TSTP Solution File: GRP080-1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : GRP080-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 16 22:25:46 EDT 2022
% Result : Unsatisfiable 6.59s 4.56s
% Output : Proof 6.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP080-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% 0.11/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Aug 31 14:47:02 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.34 Usage: tptp [options] [-file:]file
% 0.13/0.34 -h, -? prints this message.
% 0.13/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.34 -m, -model generate model.
% 0.13/0.34 -p, -proof generate proof.
% 0.13/0.34 -c, -core generate unsat core of named formulas.
% 0.13/0.34 -st, -statistics display statistics.
% 0.13/0.34 -t:timeout set timeout (in second).
% 0.13/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.34 -<param>:<value> configuration parameter and value.
% 0.13/0.34 -o:<output-file> file to place output in.
% 6.59/4.56 % SZS status Unsatisfiable
% 6.59/4.56 % SZS output start Proof
% 6.59/4.56 tff(identity_type, type, (
% 6.59/4.56 identity: $i)).
% 6.59/4.56 tff(multiply_type, type, (
% 6.59/4.56 multiply: ( $i * $i ) > $i)).
% 6.59/4.56 tff(a1_type, type, (
% 6.59/4.56 a1: $i)).
% 6.59/4.56 tff(inverse_type, type, (
% 6.59/4.56 inverse: $i > $i)).
% 6.59/4.56 tff(double_divide_type, type, (
% 6.59/4.56 double_divide: ( $i * $i ) > $i)).
% 6.59/4.56 tff(a3_type, type, (
% 6.59/4.56 a3: $i)).
% 6.59/4.56 tff(c3_type, type, (
% 6.59/4.56 c3: $i)).
% 6.59/4.56 tff(b3_type, type, (
% 6.59/4.56 b3: $i)).
% 6.59/4.56 tff(a2_type, type, (
% 6.59/4.56 a2: $i)).
% 6.59/4.56 tff(1,plain,
% 6.59/4.56 (^[X: $i] : refl((identity = double_divide(X, inverse(X))) <=> (identity = double_divide(X, inverse(X))))),
% 6.59/4.56 inference(bind,[status(th)],[])).
% 6.59/4.56 tff(2,plain,
% 6.59/4.56 (![X: $i] : (identity = double_divide(X, inverse(X))) <=> ![X: $i] : (identity = double_divide(X, inverse(X)))),
% 6.59/4.56 inference(quant_intro,[status(thm)],[1])).
% 6.59/4.56 tff(3,plain,
% 6.59/4.56 (![X: $i] : (identity = double_divide(X, inverse(X))) <=> ![X: $i] : (identity = double_divide(X, inverse(X)))),
% 6.59/4.56 inference(rewrite,[status(thm)],[])).
% 6.59/4.56 tff(4,axiom,(![X: $i] : (identity = double_divide(X, inverse(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','identity')).
% 6.59/4.56 tff(5,plain,
% 6.59/4.56 (![X: $i] : (identity = double_divide(X, inverse(X)))),
% 6.59/4.56 inference(modus_ponens,[status(thm)],[4, 3])).
% 6.59/4.56 tff(6,plain,(
% 6.59/4.56 ![X: $i] : (identity = double_divide(X, inverse(X)))),
% 6.59/4.56 inference(skolemize,[status(sab)],[5])).
% 6.59/4.56 tff(7,plain,
% 6.59/4.56 (![X: $i] : (identity = double_divide(X, inverse(X)))),
% 6.59/4.56 inference(modus_ponens,[status(thm)],[6, 2])).
% 6.59/4.56 tff(8,plain,
% 6.59/4.56 ((~![X: $i] : (identity = double_divide(X, inverse(X)))) | (identity = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), inverse(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))))),
% 6.59/4.56 inference(quant_inst,[status(thm)],[])).
% 6.59/4.56 tff(9,plain,
% 6.59/4.56 (identity = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), inverse(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))))),
% 6.59/4.56 inference(unit_resolution,[status(thm)],[8, 7])).
% 6.59/4.56 tff(10,plain,
% 6.59/4.56 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), inverse(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))) = identity),
% 6.59/4.56 inference(symmetry,[status(thm)],[9])).
% 6.59/4.56 tff(11,plain,
% 6.59/4.56 (^[X: $i] : refl((inverse(X) = double_divide(X, identity)) <=> (inverse(X) = double_divide(X, identity)))),
% 6.59/4.56 inference(bind,[status(th)],[])).
% 6.59/4.56 tff(12,plain,
% 6.59/4.56 (![X: $i] : (inverse(X) = double_divide(X, identity)) <=> ![X: $i] : (inverse(X) = double_divide(X, identity))),
% 6.59/4.56 inference(quant_intro,[status(thm)],[11])).
% 6.59/4.56 tff(13,plain,
% 6.59/4.56 (![X: $i] : (inverse(X) = double_divide(X, identity)) <=> ![X: $i] : (inverse(X) = double_divide(X, identity))),
% 6.59/4.56 inference(rewrite,[status(thm)],[])).
% 6.59/4.56 tff(14,axiom,(![X: $i] : (inverse(X) = double_divide(X, identity))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','inverse')).
% 6.59/4.56 tff(15,plain,
% 6.59/4.56 (![X: $i] : (inverse(X) = double_divide(X, identity))),
% 6.59/4.56 inference(modus_ponens,[status(thm)],[14, 13])).
% 6.59/4.56 tff(16,plain,(
% 6.59/4.56 ![X: $i] : (inverse(X) = double_divide(X, identity))),
% 6.59/4.56 inference(skolemize,[status(sab)],[15])).
% 6.59/4.56 tff(17,plain,
% 6.59/4.56 (![X: $i] : (inverse(X) = double_divide(X, identity))),
% 6.59/4.56 inference(modus_ponens,[status(thm)],[16, 12])).
% 6.59/4.56 tff(18,plain,
% 6.59/4.56 ((~![X: $i] : (inverse(X) = double_divide(X, identity))) | (inverse(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))),
% 6.59/4.56 inference(quant_inst,[status(thm)],[])).
% 6.59/4.56 tff(19,plain,
% 6.59/4.56 (inverse(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)),
% 6.59/4.56 inference(unit_resolution,[status(thm)],[18, 17])).
% 6.59/4.57 tff(20,plain,
% 6.59/4.57 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity) = inverse(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))),
% 6.59/4.57 inference(symmetry,[status(thm)],[19])).
% 6.59/4.57 tff(21,plain,
% 6.59/4.57 (^[Z: $i, Y: $i, X: $i] : refl((double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z) <=> (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z))),
% 6.59/4.57 inference(bind,[status(th)],[])).
% 6.59/4.57 tff(22,plain,
% 6.59/4.57 (![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z) <=> ![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z)),
% 6.59/4.57 inference(quant_intro,[status(thm)],[21])).
% 6.59/4.57 tff(23,plain,
% 6.59/4.57 (![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z) <=> ![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z)),
% 6.59/4.57 inference(rewrite,[status(thm)],[])).
% 6.59/4.57 tff(24,axiom,(![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','single_axiom')).
% 6.59/4.57 tff(25,plain,
% 6.59/4.57 (![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z)),
% 6.59/4.57 inference(modus_ponens,[status(thm)],[24, 23])).
% 6.59/4.57 tff(26,plain,(
% 6.59/4.57 ![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z)),
% 6.59/4.57 inference(skolemize,[status(sab)],[25])).
% 6.59/4.57 tff(27,plain,
% 6.59/4.57 (![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z)),
% 6.59/4.57 inference(modus_ponens,[status(thm)],[26, 22])).
% 6.59/4.57 tff(28,plain,
% 6.59/4.57 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z)) | (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))),
% 6.59/4.57 inference(quant_inst,[status(thm)],[])).
% 6.59/4.57 tff(29,plain,
% 6.59/4.57 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))),
% 6.59/4.57 inference(unit_resolution,[status(thm)],[28, 27])).
% 6.59/4.57 tff(30,plain,
% 6.59/4.57 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z)) | (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(c3, identity))), double_divide(double_divide(c3, double_divide(c3, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = c3)),
% 6.59/4.57 inference(quant_inst,[status(thm)],[])).
% 6.59/4.57 tff(31,plain,
% 6.59/4.57 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(c3, identity))), double_divide(double_divide(c3, double_divide(c3, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = c3),
% 6.59/4.57 inference(unit_resolution,[status(thm)],[30, 27])).
% 6.59/4.57 tff(32,plain,
% 6.59/4.57 ((~![X: $i] : (identity = double_divide(X, inverse(X)))) | (identity = double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))),
% 6.59/4.57 inference(quant_inst,[status(thm)],[])).
% 6.59/4.57 tff(33,plain,
% 6.59/4.57 (identity = double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))),
% 6.59/4.57 inference(unit_resolution,[status(thm)],[32, 7])).
% 6.59/4.57 tff(34,plain,
% 6.59/4.57 ((~![X: $i] : (identity = double_divide(X, inverse(X)))) | (identity = double_divide(c3, inverse(c3)))),
% 6.59/4.57 inference(quant_inst,[status(thm)],[])).
% 6.59/4.57 tff(35,plain,
% 6.59/4.57 (identity = double_divide(c3, inverse(c3))),
% 6.59/4.57 inference(unit_resolution,[status(thm)],[34, 7])).
% 6.59/4.57 tff(36,plain,
% 6.59/4.57 (double_divide(c3, inverse(c3)) = identity),
% 6.59/4.57 inference(symmetry,[status(thm)],[35])).
% 6.59/4.57 tff(37,plain,
% 6.59/4.57 ((~![X: $i] : (inverse(X) = double_divide(X, identity))) | (inverse(c3) = double_divide(c3, identity))),
% 6.59/4.57 inference(quant_inst,[status(thm)],[])).
% 6.59/4.57 tff(38,plain,
% 6.59/4.57 (inverse(c3) = double_divide(c3, identity)),
% 6.59/4.57 inference(unit_resolution,[status(thm)],[37, 17])).
% 6.59/4.57 tff(39,plain,
% 6.59/4.57 (double_divide(c3, identity) = inverse(c3)),
% 6.59/4.57 inference(symmetry,[status(thm)],[38])).
% 6.59/4.57 tff(40,plain,
% 6.59/4.57 (double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))) = identity),
% 6.59/4.57 inference(symmetry,[status(thm)],[33])).
% 6.59/4.57 tff(41,plain,
% 6.59/4.57 (double_divide(c3, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))) = double_divide(c3, identity)),
% 6.59/4.57 inference(monotonicity,[status(thm)],[40])).
% 6.59/4.57 tff(42,plain,
% 6.59/4.57 (double_divide(c3, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))) = inverse(c3)),
% 6.59/4.57 inference(transitivity,[status(thm)],[41, 39])).
% 6.59/4.57 tff(43,plain,
% 6.59/4.57 (double_divide(c3, double_divide(c3, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))) = double_divide(c3, inverse(c3))),
% 6.59/4.57 inference(monotonicity,[status(thm)],[42])).
% 6.59/4.57 tff(44,plain,
% 6.59/4.57 (double_divide(c3, double_divide(c3, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))) = double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))),
% 6.59/4.57 inference(transitivity,[status(thm)],[43, 36, 33])).
% 6.59/4.57 tff(45,plain,
% 6.59/4.57 (double_divide(double_divide(c3, double_divide(c3, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)),
% 6.59/4.57 inference(monotonicity,[status(thm)],[44])).
% 6.59/4.57 tff(46,plain,
% 6.59/4.57 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity) = double_divide(double_divide(c3, double_divide(c3, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)),
% 6.59/4.57 inference(symmetry,[status(thm)],[45])).
% 6.59/4.57 tff(47,plain,
% 6.59/4.57 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)),
% 6.59/4.57 inference(monotonicity,[status(thm)],[40])).
% 6.59/4.57 tff(48,plain,
% 6.59/4.57 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))) = double_divide(double_divide(c3, double_divide(c3, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)),
% 6.59/4.57 inference(transitivity,[status(thm)],[47, 46])).
% 6.59/4.57 tff(49,plain,
% 6.59/4.57 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(c3, identity)) = double_divide(identity, double_divide(c3, identity))),
% 6.59/4.57 inference(monotonicity,[status(thm)],[40])).
% 6.59/4.57 tff(50,plain,
% 6.59/4.57 (double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(c3, identity))) = double_divide(identity, double_divide(identity, double_divide(c3, identity)))),
% 6.59/4.57 inference(monotonicity,[status(thm)],[49])).
% 6.59/4.57 tff(51,plain,
% 6.59/4.57 (double_divide(identity, double_divide(identity, double_divide(c3, identity))) = double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(c3, identity)))),
% 6.59/4.57 inference(symmetry,[status(thm)],[50])).
% 6.59/4.57 tff(52,plain,
% 6.59/4.57 (double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(c3, identity))), double_divide(double_divide(c3, double_divide(c3, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity))),
% 6.59/4.57 inference(monotonicity,[status(thm)],[51, 48])).
% 6.59/4.57 tff(53,plain,
% 6.59/4.57 (double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))) = c3),
% 6.59/4.57 inference(transitivity,[status(thm)],[52, 31])).
% 6.59/4.57 tff(54,plain,
% 6.59/4.57 (double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity) = double_divide(c3, identity)),
% 6.59/4.57 inference(monotonicity,[status(thm)],[53])).
% 6.59/4.57 tff(55,plain,
% 6.59/4.57 (double_divide(c3, identity) = double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)),
% 6.59/4.57 inference(symmetry,[status(thm)],[54])).
% 6.59/4.57 tff(56,plain,
% 6.59/4.57 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z)) | (double_divide(double_divide(identity, double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity)) = double_divide(c3, identity))),
% 6.74/4.57 inference(quant_inst,[status(thm)],[])).
% 6.74/4.57 tff(57,plain,
% 6.74/4.57 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity)) = double_divide(c3, identity)),
% 6.74/4.57 inference(unit_resolution,[status(thm)],[56, 27])).
% 6.74/4.57 tff(58,plain,
% 6.74/4.57 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))) = double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)))),
% 6.74/4.57 inference(monotonicity,[status(thm)],[40])).
% 6.74/4.57 tff(59,plain,
% 6.74/4.57 (double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity) = double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity)),
% 6.74/4.57 inference(monotonicity,[status(thm)],[58])).
% 6.74/4.57 tff(60,plain,
% 6.74/4.57 (double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity) = double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity)),
% 6.74/4.57 inference(symmetry,[status(thm)],[59])).
% 6.74/4.57 tff(61,plain,
% 6.74/4.57 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity)) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity))),
% 6.74/4.57 inference(monotonicity,[status(thm)],[60])).
% 6.74/4.57 tff(62,plain,
% 6.74/4.57 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity)) = double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)),
% 6.74/4.57 inference(transitivity,[status(thm)],[61, 57, 55])).
% 6.74/4.57 tff(63,plain,
% 6.74/4.57 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity)) = double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))),
% 6.74/4.57 inference(monotonicity,[status(thm)],[40])).
% 6.74/4.57 tff(64,plain,
% 6.74/4.57 (double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))) = double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity)))),
% 6.74/4.57 inference(monotonicity,[status(thm)],[63])).
% 6.74/4.57 tff(65,plain,
% 6.74/4.57 (double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))) = double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity)))),
% 6.74/4.57 inference(symmetry,[status(thm)],[64])).
% 6.74/4.57 tff(66,plain,
% 6.74/4.57 (double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity))) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity))),
% 6.74/4.57 inference(monotonicity,[status(thm)],[65, 62])).
% 6.74/4.57 tff(67,plain,
% 6.74/4.57 (double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity))) = double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))),
% 6.74/4.57 inference(transitivity,[status(thm)],[66, 29])).
% 6.74/4.57 tff(68,plain,
% 6.74/4.57 (double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity))), identity) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)),
% 6.74/4.57 inference(monotonicity,[status(thm)],[67])).
% 6.74/4.57 tff(69,plain,
% 6.74/4.57 (double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity))), identity) = inverse(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))),
% 6.74/4.57 inference(transitivity,[status(thm)],[68, 20])).
% 6.74/4.57 tff(70,plain,
% 6.74/4.57 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z)) | (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))),
% 6.74/4.57 inference(quant_inst,[status(thm)],[])).
% 6.74/4.57 tff(71,plain,
% 6.74/4.57 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))),
% 6.74/4.58 inference(unit_resolution,[status(thm)],[70, 27])).
% 6.74/4.58 tff(72,plain,
% 6.74/4.58 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))) = inverse(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))),
% 6.74/4.58 inference(transitivity,[status(thm)],[47, 20])).
% 6.74/4.58 tff(73,plain,
% 6.74/4.58 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), inverse(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))))),
% 6.74/4.58 inference(monotonicity,[status(thm)],[72])).
% 6.74/4.58 tff(74,plain,
% 6.74/4.58 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))) = double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))),
% 6.74/4.58 inference(transitivity,[status(thm)],[73, 10, 33])).
% 6.74/4.58 tff(75,plain,
% 6.74/4.58 (double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)),
% 6.74/4.58 inference(monotonicity,[status(thm)],[74])).
% 6.74/4.58 tff(76,plain,
% 6.74/4.58 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity) = double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)),
% 6.74/4.58 inference(symmetry,[status(thm)],[75])).
% 6.74/4.58 tff(77,plain,
% 6.74/4.58 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), inverse(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))))),
% 6.74/4.58 inference(monotonicity,[status(thm)],[20])).
% 6.74/4.58 tff(78,plain,
% 6.74/4.58 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)) = identity),
% 6.74/4.58 inference(transitivity,[status(thm)],[77, 10])).
% 6.74/4.58 tff(79,plain,
% 6.74/4.58 (double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)),
% 6.74/4.58 inference(monotonicity,[status(thm)],[33, 78])).
% 6.74/4.58 tff(80,plain,
% 6.74/4.58 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity) = double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)))),
% 6.74/4.58 inference(symmetry,[status(thm)],[79])).
% 6.74/4.58 tff(81,plain,
% 6.74/4.58 (double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity))),
% 6.74/4.58 inference(monotonicity,[status(thm)],[80, 76])).
% 6.74/4.58 tff(82,plain,
% 6.74/4.58 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))),
% 6.74/4.58 inference(symmetry,[status(thm)],[81])).
% 6.74/4.58 tff(83,plain,
% 6.74/4.58 (double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity))),
% 6.74/4.58 inference(symmetry,[status(thm)],[71])).
% 6.74/4.58 tff(84,plain,
% 6.74/4.58 (identity = double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))),
% 6.74/4.58 inference(transitivity,[status(thm)],[33, 83, 82])).
% 6.74/4.58 tff(85,plain,
% 6.74/4.58 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity) = double_divide(identity, double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)))),
% 6.74/4.58 inference(monotonicity,[status(thm)],[40, 84])).
% 6.74/4.58 tff(86,plain,
% 6.74/4.58 (double_divide(identity, double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)),
% 6.74/4.58 inference(symmetry,[status(thm)],[85])).
% 6.74/4.58 tff(87,plain,
% 6.74/4.58 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z)) | (double_divide(double_divide(identity, double_divide(double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity))), identity)) = double_divide(identity, double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))))),
% 6.74/4.58 inference(quant_inst,[status(thm)],[])).
% 6.74/4.58 tff(88,plain,
% 6.74/4.58 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity))), identity)) = double_divide(identity, double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)))),
% 6.74/4.58 inference(unit_resolution,[status(thm)],[87, 27])).
% 6.74/4.58 tff(89,plain,
% 6.74/4.58 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity) = double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity))), identity)),
% 6.74/4.58 inference(symmetry,[status(thm)],[68])).
% 6.74/4.58 tff(90,plain,
% 6.74/4.58 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), identity))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity))), identity))),
% 6.74/4.58 inference(monotonicity,[status(thm)],[89])).
% 6.74/4.58 tff(91,plain,
% 6.74/4.58 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), identity))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)) = inverse(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))),
% 6.74/4.58 inference(transitivity,[status(thm)],[90, 88, 86, 20])).
% 6.74/4.58 tff(92,plain,
% 6.74/4.58 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), identity))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), inverse(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))))),
% 6.74/4.58 inference(monotonicity,[status(thm)],[91])).
% 6.74/4.58 tff(93,plain,
% 6.74/4.58 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), identity))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))) = double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))),
% 6.74/4.58 inference(transitivity,[status(thm)],[92, 10, 33])).
% 6.74/4.58 tff(94,plain,
% 6.74/4.58 (double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), identity))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)),
% 6.74/4.58 inference(monotonicity,[status(thm)],[93])).
% 6.74/4.58 tff(95,plain,
% 6.74/4.58 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), identity))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity)) = double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))),
% 6.74/4.58 inference(monotonicity,[status(thm)],[86, 94])).
% 6.74/4.58 tff(96,plain,
% 6.74/4.58 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z)) | (double_divide(double_divide(identity, double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), identity))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity)) = double_divide(identity, double_divide(double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), identity))))),
% 6.74/4.58 inference(quant_inst,[status(thm)],[])).
% 6.74/4.58 tff(97,plain,
% 6.74/4.58 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), identity))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity)) = double_divide(identity, double_divide(double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), identity)))),
% 6.74/4.58 inference(unit_resolution,[status(thm)],[96, 27])).
% 6.74/4.58 tff(98,plain,
% 6.74/4.58 (double_divide(identity, double_divide(double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), identity))) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), identity))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity))),
% 6.74/4.58 inference(symmetry,[status(thm)],[97])).
% 6.74/4.58 tff(99,plain,
% 6.74/4.58 (double_divide(identity, double_divide(double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), identity))) = double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))),
% 6.74/4.58 inference(transitivity,[status(thm)],[98, 95, 81, 71])).
% 6.74/4.58 tff(100,plain,
% 6.74/4.59 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity))), identity)) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), inverse(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))))),
% 6.74/4.59 inference(monotonicity,[status(thm)],[99, 69])).
% 6.74/4.59 tff(101,plain,
% 6.74/4.59 (double_divide(identity, double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity))), identity))),
% 6.74/4.59 inference(symmetry,[status(thm)],[88])).
% 6.74/4.59 tff(102,plain,
% 6.74/4.59 ((~![X: $i] : (identity = double_divide(X, inverse(X)))) | (identity = double_divide(a1, inverse(a1)))),
% 6.74/4.59 inference(quant_inst,[status(thm)],[])).
% 6.74/4.59 tff(103,plain,
% 6.74/4.59 (identity = double_divide(a1, inverse(a1))),
% 6.74/4.59 inference(unit_resolution,[status(thm)],[102, 7])).
% 6.74/4.59 tff(104,plain,
% 6.74/4.59 (double_divide(a1, inverse(a1)) = identity),
% 6.74/4.59 inference(symmetry,[status(thm)],[103])).
% 6.74/4.59 tff(105,plain,
% 6.74/4.59 (double_divide(a1, inverse(a1)) = double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))),
% 6.74/4.59 inference(transitivity,[status(thm)],[104, 33])).
% 6.74/4.59 tff(106,plain,
% 6.74/4.59 (double_divide(double_divide(a1, inverse(a1)), identity) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)),
% 6.74/4.59 inference(monotonicity,[status(thm)],[105])).
% 6.74/4.59 tff(107,plain,
% 6.74/4.59 (^[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)))),
% 6.74/4.59 inference(bind,[status(th)],[])).
% 6.74/4.59 tff(108,plain,
% 6.74/4.59 (![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))),
% 6.74/4.59 inference(quant_intro,[status(thm)],[107])).
% 6.74/4.59 tff(109,plain,
% 6.74/4.59 (![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))),
% 6.74/4.59 inference(rewrite,[status(thm)],[])).
% 6.74/4.59 tff(110,axiom,(![Y: $i, X: $i] : (multiply(X, Y) = double_divide(double_divide(Y, X), identity))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','multiply')).
% 6.74/4.59 tff(111,plain,
% 6.74/4.59 (![Y: $i, X: $i] : (multiply(X, Y) = double_divide(double_divide(Y, X), identity))),
% 6.74/4.59 inference(modus_ponens,[status(thm)],[110, 109])).
% 6.74/4.59 tff(112,plain,(
% 6.74/4.59 ![Y: $i, X: $i] : (multiply(X, Y) = double_divide(double_divide(Y, X), identity))),
% 6.74/4.59 inference(skolemize,[status(sab)],[111])).
% 6.74/4.59 tff(113,plain,
% 6.74/4.59 (![Y: $i, X: $i] : (multiply(X, Y) = double_divide(double_divide(Y, X), identity))),
% 6.74/4.59 inference(modus_ponens,[status(thm)],[112, 108])).
% 6.74/4.59 tff(114,plain,
% 6.74/4.59 ((~![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))),
% 6.74/4.59 inference(quant_inst,[status(thm)],[])).
% 6.74/4.59 tff(115,plain,
% 6.74/4.59 (multiply(inverse(a1), a1) = double_divide(double_divide(a1, inverse(a1)), identity)),
% 6.74/4.59 inference(unit_resolution,[status(thm)],[114, 113])).
% 6.74/4.59 tff(116,plain,
% 6.74/4.59 (multiply(inverse(a1), a1) = identity),
% 6.74/4.59 inference(transitivity,[status(thm)],[115, 106, 85, 101, 100, 10])).
% 6.74/4.59 tff(117,plain,
% 6.74/4.59 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z)) | (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(a2, identity))), double_divide(double_divide(a2, double_divide(a2, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = a2)),
% 6.74/4.59 inference(quant_inst,[status(thm)],[])).
% 6.74/4.59 tff(118,plain,
% 6.74/4.59 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(a2, identity))), double_divide(double_divide(a2, double_divide(a2, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = a2),
% 6.74/4.59 inference(unit_resolution,[status(thm)],[117, 27])).
% 6.74/4.59 tff(119,plain,
% 6.74/4.59 ((~![X: $i] : (identity = double_divide(X, inverse(X)))) | (identity = double_divide(a2, inverse(a2)))),
% 6.74/4.59 inference(quant_inst,[status(thm)],[])).
% 6.74/4.59 tff(120,plain,
% 6.74/4.59 (identity = double_divide(a2, inverse(a2))),
% 6.74/4.59 inference(unit_resolution,[status(thm)],[119, 7])).
% 6.74/4.59 tff(121,plain,
% 6.74/4.59 (double_divide(a2, inverse(a2)) = identity),
% 6.74/4.59 inference(symmetry,[status(thm)],[120])).
% 6.74/4.59 tff(122,plain,
% 6.74/4.59 ((~![X: $i] : (inverse(X) = double_divide(X, identity))) | (inverse(a2) = double_divide(a2, identity))),
% 6.74/4.59 inference(quant_inst,[status(thm)],[])).
% 6.74/4.59 tff(123,plain,
% 6.74/4.59 (inverse(a2) = double_divide(a2, identity)),
% 6.74/4.59 inference(unit_resolution,[status(thm)],[122, 17])).
% 6.74/4.59 tff(124,plain,
% 6.74/4.59 (double_divide(a2, identity) = inverse(a2)),
% 6.74/4.59 inference(symmetry,[status(thm)],[123])).
% 6.74/4.59 tff(125,plain,
% 6.74/4.59 (double_divide(a2, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))) = double_divide(a2, identity)),
% 6.74/4.59 inference(monotonicity,[status(thm)],[40])).
% 6.74/4.59 tff(126,plain,
% 6.74/4.59 (double_divide(a2, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))) = inverse(a2)),
% 6.74/4.59 inference(transitivity,[status(thm)],[125, 124])).
% 6.74/4.59 tff(127,plain,
% 6.74/4.59 (double_divide(a2, double_divide(a2, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))) = double_divide(a2, inverse(a2))),
% 6.74/4.59 inference(monotonicity,[status(thm)],[126])).
% 6.74/4.59 tff(128,plain,
% 6.74/4.59 (double_divide(a2, double_divide(a2, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))) = double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))),
% 6.74/4.59 inference(transitivity,[status(thm)],[127, 121, 33])).
% 6.74/4.59 tff(129,plain,
% 6.74/4.59 (double_divide(double_divide(a2, double_divide(a2, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)),
% 6.74/4.59 inference(monotonicity,[status(thm)],[128])).
% 6.74/4.59 tff(130,plain,
% 6.74/4.59 (double_divide(double_divide(a2, double_divide(a2, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity) = identity),
% 6.74/4.59 inference(transitivity,[status(thm)],[129, 85, 101, 100, 10])).
% 6.74/4.59 tff(131,plain,
% 6.74/4.59 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(a2, identity))), double_divide(double_divide(a2, double_divide(a2, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(a2, identity))), identity)),
% 6.74/4.59 inference(monotonicity,[status(thm)],[130])).
% 6.74/4.59 tff(132,plain,
% 6.74/4.59 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(a2, identity))), identity) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(a2, identity))), double_divide(double_divide(a2, double_divide(a2, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity))),
% 6.74/4.59 inference(symmetry,[status(thm)],[131])).
% 6.74/4.59 tff(133,plain,
% 6.74/4.59 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z)) | (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(a2, identity))), double_divide(double_divide(a2, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))),
% 6.74/4.59 inference(quant_inst,[status(thm)],[])).
% 6.74/4.59 tff(134,plain,
% 6.74/4.59 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(a2, identity))), double_divide(double_divide(a2, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))),
% 6.74/4.59 inference(unit_resolution,[status(thm)],[133, 27])).
% 6.74/4.59 tff(135,plain,
% 6.74/4.59 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))) = double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))),
% 6.74/4.59 inference(transitivity,[status(thm)],[47, 85, 101, 100, 10, 33])).
% 6.74/4.59 tff(136,plain,
% 6.74/4.59 (double_divide(a2, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))) = double_divide(a2, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))),
% 6.74/4.59 inference(monotonicity,[status(thm)],[135])).
% 6.74/4.59 tff(137,plain,
% 6.74/4.59 (double_divide(double_divide(a2, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity) = double_divide(double_divide(a2, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))), identity)),
% 6.74/4.59 inference(monotonicity,[status(thm)],[136])).
% 6.74/4.59 tff(138,plain,
% 6.74/4.59 (double_divide(double_divide(a2, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))), identity) = double_divide(double_divide(a2, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)),
% 6.74/4.59 inference(symmetry,[status(thm)],[137])).
% 6.74/4.59 tff(139,plain,
% 6.74/4.59 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(a2, identity))), double_divide(double_divide(a2, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))), identity)) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(a2, identity))), double_divide(double_divide(a2, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity))),
% 6.74/4.59 inference(monotonicity,[status(thm)],[138])).
% 6.74/4.59 tff(140,plain,
% 6.74/4.59 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(a2, identity))), double_divide(double_divide(a2, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))), identity)) = identity),
% 6.74/4.59 inference(transitivity,[status(thm)],[139, 134, 40])).
% 6.74/4.59 tff(141,plain,
% 6.74/4.59 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(a2, identity))), double_divide(double_divide(a2, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))), identity))) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)),
% 6.74/4.59 inference(monotonicity,[status(thm)],[140])).
% 6.74/4.59 tff(142,plain,
% 6.74/4.59 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(a2, identity))), double_divide(double_divide(a2, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))), identity))) = double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))),
% 6.74/4.59 inference(transitivity,[status(thm)],[141, 85, 101, 100, 10, 33])).
% 6.74/4.59 tff(143,plain,
% 6.74/4.59 (double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(a2, identity))), double_divide(double_divide(a2, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))), identity))), identity) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)),
% 6.74/4.59 inference(monotonicity,[status(thm)],[142])).
% 6.74/4.59 tff(144,plain,
% 6.74/4.59 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity) = double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(a2, identity))), double_divide(double_divide(a2, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))), identity))), identity)),
% 6.74/4.59 inference(symmetry,[status(thm)],[143])).
% 6.74/4.59 tff(145,plain,
% 6.74/4.59 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), inverse(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity))), identity))),
% 6.74/4.59 inference(symmetry,[status(thm)],[100])).
% 6.74/4.59 tff(146,plain,
% 6.74/4.59 (double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))) = double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(a2, identity))), double_divide(double_divide(a2, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))), identity))), identity)),
% 6.74/4.59 inference(transitivity,[status(thm)],[40, 9, 145, 88, 86, 144])).
% 6.74/4.59 tff(147,plain,
% 6.74/4.59 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(a2, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(a2, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(a2, identity))), double_divide(double_divide(a2, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))), identity))), identity))),
% 6.74/4.59 inference(monotonicity,[status(thm)],[146])).
% 6.74/4.59 tff(148,plain,
% 6.74/4.59 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(a2, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(a2, identity))), double_divide(double_divide(a2, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))), identity))), identity)) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(a2, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))),
% 6.74/4.59 inference(symmetry,[status(thm)],[147])).
% 6.74/4.59 tff(149,plain,
% 6.74/4.59 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z)) | (double_divide(double_divide(identity, double_divide(double_divide(double_divide(a2, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(a2, identity))), double_divide(double_divide(a2, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))), identity))), identity)) = double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(a2, identity))))),
% 6.74/4.59 inference(quant_inst,[status(thm)],[])).
% 6.74/4.59 tff(150,plain,
% 6.74/4.59 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(a2, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(a2, identity))), double_divide(double_divide(a2, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))), identity))), identity)) = double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(a2, identity)))),
% 6.74/4.59 inference(unit_resolution,[status(thm)],[149, 27])).
% 6.74/4.59 tff(151,plain,
% 6.74/4.59 (double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(a2, identity))) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(a2, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(a2, identity))), double_divide(double_divide(a2, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))), identity))), identity))),
% 6.74/4.60 inference(symmetry,[status(thm)],[150])).
% 6.74/4.60 tff(152,plain,
% 6.74/4.60 (double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(a2, identity))) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(a2, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))),
% 6.74/4.60 inference(transitivity,[status(thm)],[151, 148])).
% 6.74/4.60 tff(153,plain,
% 6.74/4.60 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(a2, identity))), identity) = double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(a2, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))), identity)),
% 6.74/4.60 inference(monotonicity,[status(thm)],[152])).
% 6.74/4.60 tff(154,plain,
% 6.74/4.60 (double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(a2, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))), identity) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(a2, identity))), identity)),
% 6.74/4.60 inference(symmetry,[status(thm)],[153])).
% 6.74/4.60 tff(155,plain,
% 6.74/4.60 ((~![Y: $i, X: $i] : (multiply(X, Y) = double_divide(double_divide(Y, X), identity))) | (multiply(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(identity, double_divide(double_divide(double_divide(a2, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)))) = double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(a2, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))), identity))),
% 6.74/4.60 inference(quant_inst,[status(thm)],[])).
% 6.74/4.60 tff(156,plain,
% 6.74/4.60 (multiply(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(identity, double_divide(double_divide(double_divide(a2, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)))) = double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(a2, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))), identity)),
% 6.74/4.60 inference(unit_resolution,[status(thm)],[155, 113])).
% 6.74/4.60 tff(157,plain,
% 6.74/4.60 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z)) | (double_divide(double_divide(identity, double_divide(double_divide(a2, identity), double_divide(double_divide(a2, identity), identity))), double_divide(double_divide(double_divide(a2, identity), double_divide(a2, double_divide(a2, identity))), identity)) = a2)),
% 6.74/4.60 inference(quant_inst,[status(thm)],[])).
% 6.74/4.60 tff(158,plain,
% 6.74/4.60 (double_divide(double_divide(identity, double_divide(double_divide(a2, identity), double_divide(double_divide(a2, identity), identity))), double_divide(double_divide(double_divide(a2, identity), double_divide(a2, double_divide(a2, identity))), identity)) = a2),
% 6.74/4.60 inference(unit_resolution,[status(thm)],[157, 27])).
% 6.74/4.60 tff(159,plain,
% 6.74/4.60 (identity = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)),
% 6.74/4.60 inference(transitivity,[status(thm)],[9, 145, 88, 86])).
% 6.74/4.60 tff(160,plain,
% 6.74/4.60 (double_divide(a2, double_divide(a2, identity)) = double_divide(a2, inverse(a2))),
% 6.74/4.60 inference(monotonicity,[status(thm)],[124])).
% 6.74/4.60 tff(161,plain,
% 6.74/4.60 (double_divide(a2, double_divide(a2, identity)) = identity),
% 6.74/4.60 inference(transitivity,[status(thm)],[160, 121])).
% 6.74/4.60 tff(162,plain,
% 6.74/4.60 (double_divide(a2, identity) = double_divide(a2, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))),
% 6.74/4.60 inference(symmetry,[status(thm)],[125])).
% 6.74/4.60 tff(163,plain,
% 6.74/4.60 (double_divide(double_divide(a2, identity), double_divide(a2, double_divide(a2, identity))) = double_divide(double_divide(a2, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))), identity)),
% 6.74/4.60 inference(monotonicity,[status(thm)],[162, 161])).
% 6.74/4.60 tff(164,plain,
% 6.74/4.60 (double_divide(double_divide(double_divide(a2, identity), double_divide(a2, double_divide(a2, identity))), identity) = double_divide(double_divide(double_divide(a2, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))),
% 6.74/4.60 inference(monotonicity,[status(thm)],[163, 159])).
% 6.74/4.60 tff(165,plain,
% 6.74/4.60 (double_divide(double_divide(double_divide(a2, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)) = double_divide(double_divide(double_divide(a2, identity), double_divide(a2, double_divide(a2, identity))), identity)),
% 6.74/4.60 inference(symmetry,[status(thm)],[164])).
% 6.74/4.60 tff(166,plain,
% 6.74/4.60 ((~![X: $i] : (identity = double_divide(X, inverse(X)))) | (identity = double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))))),
% 6.74/4.60 inference(quant_inst,[status(thm)],[])).
% 6.74/4.60 tff(167,plain,
% 6.74/4.60 (identity = double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))),
% 6.74/4.60 inference(unit_resolution,[status(thm)],[166, 7])).
% 6.74/4.60 tff(168,plain,
% 6.74/4.60 (double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity))) = identity),
% 6.74/4.60 inference(symmetry,[status(thm)],[167])).
% 6.74/4.60 tff(169,plain,
% 6.74/4.60 (inverse(double_divide(a2, identity)) = inverse(double_divide(a2, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))))),
% 6.74/4.60 inference(monotonicity,[status(thm)],[162])).
% 6.74/4.60 tff(170,plain,
% 6.74/4.60 (inverse(double_divide(a2, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))) = inverse(double_divide(a2, identity))),
% 6.74/4.60 inference(symmetry,[status(thm)],[169])).
% 6.74/4.60 tff(171,plain,
% 6.74/4.60 ((~![X: $i] : (inverse(X) = double_divide(X, identity))) | (inverse(double_divide(a2, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))) = double_divide(double_divide(a2, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))), identity))),
% 6.74/4.60 inference(quant_inst,[status(thm)],[])).
% 6.74/4.60 tff(172,plain,
% 6.74/4.60 (inverse(double_divide(a2, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))) = double_divide(double_divide(a2, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))), identity)),
% 6.74/4.60 inference(unit_resolution,[status(thm)],[171, 17])).
% 6.74/4.60 tff(173,plain,
% 6.74/4.60 (double_divide(double_divide(a2, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))), identity) = inverse(double_divide(a2, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))))),
% 6.74/4.60 inference(symmetry,[status(thm)],[172])).
% 6.74/4.60 tff(174,plain,
% 6.74/4.60 (double_divide(double_divide(a2, identity), identity) = double_divide(double_divide(a2, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))), identity)),
% 6.74/4.60 inference(monotonicity,[status(thm)],[162])).
% 6.74/4.60 tff(175,plain,
% 6.74/4.60 (double_divide(double_divide(a2, identity), identity) = inverse(double_divide(a2, identity))),
% 6.74/4.60 inference(transitivity,[status(thm)],[174, 173, 170])).
% 6.74/4.60 tff(176,plain,
% 6.74/4.60 (double_divide(double_divide(a2, identity), double_divide(double_divide(a2, identity), identity)) = double_divide(double_divide(a2, identity), inverse(double_divide(a2, identity)))),
% 6.74/4.60 inference(monotonicity,[status(thm)],[175])).
% 6.74/4.60 tff(177,plain,
% 6.74/4.60 (double_divide(double_divide(a2, identity), double_divide(double_divide(a2, identity), identity)) = identity),
% 6.74/4.60 inference(transitivity,[status(thm)],[176, 168])).
% 6.74/4.60 tff(178,plain,
% 6.74/4.60 (double_divide(identity, double_divide(double_divide(a2, identity), double_divide(double_divide(a2, identity), identity))) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)),
% 6.74/4.60 inference(monotonicity,[status(thm)],[33, 177])).
% 6.74/4.60 tff(179,plain,
% 6.74/4.60 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity) = double_divide(identity, double_divide(double_divide(a2, identity), double_divide(double_divide(a2, identity), identity)))),
% 6.74/4.60 inference(symmetry,[status(thm)],[178])).
% 6.74/4.60 tff(180,plain,
% 6.74/4.60 (identity = double_divide(identity, double_divide(double_divide(a2, identity), double_divide(double_divide(a2, identity), identity)))),
% 6.74/4.60 inference(transitivity,[status(thm)],[9, 145, 88, 86, 179])).
% 6.74/4.60 tff(181,plain,
% 6.74/4.60 (double_divide(identity, double_divide(double_divide(double_divide(a2, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))) = double_divide(double_divide(identity, double_divide(double_divide(a2, identity), double_divide(double_divide(a2, identity), identity))), double_divide(double_divide(double_divide(a2, identity), double_divide(a2, double_divide(a2, identity))), identity))),
% 6.74/4.60 inference(monotonicity,[status(thm)],[180, 165])).
% 6.74/4.60 tff(182,plain,
% 6.74/4.60 (double_divide(identity, double_divide(double_divide(double_divide(a2, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))) = a2),
% 6.74/4.60 inference(transitivity,[status(thm)],[181, 158])).
% 6.77/4.60 tff(183,plain,
% 6.77/4.60 (multiply(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(identity, double_divide(double_divide(double_divide(a2, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)))) = multiply(identity, a2)),
% 6.77/4.60 inference(monotonicity,[status(thm)],[40, 182])).
% 6.77/4.60 tff(184,plain,
% 6.77/4.60 (multiply(identity, a2) = multiply(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(identity, double_divide(double_divide(double_divide(a2, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))))),
% 6.77/4.60 inference(symmetry,[status(thm)],[183])).
% 6.77/4.60 tff(185,plain,
% 6.77/4.60 (multiply(identity, a2) = a2),
% 6.77/4.60 inference(transitivity,[status(thm)],[184, 156, 154, 132, 118])).
% 6.77/4.60 tff(186,assumption,(~(multiply(identity, a2) = a2)), introduced(assumption)).
% 6.77/4.60 tff(187,plain,
% 6.77/4.60 ($false),
% 6.77/4.60 inference(unit_resolution,[status(thm)],[186, 185])).
% 6.77/4.60 tff(188,plain,(multiply(identity, a2) = a2), inference(lemma,lemma(discharge,[]))).
% 6.77/4.60 tff(189,plain,
% 6.77/4.60 ((~![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))),
% 6.77/4.60 inference(quant_inst,[status(thm)],[])).
% 6.77/4.60 tff(190,plain,
% 6.77/4.60 (multiply(a3, multiply(b3, c3)) = double_divide(double_divide(multiply(b3, c3), a3), identity)),
% 6.77/4.60 inference(unit_resolution,[status(thm)],[189, 113])).
% 6.77/4.60 tff(191,plain,
% 6.77/4.60 (double_divide(double_divide(multiply(b3, c3), a3), identity) = multiply(a3, multiply(b3, c3))),
% 6.77/4.60 inference(symmetry,[status(thm)],[190])).
% 6.77/4.60 tff(192,plain,
% 6.77/4.60 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z)) | (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), identity))), double_divide(double_divide(multiply(b3, c3), a3), identity))), identity)) = double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), identity))))),
% 6.77/4.60 inference(quant_inst,[status(thm)],[])).
% 6.77/4.60 tff(193,plain,
% 6.77/4.60 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), identity))), double_divide(double_divide(multiply(b3, c3), a3), identity))), identity)) = double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), identity)))),
% 6.77/4.60 inference(unit_resolution,[status(thm)],[192, 27])).
% 6.77/4.60 tff(194,plain,
% 6.77/4.60 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z)) | (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))),
% 6.77/4.60 inference(quant_inst,[status(thm)],[])).
% 6.77/4.60 tff(195,plain,
% 6.77/4.60 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))),
% 6.77/4.60 inference(unit_resolution,[status(thm)],[194, 27])).
% 6.77/4.60 tff(196,plain,
% 6.77/4.60 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z)) | (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = double_divide(multiply(b3, c3), a3))),
% 6.77/4.60 inference(quant_inst,[status(thm)],[])).
% 6.77/4.60 tff(197,plain,
% 6.77/4.60 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = double_divide(multiply(b3, c3), a3)),
% 6.77/4.60 inference(unit_resolution,[status(thm)],[196, 27])).
% 6.77/4.60 tff(198,plain,
% 6.77/4.60 ((~![X: $i] : (inverse(X) = double_divide(X, identity))) | (inverse(double_divide(multiply(b3, c3), a3)) = double_divide(double_divide(multiply(b3, c3), a3), identity))),
% 6.77/4.60 inference(quant_inst,[status(thm)],[])).
% 6.77/4.60 tff(199,plain,
% 6.77/4.60 (inverse(double_divide(multiply(b3, c3), a3)) = double_divide(double_divide(multiply(b3, c3), a3), identity)),
% 6.77/4.60 inference(unit_resolution,[status(thm)],[198, 17])).
% 6.77/4.60 tff(200,plain,
% 6.77/4.60 (double_divide(double_divide(multiply(b3, c3), a3), identity) = inverse(double_divide(multiply(b3, c3), a3))),
% 6.77/4.60 inference(symmetry,[status(thm)],[199])).
% 6.77/4.60 tff(201,plain,
% 6.77/4.60 (double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))) = double_divide(double_divide(multiply(b3, c3), a3), identity)),
% 6.77/4.60 inference(monotonicity,[status(thm)],[40])).
% 6.77/4.60 tff(202,plain,
% 6.77/4.60 (double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))) = inverse(double_divide(multiply(b3, c3), a3))),
% 6.77/4.60 inference(transitivity,[status(thm)],[201, 200])).
% 6.77/4.60 tff(203,plain,
% 6.77/4.60 (double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))) = double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))),
% 6.77/4.60 inference(monotonicity,[status(thm)],[202])).
% 6.77/4.60 tff(204,plain,
% 6.77/4.60 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)),
% 6.77/4.60 inference(monotonicity,[status(thm)],[203])).
% 6.77/4.60 tff(205,plain,
% 6.77/4.60 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)),
% 6.77/4.60 inference(symmetry,[status(thm)],[204])).
% 6.77/4.60 tff(206,plain,
% 6.77/4.60 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)),
% 6.77/4.60 inference(transitivity,[status(thm)],[47, 205])).
% 6.77/4.60 tff(207,plain,
% 6.77/4.60 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity))),
% 6.77/4.60 inference(monotonicity,[status(thm)],[206])).
% 6.77/4.60 tff(208,plain,
% 6.77/4.60 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))) = double_divide(multiply(b3, c3), a3)),
% 6.77/4.61 inference(transitivity,[status(thm)],[207, 197])).
% 6.77/4.61 tff(209,plain,
% 6.77/4.61 (double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity) = double_divide(double_divide(multiply(b3, c3), a3), identity)),
% 6.77/4.61 inference(monotonicity,[status(thm)],[208])).
% 6.77/4.61 tff(210,plain,
% 6.77/4.61 (double_divide(double_divide(multiply(b3, c3), a3), identity) = double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)),
% 6.77/4.61 inference(symmetry,[status(thm)],[209])).
% 6.77/4.61 tff(211,plain,
% 6.77/4.61 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), identity))), double_divide(double_divide(multiply(b3, c3), a3), identity)) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity))),
% 6.77/4.61 inference(monotonicity,[status(thm)],[210])).
% 6.77/4.61 tff(212,plain,
% 6.77/4.61 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), identity))), double_divide(double_divide(multiply(b3, c3), a3), identity)) = identity),
% 6.77/4.61 inference(transitivity,[status(thm)],[211, 195, 40])).
% 6.77/4.61 tff(213,plain,
% 6.77/4.61 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), identity))), double_divide(double_divide(multiply(b3, c3), a3), identity))) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)),
% 6.77/4.61 inference(monotonicity,[status(thm)],[212])).
% 6.77/4.61 tff(214,plain,
% 6.77/4.61 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), identity))), double_divide(double_divide(multiply(b3, c3), a3), identity))) = double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))),
% 6.77/4.61 inference(transitivity,[status(thm)],[213, 85, 101, 100, 10, 33])).
% 6.77/4.61 tff(215,plain,
% 6.77/4.61 (double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), identity))), double_divide(double_divide(multiply(b3, c3), a3), identity))), identity) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)),
% 6.77/4.61 inference(monotonicity,[status(thm)],[214])).
% 6.77/4.61 tff(216,plain,
% 6.77/4.61 (double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), identity))), double_divide(double_divide(multiply(b3, c3), a3), identity))), identity) = identity),
% 6.77/4.61 inference(transitivity,[status(thm)],[215, 85, 101, 100, 10])).
% 6.77/4.61 tff(217,plain,
% 6.77/4.61 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), identity))), double_divide(double_divide(multiply(b3, c3), a3), identity))), identity)) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity)),
% 6.77/4.61 inference(monotonicity,[status(thm)],[216])).
% 6.77/4.61 tff(218,plain,
% 6.77/4.61 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), identity))), double_divide(double_divide(multiply(b3, c3), a3), identity))), identity))),
% 6.77/4.61 inference(symmetry,[status(thm)],[217])).
% 6.77/4.61 tff(219,plain,
% 6.77/4.61 (double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(multiply(b3, c3), a3), identity)) = double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))),
% 6.77/4.61 inference(monotonicity,[status(thm)],[200])).
% 6.77/4.61 tff(220,plain,
% 6.77/4.61 (double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(multiply(b3, c3), a3), identity)) = identity),
% 6.77/4.61 inference(transitivity,[status(thm)],[219, 40])).
% 6.77/4.61 tff(221,plain,
% 6.77/4.61 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(multiply(b3, c3), a3), identity))) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)),
% 6.77/4.61 inference(monotonicity,[status(thm)],[220])).
% 6.77/4.61 tff(222,plain,
% 6.77/4.61 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(multiply(b3, c3), a3), identity))) = double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))),
% 6.77/4.61 inference(transitivity,[status(thm)],[221, 85, 101, 100, 10, 33])).
% 6.77/4.61 tff(223,plain,
% 6.77/4.61 (double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(multiply(b3, c3), a3), identity))), identity) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)),
% 6.77/4.61 inference(monotonicity,[status(thm)],[222])).
% 6.77/4.61 tff(224,plain,
% 6.77/4.61 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity) = double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(multiply(b3, c3), a3), identity))), identity)),
% 6.77/4.61 inference(symmetry,[status(thm)],[223])).
% 6.77/4.61 tff(225,plain,
% 6.77/4.61 (identity = double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(multiply(b3, c3), a3), identity))), identity)),
% 6.77/4.61 inference(transitivity,[status(thm)],[9, 145, 88, 86, 224])).
% 6.77/4.61 tff(226,plain,
% 6.77/4.61 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(multiply(b3, c3), a3), identity))), identity))),
% 6.77/4.61 inference(monotonicity,[status(thm)],[225])).
% 6.77/4.61 tff(227,plain,
% 6.77/4.61 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(multiply(b3, c3), a3), identity))), identity)) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity)),
% 6.77/4.61 inference(symmetry,[status(thm)],[226])).
% 6.77/4.61 tff(228,plain,
% 6.77/4.61 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z)) | (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(multiply(b3, c3), a3), identity))), identity)) = double_divide(multiply(b3, c3), a3))),
% 6.77/4.61 inference(quant_inst,[status(thm)],[])).
% 6.77/4.61 tff(229,plain,
% 6.77/4.61 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(multiply(b3, c3), a3), identity))), identity)) = double_divide(multiply(b3, c3), a3)),
% 6.77/4.61 inference(unit_resolution,[status(thm)],[228, 27])).
% 6.77/4.61 tff(230,plain,
% 6.77/4.61 (double_divide(multiply(b3, c3), a3) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(multiply(b3, c3), a3), identity))), identity))),
% 6.77/4.61 inference(symmetry,[status(thm)],[229])).
% 6.77/4.61 tff(231,plain,
% 6.77/4.61 (double_divide(multiply(b3, c3), a3) = double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), identity)))),
% 6.77/4.61 inference(transitivity,[status(thm)],[230, 227, 218, 193])).
% 6.77/4.61 tff(232,plain,
% 6.77/4.61 (double_divide(double_divide(multiply(b3, c3), a3), identity) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), identity))), identity)),
% 6.77/4.61 inference(monotonicity,[status(thm)],[231])).
% 6.77/4.61 tff(233,plain,
% 6.77/4.61 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), identity))), identity) = double_divide(double_divide(multiply(b3, c3), a3), identity)),
% 6.77/4.61 inference(symmetry,[status(thm)],[232])).
% 6.77/4.61 tff(234,plain,
% 6.77/4.61 ((~![X: $i] : (identity = double_divide(X, inverse(X)))) | (identity = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), inverse(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))))))),
% 6.77/4.61 inference(quant_inst,[status(thm)],[])).
% 6.77/4.61 tff(235,plain,
% 6.77/4.61 (identity = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), inverse(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity)))))),
% 6.77/4.61 inference(unit_resolution,[status(thm)],[234, 7])).
% 6.77/4.61 tff(236,plain,
% 6.77/4.61 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), inverse(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))))) = identity),
% 6.77/4.61 inference(symmetry,[status(thm)],[235])).
% 6.77/4.61 tff(237,plain,
% 6.77/4.61 ((~![X: $i] : (inverse(X) = double_divide(X, identity))) | (inverse(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity)))) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), identity))),
% 6.77/4.61 inference(quant_inst,[status(thm)],[])).
% 6.77/4.61 tff(238,plain,
% 6.77/4.61 (inverse(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity)))) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), identity)),
% 6.77/4.61 inference(unit_resolution,[status(thm)],[237, 17])).
% 6.77/4.61 tff(239,plain,
% 6.77/4.61 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), identity) = inverse(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))))),
% 6.77/4.61 inference(symmetry,[status(thm)],[238])).
% 6.77/4.61 tff(240,plain,
% 6.77/4.61 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), identity)),
% 6.77/4.61 inference(monotonicity,[status(thm)],[40])).
% 6.77/4.61 tff(241,plain,
% 6.77/4.61 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))) = inverse(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))))),
% 6.77/4.61 inference(transitivity,[status(thm)],[240, 239])).
% 6.77/4.61 tff(242,plain,
% 6.77/4.61 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), inverse(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity)))))),
% 6.77/4.61 inference(monotonicity,[status(thm)],[241])).
% 6.77/4.61 tff(243,plain,
% 6.77/4.61 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))) = double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))),
% 6.77/4.61 inference(transitivity,[status(thm)],[242, 236, 33])).
% 6.77/4.61 tff(244,plain,
% 6.77/4.61 (double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)),
% 6.77/4.61 inference(monotonicity,[status(thm)],[243])).
% 6.77/4.61 tff(245,plain,
% 6.77/4.61 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity) = double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)),
% 6.77/4.61 inference(symmetry,[status(thm)],[244])).
% 6.77/4.61 tff(246,plain,
% 6.77/4.61 (identity = double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)),
% 6.77/4.61 inference(transitivity,[status(thm)],[9, 145, 88, 86, 245])).
% 6.77/4.61 tff(247,plain,
% 6.77/4.61 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), identity))), identity) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity))),
% 6.77/4.62 inference(monotonicity,[status(thm)],[246])).
% 6.77/4.62 tff(248,plain,
% 6.77/4.62 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), identity))), identity)),
% 6.77/4.62 inference(symmetry,[status(thm)],[247])).
% 6.77/4.62 tff(249,plain,
% 6.77/4.62 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z)) | (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))))),
% 6.77/4.62 inference(quant_inst,[status(thm)],[])).
% 6.77/4.62 tff(250,plain,
% 6.77/4.62 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity)))),
% 6.77/4.62 inference(unit_resolution,[status(thm)],[249, 27])).
% 6.77/4.62 tff(251,plain,
% 6.77/4.62 (double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity))),
% 6.77/4.62 inference(symmetry,[status(thm)],[250])).
% 6.77/4.62 tff(252,plain,
% 6.77/4.62 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z)) | (double_divide(double_divide(identity, double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(c3, b3), identity))), double_divide(double_divide(double_divide(c3, b3), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(multiply(b3, c3), a3))), identity)) = double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))))),
% 6.77/4.62 inference(quant_inst,[status(thm)],[])).
% 6.77/4.62 tff(253,plain,
% 6.77/4.62 (double_divide(double_divide(identity, double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(c3, b3), identity))), double_divide(double_divide(double_divide(c3, b3), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(multiply(b3, c3), a3))), identity)) = double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity)))),
% 6.77/4.62 inference(unit_resolution,[status(thm)],[252, 27])).
% 6.77/4.62 tff(254,plain,
% 6.77/4.62 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z)) | (double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), double_divide(double_divide(c3, b3), identity))), identity)) = double_divide(c3, b3))),
% 6.77/4.62 inference(quant_inst,[status(thm)],[])).
% 6.77/4.62 tff(255,plain,
% 6.77/4.62 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), double_divide(double_divide(c3, b3), identity))), identity)) = double_divide(c3, b3)),
% 6.77/4.62 inference(unit_resolution,[status(thm)],[254, 27])).
% 6.77/4.62 tff(256,plain,
% 6.77/4.62 ((~![X: $i] : (identity = double_divide(X, inverse(X)))) | (identity = double_divide(double_divide(c3, b3), inverse(double_divide(c3, b3))))),
% 6.77/4.62 inference(quant_inst,[status(thm)],[])).
% 6.77/4.62 tff(257,plain,
% 6.77/4.62 (identity = double_divide(double_divide(c3, b3), inverse(double_divide(c3, b3)))),
% 6.77/4.62 inference(unit_resolution,[status(thm)],[256, 7])).
% 6.77/4.62 tff(258,plain,
% 6.77/4.62 (double_divide(double_divide(c3, b3), inverse(double_divide(c3, b3))) = identity),
% 6.77/4.62 inference(symmetry,[status(thm)],[257])).
% 6.77/4.62 tff(259,plain,
% 6.77/4.62 ((~![X: $i] : (inverse(X) = double_divide(X, identity))) | (inverse(double_divide(c3, b3)) = double_divide(double_divide(c3, b3), identity))),
% 6.77/4.62 inference(quant_inst,[status(thm)],[])).
% 6.77/4.62 tff(260,plain,
% 6.77/4.62 (inverse(double_divide(c3, b3)) = double_divide(double_divide(c3, b3), identity)),
% 6.77/4.62 inference(unit_resolution,[status(thm)],[259, 17])).
% 6.77/4.62 tff(261,plain,
% 6.77/4.62 (double_divide(double_divide(c3, b3), identity) = inverse(double_divide(c3, b3))),
% 6.77/4.62 inference(symmetry,[status(thm)],[260])).
% 6.77/4.62 tff(262,plain,
% 6.77/4.62 (double_divide(double_divide(c3, b3), double_divide(double_divide(c3, b3), identity)) = double_divide(double_divide(c3, b3), inverse(double_divide(c3, b3)))),
% 6.77/4.62 inference(monotonicity,[status(thm)],[261])).
% 6.77/4.62 tff(263,plain,
% 6.77/4.62 (double_divide(double_divide(c3, b3), double_divide(double_divide(c3, b3), identity)) = identity),
% 6.77/4.62 inference(transitivity,[status(thm)],[262, 258])).
% 6.77/4.62 tff(264,plain,
% 6.77/4.62 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), double_divide(double_divide(c3, b3), identity))) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)),
% 6.77/4.62 inference(monotonicity,[status(thm)],[263])).
% 6.77/4.62 tff(265,plain,
% 6.77/4.62 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), double_divide(double_divide(c3, b3), identity))) = double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))),
% 6.77/4.62 inference(transitivity,[status(thm)],[264, 85, 101, 100, 10, 33])).
% 6.77/4.62 tff(266,plain,
% 6.77/4.62 (double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), double_divide(double_divide(c3, b3), identity))), identity) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)),
% 6.77/4.62 inference(monotonicity,[status(thm)],[265])).
% 6.77/4.62 tff(267,plain,
% 6.77/4.62 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity) = double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), double_divide(double_divide(c3, b3), identity))), identity)),
% 6.77/4.62 inference(symmetry,[status(thm)],[266])).
% 6.77/4.62 tff(268,plain,
% 6.77/4.62 (identity = double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), double_divide(double_divide(c3, b3), identity))), identity)),
% 6.77/4.62 inference(transitivity,[status(thm)],[9, 145, 88, 86, 267])).
% 6.77/4.62 tff(269,plain,
% 6.77/4.62 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), double_divide(double_divide(c3, b3), identity))), identity))),
% 6.77/4.62 inference(monotonicity,[status(thm)],[268])).
% 6.77/4.62 tff(270,plain,
% 6.77/4.62 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z)) | (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))),
% 6.77/4.62 inference(quant_inst,[status(thm)],[])).
% 6.77/4.62 tff(271,plain,
% 6.77/4.62 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))),
% 6.77/4.62 inference(unit_resolution,[status(thm)],[270, 27])).
% 6.77/4.62 tff(272,plain,
% 6.77/4.62 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z)) | (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), double_divide(double_divide(double_divide(c3, b3), double_divide(double_divide(c3, b3), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = double_divide(c3, b3))),
% 6.77/4.62 inference(quant_inst,[status(thm)],[])).
% 6.77/4.62 tff(273,plain,
% 6.77/4.62 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), double_divide(double_divide(double_divide(c3, b3), double_divide(double_divide(c3, b3), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = double_divide(c3, b3)),
% 6.77/4.62 inference(unit_resolution,[status(thm)],[272, 27])).
% 6.77/4.62 tff(274,plain,
% 6.77/4.62 (double_divide(double_divide(c3, b3), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))) = double_divide(double_divide(c3, b3), identity)),
% 6.77/4.62 inference(monotonicity,[status(thm)],[40])).
% 6.77/4.62 tff(275,plain,
% 6.77/4.62 (double_divide(double_divide(c3, b3), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))) = inverse(double_divide(c3, b3))),
% 6.77/4.62 inference(transitivity,[status(thm)],[274, 261])).
% 6.77/4.62 tff(276,plain,
% 6.77/4.62 (double_divide(double_divide(c3, b3), double_divide(double_divide(c3, b3), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))) = double_divide(double_divide(c3, b3), inverse(double_divide(c3, b3)))),
% 6.77/4.62 inference(monotonicity,[status(thm)],[275])).
% 6.77/4.62 tff(277,plain,
% 6.77/4.62 (double_divide(double_divide(c3, b3), double_divide(double_divide(c3, b3), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))) = double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))),
% 6.77/4.62 inference(transitivity,[status(thm)],[276, 258, 33])).
% 6.77/4.62 tff(278,plain,
% 6.77/4.62 (double_divide(double_divide(double_divide(c3, b3), double_divide(double_divide(c3, b3), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)),
% 6.77/4.62 inference(monotonicity,[status(thm)],[277])).
% 6.77/4.62 tff(279,plain,
% 6.77/4.62 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity) = double_divide(double_divide(double_divide(c3, b3), double_divide(double_divide(c3, b3), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)),
% 6.77/4.62 inference(symmetry,[status(thm)],[278])).
% 6.77/4.62 tff(280,plain,
% 6.77/4.62 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))) = double_divide(double_divide(double_divide(c3, b3), double_divide(double_divide(c3, b3), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)),
% 6.77/4.62 inference(transitivity,[status(thm)],[47, 279])).
% 6.77/4.62 tff(281,plain,
% 6.77/4.62 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), double_divide(double_divide(double_divide(c3, b3), double_divide(double_divide(c3, b3), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity))),
% 6.77/4.62 inference(monotonicity,[status(thm)],[280])).
% 6.77/4.62 tff(282,plain,
% 6.77/4.62 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))) = double_divide(c3, b3)),
% 6.77/4.62 inference(transitivity,[status(thm)],[281, 273])).
% 6.77/4.62 tff(283,plain,
% 6.77/4.62 (double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity) = double_divide(double_divide(c3, b3), identity)),
% 6.77/4.62 inference(monotonicity,[status(thm)],[282])).
% 6.77/4.62 tff(284,plain,
% 6.77/4.62 (double_divide(double_divide(c3, b3), identity) = double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)),
% 6.77/4.62 inference(symmetry,[status(thm)],[283])).
% 6.77/4.62 tff(285,plain,
% 6.77/4.62 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), identity))), double_divide(double_divide(c3, b3), identity)) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity))),
% 6.77/4.62 inference(monotonicity,[status(thm)],[284])).
% 6.77/4.62 tff(286,plain,
% 6.77/4.62 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), identity))), double_divide(double_divide(c3, b3), identity)) = identity),
% 6.77/4.62 inference(transitivity,[status(thm)],[285, 271, 40])).
% 6.77/4.62 tff(287,plain,
% 6.77/4.62 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), identity))), double_divide(double_divide(c3, b3), identity))) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)),
% 6.77/4.62 inference(monotonicity,[status(thm)],[286])).
% 6.77/4.62 tff(288,plain,
% 6.77/4.62 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), identity))), double_divide(double_divide(c3, b3), identity))) = double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))),
% 6.77/4.63 inference(transitivity,[status(thm)],[287, 85, 101, 100, 10, 33])).
% 6.77/4.63 tff(289,plain,
% 6.77/4.63 (double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), identity))), double_divide(double_divide(c3, b3), identity))), identity) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)),
% 6.77/4.63 inference(monotonicity,[status(thm)],[288])).
% 6.77/4.63 tff(290,plain,
% 6.77/4.63 (double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), identity))), double_divide(double_divide(c3, b3), identity))), identity) = identity),
% 6.77/4.63 inference(transitivity,[status(thm)],[289, 85, 101, 100, 10])).
% 6.77/4.63 tff(291,plain,
% 6.77/4.63 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), identity))), double_divide(double_divide(c3, b3), identity))), identity)) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity)),
% 6.77/4.63 inference(monotonicity,[status(thm)],[290])).
% 6.77/4.63 tff(292,plain,
% 6.77/4.63 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z)) | (double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), identity))), double_divide(double_divide(c3, b3), identity))), identity)) = double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), identity))))),
% 6.77/4.63 inference(quant_inst,[status(thm)],[])).
% 6.77/4.63 tff(293,plain,
% 6.77/4.63 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), identity))), double_divide(double_divide(c3, b3), identity))), identity)) = double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), identity)))),
% 6.77/4.63 inference(unit_resolution,[status(thm)],[292, 27])).
% 6.77/4.63 tff(294,plain,
% 6.77/4.63 (double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), identity))) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), identity))), double_divide(double_divide(c3, b3), identity))), identity))),
% 6.77/4.63 inference(symmetry,[status(thm)],[293])).
% 6.77/4.63 tff(295,plain,
% 6.77/4.63 (double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), identity))) = double_divide(c3, b3)),
% 6.77/4.63 inference(transitivity,[status(thm)],[294, 291, 269, 255])).
% 6.77/4.63 tff(296,plain,
% 6.77/4.63 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), identity))), identity) = double_divide(double_divide(c3, b3), identity)),
% 6.77/4.63 inference(monotonicity,[status(thm)],[295])).
% 6.77/4.63 tff(297,plain,
% 6.77/4.63 ((~![X: $i] : (identity = double_divide(X, inverse(X)))) | (identity = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), inverse(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))))))),
% 6.77/4.63 inference(quant_inst,[status(thm)],[])).
% 6.77/4.63 tff(298,plain,
% 6.77/4.63 (identity = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), inverse(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity)))))),
% 6.77/4.63 inference(unit_resolution,[status(thm)],[297, 7])).
% 6.77/4.63 tff(299,plain,
% 6.77/4.63 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), inverse(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))))) = identity),
% 6.77/4.63 inference(symmetry,[status(thm)],[298])).
% 6.77/4.63 tff(300,plain,
% 6.77/4.63 ((~![X: $i] : (inverse(X) = double_divide(X, identity))) | (inverse(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity)))) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), identity))),
% 6.77/4.63 inference(quant_inst,[status(thm)],[])).
% 6.77/4.63 tff(301,plain,
% 6.77/4.63 (inverse(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity)))) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), identity)),
% 6.77/4.63 inference(unit_resolution,[status(thm)],[300, 17])).
% 6.77/4.63 tff(302,plain,
% 6.77/4.63 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), identity) = inverse(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))))),
% 6.77/4.63 inference(symmetry,[status(thm)],[301])).
% 6.77/4.63 tff(303,plain,
% 6.77/4.63 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), identity)),
% 6.77/4.63 inference(monotonicity,[status(thm)],[40])).
% 6.77/4.63 tff(304,plain,
% 6.77/4.63 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))) = inverse(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))))),
% 6.77/4.63 inference(transitivity,[status(thm)],[303, 302])).
% 6.77/4.63 tff(305,plain,
% 6.77/4.63 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), inverse(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity)))))),
% 6.77/4.63 inference(monotonicity,[status(thm)],[304])).
% 6.77/4.63 tff(306,plain,
% 6.77/4.63 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))) = double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))),
% 6.77/4.63 inference(transitivity,[status(thm)],[305, 299, 33])).
% 6.77/4.63 tff(307,plain,
% 6.77/4.63 (double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)),
% 6.77/4.63 inference(monotonicity,[status(thm)],[306])).
% 6.77/4.63 tff(308,plain,
% 6.77/4.63 (double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity) = identity),
% 6.77/4.63 inference(transitivity,[status(thm)],[307, 85, 101, 100, 10])).
% 6.77/4.63 tff(309,plain,
% 6.77/4.63 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), identity))), identity)),
% 6.77/4.63 inference(monotonicity,[status(thm)],[308])).
% 6.77/4.63 tff(310,plain,
% 6.77/4.63 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z)) | (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))))),
% 6.77/4.63 inference(quant_inst,[status(thm)],[])).
% 6.77/4.63 tff(311,plain,
% 6.77/4.63 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity)))),
% 6.77/4.63 inference(unit_resolution,[status(thm)],[310, 27])).
% 6.77/4.63 tff(312,plain,
% 6.77/4.63 (double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity))),
% 6.77/4.63 inference(symmetry,[status(thm)],[311])).
% 6.77/4.63 tff(313,plain,
% 6.77/4.63 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z)) | (double_divide(double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), double_divide(c3, b3))), identity)) = double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))))),
% 6.77/4.63 inference(quant_inst,[status(thm)],[])).
% 6.77/4.63 tff(314,plain,
% 6.77/4.63 (double_divide(double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), double_divide(c3, b3))), identity)) = double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity)))),
% 6.77/4.63 inference(unit_resolution,[status(thm)],[313, 27])).
% 6.77/4.63 tff(315,plain,
% 6.77/4.63 (identity = double_divide(double_divide(double_divide(c3, b3), double_divide(double_divide(c3, b3), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)),
% 6.77/4.63 inference(transitivity,[status(thm)],[9, 145, 88, 86, 279])).
% 6.77/4.63 tff(316,plain,
% 6.77/4.63 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), identity) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), double_divide(double_divide(double_divide(c3, b3), double_divide(double_divide(c3, b3), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity))),
% 6.77/4.63 inference(monotonicity,[status(thm)],[315])).
% 6.77/4.63 tff(317,plain,
% 6.77/4.63 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), double_divide(double_divide(double_divide(c3, b3), double_divide(double_divide(c3, b3), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), identity)),
% 6.77/4.63 inference(symmetry,[status(thm)],[316])).
% 6.77/4.63 tff(318,plain,
% 6.77/4.63 (double_divide(c3, b3) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), double_divide(double_divide(double_divide(c3, b3), double_divide(double_divide(c3, b3), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity))),
% 6.77/4.63 inference(symmetry,[status(thm)],[273])).
% 6.77/4.63 tff(319,plain,
% 6.77/4.63 (double_divide(c3, b3) = inverse(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))))),
% 6.77/4.63 inference(transitivity,[status(thm)],[318, 317, 302])).
% 6.77/4.63 tff(320,plain,
% 6.77/4.63 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), double_divide(c3, b3)) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), inverse(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity)))))),
% 6.77/4.63 inference(monotonicity,[status(thm)],[319])).
% 6.77/4.64 tff(321,plain,
% 6.77/4.64 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), double_divide(c3, b3)) = identity),
% 6.77/4.64 inference(transitivity,[status(thm)],[320, 299])).
% 6.77/4.64 tff(322,plain,
% 6.77/4.64 (double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), double_divide(c3, b3))) = double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity)),
% 6.77/4.64 inference(monotonicity,[status(thm)],[321])).
% 6.77/4.64 tff(323,plain,
% 6.77/4.64 (double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), double_divide(c3, b3))), identity) = double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))),
% 6.77/4.64 inference(monotonicity,[status(thm)],[322, 159])).
% 6.77/4.64 tff(324,plain,
% 6.77/4.64 (double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)) = double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), double_divide(c3, b3))), identity)),
% 6.77/4.64 inference(symmetry,[status(thm)],[323])).
% 6.77/4.64 tff(325,plain,
% 6.77/4.64 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity) = identity),
% 6.77/4.64 inference(transitivity,[status(thm)],[85, 101, 100, 10])).
% 6.77/4.64 tff(326,plain,
% 6.77/4.64 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z)) | (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))))),
% 6.77/4.64 inference(quant_inst,[status(thm)],[])).
% 6.77/4.64 tff(327,plain,
% 6.77/4.64 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity)))),
% 6.77/4.64 inference(unit_resolution,[status(thm)],[326, 27])).
% 6.77/4.64 tff(328,plain,
% 6.77/4.64 (double_divide(c3, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))) = double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)),
% 6.77/4.64 inference(transitivity,[status(thm)],[41, 55])).
% 6.77/4.64 tff(329,plain,
% 6.77/4.64 (double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(c3, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity))),
% 6.77/4.64 inference(monotonicity,[status(thm)],[65, 328])).
% 6.77/4.64 tff(330,plain,
% 6.77/4.64 (double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(c3, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))) = double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))),
% 6.77/4.64 inference(transitivity,[status(thm)],[329, 29])).
% 6.77/4.64 tff(331,plain,
% 6.77/4.64 (double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(c3, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)),
% 6.77/4.64 inference(monotonicity,[status(thm)],[330])).
% 6.77/4.64 tff(332,plain,
% 6.77/4.64 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity) = double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(c3, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)),
% 6.77/4.64 inference(symmetry,[status(thm)],[331])).
% 6.77/4.64 tff(333,plain,
% 6.77/4.64 ((~![X: $i] : (identity = double_divide(X, inverse(X)))) | (identity = double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), inverse(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))))))),
% 6.77/4.64 inference(quant_inst,[status(thm)],[])).
% 6.77/4.64 tff(334,plain,
% 6.77/4.64 (identity = double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), inverse(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity)))))),
% 6.77/4.64 inference(unit_resolution,[status(thm)],[333, 7])).
% 6.77/4.64 tff(335,plain,
% 6.77/4.64 (double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), inverse(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))))) = identity),
% 6.77/4.64 inference(symmetry,[status(thm)],[334])).
% 6.77/4.64 tff(336,plain,
% 6.77/4.64 ((~![X: $i] : (inverse(X) = double_divide(X, identity))) | (inverse(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity)))) = double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), identity))),
% 6.77/4.64 inference(quant_inst,[status(thm)],[])).
% 6.77/4.64 tff(337,plain,
% 6.77/4.64 (inverse(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity)))) = double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), identity)),
% 6.77/4.64 inference(unit_resolution,[status(thm)],[336, 17])).
% 6.77/4.64 tff(338,plain,
% 6.77/4.64 (double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), identity) = inverse(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))))),
% 6.77/4.64 inference(symmetry,[status(thm)],[337])).
% 6.77/4.64 tff(339,plain,
% 6.77/4.64 (double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))) = double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), identity)),
% 6.77/4.64 inference(monotonicity,[status(thm)],[40])).
% 6.77/4.64 tff(340,plain,
% 6.77/4.64 (double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))) = inverse(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))))),
% 6.77/4.64 inference(transitivity,[status(thm)],[339, 338])).
% 6.77/4.64 tff(341,plain,
% 6.77/4.64 (double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))) = double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), inverse(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity)))))),
% 6.77/4.64 inference(monotonicity,[status(thm)],[340])).
% 6.77/4.64 tff(342,plain,
% 6.77/4.64 (double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))) = double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))),
% 6.77/4.64 inference(transitivity,[status(thm)],[341, 335, 33])).
% 6.77/4.64 tff(343,plain,
% 6.77/4.64 (double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)),
% 6.77/4.64 inference(monotonicity,[status(thm)],[342])).
% 6.77/4.64 tff(344,plain,
% 6.77/4.64 (double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity) = double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(c3, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)),
% 6.77/4.64 inference(transitivity,[status(thm)],[343, 332])).
% 6.77/4.64 tff(345,plain,
% 6.77/4.64 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(c3, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity))),
% 6.77/4.64 inference(monotonicity,[status(thm)],[344])).
% 6.77/4.64 tff(346,plain,
% 6.77/4.64 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(c3, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity))),
% 6.82/4.64 inference(symmetry,[status(thm)],[345])).
% 6.82/4.64 tff(347,plain,
% 6.82/4.64 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z)) | (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(c3, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = c3)),
% 6.82/4.64 inference(quant_inst,[status(thm)],[])).
% 6.82/4.64 tff(348,plain,
% 6.82/4.64 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(c3, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = c3),
% 6.82/4.64 inference(unit_resolution,[status(thm)],[347, 27])).
% 6.82/4.64 tff(349,plain,
% 6.82/4.64 (c3 = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(c3, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity))),
% 6.82/4.64 inference(symmetry,[status(thm)],[348])).
% 6.82/4.64 tff(350,plain,
% 6.82/4.64 (double_divide(double_divide(c3, double_divide(c3, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity) = identity),
% 6.82/4.64 inference(transitivity,[status(thm)],[45, 85, 101, 100, 10])).
% 6.82/4.64 tff(351,plain,
% 6.82/4.64 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(c3, identity))), double_divide(double_divide(c3, double_divide(c3, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity)),
% 6.82/4.64 inference(monotonicity,[status(thm)],[50, 350])).
% 6.82/4.64 tff(352,plain,
% 6.82/4.64 (double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(c3, identity))), double_divide(double_divide(c3, double_divide(c3, double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity))),
% 6.82/4.64 inference(symmetry,[status(thm)],[351])).
% 6.82/4.64 tff(353,plain,
% 6.82/4.64 (double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity) = double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity)))),
% 6.82/4.64 inference(transitivity,[status(thm)],[352, 31, 349, 346, 327])).
% 6.82/4.64 tff(354,plain,
% 6.82/4.64 (double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)) = double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), identity)),
% 6.82/4.64 inference(monotonicity,[status(thm)],[353, 325])).
% 6.82/4.64 tff(355,plain,
% 6.82/4.64 (double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), identity) = double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))),
% 6.82/4.64 inference(symmetry,[status(thm)],[354])).
% 6.82/4.64 tff(356,plain,
% 6.82/4.64 ((~![X: $i] : (identity = double_divide(X, inverse(X)))) | (identity = double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), inverse(double_divide(identity, double_divide(identity, double_divide(c3, identity))))))),
% 6.82/4.64 inference(quant_inst,[status(thm)],[])).
% 6.82/4.64 tff(357,plain,
% 6.82/4.64 (identity = double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), inverse(double_divide(identity, double_divide(identity, double_divide(c3, identity)))))),
% 6.82/4.64 inference(unit_resolution,[status(thm)],[356, 7])).
% 6.82/4.64 tff(358,plain,
% 6.82/4.64 (double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), inverse(double_divide(identity, double_divide(identity, double_divide(c3, identity))))) = identity),
% 6.82/4.64 inference(symmetry,[status(thm)],[357])).
% 6.82/4.64 tff(359,plain,
% 6.82/4.64 ((~![X: $i] : (inverse(X) = double_divide(X, identity))) | (inverse(double_divide(identity, double_divide(identity, double_divide(c3, identity)))) = double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))),
% 6.82/4.64 inference(quant_inst,[status(thm)],[])).
% 6.82/4.64 tff(360,plain,
% 6.82/4.64 (inverse(double_divide(identity, double_divide(identity, double_divide(c3, identity)))) = double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity)),
% 6.82/4.64 inference(unit_resolution,[status(thm)],[359, 17])).
% 6.82/4.64 tff(361,plain,
% 6.82/4.64 (double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity) = inverse(double_divide(identity, double_divide(identity, double_divide(c3, identity))))),
% 6.82/4.64 inference(symmetry,[status(thm)],[360])).
% 6.82/4.64 tff(362,plain,
% 6.82/4.64 (double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))) = double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity)),
% 6.82/4.64 inference(monotonicity,[status(thm)],[40])).
% 6.82/4.64 tff(363,plain,
% 6.82/4.64 (double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))) = inverse(double_divide(identity, double_divide(identity, double_divide(c3, identity))))),
% 6.82/4.64 inference(transitivity,[status(thm)],[362, 361])).
% 6.82/4.64 tff(364,plain,
% 6.82/4.64 (double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))) = double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), inverse(double_divide(identity, double_divide(identity, double_divide(c3, identity)))))),
% 6.82/4.65 inference(monotonicity,[status(thm)],[363])).
% 6.82/4.65 tff(365,plain,
% 6.82/4.65 (double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))) = double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))),
% 6.82/4.65 inference(transitivity,[status(thm)],[364, 358, 33])).
% 6.82/4.65 tff(366,plain,
% 6.82/4.65 (double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)),
% 6.82/4.65 inference(monotonicity,[status(thm)],[365])).
% 6.82/4.65 tff(367,plain,
% 6.82/4.65 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity) = double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)),
% 6.82/4.65 inference(symmetry,[status(thm)],[366])).
% 6.82/4.65 tff(368,plain,
% 6.82/4.65 (identity = double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)),
% 6.82/4.65 inference(transitivity,[status(thm)],[9, 145, 88, 86, 367])).
% 6.82/4.65 tff(369,plain,
% 6.82/4.65 (double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), identity) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity))),
% 6.82/4.65 inference(monotonicity,[status(thm)],[65, 368])).
% 6.82/4.65 tff(370,plain,
% 6.82/4.65 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), identity)),
% 6.82/4.65 inference(symmetry,[status(thm)],[369])).
% 6.82/4.65 tff(371,plain,
% 6.82/4.65 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z)) | (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = double_divide(identity, double_divide(identity, double_divide(c3, identity))))),
% 6.82/4.65 inference(quant_inst,[status(thm)],[])).
% 6.82/4.65 tff(372,plain,
% 6.82/4.65 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = double_divide(identity, double_divide(identity, double_divide(c3, identity)))),
% 6.82/4.65 inference(unit_resolution,[status(thm)],[371, 27])).
% 6.82/4.65 tff(373,plain,
% 6.82/4.65 (double_divide(identity, double_divide(identity, double_divide(c3, identity))) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity))),
% 6.82/4.65 inference(symmetry,[status(thm)],[372])).
% 6.82/4.65 tff(374,plain,
% 6.82/4.65 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z)) | (double_divide(double_divide(identity, double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity), double_divide(double_divide(b3, a3), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), identity)) = double_divide(identity, double_divide(identity, double_divide(c3, identity))))),
% 6.82/4.65 inference(quant_inst,[status(thm)],[])).
% 6.82/4.65 tff(375,plain,
% 6.82/4.65 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity), double_divide(double_divide(b3, a3), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), identity)) = double_divide(identity, double_divide(identity, double_divide(c3, identity)))),
% 6.82/4.65 inference(unit_resolution,[status(thm)],[374, 27])).
% 6.82/4.65 tff(376,plain,
% 6.82/4.65 (double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity)) = double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), inverse(double_divide(identity, double_divide(identity, double_divide(c3, identity)))))),
% 6.82/4.65 inference(monotonicity,[status(thm)],[361])).
% 6.82/4.65 tff(377,plain,
% 6.82/4.65 (double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity)) = identity),
% 6.82/4.65 inference(transitivity,[status(thm)],[376, 358])).
% 6.82/4.65 tff(378,plain,
% 6.82/4.65 (double_divide(double_divide(b3, a3), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))) = double_divide(double_divide(b3, a3), identity)),
% 6.82/4.65 inference(monotonicity,[status(thm)],[377])).
% 6.82/4.65 tff(379,plain,
% 6.82/4.65 (double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), identity) = double_divide(double_divide(double_divide(b3, a3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))),
% 6.82/4.65 inference(monotonicity,[status(thm)],[378, 159])).
% 6.82/4.65 tff(380,plain,
% 6.82/4.65 (double_divide(double_divide(double_divide(b3, a3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)) = double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), identity)),
% 6.82/4.65 inference(symmetry,[status(thm)],[379])).
% 6.82/4.65 tff(381,plain,
% 6.82/4.65 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z)) | (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))))),
% 6.82/4.65 inference(quant_inst,[status(thm)],[])).
% 6.82/4.65 tff(382,plain,
% 6.82/4.65 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity)))),
% 6.82/4.65 inference(unit_resolution,[status(thm)],[381, 27])).
% 6.82/4.65 tff(383,plain,
% 6.82/4.65 ((~![X: $i] : (identity = double_divide(X, inverse(X)))) | (identity = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), inverse(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))))))),
% 6.82/4.65 inference(quant_inst,[status(thm)],[])).
% 6.82/4.65 tff(384,plain,
% 6.82/4.65 (identity = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), inverse(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity)))))),
% 6.82/4.65 inference(unit_resolution,[status(thm)],[383, 7])).
% 6.82/4.65 tff(385,plain,
% 6.82/4.65 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), inverse(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))))) = identity),
% 6.82/4.65 inference(symmetry,[status(thm)],[384])).
% 6.82/4.65 tff(386,plain,
% 6.82/4.65 ((~![X: $i] : (inverse(X) = double_divide(X, identity))) | (inverse(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity)))) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), identity))),
% 6.82/4.65 inference(quant_inst,[status(thm)],[])).
% 6.82/4.65 tff(387,plain,
% 6.82/4.65 (inverse(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity)))) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), identity)),
% 6.82/4.65 inference(unit_resolution,[status(thm)],[386, 17])).
% 6.82/4.65 tff(388,plain,
% 6.82/4.65 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), identity) = inverse(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))))),
% 6.82/4.65 inference(symmetry,[status(thm)],[387])).
% 6.82/4.65 tff(389,plain,
% 6.82/4.65 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), identity)),
% 6.82/4.65 inference(monotonicity,[status(thm)],[40])).
% 6.82/4.65 tff(390,plain,
% 6.82/4.65 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))) = inverse(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))))),
% 6.82/4.65 inference(transitivity,[status(thm)],[389, 388])).
% 6.82/4.65 tff(391,plain,
% 6.82/4.65 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), inverse(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity)))))),
% 6.82/4.65 inference(monotonicity,[status(thm)],[390])).
% 6.82/4.65 tff(392,plain,
% 6.82/4.65 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))) = double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))),
% 6.82/4.65 inference(transitivity,[status(thm)],[391, 385, 33])).
% 6.82/4.65 tff(393,plain,
% 6.82/4.65 (double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)),
% 6.82/4.65 inference(monotonicity,[status(thm)],[392])).
% 6.82/4.65 tff(394,plain,
% 6.82/4.65 (double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity) = identity),
% 6.82/4.65 inference(transitivity,[status(thm)],[393, 85, 101, 100, 10])).
% 6.82/4.65 tff(395,plain,
% 6.82/4.65 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), identity))), identity)),
% 6.82/4.65 inference(monotonicity,[status(thm)],[394])).
% 6.82/4.65 tff(396,plain,
% 6.82/4.65 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), identity))), identity) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity))),
% 6.82/4.65 inference(symmetry,[status(thm)],[395])).
% 6.82/4.65 tff(397,plain,
% 6.82/4.65 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z)) | (double_divide(double_divide(identity, double_divide(double_divide(double_divide(b3, a3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), double_divide(double_divide(b3, a3), identity))), identity)) = double_divide(b3, a3))),
% 6.82/4.65 inference(quant_inst,[status(thm)],[])).
% 6.82/4.65 tff(398,plain,
% 6.82/4.65 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(b3, a3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), double_divide(double_divide(b3, a3), identity))), identity)) = double_divide(b3, a3)),
% 6.82/4.65 inference(unit_resolution,[status(thm)],[397, 27])).
% 6.82/4.65 tff(399,plain,
% 6.82/4.65 ((~![X: $i] : (identity = double_divide(X, inverse(X)))) | (identity = double_divide(double_divide(b3, a3), inverse(double_divide(b3, a3))))),
% 6.82/4.65 inference(quant_inst,[status(thm)],[])).
% 6.82/4.65 tff(400,plain,
% 6.82/4.65 (identity = double_divide(double_divide(b3, a3), inverse(double_divide(b3, a3)))),
% 6.82/4.65 inference(unit_resolution,[status(thm)],[399, 7])).
% 6.82/4.65 tff(401,plain,
% 6.82/4.65 (double_divide(double_divide(b3, a3), inverse(double_divide(b3, a3))) = identity),
% 6.82/4.65 inference(symmetry,[status(thm)],[400])).
% 6.82/4.65 tff(402,plain,
% 6.82/4.65 ((~![X: $i] : (inverse(X) = double_divide(X, identity))) | (inverse(double_divide(b3, a3)) = double_divide(double_divide(b3, a3), identity))),
% 6.82/4.65 inference(quant_inst,[status(thm)],[])).
% 6.82/4.65 tff(403,plain,
% 6.82/4.65 (inverse(double_divide(b3, a3)) = double_divide(double_divide(b3, a3), identity)),
% 6.82/4.65 inference(unit_resolution,[status(thm)],[402, 17])).
% 6.82/4.65 tff(404,plain,
% 6.82/4.65 (double_divide(double_divide(b3, a3), identity) = inverse(double_divide(b3, a3))),
% 6.82/4.65 inference(symmetry,[status(thm)],[403])).
% 6.82/4.65 tff(405,plain,
% 6.82/4.65 (double_divide(double_divide(b3, a3), double_divide(double_divide(b3, a3), identity)) = double_divide(double_divide(b3, a3), inverse(double_divide(b3, a3)))),
% 6.82/4.66 inference(monotonicity,[status(thm)],[404])).
% 6.82/4.66 tff(406,plain,
% 6.82/4.66 (double_divide(double_divide(b3, a3), double_divide(double_divide(b3, a3), identity)) = identity),
% 6.82/4.66 inference(transitivity,[status(thm)],[405, 401])).
% 6.82/4.66 tff(407,plain,
% 6.82/4.66 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), double_divide(double_divide(b3, a3), identity))) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)),
% 6.82/4.66 inference(monotonicity,[status(thm)],[406])).
% 6.82/4.66 tff(408,plain,
% 6.82/4.66 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), double_divide(double_divide(b3, a3), identity))) = double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))),
% 6.82/4.66 inference(transitivity,[status(thm)],[407, 85, 101, 100, 10, 33])).
% 6.82/4.66 tff(409,plain,
% 6.82/4.66 (double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), double_divide(double_divide(b3, a3), identity))), identity) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)),
% 6.82/4.66 inference(monotonicity,[status(thm)],[408])).
% 6.82/4.66 tff(410,plain,
% 6.82/4.66 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity) = double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), double_divide(double_divide(b3, a3), identity))), identity)),
% 6.82/4.66 inference(symmetry,[status(thm)],[409])).
% 6.82/4.66 tff(411,plain,
% 6.82/4.66 (identity = double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), double_divide(double_divide(b3, a3), identity))), identity)),
% 6.82/4.66 inference(transitivity,[status(thm)],[9, 145, 88, 86, 410])).
% 6.82/4.66 tff(412,plain,
% 6.82/4.66 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(b3, a3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(b3, a3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), double_divide(double_divide(b3, a3), identity))), identity))),
% 6.82/4.66 inference(monotonicity,[status(thm)],[411])).
% 6.82/4.66 tff(413,plain,
% 6.82/4.66 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z)) | (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))),
% 6.82/4.66 inference(quant_inst,[status(thm)],[])).
% 6.82/4.66 tff(414,plain,
% 6.82/4.66 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))),
% 6.82/4.66 inference(unit_resolution,[status(thm)],[413, 27])).
% 6.82/4.66 tff(415,plain,
% 6.82/4.66 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z)) | (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(b3, a3), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = double_divide(b3, a3))),
% 6.82/4.66 inference(quant_inst,[status(thm)],[])).
% 6.82/4.66 tff(416,plain,
% 6.82/4.66 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(b3, a3), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = double_divide(b3, a3)),
% 6.82/4.66 inference(unit_resolution,[status(thm)],[415, 27])).
% 6.82/4.66 tff(417,plain,
% 6.82/4.66 (double_divide(double_divide(b3, a3), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))) = double_divide(double_divide(b3, a3), identity)),
% 6.82/4.66 inference(monotonicity,[status(thm)],[40])).
% 6.82/4.66 tff(418,plain,
% 6.82/4.66 (double_divide(double_divide(b3, a3), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))) = inverse(double_divide(b3, a3))),
% 6.82/4.66 inference(transitivity,[status(thm)],[417, 404])).
% 6.82/4.66 tff(419,plain,
% 6.82/4.66 (double_divide(double_divide(b3, a3), double_divide(double_divide(b3, a3), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))) = double_divide(double_divide(b3, a3), inverse(double_divide(b3, a3)))),
% 6.82/4.66 inference(monotonicity,[status(thm)],[418])).
% 6.82/4.66 tff(420,plain,
% 6.82/4.66 (double_divide(double_divide(b3, a3), double_divide(double_divide(b3, a3), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))) = double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))),
% 6.82/4.66 inference(transitivity,[status(thm)],[419, 401, 33])).
% 6.82/4.66 tff(421,plain,
% 6.82/4.66 (double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(b3, a3), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)),
% 6.82/4.66 inference(monotonicity,[status(thm)],[420])).
% 6.82/4.66 tff(422,plain,
% 6.82/4.66 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity) = double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(b3, a3), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)),
% 6.82/4.66 inference(symmetry,[status(thm)],[421])).
% 6.82/4.66 tff(423,plain,
% 6.82/4.66 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))) = double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(b3, a3), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)),
% 6.82/4.66 inference(transitivity,[status(thm)],[47, 422])).
% 6.82/4.66 tff(424,plain,
% 6.82/4.66 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(b3, a3), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity))),
% 6.82/4.66 inference(monotonicity,[status(thm)],[423])).
% 6.82/4.66 tff(425,plain,
% 6.82/4.66 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))) = double_divide(b3, a3)),
% 6.82/4.66 inference(transitivity,[status(thm)],[424, 416])).
% 6.82/4.66 tff(426,plain,
% 6.82/4.66 (double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity) = double_divide(double_divide(b3, a3), identity)),
% 6.82/4.66 inference(monotonicity,[status(thm)],[425])).
% 6.82/4.66 tff(427,plain,
% 6.82/4.66 (double_divide(double_divide(b3, a3), identity) = double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)),
% 6.82/4.66 inference(symmetry,[status(thm)],[426])).
% 6.82/4.66 tff(428,plain,
% 6.82/4.66 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), identity))), double_divide(double_divide(b3, a3), identity)) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity))),
% 6.82/4.66 inference(monotonicity,[status(thm)],[427])).
% 6.82/4.66 tff(429,plain,
% 6.82/4.66 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), identity))), double_divide(double_divide(b3, a3), identity)) = identity),
% 6.82/4.66 inference(transitivity,[status(thm)],[428, 414, 40])).
% 6.82/4.66 tff(430,plain,
% 6.82/4.66 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), identity))), double_divide(double_divide(b3, a3), identity))) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)),
% 6.82/4.66 inference(monotonicity,[status(thm)],[429])).
% 6.82/4.66 tff(431,plain,
% 6.82/4.66 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), identity))), double_divide(double_divide(b3, a3), identity))) = double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))),
% 6.82/4.66 inference(transitivity,[status(thm)],[430, 85, 101, 100, 10, 33])).
% 6.82/4.66 tff(432,plain,
% 6.82/4.66 (double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), identity))), double_divide(double_divide(b3, a3), identity))), identity) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)),
% 6.82/4.66 inference(monotonicity,[status(thm)],[431])).
% 6.82/4.66 tff(433,plain,
% 6.82/4.66 (double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), identity))), double_divide(double_divide(b3, a3), identity))), identity) = identity),
% 6.82/4.66 inference(transitivity,[status(thm)],[432, 85, 101, 100, 10])).
% 6.82/4.66 tff(434,plain,
% 6.82/4.66 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(b3, a3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), identity))), double_divide(double_divide(b3, a3), identity))), identity)) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(b3, a3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity)),
% 6.82/4.66 inference(monotonicity,[status(thm)],[433])).
% 6.82/4.66 tff(435,plain,
% 6.82/4.66 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z)) | (double_divide(double_divide(identity, double_divide(double_divide(double_divide(b3, a3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), identity))), double_divide(double_divide(b3, a3), identity))), identity)) = double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), identity))))),
% 6.82/4.66 inference(quant_inst,[status(thm)],[])).
% 6.82/4.66 tff(436,plain,
% 6.82/4.66 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(b3, a3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), identity))), double_divide(double_divide(b3, a3), identity))), identity)) = double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), identity)))),
% 6.82/4.66 inference(unit_resolution,[status(thm)],[435, 27])).
% 6.82/4.66 tff(437,plain,
% 6.82/4.66 (double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), identity))) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(b3, a3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), identity))), double_divide(double_divide(b3, a3), identity))), identity))),
% 6.82/4.66 inference(symmetry,[status(thm)],[436])).
% 6.82/4.66 tff(438,plain,
% 6.82/4.66 (double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), identity))) = double_divide(b3, a3)),
% 6.82/4.66 inference(transitivity,[status(thm)],[437, 434, 412, 398])).
% 6.82/4.66 tff(439,plain,
% 6.82/4.66 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), identity))), identity) = double_divide(double_divide(b3, a3), identity)),
% 6.82/4.66 inference(monotonicity,[status(thm)],[438])).
% 6.82/4.66 tff(440,plain,
% 6.82/4.66 (double_divide(double_divide(b3, a3), identity) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), identity))), identity)),
% 6.82/4.66 inference(symmetry,[status(thm)],[439])).
% 6.82/4.66 tff(441,plain,
% 6.82/4.66 (double_divide(double_divide(b3, a3), identity) = double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity)))),
% 6.82/4.66 inference(transitivity,[status(thm)],[440, 396, 382])).
% 6.82/4.66 tff(442,plain,
% 6.82/4.66 (double_divide(double_divide(double_divide(b3, a3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), identity)),
% 6.82/4.66 inference(monotonicity,[status(thm)],[441, 325])).
% 6.82/4.66 tff(443,plain,
% 6.82/4.66 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), identity) = double_divide(double_divide(double_divide(b3, a3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))),
% 6.82/4.66 inference(symmetry,[status(thm)],[442])).
% 6.82/4.66 tff(444,plain,
% 6.82/4.66 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), identity) = double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), identity)),
% 6.82/4.66 inference(transitivity,[status(thm)],[443, 380])).
% 6.82/4.66 tff(445,plain,
% 6.82/4.66 ((~![X: $i] : (identity = double_divide(X, inverse(X)))) | (identity = double_divide(double_divide(c3, multiply(a3, b3)), inverse(double_divide(c3, multiply(a3, b3)))))),
% 6.82/4.66 inference(quant_inst,[status(thm)],[])).
% 6.82/4.66 tff(446,plain,
% 6.82/4.66 (identity = double_divide(double_divide(c3, multiply(a3, b3)), inverse(double_divide(c3, multiply(a3, b3))))),
% 6.82/4.66 inference(unit_resolution,[status(thm)],[445, 7])).
% 6.82/4.66 tff(447,plain,
% 6.82/4.66 (double_divide(double_divide(c3, multiply(a3, b3)), inverse(double_divide(c3, multiply(a3, b3)))) = identity),
% 6.82/4.66 inference(symmetry,[status(thm)],[446])).
% 6.82/4.66 tff(448,plain,
% 6.82/4.67 ((~![X: $i] : (inverse(X) = double_divide(X, identity))) | (inverse(double_divide(c3, multiply(a3, b3))) = double_divide(double_divide(c3, multiply(a3, b3)), identity))),
% 6.82/4.67 inference(quant_inst,[status(thm)],[])).
% 6.82/4.67 tff(449,plain,
% 6.82/4.67 (inverse(double_divide(c3, multiply(a3, b3))) = double_divide(double_divide(c3, multiply(a3, b3)), identity)),
% 6.82/4.67 inference(unit_resolution,[status(thm)],[448, 17])).
% 6.82/4.67 tff(450,plain,
% 6.82/4.67 (double_divide(double_divide(c3, multiply(a3, b3)), identity) = inverse(double_divide(c3, multiply(a3, b3)))),
% 6.82/4.67 inference(symmetry,[status(thm)],[449])).
% 6.82/4.67 tff(451,plain,
% 6.82/4.67 (double_divide(double_divide(c3, multiply(a3, b3)), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))) = double_divide(double_divide(c3, multiply(a3, b3)), identity)),
% 6.82/4.67 inference(monotonicity,[status(thm)],[40])).
% 6.82/4.67 tff(452,plain,
% 6.82/4.67 (double_divide(double_divide(c3, multiply(a3, b3)), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))) = inverse(double_divide(c3, multiply(a3, b3)))),
% 6.82/4.67 inference(transitivity,[status(thm)],[451, 450])).
% 6.82/4.67 tff(453,plain,
% 6.82/4.67 (double_divide(double_divide(c3, multiply(a3, b3)), double_divide(double_divide(c3, multiply(a3, b3)), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))) = double_divide(double_divide(c3, multiply(a3, b3)), inverse(double_divide(c3, multiply(a3, b3))))),
% 6.82/4.67 inference(monotonicity,[status(thm)],[452])).
% 6.82/4.67 tff(454,plain,
% 6.82/4.67 (double_divide(double_divide(c3, multiply(a3, b3)), double_divide(double_divide(c3, multiply(a3, b3)), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))) = double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))),
% 6.82/4.67 inference(transitivity,[status(thm)],[453, 447, 33])).
% 6.82/4.67 tff(455,plain,
% 6.82/4.67 (double_divide(double_divide(double_divide(c3, multiply(a3, b3)), double_divide(double_divide(c3, multiply(a3, b3)), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)),
% 6.82/4.67 inference(monotonicity,[status(thm)],[454])).
% 6.82/4.67 tff(456,plain,
% 6.82/4.67 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity) = double_divide(double_divide(double_divide(c3, multiply(a3, b3)), double_divide(double_divide(c3, multiply(a3, b3)), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)),
% 6.82/4.67 inference(symmetry,[status(thm)],[455])).
% 6.82/4.67 tff(457,plain,
% 6.82/4.67 (identity = double_divide(double_divide(double_divide(c3, multiply(a3, b3)), double_divide(double_divide(c3, multiply(a3, b3)), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)),
% 6.82/4.67 inference(transitivity,[status(thm)],[9, 145, 88, 86, 456])).
% 6.82/4.67 tff(458,plain,
% 6.82/4.67 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, multiply(a3, b3)), identity))), identity) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, multiply(a3, b3)), identity))), double_divide(double_divide(double_divide(c3, multiply(a3, b3)), double_divide(double_divide(c3, multiply(a3, b3)), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity))),
% 6.82/4.67 inference(monotonicity,[status(thm)],[457])).
% 6.82/4.67 tff(459,plain,
% 6.82/4.67 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, multiply(a3, b3)), identity))), double_divide(double_divide(double_divide(c3, multiply(a3, b3)), double_divide(double_divide(c3, multiply(a3, b3)), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, multiply(a3, b3)), identity))), identity)),
% 6.82/4.67 inference(symmetry,[status(thm)],[458])).
% 6.82/4.67 tff(460,plain,
% 6.82/4.67 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z)) | (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, multiply(a3, b3)), identity))), double_divide(double_divide(double_divide(c3, multiply(a3, b3)), double_divide(double_divide(c3, multiply(a3, b3)), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = double_divide(c3, multiply(a3, b3)))),
% 6.82/4.67 inference(quant_inst,[status(thm)],[])).
% 6.82/4.67 tff(461,plain,
% 6.82/4.67 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, multiply(a3, b3)), identity))), double_divide(double_divide(double_divide(c3, multiply(a3, b3)), double_divide(double_divide(c3, multiply(a3, b3)), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = double_divide(c3, multiply(a3, b3))),
% 6.82/4.67 inference(unit_resolution,[status(thm)],[460, 27])).
% 6.82/4.67 tff(462,plain,
% 6.82/4.67 (double_divide(c3, multiply(a3, b3)) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, multiply(a3, b3)), identity))), double_divide(double_divide(double_divide(c3, multiply(a3, b3)), double_divide(double_divide(c3, multiply(a3, b3)), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity))),
% 6.82/4.67 inference(symmetry,[status(thm)],[461])).
% 6.82/4.67 tff(463,plain,
% 6.82/4.67 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z)) | (double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(c3, multiply(a3, b3)), identity)), identity)) = double_divide(c3, multiply(a3, b3)))),
% 6.82/4.67 inference(quant_inst,[status(thm)],[])).
% 6.82/4.67 tff(464,plain,
% 6.82/4.67 (double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(c3, multiply(a3, b3)), identity)), identity)) = double_divide(c3, multiply(a3, b3))),
% 6.82/4.67 inference(unit_resolution,[status(thm)],[463, 27])).
% 6.82/4.67 tff(465,plain,
% 6.82/4.67 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z)) | (double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), identity)), identity)) = double_divide(b3, a3))),
% 6.82/4.67 inference(quant_inst,[status(thm)],[])).
% 6.82/4.67 tff(466,plain,
% 6.82/4.67 (double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), identity)), identity)) = double_divide(b3, a3)),
% 6.82/4.67 inference(unit_resolution,[status(thm)],[465, 27])).
% 6.82/4.67 tff(467,plain,
% 6.82/4.67 ((~![Y: $i, X: $i] : (multiply(X, Y) = double_divide(double_divide(Y, X), identity))) | (multiply(a3, b3) = double_divide(double_divide(b3, a3), identity))),
% 6.82/4.67 inference(quant_inst,[status(thm)],[])).
% 6.82/4.67 tff(468,plain,
% 6.82/4.67 (multiply(a3, b3) = double_divide(double_divide(b3, a3), identity)),
% 6.82/4.67 inference(unit_resolution,[status(thm)],[467, 113])).
% 6.82/4.67 tff(469,plain,
% 6.82/4.67 (double_divide(double_divide(b3, a3), identity) = multiply(a3, b3)),
% 6.82/4.67 inference(symmetry,[status(thm)],[468])).
% 6.82/4.67 tff(470,plain,
% 6.82/4.67 (double_divide(c3, double_divide(double_divide(b3, a3), identity)) = double_divide(c3, multiply(a3, b3))),
% 6.82/4.67 inference(monotonicity,[status(thm)],[469])).
% 6.82/4.67 tff(471,plain,
% 6.82/4.67 (double_divide(double_divide(c3, double_divide(double_divide(b3, a3), identity)), identity) = double_divide(double_divide(c3, multiply(a3, b3)), identity)),
% 6.82/4.67 inference(monotonicity,[status(thm)],[470])).
% 6.82/4.67 tff(472,plain,
% 6.82/4.67 (double_divide(double_divide(c3, multiply(a3, b3)), identity) = double_divide(double_divide(c3, double_divide(double_divide(b3, a3), identity)), identity)),
% 6.82/4.67 inference(symmetry,[status(thm)],[471])).
% 6.82/4.67 tff(473,plain,
% 6.82/4.67 (double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(c3, multiply(a3, b3)), identity)) = double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(c3, double_divide(double_divide(b3, a3), identity)), identity))),
% 6.82/4.67 inference(monotonicity,[status(thm)],[472])).
% 6.82/4.67 tff(474,plain,
% 6.82/4.67 (double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(c3, multiply(a3, b3)), identity)) = double_divide(b3, a3)),
% 6.82/4.67 inference(transitivity,[status(thm)],[473, 466])).
% 6.82/4.67 tff(475,plain,
% 6.82/4.67 (double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(c3, multiply(a3, b3)), identity)), identity) = double_divide(double_divide(b3, a3), identity)),
% 6.82/4.67 inference(monotonicity,[status(thm)],[474])).
% 6.82/4.67 tff(476,plain,
% 6.82/4.67 (double_divide(double_divide(b3, a3), identity) = double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(c3, multiply(a3, b3)), identity)), identity)),
% 6.82/4.67 inference(symmetry,[status(thm)],[475])).
% 6.82/4.67 tff(477,plain,
% 6.82/4.67 (double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity), double_divide(double_divide(b3, a3), identity)) = double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(c3, multiply(a3, b3)), identity)), identity))),
% 6.82/4.67 inference(monotonicity,[status(thm)],[353, 476])).
% 6.82/4.67 tff(478,plain,
% 6.82/4.67 (double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity), double_divide(double_divide(b3, a3), identity)) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, multiply(a3, b3)), identity))), identity)),
% 6.82/4.67 inference(transitivity,[status(thm)],[477, 464, 462, 459])).
% 6.82/4.67 tff(479,plain,
% 6.82/4.67 (double_divide(identity, double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity), double_divide(double_divide(b3, a3), identity))) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, multiply(a3, b3)), identity))), identity))),
% 6.82/4.67 inference(monotonicity,[status(thm)],[33, 478])).
% 6.82/4.67 tff(480,plain,
% 6.82/4.67 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, multiply(a3, b3)), identity))), identity)) = double_divide(identity, double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity), double_divide(double_divide(b3, a3), identity)))),
% 6.82/4.67 inference(symmetry,[status(thm)],[479])).
% 6.82/4.67 tff(481,plain,
% 6.82/4.67 (double_divide(double_divide(c3, multiply(a3, b3)), double_divide(double_divide(c3, multiply(a3, b3)), identity)) = double_divide(double_divide(c3, multiply(a3, b3)), inverse(double_divide(c3, multiply(a3, b3))))),
% 6.82/4.67 inference(monotonicity,[status(thm)],[450])).
% 6.82/4.67 tff(482,plain,
% 6.82/4.67 (double_divide(double_divide(c3, multiply(a3, b3)), double_divide(double_divide(c3, multiply(a3, b3)), identity)) = identity),
% 6.82/4.67 inference(transitivity,[status(thm)],[481, 447])).
% 6.82/4.67 tff(483,plain,
% 6.82/4.67 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, multiply(a3, b3)), double_divide(double_divide(c3, multiply(a3, b3)), identity))) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)),
% 6.82/4.67 inference(monotonicity,[status(thm)],[482])).
% 6.82/4.67 tff(484,plain,
% 6.82/4.67 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, multiply(a3, b3)), double_divide(double_divide(c3, multiply(a3, b3)), identity))) = double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))),
% 6.82/4.67 inference(transitivity,[status(thm)],[483, 85, 101, 100, 10, 33])).
% 6.82/4.67 tff(485,plain,
% 6.82/4.67 (double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, multiply(a3, b3)), double_divide(double_divide(c3, multiply(a3, b3)), identity))), identity) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)),
% 6.82/4.67 inference(monotonicity,[status(thm)],[484])).
% 6.82/4.67 tff(486,plain,
% 6.82/4.67 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity) = double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, multiply(a3, b3)), double_divide(double_divide(c3, multiply(a3, b3)), identity))), identity)),
% 6.82/4.67 inference(symmetry,[status(thm)],[485])).
% 6.82/4.67 tff(487,plain,
% 6.82/4.67 (identity = double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, multiply(a3, b3)), double_divide(double_divide(c3, multiply(a3, b3)), identity))), identity)),
% 6.82/4.67 inference(transitivity,[status(thm)],[9, 145, 88, 86, 486])).
% 6.82/4.67 tff(488,plain,
% 6.82/4.67 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, multiply(a3, b3)), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, multiply(a3, b3)), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, multiply(a3, b3)), double_divide(double_divide(c3, multiply(a3, b3)), identity))), identity))),
% 6.82/4.67 inference(monotonicity,[status(thm)],[487])).
% 6.82/4.67 tff(489,plain,
% 6.82/4.67 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, multiply(a3, b3)), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, multiply(a3, b3)), double_divide(double_divide(c3, multiply(a3, b3)), identity))), identity)) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, multiply(a3, b3)), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity)),
% 6.82/4.67 inference(symmetry,[status(thm)],[488])).
% 6.82/4.67 tff(490,plain,
% 6.82/4.67 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z)) | (double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, multiply(a3, b3)), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, multiply(a3, b3)), double_divide(double_divide(c3, multiply(a3, b3)), identity))), identity)) = double_divide(c3, multiply(a3, b3)))),
% 6.82/4.67 inference(quant_inst,[status(thm)],[])).
% 6.82/4.67 tff(491,plain,
% 6.82/4.67 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, multiply(a3, b3)), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, multiply(a3, b3)), double_divide(double_divide(c3, multiply(a3, b3)), identity))), identity)) = double_divide(c3, multiply(a3, b3))),
% 6.82/4.67 inference(unit_resolution,[status(thm)],[490, 27])).
% 6.82/4.67 tff(492,plain,
% 6.82/4.67 (double_divide(c3, multiply(a3, b3)) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, multiply(a3, b3)), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, multiply(a3, b3)), double_divide(double_divide(c3, multiply(a3, b3)), identity))), identity))),
% 6.82/4.67 inference(symmetry,[status(thm)],[491])).
% 6.82/4.67 tff(493,plain,
% 6.82/4.67 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, multiply(a3, b3)), identity))), identity) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, multiply(a3, b3)), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity)),
% 6.82/4.67 inference(transitivity,[status(thm)],[458, 461, 492, 489])).
% 6.82/4.67 tff(494,plain,
% 6.82/4.67 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, multiply(a3, b3)), identity))), identity)) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, multiply(a3, b3)), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity))),
% 6.82/4.67 inference(monotonicity,[status(thm)],[493])).
% 6.82/4.67 tff(495,plain,
% 6.82/4.67 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, multiply(a3, b3)), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity)) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, multiply(a3, b3)), identity))), identity))),
% 6.82/4.67 inference(symmetry,[status(thm)],[494])).
% 6.82/4.67 tff(496,plain,
% 6.82/4.67 (double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)),
% 6.82/4.67 inference(transitivity,[status(thm)],[40, 9, 145, 88, 86])).
% 6.82/4.67 tff(497,plain,
% 6.82/4.67 (double_divide(double_divide(double_divide(c3, multiply(a3, b3)), identity), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))) = double_divide(double_divide(double_divide(c3, multiply(a3, b3)), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))),
% 6.82/4.67 inference(monotonicity,[status(thm)],[496])).
% 6.82/4.67 tff(498,plain,
% 6.82/4.67 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(c3, multiply(a3, b3)), identity), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))) = double_divide(identity, double_divide(double_divide(double_divide(c3, multiply(a3, b3)), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)))),
% 6.82/4.67 inference(monotonicity,[status(thm)],[40, 497])).
% 6.82/4.67 tff(499,plain,
% 6.82/4.67 (double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(c3, multiply(a3, b3)), identity), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, multiply(a3, b3)), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity)),
% 6.82/4.67 inference(monotonicity,[status(thm)],[498])).
% 6.82/4.67 tff(500,plain,
% 6.82/4.67 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, multiply(a3, b3)), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity) = double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(c3, multiply(a3, b3)), identity), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)),
% 6.82/4.67 inference(symmetry,[status(thm)],[499])).
% 6.82/4.67 tff(501,plain,
% 6.82/4.67 (double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))) = double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)))),
% 6.82/4.67 inference(transitivity,[status(thm)],[40, 9, 145, 88, 86, 80])).
% 6.82/4.67 tff(502,plain,
% 6.82/4.67 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, multiply(a3, b3)), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity)) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(c3, multiply(a3, b3)), identity), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity))),
% 6.82/4.68 inference(monotonicity,[status(thm)],[501, 500])).
% 6.82/4.68 tff(503,plain,
% 6.82/4.68 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(c3, multiply(a3, b3)), identity), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, multiply(a3, b3)), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity))),
% 6.82/4.68 inference(symmetry,[status(thm)],[502])).
% 6.82/4.68 tff(504,plain,
% 6.82/4.68 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z)) | (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(c3, multiply(a3, b3)), identity), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = double_divide(double_divide(c3, multiply(a3, b3)), identity))),
% 6.82/4.68 inference(quant_inst,[status(thm)],[])).
% 6.82/4.68 tff(505,plain,
% 6.82/4.68 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(c3, multiply(a3, b3)), identity), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = double_divide(double_divide(c3, multiply(a3, b3)), identity)),
% 6.82/4.68 inference(unit_resolution,[status(thm)],[504, 27])).
% 6.82/4.68 tff(506,plain,
% 6.82/4.68 (double_divide(double_divide(c3, multiply(a3, b3)), identity) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(c3, multiply(a3, b3)), identity), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity))),
% 6.82/4.68 inference(symmetry,[status(thm)],[505])).
% 6.82/4.68 tff(507,plain,
% 6.82/4.68 (double_divide(double_divide(c3, multiply(a3, b3)), identity) = double_divide(identity, double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity), double_divide(double_divide(b3, a3), identity)))),
% 6.82/4.68 inference(transitivity,[status(thm)],[506, 503, 495, 480])).
% 6.82/4.68 tff(508,plain,
% 6.82/4.68 (double_divide(double_divide(double_divide(c3, multiply(a3, b3)), identity), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), identity)) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity), double_divide(double_divide(b3, a3), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), identity))),
% 6.82/4.68 inference(monotonicity,[status(thm)],[507, 444])).
% 6.82/4.68 tff(509,plain,
% 6.82/4.68 (identity = double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(b3, a3), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)),
% 6.82/4.68 inference(transitivity,[status(thm)],[9, 145, 88, 86, 422])).
% 6.82/4.68 tff(510,plain,
% 6.82/4.68 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), identity) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(b3, a3), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity))),
% 6.82/4.68 inference(monotonicity,[status(thm)],[509])).
% 6.82/4.68 tff(511,plain,
% 6.82/4.68 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(b3, a3), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), identity)),
% 6.82/4.68 inference(symmetry,[status(thm)],[510])).
% 6.82/4.68 tff(512,plain,
% 6.82/4.68 (double_divide(b3, a3) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), double_divide(double_divide(double_divide(b3, a3), double_divide(double_divide(b3, a3), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity))),
% 6.82/4.68 inference(symmetry,[status(thm)],[416])).
% 6.82/4.68 tff(513,plain,
% 6.82/4.68 (double_divide(b3, a3) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), identity)),
% 6.82/4.68 inference(transitivity,[status(thm)],[512, 511])).
% 6.82/4.68 tff(514,plain,
% 6.82/4.68 (double_divide(double_divide(double_divide(c3, multiply(a3, b3)), identity), double_divide(b3, a3)) = double_divide(double_divide(double_divide(c3, multiply(a3, b3)), identity), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), identity))),
% 6.82/4.68 inference(monotonicity,[status(thm)],[513])).
% 6.82/4.68 tff(515,plain,
% 6.82/4.68 (double_divide(double_divide(double_divide(c3, multiply(a3, b3)), identity), double_divide(b3, a3)) = double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), double_divide(c3, b3))), identity)),
% 6.82/4.68 inference(transitivity,[status(thm)],[514, 508, 375, 373, 370, 355, 324])).
% 6.82/4.68 tff(516,plain,
% 6.82/4.68 (double_divide(double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(double_divide(double_divide(c3, multiply(a3, b3)), identity), double_divide(b3, a3))) = double_divide(double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), double_divide(c3, b3))), identity))),
% 6.82/4.68 inference(monotonicity,[status(thm)],[515])).
% 6.82/4.68 tff(517,plain,
% 6.82/4.68 (double_divide(double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(double_divide(double_divide(c3, multiply(a3, b3)), identity), double_divide(b3, a3))) = double_divide(double_divide(c3, b3), identity)),
% 6.82/4.68 inference(transitivity,[status(thm)],[516, 314, 312, 309, 296])).
% 6.82/4.68 tff(518,plain,
% 6.82/4.68 (double_divide(double_divide(double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(double_divide(double_divide(c3, multiply(a3, b3)), identity), double_divide(b3, a3))), identity) = double_divide(double_divide(double_divide(c3, b3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))),
% 6.82/4.68 inference(monotonicity,[status(thm)],[517, 159])).
% 6.82/4.68 tff(519,plain,
% 6.82/4.68 (double_divide(double_divide(double_divide(c3, b3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)) = double_divide(double_divide(double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(double_divide(double_divide(c3, multiply(a3, b3)), identity), double_divide(b3, a3))), identity)),
% 6.82/4.68 inference(symmetry,[status(thm)],[518])).
% 6.82/4.68 tff(520,plain,
% 6.82/4.68 (identity = double_divide(double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)),
% 6.82/4.68 inference(transitivity,[status(thm)],[9, 145, 88, 86, 205])).
% 6.82/4.68 tff(521,plain,
% 6.82/4.68 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), identity) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity))),
% 6.82/4.68 inference(monotonicity,[status(thm)],[520])).
% 6.82/4.68 tff(522,plain,
% 6.82/4.68 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), identity)),
% 6.82/4.68 inference(symmetry,[status(thm)],[521])).
% 6.82/4.68 tff(523,plain,
% 6.82/4.68 (double_divide(multiply(b3, c3), a3) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity))),
% 6.82/4.68 inference(symmetry,[status(thm)],[197])).
% 6.82/4.68 tff(524,plain,
% 6.82/4.68 (double_divide(multiply(b3, c3), a3) = inverse(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))))),
% 6.82/4.68 inference(transitivity,[status(thm)],[523, 522, 239])).
% 6.82/4.68 tff(525,plain,
% 6.82/4.68 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(multiply(b3, c3), a3)) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), inverse(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity)))))),
% 6.82/4.68 inference(monotonicity,[status(thm)],[524])).
% 6.82/4.68 tff(526,plain,
% 6.82/4.68 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(multiply(b3, c3), a3)) = identity),
% 6.82/4.68 inference(transitivity,[status(thm)],[525, 236])).
% 6.82/4.68 tff(527,plain,
% 6.82/4.68 (double_divide(double_divide(c3, b3), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(multiply(b3, c3), a3))) = double_divide(double_divide(c3, b3), identity)),
% 6.82/4.68 inference(monotonicity,[status(thm)],[526])).
% 6.82/4.68 tff(528,plain,
% 6.82/4.68 (double_divide(double_divide(double_divide(c3, b3), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(multiply(b3, c3), a3))), identity) = double_divide(double_divide(double_divide(c3, b3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))),
% 6.82/4.68 inference(monotonicity,[status(thm)],[527, 159])).
% 6.82/4.68 tff(529,plain,
% 6.82/4.68 (double_divide(double_divide(double_divide(c3, b3), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(multiply(b3, c3), a3))), identity) = double_divide(double_divide(double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(double_divide(double_divide(c3, multiply(a3, b3)), identity), double_divide(b3, a3))), identity)),
% 6.82/4.68 inference(transitivity,[status(thm)],[528, 519])).
% 6.82/4.68 tff(530,plain,
% 6.82/4.68 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z)) | (double_divide(double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), double_divide(c3, b3))), identity)) = double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))))),
% 6.82/4.68 inference(quant_inst,[status(thm)],[])).
% 6.82/4.68 tff(531,plain,
% 6.82/4.68 (double_divide(double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), double_divide(c3, b3))), identity)) = double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity)))),
% 6.82/4.68 inference(unit_resolution,[status(thm)],[530, 27])).
% 6.82/4.68 tff(532,plain,
% 6.82/4.68 (double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), double_divide(c3, b3))) = double_divide(double_divide(multiply(b3, c3), a3), identity)),
% 6.82/4.68 inference(monotonicity,[status(thm)],[321])).
% 6.82/4.68 tff(533,plain,
% 6.82/4.68 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), double_divide(c3, b3))), identity) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))),
% 6.82/4.68 inference(monotonicity,[status(thm)],[532, 159])).
% 6.82/4.68 tff(534,plain,
% 6.82/4.68 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), double_divide(c3, b3))), identity)),
% 6.82/4.68 inference(symmetry,[status(thm)],[533])).
% 6.82/4.68 tff(535,plain,
% 6.82/4.68 (double_divide(double_divide(multiply(b3, c3), a3), identity) = double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity)))),
% 6.82/4.68 inference(transitivity,[status(thm)],[232, 247, 250])).
% 6.82/4.68 tff(536,plain,
% 6.82/4.68 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), identity)),
% 6.82/4.68 inference(monotonicity,[status(thm)],[535, 325])).
% 6.82/4.68 tff(537,plain,
% 6.82/4.68 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), identity) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))),
% 6.82/4.68 inference(symmetry,[status(thm)],[536])).
% 6.82/4.68 tff(538,plain,
% 6.82/4.68 (double_divide(multiply(b3, c3), a3) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), double_divide(c3, b3))), identity)),
% 6.82/4.68 inference(transitivity,[status(thm)],[523, 522, 537, 534])).
% 6.82/4.68 tff(539,plain,
% 6.82/4.68 (double_divide(double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(multiply(b3, c3), a3)) = double_divide(double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), double_divide(c3, b3))), identity))),
% 6.82/4.68 inference(monotonicity,[status(thm)],[538])).
% 6.82/4.68 tff(540,plain,
% 6.82/4.68 (double_divide(double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(multiply(b3, c3), a3)) = inverse(double_divide(c3, b3))),
% 6.82/4.68 inference(transitivity,[status(thm)],[539, 531, 312, 309, 296, 261])).
% 6.82/4.68 tff(541,plain,
% 6.82/4.68 (double_divide(double_divide(c3, b3), double_divide(double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(multiply(b3, c3), a3))) = double_divide(double_divide(c3, b3), inverse(double_divide(c3, b3)))),
% 6.82/4.68 inference(monotonicity,[status(thm)],[540])).
% 6.82/4.68 tff(542,plain,
% 6.82/4.68 (double_divide(double_divide(c3, b3), double_divide(double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(multiply(b3, c3), a3))) = double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))),
% 6.82/4.68 inference(transitivity,[status(thm)],[541, 258, 33])).
% 6.82/4.68 tff(543,plain,
% 6.82/4.68 (double_divide(double_divide(double_divide(c3, b3), double_divide(double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(multiply(b3, c3), a3))), identity) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)),
% 6.82/4.68 inference(monotonicity,[status(thm)],[542])).
% 6.82/4.68 tff(544,plain,
% 6.82/4.68 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity) = double_divide(double_divide(double_divide(c3, b3), double_divide(double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(multiply(b3, c3), a3))), identity)),
% 6.82/4.68 inference(symmetry,[status(thm)],[543])).
% 6.82/4.68 tff(545,plain,
% 6.82/4.68 (identity = double_divide(double_divide(double_divide(c3, b3), double_divide(double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(multiply(b3, c3), a3))), identity)),
% 6.82/4.68 inference(transitivity,[status(thm)],[9, 145, 88, 86, 544])).
% 6.82/4.68 tff(546,plain,
% 6.82/4.68 (double_divide(double_divide(identity, double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(c3, b3), identity))), identity) = double_divide(double_divide(identity, double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(c3, b3), identity))), double_divide(double_divide(double_divide(c3, b3), double_divide(double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(multiply(b3, c3), a3))), identity))),
% 6.82/4.69 inference(monotonicity,[status(thm)],[545])).
% 6.82/4.69 tff(547,plain,
% 6.82/4.69 (double_divide(double_divide(identity, double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(c3, b3), identity))), double_divide(double_divide(double_divide(c3, b3), double_divide(double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(multiply(b3, c3), a3))), identity)) = double_divide(double_divide(identity, double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(c3, b3), identity))), identity)),
% 6.82/4.69 inference(symmetry,[status(thm)],[546])).
% 6.82/4.69 tff(548,plain,
% 6.82/4.69 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z)) | (double_divide(double_divide(identity, double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(c3, b3), identity))), double_divide(double_divide(double_divide(c3, b3), double_divide(double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(multiply(b3, c3), a3))), identity)) = double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(multiply(b3, c3), a3), identity))))),
% 6.82/4.69 inference(quant_inst,[status(thm)],[])).
% 6.82/4.69 tff(549,plain,
% 6.82/4.69 (double_divide(double_divide(identity, double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(c3, b3), identity))), double_divide(double_divide(double_divide(c3, b3), double_divide(double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(multiply(b3, c3), a3))), identity)) = double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(multiply(b3, c3), a3), identity)))),
% 6.82/4.69 inference(unit_resolution,[status(thm)],[548, 27])).
% 6.82/4.69 tff(550,plain,
% 6.82/4.69 (double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(multiply(b3, c3), a3), identity))) = double_divide(double_divide(identity, double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(c3, b3), identity))), double_divide(double_divide(double_divide(c3, b3), double_divide(double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(multiply(b3, c3), a3))), identity))),
% 6.82/4.69 inference(symmetry,[status(thm)],[549])).
% 6.82/4.69 tff(551,plain,
% 6.82/4.69 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z)) | (double_divide(double_divide(identity, double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(multiply(b3, c3), a3))), identity)) = double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(multiply(b3, c3), a3), identity))))),
% 6.82/4.69 inference(quant_inst,[status(thm)],[])).
% 6.82/4.69 tff(552,plain,
% 6.82/4.69 (double_divide(double_divide(identity, double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(multiply(b3, c3), a3))), identity)) = double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(multiply(b3, c3), a3), identity)))),
% 6.82/4.69 inference(unit_resolution,[status(thm)],[551, 27])).
% 6.82/4.69 tff(553,plain,
% 6.82/4.69 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), double_divide(double_divide(c3, b3), identity))), identity)) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity)),
% 6.82/4.69 inference(symmetry,[status(thm)],[269])).
% 6.82/4.69 tff(554,plain,
% 6.82/4.69 (double_divide(c3, b3) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), double_divide(double_divide(c3, b3), identity))), identity))),
% 6.82/4.69 inference(symmetry,[status(thm)],[255])).
% 6.82/4.69 tff(555,plain,
% 6.82/4.69 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), identity) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity)),
% 6.82/4.69 inference(transitivity,[status(thm)],[316, 273, 554, 553])).
% 6.82/4.69 tff(556,plain,
% 6.82/4.69 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), identity)) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity))),
% 6.82/4.69 inference(monotonicity,[status(thm)],[555])).
% 6.82/4.69 tff(557,plain,
% 6.82/4.69 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity)) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), identity))),
% 6.82/4.69 inference(symmetry,[status(thm)],[556])).
% 6.82/4.69 tff(558,plain,
% 6.82/4.69 (double_divide(double_divide(double_divide(c3, b3), identity), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))) = double_divide(double_divide(double_divide(c3, b3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))),
% 6.82/4.69 inference(monotonicity,[status(thm)],[496])).
% 6.82/4.69 tff(559,plain,
% 6.82/4.69 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(c3, b3), identity), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))) = double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)))),
% 6.82/4.69 inference(monotonicity,[status(thm)],[40, 558])).
% 6.82/4.69 tff(560,plain,
% 6.82/4.69 (double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(c3, b3), identity), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity)),
% 6.82/4.69 inference(monotonicity,[status(thm)],[559])).
% 6.82/4.69 tff(561,plain,
% 6.82/4.69 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity) = double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(c3, b3), identity), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)),
% 6.82/4.69 inference(symmetry,[status(thm)],[560])).
% 6.82/4.69 tff(562,plain,
% 6.82/4.69 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity)) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(c3, b3), identity), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity))),
% 6.82/4.69 inference(monotonicity,[status(thm)],[501, 561])).
% 6.82/4.69 tff(563,plain,
% 6.82/4.69 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(c3, b3), identity), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity))),
% 6.82/4.69 inference(symmetry,[status(thm)],[562])).
% 6.82/4.69 tff(564,plain,
% 6.82/4.69 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z)) | (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(c3, b3), identity), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = double_divide(double_divide(c3, b3), identity))),
% 6.82/4.69 inference(quant_inst,[status(thm)],[])).
% 6.82/4.69 tff(565,plain,
% 6.82/4.69 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(c3, b3), identity), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = double_divide(double_divide(c3, b3), identity)),
% 6.82/4.69 inference(unit_resolution,[status(thm)],[564, 27])).
% 6.82/4.69 tff(566,plain,
% 6.82/4.69 (double_divide(double_divide(c3, b3), identity) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(c3, b3), identity), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity))),
% 6.82/4.69 inference(symmetry,[status(thm)],[565])).
% 6.82/4.69 tff(567,plain,
% 6.82/4.69 (double_divide(double_divide(c3, b3), identity) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), identity))),
% 6.82/4.69 inference(transitivity,[status(thm)],[566, 563, 557])).
% 6.82/4.69 tff(568,plain,
% 6.82/4.69 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity)) = double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), identity)))),
% 6.82/4.69 inference(monotonicity,[status(thm)],[40, 567])).
% 6.82/4.69 tff(569,plain,
% 6.82/4.69 (double_divide(double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(multiply(b3, c3), a3)) = double_divide(double_divide(c3, b3), identity)),
% 6.82/4.69 inference(transitivity,[status(thm)],[539, 531, 312, 309, 296])).
% 6.82/4.69 tff(570,plain,
% 6.82/4.69 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(multiply(b3, c3), a3))) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))),
% 6.82/4.69 inference(monotonicity,[status(thm)],[569])).
% 6.82/4.69 tff(571,plain,
% 6.82/4.69 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(multiply(b3, c3), a3))) = double_divide(c3, b3)),
% 6.82/4.69 inference(transitivity,[status(thm)],[570, 568, 294, 291, 269, 255])).
% 6.82/4.69 tff(572,plain,
% 6.82/4.69 (double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(multiply(b3, c3), a3))), identity) = double_divide(double_divide(c3, b3), identity)),
% 6.82/4.69 inference(monotonicity,[status(thm)],[571])).
% 6.82/4.69 tff(573,plain,
% 6.82/4.69 (double_divide(double_divide(c3, b3), identity) = double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(multiply(b3, c3), a3))), identity)),
% 6.82/4.69 inference(symmetry,[status(thm)],[572])).
% 6.82/4.69 tff(574,plain,
% 6.82/4.69 (double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)) = double_divide(double_divide(multiply(b3, c3), a3), identity)),
% 6.82/4.69 inference(monotonicity,[status(thm)],[325])).
% 6.82/4.69 tff(575,plain,
% 6.82/4.69 (double_divide(identity, double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))),
% 6.82/4.69 inference(monotonicity,[status(thm)],[33, 574])).
% 6.82/4.69 tff(576,plain,
% 6.82/4.69 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity)) = double_divide(identity, double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)))),
% 6.82/4.69 inference(symmetry,[status(thm)],[575])).
% 6.82/4.69 tff(577,plain,
% 6.82/4.69 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), identity) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity)),
% 6.82/4.69 inference(transitivity,[status(thm)],[521, 197, 230, 227])).
% 6.82/4.69 tff(578,plain,
% 6.82/4.69 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), identity)) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity))),
% 6.82/4.69 inference(monotonicity,[status(thm)],[577])).
% 6.82/4.69 tff(579,plain,
% 6.82/4.69 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity)) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), identity))),
% 6.82/4.69 inference(symmetry,[status(thm)],[578])).
% 6.82/4.69 tff(580,plain,
% 6.82/4.69 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), identity), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))),
% 6.82/4.69 inference(monotonicity,[status(thm)],[496])).
% 6.82/4.69 tff(581,plain,
% 6.82/4.69 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), identity), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))) = double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)))),
% 6.82/4.69 inference(monotonicity,[status(thm)],[40, 580])).
% 6.82/4.69 tff(582,plain,
% 6.82/4.69 (double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), identity), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity)),
% 6.82/4.69 inference(monotonicity,[status(thm)],[581])).
% 6.82/4.69 tff(583,plain,
% 6.82/4.69 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity) = double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), identity), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)),
% 6.82/4.69 inference(symmetry,[status(thm)],[582])).
% 6.82/4.69 tff(584,plain,
% 6.82/4.69 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity)) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), identity), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity))),
% 6.82/4.69 inference(monotonicity,[status(thm)],[501, 583])).
% 6.82/4.69 tff(585,plain,
% 6.82/4.69 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), identity), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity))),
% 6.82/4.70 inference(symmetry,[status(thm)],[584])).
% 6.82/4.70 tff(586,plain,
% 6.82/4.70 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z)) | (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), identity), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = double_divide(double_divide(multiply(b3, c3), a3), identity))),
% 6.82/4.70 inference(quant_inst,[status(thm)],[])).
% 6.82/4.70 tff(587,plain,
% 6.82/4.70 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), identity), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = double_divide(double_divide(multiply(b3, c3), a3), identity)),
% 6.82/4.70 inference(unit_resolution,[status(thm)],[586, 27])).
% 6.82/4.70 tff(588,plain,
% 6.82/4.70 (double_divide(double_divide(multiply(b3, c3), a3), identity) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), identity), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity))),
% 6.82/4.70 inference(symmetry,[status(thm)],[587])).
% 6.82/4.70 tff(589,plain,
% 6.82/4.70 (double_divide(double_divide(multiply(b3, c3), a3), identity) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), identity))),
% 6.82/4.70 inference(transitivity,[status(thm)],[588, 585, 579])).
% 6.82/4.70 tff(590,plain,
% 6.82/4.70 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity)) = double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), identity)))),
% 6.82/4.70 inference(monotonicity,[status(thm)],[40, 589])).
% 6.82/4.70 tff(591,plain,
% 6.82/4.70 (double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), identity))) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))),
% 6.82/4.70 inference(symmetry,[status(thm)],[590])).
% 6.82/4.70 tff(592,plain,
% 6.82/4.70 (double_divide(multiply(b3, c3), a3) = double_divide(identity, double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)))),
% 6.82/4.70 inference(transitivity,[status(thm)],[230, 227, 218, 193, 591, 576])).
% 6.82/4.70 tff(593,plain,
% 6.82/4.70 (double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(c3, b3), identity)) = double_divide(double_divide(identity, double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(multiply(b3, c3), a3))), identity))),
% 6.82/4.70 inference(monotonicity,[status(thm)],[592, 573])).
% 6.82/4.70 tff(594,plain,
% 6.82/4.70 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z)) | (double_divide(double_divide(identity, double_divide(a3, double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(double_divide(double_divide(c3, b3), identity), a3)), identity)) = double_divide(double_divide(c3, b3), identity))),
% 6.82/4.70 inference(quant_inst,[status(thm)],[])).
% 6.82/4.70 tff(595,plain,
% 6.82/4.70 (double_divide(double_divide(identity, double_divide(a3, double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(double_divide(double_divide(c3, b3), identity), a3)), identity)) = double_divide(double_divide(c3, b3), identity)),
% 6.82/4.70 inference(unit_resolution,[status(thm)],[594, 27])).
% 6.82/4.70 tff(596,plain,
% 6.82/4.70 ((~![Y: $i, X: $i] : (multiply(X, Y) = double_divide(double_divide(Y, X), identity))) | (multiply(b3, c3) = double_divide(double_divide(c3, b3), identity))),
% 6.82/4.70 inference(quant_inst,[status(thm)],[])).
% 6.82/4.70 tff(597,plain,
% 6.82/4.70 (multiply(b3, c3) = double_divide(double_divide(c3, b3), identity)),
% 6.82/4.70 inference(unit_resolution,[status(thm)],[596, 113])).
% 6.82/4.70 tff(598,plain,
% 6.82/4.70 (double_divide(double_divide(c3, b3), identity) = multiply(b3, c3)),
% 6.82/4.70 inference(symmetry,[status(thm)],[597])).
% 6.82/4.70 tff(599,plain,
% 6.82/4.70 (double_divide(double_divide(double_divide(c3, b3), identity), a3) = double_divide(multiply(b3, c3), a3)),
% 6.82/4.70 inference(monotonicity,[status(thm)],[598])).
% 6.82/4.70 tff(600,plain,
% 6.82/4.70 (double_divide(double_divide(double_divide(c3, b3), identity), a3) = inverse(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))))),
% 6.82/4.70 inference(transitivity,[status(thm)],[599, 523, 522, 239])).
% 6.82/4.70 tff(601,plain,
% 6.82/4.70 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(double_divide(double_divide(c3, b3), identity), a3)) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), inverse(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity)))))),
% 6.82/4.70 inference(monotonicity,[status(thm)],[600])).
% 6.82/4.70 tff(602,plain,
% 6.82/4.70 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(double_divide(double_divide(c3, b3), identity), a3)) = double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))),
% 6.82/4.70 inference(transitivity,[status(thm)],[601, 236, 33])).
% 6.82/4.70 tff(603,plain,
% 6.82/4.70 (double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(double_divide(double_divide(c3, b3), identity), a3)), identity) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)),
% 6.82/4.70 inference(monotonicity,[status(thm)],[602])).
% 6.82/4.70 tff(604,plain,
% 6.82/4.70 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity) = double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(double_divide(double_divide(c3, b3), identity), a3)), identity)),
% 6.82/4.70 inference(symmetry,[status(thm)],[603])).
% 6.82/4.70 tff(605,plain,
% 6.82/4.70 (identity = double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(double_divide(double_divide(c3, b3), identity), a3)), identity)),
% 6.82/4.70 inference(transitivity,[status(thm)],[9, 145, 88, 86, 604])).
% 6.82/4.70 tff(606,plain,
% 6.82/4.70 (double_divide(multiply(b3, c3), a3) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), identity)),
% 6.82/4.70 inference(transitivity,[status(thm)],[523, 522])).
% 6.82/4.70 tff(607,plain,
% 6.82/4.70 (double_divide(a3, double_divide(multiply(b3, c3), a3)) = double_divide(a3, double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), identity))),
% 6.82/4.70 inference(monotonicity,[status(thm)],[606])).
% 6.82/4.70 tff(608,plain,
% 6.82/4.70 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(a3, double_divide(multiply(b3, c3), a3))) = double_divide(identity, double_divide(a3, double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), identity)))),
% 6.82/4.70 inference(monotonicity,[status(thm)],[40, 607])).
% 6.82/4.70 tff(609,plain,
% 6.82/4.70 (double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(a3, double_divide(multiply(b3, c3), a3))), identity) = double_divide(double_divide(identity, double_divide(a3, double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(double_divide(double_divide(c3, b3), identity), a3)), identity))),
% 6.82/4.70 inference(monotonicity,[status(thm)],[608, 605])).
% 6.82/4.70 tff(610,plain,
% 6.82/4.70 (double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(a3, double_divide(multiply(b3, c3), a3))), identity) = double_divide(double_divide(c3, b3), identity)),
% 6.82/4.70 inference(transitivity,[status(thm)],[609, 595])).
% 6.82/4.70 tff(611,plain,
% 6.82/4.70 (double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), identity))) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), identity))), double_divide(double_divide(multiply(b3, c3), a3), identity))), identity))),
% 6.82/4.70 inference(symmetry,[status(thm)],[193])).
% 6.82/4.70 tff(612,plain,
% 6.82/4.70 (double_divide(identity, double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))) = double_divide(multiply(b3, c3), a3)),
% 6.82/4.70 inference(transitivity,[status(thm)],[575, 590, 611, 217, 226, 229])).
% 6.82/4.70 tff(613,plain,
% 6.82/4.70 (double_divide(double_divide(identity, double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(a3, double_divide(multiply(b3, c3), a3))), identity)) = double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(c3, b3), identity))),
% 6.82/4.70 inference(monotonicity,[status(thm)],[612, 610])).
% 6.82/4.70 tff(614,plain,
% 6.82/4.70 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z)) | (double_divide(double_divide(identity, double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(a3, double_divide(multiply(b3, c3), a3))), identity)) = a3)),
% 6.82/4.70 inference(quant_inst,[status(thm)],[])).
% 6.82/4.70 tff(615,plain,
% 6.82/4.70 (double_divide(double_divide(identity, double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(a3, double_divide(multiply(b3, c3), a3))), identity)) = a3),
% 6.82/4.70 inference(unit_resolution,[status(thm)],[614, 27])).
% 6.82/4.70 tff(616,plain,
% 6.82/4.70 (a3 = double_divide(double_divide(identity, double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(a3, double_divide(multiply(b3, c3), a3))), identity))),
% 6.82/4.70 inference(symmetry,[status(thm)],[615])).
% 6.82/4.70 tff(617,plain,
% 6.82/4.70 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z)) | (double_divide(double_divide(identity, double_divide(double_divide(b3, a3), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(a3, double_divide(b3, a3))), identity)) = a3)),
% 6.82/4.70 inference(quant_inst,[status(thm)],[])).
% 6.82/4.70 tff(618,plain,
% 6.82/4.70 (double_divide(double_divide(identity, double_divide(double_divide(b3, a3), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(a3, double_divide(b3, a3))), identity)) = a3),
% 6.82/4.70 inference(unit_resolution,[status(thm)],[617, 27])).
% 6.82/4.70 tff(619,plain,
% 6.82/4.70 (double_divide(b3, a3) = inverse(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))))),
% 6.82/4.70 inference(transitivity,[status(thm)],[512, 511, 388])).
% 6.82/4.70 tff(620,plain,
% 6.82/4.70 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), double_divide(b3, a3)) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), inverse(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity)))))),
% 6.82/4.70 inference(monotonicity,[status(thm)],[619])).
% 6.82/4.70 tff(621,plain,
% 6.82/4.70 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), double_divide(b3, a3)) = double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))),
% 6.82/4.70 inference(transitivity,[status(thm)],[620, 385, 33])).
% 6.82/4.70 tff(622,plain,
% 6.82/4.70 (double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), double_divide(b3, a3)), identity) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)),
% 6.82/4.70 inference(monotonicity,[status(thm)],[621])).
% 6.82/4.70 tff(623,plain,
% 6.82/4.70 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity) = double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), double_divide(b3, a3)), identity)),
% 6.82/4.70 inference(symmetry,[status(thm)],[622])).
% 6.82/4.70 tff(624,plain,
% 6.82/4.70 (identity = double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), double_divide(b3, a3)), identity)),
% 6.82/4.70 inference(transitivity,[status(thm)],[9, 145, 88, 86, 623])).
% 6.82/4.70 tff(625,plain,
% 6.82/4.70 (double_divide(a3, double_divide(b3, a3)) = double_divide(a3, double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), identity))),
% 6.82/4.70 inference(monotonicity,[status(thm)],[513])).
% 6.82/4.70 tff(626,plain,
% 6.82/4.70 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(a3, double_divide(b3, a3))) = double_divide(identity, double_divide(a3, double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), identity)))),
% 6.82/4.70 inference(monotonicity,[status(thm)],[40, 625])).
% 6.82/4.70 tff(627,plain,
% 6.82/4.70 (double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(a3, double_divide(b3, a3))), identity) = double_divide(double_divide(identity, double_divide(a3, double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), double_divide(b3, a3)), identity))),
% 6.82/4.70 inference(monotonicity,[status(thm)],[626, 624])).
% 6.82/4.70 tff(628,plain,
% 6.82/4.70 (double_divide(double_divide(identity, double_divide(a3, double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), double_divide(b3, a3)), identity)) = double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(a3, double_divide(b3, a3))), identity)),
% 6.82/4.70 inference(symmetry,[status(thm)],[627])).
% 6.82/4.70 tff(629,plain,
% 6.82/4.70 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z)) | (double_divide(double_divide(identity, double_divide(a3, double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), double_divide(b3, a3)), identity)) = b3)),
% 6.82/4.70 inference(quant_inst,[status(thm)],[])).
% 6.82/4.70 tff(630,plain,
% 6.82/4.70 (double_divide(double_divide(identity, double_divide(a3, double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), double_divide(b3, a3)), identity)) = b3),
% 6.82/4.71 inference(unit_resolution,[status(thm)],[629, 27])).
% 6.82/4.71 tff(631,plain,
% 6.82/4.71 (b3 = double_divide(double_divide(identity, double_divide(a3, double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), double_divide(b3, a3)), identity))),
% 6.82/4.71 inference(symmetry,[status(thm)],[630])).
% 6.82/4.71 tff(632,plain,
% 6.82/4.71 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z)) | (double_divide(double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(b3, double_divide(c3, b3))), identity)) = b3)),
% 6.82/4.71 inference(quant_inst,[status(thm)],[])).
% 6.82/4.71 tff(633,plain,
% 6.82/4.71 (double_divide(double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(b3, double_divide(c3, b3))), identity)) = b3),
% 6.82/4.71 inference(unit_resolution,[status(thm)],[632, 27])).
% 6.82/4.71 tff(634,plain,
% 6.82/4.71 (double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity) = c3),
% 6.82/4.71 inference(transitivity,[status(thm)],[352, 31])).
% 6.82/4.71 tff(635,plain,
% 6.82/4.71 (double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity), b3) = double_divide(c3, b3)),
% 6.82/4.71 inference(monotonicity,[status(thm)],[634])).
% 6.82/4.71 tff(636,plain,
% 6.82/4.71 (double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity), b3) = inverse(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))))),
% 6.82/4.71 inference(transitivity,[status(thm)],[635, 318, 317, 302])).
% 6.82/4.71 tff(637,plain,
% 6.82/4.71 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity), b3)) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), inverse(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity)))))),
% 6.82/4.71 inference(monotonicity,[status(thm)],[636])).
% 6.82/4.71 tff(638,plain,
% 6.82/4.71 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity), b3)) = double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))),
% 6.82/4.71 inference(transitivity,[status(thm)],[637, 299, 33])).
% 6.82/4.71 tff(639,plain,
% 6.82/4.71 (double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity), b3)), identity) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)),
% 6.82/4.71 inference(monotonicity,[status(thm)],[638])).
% 6.82/4.71 tff(640,plain,
% 6.82/4.71 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity) = double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity), b3)), identity)),
% 6.82/4.71 inference(symmetry,[status(thm)],[639])).
% 6.82/4.71 tff(641,plain,
% 6.82/4.71 (identity = double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity), b3)), identity)),
% 6.82/4.71 inference(transitivity,[status(thm)],[9, 145, 88, 86, 640])).
% 6.82/4.71 tff(642,plain,
% 6.82/4.71 (double_divide(c3, b3) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), identity)),
% 6.82/4.71 inference(transitivity,[status(thm)],[318, 317])).
% 6.82/4.71 tff(643,plain,
% 6.82/4.71 (double_divide(b3, double_divide(c3, b3)) = double_divide(b3, double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), identity))),
% 6.82/4.71 inference(monotonicity,[status(thm)],[642])).
% 6.82/4.71 tff(644,plain,
% 6.82/4.71 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(b3, double_divide(c3, b3))) = double_divide(identity, double_divide(b3, double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), identity)))),
% 6.82/4.71 inference(monotonicity,[status(thm)],[40, 643])).
% 6.82/4.71 tff(645,plain,
% 6.82/4.71 (double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(b3, double_divide(c3, b3))), identity) = double_divide(double_divide(identity, double_divide(b3, double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity), b3)), identity))),
% 6.82/4.71 inference(monotonicity,[status(thm)],[644, 641])).
% 6.82/4.71 tff(646,plain,
% 6.82/4.71 (double_divide(double_divide(identity, double_divide(b3, double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity), b3)), identity)) = double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(b3, double_divide(c3, b3))), identity)),
% 6.82/4.71 inference(symmetry,[status(thm)],[645])).
% 6.82/4.71 tff(647,plain,
% 6.82/4.71 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z)) | (double_divide(double_divide(identity, double_divide(b3, double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity), b3)), identity)) = double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))),
% 6.82/4.71 inference(quant_inst,[status(thm)],[])).
% 6.82/4.71 tff(648,plain,
% 6.82/4.71 (double_divide(double_divide(identity, double_divide(b3, double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity), b3)), identity)) = double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity)),
% 6.82/4.71 inference(unit_resolution,[status(thm)],[647, 27])).
% 6.82/4.71 tff(649,plain,
% 6.82/4.71 (double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity) = double_divide(double_divide(identity, double_divide(b3, double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity), b3)), identity))),
% 6.82/4.71 inference(symmetry,[status(thm)],[648])).
% 6.82/4.71 tff(650,plain,
% 6.82/4.71 (double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity) = double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(b3, double_divide(c3, b3))), identity)),
% 6.82/4.71 inference(transitivity,[status(thm)],[649, 646])).
% 6.82/4.71 tff(651,plain,
% 6.82/4.71 (double_divide(double_divide(c3, b3), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)) = double_divide(double_divide(c3, b3), identity)),
% 6.82/4.71 inference(monotonicity,[status(thm)],[325])).
% 6.82/4.71 tff(652,plain,
% 6.82/4.71 (double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))),
% 6.82/4.71 inference(monotonicity,[status(thm)],[33, 651])).
% 6.82/4.71 tff(653,plain,
% 6.82/4.71 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity)) = double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)))),
% 6.82/4.71 inference(symmetry,[status(thm)],[652])).
% 6.82/4.71 tff(654,plain,
% 6.82/4.71 (double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), identity))) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))),
% 6.82/4.71 inference(symmetry,[status(thm)],[568])).
% 6.82/4.71 tff(655,plain,
% 6.82/4.71 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(c3, b3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), identity))), double_divide(double_divide(c3, b3), identity))), identity))),
% 6.82/4.71 inference(symmetry,[status(thm)],[291])).
% 6.82/4.71 tff(656,plain,
% 6.82/4.71 (double_divide(c3, b3) = double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)))),
% 6.82/4.71 inference(transitivity,[status(thm)],[554, 553, 655, 293, 654, 653])).
% 6.82/4.71 tff(657,plain,
% 6.82/4.71 (double_divide(double_divide(c3, b3), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity)) = double_divide(double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(b3, double_divide(c3, b3))), identity))),
% 6.82/4.71 inference(monotonicity,[status(thm)],[656, 650])).
% 6.82/4.71 tff(658,plain,
% 6.82/4.71 (c3 = double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity)))),
% 6.82/4.71 inference(transitivity,[status(thm)],[349, 346, 327])).
% 6.82/4.71 tff(659,plain,
% 6.82/4.71 (double_divide(c3, identity) = double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), identity)),
% 6.82/4.71 inference(monotonicity,[status(thm)],[658])).
% 6.82/4.71 tff(660,plain,
% 6.82/4.71 (double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))) = double_divide(identity, double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)))),
% 6.82/4.71 inference(transitivity,[status(thm)],[40, 9, 145, 88])).
% 6.82/4.71 tff(661,plain,
% 6.82/4.71 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity)) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity))),
% 6.82/4.71 inference(monotonicity,[status(thm)],[660, 60])).
% 6.82/4.71 tff(662,plain,
% 6.82/4.71 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z)) | (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = double_divide(identity, double_divide(identity, double_divide(c3, identity))))),
% 6.82/4.71 inference(quant_inst,[status(thm)],[])).
% 6.82/4.71 tff(663,plain,
% 6.82/4.71 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = double_divide(identity, double_divide(identity, double_divide(c3, identity)))),
% 6.82/4.71 inference(unit_resolution,[status(thm)],[662, 27])).
% 6.82/4.71 tff(664,plain,
% 6.82/4.71 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z)) | (double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(c3, identity))), identity)) = double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))),
% 6.82/4.71 inference(quant_inst,[status(thm)],[])).
% 6.82/4.71 tff(665,plain,
% 6.82/4.71 (double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(c3, identity))), identity)) = double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))),
% 6.82/4.71 inference(unit_resolution,[status(thm)],[664, 27])).
% 6.82/4.71 tff(666,plain,
% 6.82/4.71 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(c3, identity))) = double_divide(identity, double_divide(identity, double_divide(c3, identity)))),
% 6.82/4.71 inference(monotonicity,[status(thm)],[40, 49])).
% 6.82/4.71 tff(667,plain,
% 6.82/4.71 (double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(c3, identity))), identity) = double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity)),
% 6.82/4.71 inference(monotonicity,[status(thm)],[666])).
% 6.82/4.71 tff(668,plain,
% 6.82/4.71 (double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity) = double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(c3, identity))), identity)),
% 6.82/4.71 inference(symmetry,[status(thm)],[667])).
% 6.82/4.71 tff(669,plain,
% 6.82/4.71 (double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))) = double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(c3, identity))), identity)),
% 6.82/4.71 inference(transitivity,[status(thm)],[362, 668])).
% 6.82/4.71 tff(670,plain,
% 6.82/4.71 (double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))) = double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(c3, identity))), identity))),
% 6.82/4.71 inference(monotonicity,[status(thm)],[669])).
% 6.82/4.71 tff(671,plain,
% 6.82/4.71 (double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))) = double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))),
% 6.82/4.71 inference(transitivity,[status(thm)],[670, 665])).
% 6.82/4.71 tff(672,plain,
% 6.82/4.71 (double_divide(double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)),
% 6.82/4.71 inference(monotonicity,[status(thm)],[671])).
% 6.82/4.72 tff(673,plain,
% 6.82/4.72 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity) = double_divide(double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)),
% 6.82/4.72 inference(symmetry,[status(thm)],[672])).
% 6.82/4.72 tff(674,plain,
% 6.82/4.72 ((~![X: $i] : (identity = double_divide(X, inverse(X)))) | (identity = double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), inverse(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))))))),
% 6.82/4.72 inference(quant_inst,[status(thm)],[])).
% 6.82/4.72 tff(675,plain,
% 6.82/4.72 (identity = double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), inverse(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)))))),
% 6.82/4.72 inference(unit_resolution,[status(thm)],[674, 7])).
% 6.82/4.72 tff(676,plain,
% 6.82/4.72 (double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), inverse(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))))) = identity),
% 6.82/4.72 inference(symmetry,[status(thm)],[675])).
% 6.82/4.72 tff(677,plain,
% 6.82/4.72 ((~![X: $i] : (inverse(X) = double_divide(X, identity))) | (inverse(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)))) = double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity))),
% 6.82/4.72 inference(quant_inst,[status(thm)],[])).
% 6.82/4.72 tff(678,plain,
% 6.82/4.72 (inverse(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)))) = double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity)),
% 6.82/4.72 inference(unit_resolution,[status(thm)],[677, 17])).
% 6.82/4.72 tff(679,plain,
% 6.82/4.72 (double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity) = inverse(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))))),
% 6.82/4.72 inference(symmetry,[status(thm)],[678])).
% 6.82/4.72 tff(680,plain,
% 6.82/4.72 (double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))) = double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity)),
% 6.82/4.72 inference(monotonicity,[status(thm)],[40])).
% 6.82/4.72 tff(681,plain,
% 6.82/4.72 (double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))) = inverse(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))))),
% 6.82/4.72 inference(transitivity,[status(thm)],[680, 679])).
% 6.82/4.72 tff(682,plain,
% 6.82/4.72 (double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))) = double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), inverse(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)))))),
% 6.82/4.72 inference(monotonicity,[status(thm)],[681])).
% 6.82/4.72 tff(683,plain,
% 6.82/4.72 (double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))) = double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))),
% 6.82/4.72 inference(transitivity,[status(thm)],[682, 676, 33])).
% 6.82/4.72 tff(684,plain,
% 6.82/4.72 (double_divide(double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)),
% 6.82/4.72 inference(monotonicity,[status(thm)],[683])).
% 6.82/4.72 tff(685,plain,
% 6.82/4.72 (double_divide(double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity) = double_divide(double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)),
% 6.82/4.72 inference(transitivity,[status(thm)],[684, 673])).
% 6.82/4.72 tff(686,plain,
% 6.82/4.72 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity))),
% 6.82/4.72 inference(monotonicity,[status(thm)],[685])).
% 6.82/4.72 tff(687,plain,
% 6.82/4.72 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z)) | (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))))),
% 6.82/4.72 inference(quant_inst,[status(thm)],[])).
% 6.82/4.72 tff(688,plain,
% 6.82/4.72 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)))),
% 6.82/4.72 inference(unit_resolution,[status(thm)],[687, 27])).
% 6.82/4.72 tff(689,plain,
% 6.82/4.72 (double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity))),
% 6.82/4.72 inference(symmetry,[status(thm)],[688])).
% 6.82/4.72 tff(690,plain,
% 6.82/4.72 (double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))) = double_divide(identity, double_divide(identity, double_divide(c3, identity)))),
% 6.82/4.72 inference(transitivity,[status(thm)],[689, 686, 663])).
% 6.82/4.72 tff(691,plain,
% 6.82/4.72 (double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity) = double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity)),
% 6.82/4.72 inference(monotonicity,[status(thm)],[690])).
% 6.82/4.72 tff(692,plain,
% 6.82/4.72 (double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity) = double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity)),
% 6.82/4.72 inference(symmetry,[status(thm)],[691])).
% 6.82/4.72 tff(693,plain,
% 6.82/4.72 (double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity)) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity))),
% 6.82/4.72 inference(monotonicity,[status(thm)],[33, 692])).
% 6.82/4.72 tff(694,plain,
% 6.82/4.72 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z)) | (double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(c3, b3), identity))), double_divide(double_divide(double_divide(c3, b3), double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity), double_divide(identity, double_divide(identity, double_divide(c3, identity))))), identity)) = double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))),
% 6.82/4.72 inference(quant_inst,[status(thm)],[])).
% 6.82/4.72 tff(695,plain,
% 6.82/4.72 (double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(c3, b3), identity))), double_divide(double_divide(double_divide(c3, b3), double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity), double_divide(identity, double_divide(identity, double_divide(c3, identity))))), identity)) = double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity)),
% 6.82/4.72 inference(unit_resolution,[status(thm)],[694, 27])).
% 6.82/4.72 tff(696,plain,
% 6.82/4.72 (double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity) = double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity)))),
% 6.82/4.72 inference(transitivity,[status(thm)],[691, 352, 31, 349, 346, 327])).
% 6.82/4.72 tff(697,plain,
% 6.82/4.72 (double_divide(double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), identity)) = double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), inverse(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity)))))),
% 6.82/4.72 inference(monotonicity,[status(thm)],[696, 338])).
% 6.82/4.72 tff(698,plain,
% 6.82/4.72 (double_divide(identity, double_divide(identity, double_divide(c3, identity))) = double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), identity)),
% 6.82/4.72 inference(transitivity,[status(thm)],[373, 370])).
% 6.82/4.72 tff(699,plain,
% 6.82/4.72 (double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity), double_divide(identity, double_divide(identity, double_divide(c3, identity)))) = double_divide(double_divide(double_divide(identity, double_divide(double_divide(c3, identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity), double_divide(double_divide(identity, double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), identity))),
% 6.82/4.72 inference(monotonicity,[status(thm)],[692, 698])).
% 6.82/4.72 tff(700,plain,
% 6.82/4.72 (double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity), double_divide(identity, double_divide(identity, double_divide(c3, identity)))) = identity),
% 6.82/4.72 inference(transitivity,[status(thm)],[699, 697, 335])).
% 6.82/4.72 tff(701,plain,
% 6.82/4.72 (double_divide(double_divide(c3, b3), double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity), double_divide(identity, double_divide(identity, double_divide(c3, identity))))) = double_divide(double_divide(c3, b3), identity)),
% 6.82/4.72 inference(monotonicity,[status(thm)],[700])).
% 6.82/4.72 tff(702,plain,
% 6.82/4.72 (double_divide(double_divide(double_divide(c3, b3), double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity), double_divide(identity, double_divide(identity, double_divide(c3, identity))))), identity) = double_divide(double_divide(double_divide(c3, b3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))),
% 6.82/4.72 inference(monotonicity,[status(thm)],[701, 159])).
% 6.82/4.72 tff(703,plain,
% 6.82/4.72 (double_divide(double_divide(double_divide(c3, b3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)) = double_divide(double_divide(double_divide(c3, b3), double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity), double_divide(identity, double_divide(identity, double_divide(c3, identity))))), identity)),
% 6.82/4.72 inference(symmetry,[status(thm)],[702])).
% 6.82/4.72 tff(704,plain,
% 6.82/4.72 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), identity))), identity) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity))),
% 6.82/4.72 inference(symmetry,[status(thm)],[309])).
% 6.82/4.72 tff(705,plain,
% 6.82/4.72 (double_divide(double_divide(c3, b3), identity) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), identity))), identity)),
% 6.82/4.72 inference(symmetry,[status(thm)],[296])).
% 6.82/4.72 tff(706,plain,
% 6.82/4.72 (double_divide(double_divide(c3, b3), identity) = double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity)))),
% 6.82/4.72 inference(transitivity,[status(thm)],[705, 704, 311])).
% 6.82/4.72 tff(707,plain,
% 6.82/4.72 (double_divide(double_divide(double_divide(c3, b3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), identity)),
% 6.82/4.72 inference(monotonicity,[status(thm)],[706, 325])).
% 6.82/4.72 tff(708,plain,
% 6.82/4.72 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(c3, b3), identity))), identity) = double_divide(double_divide(double_divide(c3, b3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))),
% 6.82/4.72 inference(symmetry,[status(thm)],[707])).
% 6.82/4.72 tff(709,plain,
% 6.82/4.72 (double_divide(c3, b3) = double_divide(double_divide(double_divide(c3, b3), double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity), double_divide(identity, double_divide(identity, double_divide(c3, identity))))), identity)),
% 6.82/4.72 inference(transitivity,[status(thm)],[318, 317, 708, 703])).
% 6.82/4.72 tff(710,plain,
% 6.82/4.72 (double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(c3, b3), identity))), double_divide(c3, b3)) = double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(c3, b3), identity))), double_divide(double_divide(double_divide(c3, b3), double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity), double_divide(identity, double_divide(identity, double_divide(c3, identity))))), identity))),
% 6.82/4.73 inference(monotonicity,[status(thm)],[709])).
% 6.82/4.73 tff(711,plain,
% 6.82/4.73 (double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(c3, b3), identity))), double_divide(c3, b3)) = double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity)),
% 6.82/4.73 inference(transitivity,[status(thm)],[710, 695])).
% 6.82/4.73 tff(712,plain,
% 6.82/4.73 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(c3, b3), identity))), double_divide(c3, b3))) = double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))),
% 6.82/4.73 inference(monotonicity,[status(thm)],[40, 711])).
% 6.82/4.73 tff(713,plain,
% 6.82/4.73 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(c3, b3), identity))), double_divide(c3, b3))) = double_divide(identity, double_divide(identity, double_divide(c3, identity)))),
% 6.82/4.73 inference(transitivity,[status(thm)],[712, 693, 661, 57, 659, 369, 372])).
% 6.82/4.73 tff(714,plain,
% 6.82/4.73 (double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(c3, b3), identity))), double_divide(c3, b3))), identity) = double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity)),
% 6.82/4.73 inference(monotonicity,[status(thm)],[713])).
% 6.82/4.73 tff(715,plain,
% 6.82/4.73 (double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))) = double_divide(c3, b3)),
% 6.82/4.73 inference(transitivity,[status(thm)],[652, 568, 294, 291, 269, 255])).
% 6.82/4.73 tff(716,plain,
% 6.82/4.73 (double_divide(double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(c3, b3), identity))), double_divide(c3, b3))), identity)) = double_divide(double_divide(c3, b3), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))),
% 6.82/4.73 inference(monotonicity,[status(thm)],[715, 714])).
% 6.82/4.73 tff(717,plain,
% 6.82/4.73 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z)) | (double_divide(double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(c3, b3), identity))), double_divide(c3, b3))), identity)) = double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(c3, b3), identity))))),
% 6.82/4.73 inference(quant_inst,[status(thm)],[])).
% 6.82/4.73 tff(718,plain,
% 6.82/4.73 (double_divide(double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(c3, b3), identity))), double_divide(c3, b3))), identity)) = double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(c3, b3), identity)))),
% 6.82/4.73 inference(unit_resolution,[status(thm)],[717, 27])).
% 6.82/4.73 tff(719,plain,
% 6.82/4.73 (double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(c3, b3), identity))) = double_divide(double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(c3, b3), identity))), double_divide(c3, b3))), identity))),
% 6.82/4.73 inference(symmetry,[status(thm)],[718])).
% 6.82/4.73 tff(720,plain,
% 6.82/4.73 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z)) | (double_divide(double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(c3, b3), identity))), double_divide(c3, b3))), identity)) = double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(c3, b3), identity))))),
% 6.82/4.73 inference(quant_inst,[status(thm)],[])).
% 6.82/4.73 tff(721,plain,
% 6.82/4.73 (double_divide(double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(c3, b3), identity))), double_divide(c3, b3))), identity)) = double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(c3, b3), identity)))),
% 6.82/4.73 inference(unit_resolution,[status(thm)],[720, 27])).
% 6.82/4.73 tff(722,plain,
% 6.82/4.73 (double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(c3, b3), identity))), double_divide(c3, b3)) = inverse(double_divide(identity, double_divide(identity, double_divide(c3, identity))))),
% 6.82/4.73 inference(transitivity,[status(thm)],[710, 695, 361])).
% 6.82/4.73 tff(723,plain,
% 6.82/4.73 (double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(c3, b3), identity))), double_divide(c3, b3))) = double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), inverse(double_divide(identity, double_divide(identity, double_divide(c3, identity)))))),
% 6.82/4.73 inference(monotonicity,[status(thm)],[722])).
% 6.82/4.73 tff(724,plain,
% 6.82/4.73 (double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(c3, b3), identity))), double_divide(c3, b3))) = double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))),
% 6.82/4.73 inference(transitivity,[status(thm)],[723, 358, 33])).
% 6.82/4.73 tff(725,plain,
% 6.82/4.73 (double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(c3, b3), identity))), double_divide(c3, b3))), identity) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)),
% 6.82/4.73 inference(monotonicity,[status(thm)],[724])).
% 6.82/4.73 tff(726,plain,
% 6.82/4.73 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity) = double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(c3, b3), identity))), double_divide(c3, b3))), identity)),
% 6.82/4.73 inference(symmetry,[status(thm)],[725])).
% 6.82/4.73 tff(727,plain,
% 6.82/4.73 (identity = double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(c3, b3), identity))), double_divide(c3, b3))), identity)),
% 6.82/4.73 inference(transitivity,[status(thm)],[9, 145, 88, 86, 726])).
% 6.82/4.73 tff(728,plain,
% 6.82/4.73 (double_divide(double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), identity) = double_divide(double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(identity, double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), double_divide(double_divide(c3, b3), identity))), double_divide(c3, b3))), identity))),
% 6.82/4.73 inference(monotonicity,[status(thm)],[727])).
% 6.82/4.73 tff(729,plain,
% 6.82/4.73 (double_divide(double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), identity) = double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(a3, double_divide(b3, a3))), identity)),
% 6.82/4.73 inference(transitivity,[status(thm)],[728, 721, 719, 716, 657, 633, 631, 628])).
% 6.82/4.73 tff(730,plain,
% 6.82/4.73 (double_divide(double_divide(b3, a3), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)) = double_divide(double_divide(b3, a3), identity)),
% 6.82/4.73 inference(monotonicity,[status(thm)],[325])).
% 6.82/4.73 tff(731,plain,
% 6.82/4.73 (double_divide(identity, double_divide(double_divide(b3, a3), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))),
% 6.82/4.73 inference(monotonicity,[status(thm)],[33, 730])).
% 6.82/4.73 tff(732,plain,
% 6.82/4.73 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity)) = double_divide(identity, double_divide(double_divide(b3, a3), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)))),
% 6.82/4.73 inference(symmetry,[status(thm)],[731])).
% 6.82/4.73 tff(733,plain,
% 6.82/4.73 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(b3, a3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), double_divide(double_divide(b3, a3), identity))), identity)) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(b3, a3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity)),
% 6.82/4.73 inference(symmetry,[status(thm)],[412])).
% 6.82/4.73 tff(734,plain,
% 6.82/4.73 (double_divide(b3, a3) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(b3, a3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), double_divide(double_divide(b3, a3), identity))), identity))),
% 6.82/4.73 inference(symmetry,[status(thm)],[398])).
% 6.82/4.73 tff(735,plain,
% 6.82/4.73 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), identity) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(b3, a3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity)),
% 6.82/4.73 inference(transitivity,[status(thm)],[510, 416, 734, 733])).
% 6.82/4.73 tff(736,plain,
% 6.82/4.73 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), identity)) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(b3, a3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity))),
% 6.82/4.73 inference(monotonicity,[status(thm)],[735])).
% 6.82/4.73 tff(737,plain,
% 6.82/4.73 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(b3, a3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity)) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), identity))),
% 6.82/4.73 inference(symmetry,[status(thm)],[736])).
% 6.82/4.73 tff(738,plain,
% 6.82/4.73 (double_divide(double_divide(double_divide(b3, a3), identity), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3)))) = double_divide(double_divide(double_divide(b3, a3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))),
% 6.82/4.73 inference(monotonicity,[status(thm)],[496])).
% 6.82/4.73 tff(739,plain,
% 6.82/4.73 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(b3, a3), identity), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))) = double_divide(identity, double_divide(double_divide(double_divide(b3, a3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)))),
% 6.82/4.73 inference(monotonicity,[status(thm)],[40, 738])).
% 6.82/4.73 tff(740,plain,
% 6.82/4.73 (double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(b3, a3), identity), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(b3, a3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity)),
% 6.82/4.73 inference(monotonicity,[status(thm)],[739])).
% 6.82/4.73 tff(741,plain,
% 6.82/4.73 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(b3, a3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity) = double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(b3, a3), identity), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)),
% 6.82/4.73 inference(symmetry,[status(thm)],[740])).
% 6.82/4.73 tff(742,plain,
% 6.82/4.73 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(b3, a3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity)) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(b3, a3), identity), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity))),
% 6.82/4.73 inference(monotonicity,[status(thm)],[501, 741])).
% 6.82/4.73 tff(743,plain,
% 6.82/4.73 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(b3, a3), identity), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(b3, a3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity))),
% 6.82/4.73 inference(symmetry,[status(thm)],[742])).
% 6.82/4.73 tff(744,plain,
% 6.82/4.73 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z)) | (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(b3, a3), identity), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = double_divide(double_divide(b3, a3), identity))),
% 6.82/4.73 inference(quant_inst,[status(thm)],[])).
% 6.82/4.73 tff(745,plain,
% 6.82/4.73 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(b3, a3), identity), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity)) = double_divide(double_divide(b3, a3), identity)),
% 6.82/4.73 inference(unit_resolution,[status(thm)],[744, 27])).
% 6.82/4.73 tff(746,plain,
% 6.82/4.73 (double_divide(double_divide(b3, a3), identity) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(double_divide(b3, a3), identity), double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))))), identity))),
% 6.82/4.73 inference(symmetry,[status(thm)],[745])).
% 6.82/4.73 tff(747,plain,
% 6.82/4.73 (double_divide(double_divide(b3, a3), identity) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), identity))),
% 6.82/4.73 inference(transitivity,[status(thm)],[746, 743, 737])).
% 6.82/4.73 tff(748,plain,
% 6.82/4.73 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity)) = double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), identity)))),
% 6.82/4.73 inference(monotonicity,[status(thm)],[40, 747])).
% 6.82/4.73 tff(749,plain,
% 6.82/4.73 (double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), identity))) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))),
% 6.82/4.73 inference(symmetry,[status(thm)],[748])).
% 6.82/4.73 tff(750,plain,
% 6.82/4.73 (double_divide(double_divide(identity, double_divide(double_divide(double_divide(b3, a3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), identity) = double_divide(double_divide(identity, double_divide(double_divide(double_divide(b3, a3), identity), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(b3, a3), identity))), identity))), double_divide(double_divide(b3, a3), identity))), identity))),
% 6.82/4.74 inference(symmetry,[status(thm)],[434])).
% 6.82/4.74 tff(751,plain,
% 6.82/4.74 (double_divide(b3, a3) = double_divide(identity, double_divide(double_divide(b3, a3), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity)))),
% 6.82/4.74 inference(transitivity,[status(thm)],[734, 733, 750, 436, 749, 732])).
% 6.82/4.74 tff(752,plain,
% 6.82/4.74 (double_divide(double_divide(b3, a3), double_divide(double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), identity)) = double_divide(double_divide(identity, double_divide(double_divide(b3, a3), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(a3, double_divide(b3, a3))), identity))),
% 6.82/4.74 inference(monotonicity,[status(thm)],[751, 729])).
% 6.82/4.74 tff(753,plain,
% 6.82/4.74 (double_divide(double_divide(b3, a3), double_divide(double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), identity)) = double_divide(double_divide(identity, double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(c3, b3), identity))), identity)),
% 6.82/4.74 inference(transitivity,[status(thm)],[752, 618, 616, 613, 593, 552, 550, 547])).
% 6.82/4.74 tff(754,plain,
% 6.82/4.74 (double_divide(identity, double_divide(double_divide(b3, a3), double_divide(double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), identity))) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(c3, b3), identity))), identity))),
% 6.82/4.74 inference(monotonicity,[status(thm)],[33, 753])).
% 6.82/4.74 tff(755,plain,
% 6.82/4.74 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(c3, b3), identity))), identity)) = double_divide(identity, double_divide(double_divide(b3, a3), double_divide(double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), identity)))),
% 6.82/4.74 inference(symmetry,[status(thm)],[754])).
% 6.82/4.74 tff(756,plain,
% 6.82/4.74 (double_divide(double_divide(identity, double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(multiply(b3, c3), a3))), identity)) = double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(c3, b3), identity))),
% 6.82/4.74 inference(symmetry,[status(thm)],[593])).
% 6.82/4.74 tff(757,plain,
% 6.82/4.74 (double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(multiply(b3, c3), a3), identity))) = double_divide(double_divide(identity, double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), identity))), double_divide(double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(multiply(b3, c3), a3))), identity))),
% 6.82/4.74 inference(symmetry,[status(thm)],[552])).
% 6.82/4.74 tff(758,plain,
% 6.82/4.74 (double_divide(double_divide(identity, double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(c3, b3), identity))), identity) = double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(c3, b3), identity))),
% 6.82/4.74 inference(transitivity,[status(thm)],[546, 549, 757, 756])).
% 6.82/4.74 tff(759,plain,
% 6.82/4.74 (double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(c3, b3), identity))), identity)) = double_divide(identity, double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(c3, b3), identity)))),
% 6.82/4.74 inference(monotonicity,[status(thm)],[40, 758])).
% 6.82/4.74 tff(760,plain,
% 6.82/4.74 (double_divide(identity, double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(c3, b3), identity))) = double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(identity, double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(c3, b3), identity))), identity))),
% 6.82/4.74 inference(symmetry,[status(thm)],[759])).
% 6.82/4.74 tff(761,plain,
% 6.82/4.74 (double_divide(identity, double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(c3, b3), identity))) = double_divide(identity, double_divide(double_divide(b3, a3), double_divide(double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), identity)))),
% 6.82/4.74 inference(transitivity,[status(thm)],[760, 755])).
% 6.82/4.74 tff(762,plain,
% 6.82/4.74 (double_divide(double_divide(identity, double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(c3, b3), identity))), double_divide(double_divide(double_divide(c3, b3), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(multiply(b3, c3), a3))), identity)) = double_divide(double_divide(identity, double_divide(double_divide(b3, a3), double_divide(double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(double_divide(double_divide(c3, multiply(a3, b3)), identity), double_divide(b3, a3))), identity))),
% 6.82/4.74 inference(monotonicity,[status(thm)],[761, 529])).
% 6.82/4.74 tff(763,plain,
% 6.82/4.74 (double_divide(double_divide(identity, double_divide(double_divide(b3, a3), double_divide(double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(double_divide(double_divide(c3, multiply(a3, b3)), identity), double_divide(b3, a3))), identity)) = double_divide(double_divide(identity, double_divide(double_divide(multiply(b3, c3), a3), double_divide(double_divide(c3, b3), identity))), double_divide(double_divide(double_divide(c3, b3), double_divide(double_divide(identity, double_divide(double_divide(double_divide(multiply(b3, c3), a3), inverse(double_divide(multiply(b3, c3), a3))), double_divide(double_divide(multiply(b3, c3), a3), identity))), double_divide(multiply(b3, c3), a3))), identity))),
% 6.91/4.74 inference(symmetry,[status(thm)],[762])).
% 6.91/4.74 tff(764,plain,
% 6.91/4.74 ((~![Z: $i, Y: $i, X: $i] : (double_divide(double_divide(identity, double_divide(X, double_divide(Y, identity))), double_divide(double_divide(Y, double_divide(Z, X)), identity)) = Z)) | (double_divide(double_divide(identity, double_divide(double_divide(b3, a3), double_divide(double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(double_divide(double_divide(c3, multiply(a3, b3)), identity), double_divide(b3, a3))), identity)) = double_divide(double_divide(c3, multiply(a3, b3)), identity))),
% 6.91/4.74 inference(quant_inst,[status(thm)],[])).
% 6.91/4.74 tff(765,plain,
% 6.91/4.74 (double_divide(double_divide(identity, double_divide(double_divide(b3, a3), double_divide(double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(double_divide(double_divide(c3, multiply(a3, b3)), identity), double_divide(b3, a3))), identity)) = double_divide(double_divide(c3, multiply(a3, b3)), identity)),
% 6.91/4.74 inference(unit_resolution,[status(thm)],[764, 27])).
% 6.91/4.74 tff(766,plain,
% 6.91/4.74 (double_divide(double_divide(c3, multiply(a3, b3)), identity) = double_divide(double_divide(identity, double_divide(double_divide(b3, a3), double_divide(double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), identity))), double_divide(double_divide(double_divide(identity, double_divide(double_divide(c3, b3), double_divide(double_divide(identity, double_divide(identity, double_divide(c3, identity))), identity))), double_divide(double_divide(double_divide(c3, multiply(a3, b3)), identity), double_divide(b3, a3))), identity))),
% 6.91/4.74 inference(symmetry,[status(thm)],[765])).
% 6.91/4.74 tff(767,plain,
% 6.91/4.74 ((~![Y: $i, X: $i] : (multiply(X, Y) = double_divide(double_divide(Y, X), identity))) | (multiply(multiply(a3, b3), c3) = double_divide(double_divide(c3, multiply(a3, b3)), identity))),
% 6.91/4.74 inference(quant_inst,[status(thm)],[])).
% 6.91/4.74 tff(768,plain,
% 6.91/4.74 (multiply(multiply(a3, b3), c3) = double_divide(double_divide(c3, multiply(a3, b3)), identity)),
% 6.91/4.74 inference(unit_resolution,[status(thm)],[767, 113])).
% 6.91/4.74 tff(769,plain,
% 6.91/4.74 (multiply(multiply(a3, b3), c3) = multiply(a3, multiply(b3, c3))),
% 6.91/4.74 inference(transitivity,[status(thm)],[768, 766, 763, 253, 251, 248, 233, 191])).
% 6.91/4.74 tff(770,assumption,(~(multiply(multiply(a3, b3), c3) = multiply(a3, multiply(b3, c3)))), introduced(assumption)).
% 6.91/4.74 tff(771,plain,
% 6.91/4.74 ($false),
% 6.91/4.74 inference(unit_resolution,[status(thm)],[770, 769])).
% 6.91/4.74 tff(772,plain,(multiply(multiply(a3, b3), c3) = multiply(a3, multiply(b3, c3))), inference(lemma,lemma(discharge,[]))).
% 6.91/4.74 tff(773,plain,
% 6.91/4.74 (((~(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)))))),
% 6.91/4.74 inference(rewrite,[status(thm)],[])).
% 6.91/4.74 tff(774,plain,
% 6.91/4.74 ((((~(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)))))),
% 6.91/4.74 inference(rewrite,[status(thm)],[])).
% 6.91/4.74 tff(775,plain,
% 6.91/4.74 (((~(multiply(inverse(a1), a1) = identity)) | (~(multiply(identity, a2) = a2))) <=> ((~(multiply(inverse(a1), a1) = identity)) | (~(multiply(identity, a2) = a2)))),
% 6.91/4.74 inference(rewrite,[status(thm)],[])).
% 6.91/4.74 tff(776,plain,
% 6.91/4.74 ((((~(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)))))),
% 6.91/4.74 inference(monotonicity,[status(thm)],[775])).
% 6.91/4.74 tff(777,plain,
% 6.91/4.74 ((((~(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)))))),
% 6.91/4.74 inference(transitivity,[status(thm)],[776, 774])).
% 6.91/4.74 tff(778,axiom,(((~(multiply(inverse(a1), a1) = identity)) | (~(multiply(identity, a2) = a2))) | (~(multiply(multiply(a3, b3), c3) = multiply(a3, multiply(b3, c3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_these_axioms')).
% 6.91/4.74 tff(779,plain,
% 6.91/4.74 ((~(multiply(inverse(a1), a1) = identity)) | (~(multiply(identity, a2) = a2)) | (~(multiply(multiply(a3, b3), c3) = multiply(a3, multiply(b3, c3))))),
% 6.91/4.74 inference(modus_ponens,[status(thm)],[778, 777])).
% 6.91/4.74 tff(780,plain,
% 6.91/4.74 ((~(multiply(inverse(a1), a1) = identity)) | (~(multiply(identity, a2) = a2)) | (~(multiply(multiply(a3, b3), c3) = multiply(a3, multiply(b3, c3))))),
% 6.91/4.74 inference(modus_ponens,[status(thm)],[779, 773])).
% 6.91/4.74 tff(781,plain,
% 6.91/4.74 ((~(multiply(inverse(a1), a1) = identity)) | (~(multiply(identity, a2) = a2)) | (~(multiply(multiply(a3, b3), c3) = multiply(a3, multiply(b3, c3))))),
% 6.91/4.74 inference(modus_ponens,[status(thm)],[780, 773])).
% 6.91/4.74 tff(782,plain,
% 6.91/4.74 ((~(multiply(inverse(a1), a1) = identity)) | (~(multiply(identity, a2) = a2)) | (~(multiply(multiply(a3, b3), c3) = multiply(a3, multiply(b3, c3))))),
% 6.91/4.74 inference(modus_ponens,[status(thm)],[781, 773])).
% 6.91/4.74 tff(783,plain,
% 6.91/4.74 ((~(multiply(inverse(a1), a1) = identity)) | (~(multiply(identity, a2) = a2)) | (~(multiply(multiply(a3, b3), c3) = multiply(a3, multiply(b3, c3))))),
% 6.91/4.74 inference(modus_ponens,[status(thm)],[782, 773])).
% 6.91/4.74 tff(784,plain,
% 6.91/4.74 ((~(multiply(inverse(a1), a1) = identity)) | (~(multiply(identity, a2) = a2)) | (~(multiply(multiply(a3, b3), c3) = multiply(a3, multiply(b3, c3))))),
% 6.91/4.74 inference(modus_ponens,[status(thm)],[783, 773])).
% 6.91/4.74 tff(785,plain,
% 6.91/4.75 ((~(multiply(inverse(a1), a1) = identity)) | (~(multiply(identity, a2) = a2)) | (~(multiply(multiply(a3, b3), c3) = multiply(a3, multiply(b3, c3))))),
% 6.91/4.75 inference(modus_ponens,[status(thm)],[784, 773])).
% 6.91/4.75 tff(786,plain,
% 6.91/4.75 ((~(multiply(inverse(a1), a1) = identity)) | (~(multiply(identity, a2) = a2)) | (~(multiply(multiply(a3, b3), c3) = multiply(a3, multiply(b3, c3))))),
% 6.91/4.75 inference(modus_ponens,[status(thm)],[785, 773])).
% 6.91/4.75 tff(787,plain,
% 6.91/4.75 ((~(multiply(inverse(a1), a1) = identity)) | (~(multiply(identity, a2) = a2))),
% 6.91/4.75 inference(unit_resolution,[status(thm)],[786, 772])).
% 6.91/4.75 tff(788,plain,
% 6.91/4.75 (~(multiply(inverse(a1), a1) = identity)),
% 6.91/4.75 inference(unit_resolution,[status(thm)],[787, 188])).
% 6.91/4.75 tff(789,plain,
% 6.91/4.75 ($false),
% 6.91/4.75 inference(unit_resolution,[status(thm)],[788, 116])).
% 6.91/4.75 % SZS output end Proof
%------------------------------------------------------------------------------