TSTP Solution File: GRP100-1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : GRP100-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n019.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 22:25:49 EDT 2022
% Result : Unsatisfiable 3.29s 2.35s
% Output : Proof 3.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP100-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Aug 31 14:43:35 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 3.29/2.35 % SZS status Unsatisfiable
% 3.29/2.35 % SZS output start Proof
% 3.29/2.35 tff(multiply_type, type, (
% 3.29/2.35 multiply: ( $i * $i ) > $i)).
% 3.29/2.35 tff(c3_type, type, (
% 3.29/2.35 c3: $i)).
% 3.29/2.35 tff(b3_type, type, (
% 3.29/2.35 b3: $i)).
% 3.29/2.35 tff(a3_type, type, (
% 3.29/2.35 a3: $i)).
% 3.29/2.35 tff(double_divide_type, type, (
% 3.29/2.35 double_divide: ( $i * $i ) > $i)).
% 3.29/2.35 tff(identity_type, type, (
% 3.29/2.35 identity: $i)).
% 3.29/2.35 tff(inverse_type, type, (
% 3.29/2.35 inverse: $i > $i)).
% 3.29/2.35 tff(a2_type, type, (
% 3.29/2.35 a2: $i)).
% 3.29/2.35 tff(a4_type, type, (
% 3.29/2.35 a4: $i)).
% 3.29/2.35 tff(b4_type, type, (
% 3.29/2.35 b4: $i)).
% 3.29/2.35 tff(a1_type, type, (
% 3.29/2.35 a1: $i)).
% 3.29/2.35 tff(1,plain,
% 3.29/2.35 (^[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)))),
% 3.29/2.35 inference(bind,[status(th)],[])).
% 3.29/2.35 tff(2,plain,
% 3.29/2.35 (![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))),
% 3.29/2.35 inference(quant_intro,[status(thm)],[1])).
% 3.29/2.35 tff(3,plain,
% 3.29/2.35 (![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))),
% 3.29/2.35 inference(rewrite,[status(thm)],[])).
% 3.29/2.35 tff(4,axiom,(![Y: $i, X: $i] : (multiply(X, Y) = double_divide(double_divide(Y, X), identity))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','multiply')).
% 3.29/2.35 tff(5,plain,
% 3.29/2.35 (![Y: $i, X: $i] : (multiply(X, Y) = double_divide(double_divide(Y, X), identity))),
% 3.29/2.35 inference(modus_ponens,[status(thm)],[4, 3])).
% 3.29/2.35 tff(6,plain,(
% 3.29/2.35 ![Y: $i, X: $i] : (multiply(X, Y) = double_divide(double_divide(Y, X), identity))),
% 3.29/2.35 inference(skolemize,[status(sab)],[5])).
% 3.29/2.35 tff(7,plain,
% 3.29/2.35 (![Y: $i, X: $i] : (multiply(X, Y) = double_divide(double_divide(Y, X), identity))),
% 3.29/2.35 inference(modus_ponens,[status(thm)],[6, 2])).
% 3.29/2.35 tff(8,plain,
% 3.29/2.35 ((~![Y: $i, X: $i] : (multiply(X, Y) = double_divide(double_divide(Y, X), identity))) | (multiply(a3, multiply(b3, c3)) = double_divide(double_divide(multiply(b3, c3), a3), identity))),
% 3.29/2.35 inference(quant_inst,[status(thm)],[])).
% 3.29/2.35 tff(9,plain,
% 3.29/2.35 (multiply(a3, multiply(b3, c3)) = double_divide(double_divide(multiply(b3, c3), a3), identity)),
% 3.29/2.35 inference(unit_resolution,[status(thm)],[8, 7])).
% 3.29/2.35 tff(10,plain,
% 3.29/2.35 (double_divide(double_divide(multiply(b3, c3), a3), identity) = multiply(a3, multiply(b3, c3))),
% 3.29/2.35 inference(symmetry,[status(thm)],[9])).
% 3.29/2.35 tff(11,plain,
% 3.29/2.35 (^[Z: $i, Y: $i, X: $i] : refl((double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y) <=> (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y))),
% 3.29/2.35 inference(bind,[status(th)],[])).
% 3.29/2.35 tff(12,plain,
% 3.29/2.35 (![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y) <=> ![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)),
% 3.29/2.35 inference(quant_intro,[status(thm)],[11])).
% 3.29/2.35 tff(13,plain,
% 3.29/2.35 (![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y) <=> ![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)),
% 3.29/2.35 inference(rewrite,[status(thm)],[])).
% 3.29/2.35 tff(14,axiom,(![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','single_axiom')).
% 3.29/2.35 tff(15,plain,
% 3.29/2.35 (![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)),
% 3.29/2.36 inference(modus_ponens,[status(thm)],[14, 13])).
% 3.29/2.36 tff(16,plain,(
% 3.29/2.36 ![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)),
% 3.29/2.36 inference(skolemize,[status(sab)],[15])).
% 3.29/2.36 tff(17,plain,
% 3.29/2.36 (![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)),
% 3.29/2.36 inference(modus_ponens,[status(thm)],[16, 12])).
% 3.29/2.36 tff(18,plain,
% 3.29/2.36 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(identity, identity))),
% 3.29/2.36 inference(quant_inst,[status(thm)],[])).
% 3.29/2.36 tff(19,plain,
% 3.29/2.36 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(identity, identity)),
% 3.29/2.36 inference(unit_resolution,[status(thm)],[18, 17])).
% 3.29/2.36 tff(20,plain,
% 3.29/2.36 (^[X: $i] : refl((identity = double_divide(X, inverse(X))) <=> (identity = double_divide(X, inverse(X))))),
% 3.29/2.36 inference(bind,[status(th)],[])).
% 3.29/2.36 tff(21,plain,
% 3.29/2.36 (![X: $i] : (identity = double_divide(X, inverse(X))) <=> ![X: $i] : (identity = double_divide(X, inverse(X)))),
% 3.29/2.36 inference(quant_intro,[status(thm)],[20])).
% 3.29/2.36 tff(22,plain,
% 3.29/2.36 (![X: $i] : (identity = double_divide(X, inverse(X))) <=> ![X: $i] : (identity = double_divide(X, inverse(X)))),
% 3.29/2.36 inference(rewrite,[status(thm)],[])).
% 3.29/2.36 tff(23,axiom,(![X: $i] : (identity = double_divide(X, inverse(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','identity')).
% 3.29/2.36 tff(24,plain,
% 3.29/2.36 (![X: $i] : (identity = double_divide(X, inverse(X)))),
% 3.29/2.36 inference(modus_ponens,[status(thm)],[23, 22])).
% 3.29/2.36 tff(25,plain,(
% 3.29/2.36 ![X: $i] : (identity = double_divide(X, inverse(X)))),
% 3.29/2.36 inference(skolemize,[status(sab)],[24])).
% 3.29/2.36 tff(26,plain,
% 3.29/2.36 (![X: $i] : (identity = double_divide(X, inverse(X)))),
% 3.29/2.36 inference(modus_ponens,[status(thm)],[25, 21])).
% 3.29/2.36 tff(27,plain,
% 3.29/2.36 ((~![X: $i] : (identity = double_divide(X, inverse(X)))) | (identity = double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), inverse(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))))),
% 3.29/2.36 inference(quant_inst,[status(thm)],[])).
% 3.29/2.36 tff(28,plain,
% 3.29/2.36 (identity = double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), inverse(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))))),
% 3.29/2.36 inference(unit_resolution,[status(thm)],[27, 26])).
% 3.29/2.36 tff(29,plain,
% 3.29/2.36 (double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), inverse(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = identity),
% 3.29/2.36 inference(symmetry,[status(thm)],[28])).
% 3.29/2.36 tff(30,plain,
% 3.29/2.36 (^[X: $i] : refl((inverse(X) = double_divide(X, identity)) <=> (inverse(X) = double_divide(X, identity)))),
% 3.29/2.36 inference(bind,[status(th)],[])).
% 3.29/2.36 tff(31,plain,
% 3.29/2.36 (![X: $i] : (inverse(X) = double_divide(X, identity)) <=> ![X: $i] : (inverse(X) = double_divide(X, identity))),
% 3.29/2.36 inference(quant_intro,[status(thm)],[30])).
% 3.29/2.36 tff(32,plain,
% 3.29/2.36 (![X: $i] : (inverse(X) = double_divide(X, identity)) <=> ![X: $i] : (inverse(X) = double_divide(X, identity))),
% 3.29/2.36 inference(rewrite,[status(thm)],[])).
% 3.29/2.36 tff(33,axiom,(![X: $i] : (inverse(X) = double_divide(X, identity))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','inverse')).
% 3.29/2.36 tff(34,plain,
% 3.29/2.36 (![X: $i] : (inverse(X) = double_divide(X, identity))),
% 3.29/2.36 inference(modus_ponens,[status(thm)],[33, 32])).
% 3.29/2.36 tff(35,plain,(
% 3.29/2.36 ![X: $i] : (inverse(X) = double_divide(X, identity))),
% 3.29/2.36 inference(skolemize,[status(sab)],[34])).
% 3.29/2.36 tff(36,plain,
% 3.29/2.36 (![X: $i] : (inverse(X) = double_divide(X, identity))),
% 3.29/2.36 inference(modus_ponens,[status(thm)],[35, 31])).
% 3.29/2.36 tff(37,plain,
% 3.29/2.36 ((~![X: $i] : (inverse(X) = double_divide(X, identity))) | (inverse(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))) = double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.29/2.36 inference(quant_inst,[status(thm)],[])).
% 3.29/2.36 tff(38,plain,
% 3.29/2.36 (inverse(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))) = double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)),
% 3.29/2.36 inference(unit_resolution,[status(thm)],[37, 36])).
% 3.29/2.36 tff(39,plain,
% 3.29/2.36 (double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity) = inverse(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))),
% 3.29/2.36 inference(symmetry,[status(thm)],[38])).
% 3.29/2.36 tff(40,plain,
% 3.29/2.36 ((~![X: $i] : (identity = double_divide(X, inverse(X)))) | (identity = double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))),
% 3.29/2.36 inference(quant_inst,[status(thm)],[])).
% 3.29/2.36 tff(41,plain,
% 3.29/2.36 (identity = double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))),
% 3.29/2.36 inference(unit_resolution,[status(thm)],[40, 26])).
% 3.29/2.36 tff(42,plain,
% 3.29/2.36 (double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))) = identity),
% 3.29/2.36 inference(symmetry,[status(thm)],[41])).
% 3.29/2.36 tff(43,plain,
% 3.29/2.36 (double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity) = double_divide(identity, identity)),
% 3.29/2.36 inference(monotonicity,[status(thm)],[42])).
% 3.29/2.36 tff(44,plain,
% 3.29/2.36 (double_divide(identity, identity) = double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)),
% 3.29/2.36 inference(symmetry,[status(thm)],[43])).
% 3.29/2.36 tff(45,plain,
% 3.29/2.36 (double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))) = double_divide(identity, identity)),
% 3.29/2.36 inference(monotonicity,[status(thm)],[42, 42])).
% 3.29/2.36 tff(46,plain,
% 3.29/2.36 (double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))) = inverse(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))),
% 3.29/2.36 inference(transitivity,[status(thm)],[45, 44, 39])).
% 3.29/2.36 tff(47,plain,
% 3.29/2.36 (double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), inverse(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))))),
% 3.29/2.36 inference(monotonicity,[status(thm)],[46])).
% 3.29/2.36 tff(48,plain,
% 3.29/2.36 (double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))),
% 3.29/2.36 inference(transitivity,[status(thm)],[47, 29, 41])).
% 3.29/2.36 tff(49,plain,
% 3.29/2.36 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), inverse(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))))),
% 3.29/2.36 inference(monotonicity,[status(thm)],[48, 39])).
% 3.29/2.36 tff(50,plain,
% 3.29/2.36 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = identity),
% 3.29/2.36 inference(transitivity,[status(thm)],[49, 29])).
% 3.29/2.36 tff(51,plain,
% 3.29/2.36 (double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(identity, identity)),
% 3.29/2.36 inference(monotonicity,[status(thm)],[42, 50])).
% 3.29/2.36 tff(52,plain,
% 3.29/2.36 (double_divide(identity, identity) = double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.29/2.36 inference(symmetry,[status(thm)],[51])).
% 3.29/2.36 tff(53,plain,
% 3.29/2.36 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))),
% 3.29/2.36 inference(quant_inst,[status(thm)],[])).
% 3.29/2.36 tff(54,plain,
% 3.29/2.36 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))),
% 3.29/2.36 inference(unit_resolution,[status(thm)],[53, 17])).
% 3.29/2.36 tff(55,plain,
% 3.29/2.36 (double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.29/2.36 inference(monotonicity,[status(thm)],[52, 45])).
% 3.29/2.36 tff(56,plain,
% 3.29/2.36 (double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))),
% 3.29/2.36 inference(transitivity,[status(thm)],[55, 54])).
% 3.29/2.36 tff(57,plain,
% 3.29/2.36 (double_divide(double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), inverse(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))))),
% 3.29/2.36 inference(monotonicity,[status(thm)],[56, 39])).
% 3.29/2.36 tff(58,plain,
% 3.29/2.36 (double_divide(double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = identity),
% 3.29/2.36 inference(transitivity,[status(thm)],[57, 29])).
% 3.29/2.36 tff(59,plain,
% 3.29/2.36 (double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(identity, identity)),
% 3.29/2.36 inference(monotonicity,[status(thm)],[42, 58])).
% 3.29/2.36 tff(60,plain,
% 3.29/2.36 (double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.29/2.36 inference(transitivity,[status(thm)],[59, 52])).
% 3.29/2.36 tff(61,plain,
% 3.29/2.36 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.29/2.36 inference(monotonicity,[status(thm)],[60])).
% 3.29/2.36 tff(62,plain,
% 3.29/2.36 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.29/2.36 inference(symmetry,[status(thm)],[61])).
% 3.29/2.36 tff(63,plain,
% 3.29/2.36 (double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.29/2.36 inference(symmetry,[status(thm)],[54])).
% 3.29/2.36 tff(64,plain,
% 3.29/2.36 (identity = double_divide(identity, identity)),
% 3.29/2.36 inference(transitivity,[status(thm)],[41, 63, 62, 19])).
% 3.29/2.36 tff(65,plain,
% 3.29/2.36 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(double_divide(a3, double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(identity, identity)) = a3)),
% 3.29/2.36 inference(quant_inst,[status(thm)],[])).
% 3.29/2.36 tff(66,plain,
% 3.29/2.36 (double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(double_divide(a3, double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(identity, identity)) = a3),
% 3.29/2.36 inference(unit_resolution,[status(thm)],[65, 17])).
% 3.29/2.36 tff(67,plain,
% 3.29/2.36 (double_divide(identity, identity) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(identity, identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.29/2.36 inference(symmetry,[status(thm)],[19])).
% 3.29/2.36 tff(68,plain,
% 3.29/2.36 (double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity) = identity),
% 3.29/2.36 inference(transitivity,[status(thm)],[43, 67, 61, 54, 42])).
% 3.29/2.36 tff(69,plain,
% 3.29/2.36 (double_divide(identity, identity) = identity),
% 3.29/2.36 inference(transitivity,[status(thm)],[67, 61, 54, 42])).
% 3.29/2.36 tff(70,plain,
% 3.29/2.36 (double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity)),
% 3.29/2.36 inference(monotonicity,[status(thm)],[69])).
% 3.29/2.36 tff(71,plain,
% 3.29/2.36 (double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))) = double_divide(identity, identity)),
% 3.29/2.36 inference(transitivity,[status(thm)],[63, 62, 19])).
% 3.29/2.36 tff(72,plain,
% 3.29/2.36 (double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))) = double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(identity, identity))),
% 3.29/2.36 inference(monotonicity,[status(thm)],[71])).
% 3.29/2.36 tff(73,plain,
% 3.29/2.36 (double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))) = double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity)),
% 3.29/2.36 inference(transitivity,[status(thm)],[72, 70])).
% 3.29/2.36 tff(74,plain,
% 3.29/2.36 (double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity))),
% 3.29/2.36 inference(monotonicity,[status(thm)],[73])).
% 3.29/2.36 tff(75,plain,
% 3.29/2.36 (double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity)), identity)),
% 3.29/2.36 inference(monotonicity,[status(thm)],[74, 68])).
% 3.29/2.36 tff(76,plain,
% 3.29/2.36 (double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity)), identity) = double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.29/2.37 inference(symmetry,[status(thm)],[75])).
% 3.29/2.37 tff(77,plain,
% 3.29/2.37 ((~![Y: $i, X: $i] : (multiply(X, Y) = double_divide(double_divide(Y, X), identity))) | (multiply(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity)), identity))),
% 3.29/2.37 inference(quant_inst,[status(thm)],[])).
% 3.29/2.37 tff(78,plain,
% 3.29/2.37 (multiply(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity)), identity)),
% 3.29/2.37 inference(unit_resolution,[status(thm)],[77, 7])).
% 3.29/2.37 tff(79,plain,
% 3.29/2.37 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = c3)),
% 3.29/2.37 inference(quant_inst,[status(thm)],[])).
% 3.29/2.37 tff(80,plain,
% 3.29/2.37 (double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = c3),
% 3.29/2.37 inference(unit_resolution,[status(thm)],[79, 17])).
% 3.29/2.37 tff(81,plain,
% 3.29/2.37 (double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)),
% 3.29/2.37 inference(monotonicity,[status(thm)],[69])).
% 3.29/2.37 tff(82,plain,
% 3.29/2.37 (double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity) = double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.29/2.37 inference(symmetry,[status(thm)],[81])).
% 3.29/2.37 tff(83,plain,
% 3.29/2.37 (double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity) = c3),
% 3.29/2.37 inference(transitivity,[status(thm)],[82, 80])).
% 3.29/2.37 tff(84,plain,
% 3.29/2.37 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(identity, identity)) = b3)),
% 3.29/2.37 inference(quant_inst,[status(thm)],[])).
% 3.29/2.37 tff(85,plain,
% 3.29/2.37 (double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(identity, identity)) = b3),
% 3.29/2.37 inference(unit_resolution,[status(thm)],[84, 17])).
% 3.29/2.37 tff(86,plain,
% 3.29/2.37 (double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity) = double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(identity, identity))),
% 3.29/2.37 inference(symmetry,[status(thm)],[70])).
% 3.29/2.37 tff(87,plain,
% 3.29/2.37 (double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity) = b3),
% 3.29/2.37 inference(transitivity,[status(thm)],[86, 85])).
% 3.29/2.37 tff(88,plain,
% 3.29/2.37 (multiply(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)) = multiply(b3, c3)),
% 3.29/2.37 inference(monotonicity,[status(thm)],[87, 83])).
% 3.29/2.37 tff(89,plain,
% 3.29/2.37 (multiply(b3, c3) = multiply(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))),
% 3.29/2.37 inference(symmetry,[status(thm)],[88])).
% 3.29/2.37 tff(90,plain,
% 3.29/2.37 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = multiply(b3, c3))),
% 3.29/2.37 inference(quant_inst,[status(thm)],[])).
% 3.29/2.37 tff(91,plain,
% 3.29/2.37 (double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = multiply(b3, c3)),
% 3.29/2.37 inference(unit_resolution,[status(thm)],[90, 17])).
% 3.29/2.37 tff(92,plain,
% 3.29/2.37 (double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity) = double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.29/2.37 inference(monotonicity,[status(thm)],[64])).
% 3.29/2.37 tff(93,plain,
% 3.29/2.37 (double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity) = double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.29/2.37 inference(transitivity,[status(thm)],[92, 91, 89, 78, 76])).
% 3.29/2.37 tff(94,plain,
% 3.29/2.37 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))))),
% 3.29/2.37 inference(quant_inst,[status(thm)],[])).
% 3.29/2.37 tff(95,plain,
% 3.29/2.37 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)))),
% 3.29/2.38 inference(unit_resolution,[status(thm)],[94, 17])).
% 3.29/2.38 tff(96,plain,
% 3.29/2.38 ((~![X: $i] : (identity = double_divide(X, inverse(X)))) | (identity = double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), inverse(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))))))),
% 3.29/2.38 inference(quant_inst,[status(thm)],[])).
% 3.29/2.38 tff(97,plain,
% 3.29/2.38 (identity = double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), inverse(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)))))),
% 3.29/2.38 inference(unit_resolution,[status(thm)],[96, 26])).
% 3.29/2.38 tff(98,plain,
% 3.29/2.38 (double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), inverse(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))))) = identity),
% 3.29/2.38 inference(symmetry,[status(thm)],[97])).
% 3.29/2.38 tff(99,plain,
% 3.29/2.38 ((~![X: $i] : (inverse(X) = double_divide(X, identity))) | (inverse(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)))) = double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity))),
% 3.29/2.38 inference(quant_inst,[status(thm)],[])).
% 3.29/2.38 tff(100,plain,
% 3.29/2.38 (inverse(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)))) = double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity)),
% 3.29/2.38 inference(unit_resolution,[status(thm)],[99, 36])).
% 3.29/2.38 tff(101,plain,
% 3.29/2.38 (double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity) = inverse(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))))),
% 3.29/2.38 inference(symmetry,[status(thm)],[100])).
% 3.29/2.38 tff(102,plain,
% 3.29/2.38 (double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))) = inverse(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))))),
% 3.29/2.38 inference(transitivity,[status(thm)],[72, 70, 101])).
% 3.29/2.38 tff(103,plain,
% 3.29/2.38 (double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), inverse(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)))))),
% 3.29/2.38 inference(monotonicity,[status(thm)],[102])).
% 3.29/2.38 tff(104,plain,
% 3.29/2.38 (double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = identity),
% 3.29/2.38 inference(transitivity,[status(thm)],[103, 98])).
% 3.29/2.38 tff(105,plain,
% 3.29/2.38 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(identity, identity)),
% 3.29/2.38 inference(monotonicity,[status(thm)],[104, 68])).
% 3.29/2.38 tff(106,plain,
% 3.29/2.38 (double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(identity, identity))),
% 3.29/2.38 inference(monotonicity,[status(thm)],[105])).
% 3.29/2.38 tff(107,plain,
% 3.29/2.38 (double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.29/2.38 inference(symmetry,[status(thm)],[106])).
% 3.29/2.38 tff(108,plain,
% 3.29/2.38 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity))),
% 3.29/2.38 inference(quant_inst,[status(thm)],[])).
% 3.29/2.38 tff(109,plain,
% 3.29/2.38 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity)),
% 3.29/2.38 inference(unit_resolution,[status(thm)],[108, 17])).
% 3.29/2.38 tff(110,plain,
% 3.29/2.38 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(a3, double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity))), double_divide(identity, identity)) = double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))))),
% 3.29/2.39 inference(quant_inst,[status(thm)],[])).
% 3.29/2.39 tff(111,plain,
% 3.29/2.39 (double_divide(double_divide(a3, double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity))), double_divide(identity, identity)) = double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)))),
% 3.29/2.39 inference(unit_resolution,[status(thm)],[110, 17])).
% 3.29/2.39 tff(112,plain,
% 3.29/2.39 (double_divide(double_divide(a3, double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(a3, double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity))), double_divide(identity, identity))),
% 3.29/2.39 inference(monotonicity,[status(thm)],[45])).
% 3.29/2.39 tff(113,plain,
% 3.29/2.39 (double_divide(double_divide(a3, double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)))),
% 3.29/2.39 inference(transitivity,[status(thm)],[112, 111])).
% 3.29/2.39 tff(114,plain,
% 3.29/2.39 (double_divide(double_divide(double_divide(a3, double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(identity, identity))),
% 3.29/2.39 inference(monotonicity,[status(thm)],[113, 43])).
% 3.29/2.39 tff(115,plain,
% 3.29/2.39 (double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(a3, double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.29/2.39 inference(symmetry,[status(thm)],[114])).
% 3.29/2.39 tff(116,plain,
% 3.29/2.39 (double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity) = double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.29/2.39 inference(transitivity,[status(thm)],[86, 107])).
% 3.29/2.39 tff(117,plain,
% 3.29/2.39 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.29/2.39 inference(monotonicity,[status(thm)],[116, 45])).
% 3.29/2.39 tff(118,plain,
% 3.29/2.39 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)))),
% 3.29/2.39 inference(transitivity,[status(thm)],[117, 95])).
% 3.29/2.39 tff(119,plain,
% 3.29/2.39 (double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(identity, identity))),
% 3.29/2.39 inference(monotonicity,[status(thm)],[118, 43])).
% 3.29/2.39 tff(120,plain,
% 3.29/2.39 (double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(double_divide(double_divide(a3, double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.29/2.39 inference(transitivity,[status(thm)],[119, 115])).
% 3.29/2.39 tff(121,plain,
% 3.29/2.39 (double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a3, double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.29/2.40 inference(monotonicity,[status(thm)],[120])).
% 3.29/2.40 tff(122,plain,
% 3.29/2.40 (double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a3, double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.29/2.40 inference(symmetry,[status(thm)],[121])).
% 3.29/2.40 tff(123,plain,
% 3.29/2.40 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a3, double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.29/2.40 inference(monotonicity,[status(thm)],[122])).
% 3.29/2.40 tff(124,plain,
% 3.29/2.40 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a3, double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(a3, double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity))))),
% 3.29/2.40 inference(quant_inst,[status(thm)],[])).
% 3.29/2.40 tff(125,plain,
% 3.29/2.40 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a3, double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(a3, double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity)))),
% 3.29/2.40 inference(unit_resolution,[status(thm)],[124, 17])).
% 3.29/2.40 tff(126,plain,
% 3.29/2.40 (double_divide(a3, double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity))) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a3, double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.29/2.40 inference(symmetry,[status(thm)],[125])).
% 3.29/2.40 tff(127,plain,
% 3.29/2.40 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(a3, double_divide(double_divide(a3, double_divide(a3, double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = a3)),
% 3.29/2.40 inference(quant_inst,[status(thm)],[])).
% 3.29/2.40 tff(128,plain,
% 3.29/2.40 (double_divide(double_divide(a3, double_divide(double_divide(a3, double_divide(a3, double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = a3),
% 3.29/2.40 inference(unit_resolution,[status(thm)],[127, 17])).
% 3.29/2.40 tff(129,plain,
% 3.29/2.40 ((~![X: $i] : (identity = double_divide(X, inverse(X)))) | (identity = double_divide(a3, inverse(a3)))),
% 3.29/2.40 inference(quant_inst,[status(thm)],[])).
% 3.29/2.40 tff(130,plain,
% 3.29/2.40 (identity = double_divide(a3, inverse(a3))),
% 3.29/2.40 inference(unit_resolution,[status(thm)],[129, 26])).
% 3.29/2.40 tff(131,plain,
% 3.29/2.40 (double_divide(a3, inverse(a3)) = identity),
% 3.29/2.40 inference(symmetry,[status(thm)],[130])).
% 3.29/2.40 tff(132,plain,
% 3.29/2.40 ((~![X: $i] : (inverse(X) = double_divide(X, identity))) | (inverse(a3) = double_divide(a3, identity))),
% 3.29/2.40 inference(quant_inst,[status(thm)],[])).
% 3.29/2.40 tff(133,plain,
% 3.29/2.40 (inverse(a3) = double_divide(a3, identity)),
% 3.29/2.40 inference(unit_resolution,[status(thm)],[132, 36])).
% 3.29/2.40 tff(134,plain,
% 3.29/2.40 (double_divide(a3, identity) = inverse(a3)),
% 3.29/2.40 inference(symmetry,[status(thm)],[133])).
% 3.29/2.40 tff(135,plain,
% 3.29/2.40 (double_divide(a3, double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))) = double_divide(a3, identity)),
% 3.29/2.40 inference(monotonicity,[status(thm)],[42])).
% 3.29/2.40 tff(136,plain,
% 3.29/2.40 (double_divide(a3, double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))) = inverse(a3)),
% 3.29/2.40 inference(transitivity,[status(thm)],[135, 134])).
% 3.29/2.40 tff(137,plain,
% 3.29/2.40 (double_divide(a3, double_divide(a3, double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(a3, inverse(a3))),
% 3.29/2.40 inference(monotonicity,[status(thm)],[136])).
% 3.29/2.40 tff(138,plain,
% 3.29/2.40 (double_divide(a3, double_divide(a3, double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = identity),
% 3.29/2.40 inference(transitivity,[status(thm)],[137, 131])).
% 3.29/2.40 tff(139,plain,
% 3.29/2.40 (double_divide(double_divide(a3, double_divide(a3, double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(identity, identity)),
% 3.29/2.40 inference(monotonicity,[status(thm)],[138, 68])).
% 3.29/2.40 tff(140,plain,
% 3.29/2.40 (double_divide(double_divide(a3, double_divide(a3, double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = identity),
% 3.29/2.40 inference(transitivity,[status(thm)],[139, 67, 61, 54, 42])).
% 3.29/2.40 tff(141,plain,
% 3.29/2.40 (double_divide(a3, double_divide(double_divide(a3, double_divide(a3, double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(a3, identity)),
% 3.29/2.40 inference(monotonicity,[status(thm)],[140])).
% 3.29/2.40 tff(142,plain,
% 3.29/2.40 (double_divide(a3, identity) = double_divide(a3, double_divide(double_divide(a3, double_divide(a3, double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.29/2.40 inference(symmetry,[status(thm)],[141])).
% 3.29/2.40 tff(143,plain,
% 3.29/2.40 (double_divide(double_divide(a3, identity), identity) = double_divide(double_divide(a3, double_divide(double_divide(a3, double_divide(a3, double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.29/2.40 inference(monotonicity,[status(thm)],[142, 64])).
% 3.29/2.40 tff(144,plain,
% 3.29/2.40 (double_divide(double_divide(a3, identity), identity) = a3),
% 3.29/2.40 inference(transitivity,[status(thm)],[143, 128])).
% 3.29/2.40 tff(145,plain,
% 3.29/2.40 (double_divide(a3, double_divide(a3, identity)) = double_divide(a3, inverse(a3))),
% 3.29/2.40 inference(monotonicity,[status(thm)],[134])).
% 3.29/2.40 tff(146,plain,
% 3.29/2.40 (double_divide(a3, double_divide(a3, identity)) = double_divide(identity, identity)),
% 3.29/2.40 inference(transitivity,[status(thm)],[145, 131, 41, 63, 62, 19])).
% 3.29/2.40 tff(147,plain,
% 3.29/2.40 (double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(a3, double_divide(a3, identity))) = double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(identity, identity))),
% 3.29/2.40 inference(monotonicity,[status(thm)],[146])).
% 3.29/2.40 tff(148,plain,
% 3.29/2.40 (double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(a3, double_divide(a3, identity))) = b3),
% 3.29/2.40 inference(transitivity,[status(thm)],[147, 85])).
% 3.29/2.40 tff(149,plain,
% 3.29/2.40 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity)) = double_divide(b3, a3)),
% 3.29/2.40 inference(monotonicity,[status(thm)],[148, 144])).
% 3.29/2.40 tff(150,plain,
% 3.29/2.40 (double_divide(b3, a3) = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity))),
% 3.29/2.40 inference(symmetry,[status(thm)],[149])).
% 3.29/2.40 tff(151,plain,
% 3.29/2.40 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(multiply(b3, c3), identity))), double_divide(identity, identity)) = double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity))),
% 3.29/2.40 inference(quant_inst,[status(thm)],[])).
% 3.29/2.40 tff(152,plain,
% 3.29/2.40 (double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(multiply(b3, c3), identity))), double_divide(identity, identity)) = double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity)),
% 3.29/2.40 inference(unit_resolution,[status(thm)],[151, 17])).
% 3.29/2.40 tff(153,plain,
% 3.29/2.40 (double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(multiply(b3, c3), identity))), double_divide(a3, double_divide(a3, identity))) = double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(multiply(b3, c3), identity))), double_divide(identity, identity))),
% 3.29/2.41 inference(monotonicity,[status(thm)],[146])).
% 3.29/2.41 tff(154,plain,
% 3.29/2.41 (double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(multiply(b3, c3), identity))), double_divide(a3, double_divide(a3, identity))) = b3),
% 3.29/2.41 inference(transitivity,[status(thm)],[153, 152, 86, 85])).
% 3.29/2.41 tff(155,plain,
% 3.29/2.41 (double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(multiply(b3, c3), identity))), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity)) = double_divide(b3, a3)),
% 3.29/2.41 inference(monotonicity,[status(thm)],[154, 144])).
% 3.29/2.41 tff(156,plain,
% 3.29/2.41 (double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(multiply(b3, c3), identity))), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity)) = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity))),
% 3.29/2.41 inference(transitivity,[status(thm)],[155, 150])).
% 3.29/2.41 tff(157,plain,
% 3.29/2.41 (double_divide(a3, double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(multiply(b3, c3), identity))), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity))) = double_divide(a3, double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity)))),
% 3.29/2.41 inference(monotonicity,[status(thm)],[156])).
% 3.29/2.41 tff(158,plain,
% 3.29/2.41 (double_divide(a3, double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(multiply(b3, c3), identity))), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity))) = double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.29/2.41 inference(transitivity,[status(thm)],[157, 126, 123, 109, 86, 107])).
% 3.29/2.41 tff(159,plain,
% 3.29/2.41 (double_divide(double_divide(a3, double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(multiply(b3, c3), identity))), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.29/2.41 inference(monotonicity,[status(thm)],[158])).
% 3.29/2.41 tff(160,plain,
% 3.29/2.41 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(a3, double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(multiply(b3, c3), identity))), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity))), double_divide(identity, identity)) = double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(multiply(b3, c3), identity))))),
% 3.29/2.41 inference(quant_inst,[status(thm)],[])).
% 3.29/2.41 tff(161,plain,
% 3.29/2.41 (double_divide(double_divide(a3, double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(multiply(b3, c3), identity))), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity))), double_divide(identity, identity)) = double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(multiply(b3, c3), identity)))),
% 3.29/2.41 inference(unit_resolution,[status(thm)],[160, 17])).
% 3.29/2.41 tff(162,plain,
% 3.29/2.41 (double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(multiply(b3, c3), identity))) = double_divide(double_divide(a3, double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(multiply(b3, c3), identity))), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity))), double_divide(identity, identity))),
% 3.29/2.42 inference(symmetry,[status(thm)],[161])).
% 3.29/2.42 tff(163,plain,
% 3.29/2.42 ((~![X: $i] : (identity = double_divide(X, inverse(X)))) | (identity = double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), inverse(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))))),
% 3.29/2.42 inference(quant_inst,[status(thm)],[])).
% 3.29/2.42 tff(164,plain,
% 3.29/2.42 (identity = double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), inverse(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))))),
% 3.29/2.42 inference(unit_resolution,[status(thm)],[163, 26])).
% 3.29/2.42 tff(165,plain,
% 3.29/2.42 (double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), inverse(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))) = identity),
% 3.29/2.42 inference(symmetry,[status(thm)],[164])).
% 3.29/2.42 tff(166,plain,
% 3.29/2.42 ((~![X: $i] : (inverse(X) = double_divide(X, identity))) | (inverse(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))) = double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))),
% 3.29/2.42 inference(quant_inst,[status(thm)],[])).
% 3.29/2.42 tff(167,plain,
% 3.29/2.42 (inverse(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))) = double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)),
% 3.29/2.42 inference(unit_resolution,[status(thm)],[166, 36])).
% 3.29/2.42 tff(168,plain,
% 3.29/2.42 (double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity) = inverse(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))),
% 3.29/2.42 inference(symmetry,[status(thm)],[167])).
% 3.29/2.42 tff(169,plain,
% 3.29/2.42 (double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)),
% 3.29/2.42 inference(symmetry,[status(thm)],[92])).
% 3.29/2.42 tff(170,plain,
% 3.29/2.42 (double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))) = double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.29/2.42 inference(monotonicity,[status(thm)],[71])).
% 3.29/2.42 tff(171,plain,
% 3.29/2.42 (double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))) = inverse(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))),
% 3.29/2.42 inference(transitivity,[status(thm)],[170, 169, 168])).
% 3.29/2.42 tff(172,plain,
% 3.29/2.42 (double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), inverse(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))))),
% 3.29/2.42 inference(monotonicity,[status(thm)],[171])).
% 3.29/2.42 tff(173,plain,
% 3.29/2.42 (double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = identity),
% 3.29/2.42 inference(transitivity,[status(thm)],[172, 165])).
% 3.29/2.42 tff(174,plain,
% 3.29/2.42 (double_divide(double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(identity, identity)),
% 3.29/2.42 inference(monotonicity,[status(thm)],[173, 68])).
% 3.29/2.42 tff(175,plain,
% 3.29/2.42 (double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.29/2.42 inference(monotonicity,[status(thm)],[174])).
% 3.29/2.42 tff(176,plain,
% 3.29/2.42 (double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.29/2.42 inference(symmetry,[status(thm)],[175])).
% 3.29/2.42 tff(177,plain,
% 3.29/2.42 (multiply(b3, c3) = double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.29/2.42 inference(symmetry,[status(thm)],[91])).
% 3.29/2.42 tff(178,plain,
% 3.29/2.42 (multiply(b3, c3) = double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.29/2.42 inference(transitivity,[status(thm)],[177, 176])).
% 3.29/2.42 tff(179,plain,
% 3.29/2.42 (double_divide(multiply(b3, c3), identity) = double_divide(double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.29/2.42 inference(monotonicity,[status(thm)],[178, 64])).
% 3.29/2.42 tff(180,plain,
% 3.29/2.42 (double_divide(double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(multiply(b3, c3), identity)),
% 3.29/2.42 inference(symmetry,[status(thm)],[179])).
% 3.29/2.42 tff(181,plain,
% 3.29/2.42 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))),
% 3.29/2.42 inference(quant_inst,[status(thm)],[])).
% 3.29/2.42 tff(182,plain,
% 3.29/2.42 (double_divide(double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.29/2.42 inference(unit_resolution,[status(thm)],[181, 17])).
% 3.29/2.42 tff(183,plain,
% 3.29/2.42 (double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.29/2.42 inference(symmetry,[status(thm)],[182])).
% 3.29/2.42 tff(184,plain,
% 3.29/2.42 (double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(multiply(b3, c3), identity)),
% 3.29/2.42 inference(transitivity,[status(thm)],[183, 180])).
% 3.29/2.42 tff(185,plain,
% 3.29/2.42 (double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))) = double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(multiply(b3, c3), identity))),
% 3.29/2.43 inference(monotonicity,[status(thm)],[184])).
% 3.29/2.43 tff(186,plain,
% 3.29/2.43 (double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))) = double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(multiply(b3, c3), identity)))),
% 3.29/2.43 inference(monotonicity,[status(thm)],[185])).
% 3.29/2.43 tff(187,plain,
% 3.29/2.43 (double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))) = double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)))),
% 3.29/2.43 inference(transitivity,[status(thm)],[186, 162, 159, 95])).
% 3.29/2.43 tff(188,plain,
% 3.29/2.43 (double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)) = double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.29/2.43 inference(monotonicity,[status(thm)],[187, 93])).
% 3.29/2.43 tff(189,plain,
% 3.29/2.43 (double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))),
% 3.29/2.43 inference(symmetry,[status(thm)],[188])).
% 3.29/2.43 tff(190,plain,
% 3.29/2.43 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))),
% 3.29/2.43 inference(quant_inst,[status(thm)],[])).
% 3.29/2.43 tff(191,plain,
% 3.29/2.43 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.29/2.43 inference(unit_resolution,[status(thm)],[190, 17])).
% 3.29/2.43 tff(192,plain,
% 3.29/2.43 ((~![X: $i] : (identity = double_divide(X, inverse(X)))) | (identity = double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), inverse(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))))),
% 3.29/2.43 inference(quant_inst,[status(thm)],[])).
% 3.29/2.43 tff(193,plain,
% 3.29/2.43 (identity = double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), inverse(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))))),
% 3.29/2.43 inference(unit_resolution,[status(thm)],[192, 26])).
% 3.29/2.43 tff(194,plain,
% 3.29/2.43 (double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), inverse(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))) = identity),
% 3.29/2.43 inference(symmetry,[status(thm)],[193])).
% 3.29/2.43 tff(195,plain,
% 3.29/2.43 ((~![X: $i] : (inverse(X) = double_divide(X, identity))) | (inverse(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))) = double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))),
% 3.29/2.43 inference(quant_inst,[status(thm)],[])).
% 3.29/2.44 tff(196,plain,
% 3.29/2.44 (inverse(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))) = double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)),
% 3.29/2.44 inference(unit_resolution,[status(thm)],[195, 36])).
% 3.29/2.44 tff(197,plain,
% 3.29/2.44 (double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity) = inverse(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))),
% 3.29/2.44 inference(symmetry,[status(thm)],[196])).
% 3.29/2.44 tff(198,plain,
% 3.29/2.44 (double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))) = double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)),
% 3.29/2.44 inference(monotonicity,[status(thm)],[42])).
% 3.29/2.44 tff(199,plain,
% 3.29/2.44 (double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))) = inverse(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))),
% 3.29/2.44 inference(transitivity,[status(thm)],[198, 197])).
% 3.29/2.44 tff(200,plain,
% 3.29/2.44 (double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), inverse(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))))),
% 3.29/2.44 inference(monotonicity,[status(thm)],[199])).
% 3.29/2.44 tff(201,plain,
% 3.29/2.44 (double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = identity),
% 3.29/2.44 inference(transitivity,[status(thm)],[200, 194])).
% 3.29/2.44 tff(202,plain,
% 3.29/2.44 (double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(identity, identity)),
% 3.29/2.44 inference(monotonicity,[status(thm)],[201, 68])).
% 3.29/2.44 tff(203,plain,
% 3.29/2.44 (double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = identity),
% 3.29/2.44 inference(transitivity,[status(thm)],[202, 67, 61, 54, 42])).
% 3.29/2.44 tff(204,plain,
% 3.29/2.44 (double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)),
% 3.40/2.44 inference(monotonicity,[status(thm)],[203])).
% 3.40/2.44 tff(205,plain,
% 3.40/2.44 (double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity) = double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.40/2.44 inference(symmetry,[status(thm)],[204])).
% 3.40/2.44 tff(206,plain,
% 3.40/2.44 (double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))) = identity),
% 3.40/2.44 inference(transitivity,[status(thm)],[45, 67, 61, 54, 42])).
% 3.40/2.44 tff(207,plain,
% 3.40/2.44 (double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)),
% 3.40/2.44 inference(monotonicity,[status(thm)],[206])).
% 3.40/2.44 tff(208,plain,
% 3.40/2.44 (double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.40/2.44 inference(transitivity,[status(thm)],[207, 205])).
% 3.40/2.44 tff(209,plain,
% 3.40/2.44 (double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.40/2.44 inference(monotonicity,[status(thm)],[208, 43])).
% 3.40/2.44 tff(210,plain,
% 3.40/2.44 (double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.40/2.44 inference(symmetry,[status(thm)],[209])).
% 3.40/2.44 tff(211,plain,
% 3.40/2.44 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))),
% 3.40/2.44 inference(quant_inst,[status(thm)],[])).
% 3.40/2.44 tff(212,plain,
% 3.40/2.44 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)),
% 3.40/2.44 inference(unit_resolution,[status(thm)],[211, 17])).
% 3.40/2.44 tff(213,plain,
% 3.40/2.44 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.40/2.45 inference(monotonicity,[status(thm)],[45])).
% 3.40/2.45 tff(214,plain,
% 3.40/2.45 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.40/2.45 inference(transitivity,[status(thm)],[213, 212, 205])).
% 3.40/2.45 tff(215,plain,
% 3.40/2.45 (double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.40/2.45 inference(monotonicity,[status(thm)],[214, 43])).
% 3.40/2.45 tff(216,plain,
% 3.40/2.45 (double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.40/2.45 inference(transitivity,[status(thm)],[215, 210])).
% 3.40/2.45 tff(217,plain,
% 3.40/2.45 (double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.40/2.45 inference(monotonicity,[status(thm)],[216])).
% 3.40/2.45 tff(218,plain,
% 3.40/2.45 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.40/2.45 inference(monotonicity,[status(thm)],[217])).
% 3.40/2.45 tff(219,plain,
% 3.40/2.45 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.40/2.45 inference(symmetry,[status(thm)],[218])).
% 3.40/2.45 tff(220,plain,
% 3.40/2.45 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))),
% 3.40/2.45 inference(quant_inst,[status(thm)],[])).
% 3.40/2.45 tff(221,plain,
% 3.40/2.45 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.40/2.45 inference(unit_resolution,[status(thm)],[220, 17])).
% 3.40/2.45 tff(222,plain,
% 3.40/2.45 (double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.40/2.45 inference(symmetry,[status(thm)],[221])).
% 3.40/2.45 tff(223,plain,
% 3.40/2.45 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))),
% 3.40/2.45 inference(quant_inst,[status(thm)],[])).
% 3.40/2.45 tff(224,plain,
% 3.40/2.45 (double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.40/2.45 inference(unit_resolution,[status(thm)],[223, 17])).
% 3.40/2.45 tff(225,plain,
% 3.40/2.45 (double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), identity) = double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.40/2.46 inference(monotonicity,[status(thm)],[205, 64])).
% 3.40/2.46 tff(226,plain,
% 3.40/2.46 (double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), identity) = double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))),
% 3.40/2.46 inference(transitivity,[status(thm)],[225, 224, 222, 219, 191, 189])).
% 3.40/2.46 tff(227,plain,
% 3.40/2.46 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))))),
% 3.40/2.46 inference(quant_inst,[status(thm)],[])).
% 3.40/2.46 tff(228,plain,
% 3.40/2.46 (double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3)))),
% 3.40/2.46 inference(unit_resolution,[status(thm)],[227, 17])).
% 3.40/2.46 tff(229,plain,
% 3.40/2.46 (double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)) = double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), inverse(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))))),
% 3.40/2.46 inference(monotonicity,[status(thm)],[197])).
% 3.40/2.46 tff(230,plain,
% 3.40/2.46 (double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)) = double_divide(identity, identity)),
% 3.40/2.46 inference(transitivity,[status(thm)],[229, 194, 41, 63, 62, 19])).
% 3.40/2.46 tff(231,plain,
% 3.40/2.46 (double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.40/2.46 inference(monotonicity,[status(thm)],[230])).
% 3.40/2.46 tff(232,plain,
% 3.40/2.46 (double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))) = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3)))),
% 3.40/2.46 inference(transitivity,[status(thm)],[231, 228])).
% 3.40/2.46 tff(233,plain,
% 3.40/2.46 (double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), identity)) = double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)))),
% 3.40/2.46 inference(monotonicity,[status(thm)],[232, 226])).
% 3.40/2.46 tff(234,plain,
% 3.40/2.46 (double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), identity))),
% 3.40/2.47 inference(symmetry,[status(thm)],[233])).
% 3.40/2.47 tff(235,plain,
% 3.40/2.47 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))))),
% 3.40/2.47 inference(quant_inst,[status(thm)],[])).
% 3.40/2.47 tff(236,plain,
% 3.40/2.47 (double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)))),
% 3.40/2.47 inference(unit_resolution,[status(thm)],[235, 17])).
% 3.40/2.47 tff(237,plain,
% 3.40/2.47 (double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity) = multiply(b3, c3)),
% 3.40/2.47 inference(transitivity,[status(thm)],[92, 91])).
% 3.40/2.47 tff(238,plain,
% 3.40/2.47 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))))),
% 3.40/2.47 inference(quant_inst,[status(thm)],[])).
% 3.40/2.47 tff(239,plain,
% 3.40/2.47 (double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))))),
% 3.40/2.47 inference(unit_resolution,[status(thm)],[238, 17])).
% 3.40/2.47 tff(240,plain,
% 3.40/2.47 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(multiply(b3, c3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))),
% 3.40/2.48 inference(quant_inst,[status(thm)],[])).
% 3.40/2.48 tff(241,plain,
% 3.40/2.48 (double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(multiply(b3, c3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))),
% 3.40/2.48 inference(unit_resolution,[status(thm)],[240, 17])).
% 3.40/2.48 tff(242,plain,
% 3.40/2.48 (double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(multiply(b3, c3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(multiply(b3, c3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.40/2.48 inference(monotonicity,[status(thm)],[45])).
% 3.40/2.48 tff(243,plain,
% 3.40/2.48 (double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(multiply(b3, c3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = identity),
% 3.40/2.48 inference(transitivity,[status(thm)],[242, 241, 42])).
% 3.40/2.48 tff(244,plain,
% 3.40/2.48 (double_divide(double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(multiply(b3, c3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(identity, identity)),
% 3.40/2.48 inference(monotonicity,[status(thm)],[243, 68])).
% 3.40/2.48 tff(245,plain,
% 3.40/2.48 (double_divide(double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(multiply(b3, c3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = identity),
% 3.40/2.48 inference(transitivity,[status(thm)],[244, 67, 61, 54, 42])).
% 3.40/2.48 tff(246,plain,
% 3.40/2.48 (double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(multiply(b3, c3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(identity, identity)),
% 3.40/2.48 inference(monotonicity,[status(thm)],[42, 245])).
% 3.40/2.48 tff(247,plain,
% 3.40/2.48 (double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(multiply(b3, c3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = identity),
% 3.40/2.48 inference(transitivity,[status(thm)],[246, 67, 61, 54, 42])).
% 3.40/2.48 tff(248,plain,
% 3.40/2.48 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(multiply(b3, c3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(identity, identity)),
% 3.40/2.48 inference(monotonicity,[status(thm)],[247, 69])).
% 3.40/2.48 tff(249,plain,
% 3.40/2.48 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(multiply(b3, c3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(multiply(b3, c3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))),
% 3.40/2.48 inference(quant_inst,[status(thm)],[])).
% 3.40/2.48 tff(250,plain,
% 3.40/2.48 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(multiply(b3, c3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(multiply(b3, c3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.40/2.48 inference(unit_resolution,[status(thm)],[249, 17])).
% 3.40/2.48 tff(251,plain,
% 3.40/2.48 (double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(multiply(b3, c3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(multiply(b3, c3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.40/2.48 inference(symmetry,[status(thm)],[250])).
% 3.40/2.48 tff(252,plain,
% 3.40/2.48 (double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity)), identity) = multiply(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))),
% 3.40/2.48 inference(symmetry,[status(thm)],[78])).
% 3.40/2.48 tff(253,plain,
% 3.40/2.48 (double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity)), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity)), identity)),
% 3.40/2.48 inference(monotonicity,[status(thm)],[206])).
% 3.40/2.48 tff(254,plain,
% 3.40/2.48 (double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity)), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = multiply(b3, c3)),
% 3.40/2.48 inference(transitivity,[status(thm)],[253, 252, 88])).
% 3.40/2.48 tff(255,plain,
% 3.40/2.48 (double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity)), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(multiply(b3, c3), identity)),
% 3.40/2.48 inference(monotonicity,[status(thm)],[254, 68])).
% 3.40/2.48 tff(256,plain,
% 3.40/2.48 (double_divide(multiply(b3, c3), identity) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity)), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.40/2.48 inference(symmetry,[status(thm)],[255])).
% 3.40/2.48 tff(257,plain,
% 3.40/2.48 (double_divide(multiply(b3, c3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))) = double_divide(multiply(b3, c3), identity)),
% 3.40/2.48 inference(monotonicity,[status(thm)],[42])).
% 3.40/2.48 tff(258,plain,
% 3.40/2.48 (double_divide(multiply(b3, c3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity)), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.40/2.48 inference(transitivity,[status(thm)],[257, 256])).
% 3.40/2.48 tff(259,plain,
% 3.40/2.48 (double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(multiply(b3, c3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity)), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.40/2.48 inference(monotonicity,[status(thm)],[258])).
% 3.40/2.48 tff(260,plain,
% 3.40/2.48 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(multiply(b3, c3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity)), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.40/2.48 inference(monotonicity,[status(thm)],[259, 43])).
% 3.40/2.48 tff(261,plain,
% 3.40/2.48 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity)), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(multiply(b3, c3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.40/2.48 inference(symmetry,[status(thm)],[260])).
% 3.40/2.48 tff(262,plain,
% 3.40/2.48 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity)), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity)))),
% 3.40/2.49 inference(quant_inst,[status(thm)],[])).
% 3.40/2.49 tff(263,plain,
% 3.40/2.49 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity)), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity))),
% 3.40/2.49 inference(unit_resolution,[status(thm)],[262, 17])).
% 3.40/2.49 tff(264,plain,
% 3.40/2.49 (double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity)) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity)), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.40/2.49 inference(symmetry,[status(thm)],[263])).
% 3.40/2.49 tff(265,plain,
% 3.40/2.49 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(a3, double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity)), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity)))),
% 3.40/2.49 inference(quant_inst,[status(thm)],[])).
% 3.40/2.49 tff(266,plain,
% 3.40/2.49 (double_divide(double_divide(a3, double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity)), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity))),
% 3.40/2.49 inference(unit_resolution,[status(thm)],[265, 17])).
% 3.40/2.49 tff(267,plain,
% 3.40/2.49 (double_divide(a3, double_divide(a3, identity)) = identity),
% 3.40/2.49 inference(transitivity,[status(thm)],[145, 131])).
% 3.40/2.49 tff(268,plain,
% 3.40/2.49 (double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity)), double_divide(a3, double_divide(a3, identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity)), identity)),
% 3.40/2.49 inference(monotonicity,[status(thm)],[267])).
% 3.40/2.49 tff(269,plain,
% 3.40/2.49 (double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity)), double_divide(a3, double_divide(a3, identity))) = multiply(b3, c3)),
% 3.40/2.49 inference(transitivity,[status(thm)],[268, 252, 88])).
% 3.40/2.49 tff(270,plain,
% 3.40/2.49 (double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity)), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity)) = double_divide(multiply(b3, c3), a3)),
% 3.40/2.49 inference(monotonicity,[status(thm)],[269, 144])).
% 3.40/2.49 tff(271,plain,
% 3.40/2.49 (double_divide(multiply(b3, c3), a3) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity)), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity))),
% 3.40/2.49 inference(symmetry,[status(thm)],[270])).
% 3.40/2.49 tff(272,plain,
% 3.40/2.49 (double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(a3, double_divide(a3, identity))) = double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.40/2.49 inference(monotonicity,[status(thm)],[146])).
% 3.40/2.49 tff(273,plain,
% 3.40/2.49 (double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(a3, double_divide(a3, identity))) = multiply(b3, c3)),
% 3.40/2.49 inference(transitivity,[status(thm)],[272, 91])).
% 3.40/2.49 tff(274,plain,
% 3.40/2.49 (double_divide(double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity)) = double_divide(multiply(b3, c3), a3)),
% 3.40/2.49 inference(monotonicity,[status(thm)],[273, 144])).
% 3.40/2.49 tff(275,plain,
% 3.40/2.49 (double_divide(double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity)), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity))),
% 3.40/2.49 inference(transitivity,[status(thm)],[274, 271])).
% 3.40/2.49 tff(276,plain,
% 3.40/2.49 (double_divide(a3, double_divide(double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity))) = double_divide(a3, double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity)), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity)))),
% 3.40/2.49 inference(monotonicity,[status(thm)],[275])).
% 3.40/2.49 tff(277,plain,
% 3.40/2.49 (double_divide(a3, double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity)), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity))) = double_divide(a3, double_divide(double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity)))),
% 3.40/2.49 inference(symmetry,[status(thm)],[276])).
% 3.40/2.49 tff(278,plain,
% 3.40/2.49 (double_divide(double_divide(a3, double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity)), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity))), double_divide(identity, identity)) = double_divide(double_divide(a3, double_divide(double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity))), double_divide(identity, identity))),
% 3.40/2.49 inference(monotonicity,[status(thm)],[277])).
% 3.40/2.49 tff(279,plain,
% 3.40/2.49 (double_divide(double_divide(a3, double_divide(double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity))), double_divide(identity, identity)) = double_divide(double_divide(a3, double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity)), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity))), double_divide(identity, identity))),
% 3.40/2.49 inference(symmetry,[status(thm)],[278])).
% 3.40/2.49 tff(280,plain,
% 3.40/2.49 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(a3, double_divide(double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity))), double_divide(identity, identity)) = double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))),
% 3.45/2.50 inference(quant_inst,[status(thm)],[])).
% 3.45/2.50 tff(281,plain,
% 3.45/2.50 (double_divide(double_divide(a3, double_divide(double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity))), double_divide(identity, identity)) = double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.45/2.50 inference(unit_resolution,[status(thm)],[280, 17])).
% 3.45/2.50 tff(282,plain,
% 3.45/2.50 (double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(a3, double_divide(double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity))), double_divide(identity, identity))),
% 3.45/2.50 inference(symmetry,[status(thm)],[281])).
% 3.45/2.50 tff(283,plain,
% 3.45/2.50 (double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(multiply(b3, c3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.45/2.50 inference(transitivity,[status(thm)],[282, 279, 266, 264, 261])).
% 3.45/2.50 tff(284,plain,
% 3.45/2.50 (double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))) = double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(multiply(b3, c3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.45/2.50 inference(monotonicity,[status(thm)],[283])).
% 3.45/2.50 tff(285,plain,
% 3.45/2.50 (double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))) = double_divide(identity, identity)),
% 3.45/2.50 inference(transitivity,[status(thm)],[284, 251, 248])).
% 3.45/2.50 tff(286,plain,
% 3.45/2.50 (double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))) = double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.45/2.50 inference(monotonicity,[status(thm)],[285])).
% 3.45/2.50 tff(287,plain,
% 3.45/2.50 (double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))) = double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))))),
% 3.45/2.50 inference(transitivity,[status(thm)],[286, 239])).
% 3.45/2.50 tff(288,plain,
% 3.45/2.50 (double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)) = double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))),
% 3.45/2.50 inference(monotonicity,[status(thm)],[287, 237])).
% 3.45/2.50 tff(289,plain,
% 3.45/2.50 (double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3)) = double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))),
% 3.45/2.50 inference(symmetry,[status(thm)],[288])).
% 3.45/2.50 tff(290,plain,
% 3.45/2.50 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(identity, identity)) = double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))))),
% 3.45/2.50 inference(quant_inst,[status(thm)],[])).
% 3.45/2.50 tff(291,plain,
% 3.45/2.50 (double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(identity, identity)) = double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))))),
% 3.45/2.50 inference(unit_resolution,[status(thm)],[290, 17])).
% 3.45/2.50 tff(292,plain,
% 3.45/2.50 (double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))) = double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(identity, identity))),
% 3.45/2.51 inference(monotonicity,[status(thm)],[285])).
% 3.45/2.51 tff(293,plain,
% 3.45/2.51 (double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))) = double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))))),
% 3.45/2.51 inference(transitivity,[status(thm)],[292, 291])).
% 3.45/2.51 tff(294,plain,
% 3.45/2.51 (double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)) = double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))),
% 3.45/2.51 inference(monotonicity,[status(thm)],[293, 237])).
% 3.45/2.51 tff(295,plain,
% 3.45/2.51 (double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))),
% 3.45/2.51 inference(transitivity,[status(thm)],[294, 289])).
% 3.45/2.51 tff(296,plain,
% 3.45/2.51 (double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))) = double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)))),
% 3.45/2.52 inference(monotonicity,[status(thm)],[295])).
% 3.45/2.52 tff(297,plain,
% 3.45/2.52 (double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(identity, identity))),
% 3.45/2.52 inference(monotonicity,[status(thm)],[296])).
% 3.45/2.52 tff(298,plain,
% 3.45/2.52 (double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(identity, identity))),
% 3.45/2.52 inference(symmetry,[status(thm)],[297])).
% 3.45/2.52 tff(299,plain,
% 3.45/2.52 (double_divide(multiply(b3, c3), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))) = double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)))),
% 3.45/2.52 inference(monotonicity,[status(thm)],[289])).
% 3.45/2.52 tff(300,plain,
% 3.45/2.52 (double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))) = double_divide(multiply(b3, c3), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3)))),
% 3.45/2.52 inference(symmetry,[status(thm)],[299])).
% 3.45/2.52 tff(301,plain,
% 3.45/2.52 (double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), identity)),
% 3.45/2.52 inference(monotonicity,[status(thm)],[300, 69])).
% 3.45/2.52 tff(302,plain,
% 3.45/2.52 (double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), identity) = double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(identity, identity))),
% 3.45/2.52 inference(symmetry,[status(thm)],[301])).
% 3.45/2.52 tff(303,plain,
% 3.45/2.52 ((~![Y: $i, X: $i] : (multiply(X, Y) = double_divide(double_divide(Y, X), identity))) | (multiply(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3)), multiply(b3, c3)) = double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), identity))),
% 3.45/2.52 inference(quant_inst,[status(thm)],[])).
% 3.45/2.52 tff(304,plain,
% 3.45/2.52 (multiply(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3)), multiply(b3, c3)) = double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), identity)),
% 3.45/2.52 inference(unit_resolution,[status(thm)],[303, 7])).
% 3.45/2.52 tff(305,plain,
% 3.45/2.52 (double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.45/2.53 inference(symmetry,[status(thm)],[191])).
% 3.45/2.53 tff(306,plain,
% 3.45/2.53 (multiply(b3, c3) = double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.45/2.53 inference(transitivity,[status(thm)],[89, 78, 76])).
% 3.45/2.53 tff(307,plain,
% 3.45/2.53 ((~![X: $i] : (identity = double_divide(X, inverse(X)))) | (identity = double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), inverse(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))))),
% 3.45/2.53 inference(quant_inst,[status(thm)],[])).
% 3.45/2.53 tff(308,plain,
% 3.45/2.53 (identity = double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), inverse(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)))),
% 3.45/2.53 inference(unit_resolution,[status(thm)],[307, 26])).
% 3.45/2.53 tff(309,plain,
% 3.45/2.53 (double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), inverse(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))) = identity),
% 3.45/2.53 inference(symmetry,[status(thm)],[308])).
% 3.45/2.53 tff(310,plain,
% 3.45/2.53 ((~![X: $i] : (inverse(X) = double_divide(X, identity))) | (inverse(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)) = double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), identity))),
% 3.45/2.53 inference(quant_inst,[status(thm)],[])).
% 3.45/2.53 tff(311,plain,
% 3.45/2.53 (inverse(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)) = double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), identity)),
% 3.45/2.53 inference(unit_resolution,[status(thm)],[310, 36])).
% 3.45/2.53 tff(312,plain,
% 3.45/2.53 (double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), identity) = inverse(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))),
% 3.45/2.53 inference(symmetry,[status(thm)],[311])).
% 3.45/2.53 tff(313,plain,
% 3.45/2.53 (double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), identity)),
% 3.45/2.53 inference(symmetry,[status(thm)],[225])).
% 3.45/2.53 tff(314,plain,
% 3.45/2.53 (double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.45/2.53 inference(symmetry,[status(thm)],[224])).
% 3.45/2.53 tff(315,plain,
% 3.45/2.53 (double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = inverse(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))),
% 3.45/2.53 inference(transitivity,[status(thm)],[314, 313, 312])).
% 3.45/2.53 tff(316,plain,
% 3.45/2.53 (c3 = double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.45/2.53 inference(symmetry,[status(thm)],[80])).
% 3.45/2.53 tff(317,plain,
% 3.45/2.53 (c3 = double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)),
% 3.45/2.53 inference(transitivity,[status(thm)],[316, 81])).
% 3.45/2.53 tff(318,plain,
% 3.45/2.53 (double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))) = double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), inverse(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)))),
% 3.45/2.53 inference(monotonicity,[status(thm)],[317, 315])).
% 3.45/2.53 tff(319,plain,
% 3.45/2.53 (double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))) = double_divide(identity, identity)),
% 3.45/2.53 inference(transitivity,[status(thm)],[318, 309, 41, 63, 62, 19])).
% 3.45/2.53 tff(320,plain,
% 3.45/2.53 (b3 = double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(identity, identity))),
% 3.45/2.53 inference(symmetry,[status(thm)],[85])).
% 3.45/2.53 tff(321,plain,
% 3.45/2.53 (b3 = double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.45/2.53 inference(transitivity,[status(thm)],[320, 107])).
% 3.45/2.53 tff(322,plain,
% 3.45/2.53 (double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))) = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.45/2.53 inference(monotonicity,[status(thm)],[321, 319])).
% 3.45/2.53 tff(323,plain,
% 3.45/2.53 (double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))) = double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)))),
% 3.45/2.53 inference(transitivity,[status(thm)],[322, 95])).
% 3.45/2.53 tff(324,plain,
% 3.45/2.53 (double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3)) = double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.45/2.53 inference(monotonicity,[status(thm)],[323, 306])).
% 3.45/2.53 tff(325,plain,
% 3.45/2.53 (double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3)) = double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.45/2.53 inference(transitivity,[status(thm)],[324, 305, 218, 221])).
% 3.45/2.53 tff(326,plain,
% 3.45/2.53 (multiply(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3)), multiply(b3, c3)) = multiply(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), multiply(b3, c3))),
% 3.45/2.53 inference(monotonicity,[status(thm)],[325])).
% 3.45/2.53 tff(327,plain,
% 3.45/2.53 (multiply(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), multiply(b3, c3)) = multiply(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3)), multiply(b3, c3))),
% 3.45/2.53 inference(symmetry,[status(thm)],[326])).
% 3.45/2.53 tff(328,plain,
% 3.45/2.53 ((~![Y: $i, X: $i] : (multiply(X, Y) = double_divide(double_divide(Y, X), identity))) | (multiply(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), multiply(b3, c3)) = double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))), identity))),
% 3.45/2.53 inference(quant_inst,[status(thm)],[])).
% 3.45/2.53 tff(329,plain,
% 3.45/2.53 (multiply(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), multiply(b3, c3)) = double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))), identity)),
% 3.45/2.53 inference(unit_resolution,[status(thm)],[328, 7])).
% 3.45/2.53 tff(330,plain,
% 3.45/2.53 (double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))), identity) = multiply(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), multiply(b3, c3))),
% 3.45/2.53 inference(symmetry,[status(thm)],[329])).
% 3.45/2.53 tff(331,plain,
% 3.45/2.53 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))) = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.45/2.54 inference(monotonicity,[status(thm)],[116, 285])).
% 3.45/2.54 tff(332,plain,
% 3.45/2.54 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))) = double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)))),
% 3.45/2.54 inference(transitivity,[status(thm)],[331, 95])).
% 3.45/2.54 tff(333,plain,
% 3.45/2.54 (double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)) = double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.45/2.54 inference(monotonicity,[status(thm)],[332, 93])).
% 3.45/2.54 tff(334,plain,
% 3.45/2.54 (double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))),
% 3.45/2.54 inference(symmetry,[status(thm)],[333])).
% 3.45/2.54 tff(335,plain,
% 3.45/2.54 (double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))),
% 3.45/2.54 inference(transitivity,[status(thm)],[222, 219, 191, 334])).
% 3.45/2.54 tff(336,plain,
% 3.45/2.54 (double_divide(multiply(b3, c3), double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))) = double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)))),
% 3.45/2.54 inference(monotonicity,[status(thm)],[335])).
% 3.45/2.54 tff(337,plain,
% 3.45/2.54 (double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))), identity) = double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(identity, identity))),
% 3.45/2.54 inference(monotonicity,[status(thm)],[336, 64])).
% 3.45/2.54 tff(338,plain,
% 3.45/2.54 (double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))), identity)),
% 3.45/2.54 inference(symmetry,[status(thm)],[337])).
% 3.45/2.54 tff(339,plain,
% 3.45/2.54 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity))),
% 3.45/2.54 inference(quant_inst,[status(thm)],[])).
% 3.45/2.54 tff(340,plain,
% 3.45/2.54 (double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity)),
% 3.45/2.54 inference(unit_resolution,[status(thm)],[339, 17])).
% 3.45/2.54 tff(341,plain,
% 3.45/2.54 (double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity) = double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(identity, identity))),
% 3.45/2.55 inference(symmetry,[status(thm)],[340])).
% 3.45/2.55 tff(342,plain,
% 3.45/2.55 (double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), identity))),
% 3.45/2.55 inference(transitivity,[status(thm)],[72, 70, 341, 338, 330, 327, 304, 302, 298, 236, 234])).
% 3.45/2.55 tff(343,plain,
% 3.45/2.55 (double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), identity)))),
% 3.45/2.55 inference(monotonicity,[status(thm)],[342])).
% 3.45/2.55 tff(344,plain,
% 3.45/2.55 (double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), identity))), double_divide(identity, identity))),
% 3.45/2.55 inference(monotonicity,[status(thm)],[343, 43])).
% 3.45/2.55 tff(345,plain,
% 3.45/2.55 (double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.45/2.55 inference(symmetry,[status(thm)],[344])).
% 3.45/2.55 tff(346,plain,
% 3.45/2.55 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)))),
% 3.51/2.55 inference(quant_inst,[status(thm)],[])).
% 3.51/2.55 tff(347,plain,
% 3.51/2.55 (double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))),
% 3.51/2.55 inference(unit_resolution,[status(thm)],[346, 17])).
% 3.51/2.55 tff(348,plain,
% 3.51/2.55 ((~![X: $i] : (identity = double_divide(X, inverse(X)))) | (identity = double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), inverse(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)))))),
% 3.51/2.55 inference(quant_inst,[status(thm)],[])).
% 3.51/2.55 tff(349,plain,
% 3.51/2.55 (identity = double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), inverse(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))))),
% 3.51/2.55 inference(unit_resolution,[status(thm)],[348, 26])).
% 3.51/2.55 tff(350,plain,
% 3.51/2.55 (double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), inverse(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)))) = identity),
% 3.51/2.56 inference(symmetry,[status(thm)],[349])).
% 3.51/2.56 tff(351,plain,
% 3.51/2.56 ((~![X: $i] : (inverse(X) = double_divide(X, identity))) | (inverse(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))) = double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity))),
% 3.51/2.56 inference(quant_inst,[status(thm)],[])).
% 3.51/2.56 tff(352,plain,
% 3.51/2.56 (inverse(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))) = double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity)),
% 3.51/2.56 inference(unit_resolution,[status(thm)],[351, 36])).
% 3.51/2.56 tff(353,plain,
% 3.51/2.56 (double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity) = inverse(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)))),
% 3.51/2.56 inference(symmetry,[status(thm)],[352])).
% 3.51/2.56 tff(354,plain,
% 3.51/2.56 (double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))) = double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity)),
% 3.51/2.56 inference(monotonicity,[status(thm)],[42])).
% 3.51/2.56 tff(355,plain,
% 3.51/2.56 (double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))) = inverse(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)))),
% 3.51/2.56 inference(transitivity,[status(thm)],[354, 353])).
% 3.51/2.56 tff(356,plain,
% 3.51/2.56 (double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), inverse(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))))),
% 3.51/2.56 inference(monotonicity,[status(thm)],[355])).
% 3.51/2.56 tff(357,plain,
% 3.51/2.56 (double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = identity),
% 3.51/2.56 inference(transitivity,[status(thm)],[356, 350])).
% 3.51/2.56 tff(358,plain,
% 3.51/2.56 (double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(identity, identity)),
% 3.51/2.56 inference(monotonicity,[status(thm)],[357, 68])).
% 3.51/2.56 tff(359,plain,
% 3.51/2.56 (double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = identity),
% 3.51/2.56 inference(transitivity,[status(thm)],[358, 67, 61, 54, 42])).
% 3.51/2.56 tff(360,plain,
% 3.51/2.56 (double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity)),
% 3.51/2.56 inference(monotonicity,[status(thm)],[359])).
% 3.51/2.56 tff(361,plain,
% 3.51/2.56 (double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity) = double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.51/2.56 inference(symmetry,[status(thm)],[360])).
% 3.51/2.56 tff(362,plain,
% 3.51/2.56 (double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity), identity) = double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.51/2.57 inference(monotonicity,[status(thm)],[361, 64])).
% 3.51/2.57 tff(363,plain,
% 3.51/2.57 (double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity), identity) = double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))),
% 3.51/2.57 inference(transitivity,[status(thm)],[362, 347])).
% 3.51/2.57 tff(364,plain,
% 3.51/2.57 (double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity)) = double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), inverse(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))))),
% 3.51/2.57 inference(monotonicity,[status(thm)],[353])).
% 3.51/2.57 tff(365,plain,
% 3.51/2.57 (double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity)) = identity),
% 3.51/2.57 inference(transitivity,[status(thm)],[364, 350])).
% 3.51/2.57 tff(366,plain,
% 3.51/2.57 (double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity))) = double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)),
% 3.51/2.57 inference(monotonicity,[status(thm)],[365])).
% 3.51/2.57 tff(367,plain,
% 3.51/2.57 (double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity))) = c3),
% 3.51/2.57 inference(transitivity,[status(thm)],[366, 82, 80])).
% 3.51/2.57 tff(368,plain,
% 3.51/2.57 (double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity))), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity), identity)) = double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)))),
% 3.51/2.57 inference(monotonicity,[status(thm)],[367, 363])).
% 3.51/2.57 tff(369,plain,
% 3.51/2.57 (double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))) = double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity))), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity), identity))),
% 3.51/2.57 inference(symmetry,[status(thm)],[368])).
% 3.51/2.57 tff(370,plain,
% 3.51/2.57 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))) = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.51/2.57 inference(monotonicity,[status(thm)],[116, 71])).
% 3.51/2.57 tff(371,plain,
% 3.51/2.57 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))) = double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity))), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity), identity))),
% 3.51/2.57 inference(transitivity,[status(thm)],[370, 95, 369])).
% 3.51/2.57 tff(372,plain,
% 3.51/2.57 (double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity))), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity), identity)))),
% 3.51/2.57 inference(monotonicity,[status(thm)],[371])).
% 3.51/2.57 tff(373,plain,
% 3.51/2.57 (double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity))), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity), identity))), double_divide(identity, identity))),
% 3.51/2.58 inference(monotonicity,[status(thm)],[372, 43])).
% 3.51/2.58 tff(374,plain,
% 3.51/2.58 (double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity))), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.51/2.58 inference(symmetry,[status(thm)],[373])).
% 3.51/2.58 tff(375,plain,
% 3.51/2.58 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity))), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity), identity))), double_divide(identity, identity)) = double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))),
% 3.51/2.58 inference(quant_inst,[status(thm)],[])).
% 3.51/2.58 tff(376,plain,
% 3.51/2.58 (double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity))), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity), identity))), double_divide(identity, identity)) = double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.51/2.58 inference(unit_resolution,[status(thm)],[375, 17])).
% 3.51/2.58 tff(377,plain,
% 3.51/2.58 (double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity))), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity), identity))), double_divide(identity, identity))),
% 3.51/2.58 inference(symmetry,[status(thm)],[376])).
% 3.51/2.58 tff(378,plain,
% 3.51/2.58 (double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3)) = double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.51/2.58 inference(transitivity,[status(thm)],[324, 305, 218, 221, 377, 374])).
% 3.51/2.58 tff(379,plain,
% 3.51/2.58 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))) = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.51/2.59 inference(monotonicity,[status(thm)],[378])).
% 3.51/2.59 tff(380,plain,
% 3.51/2.59 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3)))),
% 3.51/2.59 inference(symmetry,[status(thm)],[379])).
% 3.51/2.59 tff(381,plain,
% 3.51/2.59 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))),
% 3.51/2.59 inference(quant_inst,[status(thm)],[])).
% 3.51/2.59 tff(382,plain,
% 3.51/2.59 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.51/2.59 inference(unit_resolution,[status(thm)],[381, 17])).
% 3.51/2.59 tff(383,plain,
% 3.51/2.59 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)))),
% 3.51/2.59 inference(quant_inst,[status(thm)],[])).
% 3.51/2.59 tff(384,plain,
% 3.51/2.59 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))),
% 3.51/2.59 inference(unit_resolution,[status(thm)],[383, 17])).
% 3.51/2.59 tff(385,plain,
% 3.51/2.59 (double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity)),
% 3.51/2.59 inference(monotonicity,[status(thm)],[206])).
% 3.51/2.59 tff(386,plain,
% 3.51/2.59 (double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.51/2.59 inference(transitivity,[status(thm)],[385, 361])).
% 3.51/2.59 tff(387,plain,
% 3.51/2.59 (double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.51/2.59 inference(monotonicity,[status(thm)],[386, 43])).
% 3.51/2.59 tff(388,plain,
% 3.51/2.59 (double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.55/2.60 inference(symmetry,[status(thm)],[387])).
% 3.55/2.60 tff(389,plain,
% 3.55/2.60 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity))),
% 3.55/2.60 inference(quant_inst,[status(thm)],[])).
% 3.55/2.60 tff(390,plain,
% 3.55/2.60 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity)),
% 3.55/2.60 inference(unit_resolution,[status(thm)],[389, 17])).
% 3.55/2.60 tff(391,plain,
% 3.55/2.60 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.55/2.60 inference(monotonicity,[status(thm)],[45])).
% 3.55/2.60 tff(392,plain,
% 3.55/2.60 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.55/2.60 inference(transitivity,[status(thm)],[391, 390, 361])).
% 3.55/2.60 tff(393,plain,
% 3.55/2.60 (double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.55/2.60 inference(monotonicity,[status(thm)],[392, 43])).
% 3.55/2.60 tff(394,plain,
% 3.55/2.60 (double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.55/2.60 inference(transitivity,[status(thm)],[393, 388])).
% 3.55/2.60 tff(395,plain,
% 3.55/2.60 (double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.55/2.60 inference(monotonicity,[status(thm)],[394])).
% 3.55/2.60 tff(396,plain,
% 3.55/2.60 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.55/2.61 inference(monotonicity,[status(thm)],[395])).
% 3.55/2.61 tff(397,plain,
% 3.55/2.61 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))),
% 3.55/2.61 inference(quant_inst,[status(thm)],[])).
% 3.55/2.61 tff(398,plain,
% 3.55/2.61 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.55/2.61 inference(unit_resolution,[status(thm)],[397, 17])).
% 3.55/2.61 tff(399,plain,
% 3.55/2.61 (double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.55/2.61 inference(symmetry,[status(thm)],[398])).
% 3.55/2.61 tff(400,plain,
% 3.55/2.61 (double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.55/2.61 inference(monotonicity,[status(thm)],[361, 45])).
% 3.55/2.61 tff(401,plain,
% 3.55/2.61 (double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))),
% 3.55/2.61 inference(transitivity,[status(thm)],[400, 347])).
% 3.55/2.61 tff(402,plain,
% 3.55/2.61 (double_divide(double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity)),
% 3.55/2.61 inference(monotonicity,[status(thm)],[401, 68])).
% 3.55/2.61 tff(403,plain,
% 3.55/2.61 (double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity) = double_divide(double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.55/2.61 inference(symmetry,[status(thm)],[402])).
% 3.55/2.61 tff(404,plain,
% 3.55/2.61 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)))),
% 3.55/2.61 inference(quant_inst,[status(thm)],[])).
% 3.55/2.61 tff(405,plain,
% 3.55/2.61 (double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))),
% 3.55/2.61 inference(unit_resolution,[status(thm)],[404, 17])).
% 3.55/2.61 tff(406,plain,
% 3.55/2.61 (double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.55/2.61 inference(monotonicity,[status(thm)],[45])).
% 3.55/2.62 tff(407,plain,
% 3.55/2.62 (double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))),
% 3.55/2.62 inference(transitivity,[status(thm)],[406, 405])).
% 3.55/2.62 tff(408,plain,
% 3.55/2.62 (double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity)),
% 3.55/2.62 inference(monotonicity,[status(thm)],[407, 68])).
% 3.55/2.62 tff(409,plain,
% 3.55/2.62 (double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.55/2.62 inference(transitivity,[status(thm)],[408, 403])).
% 3.55/2.62 tff(410,plain,
% 3.55/2.62 (double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.55/2.62 inference(monotonicity,[status(thm)],[409])).
% 3.55/2.62 tff(411,plain,
% 3.55/2.62 (double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))),
% 3.55/2.62 inference(transitivity,[status(thm)],[410, 399, 396, 384])).
% 3.55/2.62 tff(412,plain,
% 3.55/2.62 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity)),
% 3.55/2.62 inference(monotonicity,[status(thm)],[411, 69])).
% 3.55/2.62 tff(413,plain,
% 3.55/2.62 (double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.55/2.63 inference(symmetry,[status(thm)],[412])).
% 3.55/2.63 tff(414,plain,
% 3.55/2.63 (double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)) = identity),
% 3.55/2.63 inference(transitivity,[status(thm)],[229, 194])).
% 3.55/2.63 tff(415,plain,
% 3.55/2.63 (double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))) = double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity)),
% 3.55/2.63 inference(monotonicity,[status(thm)],[414])).
% 3.55/2.63 tff(416,plain,
% 3.55/2.63 (double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))) = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3)))),
% 3.55/2.63 inference(transitivity,[status(thm)],[415, 413, 382, 380])).
% 3.55/2.63 tff(417,plain,
% 3.55/2.63 (double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), identity)) = double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)))),
% 3.55/2.63 inference(monotonicity,[status(thm)],[416, 226])).
% 3.55/2.63 tff(418,plain,
% 3.55/2.63 (double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), identity))),
% 3.55/2.63 inference(transitivity,[status(thm)],[417, 234])).
% 3.55/2.63 tff(419,plain,
% 3.55/2.63 (double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), identity))) = double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), identity)))),
% 3.55/2.63 inference(monotonicity,[status(thm)],[418])).
% 3.55/2.63 tff(420,plain,
% 3.55/2.63 (double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), identity))) = double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), identity)))),
% 3.55/2.63 inference(symmetry,[status(thm)],[419])).
% 3.55/2.63 tff(421,plain,
% 3.55/2.63 (double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), identity))), double_divide(identity, identity))),
% 3.55/2.64 inference(monotonicity,[status(thm)],[420])).
% 3.55/2.64 tff(422,plain,
% 3.55/2.64 (double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), identity))), double_divide(identity, identity))),
% 3.60/2.64 inference(symmetry,[status(thm)],[421])).
% 3.60/2.64 tff(423,plain,
% 3.60/2.64 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), identity))), double_divide(identity, identity)) = double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)))),
% 3.60/2.64 inference(quant_inst,[status(thm)],[])).
% 3.60/2.64 tff(424,plain,
% 3.60/2.64 (double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), identity))), double_divide(identity, identity)) = double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))),
% 3.60/2.64 inference(unit_resolution,[status(thm)],[423, 17])).
% 3.60/2.64 tff(425,plain,
% 3.60/2.64 (double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)) = double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), identity))), double_divide(identity, identity))),
% 3.60/2.64 inference(symmetry,[status(thm)],[424])).
% 3.60/2.64 tff(426,plain,
% 3.60/2.64 (double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity), identity) = double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.60/2.64 inference(transitivity,[status(thm)],[362, 347, 425, 422, 345])).
% 3.60/2.64 tff(427,plain,
% 3.60/2.64 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), multiply(b3, c3))), double_divide(multiply(b3, c3), identity))), double_divide(identity, identity)) = double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))))),
% 3.60/2.64 inference(quant_inst,[status(thm)],[])).
% 3.60/2.64 tff(428,plain,
% 3.60/2.64 (double_divide(double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), multiply(b3, c3))), double_divide(multiply(b3, c3), identity))), double_divide(identity, identity)) = double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)))),
% 3.60/2.64 inference(unit_resolution,[status(thm)],[427, 17])).
% 3.60/2.64 tff(429,plain,
% 3.60/2.64 (double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.60/2.65 inference(transitivity,[status(thm)],[170, 91, 89, 78, 76])).
% 3.60/2.65 tff(430,plain,
% 3.60/2.65 (double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.60/2.65 inference(monotonicity,[status(thm)],[429])).
% 3.60/2.65 tff(431,plain,
% 3.60/2.65 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.60/2.65 inference(monotonicity,[status(thm)],[430, 43])).
% 3.60/2.65 tff(432,plain,
% 3.60/2.65 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.60/2.65 inference(symmetry,[status(thm)],[431])).
% 3.60/2.65 tff(433,plain,
% 3.60/2.65 (double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity) = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.60/2.65 inference(symmetry,[status(thm)],[212])).
% 3.60/2.65 tff(434,plain,
% 3.60/2.65 (double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))) = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.60/2.65 inference(transitivity,[status(thm)],[198, 433, 432])).
% 3.60/2.65 tff(435,plain,
% 3.60/2.65 (double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.60/2.65 inference(monotonicity,[status(thm)],[434])).
% 3.60/2.65 tff(436,plain,
% 3.60/2.65 (double_divide(double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.60/2.65 inference(monotonicity,[status(thm)],[435, 43])).
% 3.60/2.65 tff(437,plain,
% 3.60/2.65 (double_divide(double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.60/2.65 inference(symmetry,[status(thm)],[436])).
% 3.60/2.65 tff(438,plain,
% 3.60/2.65 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))))),
% 3.60/2.66 inference(quant_inst,[status(thm)],[])).
% 3.60/2.66 tff(439,plain,
% 3.60/2.66 (double_divide(double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)))),
% 3.60/2.66 inference(unit_resolution,[status(thm)],[438, 17])).
% 3.60/2.66 tff(440,plain,
% 3.60/2.66 (double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))) = double_divide(double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.60/2.66 inference(symmetry,[status(thm)],[439])).
% 3.60/2.66 tff(441,plain,
% 3.60/2.66 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))) = double_divide(double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.60/2.66 inference(transitivity,[status(thm)],[370, 95, 440, 437])).
% 3.60/2.66 tff(442,plain,
% 3.60/2.66 (double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.60/2.66 inference(monotonicity,[status(thm)],[441])).
% 3.60/2.66 tff(443,plain,
% 3.60/2.66 (double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.60/2.66 inference(monotonicity,[status(thm)],[442, 43])).
% 3.60/2.66 tff(444,plain,
% 3.60/2.66 (double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.60/2.66 inference(symmetry,[status(thm)],[443])).
% 3.60/2.66 tff(445,plain,
% 3.60/2.66 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))),
% 3.60/2.66 inference(quant_inst,[status(thm)],[])).
% 3.60/2.66 tff(446,plain,
% 3.60/2.66 (double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.60/2.66 inference(unit_resolution,[status(thm)],[445, 17])).
% 3.60/2.66 tff(447,plain,
% 3.60/2.66 (double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.60/2.66 inference(symmetry,[status(thm)],[446])).
% 3.60/2.66 tff(448,plain,
% 3.60/2.66 (double_divide(multiply(b3, c3), identity) = double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.60/2.66 inference(transitivity,[status(thm)],[179, 182, 447, 444])).
% 3.60/2.66 tff(449,plain,
% 3.60/2.66 (multiply(b3, c3) = inverse(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))),
% 3.60/2.66 inference(transitivity,[status(thm)],[177, 169, 168])).
% 3.60/2.66 tff(450,plain,
% 3.60/2.66 (double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), multiply(b3, c3)) = double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), inverse(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))))),
% 3.60/2.66 inference(monotonicity,[status(thm)],[449])).
% 3.60/2.66 tff(451,plain,
% 3.60/2.66 (double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), multiply(b3, c3)) = double_divide(identity, identity)),
% 3.60/2.66 inference(transitivity,[status(thm)],[450, 165, 41, 63, 62, 19])).
% 3.60/2.66 tff(452,plain,
% 3.60/2.66 (double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), multiply(b3, c3))) = double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(identity, identity))),
% 3.60/2.66 inference(monotonicity,[status(thm)],[451])).
% 3.60/2.66 tff(453,plain,
% 3.60/2.66 (double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), multiply(b3, c3))) = double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity)),
% 3.60/2.67 inference(transitivity,[status(thm)],[452, 340])).
% 3.60/2.67 tff(454,plain,
% 3.60/2.67 (double_divide(double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), multiply(b3, c3))), double_divide(multiply(b3, c3), identity)) = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.60/2.67 inference(monotonicity,[status(thm)],[453, 448])).
% 3.60/2.67 tff(455,plain,
% 3.60/2.67 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), multiply(b3, c3))), double_divide(multiply(b3, c3), identity))),
% 3.60/2.67 inference(symmetry,[status(thm)],[454])).
% 3.60/2.67 tff(456,plain,
% 3.60/2.67 (double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), multiply(b3, c3))) = double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(identity, identity))),
% 3.60/2.67 inference(monotonicity,[status(thm)],[451])).
% 3.60/2.67 tff(457,plain,
% 3.60/2.67 (double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), multiply(b3, c3))) = double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity)),
% 3.60/2.67 inference(transitivity,[status(thm)],[456, 70])).
% 3.60/2.67 tff(458,plain,
% 3.60/2.67 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), multiply(b3, c3))), double_divide(multiply(b3, c3), identity)) = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.60/2.67 inference(monotonicity,[status(thm)],[457, 448])).
% 3.60/2.67 tff(459,plain,
% 3.60/2.67 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), multiply(b3, c3))), double_divide(multiply(b3, c3), identity)) = double_divide(double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), multiply(b3, c3))), double_divide(multiply(b3, c3), identity))),
% 3.60/2.67 inference(transitivity,[status(thm)],[458, 455])).
% 3.60/2.67 tff(460,plain,
% 3.60/2.67 (double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), multiply(b3, c3))), double_divide(multiply(b3, c3), identity))) = double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), multiply(b3, c3))), double_divide(multiply(b3, c3), identity)))),
% 3.60/2.67 inference(monotonicity,[status(thm)],[459])).
% 3.60/2.67 tff(461,plain,
% 3.60/2.67 (double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), multiply(b3, c3))), double_divide(multiply(b3, c3), identity))) = double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), multiply(b3, c3))), double_divide(multiply(b3, c3), identity)))),
% 3.60/2.67 inference(symmetry,[status(thm)],[460])).
% 3.60/2.67 tff(462,plain,
% 3.60/2.67 (double_divide(double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), multiply(b3, c3))), double_divide(multiply(b3, c3), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), multiply(b3, c3))), double_divide(multiply(b3, c3), identity))), double_divide(identity, identity))),
% 3.60/2.68 inference(monotonicity,[status(thm)],[461])).
% 3.60/2.68 tff(463,plain,
% 3.60/2.68 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), multiply(b3, c3))), double_divide(multiply(b3, c3), identity))), double_divide(identity, identity)) = double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))))),
% 3.60/2.68 inference(quant_inst,[status(thm)],[])).
% 3.60/2.68 tff(464,plain,
% 3.60/2.68 (double_divide(double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), multiply(b3, c3))), double_divide(multiply(b3, c3), identity))), double_divide(identity, identity)) = double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)))),
% 3.60/2.68 inference(unit_resolution,[status(thm)],[463, 17])).
% 3.60/2.68 tff(465,plain,
% 3.60/2.68 (double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))) = double_divide(double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), multiply(b3, c3))), double_divide(multiply(b3, c3), identity))), double_divide(identity, identity))),
% 3.60/2.68 inference(symmetry,[status(thm)],[464])).
% 3.60/2.68 tff(466,plain,
% 3.60/2.68 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))),
% 3.60/2.68 inference(quant_inst,[status(thm)],[])).
% 3.60/2.68 tff(467,plain,
% 3.60/2.68 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)),
% 3.60/2.68 inference(unit_resolution,[status(thm)],[466, 17])).
% 3.60/2.68 tff(468,plain,
% 3.60/2.68 (double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.60/2.68 inference(monotonicity,[status(thm)],[205, 45])).
% 3.60/2.68 tff(469,plain,
% 3.60/2.68 (double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.60/2.68 inference(transitivity,[status(thm)],[468, 224])).
% 3.60/2.68 tff(470,plain,
% 3.60/2.68 (double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)),
% 3.60/2.68 inference(monotonicity,[status(thm)],[469, 68])).
% 3.60/2.68 tff(471,plain,
% 3.60/2.68 (double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity) = double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.60/2.68 inference(symmetry,[status(thm)],[470])).
% 3.60/2.68 tff(472,plain,
% 3.60/2.68 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.60/2.68 inference(monotonicity,[status(thm)],[45])).
% 3.60/2.68 tff(473,plain,
% 3.60/2.68 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.60/2.68 inference(transitivity,[status(thm)],[472, 221])).
% 3.60/2.68 tff(474,plain,
% 3.60/2.68 (double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)),
% 3.60/2.69 inference(monotonicity,[status(thm)],[473, 68])).
% 3.60/2.69 tff(475,plain,
% 3.60/2.69 (double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.60/2.69 inference(transitivity,[status(thm)],[474, 471])).
% 3.60/2.69 tff(476,plain,
% 3.60/2.69 (double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.60/2.69 inference(monotonicity,[status(thm)],[475])).
% 3.60/2.69 tff(477,plain,
% 3.60/2.69 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.60/2.69 inference(monotonicity,[status(thm)],[476])).
% 3.60/2.69 tff(478,plain,
% 3.60/2.69 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))),
% 3.60/2.69 inference(quant_inst,[status(thm)],[])).
% 3.60/2.69 tff(479,plain,
% 3.60/2.69 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.60/2.69 inference(unit_resolution,[status(thm)],[478, 17])).
% 3.60/2.69 tff(480,plain,
% 3.60/2.69 (double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.60/2.69 inference(symmetry,[status(thm)],[479])).
% 3.60/2.69 tff(481,plain,
% 3.60/2.69 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))),
% 3.60/2.69 inference(quant_inst,[status(thm)],[])).
% 3.60/2.69 tff(482,plain,
% 3.60/2.69 (double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)),
% 3.60/2.69 inference(unit_resolution,[status(thm)],[481, 17])).
% 3.60/2.69 tff(483,plain,
% 3.60/2.69 (double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.60/2.69 inference(monotonicity,[status(thm)],[45])).
% 3.60/2.69 tff(484,plain,
% 3.60/2.69 (double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.60/2.70 inference(transitivity,[status(thm)],[483, 482, 205])).
% 3.60/2.70 tff(485,plain,
% 3.60/2.70 (double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.60/2.70 inference(monotonicity,[status(thm)],[484, 43])).
% 3.60/2.70 tff(486,plain,
% 3.60/2.70 (double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.60/2.70 inference(transitivity,[status(thm)],[485, 210])).
% 3.60/2.70 tff(487,plain,
% 3.60/2.70 (double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.60/2.70 inference(monotonicity,[status(thm)],[486])).
% 3.60/2.70 tff(488,plain,
% 3.60/2.70 (double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.60/2.70 inference(transitivity,[status(thm)],[487, 480, 477, 467, 205])).
% 3.60/2.70 tff(489,plain,
% 3.60/2.70 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.60/2.70 inference(monotonicity,[status(thm)],[488])).
% 3.60/2.70 tff(490,plain,
% 3.60/2.70 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))),
% 3.60/2.71 inference(quant_inst,[status(thm)],[])).
% 3.60/2.71 tff(491,plain,
% 3.60/2.71 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.60/2.71 inference(unit_resolution,[status(thm)],[490, 17])).
% 3.60/2.71 tff(492,plain,
% 3.60/2.71 (double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.60/2.71 inference(symmetry,[status(thm)],[491])).
% 3.60/2.71 tff(493,plain,
% 3.60/2.71 (double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))) = double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.60/2.71 inference(monotonicity,[status(thm)],[205, 71])).
% 3.60/2.71 tff(494,plain,
% 3.60/2.71 (double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))) = double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))),
% 3.60/2.71 inference(transitivity,[status(thm)],[493, 224, 222, 219, 191, 189])).
% 3.60/2.71 tff(495,plain,
% 3.60/2.71 (double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)))),
% 3.60/2.71 inference(monotonicity,[status(thm)],[494])).
% 3.60/2.71 tff(496,plain,
% 3.60/2.71 (double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(identity, identity))),
% 3.60/2.71 inference(monotonicity,[status(thm)],[495, 43])).
% 3.60/2.71 tff(497,plain,
% 3.60/2.71 (double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.60/2.72 inference(symmetry,[status(thm)],[496])).
% 3.60/2.72 tff(498,plain,
% 3.60/2.72 (double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))) = double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(identity, identity))),
% 3.60/2.72 inference(symmetry,[status(thm)],[291])).
% 3.60/2.72 tff(499,plain,
% 3.60/2.72 (double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))) = double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.60/2.72 inference(monotonicity,[status(thm)],[71])).
% 3.60/2.72 tff(500,plain,
% 3.60/2.72 (double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))) = double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.60/2.72 inference(transitivity,[status(thm)],[499, 239, 498, 497])).
% 3.60/2.72 tff(501,plain,
% 3.60/2.72 (double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.60/2.72 inference(monotonicity,[status(thm)],[500])).
% 3.60/2.72 tff(502,plain,
% 3.60/2.72 (double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.60/2.72 inference(monotonicity,[status(thm)],[501, 43])).
% 3.60/2.72 tff(503,plain,
% 3.60/2.72 (double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.60/2.73 inference(symmetry,[status(thm)],[502])).
% 3.60/2.73 tff(504,plain,
% 3.60/2.73 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.60/2.73 inference(symmetry,[status(thm)],[228])).
% 3.60/2.73 tff(505,plain,
% 3.60/2.73 (double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity) = double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.60/2.73 inference(transitivity,[status(thm)],[413, 382, 380, 504, 503])).
% 3.60/2.73 tff(506,plain,
% 3.60/2.73 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))),
% 3.60/2.73 inference(quant_inst,[status(thm)],[])).
% 3.60/2.73 tff(507,plain,
% 3.60/2.73 (double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.60/2.73 inference(unit_resolution,[status(thm)],[506, 17])).
% 3.60/2.73 tff(508,plain,
% 3.60/2.73 (double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity) = double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.60/2.73 inference(transitivity,[status(thm)],[341, 338, 330, 327, 304, 302, 507])).
% 3.60/2.73 tff(509,plain,
% 3.60/2.73 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity)) = double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.60/2.73 inference(monotonicity,[status(thm)],[508, 505])).
% 3.60/2.73 tff(510,plain,
% 3.60/2.73 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity)) = double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))),
% 3.60/2.73 inference(transitivity,[status(thm)],[509, 492, 489, 224, 222, 219, 191, 334])).
% 3.60/2.73 tff(511,plain,
% 3.60/2.73 (double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity))) = double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)))),
% 3.60/2.73 inference(monotonicity,[status(thm)],[510])).
% 3.60/2.73 tff(512,plain,
% 3.60/2.73 (double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity))) = double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)))),
% 3.60/2.73 inference(transitivity,[status(thm)],[511, 465, 462, 428])).
% 3.60/2.73 tff(513,plain,
% 3.60/2.73 (double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity))), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity), identity)) = double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.60/2.74 inference(monotonicity,[status(thm)],[512, 426])).
% 3.60/2.74 tff(514,plain,
% 3.60/2.74 (double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity))), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity), identity))),
% 3.60/2.74 inference(symmetry,[status(thm)],[513])).
% 3.70/2.74 tff(515,plain,
% 3.70/2.74 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))),
% 3.70/2.74 inference(quant_inst,[status(thm)],[])).
% 3.70/2.74 tff(516,plain,
% 3.70/2.74 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.70/2.74 inference(unit_resolution,[status(thm)],[515, 17])).
% 3.70/2.74 tff(517,plain,
% 3.70/2.74 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))),
% 3.70/2.74 inference(quant_inst,[status(thm)],[])).
% 3.70/2.74 tff(518,plain,
% 3.70/2.74 (double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.70/2.74 inference(unit_resolution,[status(thm)],[517, 17])).
% 3.70/2.74 tff(519,plain,
% 3.70/2.74 (double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.70/2.75 inference(monotonicity,[status(thm)],[45])).
% 3.70/2.75 tff(520,plain,
% 3.70/2.75 (double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.70/2.75 inference(transitivity,[status(thm)],[519, 518])).
% 3.70/2.75 tff(521,plain,
% 3.70/2.75 (double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)),
% 3.70/2.75 inference(monotonicity,[status(thm)],[520, 68])).
% 3.70/2.75 tff(522,plain,
% 3.70/2.75 (double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.70/2.75 inference(transitivity,[status(thm)],[521, 471])).
% 3.70/2.75 tff(523,plain,
% 3.70/2.75 (double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.70/2.75 inference(monotonicity,[status(thm)],[522])).
% 3.70/2.75 tff(524,plain,
% 3.70/2.75 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.70/2.75 inference(monotonicity,[status(thm)],[523])).
% 3.70/2.75 tff(525,plain,
% 3.70/2.75 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))),
% 3.70/2.75 inference(quant_inst,[status(thm)],[])).
% 3.70/2.75 tff(526,plain,
% 3.70/2.75 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.70/2.75 inference(unit_resolution,[status(thm)],[525, 17])).
% 3.70/2.75 tff(527,plain,
% 3.70/2.75 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.70/2.75 inference(symmetry,[status(thm)],[526])).
% 3.70/2.75 tff(528,plain,
% 3.70/2.75 (double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))) = double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)),
% 3.70/2.75 inference(transitivity,[status(thm)],[63, 62, 19, 44])).
% 3.70/2.75 tff(529,plain,
% 3.70/2.75 (double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))) = double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.70/2.75 inference(monotonicity,[status(thm)],[528])).
% 3.70/2.75 tff(530,plain,
% 3.70/2.75 (double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.70/2.75 inference(monotonicity,[status(thm)],[529])).
% 3.70/2.75 tff(531,plain,
% 3.70/2.75 (double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)),
% 3.70/2.75 inference(monotonicity,[status(thm)],[530, 68])).
% 3.70/2.75 tff(532,plain,
% 3.70/2.75 (double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity) = double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.70/2.75 inference(symmetry,[status(thm)],[531])).
% 3.70/2.75 tff(533,plain,
% 3.70/2.75 (double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))) = double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.70/2.76 inference(transitivity,[status(thm)],[198, 532])).
% 3.70/2.76 tff(534,plain,
% 3.70/2.76 (double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.70/2.76 inference(monotonicity,[status(thm)],[533])).
% 3.70/2.76 tff(535,plain,
% 3.70/2.76 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.70/2.76 inference(monotonicity,[status(thm)],[534, 43])).
% 3.70/2.76 tff(536,plain,
% 3.70/2.76 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.70/2.76 inference(symmetry,[status(thm)],[535])).
% 3.70/2.76 tff(537,plain,
% 3.70/2.76 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))) = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.70/2.76 inference(monotonicity,[status(thm)],[71])).
% 3.70/2.76 tff(538,plain,
% 3.70/2.76 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))) = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.70/2.76 inference(transitivity,[status(thm)],[537, 536])).
% 3.70/2.76 tff(539,plain,
% 3.70/2.76 (double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.70/2.76 inference(monotonicity,[status(thm)],[538])).
% 3.70/2.76 tff(540,plain,
% 3.70/2.76 (double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.70/2.76 inference(monotonicity,[status(thm)],[539, 43])).
% 3.70/2.76 tff(541,plain,
% 3.70/2.76 (double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.70/2.76 inference(symmetry,[status(thm)],[540])).
% 3.70/2.76 tff(542,plain,
% 3.70/2.76 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))))),
% 3.70/2.76 inference(quant_inst,[status(thm)],[])).
% 3.70/2.76 tff(543,plain,
% 3.70/2.76 (double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))))),
% 3.70/2.76 inference(unit_resolution,[status(thm)],[542, 17])).
% 3.70/2.76 tff(544,plain,
% 3.70/2.76 (double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.70/2.76 inference(symmetry,[status(thm)],[543])).
% 3.70/2.76 tff(545,plain,
% 3.70/2.76 (double_divide(double_divide(b3, a3), identity) = double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))),
% 3.70/2.76 inference(monotonicity,[status(thm)],[41])).
% 3.70/2.76 tff(546,plain,
% 3.70/2.76 ((~![X: $i] : (identity = double_divide(X, inverse(X)))) | (identity = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), inverse(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))))),
% 3.70/2.76 inference(quant_inst,[status(thm)],[])).
% 3.70/2.76 tff(547,plain,
% 3.70/2.76 (identity = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), inverse(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))))),
% 3.70/2.76 inference(unit_resolution,[status(thm)],[546, 26])).
% 3.70/2.76 tff(548,plain,
% 3.70/2.76 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), inverse(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))) = identity),
% 3.70/2.76 inference(symmetry,[status(thm)],[547])).
% 3.70/2.76 tff(549,plain,
% 3.70/2.76 ((~![X: $i] : (inverse(X) = double_divide(X, identity))) | (inverse(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))) = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))),
% 3.70/2.76 inference(quant_inst,[status(thm)],[])).
% 3.70/2.76 tff(550,plain,
% 3.70/2.76 (inverse(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))) = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)),
% 3.70/2.76 inference(unit_resolution,[status(thm)],[549, 36])).
% 3.70/2.76 tff(551,plain,
% 3.70/2.76 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity) = inverse(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))),
% 3.70/2.76 inference(symmetry,[status(thm)],[550])).
% 3.70/2.76 tff(552,plain,
% 3.70/2.76 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity) = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.70/2.76 inference(monotonicity,[status(thm)],[64])).
% 3.70/2.76 tff(553,plain,
% 3.70/2.76 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)),
% 3.70/2.76 inference(symmetry,[status(thm)],[552])).
% 3.70/2.76 tff(554,plain,
% 3.70/2.76 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(b3, a3))),
% 3.70/2.76 inference(quant_inst,[status(thm)],[])).
% 3.70/2.76 tff(555,plain,
% 3.70/2.76 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(b3, a3)),
% 3.70/2.77 inference(unit_resolution,[status(thm)],[554, 17])).
% 3.70/2.77 tff(556,plain,
% 3.70/2.77 (double_divide(b3, a3) = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.70/2.77 inference(symmetry,[status(thm)],[555])).
% 3.70/2.77 tff(557,plain,
% 3.70/2.77 (double_divide(b3, a3) = inverse(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))),
% 3.70/2.77 inference(transitivity,[status(thm)],[556, 553, 551])).
% 3.70/2.77 tff(558,plain,
% 3.70/2.77 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b3, a3)) = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), inverse(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))))),
% 3.70/2.77 inference(monotonicity,[status(thm)],[557])).
% 3.70/2.77 tff(559,plain,
% 3.70/2.77 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b3, a3)) = double_divide(identity, identity)),
% 3.70/2.77 inference(transitivity,[status(thm)],[558, 548, 41, 63, 62, 19])).
% 3.70/2.77 tff(560,plain,
% 3.70/2.77 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b3, a3))) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.70/2.77 inference(monotonicity,[status(thm)],[559])).
% 3.70/2.77 tff(561,plain,
% 3.70/2.77 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b3, a3))) = c3),
% 3.70/2.77 inference(transitivity,[status(thm)],[560, 467, 82, 80])).
% 3.70/2.77 tff(562,plain,
% 3.70/2.77 (double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b3, a3))), double_divide(double_divide(b3, a3), identity)) = double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))))),
% 3.70/2.77 inference(monotonicity,[status(thm)],[561, 545])).
% 3.70/2.77 tff(563,plain,
% 3.70/2.77 (double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b3, a3))), double_divide(double_divide(b3, a3), identity)) = double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.70/2.77 inference(transitivity,[status(thm)],[562, 544, 541])).
% 3.70/2.77 tff(564,plain,
% 3.70/2.77 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b3, a3))), double_divide(double_divide(b3, a3), identity))) = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.70/2.77 inference(monotonicity,[status(thm)],[563])).
% 3.70/2.77 tff(565,plain,
% 3.70/2.77 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b3, a3))), double_divide(double_divide(b3, a3), identity))) = double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.70/2.77 inference(transitivity,[status(thm)],[564, 527, 524, 467, 205])).
% 3.70/2.77 tff(566,plain,
% 3.70/2.77 (double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b3, a3))), double_divide(double_divide(b3, a3), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.70/2.77 inference(monotonicity,[status(thm)],[565])).
% 3.70/2.77 tff(567,plain,
% 3.70/2.77 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b3, a3))), double_divide(double_divide(b3, a3), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))),
% 3.70/2.78 inference(quant_inst,[status(thm)],[])).
% 3.70/2.78 tff(568,plain,
% 3.70/2.78 (double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b3, a3))), double_divide(double_divide(b3, a3), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.70/2.78 inference(unit_resolution,[status(thm)],[567, 17])).
% 3.70/2.78 tff(569,plain,
% 3.70/2.78 (double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b3, a3))), double_divide(double_divide(b3, a3), identity))), double_divide(identity, identity))),
% 3.70/2.78 inference(symmetry,[status(thm)],[568])).
% 3.70/2.78 tff(570,plain,
% 3.70/2.78 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))),
% 3.70/2.78 inference(quant_inst,[status(thm)],[])).
% 3.70/2.78 tff(571,plain,
% 3.70/2.78 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.70/2.78 inference(unit_resolution,[status(thm)],[570, 17])).
% 3.70/2.78 tff(572,plain,
% 3.70/2.78 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.70/2.78 inference(monotonicity,[status(thm)],[45])).
% 3.70/2.78 tff(573,plain,
% 3.70/2.78 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.70/2.78 inference(transitivity,[status(thm)],[572, 571])).
% 3.70/2.78 tff(574,plain,
% 3.70/2.78 (double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)),
% 3.70/2.78 inference(monotonicity,[status(thm)],[573, 68])).
% 3.70/2.78 tff(575,plain,
% 3.70/2.78 (double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.70/2.78 inference(transitivity,[status(thm)],[574, 471])).
% 3.70/2.78 tff(576,plain,
% 3.70/2.78 (double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.70/2.78 inference(monotonicity,[status(thm)],[575])).
% 3.70/2.78 tff(577,plain,
% 3.70/2.78 (double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.70/2.79 inference(transitivity,[status(thm)],[576, 569, 566, 224])).
% 3.70/2.79 tff(578,plain,
% 3.70/2.79 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)),
% 3.70/2.79 inference(monotonicity,[status(thm)],[577, 69])).
% 3.70/2.79 tff(579,plain,
% 3.70/2.79 (double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.70/2.79 inference(symmetry,[status(thm)],[578])).
% 3.70/2.79 tff(580,plain,
% 3.70/2.79 (double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity) = double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity))), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity), identity))),
% 3.70/2.79 inference(transitivity,[status(thm)],[579, 516, 514])).
% 3.70/2.79 tff(581,plain,
% 3.70/2.79 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), identity))), double_divide(identity, identity)) = double_divide(b3, a3))),
% 3.70/2.79 inference(quant_inst,[status(thm)],[])).
% 3.70/2.79 tff(582,plain,
% 3.70/2.79 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), identity))), double_divide(identity, identity)) = double_divide(b3, a3)),
% 3.70/2.79 inference(unit_resolution,[status(thm)],[581, 17])).
% 3.70/2.79 tff(583,plain,
% 3.70/2.79 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))) = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity))),
% 3.70/2.79 inference(transitivity,[status(thm)],[537, 555, 150])).
% 3.70/2.79 tff(584,plain,
% 3.70/2.79 (double_divide(a3, double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(a3, double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity)))),
% 3.70/2.79 inference(monotonicity,[status(thm)],[583])).
% 3.70/2.79 tff(585,plain,
% 3.70/2.79 (double_divide(double_divide(a3, double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(double_divide(a3, double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity))), double_divide(identity, identity))),
% 3.70/2.79 inference(monotonicity,[status(thm)],[584, 43])).
% 3.70/2.79 tff(586,plain,
% 3.70/2.79 (double_divide(double_divide(a3, double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity))), double_divide(identity, identity)) = double_divide(double_divide(a3, double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.70/2.79 inference(symmetry,[status(thm)],[585])).
% 3.70/2.79 tff(587,plain,
% 3.70/2.79 (double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))) = double_divide(double_divide(a3, double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity))), double_divide(identity, identity))),
% 3.70/2.79 inference(symmetry,[status(thm)],[111])).
% 3.70/2.79 tff(588,plain,
% 3.70/2.79 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), identity) = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.70/2.79 inference(monotonicity,[status(thm)],[116, 64])).
% 3.70/2.79 tff(589,plain,
% 3.70/2.79 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), identity) = double_divide(double_divide(a3, double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.70/2.79 inference(transitivity,[status(thm)],[588, 95, 587, 586])).
% 3.70/2.79 tff(590,plain,
% 3.70/2.79 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))),
% 3.70/2.80 inference(quant_inst,[status(thm)],[])).
% 3.70/2.80 tff(591,plain,
% 3.70/2.80 (double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.70/2.80 inference(unit_resolution,[status(thm)],[590, 17])).
% 3.70/2.80 tff(592,plain,
% 3.70/2.80 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))) = inverse(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))),
% 3.70/2.80 inference(transitivity,[status(thm)],[537, 553, 551])).
% 3.70/2.80 tff(593,plain,
% 3.70/2.80 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), inverse(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))))),
% 3.70/2.80 inference(monotonicity,[status(thm)],[592])).
% 3.70/2.80 tff(594,plain,
% 3.70/2.80 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = identity),
% 3.70/2.80 inference(transitivity,[status(thm)],[593, 548])).
% 3.70/2.80 tff(595,plain,
% 3.70/2.80 (double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(identity, identity)),
% 3.70/2.80 inference(monotonicity,[status(thm)],[594, 68])).
% 3.70/2.80 tff(596,plain,
% 3.70/2.80 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.70/2.80 inference(monotonicity,[status(thm)],[595])).
% 3.70/2.80 tff(597,plain,
% 3.70/2.80 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.70/2.80 inference(symmetry,[status(thm)],[596])).
% 3.70/2.80 tff(598,plain,
% 3.70/2.80 (double_divide(b3, a3) = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.70/2.80 inference(transitivity,[status(thm)],[556, 597])).
% 3.70/2.80 tff(599,plain,
% 3.70/2.80 (double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))) = double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.70/2.80 inference(monotonicity,[status(thm)],[598, 71])).
% 3.70/2.80 tff(600,plain,
% 3.70/2.80 (double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity)) = double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), inverse(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)))))),
% 3.70/2.80 inference(monotonicity,[status(thm)],[101])).
% 3.70/2.80 tff(601,plain,
% 3.70/2.80 (double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity)) = double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))),
% 3.70/2.81 inference(transitivity,[status(thm)],[600, 98, 41])).
% 3.70/2.81 tff(602,plain,
% 3.70/2.81 (double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity))) = double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))),
% 3.70/2.81 inference(monotonicity,[status(thm)],[601])).
% 3.70/2.81 tff(603,plain,
% 3.70/2.81 (double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity))) = double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.70/2.81 inference(transitivity,[status(thm)],[602, 599, 591])).
% 3.70/2.81 tff(604,plain,
% 3.70/2.81 (double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), identity)) = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a3, double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.70/2.81 inference(monotonicity,[status(thm)],[603, 589])).
% 3.70/2.81 tff(605,plain,
% 3.70/2.81 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a3, double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), identity))),
% 3.70/2.81 inference(symmetry,[status(thm)],[604])).
% 3.70/2.81 tff(606,plain,
% 3.70/2.81 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))),
% 3.70/2.81 inference(quant_inst,[status(thm)],[])).
% 3.70/2.81 tff(607,plain,
% 3.70/2.81 (double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.70/2.81 inference(unit_resolution,[status(thm)],[606, 17])).
% 3.70/2.81 tff(608,plain,
% 3.70/2.81 (double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity)) = double_divide(identity, identity)),
% 3.77/2.81 inference(transitivity,[status(thm)],[600, 98, 41, 63, 62, 19])).
% 3.77/2.81 tff(609,plain,
% 3.77/2.81 (double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity))) = double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.77/2.81 inference(monotonicity,[status(thm)],[608])).
% 3.77/2.81 tff(610,plain,
% 3.77/2.81 (double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity))) = double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.77/2.81 inference(transitivity,[status(thm)],[609, 607])).
% 3.77/2.81 tff(611,plain,
% 3.77/2.81 (double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), identity)) = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a3, double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.77/2.82 inference(monotonicity,[status(thm)],[610, 589])).
% 3.77/2.82 tff(612,plain,
% 3.77/2.82 (double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), identity)) = double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), identity))),
% 3.77/2.82 inference(transitivity,[status(thm)],[611, 605])).
% 3.77/2.82 tff(613,plain,
% 3.77/2.82 (double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), identity))) = double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), identity)))),
% 3.77/2.82 inference(monotonicity,[status(thm)],[612])).
% 3.77/2.82 tff(614,plain,
% 3.77/2.82 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), identity))), double_divide(identity, identity))),
% 3.77/2.82 inference(monotonicity,[status(thm)],[613])).
% 3.77/2.82 tff(615,plain,
% 3.77/2.82 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))),
% 3.77/2.83 inference(quant_inst,[status(thm)],[])).
% 3.77/2.83 tff(616,plain,
% 3.77/2.83 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.77/2.83 inference(unit_resolution,[status(thm)],[615, 17])).
% 3.77/2.83 tff(617,plain,
% 3.77/2.83 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), identity))), double_divide(identity, identity))),
% 3.77/2.83 inference(symmetry,[status(thm)],[616])).
% 3.77/2.83 tff(618,plain,
% 3.77/2.83 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))))),
% 3.77/2.83 inference(quant_inst,[status(thm)],[])).
% 3.77/2.83 tff(619,plain,
% 3.77/2.83 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))))),
% 3.77/2.83 inference(unit_resolution,[status(thm)],[618, 17])).
% 3.77/2.83 tff(620,plain,
% 3.77/2.83 ((~![X: $i] : (identity = double_divide(X, inverse(X)))) | (identity = double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), inverse(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))))))),
% 3.77/2.83 inference(quant_inst,[status(thm)],[])).
% 3.77/2.83 tff(621,plain,
% 3.77/2.83 (identity = double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), inverse(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))))))),
% 3.77/2.83 inference(unit_resolution,[status(thm)],[620, 26])).
% 3.77/2.83 tff(622,plain,
% 3.77/2.83 (double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), inverse(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))))) = identity),
% 3.77/2.83 inference(symmetry,[status(thm)],[621])).
% 3.77/2.83 tff(623,plain,
% 3.77/2.83 ((~![X: $i] : (inverse(X) = double_divide(X, identity))) | (inverse(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))))) = double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity))),
% 3.77/2.83 inference(quant_inst,[status(thm)],[])).
% 3.77/2.83 tff(624,plain,
% 3.77/2.83 (inverse(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))))) = double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity)),
% 3.77/2.83 inference(unit_resolution,[status(thm)],[623, 36])).
% 3.77/2.83 tff(625,plain,
% 3.77/2.83 (double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity) = inverse(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))))),
% 3.77/2.83 inference(symmetry,[status(thm)],[624])).
% 3.77/2.83 tff(626,plain,
% 3.77/2.83 (double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity)),
% 3.77/2.83 inference(monotonicity,[status(thm)],[68])).
% 3.77/2.83 tff(627,plain,
% 3.77/2.83 (double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))) = inverse(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))))),
% 3.77/2.83 inference(transitivity,[status(thm)],[529, 626, 625])).
% 3.77/2.83 tff(628,plain,
% 3.77/2.83 (double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), inverse(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))))))),
% 3.77/2.83 inference(monotonicity,[status(thm)],[627])).
% 3.77/2.83 tff(629,plain,
% 3.77/2.83 (double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = identity),
% 3.77/2.83 inference(transitivity,[status(thm)],[628, 622])).
% 3.77/2.83 tff(630,plain,
% 3.77/2.83 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(identity, identity)),
% 3.77/2.83 inference(monotonicity,[status(thm)],[629, 68])).
% 3.77/2.83 tff(631,plain,
% 3.77/2.83 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)),
% 3.77/2.83 inference(transitivity,[status(thm)],[630, 44])).
% 3.77/2.83 tff(632,plain,
% 3.77/2.83 (double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.77/2.83 inference(monotonicity,[status(thm)],[631])).
% 3.77/2.83 tff(633,plain,
% 3.77/2.83 (double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.77/2.83 inference(symmetry,[status(thm)],[632])).
% 3.77/2.83 tff(634,plain,
% 3.77/2.83 (double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity) = double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.77/2.83 inference(symmetry,[status(thm)],[626])).
% 3.77/2.83 tff(635,plain,
% 3.77/2.83 (double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity) = double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.77/2.83 inference(transitivity,[status(thm)],[634, 633])).
% 3.77/2.83 tff(636,plain,
% 3.77/2.83 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))) = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.77/2.83 inference(monotonicity,[status(thm)],[635, 71])).
% 3.77/2.83 tff(637,plain,
% 3.77/2.83 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))) = double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.77/2.83 inference(transitivity,[status(thm)],[636, 619, 544, 541])).
% 3.77/2.83 tff(638,plain,
% 3.77/2.83 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.77/2.83 inference(monotonicity,[status(thm)],[637])).
% 3.77/2.83 tff(639,plain,
% 3.77/2.83 (double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.77/2.84 inference(monotonicity,[status(thm)],[638, 43])).
% 3.77/2.84 tff(640,plain,
% 3.77/2.84 (double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.77/2.84 inference(symmetry,[status(thm)],[639])).
% 3.77/2.84 tff(641,plain,
% 3.77/2.84 (double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.77/2.84 inference(symmetry,[status(thm)],[518])).
% 3.77/2.84 tff(642,plain,
% 3.77/2.84 (double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.77/2.84 inference(transitivity,[status(thm)],[641, 640])).
% 3.77/2.84 tff(643,plain,
% 3.77/2.84 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))) = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.77/2.84 inference(monotonicity,[status(thm)],[642])).
% 3.77/2.84 tff(644,plain,
% 3.77/2.84 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))) = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity))),
% 3.77/2.84 inference(transitivity,[status(thm)],[643, 617, 614, 582, 150])).
% 3.77/2.84 tff(645,plain,
% 3.77/2.84 (double_divide(a3, double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))) = double_divide(a3, double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity)))),
% 3.77/2.84 inference(monotonicity,[status(thm)],[644])).
% 3.77/2.84 tff(646,plain,
% 3.77/2.84 (double_divide(a3, double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))) = double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity)),
% 3.77/2.84 inference(transitivity,[status(thm)],[645, 126, 123, 109])).
% 3.77/2.84 tff(647,plain,
% 3.77/2.84 (double_divide(double_divide(a3, double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)) = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity))), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity), identity)))),
% 3.77/2.84 inference(monotonicity,[status(thm)],[646, 580])).
% 3.77/2.84 tff(648,plain,
% 3.77/2.84 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity))), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity), identity))) = double_divide(double_divide(a3, double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))),
% 3.77/2.84 inference(symmetry,[status(thm)],[647])).
% 3.77/2.84 tff(649,plain,
% 3.77/2.84 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity))), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity))), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity), identity))))),
% 3.77/2.85 inference(quant_inst,[status(thm)],[])).
% 3.77/2.85 tff(650,plain,
% 3.77/2.85 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity))), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity))), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity), identity)))),
% 3.77/2.85 inference(unit_resolution,[status(thm)],[649, 17])).
% 3.77/2.85 tff(651,plain,
% 3.77/2.85 (double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.77/2.85 inference(transitivity,[status(thm)],[354, 413, 382, 380, 504, 503])).
% 3.77/2.85 tff(652,plain,
% 3.77/2.85 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.77/2.85 inference(monotonicity,[status(thm)],[508, 651])).
% 3.77/2.85 tff(653,plain,
% 3.77/2.85 (double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.77/2.85 inference(monotonicity,[status(thm)],[652, 43])).
% 3.77/2.85 tff(654,plain,
% 3.77/2.85 (double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.77/2.86 inference(symmetry,[status(thm)],[653])).
% 3.77/2.86 tff(655,plain,
% 3.77/2.86 (double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity) = double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.77/2.86 inference(symmetry,[status(thm)],[482])).
% 3.77/2.86 tff(656,plain,
% 3.77/2.86 (double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity) = double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.77/2.86 inference(transitivity,[status(thm)],[655, 654])).
% 3.77/2.86 tff(657,plain,
% 3.77/2.86 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))),
% 3.77/2.86 inference(quant_inst,[status(thm)],[])).
% 3.77/2.86 tff(658,plain,
% 3.77/2.86 (double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.77/2.86 inference(unit_resolution,[status(thm)],[657, 17])).
% 3.77/2.86 tff(659,plain,
% 3.77/2.86 (double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), identity))), double_divide(identity, identity))),
% 3.77/2.86 inference(symmetry,[status(thm)],[658])).
% 3.77/2.86 tff(660,plain,
% 3.77/2.86 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))))),
% 3.77/2.86 inference(symmetry,[status(thm)],[322])).
% 3.77/2.86 tff(661,plain,
% 3.77/2.86 (double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))) = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.77/2.87 inference(symmetry,[status(thm)],[95])).
% 3.77/2.87 tff(662,plain,
% 3.77/2.87 (double_divide(multiply(b3, c3), double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))) = double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.77/2.87 inference(transitivity,[status(thm)],[336, 465, 462, 428, 661, 660, 498, 497])).
% 3.77/2.87 tff(663,plain,
% 3.77/2.87 (double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(multiply(b3, c3), double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))) = double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), multiply(b3, c3))), double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.77/2.87 inference(monotonicity,[status(thm)],[662])).
% 3.77/2.87 tff(664,plain,
% 3.77/2.87 (double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(multiply(b3, c3), double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))) = double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))),
% 3.83/2.87 inference(transitivity,[status(thm)],[663, 659, 421, 424])).
% 3.83/2.87 tff(665,plain,
% 3.83/2.87 (double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(multiply(b3, c3), double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)) = double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.83/2.87 inference(monotonicity,[status(thm)],[664, 656])).
% 3.83/2.87 tff(666,plain,
% 3.83/2.87 (double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(multiply(b3, c3), double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))),
% 3.83/2.87 inference(symmetry,[status(thm)],[665])).
% 3.83/2.87 tff(667,plain,
% 3.83/2.87 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(a3, double_divide(double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))),
% 3.83/2.87 inference(quant_inst,[status(thm)],[])).
% 3.83/2.87 tff(668,plain,
% 3.83/2.87 (double_divide(double_divide(a3, double_divide(double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.83/2.87 inference(unit_resolution,[status(thm)],[667, 17])).
% 3.83/2.87 tff(669,plain,
% 3.83/2.87 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity))),
% 3.83/2.88 inference(quant_inst,[status(thm)],[])).
% 3.83/2.88 tff(670,plain,
% 3.83/2.88 (double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity)),
% 3.83/2.88 inference(unit_resolution,[status(thm)],[669, 17])).
% 3.83/2.88 tff(671,plain,
% 3.83/2.88 (double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(a3, double_divide(a3, identity))) = double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.83/2.88 inference(monotonicity,[status(thm)],[146])).
% 3.83/2.88 tff(672,plain,
% 3.83/2.88 (double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(a3, double_divide(a3, identity))) = b3),
% 3.83/2.88 inference(transitivity,[status(thm)],[671, 670, 86, 85])).
% 3.83/2.88 tff(673,plain,
% 3.83/2.88 (double_divide(double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity)) = double_divide(b3, a3)),
% 3.83/2.88 inference(monotonicity,[status(thm)],[672, 144])).
% 3.83/2.88 tff(674,plain,
% 3.83/2.88 (double_divide(double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity)) = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity))),
% 3.83/2.88 inference(transitivity,[status(thm)],[673, 150])).
% 3.83/2.88 tff(675,plain,
% 3.83/2.88 (double_divide(a3, double_divide(double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity))) = double_divide(a3, double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity)))),
% 3.83/2.88 inference(monotonicity,[status(thm)],[674])).
% 3.83/2.88 tff(676,plain,
% 3.83/2.88 (double_divide(a3, double_divide(double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity))) = double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.83/2.89 inference(transitivity,[status(thm)],[675, 126, 123, 109, 86, 107])).
% 3.83/2.89 tff(677,plain,
% 3.83/2.89 (double_divide(double_divide(a3, double_divide(double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.83/2.89 inference(monotonicity,[status(thm)],[676])).
% 3.83/2.89 tff(678,plain,
% 3.83/2.89 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(a3, double_divide(double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(a3, double_divide(a3, identity))), double_divide(double_divide(a3, identity), identity))), double_divide(identity, identity))),
% 3.83/2.89 inference(symmetry,[status(thm)],[677])).
% 3.83/2.89 tff(679,plain,
% 3.83/2.89 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), identity) = double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(multiply(b3, c3), double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))),
% 3.83/2.89 inference(transitivity,[status(thm)],[588, 678, 668, 666])).
% 3.83/2.89 tff(680,plain,
% 3.83/2.89 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity))), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity), identity))), double_divide(identity, identity)) = multiply(b3, c3))),
% 3.83/2.89 inference(quant_inst,[status(thm)],[])).
% 3.83/2.89 tff(681,plain,
% 3.83/2.89 (double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity))), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity), identity))), double_divide(identity, identity)) = multiply(b3, c3)),
% 3.83/2.89 inference(unit_resolution,[status(thm)],[680, 17])).
% 3.83/2.89 tff(682,plain,
% 3.83/2.89 (double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity))), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity))) = double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity))), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity), identity))), double_divide(identity, identity))),
% 3.83/2.89 inference(monotonicity,[status(thm)],[608])).
% 3.83/2.89 tff(683,plain,
% 3.83/2.89 (double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity))), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity))) = multiply(b3, c3)),
% 3.85/2.90 inference(transitivity,[status(thm)],[682, 681])).
% 3.85/2.90 tff(684,plain,
% 3.85/2.90 (double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity))), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), identity)) = double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(multiply(b3, c3), double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)))),
% 3.85/2.90 inference(monotonicity,[status(thm)],[683, 679])).
% 3.85/2.90 tff(685,plain,
% 3.85/2.90 (double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(multiply(b3, c3), double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity))), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), identity))),
% 3.85/2.90 inference(symmetry,[status(thm)],[684])).
% 3.85/2.90 tff(686,plain,
% 3.85/2.90 (double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity))) = double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.85/2.90 inference(monotonicity,[status(thm)],[608])).
% 3.85/2.90 tff(687,plain,
% 3.85/2.90 (double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity))) = multiply(b3, c3)),
% 3.85/2.90 inference(transitivity,[status(thm)],[686, 91])).
% 3.85/2.90 tff(688,plain,
% 3.85/2.90 (double_divide(double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), identity)) = double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity), double_divide(multiply(b3, c3), double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)))),
% 3.85/2.90 inference(monotonicity,[status(thm)],[687, 679])).
% 3.85/2.90 tff(689,plain,
% 3.85/2.90 (double_divide(double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity))), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), identity))),
% 3.85/2.91 inference(transitivity,[status(thm)],[688, 685])).
% 3.85/2.91 tff(690,plain,
% 3.85/2.91 (double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), identity))) = double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity))), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), identity)))),
% 3.85/2.91 inference(monotonicity,[status(thm)],[689])).
% 3.85/2.91 tff(691,plain,
% 3.85/2.91 (double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity))), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), identity))) = double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), identity)))),
% 3.85/2.91 inference(symmetry,[status(thm)],[690])).
% 3.85/2.91 tff(692,plain,
% 3.85/2.91 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity))), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), identity))), double_divide(identity, identity))),
% 3.85/2.92 inference(monotonicity,[status(thm)],[691])).
% 3.85/2.92 tff(693,plain,
% 3.85/2.92 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity))), double_divide(double_divide(double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)), identity), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), identity))), double_divide(identity, identity))),
% 3.85/2.92 inference(symmetry,[status(thm)],[692])).
% 3.85/2.92 tff(694,plain,
% 3.85/2.92 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), identity))), double_divide(identity, identity)) = double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))),
% 3.85/2.92 inference(quant_inst,[status(thm)],[])).
% 3.85/2.92 tff(695,plain,
% 3.85/2.92 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), identity))), double_divide(identity, identity)) = double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.88/2.92 inference(unit_resolution,[status(thm)],[694, 17])).
% 3.88/2.92 tff(696,plain,
% 3.88/2.92 (double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(double_divide(double_divide(a3, identity), double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(a3, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity))), double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), identity), identity))), double_divide(identity, identity))),
% 3.88/2.92 inference(symmetry,[status(thm)],[695])).
% 3.88/2.92 tff(697,plain,
% 3.88/2.93 (double_divide(multiply(b3, c3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))) = double_divide(double_divide(a3, double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))),
% 3.88/2.93 inference(transitivity,[status(thm)],[257, 179, 182, 696, 693, 650, 648])).
% 3.88/2.93 tff(698,plain,
% 3.88/2.93 (double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(multiply(b3, c3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(double_divide(a3, double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)))),
% 3.88/2.93 inference(monotonicity,[status(thm)],[697])).
% 3.88/2.93 tff(699,plain,
% 3.88/2.93 (double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(multiply(b3, c3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(double_divide(a3, double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(identity, identity))),
% 3.88/2.93 inference(monotonicity,[status(thm)],[698, 43])).
% 3.88/2.93 tff(700,plain,
% 3.88/2.93 (double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(multiply(b3, c3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = a3),
% 3.88/2.93 inference(transitivity,[status(thm)],[699, 66])).
% 3.88/2.93 tff(701,plain,
% 3.88/2.93 (double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(multiply(b3, c3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(multiply(b3, c3), a3)),
% 3.88/2.93 inference(monotonicity,[status(thm)],[700])).
% 3.88/2.93 tff(702,plain,
% 3.88/2.93 (double_divide(multiply(b3, c3), a3) = double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(multiply(b3, c3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.88/2.93 inference(symmetry,[status(thm)],[701])).
% 3.88/2.93 tff(703,plain,
% 3.88/2.93 (double_divide(double_divide(multiply(b3, c3), a3), identity) = double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(multiply(b3, c3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.88/2.93 inference(monotonicity,[status(thm)],[702, 64])).
% 3.88/2.93 tff(704,plain,
% 3.88/2.93 (double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(multiply(b3, c3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(multiply(b3, c3), a3), identity)),
% 3.88/2.93 inference(symmetry,[status(thm)],[703])).
% 3.88/2.93 tff(705,plain,
% 3.88/2.93 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(multiply(b3, c3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity))),
% 3.88/2.93 inference(quant_inst,[status(thm)],[])).
% 3.88/2.93 tff(706,plain,
% 3.88/2.93 (double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(multiply(b3, c3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity)),
% 3.88/2.93 inference(unit_resolution,[status(thm)],[705, 17])).
% 3.88/2.93 tff(707,plain,
% 3.88/2.93 (double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity) = double_divide(double_divide(multiply(b3, c3), double_divide(double_divide(double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity), double_divide(multiply(b3, c3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.88/2.93 inference(symmetry,[status(thm)],[706])).
% 3.88/2.93 tff(708,plain,
% 3.88/2.93 ((~![Y: $i, X: $i] : (multiply(X, Y) = double_divide(double_divide(Y, X), identity))) | (multiply(double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))), c3) = double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity))),
% 3.88/2.93 inference(quant_inst,[status(thm)],[])).
% 3.88/2.93 tff(709,plain,
% 3.88/2.93 (multiply(double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))), c3) = double_divide(double_divide(c3, double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), identity)),
% 3.88/2.93 inference(unit_resolution,[status(thm)],[708, 7])).
% 3.88/2.93 tff(710,plain,
% 3.88/2.93 ((~![Y: $i, X: $i] : (multiply(X, Y) = double_divide(double_divide(Y, X), identity))) | (multiply(a3, b3) = double_divide(double_divide(b3, a3), identity))),
% 3.88/2.93 inference(quant_inst,[status(thm)],[])).
% 3.88/2.93 tff(711,plain,
% 3.88/2.93 (multiply(a3, b3) = double_divide(double_divide(b3, a3), identity)),
% 3.88/2.93 inference(unit_resolution,[status(thm)],[710, 7])).
% 3.88/2.93 tff(712,plain,
% 3.88/2.93 (multiply(a3, b3) = double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))),
% 3.88/2.93 inference(transitivity,[status(thm)],[711, 545])).
% 3.88/2.93 tff(713,plain,
% 3.88/2.93 (multiply(multiply(a3, b3), c3) = multiply(double_divide(double_divide(b3, a3), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))), c3)),
% 3.88/2.93 inference(monotonicity,[status(thm)],[712])).
% 3.88/2.93 tff(714,plain,
% 3.88/2.93 (multiply(multiply(a3, b3), c3) = multiply(a3, multiply(b3, c3))),
% 3.88/2.93 inference(transitivity,[status(thm)],[713, 709, 707, 704, 10])).
% 3.88/2.93 tff(715,plain,
% 3.88/2.93 ((~![Y: $i, X: $i] : (multiply(X, Y) = double_divide(double_divide(Y, X), identity))) | (multiply(b4, a4) = double_divide(double_divide(a4, b4), identity))),
% 3.88/2.93 inference(quant_inst,[status(thm)],[])).
% 3.88/2.93 tff(716,plain,
% 3.88/2.93 (multiply(b4, a4) = double_divide(double_divide(a4, b4), identity)),
% 3.88/2.93 inference(unit_resolution,[status(thm)],[715, 7])).
% 3.88/2.93 tff(717,plain,
% 3.88/2.93 (double_divide(double_divide(a4, b4), identity) = multiply(b4, a4)),
% 3.88/2.93 inference(symmetry,[status(thm)],[716])).
% 3.88/2.93 tff(718,plain,
% 3.88/2.93 ((~![X: $i] : (identity = double_divide(X, inverse(X)))) | (identity = double_divide(double_divide(a4, b4), inverse(double_divide(a4, b4))))),
% 3.88/2.93 inference(quant_inst,[status(thm)],[])).
% 3.88/2.93 tff(719,plain,
% 3.88/2.93 (identity = double_divide(double_divide(a4, b4), inverse(double_divide(a4, b4)))),
% 3.88/2.93 inference(unit_resolution,[status(thm)],[718, 26])).
% 3.88/2.93 tff(720,plain,
% 3.88/2.93 (double_divide(double_divide(a4, b4), inverse(double_divide(a4, b4))) = identity),
% 3.88/2.93 inference(symmetry,[status(thm)],[719])).
% 3.88/2.93 tff(721,plain,
% 3.88/2.93 ((~![X: $i] : (inverse(X) = double_divide(X, identity))) | (inverse(double_divide(a4, b4)) = double_divide(double_divide(a4, b4), identity))),
% 3.88/2.93 inference(quant_inst,[status(thm)],[])).
% 3.88/2.93 tff(722,plain,
% 3.88/2.93 (inverse(double_divide(a4, b4)) = double_divide(double_divide(a4, b4), identity)),
% 3.88/2.93 inference(unit_resolution,[status(thm)],[721, 36])).
% 3.88/2.93 tff(723,plain,
% 3.88/2.93 (double_divide(double_divide(a4, b4), identity) = inverse(double_divide(a4, b4))),
% 3.88/2.93 inference(symmetry,[status(thm)],[722])).
% 3.88/2.93 tff(724,plain,
% 3.88/2.93 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(double_divide(a4, b4), identity), identity))), double_divide(identity, identity)) = double_divide(a4, b4))),
% 3.88/2.93 inference(quant_inst,[status(thm)],[])).
% 3.88/2.93 tff(725,plain,
% 3.88/2.93 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(double_divide(a4, b4), identity), identity))), double_divide(identity, identity)) = double_divide(a4, b4)),
% 3.88/2.93 inference(unit_resolution,[status(thm)],[724, 17])).
% 3.88/2.93 tff(726,plain,
% 3.88/2.93 ((~![X: $i] : (identity = double_divide(X, inverse(X)))) | (identity = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(double_divide(a4, b4), identity), identity))), inverse(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(double_divide(a4, b4), identity), identity))))))),
% 3.88/2.93 inference(quant_inst,[status(thm)],[])).
% 3.88/2.93 tff(727,plain,
% 3.88/2.93 (identity = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(double_divide(a4, b4), identity), identity))), inverse(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(double_divide(a4, b4), identity), identity)))))),
% 3.88/2.93 inference(unit_resolution,[status(thm)],[726, 26])).
% 3.88/2.93 tff(728,plain,
% 3.88/2.93 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(double_divide(a4, b4), identity), identity))), inverse(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(double_divide(a4, b4), identity), identity))))) = identity),
% 3.88/2.93 inference(symmetry,[status(thm)],[727])).
% 3.88/2.93 tff(729,plain,
% 3.88/2.93 ((~![X: $i] : (inverse(X) = double_divide(X, identity))) | (inverse(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(double_divide(a4, b4), identity), identity)))) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(double_divide(a4, b4), identity), identity))), identity))),
% 3.88/2.93 inference(quant_inst,[status(thm)],[])).
% 3.88/2.93 tff(730,plain,
% 3.88/2.93 (inverse(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(double_divide(a4, b4), identity), identity)))) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(double_divide(a4, b4), identity), identity))), identity)),
% 3.88/2.93 inference(unit_resolution,[status(thm)],[729, 36])).
% 3.88/2.93 tff(731,plain,
% 3.88/2.93 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(double_divide(a4, b4), identity), identity))), identity) = inverse(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(double_divide(a4, b4), identity), identity))))),
% 3.88/2.93 inference(symmetry,[status(thm)],[730])).
% 3.88/2.93 tff(732,plain,
% 3.88/2.93 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(double_divide(a4, b4), identity), identity))), identity) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(double_divide(a4, b4), identity), identity))), double_divide(identity, identity))),
% 3.88/2.93 inference(monotonicity,[status(thm)],[64])).
% 3.88/2.93 tff(733,plain,
% 3.88/2.93 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(double_divide(a4, b4), identity), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(double_divide(a4, b4), identity), identity))), identity)),
% 3.88/2.93 inference(symmetry,[status(thm)],[732])).
% 3.88/2.93 tff(734,plain,
% 3.88/2.93 (double_divide(a4, b4) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(double_divide(a4, b4), identity), identity))), double_divide(identity, identity))),
% 3.88/2.93 inference(symmetry,[status(thm)],[725])).
% 3.88/2.93 tff(735,plain,
% 3.88/2.93 (double_divide(a4, b4) = inverse(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(double_divide(a4, b4), identity), identity))))),
% 3.88/2.93 inference(transitivity,[status(thm)],[734, 733, 731])).
% 3.88/2.93 tff(736,plain,
% 3.88/2.93 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(double_divide(a4, b4), identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(double_divide(a4, b4), identity), identity))))),
% 3.88/2.93 inference(quant_inst,[status(thm)],[])).
% 3.88/2.93 tff(737,plain,
% 3.88/2.93 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(double_divide(a4, b4), identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(double_divide(a4, b4), identity), identity)))),
% 3.88/2.93 inference(unit_resolution,[status(thm)],[736, 17])).
% 3.88/2.93 tff(738,plain,
% 3.88/2.93 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(double_divide(a4, b4), identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(double_divide(a4, b4), identity), identity))), double_divide(identity, identity))),
% 3.88/2.93 inference(monotonicity,[status(thm)],[45])).
% 3.88/2.93 tff(739,plain,
% 3.88/2.93 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(double_divide(a4, b4), identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(a4, b4)),
% 3.88/2.93 inference(transitivity,[status(thm)],[738, 725])).
% 3.88/2.93 tff(740,plain,
% 3.88/2.93 (double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(double_divide(a4, b4), identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(double_divide(a4, b4), identity)),
% 3.88/2.93 inference(monotonicity,[status(thm)],[739, 68])).
% 3.88/2.93 tff(741,plain,
% 3.88/2.93 (double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(double_divide(a4, b4), identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity))),
% 3.88/2.93 inference(monotonicity,[status(thm)],[740])).
% 3.88/2.93 tff(742,plain,
% 3.88/2.93 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(double_divide(a4, b4), identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity)),
% 3.88/2.94 inference(monotonicity,[status(thm)],[741, 69])).
% 3.88/2.94 tff(743,plain,
% 3.88/2.94 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(double_divide(a4, b4), identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.88/2.94 inference(symmetry,[status(thm)],[742])).
% 3.88/2.94 tff(744,plain,
% 3.88/2.94 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity) = double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(double_divide(a4, b4), identity), identity)))),
% 3.88/2.94 inference(transitivity,[status(thm)],[743, 737])).
% 3.88/2.94 tff(745,plain,
% 3.88/2.94 (double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(a4, b4)) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(double_divide(a4, b4), identity), identity))), inverse(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(double_divide(a4, b4), identity), identity)))))),
% 3.88/2.94 inference(monotonicity,[status(thm)],[744, 735])).
% 3.88/2.94 tff(746,plain,
% 3.88/2.94 (double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(a4, b4)) = double_divide(identity, identity)),
% 3.88/2.94 inference(transitivity,[status(thm)],[745, 728, 41, 63, 62, 19])).
% 3.88/2.94 tff(747,plain,
% 3.88/2.94 (double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(a4, b4))) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(double_divide(a4, b4), identity), identity))), double_divide(identity, identity))),
% 3.88/2.94 inference(monotonicity,[status(thm)],[744, 746])).
% 3.88/2.94 tff(748,plain,
% 3.88/2.94 (double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(a4, b4))) = double_divide(a4, b4)),
% 3.88/2.94 inference(transitivity,[status(thm)],[747, 725])).
% 3.88/2.94 tff(749,plain,
% 3.88/2.94 (double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(a4, b4))), double_divide(double_divide(a4, b4), identity)) = double_divide(double_divide(a4, b4), inverse(double_divide(a4, b4)))),
% 3.88/2.94 inference(monotonicity,[status(thm)],[748, 723])).
% 3.88/2.94 tff(750,plain,
% 3.88/2.94 (double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(a4, b4))), double_divide(double_divide(a4, b4), identity)) = double_divide(identity, identity)),
% 3.88/2.94 inference(transitivity,[status(thm)],[749, 720, 41, 63, 62, 19])).
% 3.88/2.94 tff(751,plain,
% 3.88/2.94 (double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(a4, b4))), double_divide(double_divide(a4, b4), identity))) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(double_divide(a4, b4), identity), identity))), double_divide(identity, identity))),
% 3.88/2.94 inference(monotonicity,[status(thm)],[744, 750])).
% 3.88/2.94 tff(752,plain,
% 3.88/2.94 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(double_divide(a4, b4), identity), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(a4, b4))), double_divide(double_divide(a4, b4), identity)))),
% 3.88/2.94 inference(symmetry,[status(thm)],[751])).
% 3.88/2.94 tff(753,plain,
% 3.88/2.94 (double_divide(a4, b4) = double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(a4, b4))), double_divide(double_divide(a4, b4), identity)))),
% 3.88/2.94 inference(transitivity,[status(thm)],[734, 752])).
% 3.88/2.94 tff(754,plain,
% 3.88/2.94 (double_divide(double_divide(a4, b4), identity) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(a4, b4))), double_divide(double_divide(a4, b4), identity))), double_divide(identity, identity))),
% 3.88/2.94 inference(monotonicity,[status(thm)],[753, 64])).
% 3.88/2.94 tff(755,plain,
% 3.88/2.94 (double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(a4, b4))), double_divide(double_divide(a4, b4), identity))), double_divide(identity, identity)) = double_divide(double_divide(a4, b4), identity)),
% 3.88/2.94 inference(symmetry,[status(thm)],[754])).
% 3.88/2.94 tff(756,plain,
% 3.88/2.94 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(a4, b4))), double_divide(double_divide(a4, b4), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity))),
% 3.88/2.94 inference(quant_inst,[status(thm)],[])).
% 3.88/2.94 tff(757,plain,
% 3.88/2.94 (double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(a4, b4))), double_divide(double_divide(a4, b4), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity)),
% 3.88/2.94 inference(unit_resolution,[status(thm)],[756, 17])).
% 3.88/2.94 tff(758,plain,
% 3.88/2.94 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(a4, b4))), double_divide(double_divide(a4, b4), identity))), double_divide(identity, identity))),
% 3.88/2.94 inference(symmetry,[status(thm)],[757])).
% 3.88/2.94 tff(759,plain,
% 3.88/2.94 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(b4, a4)), double_divide(a4, identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity))),
% 3.88/2.94 inference(quant_inst,[status(thm)],[])).
% 3.88/2.94 tff(760,plain,
% 3.88/2.94 (double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(b4, a4)), double_divide(a4, identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity)),
% 3.88/2.94 inference(unit_resolution,[status(thm)],[759, 17])).
% 3.88/2.94 tff(761,plain,
% 3.88/2.94 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = a4)),
% 3.88/2.94 inference(quant_inst,[status(thm)],[])).
% 3.88/2.94 tff(762,plain,
% 3.88/2.94 (double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = a4),
% 3.88/2.94 inference(unit_resolution,[status(thm)],[761, 17])).
% 3.88/2.94 tff(763,plain,
% 3.88/2.94 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))),
% 3.88/2.94 inference(quant_inst,[status(thm)],[])).
% 3.88/2.94 tff(764,plain,
% 3.88/2.94 (double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.88/2.94 inference(unit_resolution,[status(thm)],[763, 17])).
% 3.88/2.94 tff(765,plain,
% 3.88/2.94 ((~![X: $i] : (identity = double_divide(X, inverse(X)))) | (identity = double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), inverse(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))))),
% 3.88/2.94 inference(quant_inst,[status(thm)],[])).
% 3.88/2.94 tff(766,plain,
% 3.88/2.94 (identity = double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), inverse(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))))),
% 3.88/2.94 inference(unit_resolution,[status(thm)],[765, 26])).
% 3.88/2.94 tff(767,plain,
% 3.88/2.94 (double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), inverse(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))) = identity),
% 3.88/2.94 inference(symmetry,[status(thm)],[766])).
% 3.88/2.94 tff(768,plain,
% 3.88/2.94 ((~![X: $i] : (inverse(X) = double_divide(X, identity))) | (inverse(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))) = double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))),
% 3.88/2.94 inference(quant_inst,[status(thm)],[])).
% 3.88/2.94 tff(769,plain,
% 3.88/2.94 (inverse(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))) = double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)),
% 3.88/2.94 inference(unit_resolution,[status(thm)],[768, 36])).
% 3.88/2.94 tff(770,plain,
% 3.88/2.94 (double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity) = inverse(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))),
% 3.88/2.94 inference(symmetry,[status(thm)],[769])).
% 3.88/2.94 tff(771,plain,
% 3.88/2.94 (double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity) = double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.88/2.94 inference(monotonicity,[status(thm)],[64])).
% 3.88/2.94 tff(772,plain,
% 3.88/2.94 (double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)),
% 3.88/2.94 inference(symmetry,[status(thm)],[771])).
% 3.88/2.94 tff(773,plain,
% 3.88/2.94 (double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))) = double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.88/2.94 inference(monotonicity,[status(thm)],[71])).
% 3.88/2.94 tff(774,plain,
% 3.88/2.94 (double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))) = inverse(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))),
% 3.88/2.94 inference(transitivity,[status(thm)],[773, 772, 770])).
% 3.88/2.94 tff(775,plain,
% 3.88/2.94 (double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), inverse(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))))),
% 3.88/2.94 inference(monotonicity,[status(thm)],[774])).
% 3.88/2.94 tff(776,plain,
% 3.88/2.94 (double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = identity),
% 3.88/2.95 inference(transitivity,[status(thm)],[775, 767])).
% 3.88/2.95 tff(777,plain,
% 3.88/2.95 (double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(identity, identity)),
% 3.88/2.95 inference(monotonicity,[status(thm)],[776, 68])).
% 3.88/2.95 tff(778,plain,
% 3.88/2.95 (double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.88/2.95 inference(monotonicity,[status(thm)],[777])).
% 3.88/2.95 tff(779,plain,
% 3.88/2.95 (double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.88/2.95 inference(symmetry,[status(thm)],[778])).
% 3.88/2.95 tff(780,plain,
% 3.88/2.95 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(b4, double_divide(double_divide(b4, double_divide(b4, double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = b4)),
% 3.88/2.95 inference(quant_inst,[status(thm)],[])).
% 3.88/2.95 tff(781,plain,
% 3.88/2.95 (double_divide(double_divide(b4, double_divide(double_divide(b4, double_divide(b4, double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = b4),
% 3.88/2.95 inference(unit_resolution,[status(thm)],[780, 17])).
% 3.88/2.95 tff(782,plain,
% 3.88/2.95 ((~![X: $i] : (identity = double_divide(X, inverse(X)))) | (identity = double_divide(b4, inverse(b4)))),
% 3.88/2.95 inference(quant_inst,[status(thm)],[])).
% 3.88/2.95 tff(783,plain,
% 3.88/2.95 (identity = double_divide(b4, inverse(b4))),
% 3.88/2.95 inference(unit_resolution,[status(thm)],[782, 26])).
% 3.88/2.95 tff(784,plain,
% 3.88/2.95 (double_divide(b4, inverse(b4)) = identity),
% 3.88/2.95 inference(symmetry,[status(thm)],[783])).
% 3.88/2.95 tff(785,plain,
% 3.88/2.95 ((~![X: $i] : (inverse(X) = double_divide(X, identity))) | (inverse(b4) = double_divide(b4, identity))),
% 3.88/2.95 inference(quant_inst,[status(thm)],[])).
% 3.88/2.95 tff(786,plain,
% 3.88/2.95 (inverse(b4) = double_divide(b4, identity)),
% 3.88/2.95 inference(unit_resolution,[status(thm)],[785, 36])).
% 3.88/2.95 tff(787,plain,
% 3.88/2.95 (double_divide(b4, identity) = inverse(b4)),
% 3.88/2.95 inference(symmetry,[status(thm)],[786])).
% 3.88/2.95 tff(788,plain,
% 3.88/2.95 (double_divide(b4, double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))) = double_divide(b4, identity)),
% 3.88/2.95 inference(monotonicity,[status(thm)],[42])).
% 3.88/2.95 tff(789,plain,
% 3.88/2.95 (double_divide(b4, double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))) = inverse(b4)),
% 3.88/2.95 inference(transitivity,[status(thm)],[788, 787])).
% 3.88/2.95 tff(790,plain,
% 3.88/2.95 (double_divide(b4, double_divide(b4, double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(b4, inverse(b4))),
% 3.88/2.95 inference(monotonicity,[status(thm)],[789])).
% 3.88/2.95 tff(791,plain,
% 3.88/2.95 (double_divide(b4, double_divide(b4, double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = identity),
% 3.88/2.95 inference(transitivity,[status(thm)],[790, 784])).
% 3.88/2.95 tff(792,plain,
% 3.88/2.95 (double_divide(double_divide(b4, double_divide(b4, double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(identity, identity)),
% 3.88/2.95 inference(monotonicity,[status(thm)],[791, 68])).
% 3.88/2.95 tff(793,plain,
% 3.88/2.95 (double_divide(double_divide(b4, double_divide(b4, double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = identity),
% 3.88/2.95 inference(transitivity,[status(thm)],[792, 67, 61, 54, 42])).
% 3.88/2.95 tff(794,plain,
% 3.88/2.95 (double_divide(b4, double_divide(double_divide(b4, double_divide(b4, double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(b4, identity)),
% 3.88/2.95 inference(monotonicity,[status(thm)],[793])).
% 3.88/2.95 tff(795,plain,
% 3.88/2.95 (double_divide(b4, identity) = double_divide(b4, double_divide(double_divide(b4, double_divide(b4, double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.88/2.95 inference(symmetry,[status(thm)],[794])).
% 3.88/2.95 tff(796,plain,
% 3.88/2.95 (double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))) = double_divide(double_divide(b4, double_divide(double_divide(b4, double_divide(b4, double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.88/2.95 inference(monotonicity,[status(thm)],[795, 71])).
% 3.88/2.95 tff(797,plain,
% 3.88/2.95 (double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))) = b4),
% 3.88/2.95 inference(transitivity,[status(thm)],[796, 781])).
% 3.88/2.95 tff(798,plain,
% 3.88/2.95 (double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(a4, b4)),
% 3.88/2.95 inference(monotonicity,[status(thm)],[797])).
% 3.88/2.95 tff(799,plain,
% 3.88/2.95 (double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(double_divide(a4, b4), identity)),
% 3.88/2.95 inference(monotonicity,[status(thm)],[798, 68])).
% 3.88/2.95 tff(800,plain,
% 3.88/2.95 (double_divide(double_divide(a4, b4), identity) = double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.88/2.95 inference(symmetry,[status(thm)],[799])).
% 3.88/2.95 tff(801,plain,
% 3.88/2.95 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity))),
% 3.88/2.95 inference(quant_inst,[status(thm)],[])).
% 3.88/2.95 tff(802,plain,
% 3.88/2.95 (double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity)),
% 3.88/2.95 inference(unit_resolution,[status(thm)],[801, 17])).
% 3.88/2.95 tff(803,plain,
% 3.88/2.95 (double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(a4, b4)) = identity),
% 3.88/2.95 inference(transitivity,[status(thm)],[745, 728])).
% 3.88/2.95 tff(804,plain,
% 3.88/2.95 (double_divide(b4, double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(a4, b4))) = double_divide(b4, identity)),
% 3.88/2.95 inference(monotonicity,[status(thm)],[803])).
% 3.88/2.95 tff(805,plain,
% 3.88/2.95 (double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(a4, b4))), double_divide(double_divide(a4, b4), identity)) = double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.88/2.95 inference(monotonicity,[status(thm)],[804, 800])).
% 3.88/2.95 tff(806,plain,
% 3.88/2.95 (double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(a4, b4))), double_divide(double_divide(a4, b4), identity))),
% 3.88/2.95 inference(symmetry,[status(thm)],[805])).
% 3.88/2.95 tff(807,plain,
% 3.88/2.95 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(identity, identity)) = double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))),
% 3.88/2.95 inference(quant_inst,[status(thm)],[])).
% 3.88/2.95 tff(808,plain,
% 3.88/2.95 (double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(identity, identity)) = double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.88/2.95 inference(unit_resolution,[status(thm)],[807, 17])).
% 3.88/2.95 tff(809,plain,
% 3.88/2.95 (double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))) = double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(identity, identity))),
% 3.88/2.95 inference(monotonicity,[status(thm)],[71])).
% 3.88/2.95 tff(810,plain,
% 3.88/2.95 (double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))) = double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(a4, b4))), double_divide(double_divide(a4, b4), identity))),
% 3.88/2.95 inference(transitivity,[status(thm)],[809, 808, 806])).
% 3.88/2.95 tff(811,plain,
% 3.88/2.95 (double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(a4, b4))), double_divide(double_divide(a4, b4), identity)))),
% 3.88/2.95 inference(monotonicity,[status(thm)],[810])).
% 3.88/2.95 tff(812,plain,
% 3.88/2.95 (double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(a4, b4))), double_divide(double_divide(a4, b4), identity))), double_divide(identity, identity))),
% 3.88/2.95 inference(monotonicity,[status(thm)],[811, 43])).
% 3.88/2.95 tff(813,plain,
% 3.88/2.95 (double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(a4, b4))), double_divide(double_divide(a4, b4), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.88/2.95 inference(symmetry,[status(thm)],[812])).
% 3.88/2.95 tff(814,plain,
% 3.88/2.95 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(a4, b4))), double_divide(double_divide(a4, b4), identity))), double_divide(identity, identity)) = b4)),
% 3.88/2.95 inference(quant_inst,[status(thm)],[])).
% 3.88/2.95 tff(815,plain,
% 3.88/2.95 (double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(a4, b4))), double_divide(double_divide(a4, b4), identity))), double_divide(identity, identity)) = b4),
% 3.88/2.95 inference(unit_resolution,[status(thm)],[814, 17])).
% 3.88/2.95 tff(816,plain,
% 3.88/2.95 (b4 = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(a4, b4))), double_divide(double_divide(a4, b4), identity))), double_divide(identity, identity))),
% 3.88/2.95 inference(symmetry,[status(thm)],[815])).
% 3.88/2.95 tff(817,plain,
% 3.88/2.95 (double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.88/2.95 inference(transitivity,[status(thm)],[796, 781, 816, 813])).
% 3.88/2.95 tff(818,plain,
% 3.88/2.95 (double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.88/2.96 inference(monotonicity,[status(thm)],[817])).
% 3.88/2.96 tff(819,plain,
% 3.88/2.96 (double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.88/2.96 inference(monotonicity,[status(thm)],[818, 43])).
% 3.88/2.96 tff(820,plain,
% 3.88/2.96 (double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.88/2.96 inference(transitivity,[status(thm)],[819, 802, 758, 755, 800])).
% 3.88/2.96 tff(821,plain,
% 3.88/2.96 (double_divide(double_divide(b4, identity), double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.88/2.96 inference(monotonicity,[status(thm)],[820])).
% 3.88/2.96 tff(822,plain,
% 3.88/2.96 (double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.88/2.96 inference(monotonicity,[status(thm)],[821])).
% 3.88/2.96 tff(823,plain,
% 3.88/2.96 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))))),
% 3.88/2.96 inference(quant_inst,[status(thm)],[])).
% 3.88/2.96 tff(824,plain,
% 3.88/2.96 (double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity)))),
% 3.88/2.96 inference(unit_resolution,[status(thm)],[823, 17])).
% 3.88/2.96 tff(825,plain,
% 3.88/2.96 (double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))) = double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.88/2.96 inference(symmetry,[status(thm)],[824])).
% 3.88/2.96 tff(826,plain,
% 3.88/2.96 (double_divide(double_divide(b4, identity), identity) = double_divide(double_divide(b4, double_divide(double_divide(b4, double_divide(b4, double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.88/2.96 inference(monotonicity,[status(thm)],[795, 64])).
% 3.88/2.96 tff(827,plain,
% 3.88/2.96 (double_divide(double_divide(b4, identity), identity) = b4),
% 3.88/2.96 inference(transitivity,[status(thm)],[826, 781])).
% 3.88/2.96 tff(828,plain,
% 3.88/2.96 (double_divide(b4, double_divide(b4, identity)) = double_divide(b4, inverse(b4))),
% 3.88/2.96 inference(monotonicity,[status(thm)],[787])).
% 3.88/2.96 tff(829,plain,
% 3.88/2.96 (double_divide(b4, double_divide(b4, identity)) = double_divide(identity, identity)),
% 3.88/2.96 inference(transitivity,[status(thm)],[828, 784, 41, 63, 62, 19])).
% 3.88/2.96 tff(830,plain,
% 3.88/2.96 (double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))) = double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.88/2.96 inference(monotonicity,[status(thm)],[829])).
% 3.88/2.96 tff(831,plain,
% 3.88/2.96 (double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))) = a4),
% 3.88/2.96 inference(transitivity,[status(thm)],[830, 762])).
% 3.88/2.96 tff(832,plain,
% 3.88/2.96 (double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity)) = double_divide(a4, b4)),
% 3.88/2.96 inference(monotonicity,[status(thm)],[831, 827])).
% 3.88/2.96 tff(833,plain,
% 3.88/2.96 (double_divide(a4, b4) = double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))),
% 3.88/2.96 inference(symmetry,[status(thm)],[832])).
% 3.88/2.96 tff(834,plain,
% 3.88/2.96 (double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)) = double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(double_divide(a4, b4), identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.88/2.96 inference(symmetry,[status(thm)],[741])).
% 3.88/2.96 tff(835,plain,
% 3.88/2.96 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(a4, b4))),
% 3.88/2.96 inference(quant_inst,[status(thm)],[])).
% 3.88/2.96 tff(836,plain,
% 3.88/2.96 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(a4, b4)),
% 3.88/2.96 inference(unit_resolution,[status(thm)],[835, 17])).
% 3.88/2.96 tff(837,plain,
% 3.88/2.96 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.88/2.96 inference(monotonicity,[status(thm)],[45])).
% 3.88/2.96 tff(838,plain,
% 3.88/2.96 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(a4, b4)),
% 3.88/2.96 inference(transitivity,[status(thm)],[837, 836])).
% 3.88/2.96 tff(839,plain,
% 3.88/2.96 (double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(double_divide(a4, b4), identity)),
% 3.88/2.96 inference(monotonicity,[status(thm)],[838, 68])).
% 3.88/2.96 tff(840,plain,
% 3.88/2.96 (double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity))),
% 3.88/2.96 inference(monotonicity,[status(thm)],[839])).
% 3.88/2.96 tff(841,plain,
% 3.88/2.96 (double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(double_divide(a4, b4), identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.88/2.96 inference(transitivity,[status(thm)],[840, 834])).
% 3.88/2.96 tff(842,plain,
% 3.88/2.96 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(double_divide(a4, b4), identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.88/2.96 inference(monotonicity,[status(thm)],[841])).
% 3.88/2.96 tff(843,plain,
% 3.88/2.96 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))),
% 3.88/2.96 inference(quant_inst,[status(thm)],[])).
% 3.88/2.96 tff(844,plain,
% 3.88/2.96 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.88/2.96 inference(unit_resolution,[status(thm)],[843, 17])).
% 3.88/2.96 tff(845,plain,
% 3.88/2.96 (double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.88/2.96 inference(symmetry,[status(thm)],[844])).
% 3.88/2.96 tff(846,plain,
% 3.88/2.96 (double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(a4, b4), identity)),
% 3.88/2.96 inference(monotonicity,[status(thm)],[206])).
% 3.88/2.96 tff(847,plain,
% 3.88/2.96 (double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(double_divide(double_divide(a4, b4), identity), identity)),
% 3.88/2.97 inference(monotonicity,[status(thm)],[846, 68])).
% 3.88/2.97 tff(848,plain,
% 3.88/2.97 (double_divide(double_divide(double_divide(a4, b4), identity), identity) = double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.88/2.97 inference(symmetry,[status(thm)],[847])).
% 3.88/2.97 tff(849,plain,
% 3.88/2.97 (double_divide(double_divide(a4, b4), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))) = double_divide(double_divide(a4, b4), identity)),
% 3.88/2.97 inference(monotonicity,[status(thm)],[42])).
% 3.88/2.97 tff(850,plain,
% 3.88/2.97 (double_divide(double_divide(a4, b4), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))) = inverse(double_divide(a4, b4))),
% 3.88/2.97 inference(transitivity,[status(thm)],[849, 723])).
% 3.88/2.97 tff(851,plain,
% 3.88/2.97 (double_divide(double_divide(a4, b4), double_divide(double_divide(a4, b4), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(a4, b4), inverse(double_divide(a4, b4)))),
% 3.88/2.97 inference(monotonicity,[status(thm)],[850])).
% 3.88/2.97 tff(852,plain,
% 3.88/2.97 (double_divide(double_divide(a4, b4), double_divide(double_divide(a4, b4), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = identity),
% 3.88/2.97 inference(transitivity,[status(thm)],[851, 720])).
% 3.88/2.97 tff(853,plain,
% 3.88/2.97 (double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(a4, b4), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(identity, identity)),
% 3.88/2.97 inference(monotonicity,[status(thm)],[852, 68])).
% 3.88/2.97 tff(854,plain,
% 3.88/2.97 (double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(a4, b4), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = identity),
% 3.88/2.97 inference(transitivity,[status(thm)],[853, 67, 61, 54, 42])).
% 3.88/2.97 tff(855,plain,
% 3.88/2.97 (double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(a4, b4), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(a4, b4), identity)),
% 3.88/2.97 inference(monotonicity,[status(thm)],[854])).
% 3.88/2.97 tff(856,plain,
% 3.88/2.97 (double_divide(double_divide(a4, b4), identity) = double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(a4, b4), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.88/2.97 inference(symmetry,[status(thm)],[855])).
% 3.88/2.97 tff(857,plain,
% 3.88/2.97 (double_divide(double_divide(double_divide(a4, b4), identity), identity) = double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(a4, b4), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.88/2.97 inference(monotonicity,[status(thm)],[856, 64])).
% 3.88/2.97 tff(858,plain,
% 3.88/2.97 (double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(a4, b4), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(a4, b4), identity), identity)),
% 3.88/2.97 inference(symmetry,[status(thm)],[857])).
% 3.88/2.97 tff(859,plain,
% 3.88/2.97 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(a4, b4), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(a4, b4))),
% 3.88/2.97 inference(quant_inst,[status(thm)],[])).
% 3.88/2.97 tff(860,plain,
% 3.88/2.97 (double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(a4, b4), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(a4, b4)),
% 3.88/2.97 inference(unit_resolution,[status(thm)],[859, 17])).
% 3.88/2.97 tff(861,plain,
% 3.88/2.97 (double_divide(a4, b4) = double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(a4, b4), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.88/2.97 inference(symmetry,[status(thm)],[860])).
% 3.88/2.97 tff(862,plain,
% 3.88/2.97 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(double_divide(a4, b4), identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.88/2.97 inference(monotonicity,[status(thm)],[834, 45])).
% 3.88/2.97 tff(863,plain,
% 3.88/2.97 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(double_divide(a4, b4), identity), identity)))),
% 3.88/2.97 inference(transitivity,[status(thm)],[862, 737])).
% 3.88/2.97 tff(864,plain,
% 3.88/2.97 (double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(double_divide(a4, b4), identity), identity))), double_divide(identity, identity))),
% 3.88/2.97 inference(monotonicity,[status(thm)],[863, 43])).
% 3.88/2.97 tff(865,plain,
% 3.88/2.97 (double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.88/2.97 inference(transitivity,[status(thm)],[864, 725, 861, 858, 848])).
% 3.88/2.97 tff(866,plain,
% 3.88/2.97 (double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.88/2.97 inference(monotonicity,[status(thm)],[865])).
% 3.88/2.97 tff(867,plain,
% 3.88/2.97 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(double_divide(a4, b4), identity), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.88/2.97 inference(symmetry,[status(thm)],[864])).
% 3.88/2.97 tff(868,plain,
% 3.88/2.97 (double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.88/2.97 inference(monotonicity,[status(thm)],[45])).
% 3.88/2.97 tff(869,plain,
% 3.88/2.97 (double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(double_divide(a4, b4), identity), identity)))),
% 3.88/2.97 inference(transitivity,[status(thm)],[868, 802, 743, 737])).
% 3.88/2.97 tff(870,plain,
% 3.88/2.97 (double_divide(double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(double_divide(a4, b4), identity), identity))), double_divide(identity, identity))),
% 3.88/2.97 inference(monotonicity,[status(thm)],[869, 43])).
% 3.88/2.97 tff(871,plain,
% 3.88/2.97 (double_divide(double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.88/2.97 inference(transitivity,[status(thm)],[870, 867])).
% 3.88/2.97 tff(872,plain,
% 3.88/2.97 (double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.88/2.97 inference(monotonicity,[status(thm)],[871])).
% 3.88/2.97 tff(873,plain,
% 3.88/2.97 (double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(double_divide(a4, b4), identity), identity)))),
% 3.88/2.97 inference(transitivity,[status(thm)],[872, 866, 845, 842, 737])).
% 3.88/2.97 tff(874,plain,
% 3.88/2.97 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(double_divide(a4, b4), identity), identity))), double_divide(identity, identity))),
% 3.88/2.97 inference(monotonicity,[status(thm)],[873])).
% 3.88/2.97 tff(875,plain,
% 3.88/2.97 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))),
% 3.88/2.98 inference(quant_inst,[status(thm)],[])).
% 3.88/2.98 tff(876,plain,
% 3.88/2.98 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.88/2.98 inference(unit_resolution,[status(thm)],[875, 17])).
% 3.88/2.98 tff(877,plain,
% 3.88/2.98 (double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.88/2.98 inference(symmetry,[status(thm)],[876])).
% 3.88/2.98 tff(878,plain,
% 3.88/2.98 (double_divide(double_divide(b4, identity), identity) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.88/2.98 inference(transitivity,[status(thm)],[826, 781, 816, 813])).
% 3.88/2.98 tff(879,plain,
% 3.88/2.98 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))))),
% 3.88/2.98 inference(quant_inst,[status(thm)],[])).
% 3.88/2.98 tff(880,plain,
% 3.88/2.98 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity)))),
% 3.88/2.98 inference(unit_resolution,[status(thm)],[879, 17])).
% 3.88/2.98 tff(881,plain,
% 3.88/2.98 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.88/2.98 inference(monotonicity,[status(thm)],[829])).
% 3.88/2.98 tff(882,plain,
% 3.88/2.98 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))) = double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity)))),
% 3.88/2.98 inference(transitivity,[status(thm)],[881, 880])).
% 3.88/2.98 tff(883,plain,
% 3.88/2.98 (double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity)) = double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.88/2.98 inference(monotonicity,[status(thm)],[882, 878])).
% 3.88/2.98 tff(884,plain,
% 3.88/2.98 (double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity)) = double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))),
% 3.88/2.98 inference(transitivity,[status(thm)],[883, 877, 874, 725, 833])).
% 3.88/2.98 tff(885,plain,
% 3.88/2.98 (double_divide(b4, double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))) = double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity)))),
% 3.88/2.98 inference(monotonicity,[status(thm)],[884])).
% 3.88/2.98 tff(886,plain,
% 3.88/2.98 (double_divide(b4, double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))) = double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.88/2.98 inference(transitivity,[status(thm)],[885, 825, 822, 779])).
% 3.88/2.98 tff(887,plain,
% 3.88/2.98 (double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.88/2.98 inference(monotonicity,[status(thm)],[886])).
% 3.88/2.98 tff(888,plain,
% 3.88/2.98 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))),
% 3.88/2.99 inference(quant_inst,[status(thm)],[])).
% 3.88/2.99 tff(889,plain,
% 3.88/2.99 (double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.88/2.99 inference(unit_resolution,[status(thm)],[888, 17])).
% 3.88/2.99 tff(890,plain,
% 3.88/2.99 (double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(identity, identity))),
% 3.88/2.99 inference(symmetry,[status(thm)],[889])).
% 3.88/2.99 tff(891,plain,
% 3.88/2.99 (double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(identity, identity))),
% 3.88/2.99 inference(monotonicity,[status(thm)],[45])).
% 3.88/2.99 tff(892,plain,
% 3.88/2.99 (double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.88/2.99 inference(transitivity,[status(thm)],[891, 808])).
% 3.88/2.99 tff(893,plain,
% 3.88/2.99 (double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.88/2.99 inference(monotonicity,[status(thm)],[892, 43])).
% 3.88/2.99 tff(894,plain,
% 3.88/2.99 (double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.88/2.99 inference(symmetry,[status(thm)],[893])).
% 3.88/2.99 tff(895,plain,
% 3.88/2.99 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))),
% 3.88/2.99 inference(quant_inst,[status(thm)],[])).
% 3.88/2.99 tff(896,plain,
% 3.88/2.99 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.88/2.99 inference(unit_resolution,[status(thm)],[895, 17])).
% 3.88/2.99 tff(897,plain,
% 3.88/2.99 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.88/2.99 inference(monotonicity,[status(thm)],[45])).
% 3.88/2.99 tff(898,plain,
% 3.88/2.99 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.88/2.99 inference(transitivity,[status(thm)],[897, 896, 890, 887, 764])).
% 3.88/2.99 tff(899,plain,
% 3.88/2.99 (double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.88/2.99 inference(monotonicity,[status(thm)],[898, 43])).
% 3.88/2.99 tff(900,plain,
% 3.88/2.99 (double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.88/2.99 inference(transitivity,[status(thm)],[899, 894])).
% 3.88/2.99 tff(901,plain,
% 3.88/2.99 (double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.88/2.99 inference(monotonicity,[status(thm)],[900])).
% 3.88/2.99 tff(902,plain,
% 3.88/2.99 (double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.88/2.99 inference(transitivity,[status(thm)],[901, 890, 887, 764])).
% 3.88/2.99 tff(903,plain,
% 3.88/2.99 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.88/3.00 inference(monotonicity,[status(thm)],[902])).
% 3.88/3.00 tff(904,plain,
% 3.88/3.00 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))),
% 3.88/3.00 inference(quant_inst,[status(thm)],[])).
% 3.88/3.00 tff(905,plain,
% 3.88/3.00 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.88/3.00 inference(unit_resolution,[status(thm)],[904, 17])).
% 3.88/3.00 tff(906,plain,
% 3.88/3.00 (double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.88/3.00 inference(symmetry,[status(thm)],[905])).
% 3.88/3.00 tff(907,plain,
% 3.88/3.00 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.88/3.00 inference(monotonicity,[status(thm)],[45])).
% 3.88/3.00 tff(908,plain,
% 3.88/3.00 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity)))),
% 3.88/3.00 inference(transitivity,[status(thm)],[907, 880])).
% 3.88/3.00 tff(909,plain,
% 3.88/3.00 (double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(identity, identity))),
% 3.88/3.00 inference(monotonicity,[status(thm)],[908, 43])).
% 3.88/3.00 tff(910,plain,
% 3.88/3.00 (double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.88/3.00 inference(symmetry,[status(thm)],[909])).
% 3.88/3.00 tff(911,plain,
% 3.88/3.00 (double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(identity, identity))),
% 3.88/3.00 inference(symmetry,[status(thm)],[808])).
% 3.88/3.00 tff(912,plain,
% 3.88/3.00 (a4 = double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.88/3.00 inference(symmetry,[status(thm)],[762])).
% 3.88/3.00 tff(913,plain,
% 3.88/3.00 (a4 = double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.88/3.00 inference(transitivity,[status(thm)],[912, 779])).
% 3.88/3.00 tff(914,plain,
% 3.88/3.00 (double_divide(a4, identity) = double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.88/3.00 inference(monotonicity,[status(thm)],[913, 64])).
% 3.88/3.00 tff(915,plain,
% 3.88/3.00 (double_divide(a4, identity) = double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.88/3.00 inference(transitivity,[status(thm)],[914, 764, 911, 910])).
% 3.88/3.00 tff(916,plain,
% 3.88/3.00 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(b4, identity))),
% 3.88/3.00 inference(quant_inst,[status(thm)],[])).
% 3.88/3.00 tff(917,plain,
% 3.88/3.00 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(b4, identity)),
% 3.88/3.00 inference(unit_resolution,[status(thm)],[916, 17])).
% 3.88/3.00 tff(918,plain,
% 3.88/3.00 (double_divide(double_divide(b4, identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(b4, double_divide(double_divide(b4, double_divide(b4, double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.88/3.00 inference(monotonicity,[status(thm)],[795, 45])).
% 3.88/3.00 tff(919,plain,
% 3.88/3.00 (double_divide(double_divide(b4, identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = b4),
% 3.88/3.00 inference(transitivity,[status(thm)],[918, 781])).
% 3.88/3.00 tff(920,plain,
% 3.88/3.00 (double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(b4, identity)),
% 3.88/3.00 inference(monotonicity,[status(thm)],[919, 68])).
% 3.88/3.00 tff(921,plain,
% 3.88/3.00 (double_divide(b4, identity) = double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.88/3.00 inference(symmetry,[status(thm)],[920])).
% 3.88/3.00 tff(922,plain,
% 3.88/3.00 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(b4, double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = b4)),
% 3.88/3.00 inference(quant_inst,[status(thm)],[])).
% 3.88/3.00 tff(923,plain,
% 3.88/3.00 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(b4, double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = b4),
% 3.88/3.00 inference(unit_resolution,[status(thm)],[922, 17])).
% 3.88/3.00 tff(924,plain,
% 3.88/3.00 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(b4, double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(b4, double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.88/3.01 inference(monotonicity,[status(thm)],[45])).
% 3.88/3.01 tff(925,plain,
% 3.88/3.01 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(b4, double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = b4),
% 3.88/3.01 inference(transitivity,[status(thm)],[924, 923])).
% 3.88/3.01 tff(926,plain,
% 3.88/3.01 (double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(b4, double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(b4, identity)),
% 3.88/3.01 inference(monotonicity,[status(thm)],[925, 68])).
% 3.88/3.01 tff(927,plain,
% 3.88/3.01 (double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(b4, double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.88/3.01 inference(transitivity,[status(thm)],[926, 921])).
% 3.88/3.01 tff(928,plain,
% 3.88/3.01 (double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(b4, double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.88/3.01 inference(monotonicity,[status(thm)],[927])).
% 3.88/3.01 tff(929,plain,
% 3.88/3.01 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(b4, double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.88/3.01 inference(monotonicity,[status(thm)],[928])).
% 3.88/3.01 tff(930,plain,
% 3.88/3.01 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(b4, double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(b4, double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))),
% 3.88/3.01 inference(quant_inst,[status(thm)],[])).
% 3.88/3.01 tff(931,plain,
% 3.88/3.01 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(b4, double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(b4, double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.88/3.01 inference(unit_resolution,[status(thm)],[930, 17])).
% 3.88/3.01 tff(932,plain,
% 3.88/3.01 (double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(b4, double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(b4, double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.88/3.01 inference(symmetry,[status(thm)],[931])).
% 3.88/3.01 tff(933,plain,
% 3.88/3.01 (double_divide(b4, double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(b4, identity)),
% 3.88/3.01 inference(monotonicity,[status(thm)],[206])).
% 3.88/3.01 tff(934,plain,
% 3.88/3.01 (double_divide(b4, double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(b4, double_divide(double_divide(b4, double_divide(b4, double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.88/3.01 inference(transitivity,[status(thm)],[933, 795])).
% 3.88/3.01 tff(935,plain,
% 3.88/3.01 (double_divide(double_divide(b4, double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(double_divide(b4, double_divide(double_divide(b4, double_divide(b4, double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.88/3.01 inference(monotonicity,[status(thm)],[934, 43])).
% 3.88/3.01 tff(936,plain,
% 3.88/3.01 (double_divide(double_divide(b4, double_divide(double_divide(b4, double_divide(b4, double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(b4, double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.88/3.01 inference(symmetry,[status(thm)],[935])).
% 3.88/3.01 tff(937,plain,
% 3.88/3.01 (double_divide(double_divide(b4, identity), identity) = double_divide(double_divide(b4, double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.88/3.01 inference(transitivity,[status(thm)],[826, 936])).
% 3.88/3.01 tff(938,plain,
% 3.88/3.01 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))),
% 3.88/3.01 inference(quant_inst,[status(thm)],[])).
% 3.88/3.01 tff(939,plain,
% 3.88/3.01 (double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))),
% 3.88/3.01 inference(unit_resolution,[status(thm)],[938, 17])).
% 3.88/3.01 tff(940,plain,
% 3.88/3.01 (double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(b4, double_divide(b4, identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(identity, identity))),
% 3.88/3.01 inference(monotonicity,[status(thm)],[829])).
% 3.88/3.01 tff(941,plain,
% 3.88/3.01 (double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(b4, double_divide(b4, identity))) = double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))),
% 3.88/3.01 inference(transitivity,[status(thm)],[940, 939])).
% 3.88/3.01 tff(942,plain,
% 3.88/3.01 (double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity)) = double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(b4, double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.88/3.01 inference(monotonicity,[status(thm)],[941, 937])).
% 3.88/3.01 tff(943,plain,
% 3.88/3.01 (double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity)) = inverse(b4)),
% 3.88/3.01 inference(transitivity,[status(thm)],[942, 932, 929, 917, 787])).
% 3.88/3.01 tff(944,plain,
% 3.88/3.01 (double_divide(b4, double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))) = double_divide(b4, inverse(b4))),
% 3.88/3.01 inference(monotonicity,[status(thm)],[943])).
% 3.88/3.01 tff(945,plain,
% 3.88/3.01 (double_divide(b4, double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))) = identity),
% 3.88/3.01 inference(transitivity,[status(thm)],[944, 784])).
% 3.88/3.01 tff(946,plain,
% 3.88/3.01 (double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(identity, identity)) = double_divide(identity, identity)),
% 3.88/3.01 inference(monotonicity,[status(thm)],[945, 69])).
% 3.88/3.01 tff(947,plain,
% 3.88/3.01 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))))),
% 3.88/3.02 inference(quant_inst,[status(thm)],[])).
% 3.88/3.02 tff(948,plain,
% 3.88/3.02 (double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)))),
% 3.88/3.02 inference(unit_resolution,[status(thm)],[947, 17])).
% 3.88/3.02 tff(949,plain,
% 3.88/3.02 (double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))) = double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(identity, identity))),
% 3.88/3.02 inference(symmetry,[status(thm)],[948])).
% 3.88/3.02 tff(950,plain,
% 3.88/3.02 (double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity) = a4),
% 3.88/3.02 inference(transitivity,[status(thm)],[771, 762])).
% 3.88/3.02 tff(951,plain,
% 3.88/3.02 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(a4, b4))) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.88/3.02 inference(monotonicity,[status(thm)],[746])).
% 3.88/3.02 tff(952,plain,
% 3.88/3.02 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(a4, b4))) = double_divide(b4, identity)),
% 3.88/3.02 inference(transitivity,[status(thm)],[951, 917])).
% 3.88/3.02 tff(953,plain,
% 3.88/3.02 (double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(a4, b4))), double_divide(double_divide(a4, b4), identity)) = double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.88/3.02 inference(monotonicity,[status(thm)],[952, 800])).
% 3.88/3.02 tff(954,plain,
% 3.88/3.02 (double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(a4, b4))), double_divide(double_divide(a4, b4), identity)) = double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(a4, b4))), double_divide(double_divide(a4, b4), identity))),
% 3.88/3.02 inference(transitivity,[status(thm)],[953, 806])).
% 3.88/3.02 tff(955,plain,
% 3.88/3.02 (double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(a4, b4))), double_divide(double_divide(a4, b4), identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(a4, b4))), double_divide(double_divide(a4, b4), identity)))),
% 3.88/3.02 inference(monotonicity,[status(thm)],[954])).
% 3.88/3.02 tff(956,plain,
% 3.88/3.02 (double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(a4, b4))), double_divide(double_divide(a4, b4), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(a4, b4))), double_divide(double_divide(a4, b4), identity))), double_divide(identity, identity))),
% 3.88/3.02 inference(monotonicity,[status(thm)],[955])).
% 3.88/3.02 tff(957,plain,
% 3.88/3.02 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(a4, b4))), double_divide(double_divide(a4, b4), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))),
% 3.88/3.02 inference(quant_inst,[status(thm)],[])).
% 3.88/3.02 tff(958,plain,
% 3.88/3.02 (double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(a4, b4))), double_divide(double_divide(a4, b4), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.88/3.02 inference(unit_resolution,[status(thm)],[957, 17])).
% 3.88/3.02 tff(959,plain,
% 3.88/3.02 (double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(a4, b4))), double_divide(double_divide(a4, b4), identity))), double_divide(identity, identity))),
% 3.88/3.02 inference(symmetry,[status(thm)],[958])).
% 3.88/3.02 tff(960,plain,
% 3.88/3.02 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), identity))), double_divide(identity, identity)) = double_divide(b4, identity))),
% 3.88/3.02 inference(quant_inst,[status(thm)],[])).
% 3.88/3.02 tff(961,plain,
% 3.88/3.02 (double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), identity))), double_divide(identity, identity)) = double_divide(b4, identity)),
% 3.88/3.02 inference(unit_resolution,[status(thm)],[960, 17])).
% 3.88/3.02 tff(962,plain,
% 3.88/3.02 (double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), identity) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(double_divide(a4, b4), identity), identity))), double_divide(identity, identity))),
% 3.88/3.02 inference(monotonicity,[status(thm)],[744, 64])).
% 3.88/3.02 tff(963,plain,
% 3.88/3.02 (double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), identity) = double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))),
% 3.98/3.02 inference(transitivity,[status(thm)],[962, 725, 833])).
% 3.98/3.02 tff(964,plain,
% 3.98/3.02 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))),
% 3.98/3.02 inference(quant_inst,[status(thm)],[])).
% 3.98/3.02 tff(965,plain,
% 3.98/3.02 (double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))),
% 3.98/3.02 inference(unit_resolution,[status(thm)],[964, 17])).
% 3.98/3.02 tff(966,plain,
% 3.98/3.02 (double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.98/3.02 inference(monotonicity,[status(thm)],[45])).
% 3.98/3.02 tff(967,plain,
% 3.98/3.02 (double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = identity),
% 3.98/3.02 inference(transitivity,[status(thm)],[966, 965, 42])).
% 3.98/3.02 tff(968,plain,
% 3.98/3.02 (double_divide(double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(identity, identity)),
% 3.98/3.02 inference(monotonicity,[status(thm)],[967, 68])).
% 3.98/3.02 tff(969,plain,
% 3.98/3.02 (double_divide(double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = identity),
% 3.98/3.02 inference(transitivity,[status(thm)],[968, 67, 61, 54, 42])).
% 3.98/3.02 tff(970,plain,
% 3.98/3.02 (double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(identity, identity)),
% 3.98/3.02 inference(monotonicity,[status(thm)],[42, 969])).
% 3.98/3.02 tff(971,plain,
% 3.98/3.02 (double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = identity),
% 3.98/3.02 inference(transitivity,[status(thm)],[970, 67, 61, 54, 42])).
% 3.98/3.02 tff(972,plain,
% 3.98/3.02 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(identity, identity)),
% 3.98/3.02 inference(monotonicity,[status(thm)],[971, 69])).
% 3.98/3.02 tff(973,plain,
% 3.98/3.02 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))),
% 3.98/3.03 inference(quant_inst,[status(thm)],[])).
% 3.98/3.03 tff(974,plain,
% 3.98/3.03 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.98/3.03 inference(unit_resolution,[status(thm)],[973, 17])).
% 3.98/3.03 tff(975,plain,
% 3.98/3.03 (double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.98/3.03 inference(symmetry,[status(thm)],[974])).
% 3.98/3.03 tff(976,plain,
% 3.98/3.03 (double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity))),
% 3.98/3.03 inference(monotonicity,[status(thm)],[849])).
% 3.98/3.03 tff(977,plain,
% 3.98/3.03 (double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(double_divide(a4, b4), identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.98/3.03 inference(transitivity,[status(thm)],[976, 834])).
% 3.98/3.03 tff(978,plain,
% 3.98/3.03 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(double_divide(a4, b4), identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.98/3.03 inference(monotonicity,[status(thm)],[977, 43])).
% 3.98/3.03 tff(979,plain,
% 3.98/3.03 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(double_divide(a4, b4), identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.98/3.03 inference(symmetry,[status(thm)],[978])).
% 3.98/3.03 tff(980,plain,
% 3.98/3.03 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.98/3.03 inference(transitivity,[status(thm)],[743, 979])).
% 3.98/3.03 tff(981,plain,
% 3.98/3.03 (double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity)) = double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.98/3.03 inference(monotonicity,[status(thm)],[980])).
% 3.98/3.03 tff(982,plain,
% 3.98/3.03 (double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity)) = double_divide(identity, identity)),
% 3.98/3.03 inference(transitivity,[status(thm)],[981, 975, 972])).
% 3.98/3.03 tff(983,plain,
% 3.98/3.03 (double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(a4, b4))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(a4, b4))), double_divide(double_divide(a4, b4), identity))), double_divide(identity, identity))),
% 3.98/3.03 inference(monotonicity,[status(thm)],[982])).
% 3.98/3.03 tff(984,plain,
% 3.98/3.03 (double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(a4, b4))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity))) = b4),
% 3.98/3.03 inference(transitivity,[status(thm)],[983, 815])).
% 3.98/3.03 tff(985,plain,
% 3.98/3.03 (double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(a4, b4))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), identity)) = double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity)))),
% 3.98/3.03 inference(monotonicity,[status(thm)],[984, 963])).
% 3.98/3.03 tff(986,plain,
% 3.98/3.03 (double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(a4, b4))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), identity))),
% 3.98/3.03 inference(symmetry,[status(thm)],[985])).
% 3.98/3.03 tff(987,plain,
% 3.98/3.03 (double_divide(double_divide(b4, identity), double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity))) = double_divide(double_divide(b4, double_divide(double_divide(b4, double_divide(b4, double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.98/3.03 inference(monotonicity,[status(thm)],[795, 982])).
% 3.98/3.03 tff(988,plain,
% 3.98/3.03 (double_divide(double_divide(b4, identity), double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity))) = b4),
% 3.98/3.03 inference(transitivity,[status(thm)],[987, 781])).
% 3.98/3.03 tff(989,plain,
% 3.98/3.03 (double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), identity)) = double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity)))),
% 3.98/3.03 inference(monotonicity,[status(thm)],[988, 963])).
% 3.98/3.03 tff(990,plain,
% 3.98/3.03 (double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(a4, b4))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), identity))),
% 3.98/3.03 inference(transitivity,[status(thm)],[989, 986])).
% 3.98/3.03 tff(991,plain,
% 3.98/3.03 (double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), identity))) = double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(a4, b4))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), identity)))),
% 3.98/3.03 inference(monotonicity,[status(thm)],[990])).
% 3.98/3.03 tff(992,plain,
% 3.98/3.03 (double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(a4, b4))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), identity))) = double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), identity)))),
% 3.98/3.03 inference(symmetry,[status(thm)],[991])).
% 3.98/3.03 tff(993,plain,
% 3.98/3.03 (double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(a4, b4))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), identity))), double_divide(identity, identity))),
% 3.98/3.03 inference(monotonicity,[status(thm)],[992])).
% 3.98/3.03 tff(994,plain,
% 3.98/3.03 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(a4, b4))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(a4, b4))), double_divide(double_divide(a4, b4), identity))))),
% 3.98/3.03 inference(quant_inst,[status(thm)],[])).
% 3.98/3.03 tff(995,plain,
% 3.98/3.03 (double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(a4, b4))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(a4, b4))), double_divide(double_divide(a4, b4), identity)))),
% 3.98/3.04 inference(unit_resolution,[status(thm)],[994, 17])).
% 3.98/3.04 tff(996,plain,
% 3.98/3.04 (double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(a4, b4))), double_divide(double_divide(a4, b4), identity))) = double_divide(double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(a4, b4))), double_divide(double_divide(a4, b4), identity))), double_divide(double_divide(a4, b4), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), identity))), double_divide(identity, identity))),
% 3.98/3.04 inference(symmetry,[status(thm)],[995])).
% 3.98/3.04 tff(997,plain,
% 3.98/3.04 (double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))) = double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(a4, b4))), double_divide(double_divide(a4, b4), identity)))),
% 3.98/3.04 inference(monotonicity,[status(thm)],[806])).
% 3.98/3.04 tff(998,plain,
% 3.98/3.04 (double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))) = double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))),
% 3.98/3.04 inference(transitivity,[status(thm)],[997, 996, 993, 961, 921])).
% 3.98/3.04 tff(999,plain,
% 3.98/3.04 (double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))) = double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.98/3.04 inference(monotonicity,[status(thm)],[998])).
% 3.98/3.04 tff(1000,plain,
% 3.98/3.04 (double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))) = b4),
% 3.98/3.04 inference(transitivity,[status(thm)],[999, 959, 956, 815])).
% 3.98/3.04 tff(1001,plain,
% 3.98/3.04 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)) = double_divide(b4, a4)),
% 3.98/3.04 inference(monotonicity,[status(thm)],[1000, 950])).
% 3.98/3.04 tff(1002,plain,
% 3.98/3.04 (double_divide(b4, a4) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity))),
% 3.98/3.04 inference(symmetry,[status(thm)],[1001])).
% 3.98/3.04 tff(1003,plain,
% 3.98/3.04 (double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(b4, a4)) = double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))))), double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), identity)))),
% 3.98/3.04 inference(monotonicity,[status(thm)],[1002])).
% 3.98/3.04 tff(1004,plain,
% 3.98/3.04 (double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(b4, a4)) = double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))),
% 3.98/3.04 inference(transitivity,[status(thm)],[1003, 949, 946, 67, 61, 54])).
% 3.98/3.04 tff(1005,plain,
% 3.98/3.04 (double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(b4, a4)), double_divide(a4, identity)) = double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(b4, identity), double_divide(double_divide(a4, double_divide(double_divide(b4, identity), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(b4, double_divide(b4, identity))), double_divide(double_divide(b4, identity), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.98/3.04 inference(monotonicity,[status(thm)],[1004, 915])).
% 3.98/3.04 tff(1006,plain,
% 3.98/3.04 (double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(b4, a4)), double_divide(a4, identity)) = a4),
% 3.98/3.04 inference(transitivity,[status(thm)],[1005, 906, 903, 762])).
% 3.98/3.04 tff(1007,plain,
% 3.98/3.04 (double_divide(b4, double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(b4, a4)), double_divide(a4, identity))) = double_divide(b4, a4)),
% 3.98/3.04 inference(monotonicity,[status(thm)],[1006])).
% 3.98/3.04 tff(1008,plain,
% 3.98/3.04 (double_divide(b4, a4) = double_divide(b4, double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(b4, a4)), double_divide(a4, identity)))),
% 3.98/3.04 inference(symmetry,[status(thm)],[1007])).
% 3.98/3.04 tff(1009,plain,
% 3.98/3.04 (double_divide(double_divide(b4, a4), identity) = double_divide(double_divide(b4, double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a4, b4), identity)), identity), double_divide(b4, a4)), double_divide(a4, identity))), double_divide(identity, identity))),
% 3.98/3.04 inference(monotonicity,[status(thm)],[1008, 64])).
% 3.98/3.04 tff(1010,plain,
% 3.98/3.04 ((~![Y: $i, X: $i] : (multiply(X, Y) = double_divide(double_divide(Y, X), identity))) | (multiply(a4, b4) = double_divide(double_divide(b4, a4), identity))),
% 3.98/3.04 inference(quant_inst,[status(thm)],[])).
% 3.98/3.04 tff(1011,plain,
% 3.98/3.04 (multiply(a4, b4) = double_divide(double_divide(b4, a4), identity)),
% 3.98/3.04 inference(unit_resolution,[status(thm)],[1010, 7])).
% 3.98/3.04 tff(1012,plain,
% 3.98/3.04 (multiply(a4, b4) = multiply(b4, a4)),
% 3.98/3.04 inference(transitivity,[status(thm)],[1011, 1009, 760, 758, 755, 717])).
% 3.98/3.04 tff(1013,assumption,(~(multiply(a4, b4) = multiply(b4, a4))), introduced(assumption)).
% 3.98/3.04 tff(1014,plain,
% 3.98/3.04 ($false),
% 3.98/3.04 inference(unit_resolution,[status(thm)],[1013, 1012])).
% 3.98/3.04 tff(1015,plain,(multiply(a4, b4) = multiply(b4, a4)), inference(lemma,lemma(discharge,[]))).
% 3.98/3.04 tff(1016,plain,
% 3.98/3.04 ((~![X: $i] : (identity = double_divide(X, inverse(X)))) | (identity = double_divide(a1, inverse(a1)))),
% 3.98/3.04 inference(quant_inst,[status(thm)],[])).
% 3.98/3.04 tff(1017,plain,
% 3.98/3.04 (identity = double_divide(a1, inverse(a1))),
% 3.98/3.04 inference(unit_resolution,[status(thm)],[1016, 26])).
% 3.98/3.04 tff(1018,plain,
% 3.98/3.04 (double_divide(a1, inverse(a1)) = identity),
% 3.98/3.04 inference(symmetry,[status(thm)],[1017])).
% 3.98/3.04 tff(1019,plain,
% 3.98/3.04 (double_divide(double_divide(a1, inverse(a1)), identity) = double_divide(identity, identity)),
% 3.98/3.04 inference(monotonicity,[status(thm)],[1018])).
% 3.98/3.04 tff(1020,plain,
% 3.98/3.04 ((~![Y: $i, X: $i] : (multiply(X, Y) = double_divide(double_divide(Y, X), identity))) | (multiply(inverse(a1), a1) = double_divide(double_divide(a1, inverse(a1)), identity))),
% 3.98/3.04 inference(quant_inst,[status(thm)],[])).
% 3.98/3.04 tff(1021,plain,
% 3.98/3.04 (multiply(inverse(a1), a1) = double_divide(double_divide(a1, inverse(a1)), identity)),
% 3.98/3.04 inference(unit_resolution,[status(thm)],[1020, 7])).
% 3.98/3.04 tff(1022,plain,
% 3.98/3.04 (multiply(inverse(a1), a1) = identity),
% 3.98/3.04 inference(transitivity,[status(thm)],[1021, 1019, 67, 61, 54, 42])).
% 3.98/3.04 tff(1023,assumption,(~(multiply(inverse(a1), a1) = identity)), introduced(assumption)).
% 3.98/3.04 tff(1024,plain,
% 3.98/3.04 ($false),
% 3.98/3.04 inference(unit_resolution,[status(thm)],[1023, 1022])).
% 3.98/3.04 tff(1025,plain,(multiply(inverse(a1), a1) = identity), inference(lemma,lemma(discharge,[]))).
% 3.98/3.04 tff(1026,plain,
% 3.98/3.04 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(a2, double_divide(double_divide(a2, double_divide(a2, double_divide(a2, identity))), double_divide(double_divide(a2, identity), identity))), double_divide(identity, identity)) = a2)),
% 3.98/3.04 inference(quant_inst,[status(thm)],[])).
% 3.98/3.04 tff(1027,plain,
% 3.98/3.04 (double_divide(double_divide(a2, double_divide(double_divide(a2, double_divide(a2, double_divide(a2, identity))), double_divide(double_divide(a2, identity), identity))), double_divide(identity, identity)) = a2),
% 3.98/3.04 inference(unit_resolution,[status(thm)],[1026, 17])).
% 3.98/3.04 tff(1028,plain,
% 3.98/3.04 ((~![X: $i] : (inverse(X) = double_divide(X, identity))) | (inverse(a2) = double_divide(a2, identity))),
% 3.98/3.04 inference(quant_inst,[status(thm)],[])).
% 3.98/3.04 tff(1029,plain,
% 3.98/3.04 (inverse(a2) = double_divide(a2, identity)),
% 3.98/3.04 inference(unit_resolution,[status(thm)],[1028, 36])).
% 3.98/3.04 tff(1030,plain,
% 3.98/3.04 (double_divide(a2, identity) = inverse(a2)),
% 3.98/3.04 inference(symmetry,[status(thm)],[1029])).
% 3.98/3.04 tff(1031,plain,
% 3.98/3.04 (double_divide(a2, double_divide(a2, identity)) = double_divide(a2, inverse(a2))),
% 3.98/3.04 inference(monotonicity,[status(thm)],[1030])).
% 3.98/3.04 tff(1032,plain,
% 3.98/3.04 (double_divide(a2, inverse(a2)) = double_divide(a2, double_divide(a2, identity))),
% 3.98/3.04 inference(symmetry,[status(thm)],[1031])).
% 3.98/3.04 tff(1033,plain,
% 3.98/3.04 ((~![X: $i] : (identity = double_divide(X, inverse(X)))) | (identity = double_divide(a2, inverse(a2)))),
% 3.98/3.04 inference(quant_inst,[status(thm)],[])).
% 3.98/3.04 tff(1034,plain,
% 3.98/3.04 (identity = double_divide(a2, inverse(a2))),
% 3.98/3.04 inference(unit_resolution,[status(thm)],[1033, 26])).
% 3.98/3.04 tff(1035,plain,
% 3.98/3.04 (identity = double_divide(a2, double_divide(a2, identity))),
% 3.98/3.04 inference(transitivity,[status(thm)],[1034, 1032])).
% 3.98/3.04 tff(1036,plain,
% 3.98/3.04 (double_divide(identity, identity) = double_divide(double_divide(a2, double_divide(a2, identity)), identity)),
% 3.98/3.04 inference(monotonicity,[status(thm)],[1035])).
% 3.98/3.04 tff(1037,plain,
% 3.98/3.04 (double_divide(double_divide(a2, double_divide(a2, identity)), identity) = double_divide(identity, identity)),
% 3.98/3.04 inference(symmetry,[status(thm)],[1036])).
% 3.98/3.04 tff(1038,plain,
% 3.98/3.04 (double_divide(double_divide(a2, double_divide(a2, identity)), identity) = double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.98/3.04 inference(transitivity,[status(thm)],[1037, 52])).
% 3.98/3.04 tff(1039,plain,
% 3.98/3.04 (double_divide(double_divide(double_divide(a2, double_divide(a2, identity)), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.98/3.04 inference(monotonicity,[status(thm)],[1038, 45])).
% 3.98/3.04 tff(1040,plain,
% 3.98/3.04 (double_divide(double_divide(double_divide(a2, double_divide(a2, identity)), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))) = double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))),
% 3.98/3.04 inference(transitivity,[status(thm)],[1039, 54])).
% 3.98/3.04 tff(1041,plain,
% 3.98/3.04 (double_divide(double_divide(double_divide(double_divide(a2, double_divide(a2, identity)), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), inverse(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))))),
% 3.98/3.04 inference(monotonicity,[status(thm)],[1040, 39])).
% 3.98/3.04 tff(1042,plain,
% 3.98/3.04 (double_divide(double_divide(double_divide(double_divide(a2, double_divide(a2, identity)), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)) = identity),
% 3.98/3.04 inference(transitivity,[status(thm)],[1041, 29])).
% 3.98/3.04 tff(1043,plain,
% 3.98/3.04 (double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(a2, double_divide(a2, identity)), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(identity, identity)),
% 3.98/3.04 inference(monotonicity,[status(thm)],[42, 1042])).
% 3.98/3.04 tff(1044,plain,
% 3.98/3.04 (double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(a2, double_divide(a2, identity)), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))) = double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity)))),
% 3.98/3.04 inference(transitivity,[status(thm)],[1043, 52])).
% 3.98/3.04 tff(1045,plain,
% 3.98/3.04 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(a2, double_divide(a2, identity)), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.98/3.04 inference(monotonicity,[status(thm)],[1044])).
% 3.98/3.04 tff(1046,plain,
% 3.98/3.04 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(X, double_divide(double_divide(Y, double_divide(X, Z)), double_divide(Z, identity))), double_divide(identity, identity)) = Y)) | (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(a2, double_divide(a2, identity)), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(a2, double_divide(a2, identity)), identity))),
% 3.98/3.04 inference(quant_inst,[status(thm)],[])).
% 3.98/3.04 tff(1047,plain,
% 3.98/3.04 (double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(a2, double_divide(a2, identity)), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity)) = double_divide(double_divide(a2, double_divide(a2, identity)), identity)),
% 3.98/3.04 inference(unit_resolution,[status(thm)],[1046, 17])).
% 3.98/3.04 tff(1048,plain,
% 3.98/3.04 (double_divide(double_divide(a2, double_divide(a2, identity)), identity) = double_divide(double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(double_divide(double_divide(a2, double_divide(a2, identity)), identity), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))), double_divide(double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))), identity))), double_divide(identity, identity))),
% 3.98/3.04 inference(symmetry,[status(thm)],[1047])).
% 3.98/3.04 tff(1049,plain,
% 3.98/3.04 (double_divide(identity, identity) = identity),
% 3.98/3.04 inference(transitivity,[status(thm)],[1036, 1048, 1045, 54, 42])).
% 3.98/3.04 tff(1050,plain,
% 3.98/3.04 ((~![X: $i] : (inverse(X) = double_divide(X, identity))) | (inverse(double_divide(a2, identity)) = double_divide(double_divide(a2, identity), identity))),
% 3.98/3.04 inference(quant_inst,[status(thm)],[])).
% 3.98/3.04 tff(1051,plain,
% 3.98/3.04 (inverse(double_divide(a2, identity)) = double_divide(double_divide(a2, identity), identity)),
% 3.98/3.04 inference(unit_resolution,[status(thm)],[1050, 36])).
% 3.98/3.04 tff(1052,plain,
% 3.98/3.04 (double_divide(double_divide(a2, identity), identity) = inverse(double_divide(a2, identity))),
% 3.98/3.04 inference(symmetry,[status(thm)],[1051])).
% 3.98/3.04 tff(1053,plain,
% 3.98/3.04 (double_divide(a2, inverse(a2)) = identity),
% 3.98/3.04 inference(symmetry,[status(thm)],[1034])).
% 3.98/3.04 tff(1054,plain,
% 3.98/3.04 (double_divide(a2, double_divide(a2, identity)) = identity),
% 3.98/3.04 inference(transitivity,[status(thm)],[1031, 1053])).
% 3.98/3.04 tff(1055,plain,
% 3.98/3.04 (double_divide(a2, double_divide(a2, double_divide(a2, identity))) = double_divide(a2, identity)),
% 3.98/3.04 inference(monotonicity,[status(thm)],[1054])).
% 3.98/3.04 tff(1056,plain,
% 3.98/3.04 (double_divide(double_divide(a2, double_divide(a2, double_divide(a2, identity))), double_divide(double_divide(a2, identity), identity)) = double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))),
% 3.98/3.04 inference(monotonicity,[status(thm)],[1055, 1052])).
% 3.98/3.04 tff(1057,plain,
% 3.98/3.04 (double_divide(double_divide(a2, double_divide(a2, double_divide(a2, identity))), double_divide(double_divide(a2, identity), identity)) = identity),
% 3.98/3.04 inference(transitivity,[status(thm)],[1056, 42])).
% 3.98/3.04 tff(1058,plain,
% 3.98/3.04 (double_divide(a2, double_divide(double_divide(a2, double_divide(a2, double_divide(a2, identity))), double_divide(double_divide(a2, identity), identity))) = double_divide(a2, identity)),
% 3.98/3.04 inference(monotonicity,[status(thm)],[1057])).
% 3.98/3.04 tff(1059,plain,
% 3.98/3.04 (double_divide(double_divide(a2, double_divide(double_divide(a2, double_divide(a2, double_divide(a2, identity))), double_divide(double_divide(a2, identity), identity))), double_divide(identity, identity)) = double_divide(double_divide(a2, identity), identity)),
% 3.98/3.04 inference(monotonicity,[status(thm)],[1058, 1049])).
% 3.98/3.04 tff(1060,plain,
% 3.98/3.04 (double_divide(double_divide(a2, identity), identity) = double_divide(double_divide(a2, double_divide(double_divide(a2, double_divide(a2, double_divide(a2, identity))), double_divide(double_divide(a2, identity), identity))), double_divide(identity, identity))),
% 3.98/3.04 inference(symmetry,[status(thm)],[1059])).
% 3.98/3.04 tff(1061,plain,
% 3.98/3.04 ((~![Y: $i, X: $i] : (multiply(X, Y) = double_divide(double_divide(Y, X), identity))) | (multiply(identity, a2) = double_divide(double_divide(a2, identity), identity))),
% 3.98/3.05 inference(quant_inst,[status(thm)],[])).
% 3.98/3.05 tff(1062,plain,
% 3.98/3.05 (multiply(identity, a2) = double_divide(double_divide(a2, identity), identity)),
% 3.98/3.05 inference(unit_resolution,[status(thm)],[1061, 7])).
% 3.98/3.05 tff(1063,plain,
% 3.98/3.05 (multiply(identity, a2) = a2),
% 3.98/3.05 inference(transitivity,[status(thm)],[1062, 1060, 1027])).
% 3.98/3.05 tff(1064,assumption,(~(multiply(identity, a2) = a2)), introduced(assumption)).
% 3.98/3.05 tff(1065,plain,
% 3.98/3.05 ($false),
% 3.98/3.05 inference(unit_resolution,[status(thm)],[1064, 1063])).
% 3.98/3.05 tff(1066,plain,(multiply(identity, a2) = a2), inference(lemma,lemma(discharge,[]))).
% 3.98/3.05 tff(1067,plain,
% 3.98/3.05 (((~(multiply(inverse(a1), a1) = identity)) | (~(multiply(identity, a2) = a2)) | (~(multiply(multiply(a3, b3), c3) = multiply(a3, multiply(b3, c3)))) | (~(multiply(a4, b4) = multiply(b4, a4)))) <=> ((~(multiply(inverse(a1), a1) = identity)) | (~(multiply(identity, a2) = a2)) | (~(multiply(multiply(a3, b3), c3) = multiply(a3, multiply(b3, c3)))) | (~(multiply(a4, b4) = multiply(b4, a4))))),
% 3.98/3.05 inference(rewrite,[status(thm)],[])).
% 3.98/3.05 tff(1068,plain,
% 3.98/3.05 ((((~(multiply(inverse(a1), a1) = identity)) | (~(multiply(identity, a2) = a2)) | (~(multiply(multiply(a3, b3), c3) = multiply(a3, multiply(b3, c3))))) | (~(multiply(a4, b4) = multiply(b4, a4)))) <=> ((~(multiply(inverse(a1), a1) = identity)) | (~(multiply(identity, a2) = a2)) | (~(multiply(multiply(a3, b3), c3) = multiply(a3, multiply(b3, c3)))) | (~(multiply(a4, b4) = multiply(b4, a4))))),
% 3.98/3.05 inference(rewrite,[status(thm)],[])).
% 3.98/3.05 tff(1069,plain,
% 3.98/3.05 ((((~(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)))))),
% 3.98/3.05 inference(rewrite,[status(thm)],[])).
% 3.98/3.05 tff(1070,plain,
% 3.98/3.05 (((~(multiply(inverse(a1), a1) = identity)) | (~(multiply(identity, a2) = a2))) <=> ((~(multiply(inverse(a1), a1) = identity)) | (~(multiply(identity, a2) = a2)))),
% 3.98/3.05 inference(rewrite,[status(thm)],[])).
% 3.98/3.05 tff(1071,plain,
% 3.98/3.05 ((((~(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)))))),
% 3.98/3.05 inference(monotonicity,[status(thm)],[1070])).
% 3.98/3.05 tff(1072,plain,
% 3.98/3.05 ((((~(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)))))),
% 3.98/3.05 inference(transitivity,[status(thm)],[1071, 1069])).
% 3.98/3.05 tff(1073,plain,
% 3.98/3.05 (((((~(multiply(inverse(a1), a1) = identity)) | (~(multiply(identity, a2) = a2))) | (~(multiply(multiply(a3, b3), c3) = multiply(a3, multiply(b3, c3))))) | (~(multiply(a4, b4) = multiply(b4, a4)))) <=> (((~(multiply(inverse(a1), a1) = identity)) | (~(multiply(identity, a2) = a2)) | (~(multiply(multiply(a3, b3), c3) = multiply(a3, multiply(b3, c3))))) | (~(multiply(a4, b4) = multiply(b4, a4))))),
% 3.98/3.05 inference(monotonicity,[status(thm)],[1072])).
% 3.98/3.05 tff(1074,plain,
% 3.98/3.05 (((((~(multiply(inverse(a1), a1) = identity)) | (~(multiply(identity, a2) = a2))) | (~(multiply(multiply(a3, b3), c3) = multiply(a3, multiply(b3, c3))))) | (~(multiply(a4, b4) = multiply(b4, a4)))) <=> ((~(multiply(inverse(a1), a1) = identity)) | (~(multiply(identity, a2) = a2)) | (~(multiply(multiply(a3, b3), c3) = multiply(a3, multiply(b3, c3)))) | (~(multiply(a4, b4) = multiply(b4, a4))))),
% 3.98/3.05 inference(transitivity,[status(thm)],[1073, 1068])).
% 3.98/3.05 tff(1075,axiom,((((~(multiply(inverse(a1), a1) = identity)) | (~(multiply(identity, a2) = a2))) | (~(multiply(multiply(a3, b3), c3) = multiply(a3, multiply(b3, c3))))) | (~(multiply(a4, b4) = multiply(b4, a4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_these_axioms')).
% 3.98/3.05 tff(1076,plain,
% 3.98/3.05 ((~(multiply(inverse(a1), a1) = identity)) | (~(multiply(identity, a2) = a2)) | (~(multiply(multiply(a3, b3), c3) = multiply(a3, multiply(b3, c3)))) | (~(multiply(a4, b4) = multiply(b4, a4)))),
% 3.98/3.05 inference(modus_ponens,[status(thm)],[1075, 1074])).
% 3.98/3.05 tff(1077,plain,
% 3.98/3.05 ((~(multiply(inverse(a1), a1) = identity)) | (~(multiply(identity, a2) = a2)) | (~(multiply(multiply(a3, b3), c3) = multiply(a3, multiply(b3, c3)))) | (~(multiply(a4, b4) = multiply(b4, a4)))),
% 3.98/3.05 inference(modus_ponens,[status(thm)],[1076, 1067])).
% 3.98/3.05 tff(1078,plain,
% 3.98/3.05 ((~(multiply(inverse(a1), a1) = identity)) | (~(multiply(identity, a2) = a2)) | (~(multiply(multiply(a3, b3), c3) = multiply(a3, multiply(b3, c3)))) | (~(multiply(a4, b4) = multiply(b4, a4)))),
% 3.98/3.05 inference(modus_ponens,[status(thm)],[1077, 1067])).
% 3.98/3.05 tff(1079,plain,
% 3.98/3.05 ((~(multiply(inverse(a1), a1) = identity)) | (~(multiply(identity, a2) = a2)) | (~(multiply(multiply(a3, b3), c3) = multiply(a3, multiply(b3, c3)))) | (~(multiply(a4, b4) = multiply(b4, a4)))),
% 3.98/3.05 inference(modus_ponens,[status(thm)],[1078, 1067])).
% 3.98/3.05 tff(1080,plain,
% 3.98/3.05 ((~(multiply(inverse(a1), a1) = identity)) | (~(multiply(identity, a2) = a2)) | (~(multiply(multiply(a3, b3), c3) = multiply(a3, multiply(b3, c3)))) | (~(multiply(a4, b4) = multiply(b4, a4)))),
% 3.98/3.05 inference(modus_ponens,[status(thm)],[1079, 1067])).
% 3.98/3.05 tff(1081,plain,
% 3.98/3.05 ((~(multiply(inverse(a1), a1) = identity)) | (~(multiply(identity, a2) = a2)) | (~(multiply(multiply(a3, b3), c3) = multiply(a3, multiply(b3, c3)))) | (~(multiply(a4, b4) = multiply(b4, a4)))),
% 3.98/3.05 inference(modus_ponens,[status(thm)],[1080, 1067])).
% 3.98/3.05 tff(1082,plain,
% 3.98/3.05 ((~(multiply(inverse(a1), a1) = identity)) | (~(multiply(identity, a2) = a2)) | (~(multiply(multiply(a3, b3), c3) = multiply(a3, multiply(b3, c3)))) | (~(multiply(a4, b4) = multiply(b4, a4)))),
% 3.98/3.05 inference(modus_ponens,[status(thm)],[1081, 1067])).
% 3.98/3.05 tff(1083,plain,
% 3.98/3.05 ((~(multiply(inverse(a1), a1) = identity)) | (~(multiply(identity, a2) = a2)) | (~(multiply(multiply(a3, b3), c3) = multiply(a3, multiply(b3, c3)))) | (~(multiply(a4, b4) = multiply(b4, a4)))),
% 3.98/3.05 inference(modus_ponens,[status(thm)],[1082, 1067])).
% 3.98/3.05 tff(1084,plain,
% 3.98/3.05 ((~(multiply(inverse(a1), a1) = identity)) | (~(multiply(multiply(a3, b3), c3) = multiply(a3, multiply(b3, c3)))) | (~(multiply(a4, b4) = multiply(b4, a4)))),
% 3.98/3.05 inference(unit_resolution,[status(thm)],[1083, 1066])).
% 3.98/3.05 tff(1085,plain,
% 3.98/3.05 ((~(multiply(multiply(a3, b3), c3) = multiply(a3, multiply(b3, c3)))) | (~(multiply(a4, b4) = multiply(b4, a4)))),
% 3.98/3.05 inference(unit_resolution,[status(thm)],[1084, 1025])).
% 3.98/3.05 tff(1086,plain,
% 3.98/3.05 (~(multiply(multiply(a3, b3), c3) = multiply(a3, multiply(b3, c3)))),
% 3.98/3.05 inference(unit_resolution,[status(thm)],[1085, 1015])).
% 3.98/3.05 tff(1087,plain,
% 3.98/3.05 ($false),
% 3.98/3.05 inference(unit_resolution,[status(thm)],[1086, 714])).
% 3.98/3.05 % SZS output end Proof
%------------------------------------------------------------------------------