 47])).
% 0.73/0.75 tff(237,plain,
% 0.73/0.75 (double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, a3), double_divide(identity, identity)), double_divide(identity, a3))) = double_divide(identity, identity)),
% 0.73/0.75 inference(transitivity,[status(thm)],[51, 23, 59, 49])).
% 0.73/0.75 tff(238,plain,
% 0.73/0.75 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)) | (double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, a3)), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, a3)), double_divide(identity, identity)))) = double_divide(identity, double_divide(identity, a3)))),
% 0.73/0.75 inference(quant_inst,[status(thm)],[])).
% 0.73/0.75 tff(239,plain,
% 0.73/0.75 (double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, a3)), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, a3)), double_divide(identity, identity)))) = double_divide(identity, double_divide(identity, a3))),
% 0.73/0.75 inference(unit_resolution,[status(thm)],[238, 47])).
% 0.73/0.75 tff(240,plain,
% 0.73/0.75 (identity = double_divide(identity, identity)),
% 0.73/0.75 inference(transitivity,[status(thm)],[23, 59, 49])).
% 0.73/0.75 tff(241,plain,
% 0.73/0.75 (double_divide(double_divide(double_divide(identity, double_divide(identity, a3)), double_divide(identity, identity)), identity) = double_divide(double_divide(identity, a3), double_divide(identity, identity))),
% 0.73/0.75 inference(monotonicity,[status(thm)],[225, 240])).
% 0.73/0.75 tff(242,plain,
% 0.73/0.75 (double_divide(double_divide(double_divide(identity, double_divide(identity, a3)), double_divide(identity, identity)), double_divide(identity, identity)) = double_divide(double_divide(double_divide(identity, double_divide(identity, a3)), double_divide(identity, identity)), identity)),
% 0.73/0.75 inference(monotonicity,[status(thm)],[89])).
% 0.73/0.75 tff(243,plain,
% 0.73/0.75 (double_divide(double_divide(double_divide(identity, double_divide(identity, a3)), double_divide(identity, identity)), double_divide(identity, identity)) = double_divide(double_divide(identity, a3), double_divide(identity, identity))),
% 0.73/0.75 inference(transitivity,[status(thm)],[242, 241])).
% 0.73/0.75 tff(244,plain,
% 0.73/0.75 (double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, a3)), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, a3)), double_divide(identity, identity))) = double_divide(double_divide(double_divide(identity, a3), double_divide(identity, identity)), double_divide(identity, a3))),
% 0.73/0.75 inference(monotonicity,[status(thm)],[243, 225])).
% 0.73/0.75 tff(245,plain,
% 0.73/0.75 (double_divide(double_divide(double_divide(identity, a3), double_divide(identity, identity)), double_divide(identity, a3)) = double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, a3)), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, a3)), double_divide(identity, identity)))),
% 0.73/0.75 inference(symmetry,[status(thm)],[244])).
% 0.73/0.75 tff(246,plain,
% 0.73/0.75 (double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(double_divide(double_divide(identity, a3), double_divide(identity, identity)), double_divide(identity, a3))) = double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, a3)), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, a3)), double_divide(identity, identity))))),
% 0.73/0.75 inference(monotonicity,[status(thm)],[245])).
% 0.81/0.75 tff(247,plain,
% 0.81/0.75 (double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(double_divide(double_divide(identity, a3), double_divide(identity, identity)), double_divide(identity, a3))) = double_divide(identity, double_divide(identity, a3))),
% 0.81/0.75 inference(transitivity,[status(thm)],[246, 239])).
% 0.81/0.75 tff(248,plain,
% 0.81/0.75 (double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(double_divide(double_divide(identity, a3), double_divide(identity, identity)), double_divide(identity, a3))), double_divide(identity, identity)) = double_divide(double_divide(identity, double_divide(identity, a3)), double_divide(double_divide(double_divide(double_divide(identity, a3), double_divide(double_divide(identity, a3), identity)), double_divide(identity, identity)), double_divide(double_divide(identity, a3), double_divide(double_divide(identity, a3), identity))))),
% 0.81/0.75 inference(monotonicity,[status(thm)],[247, 223])).
% 0.81/0.75 tff(249,plain,
% 0.81/0.75 (double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(double_divide(double_divide(identity, a3), double_divide(identity, identity)), double_divide(identity, a3))), double_divide(identity, identity)) = double_divide(identity, a3)),
% 0.81/0.75 inference(transitivity,[status(thm)],[248, 207])).
% 0.81/0.75 tff(250,plain,
% 0.81/0.75 (double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(double_divide(double_divide(identity, a3), double_divide(identity, identity)), double_divide(identity, a3))), double_divide(identity, identity)), double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, a3), double_divide(identity, identity)), double_divide(identity, a3)))) = double_divide(double_divide(identity, a3), double_divide(identity, identity))),
% 0.81/0.75 inference(monotonicity,[status(thm)],[249, 237])).
% 0.81/0.75 tff(251,plain,
% 0.81/0.75 (double_divide(double_divide(identity, a3), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(double_divide(double_divide(identity, a3), double_divide(identity, identity)), double_divide(identity, a3))), double_divide(identity, identity)), double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, a3), double_divide(identity, identity)), double_divide(identity, a3))))),
% 0.81/0.75 inference(symmetry,[status(thm)],[250])).
% 0.81/0.75 tff(252,plain,
% 0.81/0.75 (double_divide(double_divide(identity, a3), identity) = double_divide(double_divide(identity, a3), double_divide(identity, identity))),
% 0.81/0.75 inference(monotonicity,[status(thm)],[240])).
% 0.81/0.75 tff(253,plain,
% 0.81/0.75 (double_divide(double_divide(identity, a3), identity) = double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(double_divide(double_divide(identity, a3), double_divide(identity, identity)), double_divide(identity, a3))), double_divide(identity, identity)), double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, a3), double_divide(identity, identity)), double_divide(identity, a3))))),
% 0.81/0.75 inference(transitivity,[status(thm)],[252, 251])).
% 0.81/0.75 tff(254,plain,
% 0.81/0.75 (double_divide(identity, identity) = double_divide(identity, double_divide(identity, identity))),
% 0.81/0.75 inference(transitivity,[status(thm)],[88, 87, 57])).
% 0.81/0.75 tff(255,plain,
% 0.81/0.75 (double_divide(double_divide(identity, identity), double_divide(double_divide(identity, a3), identity)) = double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(double_divide(double_divide(identity, a3), double_divide(identity, identity)), double_divide(identity, a3))), double_divide(identity, identity)), double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, a3), double_divide(identity, identity)), double_divide(identity, a3)))))),
% 0.81/0.75 inference(monotonicity,[status(thm)],[254, 253])).
% 0.81/0.75 tff(256,plain,
% 0.81/0.75 (double_divide(double_divide(identity, identity), double_divide(double_divide(identity, a3), identity)) = double_divide(identity, double_divide(identity, double_divide(identity, a3)))),
% 0.81/0.75 inference(transitivity,[status(thm)],[255, 236])).
% 0.81/0.75 tff(257,plain,
% 0.81/0.75 (double_divide(double_divide(double_divide(identity, a3), double_divide(double_divide(identity, a3), identity)), double_divide(identity, identity)) = identity),
% 0.81/0.75 inference(transitivity,[status(thm)],[199, 70])).
% 0.81/0.75 tff(258,plain,
% 0.81/0.75 (double_divide(double_divide(double_divide(double_divide(identity, a3), double_divide(double_divide(identity, a3), identity)), double_divide(identity, identity)), double_divide(double_divide(identity, identity), double_divide(double_divide(identity, a3), identity))) = double_divide(identity, double_divide(identity, double_divide(identity, double_divide(identity, a3))))),
% 0.81/0.75 inference(monotonicity,[status(thm)],[257, 256])).
% 0.81/0.75 tff(259,plain,
% 0.81/0.75 (double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(identity, a3), double_divide(double_divide(identity, a3), identity)), double_divide(identity, identity)), double_divide(double_divide(identity, identity), double_divide(double_divide(identity, a3), identity)))) = double_divide(identity, double_divide(identity, double_divide(identity, double_divide(identity, double_divide(identity, a3)))))),
% 0.81/0.75 inference(monotonicity,[status(thm)],[36, 258])).
% 0.81/0.75 tff(260,plain,
% 0.81/0.75 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)) | (double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(identity, a3), double_divide(double_divide(identity, a3), identity)), double_divide(identity, identity)), double_divide(double_divide(identity, identity), double_divide(double_divide(identity, a3), identity)))) = double_divide(identity, a3))),
% 0.81/0.75 inference(quant_inst,[status(thm)],[])).
% 0.81/0.75 tff(261,plain,
% 0.81/0.75 (double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(identity, a3), double_divide(double_divide(identity, a3), identity)), double_divide(identity, identity)), double_divide(double_divide(identity, identity), double_divide(double_divide(identity, a3), identity)))) = double_divide(identity, a3)),
% 0.81/0.75 inference(unit_resolution,[status(thm)],[260, 47])).
% 0.81/0.75 tff(262,plain,
% 0.81/0.75 (double_divide(identity, a3) = double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(identity, a3), double_divide(double_divide(identity, a3), identity)), double_divide(identity, identity)), double_divide(double_divide(identity, identity), double_divide(double_divide(identity, a3), identity))))),
% 0.81/0.75 inference(symmetry,[status(thm)],[261])).
% 0.81/0.75 tff(263,plain,
% 0.81/0.75 (double_divide(identity, a3) = double_divide(identity, double_divide(identity, double_divide(identity, a3)))),
% 0.81/0.75 inference(transitivity,[status(thm)],[262, 259, 234, 219])).
% 0.81/0.75 tff(264,plain,
% 0.81/0.75 (double_divide(double_divide(identity, a3), double_divide(identity, identity)) = double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, a3)), double_divide(identity, a3)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, a3)), double_divide(identity, a3))))),
% 0.81/0.75 inference(monotonicity,[status(thm)],[263, 217])).
% 0.81/0.75 tff(265,plain,
% 0.81/0.75 (double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, a3)), double_divide(identity, a3)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, a3)), double_divide(identity, a3)))) = double_divide(double_divide(identity, a3), double_divide(identity, identity))),
% 0.81/0.76 inference(symmetry,[status(thm)],[264])).
% 0.81/0.76 tff(266,plain,
% 0.81/0.76 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)) | (double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, a3)), double_divide(identity, a3)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, a3)), double_divide(identity, a3)))) = double_divide(identity, double_divide(identity, a3)))),
% 0.81/0.76 inference(quant_inst,[status(thm)],[])).
% 0.81/0.76 tff(267,plain,
% 0.81/0.76 (double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, a3)), double_divide(identity, a3)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, a3)), double_divide(identity, a3)))) = double_divide(identity, double_divide(identity, a3))),
% 0.81/0.76 inference(unit_resolution,[status(thm)],[266, 47])).
% 0.81/0.76 tff(268,plain,
% 0.81/0.76 (double_divide(identity, double_divide(identity, a3)) = double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, a3)), double_divide(identity, a3)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, a3)), double_divide(identity, a3))))),
% 0.81/0.76 inference(symmetry,[status(thm)],[267])).
% 0.81/0.76 tff(269,plain,
% 0.81/0.76 (double_divide(identity, double_divide(identity, a3)) = a3),
% 0.81/0.76 inference(transitivity,[status(thm)],[268, 265, 183, 172])).
% 0.81/0.76 tff(270,plain,
% 0.81/0.76 (double_divide(b3, double_divide(identity, double_divide(identity, a3))) = double_divide(b3, a3)),
% 0.81/0.76 inference(monotonicity,[status(thm)],[269])).
% 0.81/0.76 tff(271,plain,
% 0.81/0.76 (double_divide(b3, a3) = double_divide(b3, double_divide(identity, double_divide(identity, a3)))),
% 0.81/0.76 inference(symmetry,[status(thm)],[270])).
% 0.81/0.76 tff(272,plain,
% 0.81/0.76 (double_divide(double_divide(b3, a3), identity) = double_divide(double_divide(b3, double_divide(identity, double_divide(identity, a3))), identity)),
% 0.81/0.76 inference(monotonicity,[status(thm)],[271])).
% 0.81/0.76 tff(273,plain,
% 0.81/0.76 (double_divide(double_divide(b3, double_divide(identity, double_divide(identity, a3))), identity) = double_divide(double_divide(b3, a3), identity)),
% 0.81/0.76 inference(symmetry,[status(thm)],[272])).
% 0.81/0.76 tff(274,plain,
% 0.81/0.76 (double_divide(double_divide(b3, double_divide(identity, double_divide(identity, a3))), identity) = inverse(double_divide(b3, a3))),
% 0.81/0.76 inference(transitivity,[status(thm)],[273, 170])).
% 0.81/0.76 tff(275,plain,
% 0.81/0.76 (double_divide(double_divide(b3, a3), double_divide(double_divide(b3, double_divide(identity, double_divide(identity, a3))), identity)) = double_divide(double_divide(b3, a3), inverse(double_divide(b3, a3)))),
% 0.81/0.76 inference(monotonicity,[status(thm)],[274])).
% 0.81/0.76 tff(276,plain,
% 0.81/0.76 (double_divide(double_divide(b3, a3), double_divide(double_divide(b3, double_divide(identity, double_divide(identity, a3))), identity)) = double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity)))),
% 0.81/0.76 inference(transitivity,[status(thm)],[275, 167, 23, 59, 49, 40])).
% 0.81/0.76 tff(277,plain,
% 0.81/0.76 (double_divide(double_divide(b3, a3), double_divide(double_divide(b3, double_divide(identity, double_divide(identity, a3))), identity)) = double_divide(identity, identity)),
% 0.81/0.76 inference(transitivity,[status(thm)],[275, 167, 23, 59, 49])).
% 0.81/0.76 tff(278,plain,
% 0.81/0.76 (double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(b3, double_divide(identity, double_divide(identity, a3))), identity)), double_divide(identity, identity)) = double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity))))),
% 0.81/0.76 inference(monotonicity,[status(thm)],[277, 40])).
% 0.81/0.76 tff(279,plain,
% 0.81/0.76 (double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(b3, double_divide(identity, double_divide(identity, a3))), identity)), double_divide(identity, identity)) = double_divide(identity, identity)),
% 0.81/0.76 inference(transitivity,[status(thm)],[278, 70, 23, 59, 49])).
% 0.81/0.76 tff(280,plain,
% 0.81/0.76 (double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(b3, double_divide(identity, double_divide(identity, a3))), identity)), double_divide(identity, identity)), double_divide(double_divide(b3, a3), double_divide(double_divide(b3, double_divide(identity, double_divide(identity, a3))), identity))) = double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity))))),
% 0.81/0.76 inference(monotonicity,[status(thm)],[279, 276])).
% 0.81/0.76 tff(281,plain,
% 0.81/0.76 (double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(b3, double_divide(identity, double_divide(identity, a3))), identity)), double_divide(identity, identity)), double_divide(double_divide(b3, a3), double_divide(double_divide(b3, double_divide(identity, double_divide(identity, a3))), identity))) = double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(identity, identity), double_divide(b3, a3))))),
% 0.81/0.76 inference(transitivity,[status(thm)],[280, 164])).
% 0.81/0.76 tff(282,plain,
% 0.81/0.76 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)) | (double_divide(double_divide(identity, double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))))) = double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))))),
% 0.81/0.76 inference(quant_inst,[status(thm)],[])).
% 0.81/0.76 tff(283,plain,
% 0.81/0.76 (double_divide(double_divide(identity, double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))))) = double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))))),
% 0.81/0.76 inference(unit_resolution,[status(thm)],[282, 47])).
% 0.81/0.76 tff(284,plain,
% 0.81/0.76 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)) | (double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(identity, identity)))) = double_divide(identity, identity))),
% 0.81/0.76 inference(quant_inst,[status(thm)],[])).
% 0.81/0.76 tff(285,plain,
% 0.81/0.76 (double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(identity, identity)))) = double_divide(identity, identity)),
% 0.81/0.76 inference(unit_resolution,[status(thm)],[284, 47])).
% 0.81/0.76 tff(286,plain,
% 0.81/0.76 (double_divide(identity, identity) = double_divide(double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), identity)))),
% 0.81/0.76 inference(transitivity,[status(thm)],[88, 87, 24, 75, 150])).
% 0.81/0.76 tff(287,plain,
% 0.81/0.76 (double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(identity, identity)) = double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), identity))))),
% 0.81/0.76 inference(monotonicity,[status(thm)],[286])).
% 0.81/0.76 tff(288,plain,
% 0.81/0.76 (double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(identity, identity)) = double_divide(double_divide(identity, identity), double_divide(b3, a3))),
% 0.81/0.76 inference(transitivity,[status(thm)],[287, 155])).
% 0.81/0.76 tff(289,plain,
% 0.81/0.76 (double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(identity, identity))) = double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))),
% 0.81/0.76 inference(monotonicity,[status(thm)],[94, 288])).
% 0.81/0.76 tff(290,plain,
% 0.81/0.76 (double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))) = double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(identity, identity)))),
% 0.81/0.76 inference(symmetry,[status(thm)],[289])).
% 0.81/0.76 tff(291,plain,
% 0.81/0.76 (double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))) = double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(identity, identity))))),
% 0.82/0.76 inference(monotonicity,[status(thm)],[290])).
% 0.82/0.76 tff(292,plain,
% 0.82/0.76 (double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))) = double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity)))),
% 0.82/0.76 inference(transitivity,[status(thm)],[291, 285, 40])).
% 0.82/0.76 tff(293,plain,
% 0.82/0.76 (double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))) = double_divide(identity, identity)),
% 0.82/0.76 inference(transitivity,[status(thm)],[291, 285])).
% 0.82/0.76 tff(294,plain,
% 0.82/0.76 (double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(identity, identity)) = double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity))))),
% 0.82/0.76 inference(monotonicity,[status(thm)],[293, 40])).
% 0.82/0.76 tff(295,plain,
% 0.82/0.76 (double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(identity, identity)) = double_divide(identity, identity)),
% 0.82/0.76 inference(transitivity,[status(thm)],[294, 70, 23, 59, 49])).
% 0.82/0.76 tff(296,plain,
% 0.82/0.76 (double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))))) = double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity))))),
% 0.82/0.76 inference(monotonicity,[status(thm)],[295, 292])).
% 0.82/0.76 tff(297,plain,
% 0.82/0.76 (double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity)))) = double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))))),
% 0.82/0.76 inference(symmetry,[status(thm)],[296])).
% 0.82/0.76 tff(298,plain,
% 0.82/0.76 (double_divide(double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), identity))) = double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))))),
% 0.82/0.76 inference(transitivity,[status(thm)],[149, 297])).
% 0.82/0.76 tff(299,plain,
% 0.82/0.76 (double_divide(double_divide(identity, identity), double_divide(double_divide(identity, identity), double_divide(b3, a3))) = double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))),
% 0.82/0.76 inference(monotonicity,[status(thm)],[89])).
% 0.82/0.76 tff(300,plain,
% 0.82/0.76 (double_divide(double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(identity, identity)) = identity),
% 0.82/0.76 inference(transitivity,[status(thm)],[161, 70])).
% 0.82/0.76 tff(301,plain,
% 0.82/0.76 (double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(identity, identity)), double_divide(double_divide(identity, identity), double_divide(double_divide(identity, identity), double_divide(b3, a3)))) = double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))))),
% 0.82/0.76 inference(monotonicity,[status(thm)],[300, 299])).
% 0.82/0.76 tff(302,plain,
% 0.82/0.76 (double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))) = double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(identity, identity)), double_divide(double_divide(identity, identity), double_divide(double_divide(identity, identity), double_divide(b3, a3))))),
% 0.82/0.76 inference(symmetry,[status(thm)],[301])).
% 0.82/0.76 tff(303,plain,
% 0.82/0.76 (double_divide(identity, double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))))) = double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(identity, identity)), double_divide(double_divide(identity, identity), double_divide(double_divide(identity, identity), double_divide(b3, a3)))))),
% 0.82/0.76 inference(monotonicity,[status(thm)],[58, 302])).
% 0.82/0.76 tff(304,plain,
% 0.82/0.76 (double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(identity, identity)), double_divide(double_divide(identity, identity), double_divide(double_divide(identity, identity), double_divide(b3, a3))))) = double_divide(identity, double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))))),
% 0.82/0.77 inference(symmetry,[status(thm)],[303])).
% 0.82/0.77 tff(305,plain,
% 0.82/0.77 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)) | (double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(identity, identity)), double_divide(double_divide(identity, identity), double_divide(double_divide(identity, identity), double_divide(b3, a3))))) = double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))))),
% 0.82/0.77 inference(quant_inst,[status(thm)],[])).
% 0.82/0.77 tff(306,plain,
% 0.82/0.77 (double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(identity, identity)), double_divide(double_divide(identity, identity), double_divide(double_divide(identity, identity), double_divide(b3, a3))))) = double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))),
% 0.82/0.77 inference(unit_resolution,[status(thm)],[305, 47])).
% 0.82/0.77 tff(307,plain,
% 0.82/0.77 (double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))) = double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(identity, identity)), double_divide(double_divide(identity, identity), double_divide(double_divide(identity, identity), double_divide(b3, a3)))))),
% 0.82/0.77 inference(symmetry,[status(thm)],[306])).
% 0.82/0.77 tff(308,plain,
% 0.82/0.77 (double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))) = double_divide(identity, double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))))),
% 0.82/0.77 inference(transitivity,[status(thm)],[307, 304])).
% 0.82/0.77 tff(309,plain,
% 0.82/0.77 (double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), identity)))) = double_divide(double_divide(identity, double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))))))),
% 0.82/0.77 inference(monotonicity,[status(thm)],[308, 298])).
% 0.82/0.77 tff(310,plain,
% 0.82/0.77 (double_divide(identity, double_divide(b3, a3)) = double_divide(double_divide(identity, identity), double_divide(b3, a3))),
% 0.82/0.77 inference(monotonicity,[status(thm)],[240])).
% 0.82/0.77 tff(311,plain,
% 0.82/0.77 (double_divide(identity, double_divide(b3, a3)) = double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))))),
% 0.82/0.77 inference(transitivity,[status(thm)],[310, 156, 309, 283])).
% 0.82/0.77 tff(312,plain,
% 0.82/0.77 (double_divide(double_divide(identity, double_divide(b3, a3)), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(b3, double_divide(identity, double_divide(identity, a3))), identity)), double_divide(identity, identity)), double_divide(double_divide(b3, a3), double_divide(double_divide(b3, double_divide(identity, double_divide(identity, a3))), identity)))) = double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(identity, identity), double_divide(b3, a3)))))),
% 0.82/0.77 inference(monotonicity,[status(thm)],[311, 281])).
% 0.82/0.77 tff(313,plain,
% 0.82/0.77 (double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(identity, identity), double_divide(b3, a3))))) = double_divide(double_divide(identity, double_divide(b3, a3)), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(b3, double_divide(identity, double_divide(identity, a3))), identity)), double_divide(identity, identity)), double_divide(double_divide(b3, a3), double_divide(double_divide(b3, double_divide(identity, double_divide(identity, a3))), identity))))),
% 0.82/0.77 inference(symmetry,[status(thm)],[312])).
% 0.82/0.77 tff(314,plain,
% 0.82/0.77 (double_divide(identity, identity) = double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(identity, identity), double_divide(b3, a3))))),
% 0.82/0.77 inference(transitivity,[status(thm)],[88, 87, 24, 75, 164])).
% 0.82/0.77 tff(315,plain,
% 0.82/0.77 (double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(identity, identity)) = double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(identity, identity), double_divide(b3, a3)))))),
% 0.82/0.77 inference(monotonicity,[status(thm)],[314])).
% 0.82/0.77 tff(316,plain,
% 0.82/0.77 (double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(identity, identity)) = double_divide(b3, a3)),
% 0.82/0.77 inference(transitivity,[status(thm)],[315, 313, 131])).
% 0.82/0.77 tff(317,plain,
% 0.82/0.77 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)) | (double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)))) = double_divide(double_divide(double_divide(c3, b3), identity), a3))),
% 0.82/0.77 inference(quant_inst,[status(thm)],[])).
% 0.82/0.77 tff(318,plain,
% 0.82/0.77 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)))) = double_divide(double_divide(double_divide(c3, b3), identity), a3)),
% 0.82/0.77 inference(unit_resolution,[status(thm)],[317, 47])).
% 0.82/0.77 tff(319,plain,
% 0.82/0.77 (double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)) = double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity)))),
% 0.82/0.77 inference(transitivity,[status(thm)],[111, 107, 23, 59, 49, 40])).
% 0.82/0.77 tff(320,plain,
% 0.82/0.77 (double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)), double_divide(identity, identity)) = double_divide(identity, identity)),
% 0.82/0.77 inference(transitivity,[status(thm)],[113, 70, 23, 59, 49])).
% 0.82/0.77 tff(321,plain,
% 0.82/0.77 (double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))) = double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity))))),
% 0.82/0.77 inference(monotonicity,[status(thm)],[320, 319])).
% 0.82/0.77 tff(322,plain,
% 0.82/0.77 (double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity)))) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)))),
% 0.82/0.77 inference(symmetry,[status(thm)],[321])).
% 0.82/0.77 tff(323,plain,
% 0.82/0.77 (double_divide(identity, identity) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)))),
% 0.82/0.77 inference(transitivity,[status(thm)],[88, 87, 24, 75, 322])).
% 0.82/0.77 tff(324,plain,
% 0.82/0.77 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)), double_divide(identity, identity)) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))))),
% 0.82/0.77 inference(monotonicity,[status(thm)],[323])).
% 0.82/0.77 tff(325,plain,
% 0.82/0.77 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)), double_divide(identity, identity)) = double_divide(double_divide(double_divide(c3, b3), identity), a3)),
% 0.82/0.77 inference(transitivity,[status(thm)],[324, 318])).
% 0.82/0.77 tff(326,plain,
% 0.82/0.77 (double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)), double_divide(identity, identity)), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)),
% 0.82/0.77 inference(monotonicity,[status(thm)],[325, 89])).
% 0.82/0.77 tff(327,plain,
% 0.82/0.77 (double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(identity, identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity), double_divide(b3, a3))),
% 0.82/0.77 inference(monotonicity,[status(thm)],[326, 316])).
% 0.82/0.77 tff(328,plain,
% 0.82/0.77 (double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity), double_divide(b3, a3)) = double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(identity, identity)))),
% 0.82/0.77 inference(symmetry,[status(thm)],[327])).
% 0.82/0.77 tff(329,plain,
% 0.82/0.77 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)) | (double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(identity, identity), double_divide(b3, a3))))) = double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))))),
% 0.82/0.77 inference(quant_inst,[status(thm)],[])).
% 0.82/0.77 tff(330,plain,
% 0.82/0.77 (double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(identity, identity), double_divide(b3, a3))))) = double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))),
% 0.82/0.77 inference(unit_resolution,[status(thm)],[329, 47])).
% 0.82/0.77 tff(331,plain,
% 0.82/0.77 (double_divide(double_divide(identity, identity), double_divide(b3, a3)) = double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))))),
% 0.82/0.77 inference(transitivity,[status(thm)],[156, 309, 283])).
% 0.82/0.77 tff(332,plain,
% 0.82/0.77 (double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(identity, identity)) = double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(identity, identity), double_divide(b3, a3)))))),
% 0.82/0.77 inference(monotonicity,[status(thm)],[331, 314])).
% 0.82/0.77 tff(333,plain,
% 0.82/0.77 (double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(identity, identity)) = double_divide(identity, double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))))),
% 0.82/0.77 inference(transitivity,[status(thm)],[332, 330, 307, 304])).
% 0.82/0.77 tff(334,plain,
% 0.82/0.77 (double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity), double_divide(b3, a3))) = double_divide(double_divide(identity, double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(identity, identity))))),
% 0.82/0.77 inference(monotonicity,[status(thm)],[333, 328])).
% 0.82/0.77 tff(335,plain,
% 0.82/0.77 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)) | (double_divide(double_divide(identity, b3), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(identity, double_divide(identity, a3))), double_divide(identity, identity)), double_divide(b3, double_divide(identity, double_divide(identity, a3))))) = double_divide(identity, double_divide(identity, double_divide(identity, a3))))),
% 0.82/0.77 inference(quant_inst,[status(thm)],[])).
% 0.82/0.77 tff(336,plain,
% 0.82/0.77 (double_divide(double_divide(identity, b3), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(identity, double_divide(identity, a3))), double_divide(identity, identity)), double_divide(b3, double_divide(identity, double_divide(identity, a3))))) = double_divide(identity, double_divide(identity, double_divide(identity, a3)))),
% 0.82/0.77 inference(unit_resolution,[status(thm)],[335, 47])).
% 0.82/0.77 tff(337,plain,
% 0.82/0.77 (double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(identity, double_divide(identity, a3))), double_divide(identity, identity)) = double_divide(identity, identity)),
% 0.82/0.77 inference(transitivity,[status(thm)],[230, 70, 23, 59, 49])).
% 0.82/0.77 tff(338,plain,
% 0.82/0.77 (double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(identity, double_divide(identity, a3))), double_divide(identity, identity)), double_divide(b3, double_divide(identity, double_divide(identity, a3)))) = double_divide(double_divide(identity, identity), double_divide(b3, a3))),
% 0.82/0.77 inference(monotonicity,[status(thm)],[337, 270])).
% 0.82/0.77 tff(339,plain,
% 0.82/0.77 (double_divide(double_divide(identity, identity), double_divide(b3, a3)) = double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(identity, double_divide(identity, a3))), double_divide(identity, identity)), double_divide(b3, double_divide(identity, double_divide(identity, a3))))),
% 0.82/0.77 inference(symmetry,[status(thm)],[338])).
% 0.82/0.77 tff(340,plain,
% 0.82/0.77 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)) | (double_divide(double_divide(identity, double_divide(identity, b3)), double_divide(double_divide(double_divide(double_divide(identity, b3), double_divide(double_divide(double_divide(double_divide(identity, c3), double_divide(double_divide(c3, b3), identity)), double_divide(identity, identity)), double_divide(b3, double_divide(double_divide(c3, b3), identity)))), double_divide(identity, identity)), double_divide(double_divide(identity, b3), double_divide(double_divide(double_divide(double_divide(identity, c3), double_divide(double_divide(c3, b3), identity)), double_divide(identity, identity)), double_divide(b3, double_divide(double_divide(c3, b3), identity)))))) = double_divide(identity, b3))),
% 0.82/0.77 inference(quant_inst,[status(thm)],[])).
% 0.82/0.77 tff(341,plain,
% 0.82/0.77 (double_divide(double_divide(identity, double_divide(identity, b3)), double_divide(double_divide(double_divide(double_divide(identity, b3), double_divide(double_divide(double_divide(double_divide(identity, c3), double_divide(double_divide(c3, b3), identity)), double_divide(identity, identity)), double_divide(b3, double_divide(double_divide(c3, b3), identity)))), double_divide(identity, identity)), double_divide(double_divide(identity, b3), double_divide(double_divide(double_divide(double_divide(identity, c3), double_divide(double_divide(c3, b3), identity)), double_divide(identity, identity)), double_divide(b3, double_divide(double_divide(c3, b3), identity)))))) = double_divide(identity, b3)),
% 0.82/0.77 inference(unit_resolution,[status(thm)],[340, 47])).
% 0.82/0.77 tff(342,plain,
% 0.82/0.77 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)) | (double_divide(double_divide(identity, double_divide(identity, double_divide(identity, b3))), double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, b3)), double_divide(identity, identity)))) = double_divide(identity, identity))),
% 0.82/0.77 inference(quant_inst,[status(thm)],[])).
% 0.82/0.77 tff(343,plain,
% 0.82/0.77 (double_divide(double_divide(identity, double_divide(identity, double_divide(identity, b3))), double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, b3)), double_divide(identity, identity)))) = double_divide(identity, identity)),
% 0.82/0.77 inference(unit_resolution,[status(thm)],[342, 47])).
% 0.82/0.77 tff(344,plain,
% 0.82/0.77 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)) | (double_divide(double_divide(identity, c3), double_divide(double_divide(double_divide(c3, b3), double_divide(identity, identity)), double_divide(c3, b3))) = c3)),
% 0.82/0.77 inference(quant_inst,[status(thm)],[])).
% 0.82/0.77 tff(345,plain,
% 0.82/0.77 (double_divide(double_divide(identity, c3), double_divide(double_divide(double_divide(c3, b3), double_divide(identity, identity)), double_divide(c3, b3))) = c3),
% 0.82/0.78 inference(unit_resolution,[status(thm)],[344, 47])).
% 0.82/0.78 tff(346,plain,
% 0.82/0.78 ((~![X: $i] : (inverse(X) = double_divide(X, identity))) | (inverse(multiply(b3, c3)) = double_divide(multiply(b3, c3), identity))),
% 0.82/0.78 inference(quant_inst,[status(thm)],[])).
% 0.82/0.78 tff(347,plain,
% 0.82/0.78 (inverse(multiply(b3, c3)) = double_divide(multiply(b3, c3), identity)),
% 0.82/0.78 inference(unit_resolution,[status(thm)],[346, 31])).
% 0.82/0.78 tff(348,plain,
% 0.82/0.78 (double_divide(multiply(b3, c3), identity) = inverse(multiply(b3, c3))),
% 0.82/0.78 inference(symmetry,[status(thm)],[347])).
% 0.82/0.78 tff(349,plain,
% 0.82/0.78 ((~![X: $i] : (identity = double_divide(X, inverse(X)))) | (identity = double_divide(double_divide(c3, b3), inverse(double_divide(c3, b3))))),
% 0.82/0.78 inference(quant_inst,[status(thm)],[])).
% 0.82/0.78 tff(350,plain,
% 0.82/0.78 (identity = double_divide(double_divide(c3, b3), inverse(double_divide(c3, b3)))),
% 0.82/0.78 inference(unit_resolution,[status(thm)],[349, 21])).
% 0.82/0.78 tff(351,plain,
% 0.82/0.78 (double_divide(double_divide(c3, b3), inverse(double_divide(c3, b3))) = identity),
% 0.82/0.78 inference(symmetry,[status(thm)],[350])).
% 0.82/0.78 tff(352,plain,
% 0.82/0.78 ((~![X: $i] : (inverse(X) = double_divide(X, identity))) | (inverse(double_divide(c3, b3)) = double_divide(double_divide(c3, b3), identity))),
% 0.82/0.78 inference(quant_inst,[status(thm)],[])).
% 0.82/0.78 tff(353,plain,
% 0.82/0.78 (inverse(double_divide(c3, b3)) = double_divide(double_divide(c3, b3), identity)),
% 0.82/0.78 inference(unit_resolution,[status(thm)],[352, 31])).
% 0.82/0.78 tff(354,plain,
% 0.82/0.78 (double_divide(double_divide(c3, b3), identity) = inverse(double_divide(c3, b3))),
% 0.82/0.78 inference(symmetry,[status(thm)],[353])).
% 0.82/0.78 tff(355,plain,
% 0.82/0.78 (double_divide(double_divide(c3, b3), double_divide(double_divide(c3, b3), identity)) = double_divide(double_divide(c3, b3), inverse(double_divide(c3, b3)))),
% 0.82/0.78 inference(monotonicity,[status(thm)],[354])).
% 0.82/0.78 tff(356,plain,
% 0.82/0.78 (double_divide(double_divide(c3, b3), double_divide(double_divide(c3, b3), identity)) = double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity)))),
% 0.82/0.78 inference(transitivity,[status(thm)],[355, 351, 23, 59, 49, 40])).
% 0.82/0.78 tff(357,plain,
% 0.82/0.78 (double_divide(double_divide(c3, b3), double_divide(double_divide(c3, b3), identity)) = double_divide(identity, identity)),
% 0.82/0.78 inference(transitivity,[status(thm)],[355, 351, 23, 59, 49])).
% 0.82/0.78 tff(358,plain,
% 0.82/0.78 (double_divide(double_divide(double_divide(c3, b3), double_divide(double_divide(c3, b3), identity)), double_divide(identity, identity)) = double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity))))),
% 0.82/0.78 inference(monotonicity,[status(thm)],[357, 40])).
% 0.82/0.78 tff(359,plain,
% 0.82/0.78 (double_divide(double_divide(double_divide(c3, b3), double_divide(double_divide(c3, b3), identity)), double_divide(identity, identity)) = double_divide(identity, identity)),
% 0.82/0.78 inference(transitivity,[status(thm)],[358, 70, 23, 59, 49])).
% 0.82/0.78 tff(360,plain,
% 0.82/0.78 (double_divide(double_divide(double_divide(double_divide(c3, b3), double_divide(double_divide(c3, b3), identity)), double_divide(identity, identity)), double_divide(double_divide(c3, b3), double_divide(double_divide(c3, b3), identity))) = double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity))))),
% 0.82/0.78 inference(monotonicity,[status(thm)],[359, 356])).
% 0.82/0.78 tff(361,plain,
% 0.82/0.78 (double_divide(double_divide(double_divide(double_divide(c3, b3), double_divide(double_divide(c3, b3), identity)), double_divide(identity, identity)), double_divide(double_divide(c3, b3), double_divide(double_divide(c3, b3), identity))) = identity),
% 0.82/0.78 inference(transitivity,[status(thm)],[360, 70])).
% 0.82/0.78 tff(362,plain,
% 0.82/0.78 (double_divide(double_divide(c3, b3), identity) = multiply(b3, c3)),
% 0.82/0.78 inference(symmetry,[status(thm)],[9])).
% 0.82/0.78 tff(363,plain,
% 0.82/0.78 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)) | (double_divide(double_divide(identity, double_divide(double_divide(c3, b3), identity)), double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), double_divide(multiply(b3, c3), identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(c3, b3), identity), double_divide(multiply(b3, c3), identity)))) = double_divide(double_divide(c3, b3), identity))),
% 0.82/0.78 inference(quant_inst,[status(thm)],[])).
% 0.82/0.78 tff(364,plain,
% 0.82/0.78 (double_divide(double_divide(identity, double_divide(double_divide(c3, b3), identity)), double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), double_divide(multiply(b3, c3), identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(c3, b3), identity), double_divide(multiply(b3, c3), identity)))) = double_divide(double_divide(c3, b3), identity)),
% 0.82/0.78 inference(unit_resolution,[status(thm)],[363, 47])).
% 0.82/0.78 tff(365,plain,
% 0.82/0.78 ((~![X: $i] : (identity = double_divide(X, inverse(X)))) | (identity = double_divide(multiply(b3, c3), inverse(multiply(b3, c3))))),
% 0.82/0.78 inference(quant_inst,[status(thm)],[])).
% 0.82/0.78 tff(366,plain,
% 0.82/0.78 (identity = double_divide(multiply(b3, c3), inverse(multiply(b3, c3)))),
% 0.82/0.78 inference(unit_resolution,[status(thm)],[365, 21])).
% 0.82/0.78 tff(367,plain,
% 0.82/0.78 (double_divide(multiply(b3, c3), inverse(multiply(b3, c3))) = identity),
% 0.82/0.78 inference(symmetry,[status(thm)],[366])).
% 0.82/0.78 tff(368,plain,
% 0.82/0.78 (double_divide(double_divide(double_divide(c3, b3), identity), double_divide(multiply(b3, c3), identity)) = double_divide(multiply(b3, c3), inverse(multiply(b3, c3)))),
% 0.82/0.78 inference(monotonicity,[status(thm)],[362, 348])).
% 0.82/0.78 tff(369,plain,
% 0.82/0.78 (double_divide(double_divide(double_divide(c3, b3), identity), double_divide(multiply(b3, c3), identity)) = identity),
% 0.82/0.78 inference(transitivity,[status(thm)],[368, 367])).
% 0.82/0.78 tff(370,plain,
% 0.82/0.78 (double_divide(double_divide(double_divide(double_divide(c3, b3), identity), double_divide(multiply(b3, c3), identity)), double_divide(identity, identity)) = double_divide(identity, inverse(identity))),
% 0.82/0.78 inference(monotonicity,[status(thm)],[369, 34])).
% 0.82/0.78 tff(371,plain,
% 0.82/0.78 (double_divide(double_divide(double_divide(double_divide(c3, b3), identity), double_divide(multiply(b3, c3), identity)), double_divide(identity, identity)) = identity),
% 0.82/0.78 inference(transitivity,[status(thm)],[370, 24])).
% 0.82/0.78 tff(372,plain,
% 0.82/0.78 (double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), double_divide(multiply(b3, c3), identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(c3, b3), identity), double_divide(multiply(b3, c3), identity))) = double_divide(identity, identity)),
% 0.82/0.78 inference(monotonicity,[status(thm)],[371, 369])).
% 0.82/0.78 tff(373,plain,
% 0.82/0.78 (double_divide(identity, identity) = double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), double_divide(multiply(b3, c3), identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(c3, b3), identity), double_divide(multiply(b3, c3), identity)))),
% 0.82/0.78 inference(symmetry,[status(thm)],[372])).
% 0.82/0.78 tff(374,plain,
% 0.82/0.78 (double_divide(double_divide(double_divide(c3, b3), identity), double_divide(identity, identity)) = double_divide(multiply(b3, c3), identity)),
% 0.82/0.78 inference(monotonicity,[status(thm)],[362, 89])).
% 0.82/0.78 tff(375,plain,
% 0.82/0.78 (double_divide(double_divide(double_divide(c3, b3), identity), double_divide(identity, identity)) = inverse(multiply(b3, c3))),
% 0.82/0.78 inference(transitivity,[status(thm)],[374, 348])).
% 0.82/0.78 tff(376,plain,
% 0.82/0.78 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)) | (double_divide(double_divide(identity, double_divide(c3, b3)), double_divide(double_divide(double_divide(double_divide(c3, b3), double_divide(double_divide(c3, b3), identity)), double_divide(identity, identity)), double_divide(double_divide(c3, b3), double_divide(double_divide(c3, b3), identity)))) = double_divide(c3, b3))),
% 0.82/0.78 inference(quant_inst,[status(thm)],[])).
% 0.82/0.78 tff(377,plain,
% 0.82/0.78 (double_divide(double_divide(identity, double_divide(c3, b3)), double_divide(double_divide(double_divide(double_divide(c3, b3), double_divide(double_divide(c3, b3), identity)), double_divide(identity, identity)), double_divide(double_divide(c3, b3), double_divide(double_divide(c3, b3), identity)))) = double_divide(c3, b3)),
% 0.82/0.78 inference(unit_resolution,[status(thm)],[376, 47])).
% 0.82/0.78 tff(378,plain,
% 0.82/0.78 (double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity)))) = double_divide(double_divide(double_divide(double_divide(c3, b3), double_divide(double_divide(c3, b3), identity)), double_divide(identity, identity)), double_divide(double_divide(c3, b3), double_divide(double_divide(c3, b3), identity)))),
% 0.82/0.78 inference(symmetry,[status(thm)],[360])).
% 0.82/0.78 tff(379,plain,
% 0.82/0.78 (double_divide(identity, identity) = double_divide(double_divide(double_divide(double_divide(c3, b3), double_divide(double_divide(c3, b3), identity)), double_divide(identity, identity)), double_divide(double_divide(c3, b3), double_divide(double_divide(c3, b3), identity)))),
% 0.82/0.78 inference(transitivity,[status(thm)],[88, 87, 24, 75, 378])).
% 0.82/0.78 tff(380,plain,
% 0.82/0.78 (double_divide(double_divide(identity, double_divide(c3, b3)), double_divide(identity, identity)) = double_divide(double_divide(identity, double_divide(c3, b3)), double_divide(double_divide(double_divide(double_divide(c3, b3), double_divide(double_divide(c3, b3), identity)), double_divide(identity, identity)), double_divide(double_divide(c3, b3), double_divide(double_divide(c3, b3), identity))))),
% 0.82/0.78 inference(monotonicity,[status(thm)],[379])).
% 0.82/0.78 tff(381,plain,
% 0.82/0.78 (double_divide(double_divide(identity, double_divide(c3, b3)), double_divide(identity, identity)) = double_divide(c3, b3)),
% 0.82/0.78 inference(transitivity,[status(thm)],[380, 377])).
% 0.82/0.78 tff(382,plain,
% 0.82/0.78 (double_divide(double_divide(double_divide(identity, double_divide(c3, b3)), double_divide(identity, identity)), double_divide(identity, identity)) = double_divide(double_divide(c3, b3), identity)),
% 0.82/0.78 inference(monotonicity,[status(thm)],[381, 89])).
% 0.82/0.78 tff(383,plain,
% 0.82/0.78 (double_divide(double_divide(double_divide(identity, double_divide(c3, b3)), double_divide(identity, identity)), double_divide(identity, identity)) = multiply(b3, c3)),
% 0.82/0.78 inference(transitivity,[status(thm)],[382, 362])).
% 0.82/0.78 tff(384,plain,
% 0.82/0.78 (double_divide(double_divide(double_divide(double_divide(identity, double_divide(c3, b3)), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(c3, b3), identity), double_divide(identity, identity))) = double_divide(multiply(b3, c3), inverse(multiply(b3, c3)))),
% 0.82/0.78 inference(monotonicity,[status(thm)],[383, 375])).
% 0.82/0.78 tff(385,plain,
% 0.82/0.78 (double_divide(double_divide(double_divide(double_divide(identity, double_divide(c3, b3)), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(c3, b3), identity), double_divide(identity, identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), double_divide(multiply(b3, c3), identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(c3, b3), identity), double_divide(multiply(b3, c3), identity)))),
% 0.82/0.78 inference(transitivity,[status(thm)],[384, 367, 23, 59, 49, 373])).
% 0.82/0.78 tff(386,plain,
% 0.82/0.78 (double_divide(double_divide(identity, double_divide(double_divide(c3, b3), identity)), double_divide(double_divide(double_divide(double_divide(identity, double_divide(c3, b3)), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(c3, b3), identity), double_divide(identity, identity)))) = double_divide(double_divide(identity, double_divide(double_divide(c3, b3), identity)), double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), double_divide(multiply(b3, c3), identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(c3, b3), identity), double_divide(multiply(b3, c3), identity))))),
% 0.82/0.78 inference(monotonicity,[status(thm)],[385])).
% 0.82/0.78 tff(387,plain,
% 0.82/0.78 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)) | (double_divide(double_divide(identity, double_divide(double_divide(c3, b3), identity)), double_divide(double_divide(double_divide(double_divide(identity, double_divide(c3, b3)), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(c3, b3), identity), double_divide(identity, identity)))) = double_divide(identity, double_divide(c3, b3)))),
% 0.82/0.78 inference(quant_inst,[status(thm)],[])).
% 0.82/0.78 tff(388,plain,
% 0.82/0.78 (double_divide(double_divide(identity, double_divide(double_divide(c3, b3), identity)), double_divide(double_divide(double_divide(double_divide(identity, double_divide(c3, b3)), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(c3, b3), identity), double_divide(identity, identity)))) = double_divide(identity, double_divide(c3, b3))),
% 0.82/0.78 inference(unit_resolution,[status(thm)],[387, 47])).
% 0.82/0.78 tff(389,plain,
% 0.82/0.78 (double_divide(identity, double_divide(c3, b3)) = double_divide(double_divide(identity, double_divide(double_divide(c3, b3), identity)), double_divide(double_divide(double_divide(double_divide(identity, double_divide(c3, b3)), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(c3, b3), identity), double_divide(identity, identity))))),
% 0.82/0.78 inference(symmetry,[status(thm)],[388])).
% 0.82/0.78 tff(390,plain,
% 0.82/0.78 (double_divide(identity, double_divide(c3, b3)) = multiply(b3, c3)),
% 0.82/0.78 inference(transitivity,[status(thm)],[389, 386, 364, 362])).
% 0.82/0.78 tff(391,plain,
% 0.82/0.78 (double_divide(double_divide(identity, double_divide(c3, b3)), double_divide(double_divide(double_divide(double_divide(c3, b3), double_divide(double_divide(c3, b3), identity)), double_divide(identity, identity)), double_divide(double_divide(c3, b3), double_divide(double_divide(c3, b3), identity)))) = double_divide(multiply(b3, c3), identity)),
% 0.82/0.78 inference(monotonicity,[status(thm)],[390, 361])).
% 0.82/0.78 tff(392,plain,
% 0.82/0.78 (double_divide(c3, b3) = double_divide(double_divide(identity, double_divide(c3, b3)), double_divide(double_divide(double_divide(double_divide(c3, b3), double_divide(double_divide(c3, b3), identity)), double_divide(identity, identity)), double_divide(double_divide(c3, b3), double_divide(double_divide(c3, b3), identity))))),
% 0.82/0.78 inference(symmetry,[status(thm)],[377])).
% 0.82/0.78 tff(393,plain,
% 0.82/0.78 (double_divide(c3, b3) = inverse(multiply(b3, c3))),
% 0.82/0.78 inference(transitivity,[status(thm)],[392, 391, 348])).
% 0.82/0.78 tff(394,plain,
% 0.82/0.78 (double_divide(double_divide(c3, b3), double_divide(identity, identity)) = double_divide(double_divide(c3, b3), identity)),
% 0.82/0.78 inference(monotonicity,[status(thm)],[89])).
% 0.82/0.78 tff(395,plain,
% 0.82/0.78 (double_divide(double_divide(c3, b3), double_divide(identity, identity)) = multiply(b3, c3)),
% 0.82/0.78 inference(transitivity,[status(thm)],[394, 362])).
% 0.82/0.78 tff(396,plain,
% 0.82/0.78 (double_divide(double_divide(double_divide(c3, b3), double_divide(identity, identity)), double_divide(c3, b3)) = double_divide(multiply(b3, c3), inverse(multiply(b3, c3)))),
% 0.82/0.78 inference(monotonicity,[status(thm)],[395, 393])).
% 0.82/0.78 tff(397,plain,
% 0.82/0.78 (double_divide(multiply(b3, c3), inverse(multiply(b3, c3))) = double_divide(double_divide(double_divide(c3, b3), double_divide(identity, identity)), double_divide(c3, b3))),
% 0.82/0.78 inference(symmetry,[status(thm)],[396])).
% 0.82/0.78 tff(398,plain,
% 0.82/0.78 (double_divide(identity, identity) = double_divide(double_divide(double_divide(c3, b3), double_divide(identity, identity)), double_divide(c3, b3))),
% 0.82/0.78 inference(transitivity,[status(thm)],[88, 87, 24, 366, 397])).
% 0.82/0.78 tff(399,plain,
% 0.82/0.78 (double_divide(double_divide(identity, c3), double_divide(identity, identity)) = double_divide(double_divide(identity, c3), double_divide(double_divide(double_divide(c3, b3), double_divide(identity, identity)), double_divide(c3, b3)))),
% 0.82/0.78 inference(monotonicity,[status(thm)],[398])).
% 0.82/0.78 tff(400,plain,
% 0.82/0.78 (double_divide(double_divide(identity, c3), double_divide(identity, identity)) = c3),
% 0.82/0.78 inference(transitivity,[status(thm)],[399, 345])).
% 0.82/0.78 tff(401,plain,
% 0.82/0.78 (double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, c3), double_divide(identity, identity))) = double_divide(identity, c3)),
% 0.82/0.78 inference(monotonicity,[status(thm)],[94, 400])).
% 0.82/0.78 tff(402,plain,
% 0.82/0.78 (double_divide(identity, c3) = double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, c3), double_divide(identity, identity)))),
% 0.82/0.78 inference(symmetry,[status(thm)],[401])).
% 0.82/0.78 tff(403,plain,
% 0.82/0.78 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)) | (double_divide(double_divide(identity, b3), double_divide(double_divide(double_divide(double_divide(identity, c3), double_divide(double_divide(c3, b3), identity)), double_divide(identity, identity)), double_divide(b3, double_divide(double_divide(c3, b3), identity)))) = double_divide(identity, c3))),
% 0.82/0.78 inference(quant_inst,[status(thm)],[])).
% 0.82/0.78 tff(404,plain,
% 0.82/0.78 (double_divide(double_divide(identity, b3), double_divide(double_divide(double_divide(double_divide(identity, c3), double_divide(double_divide(c3, b3), identity)), double_divide(identity, identity)), double_divide(b3, double_divide(double_divide(c3, b3), identity)))) = double_divide(identity, c3)),
% 0.82/0.78 inference(unit_resolution,[status(thm)],[403, 47])).
% 0.82/0.78 tff(405,plain,
% 0.82/0.78 (double_divide(double_divide(identity, b3), double_divide(double_divide(double_divide(double_divide(identity, c3), double_divide(double_divide(c3, b3), identity)), double_divide(identity, identity)), double_divide(b3, double_divide(double_divide(c3, b3), identity)))) = double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, c3), double_divide(identity, identity)))),
% 0.82/0.78 inference(transitivity,[status(thm)],[404, 402])).
% 0.82/0.78 tff(406,plain,
% 0.82/0.78 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)) | (double_divide(double_divide(identity, double_divide(identity, double_divide(identity, c3))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), double_divide(identity, c3)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, c3)), double_divide(identity, c3)))) = double_divide(identity, double_divide(identity, c3)))),
% 0.82/0.78 inference(quant_inst,[status(thm)],[])).
% 0.82/0.78 tff(407,plain,
% 0.82/0.78 (double_divide(double_divide(identity, double_divide(identity, double_divide(identity, c3))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), double_divide(identity, c3)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, c3)), double_divide(identity, c3)))) = double_divide(identity, double_divide(identity, c3))),
% 0.82/0.78 inference(unit_resolution,[status(thm)],[406, 47])).
% 0.82/0.78 tff(408,plain,
% 0.82/0.78 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)) | (double_divide(double_divide(identity, double_divide(identity, c3)), double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, c3), double_divide(identity, identity)))) = double_divide(identity, identity))),
% 0.82/0.79 inference(quant_inst,[status(thm)],[])).
% 0.82/0.79 tff(409,plain,
% 0.82/0.79 (double_divide(double_divide(identity, double_divide(identity, c3)), double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, c3), double_divide(identity, identity)))) = double_divide(identity, identity)),
% 0.82/0.79 inference(unit_resolution,[status(thm)],[408, 47])).
% 0.82/0.79 tff(410,plain,
% 0.82/0.79 (double_divide(double_divide(identity, double_divide(identity, c3)), double_divide(identity, c3)) = double_divide(double_divide(identity, double_divide(identity, c3)), double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, c3), double_divide(identity, identity))))),
% 0.82/0.79 inference(monotonicity,[status(thm)],[402])).
% 0.82/0.79 tff(411,plain,
% 0.82/0.79 (double_divide(double_divide(identity, double_divide(identity, c3)), double_divide(identity, c3)) = double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity)))),
% 0.82/0.79 inference(transitivity,[status(thm)],[410, 409, 40])).
% 0.82/0.79 tff(412,plain,
% 0.82/0.79 (double_divide(double_divide(identity, double_divide(identity, c3)), double_divide(identity, c3)) = double_divide(identity, identity)),
% 0.82/0.79 inference(transitivity,[status(thm)],[410, 409])).
% 0.82/0.79 tff(413,plain,
% 0.82/0.79 (double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), double_divide(identity, c3)), double_divide(identity, identity)) = double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity))))),
% 0.82/0.79 inference(monotonicity,[status(thm)],[412, 40])).
% 0.82/0.79 tff(414,plain,
% 0.82/0.79 (double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), double_divide(identity, c3)), double_divide(identity, identity)) = double_divide(identity, identity)),
% 0.82/0.79 inference(transitivity,[status(thm)],[413, 70, 23, 59, 49])).
% 0.82/0.79 tff(415,plain,
% 0.82/0.79 (double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), double_divide(identity, c3)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, c3)), double_divide(identity, c3))) = double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity))))),
% 0.82/0.79 inference(monotonicity,[status(thm)],[414, 411])).
% 0.82/0.79 tff(416,plain,
% 0.82/0.79 (double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity)))) = double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), double_divide(identity, c3)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, c3)), double_divide(identity, c3)))),
% 0.82/0.79 inference(symmetry,[status(thm)],[415])).
% 0.82/0.79 tff(417,plain,
% 0.82/0.79 (double_divide(double_divide(double_divide(c3, b3), double_divide(identity, identity)), double_divide(c3, b3)) = double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), double_divide(identity, c3)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, c3)), double_divide(identity, c3)))),
% 0.82/0.79 inference(transitivity,[status(thm)],[396, 367, 75, 416])).
% 0.82/0.79 tff(418,plain,
% 0.82/0.79 (double_divide(double_divide(identity, identity), c3) = double_divide(identity, c3)),
% 0.82/0.79 inference(monotonicity,[status(thm)],[89])).
% 0.82/0.79 tff(419,plain,
% 0.82/0.79 ((~![X: $i] : (identity = double_divide(X, inverse(X)))) | (identity = double_divide(double_divide(identity, c3), inverse(double_divide(identity, c3))))),
% 0.82/0.79 inference(quant_inst,[status(thm)],[])).
% 0.82/0.79 tff(420,plain,
% 0.82/0.79 (identity = double_divide(double_divide(identity, c3), inverse(double_divide(identity, c3)))),
% 0.82/0.79 inference(unit_resolution,[status(thm)],[419, 21])).
% 0.82/0.79 tff(421,plain,
% 0.82/0.79 (double_divide(double_divide(identity, c3), inverse(double_divide(identity, c3))) = identity),
% 0.82/0.79 inference(symmetry,[status(thm)],[420])).
% 0.82/0.79 tff(422,plain,
% 0.82/0.79 ((~![X: $i] : (inverse(X) = double_divide(X, identity))) | (inverse(double_divide(identity, c3)) = double_divide(double_divide(identity, c3), identity))),
% 0.82/0.79 inference(quant_inst,[status(thm)],[])).
% 0.82/0.79 tff(423,plain,
% 0.82/0.79 (inverse(double_divide(identity, c3)) = double_divide(double_divide(identity, c3), identity)),
% 0.82/0.79 inference(unit_resolution,[status(thm)],[422, 31])).
% 0.82/0.79 tff(424,plain,
% 0.82/0.79 (double_divide(double_divide(identity, c3), identity) = inverse(double_divide(identity, c3))),
% 0.82/0.79 inference(symmetry,[status(thm)],[423])).
% 0.82/0.79 tff(425,plain,
% 0.82/0.79 (identity = double_divide(double_divide(double_divide(c3, b3), double_divide(identity, identity)), double_divide(c3, b3))),
% 0.82/0.79 inference(transitivity,[status(thm)],[366, 397])).
% 0.82/0.79 tff(426,plain,
% 0.82/0.79 (double_divide(double_divide(identity, c3), identity) = double_divide(double_divide(identity, c3), double_divide(double_divide(double_divide(c3, b3), double_divide(identity, identity)), double_divide(c3, b3)))),
% 0.82/0.79 inference(monotonicity,[status(thm)],[425])).
% 0.82/0.79 tff(427,plain,
% 0.82/0.79 (double_divide(double_divide(identity, c3), double_divide(double_divide(double_divide(c3, b3), double_divide(identity, identity)), double_divide(c3, b3))) = double_divide(double_divide(identity, c3), identity)),
% 0.82/0.79 inference(symmetry,[status(thm)],[426])).
% 0.82/0.79 tff(428,plain,
% 0.82/0.79 (c3 = double_divide(double_divide(identity, c3), double_divide(double_divide(double_divide(c3, b3), double_divide(identity, identity)), double_divide(c3, b3)))),
% 0.82/0.79 inference(symmetry,[status(thm)],[345])).
% 0.82/0.79 tff(429,plain,
% 0.82/0.79 (c3 = inverse(double_divide(identity, c3))),
% 0.82/0.79 inference(transitivity,[status(thm)],[428, 427, 424])).
% 0.82/0.79 tff(430,plain,
% 0.82/0.79 (double_divide(double_divide(identity, c3), c3) = double_divide(double_divide(identity, c3), inverse(double_divide(identity, c3)))),
% 0.82/0.79 inference(monotonicity,[status(thm)],[429])).
% 0.82/0.79 tff(431,plain,
% 0.82/0.79 (double_divide(double_divide(identity, c3), c3) = double_divide(identity, identity)),
% 0.82/0.79 inference(transitivity,[status(thm)],[430, 421, 23, 59, 49])).
% 0.82/0.79 tff(432,plain,
% 0.82/0.79 (double_divide(double_divide(double_divide(identity, c3), c3), double_divide(identity, identity)) = double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity))))),
% 0.82/0.79 inference(monotonicity,[status(thm)],[431, 40])).
% 0.82/0.79 tff(433,plain,
% 0.82/0.79 (double_divide(double_divide(double_divide(identity, c3), c3), double_divide(identity, identity)) = identity),
% 0.82/0.79 inference(transitivity,[status(thm)],[432, 70])).
% 0.82/0.79 tff(434,plain,
% 0.82/0.79 (double_divide(double_divide(double_divide(double_divide(identity, c3), c3), double_divide(identity, identity)), double_divide(double_divide(identity, identity), c3)) = double_divide(identity, double_divide(identity, c3))),
% 0.82/0.79 inference(monotonicity,[status(thm)],[433, 418])).
% 0.82/0.79 tff(435,plain,
% 0.82/0.79 (double_divide(identity, double_divide(identity, c3)) = double_divide(double_divide(double_divide(double_divide(identity, c3), c3), double_divide(identity, identity)), double_divide(double_divide(identity, identity), c3))),
% 0.82/0.79 inference(symmetry,[status(thm)],[434])).
% 0.82/0.79 tff(436,plain,
% 0.82/0.79 (double_divide(identity, double_divide(identity, double_divide(identity, c3))) = double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(identity, c3), c3), double_divide(identity, identity)), double_divide(double_divide(identity, identity), c3)))),
% 0.82/0.79 inference(monotonicity,[status(thm)],[58, 435])).
% 0.82/0.79 tff(437,plain,
% 0.82/0.79 (double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(identity, c3), c3), double_divide(identity, identity)), double_divide(double_divide(identity, identity), c3))) = double_divide(identity, double_divide(identity, double_divide(identity, c3)))),
% 0.82/0.79 inference(symmetry,[status(thm)],[436])).
% 0.82/0.79 tff(438,plain,
% 0.82/0.79 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)) | (double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(identity, c3), c3), double_divide(identity, identity)), double_divide(double_divide(identity, identity), c3))) = double_divide(identity, c3))),
% 0.82/0.79 inference(quant_inst,[status(thm)],[])).
% 0.82/0.79 tff(439,plain,
% 0.82/0.79 (double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(identity, c3), c3), double_divide(identity, identity)), double_divide(double_divide(identity, identity), c3))) = double_divide(identity, c3)),
% 0.82/0.79 inference(unit_resolution,[status(thm)],[438, 47])).
% 0.82/0.79 tff(440,plain,
% 0.82/0.79 (double_divide(identity, c3) = double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(identity, c3), c3), double_divide(identity, identity)), double_divide(double_divide(identity, identity), c3)))),
% 0.82/0.79 inference(symmetry,[status(thm)],[439])).
% 0.82/0.79 tff(441,plain,
% 0.82/0.79 (double_divide(identity, c3) = double_divide(identity, double_divide(identity, double_divide(identity, c3)))),
% 0.82/0.79 inference(transitivity,[status(thm)],[440, 437])).
% 0.82/0.79 tff(442,plain,
% 0.82/0.79 (double_divide(double_divide(identity, c3), double_divide(double_divide(double_divide(c3, b3), double_divide(identity, identity)), double_divide(c3, b3))) = double_divide(double_divide(identity, double_divide(identity, double_divide(identity, c3))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), double_divide(identity, c3)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, c3)), double_divide(identity, c3))))),
% 0.82/0.79 inference(monotonicity,[status(thm)],[441, 417])).
% 0.82/0.79 tff(443,plain,
% 0.82/0.79 (double_divide(double_divide(double_divide(identity, b3), double_divide(double_divide(double_divide(double_divide(identity, c3), double_divide(double_divide(c3, b3), identity)), double_divide(identity, identity)), double_divide(b3, double_divide(double_divide(c3, b3), identity)))), double_divide(identity, identity)) = double_divide(double_divide(identity, c3), double_divide(double_divide(double_divide(c3, b3), double_divide(identity, identity)), double_divide(c3, b3)))),
% 0.82/0.79 inference(monotonicity,[status(thm)],[404, 398])).
% 0.82/0.79 tff(444,plain,
% 0.82/0.79 (double_divide(double_divide(double_divide(identity, b3), double_divide(double_divide(double_divide(double_divide(identity, c3), double_divide(double_divide(c3, b3), identity)), double_divide(identity, identity)), double_divide(b3, double_divide(double_divide(c3, b3), identity)))), double_divide(identity, identity)) = double_divide(identity, double_divide(identity, c3))),
% 0.82/0.79 inference(transitivity,[status(thm)],[443, 442, 407])).
% 0.82/0.79 tff(445,plain,
% 0.82/0.79 (double_divide(double_divide(double_divide(double_divide(identity, b3), double_divide(double_divide(double_divide(double_divide(identity, c3), double_divide(double_divide(c3, b3), identity)), double_divide(identity, identity)), double_divide(b3, double_divide(double_divide(c3, b3), identity)))), double_divide(identity, identity)), double_divide(double_divide(identity, b3), double_divide(double_divide(double_divide(double_divide(identity, c3), double_divide(double_divide(c3, b3), identity)), double_divide(identity, identity)), double_divide(b3, double_divide(double_divide(c3, b3), identity))))) = double_divide(double_divide(identity, double_divide(identity, c3)), double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, c3), double_divide(identity, identity))))),
% 0.82/0.79 inference(monotonicity,[status(thm)],[444, 405])).
% 0.82/0.79 tff(446,plain,
% 0.82/0.79 (double_divide(double_divide(identity, double_divide(identity, c3)), double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, c3), double_divide(identity, identity)))) = double_divide(double_divide(double_divide(double_divide(identity, b3), double_divide(double_divide(double_divide(double_divide(identity, c3), double_divide(double_divide(c3, b3), identity)), double_divide(identity, identity)), double_divide(b3, double_divide(double_divide(c3, b3), identity)))), double_divide(identity, identity)), double_divide(double_divide(identity, b3), double_divide(double_divide(double_divide(double_divide(identity, c3), double_divide(double_divide(c3, b3), identity)), double_divide(identity, identity)), double_divide(b3, double_divide(double_divide(c3, b3), identity)))))),
% 0.82/0.79 inference(symmetry,[status(thm)],[445])).
% 0.82/0.79 tff(447,plain,
% 0.82/0.79 (double_divide(identity, identity) = double_divide(double_divide(identity, double_divide(identity, c3)), double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, c3), double_divide(identity, identity))))),
% 0.82/0.79 inference(symmetry,[status(thm)],[409])).
% 0.82/0.79 tff(448,plain,
% 0.82/0.79 (double_divide(identity, identity) = double_divide(double_divide(double_divide(double_divide(identity, b3), double_divide(double_divide(double_divide(double_divide(identity, c3), double_divide(double_divide(c3, b3), identity)), double_divide(identity, identity)), double_divide(b3, double_divide(double_divide(c3, b3), identity)))), double_divide(identity, identity)), double_divide(double_divide(identity, b3), double_divide(double_divide(double_divide(double_divide(identity, c3), double_divide(double_divide(c3, b3), identity)), double_divide(identity, identity)), double_divide(b3, double_divide(double_divide(c3, b3), identity)))))),
% 0.82/0.79 inference(transitivity,[status(thm)],[447, 446])).
% 0.82/0.79 tff(449,plain,
% 0.82/0.79 (double_divide(double_divide(identity, double_divide(identity, b3)), double_divide(identity, identity)) = double_divide(double_divide(identity, double_divide(identity, b3)), double_divide(double_divide(double_divide(double_divide(identity, b3), double_divide(double_divide(double_divide(double_divide(identity, c3), double_divide(double_divide(c3, b3), identity)), double_divide(identity, identity)), double_divide(b3, double_divide(double_divide(c3, b3), identity)))), double_divide(identity, identity)), double_divide(double_divide(identity, b3), double_divide(double_divide(double_divide(double_divide(identity, c3), double_divide(double_divide(c3, b3), identity)), double_divide(identity, identity)), double_divide(b3, double_divide(double_divide(c3, b3), identity))))))),
% 0.82/0.79 inference(monotonicity,[status(thm)],[448])).
% 0.82/0.79 tff(450,plain,
% 0.82/0.79 (double_divide(double_divide(identity, double_divide(identity, b3)), double_divide(identity, identity)) = double_divide(identity, b3)),
% 0.82/0.79 inference(transitivity,[status(thm)],[449, 341])).
% 0.82/0.79 tff(451,plain,
% 0.82/0.79 (double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, b3)), double_divide(identity, identity))) = double_divide(identity, double_divide(identity, b3))),
% 0.82/0.79 inference(monotonicity,[status(thm)],[94, 450])).
% 0.82/0.79 tff(452,plain,
% 0.82/0.79 (double_divide(identity, double_divide(identity, b3)) = double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, b3)), double_divide(identity, identity)))),
% 0.82/0.79 inference(symmetry,[status(thm)],[451])).
% 0.82/0.79 tff(453,plain,
% 0.82/0.79 (double_divide(double_divide(identity, double_divide(identity, double_divide(identity, b3))), double_divide(identity, double_divide(identity, b3))) = double_divide(double_divide(identity, double_divide(identity, double_divide(identity, b3))), double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, b3)), double_divide(identity, identity))))),
% 0.82/0.79 inference(monotonicity,[status(thm)],[452])).
% 0.82/0.79 tff(454,plain,
% 0.82/0.79 (double_divide(double_divide(identity, double_divide(identity, double_divide(identity, b3))), double_divide(identity, double_divide(identity, b3))) = double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity)))),
% 0.82/0.79 inference(transitivity,[status(thm)],[453, 343, 40])).
% 0.82/0.79 tff(455,plain,
% 0.82/0.79 (double_divide(double_divide(identity, double_divide(identity, double_divide(identity, b3))), double_divide(identity, double_divide(identity, b3))) = double_divide(identity, identity)),
% 0.82/0.79 inference(transitivity,[status(thm)],[453, 343])).
% 0.82/0.79 tff(456,plain,
% 0.82/0.79 (double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(identity, b3))), double_divide(identity, double_divide(identity, b3))), double_divide(identity, identity)) = double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity))))),
% 0.82/0.79 inference(monotonicity,[status(thm)],[455, 40])).
% 0.82/0.79 tff(457,plain,
% 0.82/0.79 (double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(identity, b3))), double_divide(identity, double_divide(identity, b3))), double_divide(identity, identity)) = double_divide(identity, identity)),
% 0.82/0.79 inference(transitivity,[status(thm)],[456, 70, 23, 59, 49])).
% 0.82/0.79 tff(458,plain,
% 0.82/0.79 (double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(identity, b3))), double_divide(identity, double_divide(identity, b3))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(identity, b3))), double_divide(identity, double_divide(identity, b3)))) = double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity))))),
% 0.82/0.79 inference(monotonicity,[status(thm)],[457, 454])).
% 0.82/0.79 tff(459,plain,
% 0.82/0.79 (double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity)))) = double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(identity, b3))), double_divide(identity, double_divide(identity, b3))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(identity, b3))), double_divide(identity, double_divide(identity, b3))))),
% 0.82/0.79 inference(symmetry,[status(thm)],[458])).
% 0.82/0.79 tff(460,plain,
% 0.82/0.79 (double_divide(double_divide(double_divide(double_divide(identity, b3), double_divide(double_divide(double_divide(double_divide(identity, c3), double_divide(double_divide(c3, b3), identity)), double_divide(identity, identity)), double_divide(b3, double_divide(double_divide(c3, b3), identity)))), double_divide(identity, identity)), double_divide(double_divide(identity, b3), double_divide(double_divide(double_divide(double_divide(identity, c3), double_divide(double_divide(c3, b3), identity)), double_divide(identity, identity)), double_divide(b3, double_divide(double_divide(c3, b3), identity))))) = double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(identity, b3))), double_divide(identity, double_divide(identity, b3))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(identity, b3))), double_divide(identity, double_divide(identity, b3))))),
% 0.82/0.79 inference(transitivity,[status(thm)],[445, 409, 88, 87, 24, 75, 459])).
% 0.82/0.79 tff(461,plain,
% 0.82/0.79 (double_divide(double_divide(identity, identity), double_divide(identity, b3)) = double_divide(identity, double_divide(identity, b3))),
% 0.82/0.79 inference(monotonicity,[status(thm)],[89])).
% 0.82/0.79 tff(462,plain,
% 0.82/0.79 ((~![X: $i] : (identity = double_divide(X, inverse(X)))) | (identity = double_divide(double_divide(identity, double_divide(identity, b3)), inverse(double_divide(identity, double_divide(identity, b3)))))),
% 0.82/0.79 inference(quant_inst,[status(thm)],[])).
% 0.82/0.79 tff(463,plain,
% 0.82/0.79 (identity = double_divide(double_divide(identity, double_divide(identity, b3)), inverse(double_divide(identity, double_divide(identity, b3))))),
% 0.82/0.79 inference(unit_resolution,[status(thm)],[462, 21])).
% 0.82/0.79 tff(464,plain,
% 0.82/0.79 (double_divide(double_divide(identity, double_divide(identity, b3)), inverse(double_divide(identity, double_divide(identity, b3)))) = identity),
% 0.82/0.79 inference(symmetry,[status(thm)],[463])).
% 0.82/0.79 tff(465,plain,
% 0.82/0.79 ((~![X: $i] : (inverse(X) = double_divide(X, identity))) | (inverse(double_divide(identity, double_divide(identity, b3))) = double_divide(double_divide(identity, double_divide(identity, b3)), identity))),
% 0.82/0.79 inference(quant_inst,[status(thm)],[])).
% 0.82/0.79 tff(466,plain,
% 0.82/0.79 (inverse(double_divide(identity, double_divide(identity, b3))) = double_divide(double_divide(identity, double_divide(identity, b3)), identity)),
% 0.82/0.79 inference(unit_resolution,[status(thm)],[465, 31])).
% 0.82/0.79 tff(467,plain,
% 0.82/0.79 (double_divide(double_divide(identity, double_divide(identity, b3)), identity) = inverse(double_divide(identity, double_divide(identity, b3)))),
% 0.82/0.79 inference(symmetry,[status(thm)],[466])).
% 0.82/0.79 tff(468,plain,
% 0.82/0.79 (identity = double_divide(double_divide(double_divide(double_divide(identity, b3), double_divide(double_divide(double_divide(double_divide(identity, c3), double_divide(double_divide(c3, b3), identity)), double_divide(identity, identity)), double_divide(b3, double_divide(double_divide(c3, b3), identity)))), double_divide(identity, identity)), double_divide(double_divide(identity, b3), double_divide(double_divide(double_divide(double_divide(identity, c3), double_divide(double_divide(c3, b3), identity)), double_divide(identity, identity)), double_divide(b3, double_divide(double_divide(c3, b3), identity)))))),
% 0.82/0.79 inference(transitivity,[status(thm)],[23, 59, 49, 447, 446])).
% 0.82/0.79 tff(469,plain,
% 0.82/0.79 (double_divide(double_divide(identity, double_divide(identity, b3)), identity) = double_divide(double_divide(identity, double_divide(identity, b3)), double_divide(double_divide(double_divide(double_divide(identity, b3), double_divide(double_divide(double_divide(double_divide(identity, c3), double_divide(double_divide(c3, b3), identity)), double_divide(identity, identity)), double_divide(b3, double_divide(double_divide(c3, b3), identity)))), double_divide(identity, identity)), double_divide(double_divide(identity, b3), double_divide(double_divide(double_divide(double_divide(identity, c3), double_divide(double_divide(c3, b3), identity)), double_divide(identity, identity)), double_divide(b3, double_divide(double_divide(c3, b3), identity))))))),
% 0.82/0.79 inference(monotonicity,[status(thm)],[468])).
% 0.82/0.79 tff(470,plain,
% 0.82/0.79 (double_divide(double_divide(identity, double_divide(identity, b3)), double_divide(double_divide(double_divide(double_divide(identity, b3), double_divide(double_divide(double_divide(double_divide(identity, c3), double_divide(double_divide(c3, b3), identity)), double_divide(identity, identity)), double_divide(b3, double_divide(double_divide(c3, b3), identity)))), double_divide(identity, identity)), double_divide(double_divide(identity, b3), double_divide(double_divide(double_divide(double_divide(identity, c3), double_divide(double_divide(c3, b3), identity)), double_divide(identity, identity)), double_divide(b3, double_divide(double_divide(c3, b3), identity)))))) = double_divide(double_divide(identity, double_divide(identity, b3)), identity)),
% 0.82/0.80 inference(symmetry,[status(thm)],[469])).
% 0.82/0.80 tff(471,plain,
% 0.82/0.80 (double_divide(identity, b3) = double_divide(double_divide(identity, double_divide(identity, b3)), double_divide(double_divide(double_divide(double_divide(identity, b3), double_divide(double_divide(double_divide(double_divide(identity, c3), double_divide(double_divide(c3, b3), identity)), double_divide(identity, identity)), double_divide(b3, double_divide(double_divide(c3, b3), identity)))), double_divide(identity, identity)), double_divide(double_divide(identity, b3), double_divide(double_divide(double_divide(double_divide(identity, c3), double_divide(double_divide(c3, b3), identity)), double_divide(identity, identity)), double_divide(b3, double_divide(double_divide(c3, b3), identity))))))),
% 0.82/0.80 inference(symmetry,[status(thm)],[341])).
% 0.82/0.80 tff(472,plain,
% 0.82/0.80 (double_divide(identity, b3) = inverse(double_divide(identity, double_divide(identity, b3)))),
% 0.82/0.80 inference(transitivity,[status(thm)],[471, 470, 467])).
% 0.82/0.80 tff(473,plain,
% 0.82/0.80 (double_divide(double_divide(identity, double_divide(identity, b3)), double_divide(identity, b3)) = double_divide(double_divide(identity, double_divide(identity, b3)), inverse(double_divide(identity, double_divide(identity, b3))))),
% 0.82/0.80 inference(monotonicity,[status(thm)],[472])).
% 0.82/0.80 tff(474,plain,
% 0.82/0.80 (double_divide(double_divide(identity, double_divide(identity, b3)), double_divide(identity, b3)) = double_divide(identity, identity)),
% 0.82/0.80 inference(transitivity,[status(thm)],[473, 464, 23, 59, 49])).
% 0.82/0.80 tff(475,plain,
% 0.82/0.80 (double_divide(double_divide(double_divide(identity, double_divide(identity, b3)), double_divide(identity, b3)), double_divide(identity, identity)) = double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity))))),
% 0.82/0.80 inference(monotonicity,[status(thm)],[474, 40])).
% 0.82/0.80 tff(476,plain,
% 0.82/0.80 (double_divide(double_divide(double_divide(identity, double_divide(identity, b3)), double_divide(identity, b3)), double_divide(identity, identity)) = identity),
% 0.82/0.80 inference(transitivity,[status(thm)],[475, 70])).
% 0.82/0.80 tff(477,plain,
% 0.82/0.80 (double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, b3)), double_divide(identity, b3)), double_divide(identity, identity)), double_divide(double_divide(identity, identity), double_divide(identity, b3))) = double_divide(identity, double_divide(identity, double_divide(identity, b3)))),
% 0.82/0.80 inference(monotonicity,[status(thm)],[476, 461])).
% 0.82/0.80 tff(478,plain,
% 0.82/0.80 (double_divide(identity, double_divide(identity, double_divide(identity, b3))) = double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, b3)), double_divide(identity, b3)), double_divide(identity, identity)), double_divide(double_divide(identity, identity), double_divide(identity, b3)))),
% 0.82/0.80 inference(symmetry,[status(thm)],[477])).
% 0.82/0.80 tff(479,plain,
% 0.82/0.80 (double_divide(identity, double_divide(identity, double_divide(identity, double_divide(identity, b3)))) = double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, b3)), double_divide(identity, b3)), double_divide(identity, identity)), double_divide(double_divide(identity, identity), double_divide(identity, b3))))),
% 0.82/0.80 inference(monotonicity,[status(thm)],[58, 478])).
% 0.82/0.80 tff(480,plain,
% 0.82/0.80 (double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, b3)), double_divide(identity, b3)), double_divide(identity, identity)), double_divide(double_divide(identity, identity), double_divide(identity, b3)))) = double_divide(identity, double_divide(identity, double_divide(identity, double_divide(identity, b3))))),
% 0.82/0.80 inference(symmetry,[status(thm)],[479])).
% 0.82/0.80 tff(481,plain,
% 0.82/0.80 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)) | (double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, b3)), double_divide(identity, b3)), double_divide(identity, identity)), double_divide(double_divide(identity, identity), double_divide(identity, b3)))) = double_divide(identity, double_divide(identity, b3)))),
% 0.82/0.80 inference(quant_inst,[status(thm)],[])).
% 0.82/0.80 tff(482,plain,
% 0.82/0.80 (double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, b3)), double_divide(identity, b3)), double_divide(identity, identity)), double_divide(double_divide(identity, identity), double_divide(identity, b3)))) = double_divide(identity, double_divide(identity, b3))),
% 0.82/0.80 inference(unit_resolution,[status(thm)],[481, 47])).
% 0.82/0.80 tff(483,plain,
% 0.82/0.80 (double_divide(identity, double_divide(identity, b3)) = double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, b3)), double_divide(identity, b3)), double_divide(identity, identity)), double_divide(double_divide(identity, identity), double_divide(identity, b3))))),
% 0.82/0.80 inference(symmetry,[status(thm)],[482])).
% 0.82/0.80 tff(484,plain,
% 0.82/0.80 (double_divide(identity, double_divide(identity, b3)) = double_divide(identity, double_divide(identity, double_divide(identity, double_divide(identity, b3))))),
% 0.82/0.80 inference(transitivity,[status(thm)],[483, 480])).
% 0.82/0.80 tff(485,plain,
% 0.82/0.80 (double_divide(double_divide(identity, double_divide(identity, b3)), double_divide(double_divide(double_divide(double_divide(identity, b3), double_divide(double_divide(double_divide(double_divide(identity, c3), double_divide(double_divide(c3, b3), identity)), double_divide(identity, identity)), double_divide(b3, double_divide(double_divide(c3, b3), identity)))), double_divide(identity, identity)), double_divide(double_divide(identity, b3), double_divide(double_divide(double_divide(double_divide(identity, c3), double_divide(double_divide(c3, b3), identity)), double_divide(identity, identity)), double_divide(b3, double_divide(double_divide(c3, b3), identity)))))) = double_divide(double_divide(identity, double_divide(identity, double_divide(identity, double_divide(identity, b3)))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(identity, b3))), double_divide(identity, double_divide(identity, b3))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(identity, b3))), double_divide(identity, double_divide(identity, b3)))))),
% 0.82/0.80 inference(monotonicity,[status(thm)],[484, 460])).
% 0.82/0.80 tff(486,plain,
% 0.82/0.80 (double_divide(double_divide(identity, double_divide(identity, double_divide(identity, double_divide(identity, b3)))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(identity, b3))), double_divide(identity, double_divide(identity, b3))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(identity, b3))), double_divide(identity, double_divide(identity, b3))))) = double_divide(double_divide(identity, double_divide(identity, b3)), double_divide(double_divide(double_divide(double_divide(identity, b3), double_divide(double_divide(double_divide(double_divide(identity, c3), double_divide(double_divide(c3, b3), identity)), double_divide(identity, identity)), double_divide(b3, double_divide(double_divide(c3, b3), identity)))), double_divide(identity, identity)), double_divide(double_divide(identity, b3), double_divide(double_divide(double_divide(double_divide(identity, c3), double_divide(double_divide(c3, b3), identity)), double_divide(identity, identity)), double_divide(b3, double_divide(double_divide(c3, b3), identity))))))),
% 0.82/0.80 inference(symmetry,[status(thm)],[485])).
% 0.82/0.80 tff(487,plain,
% 0.82/0.80 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)) | (double_divide(double_divide(identity, double_divide(identity, double_divide(identity, double_divide(identity, b3)))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(identity, b3))), double_divide(identity, double_divide(identity, b3))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(identity, b3))), double_divide(identity, double_divide(identity, b3))))) = double_divide(identity, double_divide(identity, double_divide(identity, b3))))),
% 0.82/0.80 inference(quant_inst,[status(thm)],[])).
% 0.82/0.80 tff(488,plain,
% 0.82/0.80 (double_divide(double_divide(identity, double_divide(identity, double_divide(identity, double_divide(identity, b3)))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(identity, b3))), double_divide(identity, double_divide(identity, b3))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(identity, b3))), double_divide(identity, double_divide(identity, b3))))) = double_divide(identity, double_divide(identity, double_divide(identity, b3)))),
% 0.82/0.80 inference(unit_resolution,[status(thm)],[487, 47])).
% 0.82/0.80 tff(489,plain,
% 0.82/0.80 (double_divide(identity, double_divide(identity, double_divide(identity, b3))) = double_divide(double_divide(identity, double_divide(identity, double_divide(identity, double_divide(identity, b3)))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(identity, b3))), double_divide(identity, double_divide(identity, b3))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(identity, b3))), double_divide(identity, double_divide(identity, b3)))))),
% 0.82/0.80 inference(symmetry,[status(thm)],[488])).
% 0.82/0.80 tff(490,plain,
% 0.82/0.80 (double_divide(identity, double_divide(identity, double_divide(identity, b3))) = double_divide(identity, b3)),
% 0.82/0.80 inference(transitivity,[status(thm)],[489, 486, 341])).
% 0.82/0.80 tff(491,plain,
% 0.82/0.80 (double_divide(double_divide(identity, double_divide(identity, double_divide(identity, b3))), double_divide(double_divide(identity, identity), double_divide(b3, a3))) = double_divide(double_divide(identity, b3), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(identity, double_divide(identity, a3))), double_divide(identity, identity)), double_divide(b3, double_divide(identity, double_divide(identity, a3)))))),
% 0.82/0.80 inference(monotonicity,[status(thm)],[490, 339])).
% 0.82/0.80 tff(492,plain,
% 0.82/0.80 (double_divide(double_divide(identity, double_divide(identity, double_divide(identity, b3))), double_divide(double_divide(identity, identity), double_divide(b3, a3))) = double_divide(identity, double_divide(identity, double_divide(identity, a3)))),
% 0.82/0.80 inference(transitivity,[status(thm)],[491, 336])).
% 0.82/0.80 tff(493,plain,
% 0.82/0.80 (double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(identity, b3))), double_divide(double_divide(identity, identity), double_divide(b3, a3)))) = double_divide(identity, double_divide(identity, double_divide(identity, double_divide(identity, a3))))),
% 0.82/0.80 inference(monotonicity,[status(thm)],[300, 492])).
% 0.82/0.80 tff(494,plain,
% 0.82/0.80 (double_divide(identity, double_divide(identity, double_divide(identity, double_divide(identity, a3)))) = double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(identity, b3))), double_divide(double_divide(identity, identity), double_divide(b3, a3))))),
% 0.82/0.80 inference(symmetry,[status(thm)],[493])).
% 0.82/0.80 tff(495,plain,
% 0.82/0.80 (double_divide(identity, double_divide(identity, double_divide(identity, double_divide(identity, double_divide(identity, a3))))) = double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(identity, a3), double_divide(double_divide(identity, a3), identity)), double_divide(identity, identity)), double_divide(double_divide(identity, identity), double_divide(double_divide(identity, a3), identity))))),
% 0.82/0.80 inference(symmetry,[status(thm)],[259])).
% 0.82/0.80 tff(496,plain,
% 0.82/0.80 (double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(identity, double_divide(identity, a3))), double_divide(identity, identity)), double_divide(double_divide(identity, identity), double_divide(identity, double_divide(identity, a3))))) = double_divide(identity, double_divide(identity, double_divide(identity, double_divide(identity, double_divide(identity, a3)))))),
% 0.82/0.80 inference(symmetry,[status(thm)],[234])).
% 0.82/0.80 tff(497,plain,
% 0.82/0.80 (double_divide(identity, double_divide(identity, double_divide(identity, a3))) = double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(identity, double_divide(identity, a3))), double_divide(identity, identity)), double_divide(double_divide(identity, identity), double_divide(identity, double_divide(identity, a3)))))),
% 0.82/0.80 inference(symmetry,[status(thm)],[219])).
% 0.82/0.80 tff(498,plain,
% 0.82/0.80 (double_divide(identity, double_divide(identity, double_divide(identity, a3))) = double_divide(identity, a3)),
% 0.82/0.80 inference(transitivity,[status(thm)],[497, 496, 495, 261])).
% 0.82/0.80 tff(499,plain,
% 0.82/0.80 (double_divide(identity, double_divide(identity, double_divide(identity, double_divide(identity, a3)))) = double_divide(identity, double_divide(identity, a3))),
% 0.82/0.80 inference(monotonicity,[status(thm)],[498])).
% 0.82/0.80 tff(500,plain,
% 0.82/0.80 (double_divide(identity, double_divide(identity, a3)) = double_divide(identity, double_divide(identity, double_divide(identity, double_divide(identity, a3))))),
% 0.82/0.80 inference(symmetry,[status(thm)],[499])).
% 0.82/0.80 tff(501,plain,
% 0.82/0.80 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)) | (double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, a3)), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)), double_divide(identity, identity)))) = double_divide(identity, double_divide(identity, a3)))),
% 0.82/0.80 inference(quant_inst,[status(thm)],[])).
% 0.82/0.80 tff(502,plain,
% 0.82/0.80 (double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, a3)), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)), double_divide(identity, identity)))) = double_divide(identity, double_divide(identity, a3))),
% 0.82/0.80 inference(unit_resolution,[status(thm)],[501, 47])).
% 0.82/0.80 tff(503,plain,
% 0.82/0.80 (double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(identity, identity)) = double_divide(double_divide(identity, a3), double_divide(identity, identity))),
% 0.82/0.80 inference(monotonicity,[status(thm)],[498])).
% 0.82/0.80 tff(504,plain,
% 0.82/0.80 (double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(identity, identity)) = a3),
% 0.82/0.80 inference(transitivity,[status(thm)],[503, 183, 172])).
% 0.82/0.80 tff(505,plain,
% 0.82/0.80 (double_divide(multiply(b3, c3), identity) = double_divide(double_divide(identity, double_divide(c3, b3)), double_divide(double_divide(double_divide(double_divide(c3, b3), double_divide(double_divide(c3, b3), identity)), double_divide(identity, identity)), double_divide(double_divide(c3, b3), double_divide(double_divide(c3, b3), identity))))),
% 0.82/0.80 inference(symmetry,[status(thm)],[391])).
% 0.82/0.80 tff(506,plain,
% 0.82/0.80 (double_divide(double_divide(double_divide(c3, b3), identity), double_divide(identity, identity)) = double_divide(c3, b3)),
% 0.82/0.80 inference(transitivity,[status(thm)],[374, 505, 377])).
% 0.82/0.80 tff(507,plain,
% 0.82/0.80 (double_divide(double_divide(double_divide(double_divide(c3, b3), identity), double_divide(identity, identity)), double_divide(identity, identity)) = double_divide(double_divide(c3, b3), identity)),
% 0.82/0.80 inference(monotonicity,[status(thm)],[506, 89])).
% 0.82/0.80 tff(508,plain,
% 0.82/0.80 (double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(identity, identity))) = double_divide(double_divide(double_divide(c3, b3), identity), a3)),
% 0.82/0.80 inference(monotonicity,[status(thm)],[507, 504])).
% 0.82/0.80 tff(509,plain,
% 0.82/0.80 (double_divide(double_divide(double_divide(c3, b3), identity), a3) = double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(identity, identity)))),
% 0.82/0.80 inference(symmetry,[status(thm)],[508])).
% 0.82/0.80 tff(510,plain,
% 0.82/0.80 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(identity, identity)))),
% 0.82/0.80 inference(transitivity,[status(thm)],[324, 318, 509])).
% 0.82/0.80 tff(511,plain,
% 0.82/0.80 (double_divide(double_divide(double_divide(identity, double_divide(identity, a3)), double_divide(identity, identity)), double_divide(identity, identity)) = double_divide(identity, double_divide(identity, double_divide(identity, double_divide(identity, a3))))),
% 0.82/0.80 inference(transitivity,[status(thm)],[242, 241, 264, 267, 500])).
% 0.82/0.80 tff(512,plain,
% 0.82/0.80 (double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, a3)), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)), double_divide(identity, identity))) = double_divide(double_divide(identity, double_divide(identity, double_divide(identity, double_divide(identity, a3)))), double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(identity, identity))))),
% 0.86/0.81 inference(monotonicity,[status(thm)],[511, 510])).
% 0.86/0.81 tff(513,plain,
% 0.86/0.81 (double_divide(double_divide(identity, double_divide(identity, double_divide(identity, double_divide(identity, a3)))), double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(identity, identity)))) = double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, a3)), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)), double_divide(identity, identity)))),
% 0.86/0.81 inference(symmetry,[status(thm)],[512])).
% 0.86/0.81 tff(514,plain,
% 0.86/0.81 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)) | (double_divide(double_divide(identity, double_divide(identity, double_divide(identity, double_divide(identity, a3)))), double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(identity, identity)))) = double_divide(double_divide(c3, b3), identity))),
% 0.86/0.81 inference(quant_inst,[status(thm)],[])).
% 0.86/0.81 tff(515,plain,
% 0.86/0.81 (double_divide(double_divide(identity, double_divide(identity, double_divide(identity, double_divide(identity, a3)))), double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(identity, identity)))) = double_divide(double_divide(c3, b3), identity)),
% 0.86/0.81 inference(unit_resolution,[status(thm)],[514, 47])).
% 0.86/0.81 tff(516,plain,
% 0.86/0.81 (double_divide(double_divide(c3, b3), identity) = double_divide(double_divide(identity, double_divide(identity, double_divide(identity, double_divide(identity, a3)))), double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(identity, identity))))),
% 0.86/0.81 inference(symmetry,[status(thm)],[515])).
% 0.86/0.81 tff(517,plain,
% 0.86/0.81 (double_divide(double_divide(c3, b3), identity) = double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, a3)), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)), double_divide(identity, identity)))),
% 0.86/0.81 inference(transitivity,[status(thm)],[516, 513])).
% 0.86/0.81 tff(518,plain,
% 0.86/0.81 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)) | (double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3))), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), double_divide(identity, identity)))) = double_divide(identity, double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3))))),
% 0.86/0.81 inference(quant_inst,[status(thm)],[])).
% 0.86/0.81 tff(519,plain,
% 0.86/0.81 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3))), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), double_divide(identity, identity)))) = double_divide(identity, double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)))),
% 0.86/0.81 inference(unit_resolution,[status(thm)],[518, 47])).
% 0.86/0.81 tff(520,plain,
% 0.86/0.81 (double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), double_divide(identity, identity)) = inverse(double_divide(double_divide(double_divide(c3, b3), identity), a3))),
% 0.86/0.81 inference(transitivity,[status(thm)],[90, 110])).
% 0.86/0.81 tff(521,plain,
% 0.86/0.81 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)) | (double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)), double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)), double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))))) = double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)))),
% 0.86/0.81 inference(quant_inst,[status(thm)],[])).
% 0.86/0.81 tff(522,plain,
% 0.86/0.81 (double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)), double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)), double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))))) = double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3))),
% 0.86/0.81 inference(unit_resolution,[status(thm)],[521, 47])).
% 0.86/0.81 tff(523,plain,
% 0.86/0.81 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)), double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))) = double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity)))),
% 0.86/0.81 inference(transitivity,[status(thm)],[97, 86, 40])).
% 0.86/0.81 tff(524,plain,
% 0.86/0.81 (double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)), double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)), double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)))) = double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity))))),
% 0.86/0.81 inference(monotonicity,[status(thm)],[100, 523])).
% 0.86/0.81 tff(525,plain,
% 0.86/0.81 (double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity)))) = double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)), double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)), double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))))),
% 0.86/0.81 inference(symmetry,[status(thm)],[524])).
% 0.86/0.81 tff(526,plain,
% 0.86/0.81 (double_divide(identity, identity) = double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)), double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)), double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))))),
% 0.86/0.81 inference(transitivity,[status(thm)],[88, 87, 24, 75, 525])).
% 0.86/0.81 tff(527,plain,
% 0.86/0.81 (double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3))), double_divide(identity, identity)) = double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)), double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)), double_divide(identity, double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)))))),
% 0.86/0.81 inference(monotonicity,[status(thm)],[526])).
% 0.86/0.81 tff(528,plain,
% 0.86/0.81 (double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3))), double_divide(identity, identity)) = double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3))),
% 0.86/0.81 inference(transitivity,[status(thm)],[527, 522])).
% 0.86/0.81 tff(529,plain,
% 0.86/0.81 (double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3))), double_divide(identity, identity)), double_divide(identity, identity)) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))))),
% 0.86/0.81 inference(monotonicity,[status(thm)],[528, 323])).
% 0.86/0.81 tff(530,plain,
% 0.86/0.81 (double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3))), double_divide(identity, identity)), double_divide(identity, identity)) = double_divide(double_divide(double_divide(c3, b3), identity), a3)),
% 0.86/0.81 inference(transitivity,[status(thm)],[529, 318])).
% 0.86/0.81 tff(531,plain,
% 0.86/0.81 (double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3))), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), double_divide(identity, identity))) = double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), inverse(double_divide(double_divide(double_divide(c3, b3), identity), a3)))),
% 0.86/0.81 inference(monotonicity,[status(thm)],[530, 520])).
% 0.86/0.81 tff(532,plain,
% 0.86/0.81 (double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3))), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), double_divide(identity, identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)))),
% 0.86/0.81 inference(transitivity,[status(thm)],[531, 107, 75, 322])).
% 0.86/0.81 tff(533,plain,
% 0.86/0.81 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3))), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), double_divide(identity, identity)))) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))))),
% 0.86/0.81 inference(monotonicity,[status(thm)],[532])).
% 0.86/0.81 tff(534,plain,
% 0.86/0.81 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)))) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3))), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), double_divide(identity, identity))))),
% 0.86/0.81 inference(symmetry,[status(thm)],[533])).
% 0.86/0.81 tff(535,plain,
% 0.86/0.81 (double_divide(double_divide(double_divide(c3, b3), identity), a3) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity))))),
% 0.86/0.81 inference(symmetry,[status(thm)],[318])).
% 0.86/0.81 tff(536,plain,
% 0.86/0.81 (double_divide(double_divide(double_divide(c3, b3), identity), a3) = double_divide(identity, double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)))),
% 0.86/0.81 inference(transitivity,[status(thm)],[535, 534, 519])).
% 0.86/0.81 tff(537,plain,
% 0.86/0.81 (double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), double_divide(double_divide(c3, b3), identity)) = double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, a3)), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)), double_divide(identity, identity))))),
% 0.86/0.81 inference(monotonicity,[status(thm)],[536, 517])).
% 0.86/0.81 tff(538,plain,
% 0.86/0.81 (double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), double_divide(double_divide(c3, b3), identity)) = double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(identity, b3))), double_divide(double_divide(identity, identity), double_divide(b3, a3))))),
% 0.86/0.81 inference(transitivity,[status(thm)],[537, 502, 500, 494])).
% 0.86/0.81 tff(539,plain,
% 0.86/0.81 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)) | (double_divide(double_divide(identity, double_divide(identity, double_divide(identity, b3))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, b3)), double_divide(identity, b3)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, b3)), double_divide(identity, b3)))) = double_divide(identity, double_divide(identity, b3)))),
% 0.86/0.81 inference(quant_inst,[status(thm)],[])).
% 0.86/0.81 tff(540,plain,
% 0.86/0.81 (double_divide(double_divide(identity, double_divide(identity, double_divide(identity, b3))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, b3)), double_divide(identity, b3)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, b3)), double_divide(identity, b3)))) = double_divide(identity, double_divide(identity, b3))),
% 0.86/0.81 inference(unit_resolution,[status(thm)],[539, 47])).
% 0.86/0.81 tff(541,plain,
% 0.86/0.81 (double_divide(double_divide(identity, double_divide(identity, b3)), double_divide(identity, b3)) = double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity)))),
% 0.86/0.81 inference(transitivity,[status(thm)],[473, 464, 23, 59, 49, 40])).
% 0.86/0.81 tff(542,plain,
% 0.86/0.81 (double_divide(double_divide(double_divide(identity, double_divide(identity, b3)), double_divide(identity, b3)), double_divide(identity, identity)) = double_divide(identity, identity)),
% 0.86/0.81 inference(transitivity,[status(thm)],[475, 70, 23, 59, 49])).
% 0.86/0.81 tff(543,plain,
% 0.86/0.81 (double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, b3)), double_divide(identity, b3)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, b3)), double_divide(identity, b3))) = double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity))))),
% 0.86/0.81 inference(monotonicity,[status(thm)],[542, 541])).
% 0.86/0.81 tff(544,plain,
% 0.86/0.81 (double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity)))) = double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, b3)), double_divide(identity, b3)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, b3)), double_divide(identity, b3)))),
% 0.86/0.81 inference(symmetry,[status(thm)],[543])).
% 0.86/0.81 tff(545,plain,
% 0.86/0.81 (double_divide(identity, identity) = double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, b3)), double_divide(identity, b3)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, b3)), double_divide(identity, b3)))),
% 0.86/0.81 inference(transitivity,[status(thm)],[88, 87, 24, 75, 544])).
% 0.86/0.81 tff(546,plain,
% 0.86/0.81 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)) | (double_divide(double_divide(identity, double_divide(identity, double_divide(identity, c3))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(identity, b3))), double_divide(identity, double_divide(identity, b3))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, c3)), double_divide(identity, double_divide(identity, b3))))) = double_divide(identity, double_divide(identity, double_divide(identity, b3))))),
% 0.86/0.81 inference(quant_inst,[status(thm)],[])).
% 0.86/0.81 tff(547,plain,
% 0.86/0.81 (double_divide(double_divide(identity, double_divide(identity, double_divide(identity, c3))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(identity, b3))), double_divide(identity, double_divide(identity, b3))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, c3)), double_divide(identity, double_divide(identity, b3))))) = double_divide(identity, double_divide(identity, double_divide(identity, b3)))),
% 0.86/0.81 inference(unit_resolution,[status(thm)],[546, 47])).
% 0.86/0.81 tff(548,plain,
% 0.86/0.81 (double_divide(double_divide(identity, identity), double_divide(identity, identity)) = identity),
% 0.86/0.81 inference(transitivity,[status(thm)],[91, 70])).
% 0.86/0.81 tff(549,plain,
% 0.86/0.81 (double_divide(double_divide(double_divide(double_divide(identity, double_divide(c3, b3)), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, identity), double_divide(identity, identity))) = double_divide(multiply(b3, c3), identity)),
% 0.86/0.81 inference(monotonicity,[status(thm)],[383, 548])).
% 0.86/0.81 tff(550,plain,
% 0.86/0.81 (double_divide(multiply(b3, c3), identity) = double_divide(double_divide(double_divide(double_divide(identity, double_divide(c3, b3)), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, identity), double_divide(identity, identity)))),
% 0.86/0.81 inference(symmetry,[status(thm)],[549])).
% 0.86/0.81 tff(551,plain,
% 0.86/0.81 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)) | (double_divide(double_divide(identity, double_divide(identity, double_divide(identity, double_divide(identity, a3)))), double_divide(double_divide(double_divide(b3, double_divide(identity, double_divide(identity, a3))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(identity, double_divide(identity, a3))))) = b3)),
% 0.86/0.81 inference(quant_inst,[status(thm)],[])).
% 0.86/0.81 tff(552,plain,
% 0.86/0.81 (double_divide(double_divide(identity, double_divide(identity, double_divide(identity, double_divide(identity, a3)))), double_divide(double_divide(double_divide(b3, double_divide(identity, double_divide(identity, a3))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(identity, double_divide(identity, a3))))) = b3),
% 0.86/0.81 inference(unit_resolution,[status(thm)],[551, 47])).
% 0.86/0.81 tff(553,plain,
% 0.86/0.81 (double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(identity, b3))), double_divide(double_divide(identity, identity), double_divide(b3, a3))))),
% 0.86/0.82 inference(transitivity,[status(thm)],[503, 264, 267, 500, 494])).
% 0.86/0.82 tff(554,plain,
% 0.86/0.82 (double_divide(double_divide(identity, double_divide(identity, b3)), double_divide(identity, identity)) = double_divide(identity, double_divide(identity, double_divide(identity, b3)))),
% 0.86/0.82 inference(transitivity,[status(thm)],[449, 485, 488])).
% 0.86/0.82 tff(555,plain,
% 0.86/0.82 (double_divide(double_divide(double_divide(identity, double_divide(identity, b3)), double_divide(identity, identity)), double_divide(identity, identity)) = double_divide(double_divide(identity, double_divide(identity, double_divide(identity, b3))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, b3)), double_divide(identity, b3)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, b3)), double_divide(identity, b3))))),
% 0.86/0.82 inference(monotonicity,[status(thm)],[554, 545])).
% 0.86/0.82 tff(556,plain,
% 0.86/0.82 (double_divide(double_divide(double_divide(identity, double_divide(identity, b3)), double_divide(identity, identity)), double_divide(identity, identity)) = double_divide(identity, double_divide(identity, double_divide(identity, double_divide(identity, b3))))),
% 0.86/0.82 inference(transitivity,[status(thm)],[555, 540, 483, 480])).
% 0.86/0.82 tff(557,plain,
% 0.86/0.82 (double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, b3)), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(identity, identity))) = double_divide(double_divide(identity, double_divide(identity, double_divide(identity, double_divide(identity, b3)))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(identity, b3))), double_divide(double_divide(identity, identity), double_divide(b3, a3)))))),
% 0.86/0.82 inference(monotonicity,[status(thm)],[556, 553])).
% 0.86/0.82 tff(558,plain,
% 0.86/0.82 (double_divide(double_divide(identity, double_divide(identity, double_divide(identity, double_divide(identity, b3)))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(identity, b3))), double_divide(double_divide(identity, identity), double_divide(b3, a3))))) = double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, b3)), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(identity, identity)))),
% 0.86/0.82 inference(symmetry,[status(thm)],[557])).
% 0.86/0.82 tff(559,plain,
% 0.86/0.82 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)) | (double_divide(double_divide(identity, double_divide(identity, double_divide(identity, double_divide(identity, b3)))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(identity, b3))), double_divide(double_divide(identity, identity), double_divide(b3, a3))))) = double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))))),
% 0.86/0.82 inference(quant_inst,[status(thm)],[])).
% 0.86/0.82 tff(560,plain,
% 0.86/0.82 (double_divide(double_divide(identity, double_divide(identity, double_divide(identity, double_divide(identity, b3)))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(identity, b3))), double_divide(double_divide(identity, identity), double_divide(b3, a3))))) = double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))),
% 0.86/0.82 inference(unit_resolution,[status(thm)],[559, 47])).
% 0.86/0.82 tff(561,plain,
% 0.86/0.82 (double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))) = double_divide(double_divide(identity, double_divide(identity, double_divide(identity, double_divide(identity, b3)))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(identity, b3))), double_divide(double_divide(identity, identity), double_divide(b3, a3)))))),
% 0.86/0.82 inference(symmetry,[status(thm)],[560])).
% 0.86/0.82 tff(562,plain,
% 0.86/0.82 (double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(identity, double_divide(identity, a3))) = double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(identity, identity), double_divide(b3, a3))))),
% 0.86/0.82 inference(transitivity,[status(thm)],[228, 222, 88, 87, 24, 75, 164])).
% 0.86/0.82 tff(563,plain,
% 0.86/0.82 (double_divide(b3, a3) = double_divide(double_divide(identity, double_divide(b3, a3)), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(b3, double_divide(identity, double_divide(identity, a3))), identity)), double_divide(identity, identity)), double_divide(double_divide(b3, a3), double_divide(double_divide(b3, double_divide(identity, double_divide(identity, a3))), identity))))),
% 0.86/0.82 inference(symmetry,[status(thm)],[131])).
% 0.86/0.82 tff(564,plain,
% 0.86/0.82 (double_divide(b3, double_divide(identity, double_divide(identity, a3))) = double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))),
% 0.86/0.82 inference(transitivity,[status(thm)],[270, 563, 312, 330])).
% 0.86/0.82 tff(565,plain,
% 0.86/0.82 (double_divide(double_divide(b3, double_divide(identity, double_divide(identity, a3))), double_divide(identity, identity)) = double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), identity))))),
% 0.86/0.82 inference(monotonicity,[status(thm)],[564, 286])).
% 0.86/0.82 tff(566,plain,
% 0.86/0.82 (double_divide(double_divide(b3, double_divide(identity, double_divide(identity, a3))), double_divide(identity, identity)) = double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))))),
% 0.86/0.82 inference(transitivity,[status(thm)],[565, 309, 283])).
% 0.86/0.82 tff(567,plain,
% 0.86/0.82 (double_divide(double_divide(double_divide(b3, double_divide(identity, double_divide(identity, a3))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(identity, double_divide(identity, a3)))) = double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(identity, identity), double_divide(b3, a3)))))),
% 0.86/0.82 inference(monotonicity,[status(thm)],[566, 562])).
% 0.86/0.82 tff(568,plain,
% 0.86/0.82 (double_divide(double_divide(double_divide(b3, double_divide(identity, double_divide(identity, a3))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(identity, double_divide(identity, a3)))) = double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, b3)), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(identity, identity)))),
% 0.86/0.82 inference(transitivity,[status(thm)],[567, 330, 561, 558])).
% 0.86/0.82 tff(569,plain,
% 0.86/0.82 (double_divide(double_divide(identity, double_divide(identity, double_divide(identity, double_divide(identity, a3)))), double_divide(double_divide(double_divide(b3, double_divide(identity, double_divide(identity, a3))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(identity, double_divide(identity, a3))))) = double_divide(double_divide(identity, double_divide(identity, double_divide(identity, double_divide(identity, a3)))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, b3)), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(identity, identity))))),
% 0.86/0.82 inference(monotonicity,[status(thm)],[568])).
% 0.86/0.82 tff(570,plain,
% 0.86/0.82 (double_divide(double_divide(identity, double_divide(identity, double_divide(identity, double_divide(identity, a3)))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, b3)), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(identity, identity)))) = double_divide(double_divide(identity, double_divide(identity, double_divide(identity, double_divide(identity, a3)))), double_divide(double_divide(double_divide(b3, double_divide(identity, double_divide(identity, a3))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(identity, double_divide(identity, a3)))))),
% 0.86/0.82 inference(symmetry,[status(thm)],[569])).
% 0.86/0.82 tff(571,plain,
% 0.86/0.82 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)) | (double_divide(double_divide(identity, double_divide(identity, double_divide(identity, double_divide(identity, a3)))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, b3)), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(identity, identity)))) = double_divide(identity, double_divide(identity, b3)))),
% 0.86/0.82 inference(quant_inst,[status(thm)],[])).
% 0.86/0.82 tff(572,plain,
% 0.86/0.82 (double_divide(double_divide(identity, double_divide(identity, double_divide(identity, double_divide(identity, a3)))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, b3)), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(identity, identity)))) = double_divide(identity, double_divide(identity, b3))),
% 0.86/0.82 inference(unit_resolution,[status(thm)],[571, 47])).
% 0.86/0.82 tff(573,plain,
% 0.86/0.82 (double_divide(identity, double_divide(identity, b3)) = double_divide(double_divide(identity, double_divide(identity, double_divide(identity, double_divide(identity, a3)))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, b3)), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(identity, a3))), double_divide(identity, identity))))),
% 0.86/0.82 inference(symmetry,[status(thm)],[572])).
% 0.86/0.82 tff(574,plain,
% 0.86/0.82 (double_divide(identity, double_divide(identity, b3)) = b3),
% 0.86/0.82 inference(transitivity,[status(thm)],[573, 570, 552])).
% 0.86/0.82 tff(575,plain,
% 0.86/0.82 (double_divide(double_divide(identity, double_divide(identity, double_divide(identity, c3))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), double_divide(identity, c3)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, c3)), double_divide(identity, c3)))) = double_divide(double_divide(identity, c3), double_divide(double_divide(double_divide(c3, b3), double_divide(identity, identity)), double_divide(c3, b3)))),
% 0.86/0.82 inference(symmetry,[status(thm)],[442])).
% 0.86/0.82 tff(576,plain,
% 0.86/0.82 (double_divide(identity, double_divide(identity, c3)) = double_divide(double_divide(identity, double_divide(identity, double_divide(identity, c3))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), double_divide(identity, c3)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, c3)), double_divide(identity, c3))))),
% 0.86/0.82 inference(symmetry,[status(thm)],[407])).
% 0.86/0.82 tff(577,plain,
% 0.86/0.82 (double_divide(identity, double_divide(identity, c3)) = c3),
% 0.86/0.82 inference(transitivity,[status(thm)],[576, 575, 345])).
% 0.86/0.82 tff(578,plain,
% 0.86/0.82 (double_divide(double_divide(identity, double_divide(identity, c3)), double_divide(identity, double_divide(identity, b3))) = double_divide(c3, b3)),
% 0.86/0.82 inference(monotonicity,[status(thm)],[577, 574])).
% 0.86/0.82 tff(579,plain,
% 0.86/0.82 (double_divide(double_divide(identity, double_divide(identity, c3)), double_divide(identity, double_divide(identity, b3))) = double_divide(double_divide(double_divide(double_divide(identity, double_divide(c3, b3)), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, identity), double_divide(identity, identity)))),
% 0.86/0.82 inference(transitivity,[status(thm)],[578, 392, 391, 550])).
% 0.86/0.82 tff(580,plain,
% 0.86/0.82 (double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(identity, b3))), double_divide(identity, double_divide(identity, b3))), double_divide(identity, identity)) = double_divide(identity, double_divide(identity, identity))),
% 0.86/0.82 inference(transitivity,[status(thm)],[456, 70, 23, 57])).
% 0.86/0.82 tff(581,plain,
% 0.86/0.82 (double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(identity, b3))), double_divide(identity, double_divide(identity, b3))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, c3)), double_divide(identity, double_divide(identity, b3)))) = double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(identity, double_divide(c3, b3)), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, identity), double_divide(identity, identity))))),
% 0.86/0.82 inference(monotonicity,[status(thm)],[580, 579])).
% 0.86/0.82 tff(582,plain,
% 0.86/0.82 (double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(identity, double_divide(c3, b3)), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, identity), double_divide(identity, identity)))) = double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(identity, b3))), double_divide(identity, double_divide(identity, b3))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, c3)), double_divide(identity, double_divide(identity, b3))))),
% 0.86/0.82 inference(symmetry,[status(thm)],[581])).
% 0.86/0.82 tff(583,plain,
% 0.86/0.82 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)) | (double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(identity, double_divide(c3, b3)), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, identity), double_divide(identity, identity)))) = double_divide(identity, double_divide(c3, b3)))),
% 0.86/0.82 inference(quant_inst,[status(thm)],[])).
% 0.86/0.82 tff(584,plain,
% 0.86/0.82 (double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(identity, double_divide(c3, b3)), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, identity), double_divide(identity, identity)))) = double_divide(identity, double_divide(c3, b3))),
% 0.86/0.82 inference(unit_resolution,[status(thm)],[583, 47])).
% 0.86/0.82 tff(585,plain,
% 0.86/0.82 (double_divide(identity, double_divide(c3, b3)) = double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(identity, double_divide(c3, b3)), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, identity), double_divide(identity, identity))))),
% 0.86/0.82 inference(symmetry,[status(thm)],[584])).
% 0.86/0.82 tff(586,plain,
% 0.86/0.82 (double_divide(double_divide(identity, double_divide(double_divide(c3, b3), identity)), double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), double_divide(multiply(b3, c3), identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(c3, b3), identity), double_divide(multiply(b3, c3), identity)))) = double_divide(double_divide(identity, double_divide(double_divide(c3, b3), identity)), double_divide(double_divide(double_divide(double_divide(identity, double_divide(c3, b3)), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(c3, b3), identity), double_divide(identity, identity))))),
% 0.86/0.82 inference(symmetry,[status(thm)],[386])).
% 0.86/0.82 tff(587,plain,
% 0.86/0.82 (double_divide(double_divide(c3, b3), identity) = double_divide(double_divide(identity, double_divide(double_divide(c3, b3), identity)), double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), double_divide(multiply(b3, c3), identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(c3, b3), identity), double_divide(multiply(b3, c3), identity))))),
% 0.86/0.82 inference(symmetry,[status(thm)],[364])).
% 0.86/0.82 tff(588,plain,
% 0.86/0.82 (double_divide(double_divide(c3, b3), identity) = double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(identity, b3))), double_divide(identity, double_divide(identity, b3))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, c3)), double_divide(identity, double_divide(identity, b3))))),
% 0.86/0.82 inference(transitivity,[status(thm)],[587, 586, 388, 585, 582])).
% 0.86/0.82 tff(589,plain,
% 0.86/0.82 (double_divide(double_divide(identity, c3), double_divide(double_divide(c3, b3), identity)) = double_divide(double_divide(identity, double_divide(identity, double_divide(identity, c3))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(identity, b3))), double_divide(identity, double_divide(identity, b3))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, c3)), double_divide(identity, double_divide(identity, b3)))))),
% 0.86/0.82 inference(monotonicity,[status(thm)],[441, 588])).
% 0.86/0.82 tff(590,plain,
% 0.86/0.82 (double_divide(double_divide(identity, c3), double_divide(double_divide(c3, b3), identity)) = double_divide(identity, double_divide(identity, double_divide(identity, b3)))),
% 0.86/0.82 inference(transitivity,[status(thm)],[589, 547])).
% 0.86/0.82 tff(591,plain,
% 0.86/0.82 (double_divide(double_divide(double_divide(identity, c3), double_divide(double_divide(c3, b3), identity)), double_divide(identity, identity)) = double_divide(double_divide(identity, double_divide(identity, double_divide(identity, b3))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, b3)), double_divide(identity, b3)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, b3)), double_divide(identity, b3))))),
% 0.86/0.82 inference(monotonicity,[status(thm)],[590, 545])).
% 0.86/0.82 tff(592,plain,
% 0.86/0.82 (double_divide(double_divide(double_divide(identity, c3), double_divide(double_divide(c3, b3), identity)), double_divide(identity, identity)) = double_divide(identity, double_divide(identity, double_divide(identity, double_divide(identity, b3))))),
% 0.86/0.82 inference(transitivity,[status(thm)],[591, 540, 483, 480])).
% 0.86/0.82 tff(593,plain,
% 0.86/0.82 (double_divide(double_divide(double_divide(double_divide(identity, c3), double_divide(double_divide(c3, b3), identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), double_divide(double_divide(c3, b3), identity))) = double_divide(double_divide(identity, double_divide(identity, double_divide(identity, double_divide(identity, b3)))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(identity, b3))), double_divide(double_divide(identity, identity), double_divide(b3, a3)))))),
% 0.86/0.82 inference(monotonicity,[status(thm)],[592, 538])).
% 0.86/0.82 tff(594,plain,
% 0.86/0.82 (double_divide(double_divide(identity, double_divide(identity, double_divide(identity, double_divide(identity, b3)))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(identity, b3))), double_divide(double_divide(identity, identity), double_divide(b3, a3))))) = double_divide(double_divide(double_divide(double_divide(identity, c3), double_divide(double_divide(c3, b3), identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), double_divide(double_divide(c3, b3), identity)))),
% 0.86/0.82 inference(symmetry,[status(thm)],[593])).
% 0.86/0.82 tff(595,plain,
% 0.86/0.82 (double_divide(b3, a3) = double_divide(double_divide(double_divide(double_divide(identity, c3), double_divide(double_divide(c3, b3), identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), double_divide(double_divide(c3, b3), identity)))),
% 0.86/0.82 inference(transitivity,[status(thm)],[563, 312, 330, 561, 594])).
% 0.86/0.82 tff(596,plain,
% 0.86/0.82 (double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity) = double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3))),
% 0.86/0.83 inference(transitivity,[status(thm)],[123, 126])).
% 0.86/0.83 tff(597,plain,
% 0.86/0.83 (double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity), double_divide(b3, a3)) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)), double_divide(double_divide(double_divide(double_divide(identity, c3), double_divide(double_divide(c3, b3), identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), double_divide(double_divide(c3, b3), identity))))),
% 0.86/0.83 inference(monotonicity,[status(thm)],[596, 595])).
% 0.86/0.83 tff(598,plain,
% 0.86/0.83 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)), double_divide(double_divide(double_divide(double_divide(identity, c3), double_divide(double_divide(c3, b3), identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), double_divide(double_divide(c3, b3), identity)))) = double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity), double_divide(b3, a3))),
% 0.86/0.83 inference(symmetry,[status(thm)],[597])).
% 0.86/0.83 tff(599,plain,
% 0.86/0.83 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)) | (double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)), double_divide(double_divide(double_divide(double_divide(identity, c3), double_divide(double_divide(c3, b3), identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), double_divide(double_divide(c3, b3), identity)))) = double_divide(identity, c3))),
% 0.86/0.83 inference(quant_inst,[status(thm)],[])).
% 0.86/0.83 tff(600,plain,
% 0.86/0.83 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)), double_divide(double_divide(double_divide(double_divide(identity, c3), double_divide(double_divide(c3, b3), identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), double_divide(double_divide(c3, b3), identity)))) = double_divide(identity, c3)),
% 0.86/0.83 inference(unit_resolution,[status(thm)],[599, 47])).
% 0.86/0.83 tff(601,plain,
% 0.86/0.83 (double_divide(identity, c3) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), a3)), double_divide(double_divide(double_divide(double_divide(identity, c3), double_divide(double_divide(c3, b3), identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), double_divide(double_divide(c3, b3), identity))))),
% 0.86/0.83 inference(symmetry,[status(thm)],[600])).
% 0.86/0.83 tff(602,plain,
% 0.86/0.83 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)) | (double_divide(double_divide(identity, double_divide(b3, a3)), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(b3, a3), double_divide(identity, identity)))) = double_divide(identity, double_divide(identity, c3)))),
% 0.86/0.83 inference(quant_inst,[status(thm)],[])).
% 0.86/0.83 tff(603,plain,
% 0.86/0.83 (double_divide(double_divide(identity, double_divide(b3, a3)), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(b3, a3), double_divide(identity, identity)))) = double_divide(identity, double_divide(identity, c3))),
% 0.86/0.83 inference(unit_resolution,[status(thm)],[602, 47])).
% 0.86/0.83 tff(604,plain,
% 0.86/0.83 (a3 = double_divide(double_divide(identity, a3), double_divide(double_divide(double_divide(a3, inverse(a3)), double_divide(identity, identity)), double_divide(a3, inverse(a3))))),
% 0.86/0.83 inference(symmetry,[status(thm)],[172])).
% 0.86/0.83 tff(605,plain,
% 0.86/0.83 (a3 = double_divide(identity, double_divide(identity, a3))),
% 0.86/0.83 inference(transitivity,[status(thm)],[604, 182, 264, 267])).
% 0.86/0.83 tff(606,plain,
% 0.86/0.83 (multiply(a3, b3) = multiply(double_divide(identity, double_divide(identity, a3)), b3)),
% 0.86/0.83 inference(monotonicity,[status(thm)],[605])).
% 0.86/0.83 tff(607,plain,
% 0.86/0.83 (multiply(double_divide(identity, double_divide(identity, a3)), b3) = multiply(a3, b3)),
% 0.86/0.83 inference(symmetry,[status(thm)],[606])).
% 0.86/0.83 tff(608,plain,
% 0.86/0.83 ((~![Y: $i, X: $i] : (multiply(X, Y) = double_divide(double_divide(Y, X), identity))) | (multiply(double_divide(identity, double_divide(identity, a3)), b3) = double_divide(double_divide(b3, double_divide(identity, double_divide(identity, a3))), identity))),
% 0.86/0.83 inference(quant_inst,[status(thm)],[])).
% 0.86/0.83 tff(609,plain,
% 0.86/0.83 (multiply(double_divide(identity, double_divide(identity, a3)), b3) = double_divide(double_divide(b3, double_divide(identity, double_divide(identity, a3))), identity)),
% 0.86/0.83 inference(unit_resolution,[status(thm)],[608, 7])).
% 0.86/0.83 tff(610,plain,
% 0.86/0.83 (double_divide(double_divide(b3, double_divide(identity, double_divide(identity, a3))), identity) = multiply(double_divide(identity, double_divide(identity, a3)), b3)),
% 0.86/0.83 inference(symmetry,[status(thm)],[609])).
% 0.86/0.83 tff(611,plain,
% 0.86/0.83 (double_divide(double_divide(b3, a3), double_divide(identity, identity)) = double_divide(double_divide(b3, double_divide(identity, double_divide(identity, a3))), identity)),
% 0.86/0.83 inference(monotonicity,[status(thm)],[271, 89])).
% 0.86/0.83 tff(612,plain,
% 0.86/0.83 (double_divide(double_divide(b3, a3), double_divide(identity, identity)) = multiply(a3, b3)),
% 0.86/0.83 inference(transitivity,[status(thm)],[611, 610, 607])).
% 0.86/0.83 tff(613,plain,
% 0.86/0.83 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)) | (double_divide(double_divide(identity, double_divide(identity, c3)), double_divide(double_divide(double_divide(double_divide(identity, c3), c3), double_divide(identity, identity)), double_divide(double_divide(identity, c3), c3))) = double_divide(identity, c3))),
% 0.86/0.83 inference(quant_inst,[status(thm)],[])).
% 0.86/0.83 tff(614,plain,
% 0.86/0.83 (double_divide(double_divide(identity, double_divide(identity, c3)), double_divide(double_divide(double_divide(double_divide(identity, c3), c3), double_divide(identity, identity)), double_divide(double_divide(identity, c3), c3))) = double_divide(identity, c3)),
% 0.86/0.83 inference(unit_resolution,[status(thm)],[613, 47])).
% 0.86/0.83 tff(615,plain,
% 0.86/0.83 (double_divide(double_divide(identity, c3), c3) = double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity)))),
% 0.86/0.83 inference(transitivity,[status(thm)],[430, 421, 23, 59, 49, 40])).
% 0.86/0.83 tff(616,plain,
% 0.86/0.83 (double_divide(double_divide(double_divide(identity, c3), c3), double_divide(identity, identity)) = double_divide(identity, identity)),
% 0.86/0.83 inference(transitivity,[status(thm)],[432, 70, 23, 59, 49])).
% 0.86/0.83 tff(617,plain,
% 0.86/0.83 (double_divide(double_divide(double_divide(double_divide(identity, c3), c3), double_divide(identity, identity)), double_divide(double_divide(identity, c3), c3)) = double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity))))),
% 0.86/0.83 inference(monotonicity,[status(thm)],[616, 615])).
% 0.86/0.83 tff(618,plain,
% 0.86/0.83 (double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity)))) = double_divide(double_divide(double_divide(double_divide(identity, c3), c3), double_divide(identity, identity)), double_divide(double_divide(identity, c3), c3))),
% 0.86/0.83 inference(symmetry,[status(thm)],[617])).
% 0.86/0.83 tff(619,plain,
% 0.86/0.83 (double_divide(identity, identity) = double_divide(double_divide(double_divide(double_divide(identity, c3), c3), double_divide(identity, identity)), double_divide(double_divide(identity, c3), c3))),
% 0.86/0.83 inference(transitivity,[status(thm)],[88, 87, 24, 75, 618])).
% 0.86/0.83 tff(620,plain,
% 0.86/0.83 (double_divide(double_divide(identity, double_divide(identity, c3)), double_divide(identity, identity)) = double_divide(double_divide(identity, double_divide(identity, c3)), double_divide(double_divide(double_divide(double_divide(identity, c3), c3), double_divide(identity, identity)), double_divide(double_divide(identity, c3), c3)))),
% 0.86/0.83 inference(monotonicity,[status(thm)],[619])).
% 0.86/0.83 tff(621,plain,
% 0.86/0.83 (double_divide(double_divide(identity, double_divide(identity, c3)), double_divide(identity, identity)) = double_divide(identity, c3)),
% 0.86/0.83 inference(transitivity,[status(thm)],[620, 614])).
% 0.86/0.83 tff(622,plain,
% 0.86/0.83 (double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), double_divide(identity, identity)), double_divide(identity, identity)) = double_divide(double_divide(identity, c3), double_divide(double_divide(double_divide(c3, b3), double_divide(identity, identity)), double_divide(c3, b3)))),
% 0.86/0.83 inference(monotonicity,[status(thm)],[621, 398])).
% 0.86/0.83 tff(623,plain,
% 0.86/0.83 (double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), double_divide(identity, identity)), double_divide(identity, identity)) = double_divide(identity, double_divide(identity, c3))),
% 0.86/0.83 inference(transitivity,[status(thm)],[622, 442, 407])).
% 0.86/0.83 tff(624,plain,
% 0.86/0.83 (double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(b3, a3), double_divide(identity, identity))) = double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))),
% 0.86/0.83 inference(monotonicity,[status(thm)],[623, 612])).
% 0.86/0.83 tff(625,plain,
% 0.86/0.83 (double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)) = double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(b3, a3), double_divide(identity, identity)))),
% 0.86/0.83 inference(symmetry,[status(thm)],[624])).
% 0.86/0.83 tff(626,plain,
% 0.86/0.83 (double_divide(double_divide(identity, identity), double_divide(b3, a3)) = double_divide(identity, double_divide(b3, a3))),
% 0.86/0.83 inference(symmetry,[status(thm)],[310])).
% 0.86/0.83 tff(627,plain,
% 0.86/0.83 (double_divide(double_divide(identity, double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))))) = double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), identity))))),
% 0.86/0.83 inference(symmetry,[status(thm)],[309])).
% 0.86/0.83 tff(628,plain,
% 0.86/0.83 (double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))) = double_divide(double_divide(identity, double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))))))),
% 0.86/0.83 inference(symmetry,[status(thm)],[283])).
% 0.86/0.83 tff(629,plain,
% 0.86/0.83 (double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))) = double_divide(identity, double_divide(b3, a3))),
% 0.86/0.83 inference(transitivity,[status(thm)],[628, 627, 155, 626])).
% 0.86/0.83 tff(630,plain,
% 0.86/0.83 (double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))) = double_divide(double_divide(identity, double_divide(b3, a3)), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(b3, a3), double_divide(identity, identity))))),
% 0.86/0.83 inference(monotonicity,[status(thm)],[629, 625])).
% 0.86/0.83 tff(631,plain,
% 0.86/0.83 (double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))) = double_divide(identity, double_divide(identity, c3))),
% 0.86/0.83 inference(transitivity,[status(thm)],[630, 603])).
% 0.86/0.83 tff(632,plain,
% 0.86/0.83 ((~![X: $i] : (identity = double_divide(X, inverse(X)))) | (identity = double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))), inverse(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))))))),
% 0.86/0.83 inference(quant_inst,[status(thm)],[])).
% 0.86/0.83 tff(633,plain,
% 0.86/0.83 (identity = double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))), inverse(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)))))),
% 0.86/0.83 inference(unit_resolution,[status(thm)],[632, 21])).
% 0.86/0.83 tff(634,plain,
% 0.86/0.83 (double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))), inverse(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))))) = identity),
% 0.86/0.83 inference(symmetry,[status(thm)],[633])).
% 0.86/0.83 tff(635,plain,
% 0.86/0.83 ((~![X: $i] : (inverse(X) = double_divide(X, identity))) | (inverse(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)))) = double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))), identity))),
% 0.86/0.83 inference(quant_inst,[status(thm)],[])).
% 0.86/0.83 tff(636,plain,
% 0.86/0.83 (inverse(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)))) = double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))), identity)),
% 0.86/0.83 inference(unit_resolution,[status(thm)],[635, 31])).
% 0.86/0.83 tff(637,plain,
% 0.86/0.83 (double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))), identity) = inverse(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))))),
% 0.86/0.83 inference(symmetry,[status(thm)],[636])).
% 0.86/0.83 tff(638,plain,
% 0.86/0.83 ((~![X: $i] : (identity = double_divide(X, inverse(X)))) | (identity = double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)), inverse(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)))))),
% 0.86/0.83 inference(quant_inst,[status(thm)],[])).
% 0.86/0.83 tff(639,plain,
% 0.86/0.83 (identity = double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)), inverse(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))))),
% 0.86/0.83 inference(unit_resolution,[status(thm)],[638, 21])).
% 0.86/0.83 tff(640,plain,
% 0.86/0.83 (double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)), inverse(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)))) = identity),
% 0.86/0.83 inference(symmetry,[status(thm)],[639])).
% 0.86/0.83 tff(641,plain,
% 0.86/0.83 ((~![X: $i] : (inverse(X) = double_divide(X, identity))) | (inverse(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))) = double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)), identity))),
% 0.86/0.83 inference(quant_inst,[status(thm)],[])).
% 0.86/0.83 tff(642,plain,
% 0.86/0.83 (inverse(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))) = double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)), identity)),
% 0.86/0.83 inference(unit_resolution,[status(thm)],[641, 31])).
% 0.86/0.83 tff(643,plain,
% 0.86/0.83 (double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)), identity) = inverse(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)))),
% 0.86/0.83 inference(symmetry,[status(thm)],[642])).
% 0.86/0.83 tff(644,plain,
% 0.86/0.83 (double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)), double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)), identity)) = double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)), inverse(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))))),
% 0.86/0.83 inference(monotonicity,[status(thm)],[643])).
% 0.86/0.83 tff(645,plain,
% 0.86/0.83 (double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)), double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)), identity)) = double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity)))),
% 0.86/0.83 inference(transitivity,[status(thm)],[644, 640, 23, 59, 49, 40])).
% 0.86/0.83 tff(646,plain,
% 0.86/0.83 (double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)), double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)), identity)) = double_divide(identity, identity)),
% 0.86/0.83 inference(transitivity,[status(thm)],[644, 640, 23, 59, 49])).
% 0.86/0.83 tff(647,plain,
% 0.86/0.83 (double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)), double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)), identity)), double_divide(identity, identity)) = double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity))))),
% 0.86/0.83 inference(monotonicity,[status(thm)],[646, 40])).
% 0.86/0.83 tff(648,plain,
% 0.86/0.83 (double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)), double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)), identity)), double_divide(identity, identity)) = double_divide(identity, identity)),
% 0.86/0.83 inference(transitivity,[status(thm)],[647, 70, 23, 59, 49])).
% 0.86/0.83 tff(649,plain,
% 0.86/0.83 (double_divide(double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)), double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)), identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)), double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)), identity))) = double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity))))),
% 0.86/0.83 inference(monotonicity,[status(thm)],[648, 645])).
% 0.86/0.83 tff(650,plain,
% 0.86/0.83 (double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity)))) = double_divide(double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)), double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)), identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)), double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)), identity)))),
% 0.86/0.83 inference(symmetry,[status(thm)],[649])).
% 0.86/0.83 tff(651,plain,
% 0.86/0.83 (identity = double_divide(double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)), double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)), identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)), double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)), identity)))),
% 0.86/0.83 inference(transitivity,[status(thm)],[75, 650])).
% 0.86/0.83 tff(652,plain,
% 0.86/0.83 (double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))), identity) = double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))), double_divide(double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)), double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)), identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)), double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)), identity))))),
% 0.86/0.83 inference(monotonicity,[status(thm)],[651])).
% 0.86/0.83 tff(653,plain,
% 0.86/0.83 (double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))), double_divide(double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)), double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)), identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)), double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)), identity)))) = double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))), identity)),
% 0.86/0.83 inference(symmetry,[status(thm)],[652])).
% 0.86/0.83 tff(654,plain,
% 0.86/0.83 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)) | (double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))), double_divide(double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)), double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)), identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)), double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)), identity)))) = double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)))),
% 0.86/0.83 inference(quant_inst,[status(thm)],[])).
% 0.86/0.83 tff(655,plain,
% 0.86/0.83 (double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))), double_divide(double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)), double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)), identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)), double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)), identity)))) = double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))),
% 0.86/0.83 inference(unit_resolution,[status(thm)],[654, 47])).
% 0.86/0.83 tff(656,plain,
% 0.86/0.83 (double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)) = double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))), double_divide(double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)), double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)), identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)), double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)), identity))))),
% 0.86/0.83 inference(symmetry,[status(thm)],[655])).
% 0.86/0.83 tff(657,plain,
% 0.86/0.83 (double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)) = inverse(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))))),
% 0.86/0.83 inference(transitivity,[status(thm)],[656, 653, 637])).
% 0.86/0.83 tff(658,plain,
% 0.86/0.83 (double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))), double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))) = double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))), inverse(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)))))),
% 0.86/0.83 inference(monotonicity,[status(thm)],[657])).
% 0.86/0.83 tff(659,plain,
% 0.86/0.83 (double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))), double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))) = double_divide(identity, identity)),
% 0.86/0.83 inference(transitivity,[status(thm)],[658, 634, 23, 59, 49])).
% 0.86/0.83 tff(660,plain,
% 0.86/0.83 (double_divide(double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))), double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))), double_divide(identity, identity)) = double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity))))),
% 0.86/0.83 inference(monotonicity,[status(thm)],[659, 40])).
% 0.86/0.83 tff(661,plain,
% 0.86/0.83 (double_divide(double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))), double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))), double_divide(identity, identity)) = identity),
% 0.86/0.84 inference(transitivity,[status(thm)],[660, 70])).
% 0.86/0.84 tff(662,plain,
% 0.86/0.84 (double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))), double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)))) = double_divide(identity, double_divide(identity, double_divide(identity, c3)))),
% 0.86/0.84 inference(monotonicity,[status(thm)],[661, 631])).
% 0.86/0.84 tff(663,plain,
% 0.86/0.84 (double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))), double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)))) = double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity), double_divide(b3, a3))),
% 0.86/0.84 inference(transitivity,[status(thm)],[662, 436, 439, 601, 598])).
% 0.86/0.84 tff(664,plain,
% 0.86/0.84 (double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(identity, identity), double_divide(b3, a3))))) = double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(identity, identity))),
% 0.86/0.84 inference(symmetry,[status(thm)],[332])).
% 0.86/0.84 tff(665,plain,
% 0.86/0.84 (double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))) = double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(identity, identity), double_divide(b3, a3)))))),
% 0.86/0.84 inference(symmetry,[status(thm)],[330])).
% 0.86/0.84 tff(666,plain,
% 0.86/0.84 (double_divide(identity, double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))))) = double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(identity, identity))),
% 0.86/0.84 inference(transitivity,[status(thm)],[303, 306, 665, 664])).
% 0.86/0.84 tff(667,plain,
% 0.86/0.84 (double_divide(double_divide(identity, double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))), double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))))) = double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(identity, identity)), double_divide(double_divide(double_divide(double_divide(double_divide(c3, b3), identity), a3), identity), double_divide(b3, a3)))),
% 0.86/0.84 inference(monotonicity,[status(thm)],[666, 663])).
% 0.86/0.84 tff(668,plain,
% 0.86/0.84 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)) | (double_divide(double_divide(identity, double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))), double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))))) = double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))))),
% 0.86/0.84 inference(quant_inst,[status(thm)],[])).
% 0.86/0.84 tff(669,plain,
% 0.86/0.84 (double_divide(double_divide(identity, double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))), double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))))) = double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)))),
% 0.86/0.84 inference(unit_resolution,[status(thm)],[668, 47])).
% 0.86/0.84 tff(670,plain,
% 0.86/0.84 (double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))) = double_divide(double_divide(identity, double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))), double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)))))),
% 0.86/0.84 inference(symmetry,[status(thm)],[669])).
% 0.86/0.84 tff(671,plain,
% 0.86/0.84 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)) | (double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))), double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))), double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))))) = double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))))),
% 0.86/0.84 inference(quant_inst,[status(thm)],[])).
% 0.90/0.84 tff(672,plain,
% 0.90/0.84 (double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))), double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))), double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))))) = double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)))),
% 0.90/0.84 inference(unit_resolution,[status(thm)],[671, 47])).
% 0.90/0.84 tff(673,plain,
% 0.90/0.84 (double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))), double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))) = double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity)))),
% 0.90/0.84 inference(transitivity,[status(thm)],[658, 634, 23, 59, 49, 40])).
% 0.90/0.84 tff(674,plain,
% 0.90/0.84 (double_divide(double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))), double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))), double_divide(identity, identity)) = double_divide(identity, identity)),
% 0.90/0.84 inference(transitivity,[status(thm)],[660, 70, 23, 59, 49])).
% 0.90/0.84 tff(675,plain,
% 0.90/0.84 (double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))), double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))), double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)))) = double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity))))),
% 0.90/0.84 inference(monotonicity,[status(thm)],[674, 673])).
% 0.90/0.84 tff(676,plain,
% 0.90/0.84 (double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity)))) = double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))), double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))), double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))))),
% 0.90/0.84 inference(symmetry,[status(thm)],[675])).
% 0.90/0.84 tff(677,plain,
% 0.90/0.84 (identity = double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))), double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))), double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))))),
% 0.90/0.84 inference(transitivity,[status(thm)],[75, 676])).
% 0.90/0.84 tff(678,plain,
% 0.90/0.84 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)) | (double_divide(double_divide(identity, double_divide(identity, c3)), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)))), double_divide(identity, double_divide(identity, c3))), double_divide(identity, identity)), double_divide(double_divide(identity, c3), double_divide(identity, double_divide(identity, c3))))) = double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)))))),
% 0.90/0.84 inference(quant_inst,[status(thm)],[])).
% 0.90/0.84 tff(679,plain,
% 0.90/0.84 (double_divide(double_divide(identity, double_divide(identity, c3)), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)))), double_divide(identity, double_divide(identity, c3))), double_divide(identity, identity)), double_divide(double_divide(identity, c3), double_divide(identity, double_divide(identity, c3))))) = double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))))),
% 0.90/0.84 inference(unit_resolution,[status(thm)],[678, 47])).
% 0.90/0.84 tff(680,plain,
% 0.90/0.84 (double_divide(double_divide(b3, double_divide(identity, double_divide(identity, a3))), identity) = double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), identity))))),
% 0.90/0.84 inference(monotonicity,[status(thm)],[564, 151])).
% 0.90/0.84 tff(681,plain,
% 0.90/0.84 (double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), identity)))) = double_divide(double_divide(b3, double_divide(identity, double_divide(identity, a3))), identity)),
% 0.90/0.84 inference(symmetry,[status(thm)],[680])).
% 0.90/0.84 tff(682,plain,
% 0.90/0.84 (double_divide(identity, double_divide(identity, c3)) = inverse(double_divide(identity, c3))),
% 0.90/0.84 inference(transitivity,[status(thm)],[576, 575, 427, 424])).
% 0.90/0.84 tff(683,plain,
% 0.90/0.84 (double_divide(double_divide(identity, c3), double_divide(identity, double_divide(identity, c3))) = double_divide(double_divide(identity, c3), inverse(double_divide(identity, c3)))),
% 0.90/0.84 inference(monotonicity,[status(thm)],[682])).
% 0.90/0.84 tff(684,plain,
% 0.90/0.84 (double_divide(double_divide(identity, c3), double_divide(identity, double_divide(identity, c3))) = double_divide(double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), identity)))),
% 0.90/0.84 inference(transitivity,[status(thm)],[683, 421, 75, 150])).
% 0.90/0.84 tff(685,plain,
% 0.90/0.84 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)) | (double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))), double_divide(identity, identity)))) = double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))))),
% 0.90/0.84 inference(quant_inst,[status(thm)],[])).
% 0.90/0.84 tff(686,plain,
% 0.90/0.84 (double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))), double_divide(identity, identity)))) = double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))))),
% 0.90/0.84 inference(unit_resolution,[status(thm)],[685, 47])).
% 0.90/0.84 tff(687,plain,
% 0.90/0.84 (double_divide(identity, identity) = double_divide(double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)), double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)), identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)), double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)), identity)))),
% 0.90/0.84 inference(transitivity,[status(thm)],[88, 87, 24, 75, 650])).
% 0.90/0.84 tff(688,plain,
% 0.90/0.84 (double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))), double_divide(identity, identity)) = double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))), double_divide(double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)), double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)), identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)), double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)), identity))))),
% 0.90/0.84 inference(monotonicity,[status(thm)],[687])).
% 0.90/0.84 tff(689,plain,
% 0.90/0.84 (double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(b3, a3), double_divide(identity, identity)))),
% 0.90/0.84 inference(transitivity,[status(thm)],[688, 655, 625])).
% 0.90/0.84 tff(690,plain,
% 0.90/0.84 (double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(identity, identity)) = double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))),
% 0.90/0.84 inference(transitivity,[status(thm)],[315, 330])).
% 0.90/0.84 tff(691,plain,
% 0.90/0.84 (double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(identity, identity)), double_divide(identity, identity)) = double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), identity))))),
% 0.90/0.84 inference(monotonicity,[status(thm)],[690, 286])).
% 0.90/0.84 tff(692,plain,
% 0.90/0.84 (double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(identity, identity)), double_divide(identity, identity)) = double_divide(identity, double_divide(b3, a3))),
% 0.90/0.84 inference(transitivity,[status(thm)],[691, 155, 626])).
% 0.90/0.84 tff(693,plain,
% 0.90/0.84 (double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))), double_divide(identity, identity))) = double_divide(double_divide(identity, double_divide(b3, a3)), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(b3, a3), double_divide(identity, identity))))),
% 0.90/0.84 inference(monotonicity,[status(thm)],[692, 689])).
% 0.90/0.84 tff(694,plain,
% 0.90/0.84 (double_divide(double_divide(identity, double_divide(b3, a3)), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(b3, a3), double_divide(identity, identity)))) = double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))), double_divide(identity, identity)))),
% 0.90/0.84 inference(symmetry,[status(thm)],[693])).
% 0.90/0.84 tff(695,plain,
% 0.90/0.84 (double_divide(identity, double_divide(identity, c3)) = double_divide(double_divide(identity, double_divide(b3, a3)), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(b3, a3), double_divide(identity, identity))))),
% 0.90/0.84 inference(symmetry,[status(thm)],[603])).
% 0.90/0.84 tff(696,plain,
% 0.90/0.84 (double_divide(identity, double_divide(identity, c3)) = double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))), double_divide(identity, identity)))),
% 0.90/0.84 inference(transitivity,[status(thm)],[695, 694])).
% 0.90/0.84 tff(697,plain,
% 0.90/0.84 (double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)))), double_divide(identity, double_divide(identity, c3))) = double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))), double_divide(identity, identity))))),
% 0.90/0.84 inference(monotonicity,[status(thm)],[696])).
% 0.90/0.84 tff(698,plain,
% 0.90/0.84 (double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)))), double_divide(identity, double_divide(identity, c3))) = double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))))),
% 0.90/0.84 inference(transitivity,[status(thm)],[697, 686])).
% 0.90/0.84 tff(699,plain,
% 0.90/0.84 (double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)))), double_divide(identity, double_divide(identity, c3))), double_divide(identity, identity)) = double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(identity, identity), double_divide(b3, a3)))))),
% 0.90/0.84 inference(monotonicity,[status(thm)],[698, 314])).
% 0.90/0.84 tff(700,plain,
% 0.90/0.84 (double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)))), double_divide(identity, double_divide(identity, c3))), double_divide(identity, identity)) = double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3)))),
% 0.90/0.84 inference(transitivity,[status(thm)],[699, 330])).
% 0.90/0.84 tff(701,plain,
% 0.90/0.84 (double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)))), double_divide(identity, double_divide(identity, c3))), double_divide(identity, identity)), double_divide(double_divide(identity, c3), double_divide(identity, double_divide(identity, c3)))) = double_divide(double_divide(identity, double_divide(double_divide(identity, identity), double_divide(b3, a3))), double_divide(double_divide(double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), identity)), double_divide(identity, identity)), double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), double_divide(double_divide(double_divide(identity, identity), double_divide(b3, a3)), identity))))),
% 0.90/0.84 inference(monotonicity,[status(thm)],[700, 684])).
% 0.90/0.84 tff(702,plain,
% 0.90/0.84 (double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)))), double_divide(identity, double_divide(identity, c3))), double_divide(identity, identity)), double_divide(double_divide(identity, c3), double_divide(identity, double_divide(identity, c3)))) = multiply(a3, b3)),
% 0.90/0.84 inference(transitivity,[status(thm)],[701, 681, 610, 607])).
% 0.90/0.84 tff(703,plain,
% 0.90/0.84 (double_divide(double_divide(identity, double_divide(identity, c3)), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)))), double_divide(identity, double_divide(identity, c3))), double_divide(identity, identity)), double_divide(double_divide(identity, c3), double_divide(identity, double_divide(identity, c3))))) = double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))),
% 0.90/0.84 inference(monotonicity,[status(thm)],[702])).
% 0.90/0.84 tff(704,plain,
% 0.90/0.84 (double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)) = double_divide(double_divide(identity, double_divide(identity, c3)), double_divide(double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)))), double_divide(identity, double_divide(identity, c3))), double_divide(identity, identity)), double_divide(double_divide(identity, c3), double_divide(identity, double_divide(identity, c3)))))),
% 0.90/0.85 inference(symmetry,[status(thm)],[703])).
% 0.90/0.85 tff(705,plain,
% 0.90/0.85 (double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)) = double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))))),
% 0.90/0.85 inference(transitivity,[status(thm)],[704, 679])).
% 0.90/0.85 tff(706,plain,
% 0.90/0.85 (double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)), identity) = double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)))), double_divide(double_divide(double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))), double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))), double_divide(identity, identity)), double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3))), double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)))))),
% 0.90/0.85 inference(monotonicity,[status(thm)],[705, 677])).
% 0.90/0.85 tff(707,plain,
% 0.90/0.85 ((~![Y: $i, X: $i] : (multiply(X, Y) = double_divide(double_divide(Y, X), identity))) | (multiply(multiply(a3, b3), double_divide(identity, double_divide(identity, c3))) = double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)), identity))),
% 0.90/0.85 inference(quant_inst,[status(thm)],[])).
% 0.90/0.85 tff(708,plain,
% 0.90/0.85 (multiply(multiply(a3, b3), double_divide(identity, double_divide(identity, c3))) = double_divide(double_divide(double_divide(identity, double_divide(identity, c3)), multiply(a3, b3)), identity)),
% 0.90/0.85 inference(unit_resolution,[status(thm)],[707, 7])).
% 0.90/0.85 tff(709,plain,
% 0.90/0.85 (c3 = double_divide(identity, double_divide(identity, c3))),
% 0.90/0.85 inference(transitivity,[status(thm)],[428, 442, 407])).
% 0.90/0.85 tff(710,plain,
% 0.90/0.85 (multiply(multiply(a3, b3), c3) = multiply(multiply(a3, b3), double_divide(identity, double_divide(identity, c3)))),
% 0.90/0.85 inference(monotonicity,[status(thm)],[709])).
% 0.90/0.85 tff(711,plain,
% 0.90/0.85 (multiply(multiply(a3, b3), c3) = multiply(a3, multiply(b3, c3))),
% 0.90/0.85 inference(transitivity,[status(thm)],[710, 708, 706, 672, 670, 667, 334, 129, 127, 124, 14, 11])).
% 0.90/0.85 tff(712,plain,
% 0.90/0.85 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)) | (double_divide(double_divide(identity, a2), double_divide(double_divide(double_divide(a2, double_divide(a2, identity)), double_divide(identity, identity)), double_divide(a2, double_divide(a2, identity)))) = a2)),
% 0.90/0.85 inference(quant_inst,[status(thm)],[])).
% 0.90/0.85 tff(713,plain,
% 0.90/0.85 (double_divide(double_divide(identity, a2), double_divide(double_divide(double_divide(a2, double_divide(a2, identity)), double_divide(identity, identity)), double_divide(a2, double_divide(a2, identity)))) = a2),
% 0.90/0.85 inference(unit_resolution,[status(thm)],[712, 47])).
% 0.90/0.85 tff(714,plain,
% 0.90/0.85 ((~![X: $i] : (identity = double_divide(X, inverse(X)))) | (identity = double_divide(a2, inverse(a2)))),
% 0.90/0.85 inference(quant_inst,[status(thm)],[])).
% 0.90/0.85 tff(715,plain,
% 0.90/0.85 (identity = double_divide(a2, inverse(a2))),
% 0.90/0.85 inference(unit_resolution,[status(thm)],[714, 21])).
% 0.90/0.85 tff(716,plain,
% 0.90/0.85 (double_divide(a2, inverse(a2)) = identity),
% 0.90/0.85 inference(symmetry,[status(thm)],[715])).
% 0.90/0.85 tff(717,plain,
% 0.90/0.85 ((~![X: $i] : (inverse(X) = double_divide(X, identity))) | (inverse(a2) = double_divide(a2, identity))),
% 0.90/0.85 inference(quant_inst,[status(thm)],[])).
% 0.90/0.85 tff(718,plain,
% 0.90/0.85 (inverse(a2) = double_divide(a2, identity)),
% 0.90/0.85 inference(unit_resolution,[status(thm)],[717, 31])).
% 0.90/0.85 tff(719,plain,
% 0.90/0.85 (double_divide(a2, identity) = inverse(a2)),
% 0.90/0.85 inference(symmetry,[status(thm)],[718])).
% 0.90/0.85 tff(720,plain,
% 0.90/0.85 (double_divide(a2, double_divide(a2, identity)) = double_divide(a2, inverse(a2))),
% 0.90/0.85 inference(monotonicity,[status(thm)],[719])).
% 0.90/0.85 tff(721,plain,
% 0.90/0.85 (double_divide(a2, double_divide(a2, identity)) = double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity)))),
% 0.90/0.85 inference(transitivity,[status(thm)],[720, 716, 23, 59, 49, 40])).
% 0.90/0.85 tff(722,plain,
% 0.90/0.85 (double_divide(a2, double_divide(a2, identity)) = double_divide(identity, identity)),
% 0.90/0.85 inference(transitivity,[status(thm)],[720, 716, 23, 59, 49])).
% 0.90/0.85 tff(723,plain,
% 0.90/0.85 (double_divide(double_divide(a2, double_divide(a2, identity)), double_divide(identity, identity)) = double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity))))),
% 0.90/0.85 inference(monotonicity,[status(thm)],[722, 40])).
% 0.90/0.85 tff(724,plain,
% 0.90/0.85 (double_divide(double_divide(a2, double_divide(a2, identity)), double_divide(identity, identity)) = double_divide(identity, identity)),
% 0.90/0.85 inference(transitivity,[status(thm)],[723, 70, 23, 59, 49])).
% 0.90/0.85 tff(725,plain,
% 0.90/0.85 (double_divide(double_divide(double_divide(a2, double_divide(a2, identity)), double_divide(identity, identity)), double_divide(a2, double_divide(a2, identity))) = double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity))))),
% 0.90/0.85 inference(monotonicity,[status(thm)],[724, 721])).
% 0.90/0.85 tff(726,plain,
% 0.90/0.85 (double_divide(double_divide(double_divide(a2, double_divide(a2, identity)), double_divide(identity, identity)), double_divide(a2, double_divide(a2, identity))) = identity),
% 0.90/0.85 inference(transitivity,[status(thm)],[725, 70])).
% 0.90/0.85 tff(727,plain,
% 0.90/0.85 (double_divide(a2, double_divide(identity, identity)) = double_divide(a2, identity)),
% 0.90/0.85 inference(monotonicity,[status(thm)],[89])).
% 0.90/0.85 tff(728,plain,
% 0.90/0.85 (double_divide(a2, identity) = double_divide(a2, double_divide(identity, identity))),
% 0.90/0.85 inference(symmetry,[status(thm)],[727])).
% 0.90/0.85 tff(729,plain,
% 0.90/0.85 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)) | (double_divide(double_divide(identity, double_divide(a2, identity)), double_divide(double_divide(double_divide(double_divide(a2, identity), double_divide(double_divide(a2, double_divide(identity, identity)), identity)), double_divide(identity, identity)), double_divide(double_divide(a2, identity), double_divide(double_divide(a2, double_divide(identity, identity)), identity)))) = double_divide(a2, identity))),
% 0.90/0.85 inference(quant_inst,[status(thm)],[])).
% 0.90/0.85 tff(730,plain,
% 0.90/0.85 (double_divide(double_divide(identity, double_divide(a2, identity)), double_divide(double_divide(double_divide(double_divide(a2, identity), double_divide(double_divide(a2, double_divide(identity, identity)), identity)), double_divide(identity, identity)), double_divide(double_divide(a2, identity), double_divide(double_divide(a2, double_divide(identity, identity)), identity)))) = double_divide(a2, identity)),
% 0.90/0.85 inference(unit_resolution,[status(thm)],[729, 47])).
% 0.90/0.85 tff(731,plain,
% 0.90/0.85 ((~![X: $i] : (identity = double_divide(X, inverse(X)))) | (identity = double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))),
% 0.90/0.85 inference(quant_inst,[status(thm)],[])).
% 0.90/0.85 tff(732,plain,
% 0.90/0.85 (identity = double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))),
% 0.90/0.85 inference(unit_resolution,[status(thm)],[731, 21])).
% 0.90/0.85 tff(733,plain,
% 0.90/0.85 (double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))) = identity),
% 0.90/0.85 inference(symmetry,[status(thm)],[732])).
% 0.90/0.85 tff(734,plain,
% 0.90/0.85 (inverse(double_divide(a2, identity)) = inverse(double_divide(a2, double_divide(identity, identity)))),
% 0.90/0.85 inference(monotonicity,[status(thm)],[728])).
% 0.90/0.85 tff(735,plain,
% 0.90/0.85 (inverse(double_divide(a2, double_divide(identity, identity))) = inverse(double_divide(a2, identity))),
% 0.90/0.85 inference(symmetry,[status(thm)],[734])).
% 0.90/0.85 tff(736,plain,
% 0.90/0.85 ((~![X: $i] : (inverse(X) = double_divide(X, identity))) | (inverse(double_divide(a2, double_divide(identity, identity))) = double_divide(double_divide(a2, double_divide(identity, identity)), identity))),
% 0.90/0.85 inference(quant_inst,[status(thm)],[])).
% 0.90/0.85 tff(737,plain,
% 0.90/0.85 (inverse(double_divide(a2, double_divide(identity, identity))) = double_divide(double_divide(a2, double_divide(identity, identity)), identity)),
% 0.90/0.85 inference(unit_resolution,[status(thm)],[736, 31])).
% 0.90/0.85 tff(738,plain,
% 0.90/0.85 (double_divide(double_divide(a2, double_divide(identity, identity)), identity) = inverse(double_divide(a2, double_divide(identity, identity)))),
% 0.90/0.85 inference(symmetry,[status(thm)],[737])).
% 0.90/0.85 tff(739,plain,
% 0.90/0.85 (double_divide(double_divide(a2, double_divide(identity, identity)), identity) = inverse(double_divide(a2, identity))),
% 0.90/0.85 inference(transitivity,[status(thm)],[738, 735])).
% 0.90/0.85 tff(740,plain,
% 0.90/0.85 (double_divide(double_divide(a2, identity), double_divide(double_divide(a2, double_divide(identity, identity)), identity)) = double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))),
% 0.90/0.85 inference(monotonicity,[status(thm)],[739])).
% 0.90/0.85 tff(741,plain,
% 0.90/0.85 (double_divide(double_divide(a2, identity), double_divide(double_divide(a2, double_divide(identity, identity)), identity)) = double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity)))),
% 0.90/0.85 inference(transitivity,[status(thm)],[740, 733, 23, 59, 49, 40])).
% 0.90/0.85 tff(742,plain,
% 0.90/0.85 (double_divide(double_divide(a2, identity), double_divide(double_divide(a2, double_divide(identity, identity)), identity)) = double_divide(identity, identity)),
% 0.90/0.85 inference(transitivity,[status(thm)],[740, 733, 23, 59, 49])).
% 0.90/0.85 tff(743,plain,
% 0.90/0.85 (double_divide(double_divide(double_divide(a2, identity), double_divide(double_divide(a2, double_divide(identity, identity)), identity)), double_divide(identity, identity)) = double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity))))),
% 0.90/0.85 inference(monotonicity,[status(thm)],[742, 40])).
% 0.90/0.85 tff(744,plain,
% 0.90/0.85 (double_divide(double_divide(double_divide(a2, identity), double_divide(double_divide(a2, double_divide(identity, identity)), identity)), double_divide(identity, identity)) = double_divide(identity, identity)),
% 0.90/0.85 inference(transitivity,[status(thm)],[743, 70, 23, 59, 49])).
% 0.90/0.85 tff(745,plain,
% 0.90/0.85 (double_divide(double_divide(double_divide(double_divide(a2, identity), double_divide(double_divide(a2, double_divide(identity, identity)), identity)), double_divide(identity, identity)), double_divide(double_divide(a2, identity), double_divide(double_divide(a2, double_divide(identity, identity)), identity))) = double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity))))),
% 0.90/0.85 inference(monotonicity,[status(thm)],[744, 741])).
% 0.90/0.85 tff(746,plain,
% 0.90/0.85 (double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity)))) = double_divide(double_divide(double_divide(double_divide(a2, identity), double_divide(double_divide(a2, double_divide(identity, identity)), identity)), double_divide(identity, identity)), double_divide(double_divide(a2, identity), double_divide(double_divide(a2, double_divide(identity, identity)), identity)))),
% 0.90/0.85 inference(symmetry,[status(thm)],[745])).
% 0.90/0.85 tff(747,plain,
% 0.90/0.85 (double_divide(double_divide(a2, identity), double_divide(identity, identity)) = double_divide(double_divide(a2, double_divide(identity, identity)), identity)),
% 0.90/0.85 inference(monotonicity,[status(thm)],[728, 89])).
% 0.90/0.85 tff(748,plain,
% 0.90/0.85 (double_divide(double_divide(a2, identity), double_divide(identity, identity)) = inverse(double_divide(a2, identity))),
% 0.90/0.85 inference(transitivity,[status(thm)],[747, 738, 735])).
% 0.90/0.85 tff(749,plain,
% 0.90/0.85 (double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity)))) = double_divide(double_divide(double_divide(a2, double_divide(a2, identity)), double_divide(identity, identity)), double_divide(a2, double_divide(a2, identity)))),
% 0.90/0.85 inference(symmetry,[status(thm)],[725])).
% 0.90/0.85 tff(750,plain,
% 0.90/0.85 (double_divide(identity, identity) = double_divide(double_divide(double_divide(a2, double_divide(a2, identity)), double_divide(identity, identity)), double_divide(a2, double_divide(a2, identity)))),
% 0.90/0.85 inference(transitivity,[status(thm)],[88, 87, 24, 75, 749])).
% 0.90/0.85 tff(751,plain,
% 0.90/0.85 (double_divide(double_divide(identity, a2), double_divide(identity, identity)) = double_divide(double_divide(identity, a2), double_divide(double_divide(double_divide(a2, double_divide(a2, identity)), double_divide(identity, identity)), double_divide(a2, double_divide(a2, identity))))),
% 0.90/0.85 inference(monotonicity,[status(thm)],[750])).
% 0.90/0.85 tff(752,plain,
% 0.90/0.85 (double_divide(double_divide(identity, a2), double_divide(identity, identity)) = a2),
% 0.90/0.85 inference(transitivity,[status(thm)],[751, 713])).
% 0.90/0.85 tff(753,plain,
% 0.90/0.85 (double_divide(double_divide(double_divide(identity, a2), double_divide(identity, identity)), double_divide(identity, identity)) = double_divide(a2, double_divide(identity, identity))),
% 0.90/0.85 inference(monotonicity,[status(thm)],[752])).
% 0.90/0.85 tff(754,plain,
% 0.90/0.85 (double_divide(double_divide(double_divide(identity, a2), double_divide(identity, identity)), double_divide(identity, identity)) = double_divide(a2, identity)),
% 0.90/0.85 inference(transitivity,[status(thm)],[753, 727])).
% 0.90/0.85 tff(755,plain,
% 0.90/0.85 (double_divide(double_divide(double_divide(double_divide(identity, a2), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(a2, identity), double_divide(identity, identity))) = double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))),
% 0.90/0.85 inference(monotonicity,[status(thm)],[754, 748])).
% 0.90/0.85 tff(756,plain,
% 0.90/0.85 (double_divide(double_divide(double_divide(double_divide(identity, a2), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(a2, identity), double_divide(identity, identity))) = double_divide(double_divide(double_divide(double_divide(a2, identity), double_divide(double_divide(a2, double_divide(identity, identity)), identity)), double_divide(identity, identity)), double_divide(double_divide(a2, identity), double_divide(double_divide(a2, double_divide(identity, identity)), identity)))),
% 0.90/0.85 inference(transitivity,[status(thm)],[755, 733, 75, 746])).
% 0.90/0.85 tff(757,plain,
% 0.90/0.85 (double_divide(double_divide(identity, double_divide(a2, identity)), double_divide(double_divide(double_divide(double_divide(identity, a2), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(a2, identity), double_divide(identity, identity)))) = double_divide(double_divide(identity, double_divide(a2, identity)), double_divide(double_divide(double_divide(double_divide(a2, identity), double_divide(double_divide(a2, double_divide(identity, identity)), identity)), double_divide(identity, identity)), double_divide(double_divide(a2, identity), double_divide(double_divide(a2, double_divide(identity, identity)), identity))))),
% 0.90/0.85 inference(monotonicity,[status(thm)],[756])).
% 0.90/0.85 tff(758,plain,
% 0.90/0.85 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, X), double_divide(double_divide(double_divide(Y, Z), double_divide(identity, identity)), double_divide(X, Z))) = Y)) | (double_divide(double_divide(identity, double_divide(a2, identity)), double_divide(double_divide(double_divide(double_divide(identity, a2), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(a2, identity), double_divide(identity, identity)))) = double_divide(identity, a2))),
% 0.90/0.85 inference(quant_inst,[status(thm)],[])).
% 0.90/0.85 tff(759,plain,
% 0.90/0.85 (double_divide(double_divide(identity, double_divide(a2, identity)), double_divide(double_divide(double_divide(double_divide(identity, a2), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(a2, identity), double_divide(identity, identity)))) = double_divide(identity, a2)),
% 0.90/0.85 inference(unit_resolution,[status(thm)],[758, 47])).
% 0.90/0.85 tff(760,plain,
% 0.90/0.85 (double_divide(identity, a2) = double_divide(double_divide(identity, double_divide(a2, identity)), double_divide(double_divide(double_divide(double_divide(identity, a2), double_divide(identity, identity)), double_divide(identity, identity)), double_divide(double_divide(a2, identity), double_divide(identity, identity))))),
% 0.90/0.85 inference(symmetry,[status(thm)],[759])).
% 0.90/0.85 tff(761,plain,
% 0.90/0.85 (double_divide(identity, a2) = double_divide(a2, double_divide(identity, identity))),
% 0.90/0.85 inference(transitivity,[status(thm)],[760, 757, 730, 728])).
% 0.90/0.85 tff(762,plain,
% 0.90/0.85 (double_divide(double_divide(identity, a2), double_divide(double_divide(double_divide(a2, double_divide(a2, identity)), double_divide(identity, identity)), double_divide(a2, double_divide(a2, identity)))) = double_divide(double_divide(a2, double_divide(identity, identity)), identity)),
% 0.90/0.85 inference(monotonicity,[status(thm)],[761, 726])).
% 0.90/0.85 tff(763,plain,
% 0.90/0.85 (double_divide(double_divide(a2, double_divide(identity, identity)), identity) = double_divide(double_divide(identity, a2), double_divide(double_divide(double_divide(a2, double_divide(a2, identity)), double_divide(identity, identity)), double_divide(a2, double_divide(a2, identity))))),
% 0.90/0.85 inference(symmetry,[status(thm)],[762])).
% 0.90/0.85 tff(764,plain,
% 0.90/0.85 ((~![Y: $i, X: $i] : (multiply(X, Y) = double_divide(double_divide(Y, X), identity))) | (multiply(double_divide(identity, identity), a2) = double_divide(double_divide(a2, double_divide(identity, identity)), identity))),
% 0.90/0.85 inference(quant_inst,[status(thm)],[])).
% 0.90/0.85 tff(765,plain,
% 0.90/0.85 (multiply(double_divide(identity, identity), a2) = double_divide(double_divide(a2, double_divide(identity, identity)), identity)),
% 0.90/0.85 inference(unit_resolution,[status(thm)],[764, 7])).
% 0.90/0.85 tff(766,plain,
% 0.90/0.85 (multiply(identity, a2) = multiply(double_divide(identity, identity), a2)),
% 0.90/0.85 inference(monotonicity,[status(thm)],[240])).
% 0.90/0.85 tff(767,plain,
% 0.90/0.85 (multiply(identity, a2) = a2),
% 0.90/0.85 inference(transitivity,[status(thm)],[766, 765, 763, 713])).
% 0.90/0.85 tff(768,assumption,(~(multiply(identity, a2) = a2)), introduced(assumption)).
% 0.90/0.85 tff(769,plain,
% 0.90/0.85 ($false),
% 0.90/0.85 inference(unit_resolution,[status(thm)],[768, 767])).
% 0.90/0.85 tff(770,plain,(multiply(identity, a2) = a2), inference(lemma,lemma(discharge,[]))).
% 0.90/0.85 tff(771,plain,
% 0.90/0.85 (identity = double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity)))),
% 0.90/0.85 inference(transitivity,[status(thm)],[23, 59, 49, 40])).
% 0.90/0.85 tff(772,plain,
% 0.90/0.85 ((~![X: $i] : (identity = double_divide(X, inverse(X)))) | (identity = double_divide(a1, inverse(a1)))),
% 0.90/0.85 inference(quant_inst,[status(thm)],[])).
% 0.90/0.85 tff(773,plain,
% 0.90/0.85 (identity = double_divide(a1, inverse(a1))),
% 0.90/0.85 inference(unit_resolution,[status(thm)],[772, 21])).
% 0.90/0.85 tff(774,plain,
% 0.90/0.85 (double_divide(a1, inverse(a1)) = identity),
% 0.90/0.85 inference(symmetry,[status(thm)],[773])).
% 0.90/0.85 tff(775,plain,
% 0.90/0.85 (double_divide(a1, inverse(a1)) = double_divide(identity, identity)),
% 0.90/0.85 inference(transitivity,[status(thm)],[774, 23, 59, 49])).
% 0.90/0.85 tff(776,plain,
% 0.90/0.85 (double_divide(double_divide(a1, inverse(a1)), identity) = double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(identity, double_divide(identity, identity)), double_divide(identity, identity)), double_divide(identity, double_divide(identity, identity))))),
% 0.90/0.85 inference(monotonicity,[status(thm)],[775, 771])).
% 0.90/0.85 tff(777,plain,
% 0.90/0.85 ((~![Y: $i, X: $i] : (multiply(X, Y) = double_divide(double_divide(Y, X), identity))) | (multiply(inverse(a1), a1) = double_divide(double_divide(a1, inverse(a1)), identity))),
% 0.90/0.85 inference(quant_inst,[status(thm)],[])).
% 0.90/0.85 tff(778,plain,
% 0.90/0.85 (multiply(inverse(a1), a1) = double_divide(double_divide(a1, inverse(a1)), identity)),
% 0.90/0.85 inference(unit_resolution,[status(thm)],[777, 7])).
% 0.90/0.85 tff(779,plain,
% 0.90/0.85 (multiply(inverse(a1), a1) = identity),
% 0.90/0.85 inference(transitivity,[status(thm)],[778, 776, 70])).
% 0.90/0.85 tff(780,assumption,(~(multiply(inverse(a1), a1) = identity)), introduced(assumption)).
% 0.90/0.85 tff(781,plain,
% 0.90/0.85 ($false),
% 0.90/0.85 inference(unit_resolution,[status(thm)],[780, 779])).
% 0.90/0.85 tff(782,plain,(multiply(inverse(a1), a1) = identity), inference(lemma,lemma(discharge,[]))).
% 0.90/0.85 tff(783,plain,
% 0.90/0.85 (((~(multiply(inverse(a1), a1) = identity)) | (~(multiply(identity, a2) = a2)) | (~(multiply(multiply(a3, b3), c3) = multiply(a3, multiply(b3, c3))))) <=> ((~(multiply(inverse(a1), a1) = identity)) | (~(multiply(identity, a2) = a2)) | (~(multiply(multiply(a3, b3), c3) = multiply(a3, multiply(b3, c3)))))),
% 0.90/0.85 inference(rewrite,[status(thm)],[])).
% 0.90/0.85 tff(784,plain,
% 0.90/0.85 ((((~(multiply(inverse(a1), a1) = identity)) | (~(multiply(identity, a2) = a2))) | (~(multiply(multiply(a3, b3), c3) = multiply(a3, multiply(b3, c3))))) <=> ((~(multiply(inverse(a1), a1) = identity)) | (~(multiply(identity, a2) = a2)) | (~(multiply(multiply(a3, b3), c3) = multiply(a3, multiply(b3, c3)))))),
% 0.90/0.85 inference(rewrite,[status(thm)],[])).
% 0.90/0.85 tff(785,plain,
% 0.90/0.85 (((~(multiply(inverse(a1), a1) = identity)) | (~(multiply(identity, a2) = a2))) <=> ((~(multiply(inverse(a1), a1) = identity)) | (~(multiply(identity, a2) = a2)))),
% 0.90/0.85 inference(rewrite,[status(thm)],[])).
% 0.90/0.85 tff(786,plain,
% 0.90/0.85 ((((~(multiply(inverse(a1), a1) = identity)) | (~(multiply(identity, a2) = a2))) | (~(multiply(multiply(a3, b3), c3) = multiply(a3, multiply(b3, c3))))) <=> (((~(multiply(inverse(a1), a1) = identity)) | (~(multiply(identity, a2) = a2))) | (~(multiply(multiply(a3, b3), c3) = multiply(a3, multiply(b3, c3)))))),
% 0.90/0.85 inference(monotonicity,[status(thm)],[785])).
% 0.90/0.85 tff(787,plain,
% 0.90/0.85 ((((~(multiply(inverse(a1), a1) = identity)) | (~(multiply(identity, a2) = a2))) | (~(multiply(multiply(a3, b3), c3) = multiply(a3, multiply(b3, c3))))) <=> ((~(multiply(inverse(a1), a1) = identity)) | (~(multiply(identity, a2) = a2)) | (~(multiply(multiply(a3, b3), c3) = multiply(a3, multiply(b3, c3)))))),
% 0.90/0.85 inference(transitivity,[status(thm)],[786, 784])).
% 0.90/0.85 tff(788,axiom,(((~(multiply(inverse(a1), a1) = identity)) | (~(multiply(identity, a2) = a2))) | (~(multiply(multiply(a3, b3), c3) = multiply(a3, multiply(b3, c3))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_these_axioms')).
% 0.90/0.85 tff(789,plain,
% 0.90/0.85 ((~(multiply(inverse(a1), a1) = identity)) | (~(multiply(identity, a2) = a2)) | (~(multiply(multiply(a3, b3), c3) = multiply(a3, multiply(b3, c3))))),
% 0.90/0.85 inference(modus_ponens,[status(thm)],[788, 787])).
% 0.90/0.85 tff(790,plain,
% 0.90/0.85 ((~(multiply(inverse(a1), a1) = identity)) | (~(multiply(identity, a2) = a2)) | (~(multiply(multiply(a3, b3), c3) = multiply(a3, multiply(b3, c3))))),
% 0.90/0.85 inference(modus_ponens,[status(thm)],[789, 783])).
% 0.90/0.85 tff(791,plain,
% 0.90/0.85 ((~(multiply(inverse(a1), a1) = identity)) | (~(multiply(identity, a2) = a2)) | (~(multiply(multiply(a3, b3), c3) = multiply(a3, multiply(b3, c3))))),
% 0.90/0.85 inference(modus_ponens,[status(thm)],[790, 783])).
% 0.90/0.85 tff(792,plain,
% 0.90/0.85 ((~(multiply(inverse(a1), a1) = identity)) | (~(multiply(identity, a2) = a2)) | (~(multiply(multiply(a3, b3), c3) = multiply(a3, multiply(b3, c3))))),
% 0.90/0.85 inference(modus_ponens,[status(thm)],[791, 783])).
% 0.90/0.85 tff(793,plain,
% 0.90/0.85 ((~(multiply(inverse(a1), a1) = identity)) | (~(multiply(identity, a2) = a2)) | (~(multiply(multiply(a3, b3), c3) = multiply(a3, multiply(b3, c3))))),
% 0.90/0.86 inference(modus_ponens,[status(thm)],[792, 783])).
% 0.90/0.86 tff(794,plain,
% 0.90/0.86 ((~(multiply(inverse(a1), a1) = identity)) | (~(multiply(identity, a2) = a2)) | (~(multiply(multiply(a3, b3), c3) = multiply(a3, multiply(b3, c3))))),
% 0.90/0.86 inference(modus_ponens,[status(thm)],[793, 783])).
% 0.90/0.86 tff(795,plain,
% 0.90/0.86 ((~(multiply(inverse(a1), a1) = identity)) | (~(multiply(identity, a2) = a2)) | (~(multiply(multiply(a3, b3), c3) = multiply(a3, multiply(b3, c3))))),
% 0.90/0.86 inference(modus_ponens,[status(thm)],[794, 783])).
% 0.90/0.86 tff(796,plain,
% 0.90/0.86 ((~(multiply(inverse(a1), a1) = identity)) | (~(multiply(identity, a2) = a2)) | (~(multiply(multiply(a3, b3), c3) = multiply(a3, multiply(b3, c3))))),
% 0.90/0.86 inference(modus_ponens,[status(thm)],[795, 783])).
% 0.90/0.86 tff(797,plain,
% 0.90/0.86 ((~(multiply(identity, a2) = a2)) | (~(multiply(multiply(a3, b3), c3) = multiply(a3, multiply(b3, c3))))),
% 0.90/0.86 inference(unit_resolution,[status(thm)],[796, 782])).
% 0.90/0.86 tff(798,plain,
% 0.90/0.86 (~(multiply(multiply(a3, b3), c3) = multiply(a3, multiply(b3, c3)))),
% 0.90/0.86 inference(unit_resolution,[status(thm)],[797, 770])).
% 0.90/0.86 tff(799,plain,
% 0.90/0.86 ($false),
% 0.90/0.86 inference(unit_resolution,[status(thm)],[798, 711])).
% 0.90/0.86 % SZS output end Proof
%------------------------------------------------------------------------------